TSTP Solution File: ALG126+1 by Zenon---0.7.1
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%------------------------------------------------------------------------------
% File : Zenon---0.7.1
% Problem : ALG126+1 : TPTP v8.1.0. Released v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : run_zenon %s %d
% Computer : n024.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 54.60s 54.84s
% Output : Proof 55.30s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : ALG126+1 : TPTP v8.1.0. Released v2.7.0.
% 0.06/0.12 % Command : run_zenon %s %d
% 0.13/0.33 % Computer : n024.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 600
% 0.13/0.33 % DateTime : Wed Jun 8 22:02:04 EDT 2022
% 0.13/0.33 % CPUTime :
% 54.60/54.84 (* PROOF-FOUND *)
% 54.60/54.84 % SZS status Theorem
% 54.60/54.84 (* BEGIN-PROOF *)
% 54.60/54.84 % SZS output start Proof
% 54.60/54.84 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))))))))))))))))))))))))))).
% 54.60/54.84 Proof.
% 54.60/54.84 assert (zenon_L1_ : (~((op1 (op1 (e11) (e11)) (op1 (e11) (e11))) = (op1 (e10) (e10)))) -> ((e10) = (op1 (e11) (e11))) -> False).
% 54.60/54.84 do 0 intro. intros zenon_H12 zenon_H13.
% 54.60/54.84 cut (((op1 (e11) (e11)) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H14].
% 54.60/54.84 cut (((op1 (e11) (e11)) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H14].
% 54.60/54.84 congruence.
% 54.60/54.84 apply zenon_H14. apply sym_equal. exact zenon_H13.
% 54.60/54.84 apply zenon_H14. apply sym_equal. exact zenon_H13.
% 54.60/54.84 (* end of lemma zenon_L1_ *)
% 54.60/54.84 assert (zenon_L2_ : ((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) -> ((op1 (e10) (e11)) = (e13)) -> ((e10) = (op1 (e11) (e11))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> False).
% 54.60/54.84 do 0 intro. intros zenon_H15 zenon_H16 zenon_H13 zenon_H17.
% 54.60/54.84 elim (classic ((op1 (e10) (e11)) = (op1 (e10) (e11)))); [ zenon_intro zenon_H18 | zenon_intro zenon_H19 ].
% 54.60/54.84 cut (((op1 (e10) (e11)) = (op1 (e10) (e11))) = ((op1 (e10) (e10)) = (op1 (e10) (e11)))).
% 54.60/54.84 intro zenon_D_pnotp.
% 54.60/54.84 apply zenon_H17.
% 54.60/54.84 rewrite <- zenon_D_pnotp.
% 54.60/54.84 exact zenon_H18.
% 54.60/54.84 cut (((op1 (e10) (e11)) = (op1 (e10) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H19].
% 54.60/54.84 cut (((op1 (e10) (e11)) = (op1 (e10) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H1a].
% 54.60/54.84 congruence.
% 54.60/54.84 cut (((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) = ((op1 (e10) (e11)) = (op1 (e10) (e10)))).
% 54.60/54.84 intro zenon_D_pnotp.
% 54.60/54.84 apply zenon_H1a.
% 54.60/54.84 rewrite <- zenon_D_pnotp.
% 54.60/54.84 exact zenon_H15.
% 54.60/54.84 cut (((op1 (op1 (e11) (e11)) (op1 (e11) (e11))) = (op1 (e10) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H12].
% 54.60/54.84 cut (((e13) = (op1 (e10) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H1b].
% 54.60/54.84 congruence.
% 54.60/54.84 elim (classic ((op1 (e10) (e11)) = (op1 (e10) (e11)))); [ zenon_intro zenon_H18 | zenon_intro zenon_H19 ].
% 54.60/54.84 cut (((op1 (e10) (e11)) = (op1 (e10) (e11))) = ((e13) = (op1 (e10) (e11)))).
% 54.60/54.84 intro zenon_D_pnotp.
% 54.60/54.84 apply zenon_H1b.
% 54.60/54.84 rewrite <- zenon_D_pnotp.
% 54.60/54.84 exact zenon_H18.
% 54.60/54.84 cut (((op1 (e10) (e11)) = (op1 (e10) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H19].
% 54.60/54.84 cut (((op1 (e10) (e11)) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H1c].
% 54.60/54.84 congruence.
% 54.60/54.84 exact (zenon_H1c zenon_H16).
% 54.60/54.84 apply zenon_H19. apply refl_equal.
% 54.60/54.84 apply zenon_H19. apply refl_equal.
% 54.60/54.84 apply (zenon_L1_); trivial.
% 54.60/54.84 apply zenon_H19. apply refl_equal.
% 54.60/54.84 apply zenon_H19. apply refl_equal.
% 54.60/54.84 (* end of lemma zenon_L2_ *)
% 54.60/54.84 assert (zenon_L3_ : ((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) -> ((op1 (e10) (e12)) = (e13)) -> ((e10) = (op1 (e11) (e11))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> False).
% 54.60/54.84 do 0 intro. intros zenon_H15 zenon_H1d zenon_H13 zenon_H1e.
% 54.60/54.84 elim (classic ((op1 (e10) (e12)) = (op1 (e10) (e12)))); [ zenon_intro zenon_H1f | zenon_intro zenon_H20 ].
% 54.60/54.84 cut (((op1 (e10) (e12)) = (op1 (e10) (e12))) = ((op1 (e10) (e10)) = (op1 (e10) (e12)))).
% 54.60/54.84 intro zenon_D_pnotp.
% 54.60/54.84 apply zenon_H1e.
% 54.60/54.84 rewrite <- zenon_D_pnotp.
% 54.60/54.84 exact zenon_H1f.
% 54.60/54.84 cut (((op1 (e10) (e12)) = (op1 (e10) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H20].
% 54.60/54.84 cut (((op1 (e10) (e12)) = (op1 (e10) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H21].
% 54.60/54.84 congruence.
% 54.60/54.84 cut (((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) = ((op1 (e10) (e12)) = (op1 (e10) (e10)))).
% 54.60/54.84 intro zenon_D_pnotp.
% 54.60/54.84 apply zenon_H21.
% 54.60/54.84 rewrite <- zenon_D_pnotp.
% 54.60/54.84 exact zenon_H15.
% 54.60/54.84 cut (((op1 (op1 (e11) (e11)) (op1 (e11) (e11))) = (op1 (e10) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H12].
% 54.60/54.84 cut (((e13) = (op1 (e10) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H22].
% 54.60/54.84 congruence.
% 54.60/54.84 elim (classic ((op1 (e10) (e12)) = (op1 (e10) (e12)))); [ zenon_intro zenon_H1f | zenon_intro zenon_H20 ].
% 54.60/54.84 cut (((op1 (e10) (e12)) = (op1 (e10) (e12))) = ((e13) = (op1 (e10) (e12)))).
% 54.60/54.84 intro zenon_D_pnotp.
% 54.60/54.84 apply zenon_H22.
% 54.60/54.84 rewrite <- zenon_D_pnotp.
% 54.60/54.84 exact zenon_H1f.
% 54.60/54.84 cut (((op1 (e10) (e12)) = (op1 (e10) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H20].
% 54.60/54.84 cut (((op1 (e10) (e12)) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H23].
% 54.60/54.84 congruence.
% 54.60/54.84 exact (zenon_H23 zenon_H1d).
% 54.60/54.84 apply zenon_H20. apply refl_equal.
% 54.60/54.84 apply zenon_H20. apply refl_equal.
% 54.60/54.84 apply (zenon_L1_); trivial.
% 54.60/54.84 apply zenon_H20. apply refl_equal.
% 54.60/54.84 apply zenon_H20. apply refl_equal.
% 54.60/54.84 (* end of lemma zenon_L3_ *)
% 54.60/54.84 assert (zenon_L4_ : ((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) -> ((op1 (e10) (e13)) = (e13)) -> ((e10) = (op1 (e11) (e11))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> False).
% 54.60/54.84 do 0 intro. intros zenon_H15 zenon_H24 zenon_H13 zenon_H25.
% 54.60/54.84 elim (classic ((op1 (e10) (e13)) = (op1 (e10) (e13)))); [ zenon_intro zenon_H26 | zenon_intro zenon_H27 ].
% 54.60/54.84 cut (((op1 (e10) (e13)) = (op1 (e10) (e13))) = ((op1 (e10) (e10)) = (op1 (e10) (e13)))).
% 54.60/54.84 intro zenon_D_pnotp.
% 54.60/54.84 apply zenon_H25.
% 54.60/54.84 rewrite <- zenon_D_pnotp.
% 54.60/54.84 exact zenon_H26.
% 54.60/54.84 cut (((op1 (e10) (e13)) = (op1 (e10) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H27].
% 54.60/54.84 cut (((op1 (e10) (e13)) = (op1 (e10) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H28].
% 54.60/54.84 congruence.
% 54.60/54.84 cut (((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) = ((op1 (e10) (e13)) = (op1 (e10) (e10)))).
% 54.60/54.84 intro zenon_D_pnotp.
% 54.60/54.84 apply zenon_H28.
% 54.60/54.84 rewrite <- zenon_D_pnotp.
% 54.60/54.84 exact zenon_H15.
% 54.60/54.84 cut (((op1 (op1 (e11) (e11)) (op1 (e11) (e11))) = (op1 (e10) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H12].
% 54.60/54.84 cut (((e13) = (op1 (e10) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H29].
% 54.60/54.84 congruence.
% 54.60/54.84 elim (classic ((op1 (e10) (e13)) = (op1 (e10) (e13)))); [ zenon_intro zenon_H26 | zenon_intro zenon_H27 ].
% 54.60/54.84 cut (((op1 (e10) (e13)) = (op1 (e10) (e13))) = ((e13) = (op1 (e10) (e13)))).
% 54.60/54.84 intro zenon_D_pnotp.
% 54.60/54.84 apply zenon_H29.
% 54.60/54.84 rewrite <- zenon_D_pnotp.
% 54.60/54.84 exact zenon_H26.
% 54.60/54.84 cut (((op1 (e10) (e13)) = (op1 (e10) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H27].
% 54.60/54.84 cut (((op1 (e10) (e13)) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H2a].
% 54.60/54.84 congruence.
% 54.60/54.84 exact (zenon_H2a zenon_H24).
% 54.60/54.84 apply zenon_H27. apply refl_equal.
% 54.60/54.84 apply zenon_H27. apply refl_equal.
% 54.60/54.84 apply (zenon_L1_); trivial.
% 54.60/54.84 apply zenon_H27. apply refl_equal.
% 54.60/54.84 apply zenon_H27. apply refl_equal.
% 54.60/54.84 (* end of lemma zenon_L4_ *)
% 54.60/54.84 assert (zenon_L5_ : (((op2 (e20) (e20)) = (e20))/\(((op2 (e20) (e20)) = (e20))/\(((~((op2 (e20) (e20)) = (e20)))\/(~((op2 (e20) (e20)) = (e20))))/\(((~((op2 (e20) (e21)) = (e20)))\/(~((op2 (e20) (e20)) = (e21))))/\(((~((op2 (e20) (e22)) = (e20)))\/(~((op2 (e20) (e20)) = (e22))))/\((~((op2 (e20) (e23)) = (e20)))\/(~((op2 (e20) (e20)) = (e23))))))))) -> False).
% 54.60/54.84 do 0 intro. intros zenon_H2b.
% 54.60/54.84 apply (zenon_and_s _ _ zenon_H2b). zenon_intro zenon_H2d. zenon_intro zenon_H2c.
% 54.60/54.84 apply (zenon_and_s _ _ zenon_H2c). zenon_intro zenon_H2d. zenon_intro zenon_H2e.
% 54.60/54.84 apply (zenon_and_s _ _ zenon_H2e). zenon_intro zenon_H30. zenon_intro zenon_H2f.
% 54.60/54.84 apply (zenon_or_s _ _ zenon_H30); [ zenon_intro zenon_H31 | zenon_intro zenon_H31 ].
% 54.60/54.84 exact (zenon_H31 zenon_H2d).
% 54.60/54.84 exact (zenon_H31 zenon_H2d).
% 54.60/54.84 (* end of lemma zenon_L5_ *)
% 54.60/54.84 assert (zenon_L6_ : (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> ((e20) = (op2 (e21) (e21))) -> ((op2 (e21) (e20)) = (e20)) -> False).
% 54.60/54.84 do 0 intro. intros zenon_H32 zenon_H33 zenon_H34.
% 54.60/54.84 cut (((e20) = (op2 (e21) (e21))) = ((op2 (e21) (e20)) = (op2 (e21) (e21)))).
% 54.60/54.84 intro zenon_D_pnotp.
% 54.60/54.84 apply zenon_H32.
% 54.60/54.84 rewrite <- zenon_D_pnotp.
% 54.60/54.84 exact zenon_H33.
% 54.60/54.84 cut (((op2 (e21) (e21)) = (op2 (e21) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H35].
% 54.60/54.84 cut (((e20) = (op2 (e21) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H36].
% 54.60/54.84 congruence.
% 54.60/54.84 elim (classic ((op2 (e21) (e20)) = (op2 (e21) (e20)))); [ zenon_intro zenon_H37 | zenon_intro zenon_H38 ].
% 54.60/54.84 cut (((op2 (e21) (e20)) = (op2 (e21) (e20))) = ((e20) = (op2 (e21) (e20)))).
% 54.60/54.84 intro zenon_D_pnotp.
% 54.60/54.84 apply zenon_H36.
% 54.60/54.84 rewrite <- zenon_D_pnotp.
% 54.60/54.84 exact zenon_H37.
% 54.60/54.84 cut (((op2 (e21) (e20)) = (op2 (e21) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H38].
% 54.60/54.84 cut (((op2 (e21) (e20)) = (e20))); [idtac | apply NNPP; zenon_intro zenon_H39].
% 54.60/54.84 congruence.
% 54.60/54.84 exact (zenon_H39 zenon_H34).
% 54.60/54.84 apply zenon_H38. apply refl_equal.
% 54.60/54.84 apply zenon_H38. apply refl_equal.
% 54.60/54.84 apply zenon_H35. apply refl_equal.
% 54.60/54.84 (* end of lemma zenon_L6_ *)
% 54.60/54.84 assert (zenon_L7_ : (~((op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21))) = (op2 (e23) (e20)))) -> ((e20) = (op2 (e21) (e21))) -> ((e23) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> False).
% 54.60/54.84 do 0 intro. intros zenon_H3a zenon_H33 zenon_H3b.
% 54.60/54.84 cut (((op2 (e21) (e21)) = (e20))); [idtac | apply NNPP; zenon_intro zenon_H3c].
% 54.60/54.84 cut (((op2 (op2 (e21) (e21)) (op2 (e21) (e21))) = (e23))); [idtac | apply NNPP; zenon_intro zenon_H3d].
% 54.60/54.84 congruence.
% 54.60/54.84 apply zenon_H3d. apply sym_equal. exact zenon_H3b.
% 54.60/54.84 apply zenon_H3c. apply sym_equal. exact zenon_H33.
% 54.60/54.84 (* end of lemma zenon_L7_ *)
% 54.60/54.84 assert (zenon_L8_ : (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> ((e22) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> ((op2 (e21) (e20)) = (e22)) -> ((e20) = (op2 (e21) (e21))) -> ((e23) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> False).
% 54.60/54.84 do 0 intro. intros zenon_H3e zenon_H3f zenon_H40 zenon_H33 zenon_H3b.
% 54.60/54.84 cut (((e22) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) = ((op2 (e21) (e20)) = (op2 (e23) (e20)))).
% 54.60/54.84 intro zenon_D_pnotp.
% 54.60/54.84 apply zenon_H3e.
% 54.60/54.84 rewrite <- zenon_D_pnotp.
% 54.60/54.84 exact zenon_H3f.
% 54.60/54.84 cut (((op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21))) = (op2 (e23) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H3a].
% 54.60/54.84 cut (((e22) = (op2 (e21) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H41].
% 54.60/54.84 congruence.
% 54.60/54.84 elim (classic ((op2 (e21) (e20)) = (op2 (e21) (e20)))); [ zenon_intro zenon_H37 | zenon_intro zenon_H38 ].
% 54.60/54.84 cut (((op2 (e21) (e20)) = (op2 (e21) (e20))) = ((e22) = (op2 (e21) (e20)))).
% 54.60/54.84 intro zenon_D_pnotp.
% 54.60/54.84 apply zenon_H41.
% 54.60/54.84 rewrite <- zenon_D_pnotp.
% 54.60/54.84 exact zenon_H37.
% 54.60/54.84 cut (((op2 (e21) (e20)) = (op2 (e21) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H38].
% 54.60/54.84 cut (((op2 (e21) (e20)) = (e22))); [idtac | apply NNPP; zenon_intro zenon_H42].
% 54.60/54.84 congruence.
% 54.60/54.84 exact (zenon_H42 zenon_H40).
% 54.60/54.84 apply zenon_H38. apply refl_equal.
% 54.60/54.84 apply zenon_H38. apply refl_equal.
% 54.60/54.84 apply (zenon_L7_); trivial.
% 54.60/54.84 (* end of lemma zenon_L8_ *)
% 54.60/54.84 assert (zenon_L9_ : (~((op2 (op2 (e21) (e21)) (op2 (e21) (e21))) = (op2 (e20) (e20)))) -> ((e20) = (op2 (e21) (e21))) -> False).
% 54.60/54.84 do 0 intro. intros zenon_H43 zenon_H33.
% 54.60/54.84 cut (((op2 (e21) (e21)) = (e20))); [idtac | apply NNPP; zenon_intro zenon_H3c].
% 54.60/54.84 cut (((op2 (e21) (e21)) = (e20))); [idtac | apply NNPP; zenon_intro zenon_H3c].
% 54.60/54.84 congruence.
% 54.60/54.84 apply zenon_H3c. apply sym_equal. exact zenon_H33.
% 54.60/54.84 apply zenon_H3c. apply sym_equal. exact zenon_H33.
% 54.60/54.84 (* end of lemma zenon_L9_ *)
% 54.60/54.84 assert (zenon_L10_ : ((e23) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((op2 (e21) (e20)) = (e23)) -> ((e20) = (op2 (e21) (e21))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> False).
% 54.60/54.84 do 0 intro. intros zenon_H3b zenon_H44 zenon_H33 zenon_H45.
% 54.60/54.84 elim (classic ((op2 (e21) (e20)) = (op2 (e21) (e20)))); [ zenon_intro zenon_H37 | zenon_intro zenon_H38 ].
% 54.60/54.84 cut (((op2 (e21) (e20)) = (op2 (e21) (e20))) = ((op2 (e20) (e20)) = (op2 (e21) (e20)))).
% 54.60/54.84 intro zenon_D_pnotp.
% 54.60/54.84 apply zenon_H45.
% 54.60/54.84 rewrite <- zenon_D_pnotp.
% 54.60/54.84 exact zenon_H37.
% 54.60/54.84 cut (((op2 (e21) (e20)) = (op2 (e21) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H38].
% 54.60/54.84 cut (((op2 (e21) (e20)) = (op2 (e20) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H46].
% 54.60/54.84 congruence.
% 54.60/54.84 cut (((e23) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) = ((op2 (e21) (e20)) = (op2 (e20) (e20)))).
% 54.60/54.84 intro zenon_D_pnotp.
% 54.60/54.84 apply zenon_H46.
% 54.60/54.84 rewrite <- zenon_D_pnotp.
% 54.60/54.84 exact zenon_H3b.
% 54.60/54.84 cut (((op2 (op2 (e21) (e21)) (op2 (e21) (e21))) = (op2 (e20) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H43].
% 54.60/54.84 cut (((e23) = (op2 (e21) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H47].
% 54.60/54.84 congruence.
% 54.60/54.84 elim (classic ((op2 (e21) (e20)) = (op2 (e21) (e20)))); [ zenon_intro zenon_H37 | zenon_intro zenon_H38 ].
% 54.60/54.84 cut (((op2 (e21) (e20)) = (op2 (e21) (e20))) = ((e23) = (op2 (e21) (e20)))).
% 54.60/54.84 intro zenon_D_pnotp.
% 54.60/54.84 apply zenon_H47.
% 54.60/54.84 rewrite <- zenon_D_pnotp.
% 54.60/54.84 exact zenon_H37.
% 54.60/54.84 cut (((op2 (e21) (e20)) = (op2 (e21) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H38].
% 54.60/54.84 cut (((op2 (e21) (e20)) = (e23))); [idtac | apply NNPP; zenon_intro zenon_H48].
% 54.60/54.84 congruence.
% 54.60/54.84 exact (zenon_H48 zenon_H44).
% 54.60/54.84 apply zenon_H38. apply refl_equal.
% 54.60/54.84 apply zenon_H38. apply refl_equal.
% 54.60/54.84 apply (zenon_L9_); trivial.
% 54.60/54.84 apply zenon_H38. apply refl_equal.
% 54.60/54.84 apply zenon_H38. apply refl_equal.
% 54.60/54.84 (* end of lemma zenon_L10_ *)
% 54.60/54.84 assert (zenon_L11_ : ((~((op2 (e21) (e20)) = (e21)))\/(~((op2 (e21) (e21)) = (e20)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> ((e20) = (op2 (e21) (e21))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> ((e22) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> ((e23) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (((op2 (e21) (e20)) = (e20))\/(((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e20)) = (e22))\/((op2 (e21) (e20)) = (e23))))) -> False).
% 54.60/54.84 do 0 intro. intros zenon_H49 zenon_H32 zenon_H33 zenon_H3e zenon_H3f zenon_H3b zenon_H45 zenon_H4a.
% 54.60/54.84 apply (zenon_or_s _ _ zenon_H49); [ zenon_intro zenon_H4b | zenon_intro zenon_H3c ].
% 54.60/54.84 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H34 | zenon_intro zenon_H4c ].
% 54.60/54.84 apply (zenon_L6_); trivial.
% 54.60/54.84 apply (zenon_or_s _ _ zenon_H4c); [ zenon_intro zenon_H4e | zenon_intro zenon_H4d ].
% 54.60/54.84 exact (zenon_H4b zenon_H4e).
% 54.60/54.84 apply (zenon_or_s _ _ zenon_H4d); [ zenon_intro zenon_H40 | zenon_intro zenon_H44 ].
% 54.60/54.84 apply (zenon_L8_); trivial.
% 54.60/54.84 apply (zenon_L10_); trivial.
% 54.60/54.84 apply zenon_H3c. apply sym_equal. exact zenon_H33.
% 54.60/54.84 (* end of lemma zenon_L11_ *)
% 54.60/54.84 assert (zenon_L12_ : (((op2 (e20) (e21)) = (e20))/\(((op2 (e21) (e20)) = (e20))/\(((~((op2 (e21) (e20)) = (e21)))\/(~((op2 (e21) (e21)) = (e20))))/\(((~((op2 (e21) (e21)) = (e21)))\/(~((op2 (e21) (e21)) = (e21))))/\(((~((op2 (e21) (e22)) = (e21)))\/(~((op2 (e21) (e21)) = (e22))))/\((~((op2 (e21) (e23)) = (e21)))\/(~((op2 (e21) (e21)) = (e23))))))))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> ((e20) = (op2 (e21) (e21))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> ((e22) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> ((e23) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (((op2 (e21) (e20)) = (e20))\/(((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e20)) = (e22))\/((op2 (e21) (e20)) = (e23))))) -> False).
% 54.60/54.84 do 0 intro. intros zenon_H4f zenon_H32 zenon_H33 zenon_H3e zenon_H3f zenon_H3b zenon_H45 zenon_H4a.
% 54.60/54.84 apply (zenon_and_s _ _ zenon_H4f). zenon_intro zenon_H51. zenon_intro zenon_H50.
% 54.60/54.84 apply (zenon_and_s _ _ zenon_H50). zenon_intro zenon_H34. zenon_intro zenon_H52.
% 54.60/54.84 apply (zenon_and_s _ _ zenon_H52). zenon_intro zenon_H49. zenon_intro zenon_H53.
% 54.60/54.84 apply (zenon_L11_); trivial.
% 54.60/54.84 (* end of lemma zenon_L12_ *)
% 54.60/54.84 assert (zenon_L13_ : (~((e20) = (e20))) -> False).
% 54.60/54.84 do 0 intro. intros zenon_H54.
% 54.60/54.84 apply zenon_H54. apply refl_equal.
% 54.60/54.84 (* end of lemma zenon_L13_ *)
% 54.60/54.84 assert (zenon_L14_ : (~((op2 (e20) (e20)) = (op2 (e23) (e20)))) -> ((op2 (e20) (op2 (e20) (e22))) = (e22)) -> ((op2 (e20) (e22)) = (e20)) -> ((op2 (e23) (e20)) = (e22)) -> False).
% 54.60/54.84 do 0 intro. intros zenon_H55 zenon_H56 zenon_H57 zenon_H58.
% 54.60/54.84 cut (((op2 (e20) (op2 (e20) (e22))) = (e22)) = ((op2 (e20) (e20)) = (op2 (e23) (e20)))).
% 54.60/54.84 intro zenon_D_pnotp.
% 54.60/54.84 apply zenon_H55.
% 54.60/54.84 rewrite <- zenon_D_pnotp.
% 54.60/54.84 exact zenon_H56.
% 54.60/54.84 cut (((e22) = (op2 (e23) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H59].
% 54.60/54.84 cut (((op2 (e20) (op2 (e20) (e22))) = (op2 (e20) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H5a].
% 54.60/54.84 congruence.
% 54.60/54.84 elim (classic ((op2 (e20) (e20)) = (op2 (e20) (e20)))); [ zenon_intro zenon_H5b | zenon_intro zenon_H5c ].
% 54.60/54.84 cut (((op2 (e20) (e20)) = (op2 (e20) (e20))) = ((op2 (e20) (op2 (e20) (e22))) = (op2 (e20) (e20)))).
% 54.60/54.84 intro zenon_D_pnotp.
% 54.60/54.84 apply zenon_H5a.
% 54.60/54.84 rewrite <- zenon_D_pnotp.
% 54.60/54.84 exact zenon_H5b.
% 54.60/54.84 cut (((op2 (e20) (e20)) = (op2 (e20) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H5c].
% 54.60/54.84 cut (((op2 (e20) (e20)) = (op2 (e20) (op2 (e20) (e22))))); [idtac | apply NNPP; zenon_intro zenon_H5d].
% 54.60/54.84 congruence.
% 54.60/54.84 cut (((e20) = (op2 (e20) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H5e].
% 54.60/54.84 cut (((e20) = (e20))); [idtac | apply NNPP; zenon_intro zenon_H54].
% 54.60/54.84 congruence.
% 54.60/54.84 apply zenon_H54. apply refl_equal.
% 54.60/54.84 apply zenon_H5e. apply sym_equal. exact zenon_H57.
% 54.60/54.84 apply zenon_H5c. apply refl_equal.
% 54.60/54.84 apply zenon_H5c. apply refl_equal.
% 54.60/54.84 apply zenon_H59. apply sym_equal. exact zenon_H58.
% 54.60/54.84 (* end of lemma zenon_L14_ *)
% 54.60/54.84 assert (zenon_L15_ : ((e22) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> ((op2 (e23) (e21)) = (e22)) -> ((e20) = (op2 (e21) (e21))) -> ((e23) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> False).
% 54.60/54.84 do 0 intro. intros zenon_H3f zenon_H5f zenon_H33 zenon_H3b zenon_H60.
% 54.60/54.84 elim (classic ((op2 (e23) (e21)) = (op2 (e23) (e21)))); [ zenon_intro zenon_H61 | zenon_intro zenon_H62 ].
% 54.60/54.84 cut (((op2 (e23) (e21)) = (op2 (e23) (e21))) = ((op2 (e23) (e20)) = (op2 (e23) (e21)))).
% 54.60/54.84 intro zenon_D_pnotp.
% 54.60/54.84 apply zenon_H60.
% 54.60/54.84 rewrite <- zenon_D_pnotp.
% 54.60/54.84 exact zenon_H61.
% 54.60/54.84 cut (((op2 (e23) (e21)) = (op2 (e23) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H62].
% 54.60/54.84 cut (((op2 (e23) (e21)) = (op2 (e23) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H63].
% 54.60/54.84 congruence.
% 54.60/54.84 cut (((e22) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) = ((op2 (e23) (e21)) = (op2 (e23) (e20)))).
% 54.60/54.84 intro zenon_D_pnotp.
% 54.60/54.84 apply zenon_H63.
% 54.60/54.84 rewrite <- zenon_D_pnotp.
% 54.60/54.84 exact zenon_H3f.
% 54.60/54.84 cut (((op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21))) = (op2 (e23) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H3a].
% 54.60/54.84 cut (((e22) = (op2 (e23) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H64].
% 54.60/54.84 congruence.
% 54.60/54.84 elim (classic ((op2 (e23) (e21)) = (op2 (e23) (e21)))); [ zenon_intro zenon_H61 | zenon_intro zenon_H62 ].
% 54.60/54.84 cut (((op2 (e23) (e21)) = (op2 (e23) (e21))) = ((e22) = (op2 (e23) (e21)))).
% 54.60/54.84 intro zenon_D_pnotp.
% 54.60/54.84 apply zenon_H64.
% 54.60/54.84 rewrite <- zenon_D_pnotp.
% 54.60/54.84 exact zenon_H61.
% 54.60/54.84 cut (((op2 (e23) (e21)) = (op2 (e23) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H62].
% 54.60/54.84 cut (((op2 (e23) (e21)) = (e22))); [idtac | apply NNPP; zenon_intro zenon_H65].
% 54.60/54.84 congruence.
% 54.60/54.84 exact (zenon_H65 zenon_H5f).
% 54.60/54.84 apply zenon_H62. apply refl_equal.
% 54.60/54.84 apply zenon_H62. apply refl_equal.
% 54.60/54.84 apply (zenon_L7_); trivial.
% 54.60/54.84 apply zenon_H62. apply refl_equal.
% 54.60/54.84 apply zenon_H62. apply refl_equal.
% 54.60/54.84 (* end of lemma zenon_L15_ *)
% 54.60/54.84 assert (zenon_L16_ : ((e22) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> ((op2 (e23) (e22)) = (e22)) -> ((e20) = (op2 (e21) (e21))) -> ((e23) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> False).
% 54.60/54.84 do 0 intro. intros zenon_H3f zenon_H66 zenon_H33 zenon_H3b zenon_H67.
% 54.60/54.84 elim (classic ((op2 (e23) (e22)) = (op2 (e23) (e22)))); [ zenon_intro zenon_H68 | zenon_intro zenon_H69 ].
% 54.60/54.84 cut (((op2 (e23) (e22)) = (op2 (e23) (e22))) = ((op2 (e23) (e20)) = (op2 (e23) (e22)))).
% 54.60/54.84 intro zenon_D_pnotp.
% 54.60/54.84 apply zenon_H67.
% 54.60/54.84 rewrite <- zenon_D_pnotp.
% 54.60/54.84 exact zenon_H68.
% 54.60/54.84 cut (((op2 (e23) (e22)) = (op2 (e23) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H69].
% 54.60/54.84 cut (((op2 (e23) (e22)) = (op2 (e23) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H6a].
% 54.60/54.84 congruence.
% 54.60/54.84 cut (((e22) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) = ((op2 (e23) (e22)) = (op2 (e23) (e20)))).
% 54.60/54.84 intro zenon_D_pnotp.
% 54.60/54.84 apply zenon_H6a.
% 54.60/54.84 rewrite <- zenon_D_pnotp.
% 54.60/54.84 exact zenon_H3f.
% 54.60/54.84 cut (((op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21))) = (op2 (e23) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H3a].
% 54.60/54.84 cut (((e22) = (op2 (e23) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H6b].
% 54.60/54.84 congruence.
% 54.60/54.84 elim (classic ((op2 (e23) (e22)) = (op2 (e23) (e22)))); [ zenon_intro zenon_H68 | zenon_intro zenon_H69 ].
% 54.60/54.84 cut (((op2 (e23) (e22)) = (op2 (e23) (e22))) = ((e22) = (op2 (e23) (e22)))).
% 54.60/54.84 intro zenon_D_pnotp.
% 54.60/54.84 apply zenon_H6b.
% 54.60/54.84 rewrite <- zenon_D_pnotp.
% 54.60/54.84 exact zenon_H68.
% 54.60/54.84 cut (((op2 (e23) (e22)) = (op2 (e23) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H69].
% 54.60/54.84 cut (((op2 (e23) (e22)) = (e22))); [idtac | apply NNPP; zenon_intro zenon_H6c].
% 54.60/54.84 congruence.
% 54.60/54.84 exact (zenon_H6c zenon_H66).
% 54.60/54.84 apply zenon_H69. apply refl_equal.
% 54.60/54.84 apply zenon_H69. apply refl_equal.
% 54.60/54.84 apply (zenon_L7_); trivial.
% 54.60/54.84 apply zenon_H69. apply refl_equal.
% 54.60/54.84 apply zenon_H69. apply refl_equal.
% 54.60/54.84 (* end of lemma zenon_L16_ *)
% 54.60/54.84 assert (zenon_L17_ : ((e22) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> ((op2 (e23) (e23)) = (e22)) -> ((e20) = (op2 (e21) (e21))) -> ((e23) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> False).
% 54.60/54.84 do 0 intro. intros zenon_H3f zenon_H6d zenon_H33 zenon_H3b zenon_H6e.
% 54.60/54.84 elim (classic ((op2 (e23) (e23)) = (op2 (e23) (e23)))); [ zenon_intro zenon_H6f | zenon_intro zenon_H70 ].
% 54.60/54.84 cut (((op2 (e23) (e23)) = (op2 (e23) (e23))) = ((op2 (e23) (e20)) = (op2 (e23) (e23)))).
% 54.60/54.84 intro zenon_D_pnotp.
% 54.60/54.84 apply zenon_H6e.
% 54.60/54.84 rewrite <- zenon_D_pnotp.
% 54.60/54.84 exact zenon_H6f.
% 54.60/54.84 cut (((op2 (e23) (e23)) = (op2 (e23) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H70].
% 54.60/54.84 cut (((op2 (e23) (e23)) = (op2 (e23) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H71].
% 54.60/54.84 congruence.
% 54.60/54.84 cut (((e22) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) = ((op2 (e23) (e23)) = (op2 (e23) (e20)))).
% 54.60/54.84 intro zenon_D_pnotp.
% 54.60/54.84 apply zenon_H71.
% 54.60/54.84 rewrite <- zenon_D_pnotp.
% 54.60/54.84 exact zenon_H3f.
% 54.60/54.84 cut (((op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21))) = (op2 (e23) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H3a].
% 54.60/54.84 cut (((e22) = (op2 (e23) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H72].
% 54.60/54.84 congruence.
% 54.60/54.84 elim (classic ((op2 (e23) (e23)) = (op2 (e23) (e23)))); [ zenon_intro zenon_H6f | zenon_intro zenon_H70 ].
% 54.60/54.84 cut (((op2 (e23) (e23)) = (op2 (e23) (e23))) = ((e22) = (op2 (e23) (e23)))).
% 54.60/54.84 intro zenon_D_pnotp.
% 54.60/54.84 apply zenon_H72.
% 54.60/54.84 rewrite <- zenon_D_pnotp.
% 54.60/54.84 exact zenon_H6f.
% 54.60/54.84 cut (((op2 (e23) (e23)) = (op2 (e23) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H70].
% 54.60/54.84 cut (((op2 (e23) (e23)) = (e22))); [idtac | apply NNPP; zenon_intro zenon_H73].
% 54.60/54.84 congruence.
% 54.60/54.84 exact (zenon_H73 zenon_H6d).
% 54.60/54.84 apply zenon_H70. apply refl_equal.
% 54.60/54.84 apply zenon_H70. apply refl_equal.
% 54.60/54.84 apply (zenon_L7_); trivial.
% 54.60/54.84 apply zenon_H70. apply refl_equal.
% 54.60/54.84 apply zenon_H70. apply refl_equal.
% 54.60/54.84 (* end of lemma zenon_L17_ *)
% 54.60/54.84 assert (zenon_L18_ : (((op2 (e23) (e20)) = (e22))\/(((op2 (e23) (e21)) = (e22))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> ((op2 (e20) (e22)) = (e20)) -> ((op2 (e20) (op2 (e20) (e22))) = (e22)) -> (~((op2 (e20) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> ((e22) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> ((e20) = (op2 (e21) (e21))) -> ((e23) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> False).
% 54.60/54.84 do 0 intro. intros zenon_H74 zenon_H57 zenon_H56 zenon_H55 zenon_H60 zenon_H67 zenon_H3f zenon_H33 zenon_H3b zenon_H6e.
% 54.60/54.84 apply (zenon_or_s _ _ zenon_H74); [ zenon_intro zenon_H58 | zenon_intro zenon_H75 ].
% 54.60/54.84 apply (zenon_L14_); trivial.
% 54.60/54.84 apply (zenon_or_s _ _ zenon_H75); [ zenon_intro zenon_H5f | zenon_intro zenon_H76 ].
% 54.60/54.84 apply (zenon_L15_); trivial.
% 54.60/54.84 apply (zenon_or_s _ _ zenon_H76); [ zenon_intro zenon_H66 | zenon_intro zenon_H6d ].
% 54.60/54.84 apply (zenon_L16_); trivial.
% 54.60/54.84 apply (zenon_L17_); trivial.
% 54.60/54.84 (* end of lemma zenon_L18_ *)
% 54.60/54.84 assert (zenon_L19_ : (((op2 (e20) (e22)) = (e20))/\(((op2 (e22) (e20)) = (e20))/\(((~((op2 (e22) (e20)) = (e22)))\/(~((op2 (e22) (e22)) = (e20))))/\(((~((op2 (e22) (e21)) = (e22)))\/(~((op2 (e22) (e22)) = (e21))))/\(((~((op2 (e22) (e22)) = (e22)))\/(~((op2 (e22) (e22)) = (e22))))/\((~((op2 (e22) (e23)) = (e22)))\/(~((op2 (e22) (e22)) = (e23))))))))) -> (((op2 (e23) (e20)) = (e22))\/(((op2 (e23) (e21)) = (e22))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> ((op2 (e20) (op2 (e20) (e22))) = (e22)) -> (~((op2 (e20) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> ((e22) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> ((e20) = (op2 (e21) (e21))) -> ((e23) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> False).
% 54.60/54.84 do 0 intro. intros zenon_H77 zenon_H74 zenon_H56 zenon_H55 zenon_H60 zenon_H67 zenon_H3f zenon_H33 zenon_H3b zenon_H6e.
% 54.60/54.84 apply (zenon_and_s _ _ zenon_H77). zenon_intro zenon_H57. zenon_intro zenon_H78.
% 54.60/54.84 apply (zenon_L18_); trivial.
% 54.60/54.84 (* end of lemma zenon_L19_ *)
% 54.60/54.84 assert (zenon_L20_ : ((e20) = (op2 (e21) (e21))) -> ((op2 (e21) (e22)) = (e20)) -> (~((op2 (e21) (e21)) = (op2 (e21) (e22)))) -> False).
% 54.60/54.84 do 0 intro. intros zenon_H33 zenon_H79 zenon_H7a.
% 54.60/54.84 elim (classic ((op2 (e21) (e22)) = (op2 (e21) (e22)))); [ zenon_intro zenon_H7b | zenon_intro zenon_H7c ].
% 54.60/54.84 cut (((op2 (e21) (e22)) = (op2 (e21) (e22))) = ((op2 (e21) (e21)) = (op2 (e21) (e22)))).
% 54.60/54.84 intro zenon_D_pnotp.
% 54.60/54.84 apply zenon_H7a.
% 54.60/54.84 rewrite <- zenon_D_pnotp.
% 54.60/54.84 exact zenon_H7b.
% 54.60/54.84 cut (((op2 (e21) (e22)) = (op2 (e21) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H7c].
% 54.60/54.84 cut (((op2 (e21) (e22)) = (op2 (e21) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H7d].
% 54.60/54.84 congruence.
% 54.60/54.84 cut (((e20) = (op2 (e21) (e21))) = ((op2 (e21) (e22)) = (op2 (e21) (e21)))).
% 54.60/54.84 intro zenon_D_pnotp.
% 54.60/54.84 apply zenon_H7d.
% 54.60/54.84 rewrite <- zenon_D_pnotp.
% 54.60/54.84 exact zenon_H33.
% 54.60/54.84 cut (((op2 (e21) (e21)) = (op2 (e21) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H35].
% 54.60/54.84 cut (((e20) = (op2 (e21) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H7e].
% 54.60/54.84 congruence.
% 54.60/54.84 elim (classic ((op2 (e21) (e22)) = (op2 (e21) (e22)))); [ zenon_intro zenon_H7b | zenon_intro zenon_H7c ].
% 54.60/54.84 cut (((op2 (e21) (e22)) = (op2 (e21) (e22))) = ((e20) = (op2 (e21) (e22)))).
% 54.60/54.84 intro zenon_D_pnotp.
% 54.60/54.84 apply zenon_H7e.
% 54.60/54.84 rewrite <- zenon_D_pnotp.
% 54.60/54.84 exact zenon_H7b.
% 54.60/54.84 cut (((op2 (e21) (e22)) = (op2 (e21) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H7c].
% 54.60/54.84 cut (((op2 (e21) (e22)) = (e20))); [idtac | apply NNPP; zenon_intro zenon_H7f].
% 54.60/54.84 congruence.
% 54.60/54.84 exact (zenon_H7f zenon_H79).
% 54.60/54.84 apply zenon_H7c. apply refl_equal.
% 54.60/54.84 apply zenon_H7c. apply refl_equal.
% 54.60/54.84 apply zenon_H35. apply refl_equal.
% 54.60/54.84 apply zenon_H7c. apply refl_equal.
% 54.60/54.84 apply zenon_H7c. apply refl_equal.
% 54.60/54.84 (* end of lemma zenon_L20_ *)
% 54.60/54.84 assert (zenon_L21_ : (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> ((op2 (e23) (e20)) = (e20)) -> ((op2 (e23) (e22)) = (e20)) -> False).
% 54.60/54.84 do 0 intro. intros zenon_H67 zenon_H80 zenon_H81.
% 54.60/54.84 cut (((op2 (e23) (e20)) = (e20)) = ((op2 (e23) (e20)) = (op2 (e23) (e22)))).
% 54.60/54.84 intro zenon_D_pnotp.
% 54.60/54.84 apply zenon_H67.
% 54.60/54.84 rewrite <- zenon_D_pnotp.
% 54.60/54.84 exact zenon_H80.
% 54.60/54.84 cut (((e20) = (op2 (e23) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H82].
% 54.60/54.84 cut (((op2 (e23) (e20)) = (op2 (e23) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H83].
% 54.60/54.84 congruence.
% 54.60/54.84 apply zenon_H83. apply refl_equal.
% 54.60/54.84 apply zenon_H82. apply sym_equal. exact zenon_H81.
% 54.60/54.84 (* end of lemma zenon_L21_ *)
% 54.60/54.84 assert (zenon_L22_ : (((op2 (e20) (e22)) = (e20))\/(((op2 (e21) (e22)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e23) (e22)) = (e20))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> ((e23) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((e22) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((op2 (e20) (e20)) = (op2 (e23) (e20)))) -> ((op2 (e20) (op2 (e20) (e22))) = (e22)) -> (((op2 (e23) (e20)) = (e22))\/(((op2 (e23) (e21)) = (e22))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e21) (e21)) = (op2 (e21) (e22)))) -> ((e20) = (op2 (e21) (e21))) -> (~((op2 (e22) (e22)) = (e20))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> ((op2 (e23) (e20)) = (e20)) -> False).
% 54.60/54.84 do 0 intro. intros zenon_H84 zenon_H6e zenon_H3b zenon_H3f zenon_H60 zenon_H55 zenon_H56 zenon_H74 zenon_H7a zenon_H33 zenon_H85 zenon_H67 zenon_H80.
% 54.60/54.84 apply (zenon_or_s _ _ zenon_H84); [ zenon_intro zenon_H57 | zenon_intro zenon_H86 ].
% 54.60/54.84 apply (zenon_L18_); trivial.
% 54.60/54.84 apply (zenon_or_s _ _ zenon_H86); [ zenon_intro zenon_H79 | zenon_intro zenon_H87 ].
% 54.60/54.84 apply (zenon_L20_); trivial.
% 54.60/54.84 apply (zenon_or_s _ _ zenon_H87); [ zenon_intro zenon_H88 | zenon_intro zenon_H81 ].
% 54.60/54.84 exact (zenon_H85 zenon_H88).
% 54.60/54.84 apply (zenon_L21_); trivial.
% 54.60/54.84 (* end of lemma zenon_L22_ *)
% 54.60/54.84 assert (zenon_L23_ : (((op2 (e20) (e23)) = (e20))/\(((op2 (e23) (e20)) = (e20))/\(((~((op2 (e23) (e20)) = (e23)))\/(~((op2 (e23) (e23)) = (e20))))/\(((~((op2 (e23) (e21)) = (e23)))\/(~((op2 (e23) (e23)) = (e21))))/\(((~((op2 (e23) (e22)) = (e23)))\/(~((op2 (e23) (e23)) = (e22))))/\((~((op2 (e23) (e23)) = (e23)))\/(~((op2 (e23) (e23)) = (e23))))))))) -> (((op2 (e20) (e22)) = (e20))\/(((op2 (e21) (e22)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e23) (e22)) = (e20))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> ((e23) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((e22) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((op2 (e20) (e20)) = (op2 (e23) (e20)))) -> ((op2 (e20) (op2 (e20) (e22))) = (e22)) -> (((op2 (e23) (e20)) = (e22))\/(((op2 (e23) (e21)) = (e22))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e21) (e21)) = (op2 (e21) (e22)))) -> ((e20) = (op2 (e21) (e21))) -> (~((op2 (e22) (e22)) = (e20))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> False).
% 54.60/54.84 do 0 intro. intros zenon_H89 zenon_H84 zenon_H6e zenon_H3b zenon_H3f zenon_H60 zenon_H55 zenon_H56 zenon_H74 zenon_H7a zenon_H33 zenon_H85 zenon_H67.
% 54.60/54.84 apply (zenon_and_s _ _ zenon_H89). zenon_intro zenon_H8b. zenon_intro zenon_H8a.
% 54.60/54.84 apply (zenon_and_s _ _ zenon_H8a). zenon_intro zenon_H80. zenon_intro zenon_H8c.
% 54.60/54.84 apply (zenon_L22_); trivial.
% 54.60/54.84 (* end of lemma zenon_L23_ *)
% 54.60/54.84 assert (zenon_L24_ : (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> ((e20) = (op2 (e21) (e21))) -> ((op2 (e20) (e21)) = (e20)) -> False).
% 54.60/54.84 do 0 intro. intros zenon_H8d zenon_H33 zenon_H51.
% 54.60/54.84 cut (((e20) = (op2 (e21) (e21))) = ((op2 (e20) (e21)) = (op2 (e21) (e21)))).
% 54.60/54.84 intro zenon_D_pnotp.
% 54.60/54.84 apply zenon_H8d.
% 54.60/54.84 rewrite <- zenon_D_pnotp.
% 54.60/54.84 exact zenon_H33.
% 54.60/54.84 cut (((op2 (e21) (e21)) = (op2 (e21) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H35].
% 54.60/54.84 cut (((e20) = (op2 (e20) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H8e].
% 54.60/54.84 congruence.
% 54.60/54.84 elim (classic ((op2 (e20) (e21)) = (op2 (e20) (e21)))); [ zenon_intro zenon_H8f | zenon_intro zenon_H90 ].
% 54.60/54.84 cut (((op2 (e20) (e21)) = (op2 (e20) (e21))) = ((e20) = (op2 (e20) (e21)))).
% 54.60/54.84 intro zenon_D_pnotp.
% 54.60/54.84 apply zenon_H8e.
% 54.60/54.84 rewrite <- zenon_D_pnotp.
% 54.60/54.84 exact zenon_H8f.
% 54.60/54.84 cut (((op2 (e20) (e21)) = (op2 (e20) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H90].
% 54.60/54.84 cut (((op2 (e20) (e21)) = (e20))); [idtac | apply NNPP; zenon_intro zenon_H91].
% 54.60/54.84 congruence.
% 54.60/54.84 exact (zenon_H91 zenon_H51).
% 54.60/54.84 apply zenon_H90. apply refl_equal.
% 54.60/54.84 apply zenon_H90. apply refl_equal.
% 54.60/54.84 apply zenon_H35. apply refl_equal.
% 54.60/54.84 (* end of lemma zenon_L24_ *)
% 54.60/54.84 assert (zenon_L25_ : ((e23) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((op2 (e20) (e21)) = (e23)) -> ((e20) = (op2 (e21) (e21))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> False).
% 54.60/54.84 do 0 intro. intros zenon_H3b zenon_H92 zenon_H33 zenon_H93.
% 54.60/54.84 elim (classic ((op2 (e20) (e21)) = (op2 (e20) (e21)))); [ zenon_intro zenon_H8f | zenon_intro zenon_H90 ].
% 54.60/54.84 cut (((op2 (e20) (e21)) = (op2 (e20) (e21))) = ((op2 (e20) (e20)) = (op2 (e20) (e21)))).
% 54.60/54.84 intro zenon_D_pnotp.
% 54.60/54.84 apply zenon_H93.
% 54.60/54.84 rewrite <- zenon_D_pnotp.
% 54.60/54.84 exact zenon_H8f.
% 54.60/54.84 cut (((op2 (e20) (e21)) = (op2 (e20) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H90].
% 54.60/54.84 cut (((op2 (e20) (e21)) = (op2 (e20) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H94].
% 54.60/54.84 congruence.
% 54.60/54.84 cut (((e23) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) = ((op2 (e20) (e21)) = (op2 (e20) (e20)))).
% 54.60/54.84 intro zenon_D_pnotp.
% 54.60/54.84 apply zenon_H94.
% 54.60/54.84 rewrite <- zenon_D_pnotp.
% 54.60/54.84 exact zenon_H3b.
% 54.60/54.84 cut (((op2 (op2 (e21) (e21)) (op2 (e21) (e21))) = (op2 (e20) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H43].
% 54.60/54.84 cut (((e23) = (op2 (e20) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H95].
% 54.60/54.84 congruence.
% 54.60/54.84 elim (classic ((op2 (e20) (e21)) = (op2 (e20) (e21)))); [ zenon_intro zenon_H8f | zenon_intro zenon_H90 ].
% 54.60/54.84 cut (((op2 (e20) (e21)) = (op2 (e20) (e21))) = ((e23) = (op2 (e20) (e21)))).
% 54.60/54.84 intro zenon_D_pnotp.
% 54.60/54.84 apply zenon_H95.
% 54.60/54.84 rewrite <- zenon_D_pnotp.
% 54.60/54.84 exact zenon_H8f.
% 54.60/54.84 cut (((op2 (e20) (e21)) = (op2 (e20) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H90].
% 54.60/54.84 cut (((op2 (e20) (e21)) = (e23))); [idtac | apply NNPP; zenon_intro zenon_H96].
% 54.60/54.84 congruence.
% 54.60/54.84 exact (zenon_H96 zenon_H92).
% 54.60/54.84 apply zenon_H90. apply refl_equal.
% 54.60/54.84 apply zenon_H90. apply refl_equal.
% 54.60/54.84 apply (zenon_L9_); trivial.
% 54.60/54.84 apply zenon_H90. apply refl_equal.
% 54.60/54.84 apply zenon_H90. apply refl_equal.
% 54.60/54.84 (* end of lemma zenon_L25_ *)
% 54.60/54.84 assert (zenon_L26_ : ((e23) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((op2 (e20) (e22)) = (e23)) -> ((e20) = (op2 (e21) (e21))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e22)))) -> False).
% 54.60/54.84 do 0 intro. intros zenon_H3b zenon_H97 zenon_H33 zenon_H98.
% 54.60/54.84 elim (classic ((op2 (e20) (e22)) = (op2 (e20) (e22)))); [ zenon_intro zenon_H99 | zenon_intro zenon_H9a ].
% 54.60/54.84 cut (((op2 (e20) (e22)) = (op2 (e20) (e22))) = ((op2 (e20) (e20)) = (op2 (e20) (e22)))).
% 54.60/54.84 intro zenon_D_pnotp.
% 54.60/54.84 apply zenon_H98.
% 54.60/54.84 rewrite <- zenon_D_pnotp.
% 54.60/54.84 exact zenon_H99.
% 54.60/54.84 cut (((op2 (e20) (e22)) = (op2 (e20) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H9a].
% 54.60/54.84 cut (((op2 (e20) (e22)) = (op2 (e20) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H9b].
% 54.60/54.84 congruence.
% 54.60/54.84 cut (((e23) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) = ((op2 (e20) (e22)) = (op2 (e20) (e20)))).
% 54.60/54.84 intro zenon_D_pnotp.
% 54.60/54.84 apply zenon_H9b.
% 54.60/54.84 rewrite <- zenon_D_pnotp.
% 54.60/54.84 exact zenon_H3b.
% 54.60/54.84 cut (((op2 (op2 (e21) (e21)) (op2 (e21) (e21))) = (op2 (e20) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H43].
% 54.60/54.84 cut (((e23) = (op2 (e20) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H9c].
% 54.60/54.84 congruence.
% 54.60/54.84 elim (classic ((op2 (e20) (e22)) = (op2 (e20) (e22)))); [ zenon_intro zenon_H99 | zenon_intro zenon_H9a ].
% 54.60/54.84 cut (((op2 (e20) (e22)) = (op2 (e20) (e22))) = ((e23) = (op2 (e20) (e22)))).
% 54.60/54.84 intro zenon_D_pnotp.
% 54.60/54.84 apply zenon_H9c.
% 54.60/54.84 rewrite <- zenon_D_pnotp.
% 54.60/54.84 exact zenon_H99.
% 54.60/54.84 cut (((op2 (e20) (e22)) = (op2 (e20) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H9a].
% 54.60/54.84 cut (((op2 (e20) (e22)) = (e23))); [idtac | apply NNPP; zenon_intro zenon_H9d].
% 54.60/54.84 congruence.
% 54.60/54.84 exact (zenon_H9d zenon_H97).
% 54.60/54.84 apply zenon_H9a. apply refl_equal.
% 54.60/54.84 apply zenon_H9a. apply refl_equal.
% 54.60/54.84 apply (zenon_L9_); trivial.
% 54.60/54.84 apply zenon_H9a. apply refl_equal.
% 54.60/54.84 apply zenon_H9a. apply refl_equal.
% 54.60/54.84 (* end of lemma zenon_L26_ *)
% 54.60/54.84 assert (zenon_L27_ : ((e23) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((op2 (e20) (e23)) = (e23)) -> ((e20) = (op2 (e21) (e21))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> False).
% 54.60/54.84 do 0 intro. intros zenon_H3b zenon_H9e zenon_H33 zenon_H9f.
% 54.60/54.84 elim (classic ((op2 (e20) (e23)) = (op2 (e20) (e23)))); [ zenon_intro zenon_Ha0 | zenon_intro zenon_Ha1 ].
% 54.60/54.84 cut (((op2 (e20) (e23)) = (op2 (e20) (e23))) = ((op2 (e20) (e20)) = (op2 (e20) (e23)))).
% 54.60/54.84 intro zenon_D_pnotp.
% 54.60/54.84 apply zenon_H9f.
% 54.60/54.84 rewrite <- zenon_D_pnotp.
% 54.60/54.84 exact zenon_Ha0.
% 54.60/54.84 cut (((op2 (e20) (e23)) = (op2 (e20) (e23)))); [idtac | apply NNPP; zenon_intro zenon_Ha1].
% 54.60/54.84 cut (((op2 (e20) (e23)) = (op2 (e20) (e20)))); [idtac | apply NNPP; zenon_intro zenon_Ha2].
% 54.60/54.84 congruence.
% 54.60/54.84 cut (((e23) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) = ((op2 (e20) (e23)) = (op2 (e20) (e20)))).
% 54.60/54.84 intro zenon_D_pnotp.
% 54.60/54.84 apply zenon_Ha2.
% 54.60/54.84 rewrite <- zenon_D_pnotp.
% 54.60/54.84 exact zenon_H3b.
% 54.60/54.84 cut (((op2 (op2 (e21) (e21)) (op2 (e21) (e21))) = (op2 (e20) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H43].
% 54.60/54.84 cut (((e23) = (op2 (e20) (e23)))); [idtac | apply NNPP; zenon_intro zenon_Ha3].
% 54.60/54.84 congruence.
% 54.60/54.84 elim (classic ((op2 (e20) (e23)) = (op2 (e20) (e23)))); [ zenon_intro zenon_Ha0 | zenon_intro zenon_Ha1 ].
% 54.60/54.84 cut (((op2 (e20) (e23)) = (op2 (e20) (e23))) = ((e23) = (op2 (e20) (e23)))).
% 54.60/54.84 intro zenon_D_pnotp.
% 54.60/54.84 apply zenon_Ha3.
% 54.60/54.84 rewrite <- zenon_D_pnotp.
% 54.60/54.84 exact zenon_Ha0.
% 54.60/54.84 cut (((op2 (e20) (e23)) = (op2 (e20) (e23)))); [idtac | apply NNPP; zenon_intro zenon_Ha1].
% 54.60/54.84 cut (((op2 (e20) (e23)) = (e23))); [idtac | apply NNPP; zenon_intro zenon_Ha4].
% 54.60/54.84 congruence.
% 54.60/54.84 exact (zenon_Ha4 zenon_H9e).
% 54.60/54.84 apply zenon_Ha1. apply refl_equal.
% 54.60/54.84 apply zenon_Ha1. apply refl_equal.
% 54.60/54.84 apply (zenon_L9_); trivial.
% 54.60/54.84 apply zenon_Ha1. apply refl_equal.
% 54.60/54.84 apply zenon_Ha1. apply refl_equal.
% 54.60/54.84 (* end of lemma zenon_L27_ *)
% 54.60/54.84 assert (zenon_L28_ : (((op2 (e20) (e20)) = (e23))\/(((op2 (e20) (e21)) = (e23))\/(((op2 (e20) (e22)) = (e23))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e20)) = (e23))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e22)))) -> ((e23) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((e20) = (op2 (e21) (e21))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> False).
% 54.60/54.84 do 0 intro. intros zenon_Ha5 zenon_Ha6 zenon_H93 zenon_H98 zenon_H3b zenon_H33 zenon_H9f.
% 54.60/54.84 apply (zenon_or_s _ _ zenon_Ha5); [ zenon_intro zenon_Ha8 | zenon_intro zenon_Ha7 ].
% 54.60/54.84 exact (zenon_Ha6 zenon_Ha8).
% 54.60/54.84 apply (zenon_or_s _ _ zenon_Ha7); [ zenon_intro zenon_H92 | zenon_intro zenon_Ha9 ].
% 54.60/54.84 apply (zenon_L25_); trivial.
% 54.60/54.84 apply (zenon_or_s _ _ zenon_Ha9); [ zenon_intro zenon_H97 | zenon_intro zenon_H9e ].
% 54.60/54.84 apply (zenon_L26_); trivial.
% 54.60/54.84 apply (zenon_L27_); trivial.
% 54.60/54.84 (* end of lemma zenon_L28_ *)
% 54.60/54.84 assert (zenon_L29_ : ((~((op2 (e20) (e23)) = (e20)))\/(~((op2 (e20) (e20)) = (e23)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> ((e23) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e22)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e20) (e21)) = (e23))\/(((op2 (e20) (e22)) = (e23))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e20)) = (e20))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> ((e20) = (op2 (e21) (e21))) -> (~((op2 (e20) (e22)) = (e20))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e20) (e21)) = (e20))\/(((op2 (e20) (e22)) = (e20))\/((op2 (e20) (e23)) = (e20))))) -> False).
% 54.60/54.84 do 0 intro. intros zenon_Haa zenon_H93 zenon_H3b zenon_H98 zenon_H9f zenon_Ha5 zenon_H31 zenon_H8d zenon_H33 zenon_Hab zenon_Hac.
% 54.60/54.84 apply (zenon_or_s _ _ zenon_Haa); [ zenon_intro zenon_Had | zenon_intro zenon_Ha6 ].
% 54.60/54.84 apply (zenon_or_s _ _ zenon_Hac); [ zenon_intro zenon_H2d | zenon_intro zenon_Hae ].
% 54.60/54.84 exact (zenon_H31 zenon_H2d).
% 54.60/54.84 apply (zenon_or_s _ _ zenon_Hae); [ zenon_intro zenon_H51 | zenon_intro zenon_Haf ].
% 54.60/54.84 apply (zenon_L24_); trivial.
% 54.60/54.84 apply (zenon_or_s _ _ zenon_Haf); [ zenon_intro zenon_H57 | zenon_intro zenon_H8b ].
% 54.60/54.84 exact (zenon_Hab zenon_H57).
% 54.60/54.84 exact (zenon_Had zenon_H8b).
% 54.60/54.84 apply (zenon_L28_); trivial.
% 54.60/54.84 (* end of lemma zenon_L29_ *)
% 54.60/54.84 assert (zenon_L30_ : (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> ((e22) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> ((op2 (e22) (e20)) = (e22)) -> ((e20) = (op2 (e21) (e21))) -> ((e23) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> False).
% 54.60/54.84 do 0 intro. intros zenon_Hb0 zenon_H3f zenon_Hb1 zenon_H33 zenon_H3b.
% 54.60/54.84 cut (((e22) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) = ((op2 (e22) (e20)) = (op2 (e23) (e20)))).
% 54.60/54.84 intro zenon_D_pnotp.
% 54.60/54.84 apply zenon_Hb0.
% 54.60/54.84 rewrite <- zenon_D_pnotp.
% 54.60/54.84 exact zenon_H3f.
% 54.60/54.84 cut (((op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21))) = (op2 (e23) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H3a].
% 54.60/54.84 cut (((e22) = (op2 (e22) (e20)))); [idtac | apply NNPP; zenon_intro zenon_Hb2].
% 54.60/54.84 congruence.
% 54.60/54.84 elim (classic ((op2 (e22) (e20)) = (op2 (e22) (e20)))); [ zenon_intro zenon_Hb3 | zenon_intro zenon_Hb4 ].
% 54.60/54.84 cut (((op2 (e22) (e20)) = (op2 (e22) (e20))) = ((e22) = (op2 (e22) (e20)))).
% 54.60/54.84 intro zenon_D_pnotp.
% 54.60/54.84 apply zenon_Hb2.
% 54.60/54.84 rewrite <- zenon_D_pnotp.
% 54.60/54.84 exact zenon_Hb3.
% 54.60/54.84 cut (((op2 (e22) (e20)) = (op2 (e22) (e20)))); [idtac | apply NNPP; zenon_intro zenon_Hb4].
% 54.60/54.84 cut (((op2 (e22) (e20)) = (e22))); [idtac | apply NNPP; zenon_intro zenon_Hb5].
% 54.60/54.84 congruence.
% 54.60/54.84 exact (zenon_Hb5 zenon_Hb1).
% 54.60/54.84 apply zenon_Hb4. apply refl_equal.
% 54.60/54.84 apply zenon_Hb4. apply refl_equal.
% 54.60/54.84 apply (zenon_L7_); trivial.
% 54.60/54.84 (* end of lemma zenon_L30_ *)
% 54.60/54.84 assert (zenon_L31_ : (((op2 (e21) (e20)) = (e21))/\(((op2 (e20) (e21)) = (e21))/\(((~((op2 (e20) (e20)) = (e20)))\/(~((op2 (e20) (e20)) = (e20))))/\(((~((op2 (e20) (e21)) = (e20)))\/(~((op2 (e20) (e20)) = (e21))))/\(((~((op2 (e20) (e22)) = (e20)))\/(~((op2 (e20) (e20)) = (e22))))/\((~((op2 (e20) (e23)) = (e20)))\/(~((op2 (e20) (e20)) = (e23))))))))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> ((e22) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e20) (e20)) = (op2 (e23) (e20)))) -> ((op2 (e20) (op2 (e20) (e22))) = (e22)) -> (((op2 (e20) (e20)) = (e22))\/(((op2 (e21) (e20)) = (e22))\/(((op2 (e22) (e20)) = (e22))\/((op2 (e23) (e20)) = (e22))))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e20) (e21)) = (e20))\/(((op2 (e20) (e22)) = (e20))\/((op2 (e20) (e23)) = (e20))))) -> ((e20) = (op2 (e21) (e21))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> (~((op2 (e20) (e20)) = (e20))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e20) (e21)) = (e23))\/(((op2 (e20) (e22)) = (e23))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e22)))) -> ((e23) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> False).
% 54.60/54.84 do 0 intro. intros zenon_Hb6 zenon_H3e zenon_H3f zenon_Hb0 zenon_H55 zenon_H56 zenon_Hb7 zenon_Hac zenon_H33 zenon_H8d zenon_H31 zenon_Ha5 zenon_H9f zenon_H98 zenon_H3b zenon_H93.
% 54.60/54.84 apply (zenon_and_s _ _ zenon_Hb6). zenon_intro zenon_H4e. zenon_intro zenon_Hb8.
% 54.60/54.84 apply (zenon_and_s _ _ zenon_Hb8). zenon_intro zenon_Hb9. zenon_intro zenon_H2e.
% 54.60/54.84 apply (zenon_and_s _ _ zenon_H2e). zenon_intro zenon_H30. zenon_intro zenon_H2f.
% 54.60/54.84 apply (zenon_and_s _ _ zenon_H2f). zenon_intro zenon_Hbb. zenon_intro zenon_Hba.
% 54.60/54.84 apply (zenon_and_s _ _ zenon_Hba). zenon_intro zenon_Hbc. zenon_intro zenon_Haa.
% 54.60/54.84 apply (zenon_or_s _ _ zenon_Hbc); [ zenon_intro zenon_Hab | zenon_intro zenon_Hbd ].
% 54.60/54.84 apply (zenon_L29_); trivial.
% 54.60/54.84 apply (zenon_or_s _ _ zenon_Haa); [ zenon_intro zenon_Had | zenon_intro zenon_Ha6 ].
% 54.60/54.84 apply (zenon_or_s _ _ zenon_Hac); [ zenon_intro zenon_H2d | zenon_intro zenon_Hae ].
% 54.60/54.84 exact (zenon_H31 zenon_H2d).
% 54.60/54.84 apply (zenon_or_s _ _ zenon_Hae); [ zenon_intro zenon_H51 | zenon_intro zenon_Haf ].
% 54.60/54.84 apply (zenon_L24_); trivial.
% 54.60/54.84 apply (zenon_or_s _ _ zenon_Haf); [ zenon_intro zenon_H57 | zenon_intro zenon_H8b ].
% 54.60/54.84 apply (zenon_or_s _ _ zenon_Hb7); [ zenon_intro zenon_Hbf | zenon_intro zenon_Hbe ].
% 54.60/54.84 exact (zenon_Hbd zenon_Hbf).
% 54.60/54.84 apply (zenon_or_s _ _ zenon_Hbe); [ zenon_intro zenon_H40 | zenon_intro zenon_Hc0 ].
% 54.60/54.84 apply (zenon_L8_); trivial.
% 54.60/54.84 apply (zenon_or_s _ _ zenon_Hc0); [ zenon_intro zenon_Hb1 | zenon_intro zenon_H58 ].
% 54.60/54.84 apply (zenon_L30_); trivial.
% 54.60/54.84 apply (zenon_L14_); trivial.
% 54.60/54.84 exact (zenon_Had zenon_H8b).
% 54.60/54.84 apply (zenon_L28_); trivial.
% 54.60/54.84 (* end of lemma zenon_L31_ *)
% 54.60/54.84 assert (zenon_L32_ : (((op2 (e21) (e21)) = (e21))/\(((op2 (e21) (e21)) = (e21))/\(((~((op2 (e21) (e20)) = (e21)))\/(~((op2 (e21) (e21)) = (e20))))/\(((~((op2 (e21) (e21)) = (e21)))\/(~((op2 (e21) (e21)) = (e21))))/\(((~((op2 (e21) (e22)) = (e21)))\/(~((op2 (e21) (e21)) = (e22))))/\((~((op2 (e21) (e23)) = (e21)))\/(~((op2 (e21) (e21)) = (e23))))))))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> ((e20) = (op2 (e21) (e21))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> ((e22) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> ((e23) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (((op2 (e21) (e20)) = (e20))\/(((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e20)) = (e22))\/((op2 (e21) (e20)) = (e23))))) -> False).
% 54.60/54.84 do 0 intro. intros zenon_Hc1 zenon_H32 zenon_H33 zenon_H3e zenon_H3f zenon_H3b zenon_H45 zenon_H4a.
% 54.60/54.84 apply (zenon_and_s _ _ zenon_Hc1). zenon_intro zenon_Hc3. zenon_intro zenon_Hc2.
% 54.60/54.84 apply (zenon_and_s _ _ zenon_Hc2). zenon_intro zenon_Hc3. zenon_intro zenon_H52.
% 54.60/54.84 apply (zenon_and_s _ _ zenon_H52). zenon_intro zenon_H49. zenon_intro zenon_H53.
% 54.60/54.84 apply (zenon_L11_); trivial.
% 54.60/54.84 (* end of lemma zenon_L32_ *)
% 54.60/54.84 assert (zenon_L33_ : ((op2 (e21) (e22)) = (e21)) -> ((op2 (e21) (e20)) = (e21)) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> False).
% 54.60/54.84 do 0 intro. intros zenon_Hc4 zenon_H4e zenon_Hc5.
% 54.60/54.84 elim (classic ((op2 (e21) (e22)) = (op2 (e21) (e22)))); [ zenon_intro zenon_H7b | zenon_intro zenon_H7c ].
% 54.60/54.84 cut (((op2 (e21) (e22)) = (op2 (e21) (e22))) = ((op2 (e21) (e20)) = (op2 (e21) (e22)))).
% 54.60/54.84 intro zenon_D_pnotp.
% 54.60/54.84 apply zenon_Hc5.
% 54.60/54.84 rewrite <- zenon_D_pnotp.
% 54.60/54.84 exact zenon_H7b.
% 54.60/54.84 cut (((op2 (e21) (e22)) = (op2 (e21) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H7c].
% 54.60/54.84 cut (((op2 (e21) (e22)) = (op2 (e21) (e20)))); [idtac | apply NNPP; zenon_intro zenon_Hc6].
% 54.60/54.84 congruence.
% 54.60/54.84 cut (((op2 (e21) (e22)) = (e21)) = ((op2 (e21) (e22)) = (op2 (e21) (e20)))).
% 54.60/54.84 intro zenon_D_pnotp.
% 54.60/54.84 apply zenon_Hc6.
% 54.60/54.84 rewrite <- zenon_D_pnotp.
% 54.60/54.84 exact zenon_Hc4.
% 54.60/54.84 cut (((e21) = (op2 (e21) (e20)))); [idtac | apply NNPP; zenon_intro zenon_Hc7].
% 54.60/54.84 cut (((op2 (e21) (e22)) = (op2 (e21) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H7c].
% 54.60/54.84 congruence.
% 54.60/54.84 apply zenon_H7c. apply refl_equal.
% 54.60/54.84 apply zenon_Hc7. apply sym_equal. exact zenon_H4e.
% 54.60/54.84 apply zenon_H7c. apply refl_equal.
% 54.60/54.84 apply zenon_H7c. apply refl_equal.
% 54.60/54.84 (* end of lemma zenon_L33_ *)
% 54.60/54.84 assert (zenon_L34_ : (((op2 (e21) (e20)) = (e20))\/(((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e20)) = (e22))\/((op2 (e21) (e20)) = (e23))))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> ((op2 (e21) (e22)) = (e21)) -> ((e22) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> ((e23) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((e20) = (op2 (e21) (e21))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> False).
% 54.60/54.84 do 0 intro. intros zenon_H4a zenon_H32 zenon_Hc5 zenon_Hc4 zenon_H3f zenon_H3e zenon_H3b zenon_H33 zenon_H45.
% 54.60/54.84 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H34 | zenon_intro zenon_H4c ].
% 54.60/54.84 apply (zenon_L6_); trivial.
% 54.60/54.84 apply (zenon_or_s _ _ zenon_H4c); [ zenon_intro zenon_H4e | zenon_intro zenon_H4d ].
% 54.60/54.84 apply (zenon_L33_); trivial.
% 54.60/54.84 apply (zenon_or_s _ _ zenon_H4d); [ zenon_intro zenon_H40 | zenon_intro zenon_H44 ].
% 54.60/54.84 apply (zenon_L8_); trivial.
% 54.60/54.84 apply (zenon_L10_); trivial.
% 54.60/54.84 (* end of lemma zenon_L34_ *)
% 54.60/54.84 assert (zenon_L35_ : (((op2 (e21) (e22)) = (e21))/\(((op2 (e22) (e21)) = (e21))/\(((~((op2 (e22) (e20)) = (e22)))\/(~((op2 (e22) (e22)) = (e20))))/\(((~((op2 (e22) (e21)) = (e22)))\/(~((op2 (e22) (e22)) = (e21))))/\(((~((op2 (e22) (e22)) = (e22)))\/(~((op2 (e22) (e22)) = (e22))))/\((~((op2 (e22) (e23)) = (e22)))\/(~((op2 (e22) (e22)) = (e23))))))))) -> (((op2 (e21) (e20)) = (e20))\/(((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e20)) = (e22))\/((op2 (e21) (e20)) = (e23))))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> ((e22) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> ((e23) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((e20) = (op2 (e21) (e21))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> False).
% 54.60/54.84 do 0 intro. intros zenon_Hc8 zenon_H4a zenon_H32 zenon_Hc5 zenon_H3f zenon_H3e zenon_H3b zenon_H33 zenon_H45.
% 54.60/54.84 apply (zenon_and_s _ _ zenon_Hc8). zenon_intro zenon_Hc4. zenon_intro zenon_Hc9.
% 54.60/54.84 apply (zenon_L34_); trivial.
% 54.60/54.84 (* end of lemma zenon_L35_ *)
% 54.60/54.84 assert (zenon_L36_ : (~((op2 (e21) (e20)) = (op2 (e21) (e23)))) -> ((op2 (e21) (e20)) = (e21)) -> ((op2 (e21) (e23)) = (e21)) -> False).
% 54.60/54.84 do 0 intro. intros zenon_Hca zenon_H4e zenon_Hcb.
% 54.60/54.84 cut (((op2 (e21) (e20)) = (e21)) = ((op2 (e21) (e20)) = (op2 (e21) (e23)))).
% 54.60/54.84 intro zenon_D_pnotp.
% 54.60/54.84 apply zenon_Hca.
% 54.60/54.84 rewrite <- zenon_D_pnotp.
% 54.60/54.84 exact zenon_H4e.
% 54.60/54.84 cut (((e21) = (op2 (e21) (e23)))); [idtac | apply NNPP; zenon_intro zenon_Hcc].
% 54.60/54.84 cut (((op2 (e21) (e20)) = (op2 (e21) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H38].
% 54.60/54.84 congruence.
% 54.60/54.84 apply zenon_H38. apply refl_equal.
% 54.60/54.84 apply zenon_Hcc. apply sym_equal. exact zenon_Hcb.
% 54.60/54.84 (* end of lemma zenon_L36_ *)
% 54.60/54.84 assert (zenon_L37_ : (((op2 (e21) (e23)) = (e21))/\(((op2 (e23) (e21)) = (e21))/\(((~((op2 (e23) (e20)) = (e23)))\/(~((op2 (e23) (e23)) = (e20))))/\(((~((op2 (e23) (e21)) = (e23)))\/(~((op2 (e23) (e23)) = (e21))))/\(((~((op2 (e23) (e22)) = (e23)))\/(~((op2 (e23) (e23)) = (e22))))/\((~((op2 (e23) (e23)) = (e23)))\/(~((op2 (e23) (e23)) = (e23))))))))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e23)))) -> ((op2 (e21) (e20)) = (e21)) -> False).
% 54.60/54.84 do 0 intro. intros zenon_Hcd zenon_Hca zenon_H4e.
% 54.60/54.84 apply (zenon_and_s _ _ zenon_Hcd). zenon_intro zenon_Hcb. zenon_intro zenon_Hce.
% 54.60/54.84 apply (zenon_L36_); trivial.
% 54.60/54.84 (* end of lemma zenon_L37_ *)
% 54.60/54.84 assert (zenon_L38_ : (((op2 (e22) (e20)) = (e22))/\(((op2 (e20) (e22)) = (e22))/\(((~((op2 (e20) (e20)) = (e20)))\/(~((op2 (e20) (e20)) = (e20))))/\(((~((op2 (e20) (e21)) = (e20)))\/(~((op2 (e20) (e20)) = (e21))))/\(((~((op2 (e20) (e22)) = (e20)))\/(~((op2 (e20) (e20)) = (e22))))/\((~((op2 (e20) (e23)) = (e20)))\/(~((op2 (e20) (e20)) = (e23))))))))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> ((e22) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> ((e20) = (op2 (e21) (e21))) -> ((e23) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> False).
% 54.60/54.84 do 0 intro. intros zenon_Hcf zenon_Hb0 zenon_H3f zenon_H33 zenon_H3b.
% 54.60/54.84 apply (zenon_and_s _ _ zenon_Hcf). zenon_intro zenon_Hb1. zenon_intro zenon_Hd0.
% 54.60/54.84 apply (zenon_L30_); trivial.
% 54.60/54.84 (* end of lemma zenon_L38_ *)
% 54.60/54.84 assert (zenon_L39_ : (((op2 (e22) (e21)) = (e22))/\(((op2 (e21) (e22)) = (e22))/\(((~((op2 (e21) (e20)) = (e21)))\/(~((op2 (e21) (e21)) = (e20))))/\(((~((op2 (e21) (e21)) = (e21)))\/(~((op2 (e21) (e21)) = (e21))))/\(((~((op2 (e21) (e22)) = (e21)))\/(~((op2 (e21) (e21)) = (e22))))/\((~((op2 (e21) (e23)) = (e21)))\/(~((op2 (e21) (e21)) = (e23))))))))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> ((e20) = (op2 (e21) (e21))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> ((e22) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> ((e23) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (((op2 (e21) (e20)) = (e20))\/(((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e20)) = (e22))\/((op2 (e21) (e20)) = (e23))))) -> False).
% 54.60/54.84 do 0 intro. intros zenon_Hd1 zenon_H32 zenon_H33 zenon_H3e zenon_H3f zenon_H3b zenon_H45 zenon_H4a.
% 54.60/54.84 apply (zenon_and_s _ _ zenon_Hd1). zenon_intro zenon_Hd3. zenon_intro zenon_Hd2.
% 54.60/54.84 apply (zenon_and_s _ _ zenon_Hd2). zenon_intro zenon_Hd4. zenon_intro zenon_H52.
% 54.60/54.84 apply (zenon_and_s _ _ zenon_H52). zenon_intro zenon_H49. zenon_intro zenon_H53.
% 54.60/54.84 apply (zenon_L11_); trivial.
% 54.60/54.84 (* end of lemma zenon_L39_ *)
% 54.60/54.84 assert (zenon_L40_ : ((~((op2 (e22) (e22)) = (e22)))\/(~((op2 (e22) (e22)) = (e22)))) -> ((op2 (e22) (e22)) = (e22)) -> False).
% 54.60/54.84 do 0 intro. intros zenon_Hd5 zenon_Hd6.
% 54.60/54.84 apply (zenon_or_s _ _ zenon_Hd5); [ zenon_intro zenon_Hd7 | zenon_intro zenon_Hd7 ].
% 54.60/54.84 exact (zenon_Hd7 zenon_Hd6).
% 54.60/54.84 exact (zenon_Hd7 zenon_Hd6).
% 54.60/54.84 (* end of lemma zenon_L40_ *)
% 54.60/54.84 assert (zenon_L41_ : (((op2 (e22) (e22)) = (e22))/\(((op2 (e22) (e22)) = (e22))/\(((~((op2 (e22) (e20)) = (e22)))\/(~((op2 (e22) (e22)) = (e20))))/\(((~((op2 (e22) (e21)) = (e22)))\/(~((op2 (e22) (e22)) = (e21))))/\(((~((op2 (e22) (e22)) = (e22)))\/(~((op2 (e22) (e22)) = (e22))))/\((~((op2 (e22) (e23)) = (e22)))\/(~((op2 (e22) (e22)) = (e23))))))))) -> False).
% 54.60/54.84 do 0 intro. intros zenon_Hd8.
% 54.60/54.84 apply (zenon_and_s _ _ zenon_Hd8). zenon_intro zenon_Hd6. zenon_intro zenon_Hd9.
% 54.60/54.84 apply (zenon_and_s _ _ zenon_Hd9). zenon_intro zenon_Hd6. zenon_intro zenon_Hda.
% 54.60/54.84 apply (zenon_and_s _ _ zenon_Hda). zenon_intro zenon_Hdc. zenon_intro zenon_Hdb.
% 54.60/54.84 apply (zenon_and_s _ _ zenon_Hdb). zenon_intro zenon_Hde. zenon_intro zenon_Hdd.
% 54.60/54.84 apply (zenon_and_s _ _ zenon_Hdd). zenon_intro zenon_Hd5. zenon_intro zenon_Hdf.
% 54.60/54.84 apply (zenon_L40_); trivial.
% 54.60/54.84 (* end of lemma zenon_L41_ *)
% 54.60/54.84 assert (zenon_L42_ : (((op2 (e22) (e23)) = (e22))/\(((op2 (e23) (e22)) = (e22))/\(((~((op2 (e23) (e20)) = (e23)))\/(~((op2 (e23) (e23)) = (e20))))/\(((~((op2 (e23) (e21)) = (e23)))\/(~((op2 (e23) (e23)) = (e21))))/\(((~((op2 (e23) (e22)) = (e23)))\/(~((op2 (e23) (e23)) = (e22))))/\((~((op2 (e23) (e23)) = (e23)))\/(~((op2 (e23) (e23)) = (e23))))))))) -> ((e22) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> ((e20) = (op2 (e21) (e21))) -> ((e23) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> False).
% 54.60/54.84 do 0 intro. intros zenon_He0 zenon_H3f zenon_H33 zenon_H3b zenon_H67.
% 54.60/54.84 apply (zenon_and_s _ _ zenon_He0). zenon_intro zenon_He2. zenon_intro zenon_He1.
% 54.60/54.84 apply (zenon_and_s _ _ zenon_He1). zenon_intro zenon_H66. zenon_intro zenon_H8c.
% 54.60/54.84 apply (zenon_L16_); trivial.
% 54.60/54.84 (* end of lemma zenon_L42_ *)
% 54.60/54.84 assert (zenon_L43_ : (((op2 (e23) (e20)) = (e23))/\(((op2 (e20) (e23)) = (e23))/\(((~((op2 (e20) (e20)) = (e20)))\/(~((op2 (e20) (e20)) = (e20))))/\(((~((op2 (e20) (e21)) = (e20)))\/(~((op2 (e20) (e20)) = (e21))))/\(((~((op2 (e20) (e22)) = (e20)))\/(~((op2 (e20) (e20)) = (e22))))/\((~((op2 (e20) (e23)) = (e20)))\/(~((op2 (e20) (e20)) = (e23))))))))) -> ((e23) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((e20) = (op2 (e21) (e21))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> False).
% 54.60/54.84 do 0 intro. intros zenon_He3 zenon_H3b zenon_H33 zenon_H9f.
% 54.60/54.84 apply (zenon_and_s _ _ zenon_He3). zenon_intro zenon_He5. zenon_intro zenon_He4.
% 54.60/54.84 apply (zenon_and_s _ _ zenon_He4). zenon_intro zenon_H9e. zenon_intro zenon_H2e.
% 54.60/54.84 apply (zenon_L27_); trivial.
% 54.60/54.84 (* end of lemma zenon_L43_ *)
% 54.60/54.84 assert (zenon_L44_ : (((op2 (e23) (e21)) = (e23))/\(((op2 (e21) (e23)) = (e23))/\(((~((op2 (e21) (e20)) = (e21)))\/(~((op2 (e21) (e21)) = (e20))))/\(((~((op2 (e21) (e21)) = (e21)))\/(~((op2 (e21) (e21)) = (e21))))/\(((~((op2 (e21) (e22)) = (e21)))\/(~((op2 (e21) (e21)) = (e22))))/\((~((op2 (e21) (e23)) = (e21)))\/(~((op2 (e21) (e21)) = (e23))))))))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> ((e20) = (op2 (e21) (e21))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> ((e22) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> ((e23) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (((op2 (e21) (e20)) = (e20))\/(((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e20)) = (e22))\/((op2 (e21) (e20)) = (e23))))) -> False).
% 54.60/54.84 do 0 intro. intros zenon_He6 zenon_H32 zenon_H33 zenon_H3e zenon_H3f zenon_H3b zenon_H45 zenon_H4a.
% 54.60/54.84 apply (zenon_and_s _ _ zenon_He6). zenon_intro zenon_He8. zenon_intro zenon_He7.
% 54.60/54.84 apply (zenon_and_s _ _ zenon_He7). zenon_intro zenon_He9. zenon_intro zenon_H52.
% 54.60/54.84 apply (zenon_and_s _ _ zenon_H52). zenon_intro zenon_H49. zenon_intro zenon_H53.
% 54.60/54.84 apply (zenon_L11_); trivial.
% 54.60/54.84 (* end of lemma zenon_L44_ *)
% 54.60/54.84 assert (zenon_L45_ : (~((e22) = (e22))) -> False).
% 54.60/54.84 do 0 intro. intros zenon_Hea.
% 54.60/54.84 apply zenon_Hea. apply refl_equal.
% 54.60/54.84 (* end of lemma zenon_L45_ *)
% 54.60/54.84 assert (zenon_L46_ : ((op2 (e22) (e23)) = (e22)) -> ((op2 (e22) (e23)) = (e23)) -> (~((e22) = (e23))) -> False).
% 54.60/54.84 do 0 intro. intros zenon_He2 zenon_Heb zenon_Hec.
% 54.60/54.84 elim (classic ((e23) = (e23))); [ zenon_intro zenon_Hed | zenon_intro zenon_Hee ].
% 54.60/54.84 cut (((e23) = (e23)) = ((e22) = (e23))).
% 54.60/54.84 intro zenon_D_pnotp.
% 54.60/54.84 apply zenon_Hec.
% 54.60/54.84 rewrite <- zenon_D_pnotp.
% 54.60/54.84 exact zenon_Hed.
% 54.60/54.84 cut (((e23) = (e23))); [idtac | apply NNPP; zenon_intro zenon_Hee].
% 54.60/54.84 cut (((e23) = (e22))); [idtac | apply NNPP; zenon_intro zenon_Hef].
% 54.60/54.84 congruence.
% 54.60/54.84 cut (((op2 (e22) (e23)) = (e22)) = ((e23) = (e22))).
% 54.60/54.84 intro zenon_D_pnotp.
% 54.60/54.84 apply zenon_Hef.
% 54.60/54.84 rewrite <- zenon_D_pnotp.
% 54.60/54.84 exact zenon_He2.
% 54.60/54.84 cut (((e22) = (e22))); [idtac | apply NNPP; zenon_intro zenon_Hea].
% 54.60/54.84 cut (((op2 (e22) (e23)) = (e23))); [idtac | apply NNPP; zenon_intro zenon_Hf0].
% 54.60/54.84 congruence.
% 54.60/54.84 exact (zenon_Hf0 zenon_Heb).
% 54.60/54.84 apply zenon_Hea. apply refl_equal.
% 54.60/54.84 apply zenon_Hee. apply refl_equal.
% 54.60/54.84 apply zenon_Hee. apply refl_equal.
% 54.60/54.84 (* end of lemma zenon_L46_ *)
% 54.60/54.84 assert (zenon_L47_ : (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> ((e23) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((e20) = (op2 (e21) (e21))) -> ((e22) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e22) (e21)) = (e22))) -> (~((op2 (e22) (e22)) = (e22))) -> ((op2 (e22) (e23)) = (e23)) -> (~((e22) = (e23))) -> False).
% 54.60/54.84 do 0 intro. intros zenon_Hf1 zenon_H3b zenon_H33 zenon_H3f zenon_Hb0 zenon_Hf2 zenon_Hd7 zenon_Heb zenon_Hec.
% 54.60/54.84 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_Hb1 | zenon_intro zenon_Hf3 ].
% 54.60/54.84 apply (zenon_L30_); trivial.
% 54.60/54.84 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_Hd3 | zenon_intro zenon_Hf4 ].
% 54.60/54.84 exact (zenon_Hf2 zenon_Hd3).
% 54.60/54.84 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_Hd6 | zenon_intro zenon_He2 ].
% 54.60/54.84 exact (zenon_Hd7 zenon_Hd6).
% 54.60/54.84 apply (zenon_L46_); trivial.
% 54.60/54.84 (* end of lemma zenon_L47_ *)
% 54.60/54.84 assert (zenon_L48_ : ((~((op2 (e22) (e22)) = (e22)))\/(~((op2 (e22) (e22)) = (e22)))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> ((e22) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> ((e23) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((e20) = (op2 (e21) (e21))) -> (~((op2 (e22) (e21)) = (e22))) -> (~((e22) = (e23))) -> ((op2 (e22) (e23)) = (e23)) -> (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> False).
% 54.60/54.84 do 0 intro. intros zenon_Hd5 zenon_Hb0 zenon_H3f zenon_H3b zenon_H33 zenon_Hf2 zenon_Hec zenon_Heb zenon_Hf1.
% 54.60/54.84 apply (zenon_or_s _ _ zenon_Hd5); [ zenon_intro zenon_Hd7 | zenon_intro zenon_Hd7 ].
% 54.60/54.84 apply (zenon_L47_); trivial.
% 54.60/54.84 apply (zenon_L47_); trivial.
% 54.60/54.84 (* end of lemma zenon_L48_ *)
% 54.60/54.84 assert (zenon_L49_ : (~((op2 (op2 (e21) (e21)) (op2 (e21) (e21))) = (op2 (e22) (e22)))) -> ((op2 (e20) (e20)) = (e23)) -> ((e20) = (op2 (e21) (e21))) -> ((op2 (e22) (e22)) = (e23)) -> False).
% 54.60/54.84 do 0 intro. intros zenon_Hf5 zenon_Ha8 zenon_H33 zenon_Hf6.
% 54.60/54.84 cut (((op2 (e20) (e20)) = (e23)) = ((op2 (op2 (e21) (e21)) (op2 (e21) (e21))) = (op2 (e22) (e22)))).
% 54.60/54.84 intro zenon_D_pnotp.
% 54.60/54.84 apply zenon_Hf5.
% 54.60/54.84 rewrite <- zenon_D_pnotp.
% 54.60/54.84 exact zenon_Ha8.
% 54.60/54.84 cut (((e23) = (op2 (e22) (e22)))); [idtac | apply NNPP; zenon_intro zenon_Hf7].
% 54.60/54.84 cut (((op2 (e20) (e20)) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21))))); [idtac | apply NNPP; zenon_intro zenon_Hf8].
% 54.60/54.84 congruence.
% 54.60/54.84 elim (classic ((op2 (op2 (e21) (e21)) (op2 (e21) (e21))) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21))))); [ zenon_intro zenon_Hf9 | zenon_intro zenon_Hfa ].
% 54.60/54.84 cut (((op2 (op2 (e21) (e21)) (op2 (e21) (e21))) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) = ((op2 (e20) (e20)) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21))))).
% 54.60/54.84 intro zenon_D_pnotp.
% 54.60/54.84 apply zenon_Hf8.
% 54.60/54.84 rewrite <- zenon_D_pnotp.
% 54.60/54.84 exact zenon_Hf9.
% 54.60/54.84 cut (((op2 (op2 (e21) (e21)) (op2 (e21) (e21))) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21))))); [idtac | apply NNPP; zenon_intro zenon_Hfa].
% 54.60/54.84 cut (((op2 (op2 (e21) (e21)) (op2 (e21) (e21))) = (op2 (e20) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H43].
% 54.60/54.84 congruence.
% 54.60/54.84 apply (zenon_L9_); trivial.
% 54.60/54.84 apply zenon_Hfa. apply refl_equal.
% 54.60/54.84 apply zenon_Hfa. apply refl_equal.
% 54.60/54.84 apply zenon_Hf7. apply sym_equal. exact zenon_Hf6.
% 54.60/54.84 (* end of lemma zenon_L49_ *)
% 54.60/54.84 assert (zenon_L50_ : ((e23) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((op2 (e23) (e22)) = (e23)) -> ((op2 (e20) (e20)) = (e23)) -> ((op2 (e22) (e22)) = (e23)) -> ((e20) = (op2 (e21) (e21))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> False).
% 54.60/54.84 do 0 intro. intros zenon_H3b zenon_Hfb zenon_Ha8 zenon_Hf6 zenon_H33 zenon_Hfc.
% 54.60/54.84 elim (classic ((op2 (e23) (e22)) = (op2 (e23) (e22)))); [ zenon_intro zenon_H68 | zenon_intro zenon_H69 ].
% 54.60/54.84 cut (((op2 (e23) (e22)) = (op2 (e23) (e22))) = ((op2 (e22) (e22)) = (op2 (e23) (e22)))).
% 54.60/54.84 intro zenon_D_pnotp.
% 54.60/54.84 apply zenon_Hfc.
% 54.60/54.84 rewrite <- zenon_D_pnotp.
% 54.60/54.84 exact zenon_H68.
% 54.60/54.84 cut (((op2 (e23) (e22)) = (op2 (e23) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H69].
% 54.60/54.84 cut (((op2 (e23) (e22)) = (op2 (e22) (e22)))); [idtac | apply NNPP; zenon_intro zenon_Hfd].
% 54.60/54.84 congruence.
% 54.60/54.84 cut (((e23) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) = ((op2 (e23) (e22)) = (op2 (e22) (e22)))).
% 54.60/54.84 intro zenon_D_pnotp.
% 54.60/54.84 apply zenon_Hfd.
% 54.60/54.84 rewrite <- zenon_D_pnotp.
% 54.60/54.84 exact zenon_H3b.
% 54.60/54.84 cut (((op2 (op2 (e21) (e21)) (op2 (e21) (e21))) = (op2 (e22) (e22)))); [idtac | apply NNPP; zenon_intro zenon_Hf5].
% 54.60/54.84 cut (((e23) = (op2 (e23) (e22)))); [idtac | apply NNPP; zenon_intro zenon_Hfe].
% 54.60/54.84 congruence.
% 54.60/54.84 elim (classic ((op2 (e23) (e22)) = (op2 (e23) (e22)))); [ zenon_intro zenon_H68 | zenon_intro zenon_H69 ].
% 54.60/54.84 cut (((op2 (e23) (e22)) = (op2 (e23) (e22))) = ((e23) = (op2 (e23) (e22)))).
% 54.60/54.84 intro zenon_D_pnotp.
% 54.60/54.84 apply zenon_Hfe.
% 54.60/54.84 rewrite <- zenon_D_pnotp.
% 54.60/54.84 exact zenon_H68.
% 54.60/54.84 cut (((op2 (e23) (e22)) = (op2 (e23) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H69].
% 54.60/54.84 cut (((op2 (e23) (e22)) = (e23))); [idtac | apply NNPP; zenon_intro zenon_Hff].
% 54.60/54.84 congruence.
% 54.60/54.84 exact (zenon_Hff zenon_Hfb).
% 54.60/54.84 apply zenon_H69. apply refl_equal.
% 54.60/54.84 apply zenon_H69. apply refl_equal.
% 54.60/54.84 apply (zenon_L49_); trivial.
% 54.60/54.84 apply zenon_H69. apply refl_equal.
% 54.60/54.84 apply zenon_H69. apply refl_equal.
% 54.60/54.84 (* end of lemma zenon_L50_ *)
% 54.60/54.84 assert (zenon_L51_ : (((op2 (e22) (e22)) = (e20))\/(((op2 (e22) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e22)) = (e23))))) -> (~((op2 (e22) (e22)) = (e20))) -> (~((op2 (e22) (e22)) = (e21))) -> (~((op2 (e22) (e22)) = (e22))) -> ((e23) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((op2 (e23) (e22)) = (e23)) -> ((op2 (e20) (e20)) = (e23)) -> ((e20) = (op2 (e21) (e21))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> False).
% 54.60/54.84 do 0 intro. intros zenon_H100 zenon_H85 zenon_H101 zenon_Hd7 zenon_H3b zenon_Hfb zenon_Ha8 zenon_H33 zenon_Hfc.
% 54.60/54.84 apply (zenon_or_s _ _ zenon_H100); [ zenon_intro zenon_H88 | zenon_intro zenon_H102 ].
% 54.60/54.84 exact (zenon_H85 zenon_H88).
% 54.60/54.84 apply (zenon_or_s _ _ zenon_H102); [ zenon_intro zenon_H104 | zenon_intro zenon_H103 ].
% 54.60/54.84 exact (zenon_H101 zenon_H104).
% 54.60/54.84 apply (zenon_or_s _ _ zenon_H103); [ zenon_intro zenon_Hd6 | zenon_intro zenon_Hf6 ].
% 54.60/54.84 exact (zenon_Hd7 zenon_Hd6).
% 54.60/54.84 apply (zenon_L50_); trivial.
% 54.60/54.84 (* end of lemma zenon_L51_ *)
% 54.60/54.84 assert (zenon_L52_ : (((op2 (e20) (e20)) = (e23))\/(((op2 (e20) (e21)) = (e23))\/(((op2 (e20) (e22)) = (e23))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> ((op2 (e23) (e22)) = (e23)) -> (~((op2 (e22) (e22)) = (e22))) -> (~((op2 (e22) (e22)) = (e21))) -> (~((op2 (e22) (e22)) = (e20))) -> (((op2 (e22) (e22)) = (e20))\/(((op2 (e22) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e22)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e22)))) -> ((e23) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((e20) = (op2 (e21) (e21))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> False).
% 54.60/54.84 do 0 intro. intros zenon_Ha5 zenon_Hfc zenon_Hfb zenon_Hd7 zenon_H101 zenon_H85 zenon_H100 zenon_H93 zenon_H98 zenon_H3b zenon_H33 zenon_H9f.
% 54.60/54.84 apply (zenon_or_s _ _ zenon_Ha5); [ zenon_intro zenon_Ha8 | zenon_intro zenon_Ha7 ].
% 54.60/54.84 apply (zenon_L51_); trivial.
% 54.60/54.84 apply (zenon_or_s _ _ zenon_Ha7); [ zenon_intro zenon_H92 | zenon_intro zenon_Ha9 ].
% 54.60/54.84 apply (zenon_L25_); trivial.
% 54.60/54.84 apply (zenon_or_s _ _ zenon_Ha9); [ zenon_intro zenon_H97 | zenon_intro zenon_H9e ].
% 54.60/54.84 apply (zenon_L26_); trivial.
% 54.60/54.84 apply (zenon_L27_); trivial.
% 54.60/54.84 (* end of lemma zenon_L52_ *)
% 54.60/54.84 assert (zenon_L53_ : ((~((op2 (e23) (e23)) = (e23)))\/(~((op2 (e23) (e23)) = (e23)))) -> ((op2 (e23) (e23)) = (e23)) -> False).
% 54.60/54.84 do 0 intro. intros zenon_H105 zenon_H106.
% 54.60/54.84 apply (zenon_or_s _ _ zenon_H105); [ zenon_intro zenon_H107 | zenon_intro zenon_H107 ].
% 54.60/54.84 exact (zenon_H107 zenon_H106).
% 54.60/54.84 exact (zenon_H107 zenon_H106).
% 54.60/54.84 (* end of lemma zenon_L53_ *)
% 54.60/54.84 assert (zenon_L54_ : (((op2 (e23) (e23)) = (e23))/\(((op2 (e23) (e23)) = (e23))/\(((~((op2 (e23) (e20)) = (e23)))\/(~((op2 (e23) (e23)) = (e20))))/\(((~((op2 (e23) (e21)) = (e23)))\/(~((op2 (e23) (e23)) = (e21))))/\(((~((op2 (e23) (e22)) = (e23)))\/(~((op2 (e23) (e23)) = (e22))))/\((~((op2 (e23) (e23)) = (e23)))\/(~((op2 (e23) (e23)) = (e23))))))))) -> False).
% 54.60/54.84 do 0 intro. intros zenon_H108.
% 54.60/54.84 apply (zenon_and_s _ _ zenon_H108). zenon_intro zenon_H106. zenon_intro zenon_H109.
% 54.60/54.84 apply (zenon_and_s _ _ zenon_H109). zenon_intro zenon_H106. zenon_intro zenon_H8c.
% 54.60/54.84 apply (zenon_and_s _ _ zenon_H8c). zenon_intro zenon_H10b. zenon_intro zenon_H10a.
% 54.60/54.84 apply (zenon_and_s _ _ zenon_H10a). zenon_intro zenon_H10d. zenon_intro zenon_H10c.
% 54.60/54.84 apply (zenon_and_s _ _ zenon_H10c). zenon_intro zenon_H10e. zenon_intro zenon_H105.
% 54.60/54.84 apply (zenon_L53_); trivial.
% 54.60/54.84 (* end of lemma zenon_L54_ *)
% 54.60/54.84 assert (zenon_L55_ : ((e20) = (op2 (e21) (e21))) -> ((op2 (e22) (e21)) = (e20)) -> (~((op2 (e21) (e21)) = (op2 (e22) (e21)))) -> False).
% 54.60/54.84 do 0 intro. intros zenon_H33 zenon_H10f zenon_H110.
% 54.60/54.84 elim (classic ((op2 (e22) (e21)) = (op2 (e22) (e21)))); [ zenon_intro zenon_H111 | zenon_intro zenon_H112 ].
% 54.60/54.84 cut (((op2 (e22) (e21)) = (op2 (e22) (e21))) = ((op2 (e21) (e21)) = (op2 (e22) (e21)))).
% 54.60/54.84 intro zenon_D_pnotp.
% 54.60/54.84 apply zenon_H110.
% 54.60/54.84 rewrite <- zenon_D_pnotp.
% 54.60/54.84 exact zenon_H111.
% 54.60/54.84 cut (((op2 (e22) (e21)) = (op2 (e22) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H112].
% 54.60/54.84 cut (((op2 (e22) (e21)) = (op2 (e21) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H113].
% 54.60/54.84 congruence.
% 54.60/54.84 cut (((e20) = (op2 (e21) (e21))) = ((op2 (e22) (e21)) = (op2 (e21) (e21)))).
% 54.60/54.84 intro zenon_D_pnotp.
% 54.60/54.84 apply zenon_H113.
% 54.60/54.84 rewrite <- zenon_D_pnotp.
% 54.60/54.84 exact zenon_H33.
% 54.60/54.84 cut (((op2 (e21) (e21)) = (op2 (e21) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H35].
% 54.60/54.84 cut (((e20) = (op2 (e22) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H114].
% 54.60/54.84 congruence.
% 54.60/54.84 elim (classic ((op2 (e22) (e21)) = (op2 (e22) (e21)))); [ zenon_intro zenon_H111 | zenon_intro zenon_H112 ].
% 54.60/54.84 cut (((op2 (e22) (e21)) = (op2 (e22) (e21))) = ((e20) = (op2 (e22) (e21)))).
% 54.60/54.84 intro zenon_D_pnotp.
% 54.60/54.84 apply zenon_H114.
% 54.60/54.84 rewrite <- zenon_D_pnotp.
% 54.60/54.84 exact zenon_H111.
% 54.60/54.84 cut (((op2 (e22) (e21)) = (op2 (e22) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H112].
% 54.60/54.84 cut (((op2 (e22) (e21)) = (e20))); [idtac | apply NNPP; zenon_intro zenon_H115].
% 54.60/54.84 congruence.
% 54.60/54.84 exact (zenon_H115 zenon_H10f).
% 54.60/54.84 apply zenon_H112. apply refl_equal.
% 54.60/54.84 apply zenon_H112. apply refl_equal.
% 54.60/54.84 apply zenon_H35. apply refl_equal.
% 54.60/54.84 apply zenon_H112. apply refl_equal.
% 54.60/54.84 apply zenon_H112. apply refl_equal.
% 54.60/54.84 (* end of lemma zenon_L55_ *)
% 54.60/54.84 assert (zenon_L56_ : (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> ((op2 (e20) (op2 (e20) (e20))) = (e20)) -> ((op2 (e20) (e20)) = (e23)) -> ((op2 (e22) (e23)) = (e20)) -> False).
% 54.60/54.84 do 0 intro. intros zenon_H116 zenon_H117 zenon_Ha8 zenon_H118.
% 54.60/54.84 cut (((op2 (e20) (op2 (e20) (e20))) = (e20)) = ((op2 (e20) (e23)) = (op2 (e22) (e23)))).
% 54.60/54.84 intro zenon_D_pnotp.
% 54.60/54.84 apply zenon_H116.
% 54.60/54.84 rewrite <- zenon_D_pnotp.
% 54.60/54.84 exact zenon_H117.
% 54.60/54.84 cut (((e20) = (op2 (e22) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H119].
% 54.60/54.84 cut (((op2 (e20) (op2 (e20) (e20))) = (op2 (e20) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H11a].
% 54.60/54.84 congruence.
% 54.60/54.84 elim (classic ((op2 (e20) (e23)) = (op2 (e20) (e23)))); [ zenon_intro zenon_Ha0 | zenon_intro zenon_Ha1 ].
% 54.60/54.84 cut (((op2 (e20) (e23)) = (op2 (e20) (e23))) = ((op2 (e20) (op2 (e20) (e20))) = (op2 (e20) (e23)))).
% 54.60/54.84 intro zenon_D_pnotp.
% 54.60/54.84 apply zenon_H11a.
% 54.60/54.84 rewrite <- zenon_D_pnotp.
% 54.60/54.84 exact zenon_Ha0.
% 54.60/54.84 cut (((op2 (e20) (e23)) = (op2 (e20) (e23)))); [idtac | apply NNPP; zenon_intro zenon_Ha1].
% 54.60/54.84 cut (((op2 (e20) (e23)) = (op2 (e20) (op2 (e20) (e20))))); [idtac | apply NNPP; zenon_intro zenon_H11b].
% 54.60/54.84 congruence.
% 54.60/54.84 cut (((e23) = (op2 (e20) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H11c].
% 54.60/54.84 cut (((e20) = (e20))); [idtac | apply NNPP; zenon_intro zenon_H54].
% 54.60/54.84 congruence.
% 54.60/54.84 apply zenon_H54. apply refl_equal.
% 54.60/54.84 apply zenon_H11c. apply sym_equal. exact zenon_Ha8.
% 54.60/54.84 apply zenon_Ha1. apply refl_equal.
% 54.60/54.84 apply zenon_Ha1. apply refl_equal.
% 54.60/54.84 apply zenon_H119. apply sym_equal. exact zenon_H118.
% 54.60/54.84 (* end of lemma zenon_L56_ *)
% 54.60/54.84 assert (zenon_L57_ : ((~((op2 (e22) (e22)) = (e20)))\/((op2 (e22) (e20)) = (e22))) -> ((e22) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e22) (e23)) = (e20))))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> ((e20) = (op2 (e21) (e21))) -> (~((op2 (e21) (e21)) = (op2 (e22) (e21)))) -> ((op2 (e20) (e20)) = (e20)) -> ((op2 (e20) (op2 (e20) (e20))) = (e20)) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> ((e23) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e22)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e20) (e21)) = (e23))\/(((op2 (e20) (e22)) = (e23))\/((op2 (e20) (e23)) = (e23))))) -> False).
% 54.60/54.84 do 0 intro. intros zenon_H11d zenon_H3f zenon_Hb0 zenon_H11e zenon_H116 zenon_H33 zenon_H110 zenon_H2d zenon_H117 zenon_H11f zenon_H93 zenon_H3b zenon_H98 zenon_H9f zenon_Ha5.
% 54.60/54.84 apply (zenon_or_s _ _ zenon_H11d); [ zenon_intro zenon_H85 | zenon_intro zenon_Hb1 ].
% 54.60/54.84 apply (zenon_or_s _ _ zenon_Ha5); [ zenon_intro zenon_Ha8 | zenon_intro zenon_Ha7 ].
% 54.60/54.84 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_H121 | zenon_intro zenon_H120 ].
% 54.60/54.84 cut (((op2 (e20) (op2 (e20) (e20))) = (e20)) = ((op2 (e20) (e20)) = (op2 (e22) (e20)))).
% 54.60/54.84 intro zenon_D_pnotp.
% 54.60/54.84 apply zenon_H11f.
% 54.60/54.84 rewrite <- zenon_D_pnotp.
% 54.60/54.84 exact zenon_H117.
% 54.60/54.84 cut (((e20) = (op2 (e22) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H122].
% 54.60/54.84 cut (((op2 (e20) (op2 (e20) (e20))) = (op2 (e20) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H123].
% 54.60/54.84 congruence.
% 54.60/54.84 elim (classic ((op2 (e20) (e20)) = (op2 (e20) (e20)))); [ zenon_intro zenon_H5b | zenon_intro zenon_H5c ].
% 54.60/54.84 cut (((op2 (e20) (e20)) = (op2 (e20) (e20))) = ((op2 (e20) (op2 (e20) (e20))) = (op2 (e20) (e20)))).
% 54.60/54.84 intro zenon_D_pnotp.
% 54.60/54.84 apply zenon_H123.
% 54.60/54.84 rewrite <- zenon_D_pnotp.
% 54.60/54.84 exact zenon_H5b.
% 54.60/54.84 cut (((op2 (e20) (e20)) = (op2 (e20) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H5c].
% 54.60/54.84 cut (((op2 (e20) (e20)) = (op2 (e20) (op2 (e20) (e20))))); [idtac | apply NNPP; zenon_intro zenon_H124].
% 54.60/54.84 congruence.
% 54.60/54.84 cut (((e20) = (op2 (e20) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H125].
% 54.60/54.84 cut (((e20) = (e20))); [idtac | apply NNPP; zenon_intro zenon_H54].
% 54.60/54.84 congruence.
% 54.60/54.84 apply zenon_H54. apply refl_equal.
% 54.60/54.84 apply zenon_H125. apply sym_equal. exact zenon_H2d.
% 54.60/54.84 apply zenon_H5c. apply refl_equal.
% 54.60/54.84 apply zenon_H5c. apply refl_equal.
% 54.60/54.84 apply zenon_H122. apply sym_equal. exact zenon_H121.
% 54.60/54.84 apply (zenon_or_s _ _ zenon_H120); [ zenon_intro zenon_H10f | zenon_intro zenon_H126 ].
% 54.60/54.84 apply (zenon_L55_); trivial.
% 54.60/54.84 apply (zenon_or_s _ _ zenon_H126); [ zenon_intro zenon_H88 | zenon_intro zenon_H118 ].
% 54.60/54.84 exact (zenon_H85 zenon_H88).
% 54.60/54.84 apply (zenon_L56_); trivial.
% 54.60/54.84 apply (zenon_or_s _ _ zenon_Ha7); [ zenon_intro zenon_H92 | zenon_intro zenon_Ha9 ].
% 54.60/54.84 apply (zenon_L25_); trivial.
% 54.60/54.84 apply (zenon_or_s _ _ zenon_Ha9); [ zenon_intro zenon_H97 | zenon_intro zenon_H9e ].
% 54.60/54.84 apply (zenon_L26_); trivial.
% 54.60/54.84 apply (zenon_L27_); trivial.
% 54.60/54.84 apply (zenon_L30_); trivial.
% 54.60/54.84 (* end of lemma zenon_L57_ *)
% 54.60/54.84 assert (zenon_L58_ : (((op2 (e20) (op2 (e20) (e20))) = (e20))/\(((op2 (e20) (op2 (e20) (e21))) = (e21))/\(((op2 (e20) (op2 (e20) (e22))) = (e22))/\(((op2 (e20) (op2 (e20) (e23))) = (e23))/\(((~((op2 (e20) (e20)) = (e20)))\/((op2 (e20) (e20)) = (e20)))/\(((~((op2 (e21) (e21)) = (e20)))\/((op2 (e21) (e20)) = (e21)))/\(((~((op2 (e22) (e22)) = (e20)))\/((op2 (e22) (e20)) = (e22)))/\((~((op2 (e23) (e23)) = (e20)))\/((op2 (e23) (e20)) = (e23)))))))))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> (~((op2 (e21) (e21)) = (op2 (e22) (e21)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e22) (e23)) = (e20))))) -> ((e20) = (op2 (e21) (e21))) -> (((op2 (e21) (e20)) = (e20))\/(((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e20)) = (e22))\/((op2 (e21) (e20)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> ((e23) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((e22) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> (~((op2 (e20) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (((op2 (e23) (e20)) = (e22))\/(((op2 (e23) (e21)) = (e22))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((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)) = (op2 (e20) (e21)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e22)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e20) (e21)) = (e23))\/(((op2 (e20) (e22)) = (e23))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e20) (e21)) = (e20))\/(((op2 (e20) (e22)) = (e20))\/((op2 (e20) (e23)) = (e20))))) -> (((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 (e21) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e23)))) -> (~((e22) = (e23))) -> (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> (((op2 (e22) (e22)) = (e20))\/(((op2 (e22) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e22)) = (e23))))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> ((((op2 (e20) (e20)) = (e20))/\(((op2 (e20) (e20)) = (e20))/\(((~((op2 (e20) (e20)) = (e20)))\/(~((op2 (e20) (e20)) = (e20))))/\(((~((op2 (e20) (e21)) = (e20)))\/(~((op2 (e20) (e20)) = (e21))))/\(((~((op2 (e20) (e22)) = (e20)))\/(~((op2 (e20) (e20)) = (e22))))/\((~((op2 (e20) (e23)) = (e20)))\/(~((op2 (e20) (e20)) = (e23)))))))))\/((((op2 (e20) (e21)) = (e20))/\(((op2 (e21) (e20)) = (e20))/\(((~((op2 (e21) (e20)) = (e21)))\/(~((op2 (e21) (e21)) = (e20))))/\(((~((op2 (e21) (e21)) = (e21)))\/(~((op2 (e21) (e21)) = (e21))))/\(((~((op2 (e21) (e22)) = (e21)))\/(~((op2 (e21) (e21)) = (e22))))/\((~((op2 (e21) (e23)) = (e21)))\/(~((op2 (e21) (e21)) = (e23)))))))))\/((((op2 (e20) (e22)) = (e20))/\(((op2 (e22) (e20)) = (e20))/\(((~((op2 (e22) (e20)) = (e22)))\/(~((op2 (e22) (e22)) = (e20))))/\(((~((op2 (e22) (e21)) = (e22)))\/(~((op2 (e22) (e22)) = (e21))))/\(((~((op2 (e22) (e22)) = (e22)))\/(~((op2 (e22) (e22)) = (e22))))/\((~((op2 (e22) (e23)) = (e22)))\/(~((op2 (e22) (e22)) = (e23)))))))))\/((((op2 (e20) (e23)) = (e20))/\(((op2 (e23) (e20)) = (e20))/\(((~((op2 (e23) (e20)) = (e23)))\/(~((op2 (e23) (e23)) = (e20))))/\(((~((op2 (e23) (e21)) = (e23)))\/(~((op2 (e23) (e23)) = (e21))))/\(((~((op2 (e23) (e22)) = (e23)))\/(~((op2 (e23) (e23)) = (e22))))/\((~((op2 (e23) (e23)) = (e23)))\/(~((op2 (e23) (e23)) = (e23)))))))))\/((((op2 (e21) (e20)) = (e21))/\(((op2 (e20) (e21)) = (e21))/\(((~((op2 (e20) (e20)) = (e20)))\/(~((op2 (e20) (e20)) = (e20))))/\(((~((op2 (e20) (e21)) = (e20)))\/(~((op2 (e20) (e20)) = (e21))))/\(((~((op2 (e20) (e22)) = (e20)))\/(~((op2 (e20) (e20)) = (e22))))/\((~((op2 (e20) (e23)) = (e20)))\/(~((op2 (e20) (e20)) = (e23)))))))))\/((((op2 (e21) (e21)) = (e21))/\(((op2 (e21) (e21)) = (e21))/\(((~((op2 (e21) (e20)) = (e21)))\/(~((op2 (e21) (e21)) = (e20))))/\(((~((op2 (e21) (e21)) = (e21)))\/(~((op2 (e21) (e21)) = (e21))))/\(((~((op2 (e21) (e22)) = (e21)))\/(~((op2 (e21) (e21)) = (e22))))/\((~((op2 (e21) (e23)) = (e21)))\/(~((op2 (e21) (e21)) = (e23)))))))))\/((((op2 (e21) (e22)) = (e21))/\(((op2 (e22) (e21)) = (e21))/\(((~((op2 (e22) (e20)) = (e22)))\/(~((op2 (e22) (e22)) = (e20))))/\(((~((op2 (e22) (e21)) = (e22)))\/(~((op2 (e22) (e22)) = (e21))))/\(((~((op2 (e22) (e22)) = (e22)))\/(~((op2 (e22) (e22)) = (e22))))/\((~((op2 (e22) (e23)) = (e22)))\/(~((op2 (e22) (e22)) = (e23)))))))))\/((((op2 (e21) (e23)) = (e21))/\(((op2 (e23) (e21)) = (e21))/\(((~((op2 (e23) (e20)) = (e23)))\/(~((op2 (e23) (e23)) = (e20))))/\(((~((op2 (e23) (e21)) = (e23)))\/(~((op2 (e23) (e23)) = (e21))))/\(((~((op2 (e23) (e22)) = (e23)))\/(~((op2 (e23) (e23)) = (e22))))/\((~((op2 (e23) (e23)) = (e23)))\/(~((op2 (e23) (e23)) = (e23)))))))))\/((((op2 (e22) (e20)) = (e22))/\(((op2 (e20) (e22)) = (e22))/\(((~((op2 (e20) (e20)) = (e20)))\/(~((op2 (e20) (e20)) = (e20))))/\(((~((op2 (e20) (e21)) = (e20)))\/(~((op2 (e20) (e20)) = (e21))))/\(((~((op2 (e20) (e22)) = (e20)))\/(~((op2 (e20) (e20)) = (e22))))/\((~((op2 (e20) (e23)) = (e20)))\/(~((op2 (e20) (e20)) = (e23)))))))))\/((((op2 (e22) (e21)) = (e22))/\(((op2 (e21) (e22)) = (e22))/\(((~((op2 (e21) (e20)) = (e21)))\/(~((op2 (e21) (e21)) = (e20))))/\(((~((op2 (e21) (e21)) = (e21)))\/(~((op2 (e21) (e21)) = (e21))))/\(((~((op2 (e21) (e22)) = (e21)))\/(~((op2 (e21) (e21)) = (e22))))/\((~((op2 (e21) (e23)) = (e21)))\/(~((op2 (e21) (e21)) = (e23)))))))))\/((((op2 (e22) (e22)) = (e22))/\(((op2 (e22) (e22)) = (e22))/\(((~((op2 (e22) (e20)) = (e22)))\/(~((op2 (e22) (e22)) = (e20))))/\(((~((op2 (e22) (e21)) = (e22)))\/(~((op2 (e22) (e22)) = (e21))))/\(((~((op2 (e22) (e22)) = (e22)))\/(~((op2 (e22) (e22)) = (e22))))/\((~((op2 (e22) (e23)) = (e22)))\/(~((op2 (e22) (e22)) = (e23)))))))))\/((((op2 (e22) (e23)) = (e22))/\(((op2 (e23) (e22)) = (e22))/\(((~((op2 (e23) (e20)) = (e23)))\/(~((op2 (e23) (e23)) = (e20))))/\(((~((op2 (e23) (e21)) = (e23)))\/(~((op2 (e23) (e23)) = (e21))))/\(((~((op2 (e23) (e22)) = (e23)))\/(~((op2 (e23) (e23)) = (e22))))/\((~((op2 (e23) (e23)) = (e23)))\/(~((op2 (e23) (e23)) = (e23)))))))))\/((((op2 (e23) (e20)) = (e23))/\(((op2 (e20) (e23)) = (e23))/\(((~((op2 (e20) (e20)) = (e20)))\/(~((op2 (e20) (e20)) = (e20))))/\(((~((op2 (e20) (e21)) = (e20)))\/(~((op2 (e20) (e20)) = (e21))))/\(((~((op2 (e20) (e22)) = (e20)))\/(~((op2 (e20) (e20)) = (e22))))/\((~((op2 (e20) (e23)) = (e20)))\/(~((op2 (e20) (e20)) = (e23)))))))))\/((((op2 (e23) (e21)) = (e23))/\(((op2 (e21) (e23)) = (e23))/\(((~((op2 (e21) (e20)) = (e21)))\/(~((op2 (e21) (e21)) = (e20))))/\(((~((op2 (e21) (e21)) = (e21)))\/(~((op2 (e21) (e21)) = (e21))))/\(((~((op2 (e21) (e22)) = (e21)))\/(~((op2 (e21) (e21)) = (e22))))/\((~((op2 (e21) (e23)) = (e21)))\/(~((op2 (e21) (e21)) = (e23)))))))))\/((((op2 (e23) (e22)) = (e23))/\(((op2 (e22) (e23)) = (e23))/\(((~((op2 (e22) (e20)) = (e22)))\/(~((op2 (e22) (e22)) = (e20))))/\(((~((op2 (e22) (e21)) = (e22)))\/(~((op2 (e22) (e22)) = (e21))))/\(((~((op2 (e22) (e22)) = (e22)))\/(~((op2 (e22) (e22)) = (e22))))/\((~((op2 (e22) (e23)) = (e22)))\/(~((op2 (e22) (e22)) = (e23)))))))))\/(((op2 (e23) (e23)) = (e23))/\(((op2 (e23) (e23)) = (e23))/\(((~((op2 (e23) (e20)) = (e23)))\/(~((op2 (e23) (e23)) = (e20))))/\(((~((op2 (e23) (e21)) = (e23)))\/(~((op2 (e23) (e23)) = (e21))))/\(((~((op2 (e23) (e22)) = (e23)))\/(~((op2 (e23) (e23)) = (e22))))/\((~((op2 (e23) (e23)) = (e23)))\/(~((op2 (e23) (e23)) = (e23)))))))))))))))))))))))) -> False).
% 54.60/54.84 do 0 intro. intros zenon_H127 zenon_H11f zenon_H110 zenon_H116 zenon_H11e zenon_H33 zenon_H4a zenon_H45 zenon_H3b zenon_H3f zenon_H3e zenon_H32 zenon_H55 zenon_H60 zenon_H67 zenon_H6e zenon_H74 zenon_H7a zenon_H84 zenon_H93 zenon_H98 zenon_H9f zenon_Ha5 zenon_H8d zenon_Hac zenon_Hb7 zenon_Hb0 zenon_Hc5 zenon_Hca zenon_Hec zenon_Hf1 zenon_H100 zenon_Hfc zenon_H128.
% 54.60/54.84 apply (zenon_and_s _ _ zenon_H127). zenon_intro zenon_H117. zenon_intro zenon_H129.
% 54.60/54.84 apply (zenon_and_s _ _ zenon_H129). zenon_intro zenon_H12b. zenon_intro zenon_H12a.
% 54.60/54.84 apply (zenon_and_s _ _ zenon_H12a). zenon_intro zenon_H56. zenon_intro zenon_H12c.
% 54.60/54.84 apply (zenon_and_s _ _ zenon_H12c). zenon_intro zenon_H12e. zenon_intro zenon_H12d.
% 54.60/54.84 apply (zenon_and_s _ _ zenon_H12d). zenon_intro zenon_H130. zenon_intro zenon_H12f.
% 54.60/54.84 apply (zenon_and_s _ _ zenon_H12f). zenon_intro zenon_H132. zenon_intro zenon_H131.
% 54.60/54.84 apply (zenon_and_s _ _ zenon_H131). zenon_intro zenon_H11d. zenon_intro zenon_H133.
% 54.60/54.84 apply (zenon_or_s _ _ zenon_H130); [ zenon_intro zenon_H31 | zenon_intro zenon_H2d ].
% 54.60/54.84 apply (zenon_or_s _ _ zenon_H132); [ zenon_intro zenon_H3c | zenon_intro zenon_H4e ].
% 54.60/54.84 apply zenon_H3c. apply sym_equal. exact zenon_H33.
% 54.60/54.84 apply (zenon_or_s _ _ zenon_H11d); [ zenon_intro zenon_H85 | zenon_intro zenon_Hb1 ].
% 54.60/54.84 apply (zenon_or_s _ _ zenon_H128); [ zenon_intro zenon_H2b | zenon_intro zenon_H134 ].
% 54.60/54.84 apply (zenon_L5_); trivial.
% 54.60/54.84 apply (zenon_or_s _ _ zenon_H134); [ zenon_intro zenon_H4f | zenon_intro zenon_H135 ].
% 54.60/54.84 apply (zenon_L12_); trivial.
% 54.60/54.84 apply (zenon_or_s _ _ zenon_H135); [ zenon_intro zenon_H77 | zenon_intro zenon_H136 ].
% 54.60/54.84 apply (zenon_L19_); trivial.
% 54.60/54.84 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_H89 | zenon_intro zenon_H137 ].
% 54.60/54.84 apply (zenon_L23_); trivial.
% 54.60/54.84 apply (zenon_or_s _ _ zenon_H137); [ zenon_intro zenon_Hb6 | zenon_intro zenon_H138 ].
% 54.60/54.84 apply (zenon_L31_); trivial.
% 54.60/54.84 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H139 ].
% 54.60/54.84 apply (zenon_L32_); trivial.
% 54.60/54.84 apply (zenon_or_s _ _ zenon_H139); [ zenon_intro zenon_Hc8 | zenon_intro zenon_H13a ].
% 54.60/54.84 apply (zenon_L35_); trivial.
% 54.60/54.84 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_Hcd | zenon_intro zenon_H13b ].
% 54.60/54.84 apply (zenon_L37_); trivial.
% 54.60/54.84 apply (zenon_or_s _ _ zenon_H13b); [ zenon_intro zenon_Hcf | zenon_intro zenon_H13c ].
% 54.60/54.84 apply (zenon_L38_); trivial.
% 54.60/54.84 apply (zenon_or_s _ _ zenon_H13c); [ zenon_intro zenon_Hd1 | zenon_intro zenon_H13d ].
% 54.60/54.84 apply (zenon_L39_); trivial.
% 54.60/54.84 apply (zenon_or_s _ _ zenon_H13d); [ zenon_intro zenon_Hd8 | zenon_intro zenon_H13e ].
% 54.60/54.84 apply (zenon_L41_); trivial.
% 54.60/54.84 apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_He0 | zenon_intro zenon_H13f ].
% 54.60/54.84 apply (zenon_L42_); trivial.
% 54.60/54.84 apply (zenon_or_s _ _ zenon_H13f); [ zenon_intro zenon_He3 | zenon_intro zenon_H140 ].
% 54.60/54.84 apply (zenon_L43_); trivial.
% 54.60/54.84 apply (zenon_or_s _ _ zenon_H140); [ zenon_intro zenon_He6 | zenon_intro zenon_H141 ].
% 54.60/54.84 apply (zenon_L44_); trivial.
% 54.60/54.84 apply (zenon_or_s _ _ zenon_H141); [ zenon_intro zenon_H142 | zenon_intro zenon_H108 ].
% 54.60/54.84 apply (zenon_and_s _ _ zenon_H142). zenon_intro zenon_Hfb. zenon_intro zenon_H143.
% 54.60/54.84 apply (zenon_and_s _ _ zenon_H143). zenon_intro zenon_Heb. zenon_intro zenon_Hda.
% 54.60/54.84 apply (zenon_and_s _ _ zenon_Hda). zenon_intro zenon_Hdc. zenon_intro zenon_Hdb.
% 54.60/54.84 apply (zenon_and_s _ _ zenon_Hdb). zenon_intro zenon_Hde. zenon_intro zenon_Hdd.
% 54.60/54.84 apply (zenon_and_s _ _ zenon_Hdd). zenon_intro zenon_Hd5. zenon_intro zenon_Hdf.
% 54.60/54.84 apply (zenon_or_s _ _ zenon_Hde); [ zenon_intro zenon_Hf2 | zenon_intro zenon_H101 ].
% 54.60/54.84 apply (zenon_L48_); trivial.
% 54.60/54.84 apply (zenon_or_s _ _ zenon_Hd5); [ zenon_intro zenon_Hd7 | zenon_intro zenon_Hd7 ].
% 54.60/54.84 apply (zenon_L52_); trivial.
% 54.60/54.84 apply (zenon_L52_); trivial.
% 54.60/54.84 apply (zenon_L54_); trivial.
% 54.60/54.84 apply (zenon_L30_); trivial.
% 54.60/54.84 apply (zenon_L57_); trivial.
% 54.60/54.84 (* end of lemma zenon_L58_ *)
% 54.60/54.84 assert (zenon_L59_ : ((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10)))) -> ((op1 (e10) (e10)) = (e10)) -> False).
% 54.60/54.84 do 0 intro. intros zenon_H144 zenon_H145.
% 54.60/54.84 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_H146 | zenon_intro zenon_H146 ].
% 54.60/54.84 exact (zenon_H146 zenon_H145).
% 54.60/54.84 exact (zenon_H146 zenon_H145).
% 54.60/54.84 (* end of lemma zenon_L59_ *)
% 54.60/54.84 assert (zenon_L60_ : (((op1 (e10) (e10)) = (e10))/\(((op1 (e10) (e10)) = (e10))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11))))/\(((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12))))/\((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13))))))))) -> False).
% 54.60/54.84 do 0 intro. intros zenon_H147.
% 54.60/54.84 apply (zenon_and_s _ _ zenon_H147). zenon_intro zenon_H145. zenon_intro zenon_H148.
% 54.60/54.84 apply (zenon_and_s _ _ zenon_H148). zenon_intro zenon_H145. zenon_intro zenon_H149.
% 54.60/54.84 apply (zenon_and_s _ _ zenon_H149). zenon_intro zenon_H144. zenon_intro zenon_H14a.
% 54.60/54.84 apply (zenon_L59_); trivial.
% 54.60/54.84 (* end of lemma zenon_L60_ *)
% 54.60/54.84 assert (zenon_L61_ : (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> ((e10) = (op1 (e11) (e11))) -> ((op1 (e11) (e10)) = (e10)) -> False).
% 54.60/54.84 do 0 intro. intros zenon_H14b zenon_H13 zenon_H14c.
% 54.60/54.84 cut (((e10) = (op1 (e11) (e11))) = ((op1 (e11) (e10)) = (op1 (e11) (e11)))).
% 54.60/54.84 intro zenon_D_pnotp.
% 54.60/54.84 apply zenon_H14b.
% 54.60/54.84 rewrite <- zenon_D_pnotp.
% 54.60/54.84 exact zenon_H13.
% 54.60/54.84 cut (((op1 (e11) (e11)) = (op1 (e11) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H14d].
% 54.60/54.84 cut (((e10) = (op1 (e11) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H14e].
% 54.60/54.84 congruence.
% 54.60/54.84 elim (classic ((op1 (e11) (e10)) = (op1 (e11) (e10)))); [ zenon_intro zenon_H14f | zenon_intro zenon_H150 ].
% 54.60/54.84 cut (((op1 (e11) (e10)) = (op1 (e11) (e10))) = ((e10) = (op1 (e11) (e10)))).
% 54.60/54.84 intro zenon_D_pnotp.
% 54.60/54.84 apply zenon_H14e.
% 54.60/54.84 rewrite <- zenon_D_pnotp.
% 54.60/54.84 exact zenon_H14f.
% 54.60/54.84 cut (((op1 (e11) (e10)) = (op1 (e11) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H150].
% 54.60/54.84 cut (((op1 (e11) (e10)) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H151].
% 54.60/54.84 congruence.
% 54.60/54.84 exact (zenon_H151 zenon_H14c).
% 54.60/54.84 apply zenon_H150. apply refl_equal.
% 54.60/54.84 apply zenon_H150. apply refl_equal.
% 54.60/54.84 apply zenon_H14d. apply refl_equal.
% 54.60/54.84 (* end of lemma zenon_L61_ *)
% 54.60/54.84 assert (zenon_L62_ : (~((op1 (op1 (op1 (e11) (e11)) (op1 (e11) (e11))) (op1 (e11) (e11))) = (op1 (e13) (e10)))) -> ((e10) = (op1 (e11) (e11))) -> ((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) -> False).
% 54.60/54.84 do 0 intro. intros zenon_H152 zenon_H13 zenon_H15.
% 54.60/54.84 cut (((op1 (e11) (e11)) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H14].
% 54.60/54.84 cut (((op1 (op1 (e11) (e11)) (op1 (e11) (e11))) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H153].
% 54.60/54.84 congruence.
% 54.60/54.84 apply zenon_H153. apply sym_equal. exact zenon_H15.
% 54.60/54.84 apply zenon_H14. apply sym_equal. exact zenon_H13.
% 54.60/54.84 (* end of lemma zenon_L62_ *)
% 54.60/54.84 assert (zenon_L63_ : (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> ((e12) = (op1 (op1 (op1 (e11) (e11)) (op1 (e11) (e11))) (op1 (e11) (e11)))) -> ((op1 (e11) (e10)) = (e12)) -> ((e10) = (op1 (e11) (e11))) -> ((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) -> False).
% 54.60/54.84 do 0 intro. intros zenon_H154 zenon_H155 zenon_H156 zenon_H13 zenon_H15.
% 54.60/54.84 cut (((e12) = (op1 (op1 (op1 (e11) (e11)) (op1 (e11) (e11))) (op1 (e11) (e11)))) = ((op1 (e11) (e10)) = (op1 (e13) (e10)))).
% 54.60/54.84 intro zenon_D_pnotp.
% 54.60/54.84 apply zenon_H154.
% 54.60/54.84 rewrite <- zenon_D_pnotp.
% 54.60/54.84 exact zenon_H155.
% 54.60/54.84 cut (((op1 (op1 (op1 (e11) (e11)) (op1 (e11) (e11))) (op1 (e11) (e11))) = (op1 (e13) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H152].
% 54.60/54.84 cut (((e12) = (op1 (e11) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H157].
% 54.60/54.84 congruence.
% 54.60/54.84 elim (classic ((op1 (e11) (e10)) = (op1 (e11) (e10)))); [ zenon_intro zenon_H14f | zenon_intro zenon_H150 ].
% 54.60/54.84 cut (((op1 (e11) (e10)) = (op1 (e11) (e10))) = ((e12) = (op1 (e11) (e10)))).
% 54.60/54.84 intro zenon_D_pnotp.
% 54.60/54.84 apply zenon_H157.
% 54.60/54.84 rewrite <- zenon_D_pnotp.
% 54.60/54.84 exact zenon_H14f.
% 54.60/54.84 cut (((op1 (e11) (e10)) = (op1 (e11) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H150].
% 54.60/54.84 cut (((op1 (e11) (e10)) = (e12))); [idtac | apply NNPP; zenon_intro zenon_H158].
% 54.60/54.84 congruence.
% 54.60/54.84 exact (zenon_H158 zenon_H156).
% 54.60/54.84 apply zenon_H150. apply refl_equal.
% 54.60/54.84 apply zenon_H150. apply refl_equal.
% 54.60/54.84 apply (zenon_L62_); trivial.
% 54.60/54.84 (* end of lemma zenon_L63_ *)
% 54.60/54.84 assert (zenon_L64_ : ((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) -> ((op1 (e11) (e10)) = (e13)) -> ((e10) = (op1 (e11) (e11))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> False).
% 54.60/54.84 do 0 intro. intros zenon_H15 zenon_H159 zenon_H13 zenon_H15a.
% 54.60/54.84 elim (classic ((op1 (e11) (e10)) = (op1 (e11) (e10)))); [ zenon_intro zenon_H14f | zenon_intro zenon_H150 ].
% 54.60/54.84 cut (((op1 (e11) (e10)) = (op1 (e11) (e10))) = ((op1 (e10) (e10)) = (op1 (e11) (e10)))).
% 54.60/54.84 intro zenon_D_pnotp.
% 54.60/54.84 apply zenon_H15a.
% 54.60/54.84 rewrite <- zenon_D_pnotp.
% 54.60/54.84 exact zenon_H14f.
% 54.60/54.84 cut (((op1 (e11) (e10)) = (op1 (e11) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H150].
% 54.60/54.84 cut (((op1 (e11) (e10)) = (op1 (e10) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H15b].
% 54.60/54.84 congruence.
% 54.60/54.84 cut (((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) = ((op1 (e11) (e10)) = (op1 (e10) (e10)))).
% 54.60/54.84 intro zenon_D_pnotp.
% 54.60/54.84 apply zenon_H15b.
% 54.60/54.84 rewrite <- zenon_D_pnotp.
% 54.60/54.84 exact zenon_H15.
% 54.60/54.84 cut (((op1 (op1 (e11) (e11)) (op1 (e11) (e11))) = (op1 (e10) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H12].
% 54.60/54.84 cut (((e13) = (op1 (e11) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H15c].
% 54.60/54.84 congruence.
% 54.60/54.84 elim (classic ((op1 (e11) (e10)) = (op1 (e11) (e10)))); [ zenon_intro zenon_H14f | zenon_intro zenon_H150 ].
% 54.60/54.84 cut (((op1 (e11) (e10)) = (op1 (e11) (e10))) = ((e13) = (op1 (e11) (e10)))).
% 54.60/54.84 intro zenon_D_pnotp.
% 54.60/54.84 apply zenon_H15c.
% 54.60/54.84 rewrite <- zenon_D_pnotp.
% 54.60/54.84 exact zenon_H14f.
% 54.60/54.84 cut (((op1 (e11) (e10)) = (op1 (e11) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H150].
% 54.60/54.84 cut (((op1 (e11) (e10)) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H15d].
% 54.60/54.84 congruence.
% 54.60/54.84 exact (zenon_H15d zenon_H159).
% 54.60/54.84 apply zenon_H150. apply refl_equal.
% 54.60/54.84 apply zenon_H150. apply refl_equal.
% 54.60/54.84 apply (zenon_L1_); trivial.
% 54.60/54.84 apply zenon_H150. apply refl_equal.
% 54.60/54.84 apply zenon_H150. apply refl_equal.
% 54.60/54.84 (* end of lemma zenon_L64_ *)
% 54.60/54.84 assert (zenon_L65_ : ((~((op1 (e11) (e10)) = (e11)))\/(~((op1 (e11) (e11)) = (e10)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> ((e10) = (op1 (e11) (e11))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> ((e12) = (op1 (op1 (op1 (e11) (e11)) (op1 (e11) (e11))) (op1 (e11) (e11)))) -> ((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e12))\/((op1 (e11) (e10)) = (e13))))) -> False).
% 54.60/54.84 do 0 intro. intros zenon_H15e zenon_H14b zenon_H13 zenon_H154 zenon_H155 zenon_H15 zenon_H15a zenon_H15f.
% 54.60/54.84 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_H160 | zenon_intro zenon_H14 ].
% 54.60/54.84 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_H14c | zenon_intro zenon_H161 ].
% 54.60/54.84 apply (zenon_L61_); trivial.
% 54.60/54.84 apply (zenon_or_s _ _ zenon_H161); [ zenon_intro zenon_H163 | zenon_intro zenon_H162 ].
% 54.60/54.84 exact (zenon_H160 zenon_H163).
% 54.60/54.84 apply (zenon_or_s _ _ zenon_H162); [ zenon_intro zenon_H156 | zenon_intro zenon_H159 ].
% 54.60/54.84 apply (zenon_L63_); trivial.
% 54.60/54.84 apply (zenon_L64_); trivial.
% 54.60/54.84 apply zenon_H14. apply sym_equal. exact zenon_H13.
% 54.60/54.84 (* end of lemma zenon_L65_ *)
% 54.60/54.84 assert (zenon_L66_ : (((op1 (e10) (e11)) = (e10))/\(((op1 (e11) (e10)) = (e10))/\(((~((op1 (e11) (e10)) = (e11)))\/(~((op1 (e11) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e11) (e12)) = (e11)))\/(~((op1 (e11) (e11)) = (e12))))/\((~((op1 (e11) (e13)) = (e11)))\/(~((op1 (e11) (e11)) = (e13))))))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> ((e10) = (op1 (e11) (e11))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> ((e12) = (op1 (op1 (op1 (e11) (e11)) (op1 (e11) (e11))) (op1 (e11) (e11)))) -> ((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e12))\/((op1 (e11) (e10)) = (e13))))) -> False).
% 54.60/54.84 do 0 intro. intros zenon_H164 zenon_H14b zenon_H13 zenon_H154 zenon_H155 zenon_H15 zenon_H15a zenon_H15f.
% 54.60/54.84 apply (zenon_and_s _ _ zenon_H164). zenon_intro zenon_H166. zenon_intro zenon_H165.
% 54.60/54.84 apply (zenon_and_s _ _ zenon_H165). zenon_intro zenon_H14c. zenon_intro zenon_H167.
% 54.60/54.84 apply (zenon_and_s _ _ zenon_H167). zenon_intro zenon_H15e. zenon_intro zenon_H168.
% 54.60/54.84 apply (zenon_L65_); trivial.
% 54.60/54.84 (* end of lemma zenon_L66_ *)
% 54.60/54.84 assert (zenon_L67_ : (~((e10) = (e10))) -> False).
% 54.60/54.84 do 0 intro. intros zenon_H169.
% 54.60/54.84 apply zenon_H169. apply refl_equal.
% 54.60/54.84 (* end of lemma zenon_L67_ *)
% 54.60/54.84 assert (zenon_L68_ : ((op1 (e13) (e10)) = (e10)) -> ((op1 (e13) (e10)) = (e12)) -> (~((e10) = (e12))) -> False).
% 54.60/54.84 do 0 intro. intros zenon_H16a zenon_H16b zenon_H16c.
% 54.60/54.84 elim (classic ((e12) = (e12))); [ zenon_intro zenon_H16d | zenon_intro zenon_H16e ].
% 54.60/54.84 cut (((e12) = (e12)) = ((e10) = (e12))).
% 54.60/54.84 intro zenon_D_pnotp.
% 54.60/54.84 apply zenon_H16c.
% 54.60/54.84 rewrite <- zenon_D_pnotp.
% 54.60/54.84 exact zenon_H16d.
% 54.60/54.84 cut (((e12) = (e12))); [idtac | apply NNPP; zenon_intro zenon_H16e].
% 54.60/54.84 cut (((e12) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H16f].
% 54.60/54.84 congruence.
% 54.60/54.84 cut (((op1 (e13) (e10)) = (e10)) = ((e12) = (e10))).
% 54.60/54.84 intro zenon_D_pnotp.
% 54.60/54.84 apply zenon_H16f.
% 54.60/54.84 rewrite <- zenon_D_pnotp.
% 54.60/54.84 exact zenon_H16a.
% 54.60/54.84 cut (((e10) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H169].
% 54.60/54.84 cut (((op1 (e13) (e10)) = (e12))); [idtac | apply NNPP; zenon_intro zenon_H170].
% 54.60/54.84 congruence.
% 54.60/54.84 exact (zenon_H170 zenon_H16b).
% 54.60/54.84 apply zenon_H169. apply refl_equal.
% 54.60/54.84 apply zenon_H16e. apply refl_equal.
% 54.60/54.84 apply zenon_H16e. apply refl_equal.
% 54.60/54.84 (* end of lemma zenon_L68_ *)
% 54.60/54.84 assert (zenon_L69_ : ((e12) = (op1 (op1 (op1 (e11) (e11)) (op1 (e11) (e11))) (op1 (e11) (e11)))) -> ((op1 (e13) (e11)) = (e12)) -> ((e10) = (op1 (e11) (e11))) -> ((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> False).
% 54.60/54.84 do 0 intro. intros zenon_H155 zenon_H171 zenon_H13 zenon_H15 zenon_H172.
% 54.60/54.84 elim (classic ((op1 (e13) (e11)) = (op1 (e13) (e11)))); [ zenon_intro zenon_H173 | zenon_intro zenon_H174 ].
% 54.60/54.84 cut (((op1 (e13) (e11)) = (op1 (e13) (e11))) = ((op1 (e13) (e10)) = (op1 (e13) (e11)))).
% 54.60/54.84 intro zenon_D_pnotp.
% 54.60/54.84 apply zenon_H172.
% 54.60/54.84 rewrite <- zenon_D_pnotp.
% 54.60/54.84 exact zenon_H173.
% 54.60/54.84 cut (((op1 (e13) (e11)) = (op1 (e13) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H174].
% 54.60/54.84 cut (((op1 (e13) (e11)) = (op1 (e13) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H175].
% 54.60/54.84 congruence.
% 54.60/54.84 cut (((e12) = (op1 (op1 (op1 (e11) (e11)) (op1 (e11) (e11))) (op1 (e11) (e11)))) = ((op1 (e13) (e11)) = (op1 (e13) (e10)))).
% 54.60/54.84 intro zenon_D_pnotp.
% 54.60/54.84 apply zenon_H175.
% 54.60/54.84 rewrite <- zenon_D_pnotp.
% 54.60/54.84 exact zenon_H155.
% 54.60/54.84 cut (((op1 (op1 (op1 (e11) (e11)) (op1 (e11) (e11))) (op1 (e11) (e11))) = (op1 (e13) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H152].
% 54.60/54.84 cut (((e12) = (op1 (e13) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H176].
% 54.60/54.84 congruence.
% 54.60/54.84 elim (classic ((op1 (e13) (e11)) = (op1 (e13) (e11)))); [ zenon_intro zenon_H173 | zenon_intro zenon_H174 ].
% 54.60/54.84 cut (((op1 (e13) (e11)) = (op1 (e13) (e11))) = ((e12) = (op1 (e13) (e11)))).
% 54.60/54.84 intro zenon_D_pnotp.
% 54.60/54.84 apply zenon_H176.
% 54.60/54.84 rewrite <- zenon_D_pnotp.
% 54.60/54.84 exact zenon_H173.
% 54.60/54.84 cut (((op1 (e13) (e11)) = (op1 (e13) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H174].
% 54.60/54.84 cut (((op1 (e13) (e11)) = (e12))); [idtac | apply NNPP; zenon_intro zenon_H177].
% 54.60/54.84 congruence.
% 54.60/54.84 exact (zenon_H177 zenon_H171).
% 54.60/54.84 apply zenon_H174. apply refl_equal.
% 54.60/54.84 apply zenon_H174. apply refl_equal.
% 54.60/54.84 apply (zenon_L62_); trivial.
% 54.60/54.84 apply zenon_H174. apply refl_equal.
% 54.60/54.84 apply zenon_H174. apply refl_equal.
% 54.60/54.84 (* end of lemma zenon_L69_ *)
% 54.60/54.84 assert (zenon_L70_ : ((e12) = (op1 (op1 (op1 (e11) (e11)) (op1 (e11) (e11))) (op1 (e11) (e11)))) -> ((op1 (e13) (e12)) = (e12)) -> ((e10) = (op1 (e11) (e11))) -> ((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> False).
% 54.60/54.84 do 0 intro. intros zenon_H155 zenon_H178 zenon_H13 zenon_H15 zenon_H179.
% 54.60/54.84 elim (classic ((op1 (e13) (e12)) = (op1 (e13) (e12)))); [ zenon_intro zenon_H17a | zenon_intro zenon_H17b ].
% 54.60/54.84 cut (((op1 (e13) (e12)) = (op1 (e13) (e12))) = ((op1 (e13) (e10)) = (op1 (e13) (e12)))).
% 54.60/54.84 intro zenon_D_pnotp.
% 54.60/54.84 apply zenon_H179.
% 54.60/54.84 rewrite <- zenon_D_pnotp.
% 54.60/54.84 exact zenon_H17a.
% 54.60/54.84 cut (((op1 (e13) (e12)) = (op1 (e13) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H17b].
% 54.60/54.84 cut (((op1 (e13) (e12)) = (op1 (e13) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H17c].
% 54.60/54.84 congruence.
% 54.60/54.84 cut (((e12) = (op1 (op1 (op1 (e11) (e11)) (op1 (e11) (e11))) (op1 (e11) (e11)))) = ((op1 (e13) (e12)) = (op1 (e13) (e10)))).
% 54.60/54.84 intro zenon_D_pnotp.
% 54.60/54.84 apply zenon_H17c.
% 54.60/54.84 rewrite <- zenon_D_pnotp.
% 54.60/54.84 exact zenon_H155.
% 54.60/54.84 cut (((op1 (op1 (op1 (e11) (e11)) (op1 (e11) (e11))) (op1 (e11) (e11))) = (op1 (e13) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H152].
% 54.60/54.84 cut (((e12) = (op1 (e13) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H17d].
% 54.60/54.84 congruence.
% 54.60/54.84 elim (classic ((op1 (e13) (e12)) = (op1 (e13) (e12)))); [ zenon_intro zenon_H17a | zenon_intro zenon_H17b ].
% 54.60/54.84 cut (((op1 (e13) (e12)) = (op1 (e13) (e12))) = ((e12) = (op1 (e13) (e12)))).
% 54.60/54.84 intro zenon_D_pnotp.
% 54.60/54.84 apply zenon_H17d.
% 54.60/54.84 rewrite <- zenon_D_pnotp.
% 54.60/54.84 exact zenon_H17a.
% 54.60/54.84 cut (((op1 (e13) (e12)) = (op1 (e13) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H17b].
% 54.60/54.84 cut (((op1 (e13) (e12)) = (e12))); [idtac | apply NNPP; zenon_intro zenon_H17e].
% 54.60/54.84 congruence.
% 54.60/54.84 exact (zenon_H17e zenon_H178).
% 54.60/54.84 apply zenon_H17b. apply refl_equal.
% 54.60/54.84 apply zenon_H17b. apply refl_equal.
% 54.60/54.84 apply (zenon_L62_); trivial.
% 54.60/54.84 apply zenon_H17b. apply refl_equal.
% 54.60/54.84 apply zenon_H17b. apply refl_equal.
% 54.60/54.84 (* end of lemma zenon_L70_ *)
% 54.60/54.84 assert (zenon_L71_ : ((e12) = (op1 (op1 (op1 (e11) (e11)) (op1 (e11) (e11))) (op1 (e11) (e11)))) -> ((op1 (e13) (e13)) = (e12)) -> ((e10) = (op1 (e11) (e11))) -> ((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> False).
% 54.60/54.84 do 0 intro. intros zenon_H155 zenon_H17f zenon_H13 zenon_H15 zenon_H180.
% 54.60/54.84 elim (classic ((op1 (e13) (e13)) = (op1 (e13) (e13)))); [ zenon_intro zenon_H181 | zenon_intro zenon_H182 ].
% 54.60/54.84 cut (((op1 (e13) (e13)) = (op1 (e13) (e13))) = ((op1 (e13) (e10)) = (op1 (e13) (e13)))).
% 54.60/54.84 intro zenon_D_pnotp.
% 54.60/54.84 apply zenon_H180.
% 54.60/54.84 rewrite <- zenon_D_pnotp.
% 54.60/54.84 exact zenon_H181.
% 54.60/54.84 cut (((op1 (e13) (e13)) = (op1 (e13) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H182].
% 54.60/54.84 cut (((op1 (e13) (e13)) = (op1 (e13) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H183].
% 54.60/54.84 congruence.
% 54.60/54.84 cut (((e12) = (op1 (op1 (op1 (e11) (e11)) (op1 (e11) (e11))) (op1 (e11) (e11)))) = ((op1 (e13) (e13)) = (op1 (e13) (e10)))).
% 54.60/54.84 intro zenon_D_pnotp.
% 54.60/54.84 apply zenon_H183.
% 54.60/54.84 rewrite <- zenon_D_pnotp.
% 54.60/54.84 exact zenon_H155.
% 54.60/54.84 cut (((op1 (op1 (op1 (e11) (e11)) (op1 (e11) (e11))) (op1 (e11) (e11))) = (op1 (e13) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H152].
% 54.60/54.84 cut (((e12) = (op1 (e13) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H184].
% 54.60/54.84 congruence.
% 54.60/54.84 elim (classic ((op1 (e13) (e13)) = (op1 (e13) (e13)))); [ zenon_intro zenon_H181 | zenon_intro zenon_H182 ].
% 54.60/54.84 cut (((op1 (e13) (e13)) = (op1 (e13) (e13))) = ((e12) = (op1 (e13) (e13)))).
% 54.60/54.84 intro zenon_D_pnotp.
% 54.60/54.84 apply zenon_H184.
% 54.60/54.84 rewrite <- zenon_D_pnotp.
% 54.60/54.84 exact zenon_H181.
% 54.60/54.84 cut (((op1 (e13) (e13)) = (op1 (e13) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H182].
% 54.60/54.84 cut (((op1 (e13) (e13)) = (e12))); [idtac | apply NNPP; zenon_intro zenon_H185].
% 54.60/54.84 congruence.
% 54.60/54.84 exact (zenon_H185 zenon_H17f).
% 54.60/54.84 apply zenon_H182. apply refl_equal.
% 54.60/54.84 apply zenon_H182. apply refl_equal.
% 54.60/54.84 apply (zenon_L62_); trivial.
% 54.60/54.84 apply zenon_H182. apply refl_equal.
% 54.60/54.84 apply zenon_H182. apply refl_equal.
% 54.60/54.84 (* end of lemma zenon_L71_ *)
% 54.60/54.84 assert (zenon_L72_ : (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((e10) = (e12))) -> ((op1 (e13) (e10)) = (e10)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> ((e12) = (op1 (op1 (op1 (e11) (e11)) (op1 (e11) (e11))) (op1 (e11) (e11)))) -> ((e10) = (op1 (e11) (e11))) -> ((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> False).
% 54.60/54.84 do 0 intro. intros zenon_H186 zenon_H16c zenon_H16a zenon_H172 zenon_H179 zenon_H155 zenon_H13 zenon_H15 zenon_H180.
% 54.60/54.84 apply (zenon_or_s _ _ zenon_H186); [ zenon_intro zenon_H16b | zenon_intro zenon_H187 ].
% 54.60/54.84 apply (zenon_L68_); trivial.
% 54.60/54.84 apply (zenon_or_s _ _ zenon_H187); [ zenon_intro zenon_H171 | zenon_intro zenon_H188 ].
% 54.60/54.84 apply (zenon_L69_); trivial.
% 54.60/54.84 apply (zenon_or_s _ _ zenon_H188); [ zenon_intro zenon_H178 | zenon_intro zenon_H17f ].
% 54.60/54.84 apply (zenon_L70_); trivial.
% 54.60/54.84 apply (zenon_L71_); trivial.
% 54.60/54.84 (* end of lemma zenon_L72_ *)
% 54.60/54.84 assert (zenon_L73_ : ((e10) = (op1 (e11) (e11))) -> ((op1 (e13) (e11)) = (e10)) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> False).
% 54.60/54.84 do 0 intro. intros zenon_H13 zenon_H189 zenon_H18a.
% 54.60/54.84 elim (classic ((op1 (e13) (e11)) = (op1 (e13) (e11)))); [ zenon_intro zenon_H173 | zenon_intro zenon_H174 ].
% 54.60/54.84 cut (((op1 (e13) (e11)) = (op1 (e13) (e11))) = ((op1 (e11) (e11)) = (op1 (e13) (e11)))).
% 54.60/54.84 intro zenon_D_pnotp.
% 54.60/54.84 apply zenon_H18a.
% 54.60/54.84 rewrite <- zenon_D_pnotp.
% 54.60/54.84 exact zenon_H173.
% 54.60/54.84 cut (((op1 (e13) (e11)) = (op1 (e13) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H174].
% 54.60/54.84 cut (((op1 (e13) (e11)) = (op1 (e11) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H18b].
% 54.60/54.84 congruence.
% 54.60/54.84 cut (((e10) = (op1 (e11) (e11))) = ((op1 (e13) (e11)) = (op1 (e11) (e11)))).
% 54.60/54.84 intro zenon_D_pnotp.
% 54.60/54.84 apply zenon_H18b.
% 54.60/54.84 rewrite <- zenon_D_pnotp.
% 54.60/54.84 exact zenon_H13.
% 54.60/54.84 cut (((op1 (e11) (e11)) = (op1 (e11) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H14d].
% 54.60/54.84 cut (((e10) = (op1 (e13) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H18c].
% 54.60/54.84 congruence.
% 54.60/54.84 elim (classic ((op1 (e13) (e11)) = (op1 (e13) (e11)))); [ zenon_intro zenon_H173 | zenon_intro zenon_H174 ].
% 54.60/54.84 cut (((op1 (e13) (e11)) = (op1 (e13) (e11))) = ((e10) = (op1 (e13) (e11)))).
% 54.60/54.84 intro zenon_D_pnotp.
% 54.60/54.84 apply zenon_H18c.
% 54.60/54.84 rewrite <- zenon_D_pnotp.
% 54.60/54.84 exact zenon_H173.
% 54.60/54.84 cut (((op1 (e13) (e11)) = (op1 (e13) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H174].
% 54.60/54.84 cut (((op1 (e13) (e11)) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H18d].
% 54.60/54.84 congruence.
% 54.60/54.84 exact (zenon_H18d zenon_H189).
% 54.60/54.84 apply zenon_H174. apply refl_equal.
% 54.60/54.84 apply zenon_H174. apply refl_equal.
% 54.60/54.84 apply zenon_H14d. apply refl_equal.
% 54.60/54.84 apply zenon_H174. apply refl_equal.
% 54.60/54.84 apply zenon_H174. apply refl_equal.
% 54.60/54.84 (* end of lemma zenon_L73_ *)
% 54.60/54.84 assert (zenon_L74_ : (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e10) (e12)) = (e10)) -> ((op1 (e13) (e12)) = (e10)) -> False).
% 54.60/54.84 do 0 intro. intros zenon_H18e zenon_H18f zenon_H190.
% 54.60/54.84 cut (((op1 (e10) (e12)) = (e10)) = ((op1 (e10) (e12)) = (op1 (e13) (e12)))).
% 54.60/54.84 intro zenon_D_pnotp.
% 54.60/54.84 apply zenon_H18e.
% 54.60/54.84 rewrite <- zenon_D_pnotp.
% 54.60/54.84 exact zenon_H18f.
% 54.60/54.84 cut (((e10) = (op1 (e13) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H191].
% 54.60/54.84 cut (((op1 (e10) (e12)) = (op1 (e10) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H20].
% 54.60/54.84 congruence.
% 54.60/54.84 apply zenon_H20. apply refl_equal.
% 54.60/54.84 apply zenon_H191. apply sym_equal. exact zenon_H190.
% 54.60/54.84 (* end of lemma zenon_L74_ *)
% 54.60/54.84 assert (zenon_L75_ : (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> ((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) -> ((e12) = (op1 (op1 (op1 (e11) (e11)) (op1 (e11) (e11))) (op1 (e11) (e11)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((e10) = (e12))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> ((e10) = (op1 (e11) (e11))) -> ((op1 (e10) (e12)) = (e10)) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e13)) = (e10))) -> False).
% 54.60/54.84 do 0 intro. intros zenon_H192 zenon_H180 zenon_H15 zenon_H155 zenon_H179 zenon_H172 zenon_H16c zenon_H186 zenon_H18a zenon_H13 zenon_H18f zenon_H18e zenon_H193.
% 54.60/54.84 apply (zenon_or_s _ _ zenon_H192); [ zenon_intro zenon_H16a | zenon_intro zenon_H194 ].
% 54.60/54.84 apply (zenon_L72_); trivial.
% 54.60/54.84 apply (zenon_or_s _ _ zenon_H194); [ zenon_intro zenon_H189 | zenon_intro zenon_H195 ].
% 54.60/54.84 apply (zenon_L73_); trivial.
% 54.60/54.84 apply (zenon_or_s _ _ zenon_H195); [ zenon_intro zenon_H190 | zenon_intro zenon_H196 ].
% 54.60/54.84 apply (zenon_L74_); trivial.
% 54.60/54.84 exact (zenon_H193 zenon_H196).
% 54.60/54.84 (* end of lemma zenon_L75_ *)
% 54.60/54.84 assert (zenon_L76_ : (((op1 (e10) (e12)) = (e10))/\(((op1 (e12) (e10)) = (e10))/\(((~((op1 (e12) (e10)) = (e12)))\/(~((op1 (e12) (e12)) = (e10))))/\(((~((op1 (e12) (e11)) = (e12)))\/(~((op1 (e12) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13))))))))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> ((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) -> ((e12) = (op1 (op1 (op1 (e11) (e11)) (op1 (e11) (e11))) (op1 (e11) (e11)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((e10) = (e12))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> ((e10) = (op1 (e11) (e11))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e13)) = (e10))) -> False).
% 54.60/54.84 do 0 intro. intros zenon_H197 zenon_H192 zenon_H180 zenon_H15 zenon_H155 zenon_H179 zenon_H172 zenon_H16c zenon_H186 zenon_H18a zenon_H13 zenon_H18e zenon_H193.
% 54.60/54.84 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_H18f. zenon_intro zenon_H198.
% 54.60/54.84 apply (zenon_L75_); trivial.
% 54.60/54.84 (* end of lemma zenon_L76_ *)
% 54.60/54.84 assert (zenon_L77_ : (((op1 (e10) (e13)) = (e10))/\(((op1 (e13) (e10)) = (e10))/\(((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e13) (e13)) = (e10))))/\(((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11))))/\(((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e13) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13))))))))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((e10) = (e12))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> ((e12) = (op1 (op1 (op1 (e11) (e11)) (op1 (e11) (e11))) (op1 (e11) (e11)))) -> ((e10) = (op1 (e11) (e11))) -> ((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> False).
% 54.60/54.84 do 0 intro. intros zenon_H199 zenon_H186 zenon_H16c zenon_H172 zenon_H179 zenon_H155 zenon_H13 zenon_H15 zenon_H180.
% 54.60/54.84 apply (zenon_and_s _ _ zenon_H199). zenon_intro zenon_H19b. zenon_intro zenon_H19a.
% 54.60/54.84 apply (zenon_and_s _ _ zenon_H19a). zenon_intro zenon_H16a. zenon_intro zenon_H19c.
% 54.60/54.84 apply (zenon_L72_); trivial.
% 54.60/54.84 (* end of lemma zenon_L77_ *)
% 54.60/54.84 assert (zenon_L78_ : (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> ((e10) = (op1 (e11) (e11))) -> ((op1 (e10) (e11)) = (e10)) -> False).
% 54.60/54.84 do 0 intro. intros zenon_H19d zenon_H13 zenon_H166.
% 54.60/54.84 cut (((e10) = (op1 (e11) (e11))) = ((op1 (e10) (e11)) = (op1 (e11) (e11)))).
% 54.60/54.84 intro zenon_D_pnotp.
% 54.60/54.84 apply zenon_H19d.
% 54.60/54.84 rewrite <- zenon_D_pnotp.
% 54.60/54.84 exact zenon_H13.
% 54.60/54.84 cut (((op1 (e11) (e11)) = (op1 (e11) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H14d].
% 54.60/54.84 cut (((e10) = (op1 (e10) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H19e].
% 54.60/54.84 congruence.
% 54.60/54.84 elim (classic ((op1 (e10) (e11)) = (op1 (e10) (e11)))); [ zenon_intro zenon_H18 | zenon_intro zenon_H19 ].
% 54.60/54.84 cut (((op1 (e10) (e11)) = (op1 (e10) (e11))) = ((e10) = (op1 (e10) (e11)))).
% 54.60/54.84 intro zenon_D_pnotp.
% 54.60/54.84 apply zenon_H19e.
% 54.60/54.84 rewrite <- zenon_D_pnotp.
% 54.60/54.84 exact zenon_H18.
% 54.60/54.84 cut (((op1 (e10) (e11)) = (op1 (e10) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H19].
% 54.60/54.84 cut (((op1 (e10) (e11)) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H19f].
% 54.60/54.84 congruence.
% 54.60/54.84 exact (zenon_H19f zenon_H166).
% 54.60/54.84 apply zenon_H19. apply refl_equal.
% 54.60/54.84 apply zenon_H19. apply refl_equal.
% 54.60/54.84 apply zenon_H14d. apply refl_equal.
% 54.60/54.84 (* end of lemma zenon_L78_ *)
% 54.60/54.84 assert (zenon_L79_ : (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (e13))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> ((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) -> ((e10) = (op1 (e11) (e11))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> False).
% 54.60/54.84 do 0 intro. intros zenon_H1a0 zenon_H1a1 zenon_H17 zenon_H1e zenon_H15 zenon_H13 zenon_H25.
% 54.60/54.84 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_H1a3 | zenon_intro zenon_H1a2 ].
% 54.60/54.84 exact (zenon_H1a1 zenon_H1a3).
% 54.60/54.84 apply (zenon_or_s _ _ zenon_H1a2); [ zenon_intro zenon_H16 | zenon_intro zenon_H1a4 ].
% 54.60/54.84 apply (zenon_L2_); trivial.
% 54.60/54.84 apply (zenon_or_s _ _ zenon_H1a4); [ zenon_intro zenon_H1d | zenon_intro zenon_H24 ].
% 54.60/54.84 apply (zenon_L3_); trivial.
% 54.60/54.84 apply (zenon_L4_); trivial.
% 54.60/54.84 (* end of lemma zenon_L79_ *)
% 54.60/54.84 assert (zenon_L80_ : (((op1 (e11) (e11)) = (e11))/\(((op1 (e11) (e11)) = (e11))/\(((~((op1 (e11) (e10)) = (e11)))\/(~((op1 (e11) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e11) (e12)) = (e11)))\/(~((op1 (e11) (e11)) = (e12))))/\((~((op1 (e11) (e13)) = (e11)))\/(~((op1 (e11) (e11)) = (e13))))))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> ((e10) = (op1 (e11) (e11))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> ((e12) = (op1 (op1 (op1 (e11) (e11)) (op1 (e11) (e11))) (op1 (e11) (e11)))) -> ((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e12))\/((op1 (e11) (e10)) = (e13))))) -> False).
% 54.60/54.84 do 0 intro. intros zenon_H1a5 zenon_H14b zenon_H13 zenon_H154 zenon_H155 zenon_H15 zenon_H15a zenon_H15f.
% 54.60/54.84 apply (zenon_and_s _ _ zenon_H1a5). zenon_intro zenon_H1a7. zenon_intro zenon_H1a6.
% 54.60/54.84 apply (zenon_and_s _ _ zenon_H1a6). zenon_intro zenon_H1a7. zenon_intro zenon_H167.
% 54.60/54.84 apply (zenon_and_s _ _ zenon_H167). zenon_intro zenon_H15e. zenon_intro zenon_H168.
% 54.60/54.84 apply (zenon_L65_); trivial.
% 54.60/54.84 (* end of lemma zenon_L80_ *)
% 54.60/54.84 assert (zenon_L81_ : ((op1 (e11) (e12)) = (e11)) -> ((op1 (e11) (e10)) = (e11)) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> False).
% 54.60/54.84 do 0 intro. intros zenon_H1a8 zenon_H163 zenon_H1a9.
% 54.60/54.84 elim (classic ((op1 (e11) (e12)) = (op1 (e11) (e12)))); [ zenon_intro zenon_H1aa | zenon_intro zenon_H1ab ].
% 54.60/54.84 cut (((op1 (e11) (e12)) = (op1 (e11) (e12))) = ((op1 (e11) (e10)) = (op1 (e11) (e12)))).
% 54.60/54.84 intro zenon_D_pnotp.
% 54.60/54.84 apply zenon_H1a9.
% 54.60/54.84 rewrite <- zenon_D_pnotp.
% 54.60/54.84 exact zenon_H1aa.
% 54.60/54.84 cut (((op1 (e11) (e12)) = (op1 (e11) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H1ab].
% 54.60/54.84 cut (((op1 (e11) (e12)) = (op1 (e11) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H1ac].
% 54.60/54.84 congruence.
% 54.60/54.84 cut (((op1 (e11) (e12)) = (e11)) = ((op1 (e11) (e12)) = (op1 (e11) (e10)))).
% 54.60/54.84 intro zenon_D_pnotp.
% 54.60/54.84 apply zenon_H1ac.
% 54.60/54.84 rewrite <- zenon_D_pnotp.
% 54.60/54.84 exact zenon_H1a8.
% 54.60/54.84 cut (((e11) = (op1 (e11) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H1ad].
% 54.60/54.84 cut (((op1 (e11) (e12)) = (op1 (e11) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H1ab].
% 54.60/54.84 congruence.
% 54.60/54.84 apply zenon_H1ab. apply refl_equal.
% 54.60/54.84 apply zenon_H1ad. apply sym_equal. exact zenon_H163.
% 54.60/54.84 apply zenon_H1ab. apply refl_equal.
% 54.60/54.84 apply zenon_H1ab. apply refl_equal.
% 54.60/54.84 (* end of lemma zenon_L81_ *)
% 54.60/54.84 assert (zenon_L82_ : (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e12))\/((op1 (e11) (e10)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> ((op1 (e11) (e12)) = (e11)) -> ((e12) = (op1 (op1 (op1 (e11) (e11)) (op1 (e11) (e11))) (op1 (e11) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> ((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) -> ((e10) = (op1 (e11) (e11))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> False).
% 54.60/54.84 do 0 intro. intros zenon_H15f zenon_H14b zenon_H1a9 zenon_H1a8 zenon_H155 zenon_H154 zenon_H15 zenon_H13 zenon_H15a.
% 54.60/54.84 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_H14c | zenon_intro zenon_H161 ].
% 54.60/54.84 apply (zenon_L61_); trivial.
% 54.60/54.84 apply (zenon_or_s _ _ zenon_H161); [ zenon_intro zenon_H163 | zenon_intro zenon_H162 ].
% 54.60/54.84 apply (zenon_L81_); trivial.
% 54.60/54.84 apply (zenon_or_s _ _ zenon_H162); [ zenon_intro zenon_H156 | zenon_intro zenon_H159 ].
% 54.60/54.84 apply (zenon_L63_); trivial.
% 54.60/54.84 apply (zenon_L64_); trivial.
% 54.60/54.84 (* end of lemma zenon_L82_ *)
% 54.60/54.84 assert (zenon_L83_ : (((op1 (e11) (e12)) = (e11))/\(((op1 (e12) (e11)) = (e11))/\(((~((op1 (e12) (e10)) = (e12)))\/(~((op1 (e12) (e12)) = (e10))))/\(((~((op1 (e12) (e11)) = (e12)))\/(~((op1 (e12) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13))))))))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e12))\/((op1 (e11) (e10)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> ((e12) = (op1 (op1 (op1 (e11) (e11)) (op1 (e11) (e11))) (op1 (e11) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> ((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) -> ((e10) = (op1 (e11) (e11))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> False).
% 54.60/54.84 do 0 intro. intros zenon_H1ae zenon_H15f zenon_H14b zenon_H1a9 zenon_H155 zenon_H154 zenon_H15 zenon_H13 zenon_H15a.
% 54.60/54.84 apply (zenon_and_s _ _ zenon_H1ae). zenon_intro zenon_H1a8. zenon_intro zenon_H1af.
% 54.60/54.84 apply (zenon_L82_); trivial.
% 54.60/54.84 (* end of lemma zenon_L83_ *)
% 54.60/54.84 assert (zenon_L84_ : ((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) -> ((op1 (e13) (e10)) = (e13)) -> ((e10) = (op1 (e11) (e11))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> False).
% 54.60/54.84 do 0 intro. intros zenon_H15 zenon_H1b0 zenon_H13 zenon_H1b1.
% 54.60/54.84 elim (classic ((op1 (e13) (e10)) = (op1 (e13) (e10)))); [ zenon_intro zenon_H1b2 | zenon_intro zenon_H1b3 ].
% 54.60/54.84 cut (((op1 (e13) (e10)) = (op1 (e13) (e10))) = ((op1 (e10) (e10)) = (op1 (e13) (e10)))).
% 54.60/54.84 intro zenon_D_pnotp.
% 54.60/54.84 apply zenon_H1b1.
% 54.60/54.84 rewrite <- zenon_D_pnotp.
% 54.60/54.84 exact zenon_H1b2.
% 54.60/54.84 cut (((op1 (e13) (e10)) = (op1 (e13) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H1b3].
% 54.60/54.84 cut (((op1 (e13) (e10)) = (op1 (e10) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H1b4].
% 54.60/54.84 congruence.
% 54.60/54.84 cut (((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) = ((op1 (e13) (e10)) = (op1 (e10) (e10)))).
% 54.60/54.84 intro zenon_D_pnotp.
% 54.60/54.84 apply zenon_H1b4.
% 54.60/54.84 rewrite <- zenon_D_pnotp.
% 54.60/54.84 exact zenon_H15.
% 54.60/54.84 cut (((op1 (op1 (e11) (e11)) (op1 (e11) (e11))) = (op1 (e10) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H12].
% 54.60/54.84 cut (((e13) = (op1 (e13) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H1b5].
% 54.60/54.84 congruence.
% 54.60/54.84 elim (classic ((op1 (e13) (e10)) = (op1 (e13) (e10)))); [ zenon_intro zenon_H1b2 | zenon_intro zenon_H1b3 ].
% 54.60/54.84 cut (((op1 (e13) (e10)) = (op1 (e13) (e10))) = ((e13) = (op1 (e13) (e10)))).
% 54.60/54.84 intro zenon_D_pnotp.
% 54.60/54.84 apply zenon_H1b5.
% 54.60/54.84 rewrite <- zenon_D_pnotp.
% 54.60/54.84 exact zenon_H1b2.
% 54.60/54.84 cut (((op1 (e13) (e10)) = (op1 (e13) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H1b3].
% 54.60/54.84 cut (((op1 (e13) (e10)) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H1b6].
% 54.60/54.84 congruence.
% 54.60/54.84 exact (zenon_H1b6 zenon_H1b0).
% 54.60/54.84 apply zenon_H1b3. apply refl_equal.
% 54.60/54.84 apply zenon_H1b3. apply refl_equal.
% 54.60/54.84 apply (zenon_L1_); trivial.
% 54.60/54.84 apply zenon_H1b3. apply refl_equal.
% 54.60/54.84 apply zenon_H1b3. apply refl_equal.
% 54.60/54.84 (* end of lemma zenon_L84_ *)
% 54.60/54.84 assert (zenon_L85_ : (~((op1 (op1 (e11) (e11)) (op1 (e11) (e11))) = (op1 (e10) (e12)))) -> ((op1 (e11) (e11)) = (e12)) -> ((e10) = (op1 (e11) (e11))) -> False).
% 54.60/54.84 do 0 intro. intros zenon_H1b7 zenon_H1b8 zenon_H13.
% 54.60/54.84 cut (((op1 (e11) (e11)) = (e12))); [idtac | apply NNPP; zenon_intro zenon_H1b9].
% 54.60/54.84 cut (((op1 (e11) (e11)) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H14].
% 54.60/54.84 congruence.
% 54.60/54.84 apply zenon_H14. apply sym_equal. exact zenon_H13.
% 54.60/54.84 exact (zenon_H1b9 zenon_H1b8).
% 54.60/54.84 (* end of lemma zenon_L85_ *)
% 54.60/54.84 assert (zenon_L86_ : ((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) -> ((op1 (e13) (e12)) = (e13)) -> ((op1 (e11) (e11)) = (e12)) -> ((e10) = (op1 (e11) (e11))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> False).
% 54.60/54.84 do 0 intro. intros zenon_H15 zenon_H1ba zenon_H1b8 zenon_H13 zenon_H18e.
% 54.60/54.84 elim (classic ((op1 (e13) (e12)) = (op1 (e13) (e12)))); [ zenon_intro zenon_H17a | zenon_intro zenon_H17b ].
% 54.60/54.84 cut (((op1 (e13) (e12)) = (op1 (e13) (e12))) = ((op1 (e10) (e12)) = (op1 (e13) (e12)))).
% 54.60/54.84 intro zenon_D_pnotp.
% 54.60/54.84 apply zenon_H18e.
% 54.60/54.84 rewrite <- zenon_D_pnotp.
% 54.60/54.84 exact zenon_H17a.
% 54.60/54.84 cut (((op1 (e13) (e12)) = (op1 (e13) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H17b].
% 54.60/54.84 cut (((op1 (e13) (e12)) = (op1 (e10) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H1bb].
% 54.60/54.84 congruence.
% 54.60/54.84 cut (((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) = ((op1 (e13) (e12)) = (op1 (e10) (e12)))).
% 54.60/54.84 intro zenon_D_pnotp.
% 54.60/54.84 apply zenon_H1bb.
% 54.60/54.84 rewrite <- zenon_D_pnotp.
% 54.60/54.84 exact zenon_H15.
% 54.60/54.84 cut (((op1 (op1 (e11) (e11)) (op1 (e11) (e11))) = (op1 (e10) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H1b7].
% 54.60/54.84 cut (((e13) = (op1 (e13) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H1bc].
% 54.60/54.84 congruence.
% 54.60/54.84 elim (classic ((op1 (e13) (e12)) = (op1 (e13) (e12)))); [ zenon_intro zenon_H17a | zenon_intro zenon_H17b ].
% 54.60/54.84 cut (((op1 (e13) (e12)) = (op1 (e13) (e12))) = ((e13) = (op1 (e13) (e12)))).
% 54.60/54.84 intro zenon_D_pnotp.
% 54.60/54.84 apply zenon_H1bc.
% 54.60/54.84 rewrite <- zenon_D_pnotp.
% 54.60/54.84 exact zenon_H17a.
% 54.60/54.84 cut (((op1 (e13) (e12)) = (op1 (e13) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H17b].
% 54.60/54.84 cut (((op1 (e13) (e12)) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H1bd].
% 54.60/54.84 congruence.
% 54.60/54.84 exact (zenon_H1bd zenon_H1ba).
% 54.60/54.84 apply zenon_H17b. apply refl_equal.
% 54.60/54.84 apply zenon_H17b. apply refl_equal.
% 54.60/54.84 apply (zenon_L85_); trivial.
% 54.60/54.84 apply zenon_H17b. apply refl_equal.
% 54.60/54.84 apply zenon_H17b. apply refl_equal.
% 54.60/54.84 (* end of lemma zenon_L86_ *)
% 54.60/54.84 assert (zenon_L87_ : (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e13) (e11)) = (e13))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> ((e10) = (op1 (e11) (e11))) -> ((op1 (e11) (e11)) = (e12)) -> ((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) -> (~((op1 (e13) (e13)) = (e13))) -> False).
% 54.60/54.84 do 0 intro. intros zenon_H1be zenon_H1b1 zenon_H1bf zenon_H18e zenon_H13 zenon_H1b8 zenon_H15 zenon_H1c0.
% 54.60/54.84 apply (zenon_or_s _ _ zenon_H1be); [ zenon_intro zenon_H1b0 | zenon_intro zenon_H1c1 ].
% 54.60/54.84 apply (zenon_L84_); trivial.
% 54.60/54.84 apply (zenon_or_s _ _ zenon_H1c1); [ zenon_intro zenon_H1c3 | zenon_intro zenon_H1c2 ].
% 54.60/54.84 exact (zenon_H1bf zenon_H1c3).
% 54.60/54.84 apply (zenon_or_s _ _ zenon_H1c2); [ zenon_intro zenon_H1ba | zenon_intro zenon_H1c4 ].
% 54.60/54.84 apply (zenon_L86_); trivial.
% 54.60/54.84 exact (zenon_H1c0 zenon_H1c4).
% 54.60/54.84 (* end of lemma zenon_L87_ *)
% 54.60/54.84 assert (zenon_L88_ : (~((op1 (op1 (op1 (e11) (e11)) (op1 (e11) (e11))) (op1 (e11) (e11))) = (op1 (e11) (e12)))) -> ((op1 (e13) (e10)) = (e12)) -> ((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) -> ((e10) = (op1 (e11) (e11))) -> ((op1 (e11) (e12)) = (e12)) -> False).
% 54.60/54.84 do 0 intro. intros zenon_H1c5 zenon_H16b zenon_H15 zenon_H13 zenon_H1c6.
% 54.60/54.84 cut (((op1 (e13) (e10)) = (e12)) = ((op1 (op1 (op1 (e11) (e11)) (op1 (e11) (e11))) (op1 (e11) (e11))) = (op1 (e11) (e12)))).
% 54.60/54.84 intro zenon_D_pnotp.
% 54.60/54.84 apply zenon_H1c5.
% 54.60/54.84 rewrite <- zenon_D_pnotp.
% 54.60/54.84 exact zenon_H16b.
% 54.60/54.84 cut (((e12) = (op1 (e11) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H1c7].
% 54.60/54.84 cut (((op1 (e13) (e10)) = (op1 (op1 (op1 (e11) (e11)) (op1 (e11) (e11))) (op1 (e11) (e11))))); [idtac | apply NNPP; zenon_intro zenon_H1c8].
% 54.60/54.84 congruence.
% 54.60/54.84 elim (classic ((op1 (op1 (op1 (e11) (e11)) (op1 (e11) (e11))) (op1 (e11) (e11))) = (op1 (op1 (op1 (e11) (e11)) (op1 (e11) (e11))) (op1 (e11) (e11))))); [ zenon_intro zenon_H1c9 | zenon_intro zenon_H1ca ].
% 54.60/54.84 cut (((op1 (op1 (op1 (e11) (e11)) (op1 (e11) (e11))) (op1 (e11) (e11))) = (op1 (op1 (op1 (e11) (e11)) (op1 (e11) (e11))) (op1 (e11) (e11)))) = ((op1 (e13) (e10)) = (op1 (op1 (op1 (e11) (e11)) (op1 (e11) (e11))) (op1 (e11) (e11))))).
% 54.60/54.84 intro zenon_D_pnotp.
% 54.60/54.84 apply zenon_H1c8.
% 54.60/54.84 rewrite <- zenon_D_pnotp.
% 54.60/54.84 exact zenon_H1c9.
% 54.60/54.84 cut (((op1 (op1 (op1 (e11) (e11)) (op1 (e11) (e11))) (op1 (e11) (e11))) = (op1 (op1 (op1 (e11) (e11)) (op1 (e11) (e11))) (op1 (e11) (e11))))); [idtac | apply NNPP; zenon_intro zenon_H1ca].
% 54.60/54.84 cut (((op1 (op1 (op1 (e11) (e11)) (op1 (e11) (e11))) (op1 (e11) (e11))) = (op1 (e13) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H152].
% 54.60/54.84 congruence.
% 54.60/54.84 apply (zenon_L62_); trivial.
% 54.60/54.84 apply zenon_H1ca. apply refl_equal.
% 54.60/54.84 apply zenon_H1ca. apply refl_equal.
% 54.60/54.84 apply zenon_H1c7. apply sym_equal. exact zenon_H1c6.
% 54.60/54.84 (* end of lemma zenon_L88_ *)
% 54.60/54.84 assert (zenon_L89_ : ((e12) = (op1 (op1 (op1 (e11) (e11)) (op1 (e11) (e11))) (op1 (e11) (e11)))) -> ((op1 (e12) (e12)) = (e12)) -> ((op1 (e13) (e10)) = (e12)) -> ((op1 (e11) (e12)) = (e12)) -> ((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) -> ((e10) = (op1 (e11) (e11))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> False).
% 54.60/54.84 do 0 intro. intros zenon_H155 zenon_H1cb zenon_H16b zenon_H1c6 zenon_H15 zenon_H13 zenon_H1cc.
% 54.60/54.84 elim (classic ((op1 (e12) (e12)) = (op1 (e12) (e12)))); [ zenon_intro zenon_H1cd | zenon_intro zenon_H1ce ].
% 54.60/54.84 cut (((op1 (e12) (e12)) = (op1 (e12) (e12))) = ((op1 (e11) (e12)) = (op1 (e12) (e12)))).
% 54.60/54.84 intro zenon_D_pnotp.
% 54.60/54.84 apply zenon_H1cc.
% 54.60/54.84 rewrite <- zenon_D_pnotp.
% 54.60/54.84 exact zenon_H1cd.
% 54.60/54.84 cut (((op1 (e12) (e12)) = (op1 (e12) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H1ce].
% 54.60/54.84 cut (((op1 (e12) (e12)) = (op1 (e11) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H1cf].
% 54.60/54.84 congruence.
% 54.60/54.84 cut (((e12) = (op1 (op1 (op1 (e11) (e11)) (op1 (e11) (e11))) (op1 (e11) (e11)))) = ((op1 (e12) (e12)) = (op1 (e11) (e12)))).
% 54.60/54.84 intro zenon_D_pnotp.
% 54.60/54.84 apply zenon_H1cf.
% 54.60/54.84 rewrite <- zenon_D_pnotp.
% 54.60/54.84 exact zenon_H155.
% 54.60/54.84 cut (((op1 (op1 (op1 (e11) (e11)) (op1 (e11) (e11))) (op1 (e11) (e11))) = (op1 (e11) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H1c5].
% 54.60/54.84 cut (((e12) = (op1 (e12) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H1d0].
% 54.60/54.84 congruence.
% 54.60/54.84 elim (classic ((op1 (e12) (e12)) = (op1 (e12) (e12)))); [ zenon_intro zenon_H1cd | zenon_intro zenon_H1ce ].
% 54.60/54.84 cut (((op1 (e12) (e12)) = (op1 (e12) (e12))) = ((e12) = (op1 (e12) (e12)))).
% 54.60/54.84 intro zenon_D_pnotp.
% 54.60/54.84 apply zenon_H1d0.
% 54.60/54.84 rewrite <- zenon_D_pnotp.
% 54.60/54.84 exact zenon_H1cd.
% 54.60/54.84 cut (((op1 (e12) (e12)) = (op1 (e12) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H1ce].
% 54.60/54.84 cut (((op1 (e12) (e12)) = (e12))); [idtac | apply NNPP; zenon_intro zenon_H1d1].
% 54.60/54.84 congruence.
% 54.60/54.84 exact (zenon_H1d1 zenon_H1cb).
% 54.60/54.84 apply zenon_H1ce. apply refl_equal.
% 54.60/54.84 apply zenon_H1ce. apply refl_equal.
% 54.60/54.84 apply (zenon_L88_); trivial.
% 54.60/54.84 apply zenon_H1ce. apply refl_equal.
% 54.60/54.84 apply zenon_H1ce. apply refl_equal.
% 54.60/54.84 (* end of lemma zenon_L89_ *)
% 54.60/54.84 assert (zenon_L90_ : (~((op1 (op1 (e11) (e11)) (op1 (e11) (e11))) = (op1 (e12) (e12)))) -> ((op1 (e10) (e10)) = (e13)) -> ((e10) = (op1 (e11) (e11))) -> ((op1 (e12) (e12)) = (e13)) -> False).
% 54.60/54.84 do 0 intro. intros zenon_H1d2 zenon_H1a3 zenon_H13 zenon_H1d3.
% 54.60/54.84 cut (((op1 (e10) (e10)) = (e13)) = ((op1 (op1 (e11) (e11)) (op1 (e11) (e11))) = (op1 (e12) (e12)))).
% 54.60/54.84 intro zenon_D_pnotp.
% 54.60/54.84 apply zenon_H1d2.
% 54.60/54.84 rewrite <- zenon_D_pnotp.
% 54.60/54.84 exact zenon_H1a3.
% 54.60/54.84 cut (((e13) = (op1 (e12) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H1d4].
% 54.60/54.84 cut (((op1 (e10) (e10)) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11))))); [idtac | apply NNPP; zenon_intro zenon_H1d5].
% 54.60/54.84 congruence.
% 54.60/54.84 elim (classic ((op1 (op1 (e11) (e11)) (op1 (e11) (e11))) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11))))); [ zenon_intro zenon_H1d6 | zenon_intro zenon_H1d7 ].
% 54.60/54.84 cut (((op1 (op1 (e11) (e11)) (op1 (e11) (e11))) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) = ((op1 (e10) (e10)) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11))))).
% 54.60/54.84 intro zenon_D_pnotp.
% 54.60/54.84 apply zenon_H1d5.
% 54.60/54.84 rewrite <- zenon_D_pnotp.
% 54.60/54.84 exact zenon_H1d6.
% 54.60/54.84 cut (((op1 (op1 (e11) (e11)) (op1 (e11) (e11))) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11))))); [idtac | apply NNPP; zenon_intro zenon_H1d7].
% 54.60/54.84 cut (((op1 (op1 (e11) (e11)) (op1 (e11) (e11))) = (op1 (e10) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H12].
% 54.60/54.84 congruence.
% 54.60/54.84 apply (zenon_L1_); trivial.
% 54.60/54.84 apply zenon_H1d7. apply refl_equal.
% 54.60/54.84 apply zenon_H1d7. apply refl_equal.
% 54.60/54.84 apply zenon_H1d4. apply sym_equal. exact zenon_H1d3.
% 54.60/54.84 (* end of lemma zenon_L90_ *)
% 54.60/54.84 assert (zenon_L91_ : ((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) -> ((op1 (e13) (e12)) = (e13)) -> ((op1 (e10) (e10)) = (e13)) -> ((op1 (e12) (e12)) = (e13)) -> ((e10) = (op1 (e11) (e11))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> False).
% 54.60/54.85 do 0 intro. intros zenon_H15 zenon_H1ba zenon_H1a3 zenon_H1d3 zenon_H13 zenon_H1d8.
% 54.60/54.85 elim (classic ((op1 (e13) (e12)) = (op1 (e13) (e12)))); [ zenon_intro zenon_H17a | zenon_intro zenon_H17b ].
% 54.60/54.85 cut (((op1 (e13) (e12)) = (op1 (e13) (e12))) = ((op1 (e12) (e12)) = (op1 (e13) (e12)))).
% 54.60/54.85 intro zenon_D_pnotp.
% 54.60/54.85 apply zenon_H1d8.
% 54.60/54.85 rewrite <- zenon_D_pnotp.
% 54.60/54.85 exact zenon_H17a.
% 54.60/54.85 cut (((op1 (e13) (e12)) = (op1 (e13) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H17b].
% 54.60/54.85 cut (((op1 (e13) (e12)) = (op1 (e12) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H1d9].
% 54.60/54.85 congruence.
% 54.60/54.85 cut (((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) = ((op1 (e13) (e12)) = (op1 (e12) (e12)))).
% 54.60/54.85 intro zenon_D_pnotp.
% 54.60/54.85 apply zenon_H1d9.
% 54.60/54.85 rewrite <- zenon_D_pnotp.
% 54.60/54.85 exact zenon_H15.
% 54.60/54.85 cut (((op1 (op1 (e11) (e11)) (op1 (e11) (e11))) = (op1 (e12) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H1d2].
% 54.60/54.85 cut (((e13) = (op1 (e13) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H1bc].
% 54.60/54.85 congruence.
% 54.60/54.85 elim (classic ((op1 (e13) (e12)) = (op1 (e13) (e12)))); [ zenon_intro zenon_H17a | zenon_intro zenon_H17b ].
% 54.60/54.85 cut (((op1 (e13) (e12)) = (op1 (e13) (e12))) = ((e13) = (op1 (e13) (e12)))).
% 54.60/54.85 intro zenon_D_pnotp.
% 54.60/54.85 apply zenon_H1bc.
% 54.60/54.85 rewrite <- zenon_D_pnotp.
% 54.60/54.85 exact zenon_H17a.
% 54.60/54.85 cut (((op1 (e13) (e12)) = (op1 (e13) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H17b].
% 54.60/54.85 cut (((op1 (e13) (e12)) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H1bd].
% 54.60/54.85 congruence.
% 54.60/54.85 exact (zenon_H1bd zenon_H1ba).
% 54.60/54.85 apply zenon_H17b. apply refl_equal.
% 54.60/54.85 apply zenon_H17b. apply refl_equal.
% 54.60/54.85 apply (zenon_L90_); trivial.
% 54.60/54.85 apply zenon_H17b. apply refl_equal.
% 54.60/54.85 apply zenon_H17b. apply refl_equal.
% 54.60/54.85 (* end of lemma zenon_L91_ *)
% 54.60/54.85 assert (zenon_L92_ : (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (~((op1 (e12) (e12)) = (e10))) -> ((op1 (e10) (e11)) = (e12)) -> ((op1 (e10) (op1 (e10) (e11))) = (e11)) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> ((op1 (e11) (e12)) = (e12)) -> ((op1 (e13) (e10)) = (e12)) -> ((e12) = (op1 (op1 (op1 (e11) (e11)) (op1 (e11) (e11))) (op1 (e11) (e11)))) -> ((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) -> ((op1 (e13) (e12)) = (e13)) -> ((op1 (e10) (e10)) = (e13)) -> ((e10) = (op1 (e11) (e11))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> False).
% 54.60/54.85 do 0 intro. intros zenon_H1da zenon_H1db zenon_H1dc zenon_H1dd zenon_H1de zenon_H1cc zenon_H1c6 zenon_H16b zenon_H155 zenon_H15 zenon_H1ba zenon_H1a3 zenon_H13 zenon_H1d8.
% 54.60/54.85 apply (zenon_or_s _ _ zenon_H1da); [ zenon_intro zenon_H1e0 | zenon_intro zenon_H1df ].
% 54.60/54.85 exact (zenon_H1db zenon_H1e0).
% 54.60/54.85 apply (zenon_or_s _ _ zenon_H1df); [ zenon_intro zenon_H1e2 | zenon_intro zenon_H1e1 ].
% 54.60/54.85 cut (((op1 (e10) (op1 (e10) (e11))) = (e11)) = ((op1 (e10) (e12)) = (op1 (e12) (e12)))).
% 54.60/54.85 intro zenon_D_pnotp.
% 54.60/54.85 apply zenon_H1de.
% 54.60/54.85 rewrite <- zenon_D_pnotp.
% 54.60/54.85 exact zenon_H1dd.
% 54.60/54.85 cut (((e11) = (op1 (e12) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H1e3].
% 54.60/54.85 cut (((op1 (e10) (op1 (e10) (e11))) = (op1 (e10) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H1e4].
% 54.60/54.85 congruence.
% 54.60/54.85 elim (classic ((op1 (e10) (e12)) = (op1 (e10) (e12)))); [ zenon_intro zenon_H1f | zenon_intro zenon_H20 ].
% 54.60/54.85 cut (((op1 (e10) (e12)) = (op1 (e10) (e12))) = ((op1 (e10) (op1 (e10) (e11))) = (op1 (e10) (e12)))).
% 54.60/54.85 intro zenon_D_pnotp.
% 54.60/54.85 apply zenon_H1e4.
% 54.60/54.85 rewrite <- zenon_D_pnotp.
% 54.60/54.85 exact zenon_H1f.
% 54.60/54.85 cut (((op1 (e10) (e12)) = (op1 (e10) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H20].
% 54.60/54.85 cut (((op1 (e10) (e12)) = (op1 (e10) (op1 (e10) (e11))))); [idtac | apply NNPP; zenon_intro zenon_H1e5].
% 54.60/54.85 congruence.
% 54.60/54.85 cut (((e12) = (op1 (e10) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H1e6].
% 54.60/54.85 cut (((e10) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H169].
% 54.60/54.85 congruence.
% 54.60/54.85 apply zenon_H169. apply refl_equal.
% 54.60/54.85 apply zenon_H1e6. apply sym_equal. exact zenon_H1dc.
% 54.60/54.85 apply zenon_H20. apply refl_equal.
% 54.60/54.85 apply zenon_H20. apply refl_equal.
% 54.60/54.85 apply zenon_H1e3. apply sym_equal. exact zenon_H1e2.
% 54.60/54.85 apply (zenon_or_s _ _ zenon_H1e1); [ zenon_intro zenon_H1cb | zenon_intro zenon_H1d3 ].
% 54.60/54.85 apply (zenon_L89_); trivial.
% 54.60/54.85 apply (zenon_L91_); trivial.
% 54.60/54.85 (* end of lemma zenon_L92_ *)
% 54.60/54.85 assert (zenon_L93_ : (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e13) (e11)) = (e13))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> ((e10) = (op1 (e11) (e11))) -> ((op1 (e10) (e10)) = (e13)) -> ((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) -> ((e12) = (op1 (op1 (op1 (e11) (e11)) (op1 (e11) (e11))) (op1 (e11) (e11)))) -> ((op1 (e13) (e10)) = (e12)) -> ((op1 (e11) (e12)) = (e12)) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> ((op1 (e10) (op1 (e10) (e11))) = (e11)) -> ((op1 (e10) (e11)) = (e12)) -> (~((op1 (e12) (e12)) = (e10))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (~((op1 (e13) (e13)) = (e13))) -> False).
% 54.60/54.85 do 0 intro. intros zenon_H1be zenon_H1b1 zenon_H1bf zenon_H1d8 zenon_H13 zenon_H1a3 zenon_H15 zenon_H155 zenon_H16b zenon_H1c6 zenon_H1cc zenon_H1de zenon_H1dd zenon_H1dc zenon_H1db zenon_H1da zenon_H1c0.
% 54.60/54.85 apply (zenon_or_s _ _ zenon_H1be); [ zenon_intro zenon_H1b0 | zenon_intro zenon_H1c1 ].
% 54.60/54.85 apply (zenon_L84_); trivial.
% 54.60/54.85 apply (zenon_or_s _ _ zenon_H1c1); [ zenon_intro zenon_H1c3 | zenon_intro zenon_H1c2 ].
% 54.60/54.85 exact (zenon_H1bf zenon_H1c3).
% 54.60/54.85 apply (zenon_or_s _ _ zenon_H1c2); [ zenon_intro zenon_H1ba | zenon_intro zenon_H1c4 ].
% 54.60/54.85 apply (zenon_L92_); trivial.
% 54.60/54.85 exact (zenon_H1c0 zenon_H1c4).
% 54.60/54.85 (* end of lemma zenon_L93_ *)
% 54.60/54.85 assert (zenon_L94_ : ((e10) = (op1 (e11) (e11))) -> ((op1 (e11) (e12)) = (e10)) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> False).
% 54.60/54.85 do 0 intro. intros zenon_H13 zenon_H1e7 zenon_H1e8.
% 54.60/54.85 elim (classic ((op1 (e11) (e12)) = (op1 (e11) (e12)))); [ zenon_intro zenon_H1aa | zenon_intro zenon_H1ab ].
% 54.60/54.85 cut (((op1 (e11) (e12)) = (op1 (e11) (e12))) = ((op1 (e11) (e11)) = (op1 (e11) (e12)))).
% 54.60/54.85 intro zenon_D_pnotp.
% 54.60/54.85 apply zenon_H1e8.
% 54.60/54.85 rewrite <- zenon_D_pnotp.
% 54.60/54.85 exact zenon_H1aa.
% 54.60/54.85 cut (((op1 (e11) (e12)) = (op1 (e11) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H1ab].
% 54.60/54.85 cut (((op1 (e11) (e12)) = (op1 (e11) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H1e9].
% 54.60/54.85 congruence.
% 54.60/54.85 cut (((e10) = (op1 (e11) (e11))) = ((op1 (e11) (e12)) = (op1 (e11) (e11)))).
% 54.60/54.85 intro zenon_D_pnotp.
% 54.60/54.85 apply zenon_H1e9.
% 54.60/54.85 rewrite <- zenon_D_pnotp.
% 54.60/54.85 exact zenon_H13.
% 54.60/54.85 cut (((op1 (e11) (e11)) = (op1 (e11) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H14d].
% 54.60/54.85 cut (((e10) = (op1 (e11) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H1ea].
% 54.60/54.85 congruence.
% 54.60/54.85 elim (classic ((op1 (e11) (e12)) = (op1 (e11) (e12)))); [ zenon_intro zenon_H1aa | zenon_intro zenon_H1ab ].
% 54.60/54.85 cut (((op1 (e11) (e12)) = (op1 (e11) (e12))) = ((e10) = (op1 (e11) (e12)))).
% 54.60/54.85 intro zenon_D_pnotp.
% 54.60/54.85 apply zenon_H1ea.
% 54.60/54.85 rewrite <- zenon_D_pnotp.
% 54.60/54.85 exact zenon_H1aa.
% 54.60/54.85 cut (((op1 (e11) (e12)) = (op1 (e11) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H1ab].
% 54.60/54.85 cut (((op1 (e11) (e12)) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H1eb].
% 54.60/54.85 congruence.
% 54.60/54.85 exact (zenon_H1eb zenon_H1e7).
% 54.60/54.85 apply zenon_H1ab. apply refl_equal.
% 54.60/54.85 apply zenon_H1ab. apply refl_equal.
% 54.60/54.85 apply zenon_H14d. apply refl_equal.
% 54.60/54.85 apply zenon_H1ab. apply refl_equal.
% 54.60/54.85 apply zenon_H1ab. apply refl_equal.
% 54.60/54.85 (* end of lemma zenon_L94_ *)
% 54.60/54.85 assert (zenon_L95_ : ((e12) = (op1 (op1 (op1 (e11) (e11)) (op1 (e11) (e11))) (op1 (e11) (e11)))) -> ((op1 (e11) (e13)) = (e12)) -> ((op1 (e13) (e10)) = (e12)) -> ((op1 (e11) (e12)) = (e12)) -> ((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) -> ((e10) = (op1 (e11) (e11))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> False).
% 54.60/54.85 do 0 intro. intros zenon_H155 zenon_H1ec zenon_H16b zenon_H1c6 zenon_H15 zenon_H13 zenon_H1ed.
% 54.60/54.85 elim (classic ((op1 (e11) (e13)) = (op1 (e11) (e13)))); [ zenon_intro zenon_H1ee | zenon_intro zenon_H1ef ].
% 54.60/54.85 cut (((op1 (e11) (e13)) = (op1 (e11) (e13))) = ((op1 (e11) (e12)) = (op1 (e11) (e13)))).
% 54.60/54.85 intro zenon_D_pnotp.
% 54.60/54.85 apply zenon_H1ed.
% 54.60/54.85 rewrite <- zenon_D_pnotp.
% 54.60/54.85 exact zenon_H1ee.
% 54.60/54.85 cut (((op1 (e11) (e13)) = (op1 (e11) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H1ef].
% 54.60/54.85 cut (((op1 (e11) (e13)) = (op1 (e11) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H1f0].
% 54.60/54.85 congruence.
% 54.60/54.85 cut (((e12) = (op1 (op1 (op1 (e11) (e11)) (op1 (e11) (e11))) (op1 (e11) (e11)))) = ((op1 (e11) (e13)) = (op1 (e11) (e12)))).
% 54.60/54.85 intro zenon_D_pnotp.
% 54.60/54.85 apply zenon_H1f0.
% 54.60/54.85 rewrite <- zenon_D_pnotp.
% 54.60/54.85 exact zenon_H155.
% 54.60/54.85 cut (((op1 (op1 (op1 (e11) (e11)) (op1 (e11) (e11))) (op1 (e11) (e11))) = (op1 (e11) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H1c5].
% 54.60/54.85 cut (((e12) = (op1 (e11) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H1f1].
% 54.60/54.85 congruence.
% 54.60/54.85 elim (classic ((op1 (e11) (e13)) = (op1 (e11) (e13)))); [ zenon_intro zenon_H1ee | zenon_intro zenon_H1ef ].
% 54.60/54.85 cut (((op1 (e11) (e13)) = (op1 (e11) (e13))) = ((e12) = (op1 (e11) (e13)))).
% 54.60/54.85 intro zenon_D_pnotp.
% 54.60/54.85 apply zenon_H1f1.
% 54.60/54.85 rewrite <- zenon_D_pnotp.
% 54.60/54.85 exact zenon_H1ee.
% 54.60/54.85 cut (((op1 (e11) (e13)) = (op1 (e11) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H1ef].
% 54.60/54.85 cut (((op1 (e11) (e13)) = (e12))); [idtac | apply NNPP; zenon_intro zenon_H1f2].
% 54.60/54.85 congruence.
% 54.60/54.85 exact (zenon_H1f2 zenon_H1ec).
% 54.60/54.85 apply zenon_H1ef. apply refl_equal.
% 54.60/54.85 apply zenon_H1ef. apply refl_equal.
% 54.60/54.85 apply (zenon_L88_); trivial.
% 54.60/54.85 apply zenon_H1ef. apply refl_equal.
% 54.60/54.85 apply zenon_H1ef. apply refl_equal.
% 54.60/54.85 (* end of lemma zenon_L95_ *)
% 54.60/54.85 assert (zenon_L96_ : ((op1 (e13) (e12)) = (e13)) -> ((op1 (e11) (e12)) = (e13)) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> False).
% 54.60/54.85 do 0 intro. intros zenon_H1ba zenon_H1f3 zenon_H1f4.
% 54.60/54.85 elim (classic ((op1 (e13) (e12)) = (op1 (e13) (e12)))); [ zenon_intro zenon_H17a | zenon_intro zenon_H17b ].
% 54.60/54.85 cut (((op1 (e13) (e12)) = (op1 (e13) (e12))) = ((op1 (e11) (e12)) = (op1 (e13) (e12)))).
% 54.60/54.85 intro zenon_D_pnotp.
% 54.60/54.85 apply zenon_H1f4.
% 54.60/54.85 rewrite <- zenon_D_pnotp.
% 54.60/54.85 exact zenon_H17a.
% 54.60/54.85 cut (((op1 (e13) (e12)) = (op1 (e13) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H17b].
% 54.60/54.85 cut (((op1 (e13) (e12)) = (op1 (e11) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H1f5].
% 54.60/54.85 congruence.
% 54.60/54.85 cut (((op1 (e13) (e12)) = (e13)) = ((op1 (e13) (e12)) = (op1 (e11) (e12)))).
% 54.60/54.85 intro zenon_D_pnotp.
% 54.60/54.85 apply zenon_H1f5.
% 54.60/54.85 rewrite <- zenon_D_pnotp.
% 54.60/54.85 exact zenon_H1ba.
% 54.60/54.85 cut (((e13) = (op1 (e11) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H1f6].
% 54.60/54.85 cut (((op1 (e13) (e12)) = (op1 (e13) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H17b].
% 54.60/54.85 congruence.
% 54.60/54.85 apply zenon_H17b. apply refl_equal.
% 54.60/54.85 apply zenon_H1f6. apply sym_equal. exact zenon_H1f3.
% 54.60/54.85 apply zenon_H17b. apply refl_equal.
% 54.60/54.85 apply zenon_H17b. apply refl_equal.
% 54.60/54.85 (* end of lemma zenon_L96_ *)
% 54.60/54.85 assert (zenon_L97_ : (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> ((op1 (e11) (e10)) = (e11)) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> ((e10) = (op1 (e11) (e11))) -> ((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) -> ((op1 (e13) (e10)) = (e12)) -> ((op1 (e11) (e13)) = (e12)) -> ((e12) = (op1 (op1 (op1 (e11) (e11)) (op1 (e11) (e11))) (op1 (e11) (e11)))) -> ((op1 (e13) (e12)) = (e13)) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> False).
% 54.60/54.85 do 0 intro. intros zenon_H1f7 zenon_H1e8 zenon_H1a9 zenon_H163 zenon_H1ed zenon_H13 zenon_H15 zenon_H16b zenon_H1ec zenon_H155 zenon_H1ba zenon_H1f4.
% 54.60/54.85 apply (zenon_or_s _ _ zenon_H1f7); [ zenon_intro zenon_H1e7 | zenon_intro zenon_H1f8 ].
% 54.60/54.85 apply (zenon_L94_); trivial.
% 54.60/54.85 apply (zenon_or_s _ _ zenon_H1f8); [ zenon_intro zenon_H1a8 | zenon_intro zenon_H1f9 ].
% 54.60/54.85 apply (zenon_L81_); trivial.
% 54.60/54.85 apply (zenon_or_s _ _ zenon_H1f9); [ zenon_intro zenon_H1c6 | zenon_intro zenon_H1f3 ].
% 54.60/54.85 apply (zenon_L95_); trivial.
% 54.60/54.85 apply (zenon_L96_); trivial.
% 54.60/54.85 (* end of lemma zenon_L97_ *)
% 54.60/54.85 assert (zenon_L98_ : (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e13) (e11)) = (e13))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> ((e12) = (op1 (op1 (op1 (e11) (e11)) (op1 (e11) (e11))) (op1 (e11) (e11)))) -> ((op1 (e11) (e13)) = (e12)) -> ((op1 (e13) (e10)) = (e12)) -> ((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) -> ((e10) = (op1 (e11) (e11))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> ((op1 (e11) (e10)) = (e11)) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e13) (e13)) = (e13))) -> False).
% 54.60/54.85 do 0 intro. intros zenon_H1be zenon_H1b1 zenon_H1bf zenon_H1f4 zenon_H155 zenon_H1ec zenon_H16b zenon_H15 zenon_H13 zenon_H1ed zenon_H163 zenon_H1a9 zenon_H1e8 zenon_H1f7 zenon_H1c0.
% 54.60/54.85 apply (zenon_or_s _ _ zenon_H1be); [ zenon_intro zenon_H1b0 | zenon_intro zenon_H1c1 ].
% 54.60/54.85 apply (zenon_L84_); trivial.
% 54.60/54.85 apply (zenon_or_s _ _ zenon_H1c1); [ zenon_intro zenon_H1c3 | zenon_intro zenon_H1c2 ].
% 54.60/54.85 exact (zenon_H1bf zenon_H1c3).
% 54.60/54.85 apply (zenon_or_s _ _ zenon_H1c2); [ zenon_intro zenon_H1ba | zenon_intro zenon_H1c4 ].
% 54.60/54.85 apply (zenon_L97_); trivial.
% 54.60/54.85 exact (zenon_H1c0 zenon_H1c4).
% 54.60/54.85 (* end of lemma zenon_L98_ *)
% 54.60/54.85 assert (zenon_L99_ : (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (~((op1 (e12) (e12)) = (e10))) -> ((op1 (e10) (e11)) = (e12)) -> ((op1 (e10) (op1 (e10) (e11))) = (e11)) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> ((op1 (e10) (e10)) = (e13)) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e13) (e11)) = (e13))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> ((e12) = (op1 (op1 (op1 (e11) (e11)) (op1 (e11) (e11))) (op1 (e11) (e11)))) -> ((op1 (e13) (e10)) = (e12)) -> ((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) -> ((e10) = (op1 (e11) (e11))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> ((op1 (e11) (e10)) = (e11)) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e13) (e13)) = (e13))) -> False).
% 54.60/54.85 do 0 intro. intros zenon_H1fa zenon_H154 zenon_H18e zenon_H1da zenon_H1db zenon_H1dc zenon_H1dd zenon_H1de zenon_H1cc zenon_H1a3 zenon_H1d8 zenon_H1be zenon_H1b1 zenon_H1bf zenon_H1f4 zenon_H155 zenon_H16b zenon_H15 zenon_H13 zenon_H1ed zenon_H163 zenon_H1a9 zenon_H1e8 zenon_H1f7 zenon_H1c0.
% 54.60/54.85 apply (zenon_or_s _ _ zenon_H1fa); [ zenon_intro zenon_H156 | zenon_intro zenon_H1fb ].
% 54.60/54.85 apply (zenon_L63_); trivial.
% 54.60/54.85 apply (zenon_or_s _ _ zenon_H1fb); [ zenon_intro zenon_H1b8 | zenon_intro zenon_H1fc ].
% 54.60/54.85 apply (zenon_L87_); trivial.
% 54.60/54.85 apply (zenon_or_s _ _ zenon_H1fc); [ zenon_intro zenon_H1c6 | zenon_intro zenon_H1ec ].
% 54.60/54.85 apply (zenon_L93_); trivial.
% 54.60/54.85 apply (zenon_L98_); trivial.
% 54.60/54.85 (* end of lemma zenon_L99_ *)
% 54.60/54.85 assert (zenon_L100_ : (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> ((op1 (e10) (e11)) = (e11)) -> ((op1 (e13) (e11)) = (e11)) -> False).
% 54.60/54.85 do 0 intro. intros zenon_H1fd zenon_H1fe zenon_H1ff.
% 54.60/54.85 cut (((op1 (e10) (e11)) = (e11)) = ((op1 (e10) (e11)) = (op1 (e13) (e11)))).
% 54.60/54.85 intro zenon_D_pnotp.
% 54.60/54.85 apply zenon_H1fd.
% 54.60/54.85 rewrite <- zenon_D_pnotp.
% 54.60/54.85 exact zenon_H1fe.
% 54.60/54.85 cut (((e11) = (op1 (e13) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H200].
% 54.60/54.85 cut (((op1 (e10) (e11)) = (op1 (e10) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H19].
% 54.60/54.85 congruence.
% 54.60/54.85 apply zenon_H19. apply refl_equal.
% 54.60/54.85 apply zenon_H200. apply sym_equal. exact zenon_H1ff.
% 54.60/54.85 (* end of lemma zenon_L100_ *)
% 54.60/54.85 assert (zenon_L101_ : (~((op1 (op1 (op1 (e11) (e11)) (op1 (e11) (e11))) (op1 (e11) (e11))) = (op1 (e12) (e11)))) -> ((op1 (e13) (e10)) = (e12)) -> ((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) -> ((e10) = (op1 (e11) (e11))) -> ((op1 (e12) (e11)) = (e12)) -> False).
% 54.60/54.85 do 0 intro. intros zenon_H201 zenon_H16b zenon_H15 zenon_H13 zenon_H202.
% 54.60/54.85 cut (((op1 (e13) (e10)) = (e12)) = ((op1 (op1 (op1 (e11) (e11)) (op1 (e11) (e11))) (op1 (e11) (e11))) = (op1 (e12) (e11)))).
% 54.60/54.85 intro zenon_D_pnotp.
% 54.60/54.85 apply zenon_H201.
% 54.60/54.85 rewrite <- zenon_D_pnotp.
% 54.60/54.85 exact zenon_H16b.
% 54.60/54.85 cut (((e12) = (op1 (e12) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H203].
% 54.60/54.85 cut (((op1 (e13) (e10)) = (op1 (op1 (op1 (e11) (e11)) (op1 (e11) (e11))) (op1 (e11) (e11))))); [idtac | apply NNPP; zenon_intro zenon_H1c8].
% 54.60/54.85 congruence.
% 54.60/54.85 elim (classic ((op1 (op1 (op1 (e11) (e11)) (op1 (e11) (e11))) (op1 (e11) (e11))) = (op1 (op1 (op1 (e11) (e11)) (op1 (e11) (e11))) (op1 (e11) (e11))))); [ zenon_intro zenon_H1c9 | zenon_intro zenon_H1ca ].
% 54.60/54.85 cut (((op1 (op1 (op1 (e11) (e11)) (op1 (e11) (e11))) (op1 (e11) (e11))) = (op1 (op1 (op1 (e11) (e11)) (op1 (e11) (e11))) (op1 (e11) (e11)))) = ((op1 (e13) (e10)) = (op1 (op1 (op1 (e11) (e11)) (op1 (e11) (e11))) (op1 (e11) (e11))))).
% 54.60/54.85 intro zenon_D_pnotp.
% 54.60/54.85 apply zenon_H1c8.
% 54.60/54.85 rewrite <- zenon_D_pnotp.
% 54.60/54.85 exact zenon_H1c9.
% 54.60/54.85 cut (((op1 (op1 (op1 (e11) (e11)) (op1 (e11) (e11))) (op1 (e11) (e11))) = (op1 (op1 (op1 (e11) (e11)) (op1 (e11) (e11))) (op1 (e11) (e11))))); [idtac | apply NNPP; zenon_intro zenon_H1ca].
% 54.60/54.85 cut (((op1 (op1 (op1 (e11) (e11)) (op1 (e11) (e11))) (op1 (e11) (e11))) = (op1 (e13) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H152].
% 54.60/54.85 congruence.
% 54.60/54.85 apply (zenon_L62_); trivial.
% 54.60/54.85 apply zenon_H1ca. apply refl_equal.
% 54.60/54.85 apply zenon_H1ca. apply refl_equal.
% 54.60/54.85 apply zenon_H203. apply sym_equal. exact zenon_H202.
% 54.60/54.85 (* end of lemma zenon_L101_ *)
% 54.60/54.85 assert (zenon_L102_ : (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> ((e12) = (op1 (op1 (op1 (e11) (e11)) (op1 (e11) (e11))) (op1 (e11) (e11)))) -> ((op1 (e10) (e11)) = (e12)) -> ((op1 (e13) (e10)) = (e12)) -> ((op1 (e12) (e11)) = (e12)) -> ((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) -> ((e10) = (op1 (e11) (e11))) -> False).
% 54.60/54.85 do 0 intro. intros zenon_H204 zenon_H155 zenon_H1dc zenon_H16b zenon_H202 zenon_H15 zenon_H13.
% 54.60/54.85 cut (((e12) = (op1 (op1 (op1 (e11) (e11)) (op1 (e11) (e11))) (op1 (e11) (e11)))) = ((op1 (e10) (e11)) = (op1 (e12) (e11)))).
% 54.60/54.85 intro zenon_D_pnotp.
% 54.60/54.85 apply zenon_H204.
% 54.60/54.85 rewrite <- zenon_D_pnotp.
% 54.60/54.85 exact zenon_H155.
% 54.60/54.85 cut (((op1 (op1 (op1 (e11) (e11)) (op1 (e11) (e11))) (op1 (e11) (e11))) = (op1 (e12) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H201].
% 54.60/54.85 cut (((e12) = (op1 (e10) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H1e6].
% 54.60/54.85 congruence.
% 54.60/54.85 elim (classic ((op1 (e10) (e11)) = (op1 (e10) (e11)))); [ zenon_intro zenon_H18 | zenon_intro zenon_H19 ].
% 54.60/54.85 cut (((op1 (e10) (e11)) = (op1 (e10) (e11))) = ((e12) = (op1 (e10) (e11)))).
% 54.60/54.85 intro zenon_D_pnotp.
% 54.60/54.85 apply zenon_H1e6.
% 54.60/54.85 rewrite <- zenon_D_pnotp.
% 54.60/54.85 exact zenon_H18.
% 54.60/54.85 cut (((op1 (e10) (e11)) = (op1 (e10) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H19].
% 54.60/54.85 cut (((op1 (e10) (e11)) = (e12))); [idtac | apply NNPP; zenon_intro zenon_H205].
% 54.60/54.85 congruence.
% 54.60/54.85 exact (zenon_H205 zenon_H1dc).
% 54.60/54.85 apply zenon_H19. apply refl_equal.
% 54.60/54.85 apply zenon_H19. apply refl_equal.
% 54.60/54.85 apply (zenon_L101_); trivial.
% 54.60/54.85 (* end of lemma zenon_L102_ *)
% 54.60/54.85 assert (zenon_L103_ : (((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e11)) = (e12))\/((op1 (e10) (e11)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> ((op1 (e13) (e11)) = (e11)) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> ((op1 (e12) (e11)) = (e12)) -> ((op1 (e13) (e10)) = (e12)) -> ((e12) = (op1 (op1 (op1 (e11) (e11)) (op1 (e11) (e11))) (op1 (e11) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> ((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) -> ((e10) = (op1 (e11) (e11))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> False).
% 54.60/54.85 do 0 intro. intros zenon_H206 zenon_H19d zenon_H1ff zenon_H1fd zenon_H202 zenon_H16b zenon_H155 zenon_H204 zenon_H15 zenon_H13 zenon_H17.
% 54.60/54.85 apply (zenon_or_s _ _ zenon_H206); [ zenon_intro zenon_H166 | zenon_intro zenon_H207 ].
% 54.60/54.85 apply (zenon_L78_); trivial.
% 54.60/54.85 apply (zenon_or_s _ _ zenon_H207); [ zenon_intro zenon_H1fe | zenon_intro zenon_H208 ].
% 54.60/54.85 apply (zenon_L100_); trivial.
% 54.60/54.85 apply (zenon_or_s _ _ zenon_H208); [ zenon_intro zenon_H1dc | zenon_intro zenon_H16 ].
% 54.60/54.85 apply (zenon_L102_); trivial.
% 54.60/54.85 apply (zenon_L2_); trivial.
% 54.60/54.85 (* end of lemma zenon_L103_ *)
% 54.60/54.85 assert (zenon_L104_ : (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> ((op1 (e12) (e11)) = (e12)) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> ((op1 (e13) (e11)) = (e11)) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e11)) = (e12))\/((op1 (e10) (e11)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> ((e12) = (op1 (op1 (op1 (e11) (e11)) (op1 (e11) (e11))) (op1 (e11) (e11)))) -> ((e10) = (op1 (e11) (e11))) -> ((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> False).
% 54.60/54.85 do 0 intro. intros zenon_H186 zenon_H17 zenon_H204 zenon_H202 zenon_H1fd zenon_H1ff zenon_H19d zenon_H206 zenon_H172 zenon_H179 zenon_H155 zenon_H13 zenon_H15 zenon_H180.
% 54.60/54.85 apply (zenon_or_s _ _ zenon_H186); [ zenon_intro zenon_H16b | zenon_intro zenon_H187 ].
% 54.60/54.85 apply (zenon_L103_); trivial.
% 54.60/54.85 apply (zenon_or_s _ _ zenon_H187); [ zenon_intro zenon_H171 | zenon_intro zenon_H188 ].
% 54.60/54.85 apply (zenon_L69_); trivial.
% 54.60/54.85 apply (zenon_or_s _ _ zenon_H188); [ zenon_intro zenon_H178 | zenon_intro zenon_H17f ].
% 54.60/54.85 apply (zenon_L70_); trivial.
% 54.60/54.85 apply (zenon_L71_); trivial.
% 54.60/54.85 (* end of lemma zenon_L104_ *)
% 54.60/54.85 assert (zenon_L105_ : (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> ((e12) = (op1 (op1 (op1 (e11) (e11)) (op1 (e11) (e11))) (op1 (e11) (e11)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> ((op1 (e13) (e11)) = (e11)) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e11)) = (e12))\/((op1 (e10) (e11)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e13) (e11)) = (e13))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e13)) = (e13))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> ((op1 (e11) (e10)) = (e11)) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> ((op1 (e10) (op1 (e10) (e11))) = (e11)) -> (~((op1 (e12) (e12)) = (e10))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> ((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) -> ((e10) = (op1 (e11) (e11))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> False).
% 54.60/54.85 do 0 intro. intros zenon_H1a0 zenon_H172 zenon_H155 zenon_H186 zenon_H204 zenon_H1fd zenon_H1ff zenon_H19d zenon_H206 zenon_H179 zenon_H180 zenon_H1be zenon_H1b1 zenon_H1bf zenon_H18e zenon_H1c0 zenon_H1f7 zenon_H1e8 zenon_H1a9 zenon_H163 zenon_H1ed zenon_H1f4 zenon_H1d8 zenon_H1cc zenon_H1de zenon_H1dd zenon_H1db zenon_H1da zenon_H154 zenon_H1fa zenon_H209 zenon_H17 zenon_H1e zenon_H15 zenon_H13 zenon_H25.
% 54.60/54.85 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_H1a3 | zenon_intro zenon_H1a2 ].
% 54.60/54.85 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H1dc | zenon_intro zenon_H20a ].
% 54.60/54.85 apply (zenon_or_s _ _ zenon_H186); [ zenon_intro zenon_H16b | zenon_intro zenon_H187 ].
% 54.60/54.85 apply (zenon_L99_); trivial.
% 54.60/54.85 apply (zenon_or_s _ _ zenon_H187); [ zenon_intro zenon_H171 | zenon_intro zenon_H188 ].
% 54.60/54.85 apply (zenon_L69_); trivial.
% 54.60/54.85 apply (zenon_or_s _ _ zenon_H188); [ zenon_intro zenon_H178 | zenon_intro zenon_H17f ].
% 54.60/54.85 apply (zenon_L70_); trivial.
% 54.60/54.85 apply (zenon_L71_); trivial.
% 54.60/54.85 apply (zenon_or_s _ _ zenon_H20a); [ zenon_intro zenon_H1b8 | zenon_intro zenon_H20b ].
% 54.60/54.85 apply (zenon_L87_); trivial.
% 54.60/54.85 apply (zenon_or_s _ _ zenon_H20b); [ zenon_intro zenon_H202 | zenon_intro zenon_H171 ].
% 54.60/54.85 apply (zenon_L104_); trivial.
% 54.60/54.85 apply (zenon_L69_); trivial.
% 54.60/54.85 apply (zenon_or_s _ _ zenon_H1a2); [ zenon_intro zenon_H16 | zenon_intro zenon_H1a4 ].
% 54.60/54.85 apply (zenon_L2_); trivial.
% 54.60/54.85 apply (zenon_or_s _ _ zenon_H1a4); [ zenon_intro zenon_H1d | zenon_intro zenon_H24 ].
% 54.60/54.85 apply (zenon_L3_); trivial.
% 54.60/54.85 apply (zenon_L4_); trivial.
% 54.60/54.85 (* end of lemma zenon_L105_ *)
% 54.60/54.85 assert (zenon_L106_ : (((op1 (e13) (e13)) = (e10))\/(((op1 (e13) (e13)) = (e11))\/(((op1 (e13) (e13)) = (e12))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e13) (e13)) = (e10))) -> (~((op1 (e13) (e13)) = (e11))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> ((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) -> ((e10) = (op1 (e11) (e11))) -> ((e12) = (op1 (op1 (op1 (e11) (e11)) (op1 (e11) (e11))) (op1 (e11) (e11)))) -> (~((op1 (e13) (e13)) = (e13))) -> False).
% 54.60/54.85 do 0 intro. intros zenon_H20c zenon_H193 zenon_H20d zenon_H180 zenon_H15 zenon_H13 zenon_H155 zenon_H1c0.
% 54.60/54.85 apply (zenon_or_s _ _ zenon_H20c); [ zenon_intro zenon_H196 | zenon_intro zenon_H20e ].
% 54.60/54.85 exact (zenon_H193 zenon_H196).
% 54.60/54.85 apply (zenon_or_s _ _ zenon_H20e); [ zenon_intro zenon_H210 | zenon_intro zenon_H20f ].
% 54.60/54.85 exact (zenon_H20d zenon_H210).
% 54.60/54.85 apply (zenon_or_s _ _ zenon_H20f); [ zenon_intro zenon_H17f | zenon_intro zenon_H1c4 ].
% 54.60/54.85 apply (zenon_L71_); trivial.
% 54.60/54.85 exact (zenon_H1c0 zenon_H1c4).
% 54.60/54.85 (* end of lemma zenon_L106_ *)
% 54.60/54.85 assert (zenon_L107_ : ((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13)))) -> (~((op1 (e13) (e13)) = (e10))) -> (~((op1 (e13) (e13)) = (e11))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> ((e12) = (op1 (op1 (op1 (e11) (e11)) (op1 (e11) (e11))) (op1 (e11) (e11)))) -> ((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) -> ((e10) = (op1 (e11) (e11))) -> (((op1 (e13) (e13)) = (e10))\/(((op1 (e13) (e13)) = (e11))\/(((op1 (e13) (e13)) = (e12))\/((op1 (e13) (e13)) = (e13))))) -> False).
% 54.60/54.85 do 0 intro. intros zenon_H211 zenon_H193 zenon_H20d zenon_H180 zenon_H155 zenon_H15 zenon_H13 zenon_H20c.
% 54.60/54.85 apply (zenon_or_s _ _ zenon_H211); [ zenon_intro zenon_H1c0 | zenon_intro zenon_H1c0 ].
% 54.60/54.85 apply (zenon_L106_); trivial.
% 54.60/54.85 apply (zenon_L106_); trivial.
% 54.60/54.85 (* end of lemma zenon_L107_ *)
% 54.60/54.85 assert (zenon_L108_ : (((op1 (e11) (e13)) = (e11))/\(((op1 (e13) (e11)) = (e11))/\(((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e13) (e13)) = (e10))))/\(((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11))))/\(((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e13) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13))))))))) -> (((op1 (e13) (e13)) = (e10))\/(((op1 (e13) (e13)) = (e11))\/(((op1 (e13) (e13)) = (e12))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e13) (e13)) = (e10))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> ((e12) = (op1 (op1 (op1 (e11) (e11)) (op1 (e11) (e11))) (op1 (e11) (e11)))) -> ((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) -> ((e10) = (op1 (e11) (e11))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e12) (e12)) = (e10))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> ((op1 (e10) (op1 (e10) (e11))) = (e11)) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> ((op1 (e11) (e10)) = (e11)) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e11)) = (e12))\/((op1 (e10) (e11)) = (e13))))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> False).
% 54.60/54.85 do 0 intro. intros zenon_H212 zenon_H20c zenon_H193 zenon_H1a0 zenon_H25 zenon_H1e zenon_H186 zenon_H180 zenon_H179 zenon_H172 zenon_H154 zenon_H155 zenon_H15 zenon_H13 zenon_H1be zenon_H18e zenon_H1b1 zenon_H1db zenon_H1de zenon_H1dd zenon_H1cc zenon_H1d8 zenon_H1da zenon_H1e8 zenon_H1a9 zenon_H163 zenon_H1ed zenon_H1f4 zenon_H1f7 zenon_H1fa zenon_H19d zenon_H1fd zenon_H204 zenon_H17 zenon_H206 zenon_H209.
% 54.60/54.85 apply (zenon_and_s _ _ zenon_H212). zenon_intro zenon_H214. zenon_intro zenon_H213.
% 54.60/54.85 apply (zenon_and_s _ _ zenon_H213). zenon_intro zenon_H1ff. zenon_intro zenon_H19c.
% 54.60/54.85 apply (zenon_and_s _ _ zenon_H19c). zenon_intro zenon_H216. zenon_intro zenon_H215.
% 54.60/54.85 apply (zenon_and_s _ _ zenon_H215). zenon_intro zenon_H218. zenon_intro zenon_H217.
% 54.60/54.85 apply (zenon_and_s _ _ zenon_H217). zenon_intro zenon_H219. zenon_intro zenon_H211.
% 54.60/54.85 apply (zenon_or_s _ _ zenon_H218); [ zenon_intro zenon_H1bf | zenon_intro zenon_H20d ].
% 54.60/54.85 apply (zenon_or_s _ _ zenon_H211); [ zenon_intro zenon_H1c0 | zenon_intro zenon_H1c0 ].
% 54.60/54.85 apply (zenon_L105_); trivial.
% 54.60/54.85 apply (zenon_L105_); trivial.
% 54.60/54.85 apply (zenon_L107_); trivial.
% 54.60/54.85 (* end of lemma zenon_L108_ *)
% 54.60/54.85 assert (zenon_L109_ : (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> ((e12) = (op1 (op1 (op1 (e11) (e11)) (op1 (e11) (e11))) (op1 (e11) (e11)))) -> ((op1 (e12) (e10)) = (e12)) -> ((e10) = (op1 (e11) (e11))) -> ((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) -> False).
% 54.60/54.85 do 0 intro. intros zenon_H21a zenon_H155 zenon_H21b zenon_H13 zenon_H15.
% 54.60/54.85 cut (((e12) = (op1 (op1 (op1 (e11) (e11)) (op1 (e11) (e11))) (op1 (e11) (e11)))) = ((op1 (e12) (e10)) = (op1 (e13) (e10)))).
% 54.60/54.85 intro zenon_D_pnotp.
% 54.60/54.85 apply zenon_H21a.
% 54.60/54.85 rewrite <- zenon_D_pnotp.
% 54.60/54.85 exact zenon_H155.
% 54.60/54.85 cut (((op1 (op1 (op1 (e11) (e11)) (op1 (e11) (e11))) (op1 (e11) (e11))) = (op1 (e13) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H152].
% 54.60/54.85 cut (((e12) = (op1 (e12) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H21c].
% 54.60/54.85 congruence.
% 54.60/54.85 elim (classic ((op1 (e12) (e10)) = (op1 (e12) (e10)))); [ zenon_intro zenon_H21d | zenon_intro zenon_H21e ].
% 54.60/54.85 cut (((op1 (e12) (e10)) = (op1 (e12) (e10))) = ((e12) = (op1 (e12) (e10)))).
% 54.60/54.85 intro zenon_D_pnotp.
% 54.60/54.85 apply zenon_H21c.
% 54.60/54.85 rewrite <- zenon_D_pnotp.
% 54.60/54.85 exact zenon_H21d.
% 54.60/54.85 cut (((op1 (e12) (e10)) = (op1 (e12) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H21e].
% 54.60/54.85 cut (((op1 (e12) (e10)) = (e12))); [idtac | apply NNPP; zenon_intro zenon_H21f].
% 54.60/54.85 congruence.
% 54.60/54.85 exact (zenon_H21f zenon_H21b).
% 54.60/54.85 apply zenon_H21e. apply refl_equal.
% 54.60/54.85 apply zenon_H21e. apply refl_equal.
% 54.60/54.85 apply (zenon_L62_); trivial.
% 54.60/54.85 (* end of lemma zenon_L109_ *)
% 54.60/54.85 assert (zenon_L110_ : (((op1 (e12) (e10)) = (e12))/\(((op1 (e10) (e12)) = (e12))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11))))/\(((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12))))/\((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13))))))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> ((e12) = (op1 (op1 (op1 (e11) (e11)) (op1 (e11) (e11))) (op1 (e11) (e11)))) -> ((e10) = (op1 (e11) (e11))) -> ((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) -> False).
% 54.60/54.85 do 0 intro. intros zenon_H220 zenon_H21a zenon_H155 zenon_H13 zenon_H15.
% 54.60/54.85 apply (zenon_and_s _ _ zenon_H220). zenon_intro zenon_H21b. zenon_intro zenon_H221.
% 54.60/54.85 apply (zenon_L109_); trivial.
% 54.60/54.85 (* end of lemma zenon_L110_ *)
% 54.60/54.85 assert (zenon_L111_ : (((op1 (e12) (e11)) = (e12))/\(((op1 (e11) (e12)) = (e12))/\(((~((op1 (e11) (e10)) = (e11)))\/(~((op1 (e11) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e11) (e12)) = (e11)))\/(~((op1 (e11) (e11)) = (e12))))/\((~((op1 (e11) (e13)) = (e11)))\/(~((op1 (e11) (e11)) = (e13))))))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> ((e10) = (op1 (e11) (e11))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> ((e12) = (op1 (op1 (op1 (e11) (e11)) (op1 (e11) (e11))) (op1 (e11) (e11)))) -> ((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e12))\/((op1 (e11) (e10)) = (e13))))) -> False).
% 54.60/54.85 do 0 intro. intros zenon_H222 zenon_H14b zenon_H13 zenon_H154 zenon_H155 zenon_H15 zenon_H15a zenon_H15f.
% 54.60/54.85 apply (zenon_and_s _ _ zenon_H222). zenon_intro zenon_H202. zenon_intro zenon_H223.
% 54.60/54.85 apply (zenon_and_s _ _ zenon_H223). zenon_intro zenon_H1c6. zenon_intro zenon_H167.
% 54.60/54.85 apply (zenon_and_s _ _ zenon_H167). zenon_intro zenon_H15e. zenon_intro zenon_H168.
% 54.60/54.85 apply (zenon_L65_); trivial.
% 54.60/54.85 (* end of lemma zenon_L111_ *)
% 54.60/54.85 assert (zenon_L112_ : ((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12)))) -> ((op1 (e12) (e12)) = (e12)) -> False).
% 54.60/54.85 do 0 intro. intros zenon_H224 zenon_H1cb.
% 54.60/54.85 apply (zenon_or_s _ _ zenon_H224); [ zenon_intro zenon_H1d1 | zenon_intro zenon_H1d1 ].
% 54.60/54.85 exact (zenon_H1d1 zenon_H1cb).
% 54.60/54.85 exact (zenon_H1d1 zenon_H1cb).
% 54.60/54.85 (* end of lemma zenon_L112_ *)
% 54.60/54.85 assert (zenon_L113_ : (((op1 (e12) (e12)) = (e12))/\(((op1 (e12) (e12)) = (e12))/\(((~((op1 (e12) (e10)) = (e12)))\/(~((op1 (e12) (e12)) = (e10))))/\(((~((op1 (e12) (e11)) = (e12)))\/(~((op1 (e12) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13))))))))) -> False).
% 54.60/54.85 do 0 intro. intros zenon_H225.
% 54.60/54.85 apply (zenon_and_s _ _ zenon_H225). zenon_intro zenon_H1cb. zenon_intro zenon_H226.
% 54.60/54.85 apply (zenon_and_s _ _ zenon_H226). zenon_intro zenon_H1cb. zenon_intro zenon_H227.
% 54.60/54.85 apply (zenon_and_s _ _ zenon_H227). zenon_intro zenon_H229. zenon_intro zenon_H228.
% 54.60/54.85 apply (zenon_and_s _ _ zenon_H228). zenon_intro zenon_H22b. zenon_intro zenon_H22a.
% 54.60/54.85 apply (zenon_and_s _ _ zenon_H22a). zenon_intro zenon_H224. zenon_intro zenon_H22c.
% 54.60/54.85 apply (zenon_L112_); trivial.
% 54.60/54.85 (* end of lemma zenon_L113_ *)
% 54.60/54.85 assert (zenon_L114_ : (((op1 (e12) (e13)) = (e12))/\(((op1 (e13) (e12)) = (e12))/\(((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e13) (e13)) = (e10))))/\(((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11))))/\(((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e13) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13))))))))) -> ((e12) = (op1 (op1 (op1 (e11) (e11)) (op1 (e11) (e11))) (op1 (e11) (e11)))) -> ((e10) = (op1 (e11) (e11))) -> ((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> False).
% 54.60/54.85 do 0 intro. intros zenon_H22d zenon_H155 zenon_H13 zenon_H15 zenon_H179.
% 54.60/54.85 apply (zenon_and_s _ _ zenon_H22d). zenon_intro zenon_H22f. zenon_intro zenon_H22e.
% 54.60/54.85 apply (zenon_and_s _ _ zenon_H22e). zenon_intro zenon_H178. zenon_intro zenon_H19c.
% 54.60/54.85 apply (zenon_L70_); trivial.
% 54.60/54.85 (* end of lemma zenon_L114_ *)
% 54.60/54.85 assert (zenon_L115_ : (((op1 (e13) (e10)) = (e13))/\(((op1 (e10) (e13)) = (e13))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11))))/\(((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12))))/\((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13))))))))) -> ((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) -> ((e10) = (op1 (e11) (e11))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> False).
% 54.60/54.85 do 0 intro. intros zenon_H230 zenon_H15 zenon_H13 zenon_H25.
% 54.60/54.85 apply (zenon_and_s _ _ zenon_H230). zenon_intro zenon_H1b0. zenon_intro zenon_H231.
% 54.60/54.85 apply (zenon_and_s _ _ zenon_H231). zenon_intro zenon_H24. zenon_intro zenon_H149.
% 54.60/54.85 apply (zenon_L4_); trivial.
% 54.60/54.85 (* end of lemma zenon_L115_ *)
% 54.60/54.85 assert (zenon_L116_ : (((op1 (e13) (e11)) = (e13))/\(((op1 (e11) (e13)) = (e13))/\(((~((op1 (e11) (e10)) = (e11)))\/(~((op1 (e11) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e11) (e12)) = (e11)))\/(~((op1 (e11) (e11)) = (e12))))/\((~((op1 (e11) (e13)) = (e11)))\/(~((op1 (e11) (e11)) = (e13))))))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> ((e10) = (op1 (e11) (e11))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> ((e12) = (op1 (op1 (op1 (e11) (e11)) (op1 (e11) (e11))) (op1 (e11) (e11)))) -> ((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e12))\/((op1 (e11) (e10)) = (e13))))) -> False).
% 54.60/54.85 do 0 intro. intros zenon_H232 zenon_H14b zenon_H13 zenon_H154 zenon_H155 zenon_H15 zenon_H15a zenon_H15f.
% 54.60/54.85 apply (zenon_and_s _ _ zenon_H232). zenon_intro zenon_H1c3. zenon_intro zenon_H233.
% 54.60/54.85 apply (zenon_and_s _ _ zenon_H233). zenon_intro zenon_H234. zenon_intro zenon_H167.
% 54.60/54.85 apply (zenon_and_s _ _ zenon_H167). zenon_intro zenon_H15e. zenon_intro zenon_H168.
% 54.60/54.85 apply (zenon_L65_); trivial.
% 54.60/54.85 (* end of lemma zenon_L116_ *)
% 54.60/54.85 assert (zenon_L117_ : (~((e12) = (e12))) -> False).
% 54.60/54.85 do 0 intro. intros zenon_H16e.
% 54.60/54.85 apply zenon_H16e. apply refl_equal.
% 54.60/54.85 (* end of lemma zenon_L117_ *)
% 54.60/54.85 assert (zenon_L118_ : ((op1 (e12) (e13)) = (e12)) -> ((op1 (e12) (e13)) = (e13)) -> (~((e12) = (e13))) -> False).
% 54.60/54.85 do 0 intro. intros zenon_H22f zenon_H235 zenon_H236.
% 54.60/54.85 elim (classic ((e13) = (e13))); [ zenon_intro zenon_H237 | zenon_intro zenon_H238 ].
% 54.60/54.85 cut (((e13) = (e13)) = ((e12) = (e13))).
% 54.60/54.85 intro zenon_D_pnotp.
% 54.60/54.85 apply zenon_H236.
% 54.60/54.85 rewrite <- zenon_D_pnotp.
% 54.60/54.85 exact zenon_H237.
% 54.60/54.85 cut (((e13) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H238].
% 54.60/54.85 cut (((e13) = (e12))); [idtac | apply NNPP; zenon_intro zenon_H239].
% 54.60/54.85 congruence.
% 54.60/54.85 cut (((op1 (e12) (e13)) = (e12)) = ((e13) = (e12))).
% 54.60/54.85 intro zenon_D_pnotp.
% 54.60/54.85 apply zenon_H239.
% 54.60/54.85 rewrite <- zenon_D_pnotp.
% 54.60/54.85 exact zenon_H22f.
% 54.60/54.85 cut (((e12) = (e12))); [idtac | apply NNPP; zenon_intro zenon_H16e].
% 54.60/54.85 cut (((op1 (e12) (e13)) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H23a].
% 54.60/54.85 congruence.
% 54.60/54.85 exact (zenon_H23a zenon_H235).
% 54.60/54.85 apply zenon_H16e. apply refl_equal.
% 54.60/54.85 apply zenon_H238. apply refl_equal.
% 54.60/54.85 apply zenon_H238. apply refl_equal.
% 54.60/54.85 (* end of lemma zenon_L118_ *)
% 54.60/54.85 assert (zenon_L119_ : (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> ((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) -> ((e10) = (op1 (e11) (e11))) -> ((e12) = (op1 (op1 (op1 (e11) (e11)) (op1 (e11) (e11))) (op1 (e11) (e11)))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e12) (e11)) = (e12))) -> (~((op1 (e12) (e12)) = (e12))) -> ((op1 (e12) (e13)) = (e13)) -> (~((e12) = (e13))) -> False).
% 54.60/54.85 do 0 intro. intros zenon_H23b zenon_H15 zenon_H13 zenon_H155 zenon_H21a zenon_H23c zenon_H1d1 zenon_H235 zenon_H236.
% 54.60/54.85 apply (zenon_or_s _ _ zenon_H23b); [ zenon_intro zenon_H21b | zenon_intro zenon_H23d ].
% 54.60/54.85 apply (zenon_L109_); trivial.
% 54.60/54.85 apply (zenon_or_s _ _ zenon_H23d); [ zenon_intro zenon_H202 | zenon_intro zenon_H23e ].
% 54.60/54.85 exact (zenon_H23c zenon_H202).
% 54.60/54.85 apply (zenon_or_s _ _ zenon_H23e); [ zenon_intro zenon_H1cb | zenon_intro zenon_H22f ].
% 54.60/54.85 exact (zenon_H1d1 zenon_H1cb).
% 54.60/54.85 apply (zenon_L118_); trivial.
% 54.60/54.85 (* end of lemma zenon_L119_ *)
% 54.60/54.85 assert (zenon_L120_ : (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (~((op1 (e12) (e12)) = (e10))) -> (~((op1 (e12) (e12)) = (e11))) -> (~((op1 (e12) (e12)) = (e12))) -> ((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) -> ((op1 (e13) (e12)) = (e13)) -> ((op1 (e10) (e10)) = (e13)) -> ((e10) = (op1 (e11) (e11))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> False).
% 54.60/54.85 do 0 intro. intros zenon_H1da zenon_H1db zenon_H23f zenon_H1d1 zenon_H15 zenon_H1ba zenon_H1a3 zenon_H13 zenon_H1d8.
% 54.60/54.85 apply (zenon_or_s _ _ zenon_H1da); [ zenon_intro zenon_H1e0 | zenon_intro zenon_H1df ].
% 54.60/54.85 exact (zenon_H1db zenon_H1e0).
% 54.60/54.85 apply (zenon_or_s _ _ zenon_H1df); [ zenon_intro zenon_H1e2 | zenon_intro zenon_H1e1 ].
% 54.60/54.85 exact (zenon_H23f zenon_H1e2).
% 54.60/54.85 apply (zenon_or_s _ _ zenon_H1e1); [ zenon_intro zenon_H1cb | zenon_intro zenon_H1d3 ].
% 54.60/54.85 exact (zenon_H1d1 zenon_H1cb).
% 54.60/54.85 apply (zenon_L91_); trivial.
% 54.60/54.85 (* end of lemma zenon_L120_ *)
% 54.60/54.85 assert (zenon_L121_ : (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e13) (e12)) = (e13)) -> (~((op1 (e12) (e12)) = (e12))) -> (~((op1 (e12) (e12)) = (e11))) -> (~((op1 (e12) (e12)) = (e10))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> ((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) -> ((e10) = (op1 (e11) (e11))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> False).
% 54.60/54.85 do 0 intro. intros zenon_H1a0 zenon_H1d8 zenon_H1ba zenon_H1d1 zenon_H23f zenon_H1db zenon_H1da zenon_H17 zenon_H1e zenon_H15 zenon_H13 zenon_H25.
% 54.60/54.85 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_H1a3 | zenon_intro zenon_H1a2 ].
% 54.60/54.85 apply (zenon_L120_); trivial.
% 54.60/54.85 apply (zenon_or_s _ _ zenon_H1a2); [ zenon_intro zenon_H16 | zenon_intro zenon_H1a4 ].
% 54.60/54.85 apply (zenon_L2_); trivial.
% 54.60/54.85 apply (zenon_or_s _ _ zenon_H1a4); [ zenon_intro zenon_H1d | zenon_intro zenon_H24 ].
% 54.60/54.85 apply (zenon_L3_); trivial.
% 54.60/54.85 apply (zenon_L4_); trivial.
% 54.60/54.85 (* end of lemma zenon_L121_ *)
% 54.60/54.85 assert (zenon_L122_ : ((~((op1 (e12) (e11)) = (e12)))\/(~((op1 (e12) (e12)) = (e11)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (~((op1 (e12) (e12)) = (e10))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e13) (e12)) = (e13)) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> ((op1 (e12) (e13)) = (e13)) -> (~((e12) = (e13))) -> ((e10) = (op1 (e11) (e11))) -> ((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) -> ((e12) = (op1 (op1 (op1 (e11) (e11)) (op1 (e11) (e11))) (op1 (e11) (e11)))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> ((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12)))) -> False).
% 54.60/54.85 do 0 intro. intros zenon_H22b zenon_H1a0 zenon_H25 zenon_H1e zenon_H17 zenon_H1db zenon_H1d8 zenon_H1ba zenon_H1da zenon_H23b zenon_H235 zenon_H236 zenon_H13 zenon_H15 zenon_H155 zenon_H21a zenon_H224.
% 54.60/54.85 apply (zenon_or_s _ _ zenon_H22b); [ zenon_intro zenon_H23c | zenon_intro zenon_H23f ].
% 54.60/54.85 apply (zenon_or_s _ _ zenon_H224); [ zenon_intro zenon_H1d1 | zenon_intro zenon_H1d1 ].
% 54.60/54.85 apply (zenon_L119_); trivial.
% 54.60/54.85 apply (zenon_L119_); trivial.
% 54.60/54.85 apply (zenon_or_s _ _ zenon_H224); [ zenon_intro zenon_H1d1 | zenon_intro zenon_H1d1 ].
% 54.60/54.85 apply (zenon_L121_); trivial.
% 54.60/54.85 apply (zenon_L121_); trivial.
% 54.60/54.85 (* end of lemma zenon_L122_ *)
% 54.60/54.85 assert (zenon_L123_ : (((op1 (e13) (e12)) = (e13))/\(((op1 (e12) (e13)) = (e13))/\(((~((op1 (e12) (e10)) = (e12)))\/(~((op1 (e12) (e12)) = (e10))))/\(((~((op1 (e12) (e11)) = (e12)))\/(~((op1 (e12) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13))))))))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (~((op1 (e12) (e12)) = (e10))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((e12) = (e13))) -> ((e10) = (op1 (e11) (e11))) -> ((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) -> ((e12) = (op1 (op1 (op1 (e11) (e11)) (op1 (e11) (e11))) (op1 (e11) (e11)))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> False).
% 54.60/54.85 do 0 intro. intros zenon_H240 zenon_H1a0 zenon_H25 zenon_H1e zenon_H17 zenon_H1db zenon_H1d8 zenon_H1da zenon_H23b zenon_H236 zenon_H13 zenon_H15 zenon_H155 zenon_H21a.
% 54.60/54.85 apply (zenon_and_s _ _ zenon_H240). zenon_intro zenon_H1ba. zenon_intro zenon_H241.
% 54.60/54.85 apply (zenon_and_s _ _ zenon_H241). zenon_intro zenon_H235. zenon_intro zenon_H227.
% 54.60/54.85 apply (zenon_and_s _ _ zenon_H227). zenon_intro zenon_H229. zenon_intro zenon_H228.
% 54.60/54.85 apply (zenon_and_s _ _ zenon_H228). zenon_intro zenon_H22b. zenon_intro zenon_H22a.
% 54.60/54.85 apply (zenon_and_s _ _ zenon_H22a). zenon_intro zenon_H224. zenon_intro zenon_H22c.
% 54.60/54.85 apply (zenon_L122_); trivial.
% 54.60/54.85 (* end of lemma zenon_L123_ *)
% 54.60/54.85 assert (zenon_L124_ : ((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13)))) -> ((op1 (e13) (e13)) = (e13)) -> False).
% 54.60/54.85 do 0 intro. intros zenon_H211 zenon_H1c4.
% 54.60/54.85 apply (zenon_or_s _ _ zenon_H211); [ zenon_intro zenon_H1c0 | zenon_intro zenon_H1c0 ].
% 54.60/54.85 exact (zenon_H1c0 zenon_H1c4).
% 54.60/54.85 exact (zenon_H1c0 zenon_H1c4).
% 54.60/54.85 (* end of lemma zenon_L124_ *)
% 54.60/54.85 assert (zenon_L125_ : (((op1 (e13) (e13)) = (e13))/\(((op1 (e13) (e13)) = (e13))/\(((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e13) (e13)) = (e10))))/\(((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11))))/\(((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e13) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13))))))))) -> False).
% 54.60/54.85 do 0 intro. intros zenon_H242.
% 54.60/54.85 apply (zenon_and_s _ _ zenon_H242). zenon_intro zenon_H1c4. zenon_intro zenon_H243.
% 54.60/54.85 apply (zenon_and_s _ _ zenon_H243). zenon_intro zenon_H1c4. zenon_intro zenon_H19c.
% 54.60/54.85 apply (zenon_and_s _ _ zenon_H19c). zenon_intro zenon_H216. zenon_intro zenon_H215.
% 54.60/54.85 apply (zenon_and_s _ _ zenon_H215). zenon_intro zenon_H218. zenon_intro zenon_H217.
% 54.60/54.85 apply (zenon_and_s _ _ zenon_H217). zenon_intro zenon_H219. zenon_intro zenon_H211.
% 54.60/54.85 apply (zenon_L124_); trivial.
% 54.60/54.85 (* end of lemma zenon_L125_ *)
% 54.60/54.85 assert (zenon_L126_ : (((op1 (e10) (op1 (e10) (e10))) = (e10))/\(((op1 (e10) (op1 (e10) (e11))) = (e11))/\(((op1 (e10) (op1 (e10) (e12))) = (e12))/\(((op1 (e10) (op1 (e10) (e13))) = (e13))/\(((~((op1 (e10) (e10)) = (e10)))\/((op1 (e10) (e10)) = (e10)))/\(((~((op1 (e11) (e11)) = (e10)))\/((op1 (e11) (e10)) = (e11)))/\(((~((op1 (e12) (e12)) = (e10)))\/((op1 (e12) (e10)) = (e12)))/\((~((op1 (e13) (e13)) = (e10)))\/((op1 (e13) (e10)) = (e13)))))))))) -> ((e10) = (op1 (e11) (e11))) -> ((((op1 (e10) (e10)) = (e10))/\(((op1 (e10) (e10)) = (e10))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11))))/\(((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12))))/\((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))))))))\/((((op1 (e10) (e11)) = (e10))/\(((op1 (e11) (e10)) = (e10))/\(((~((op1 (e11) (e10)) = (e11)))\/(~((op1 (e11) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e11) (e12)) = (e11)))\/(~((op1 (e11) (e11)) = (e12))))/\((~((op1 (e11) (e13)) = (e11)))\/(~((op1 (e11) (e11)) = (e13)))))))))\/((((op1 (e10) (e12)) = (e10))/\(((op1 (e12) (e10)) = (e10))/\(((~((op1 (e12) (e10)) = (e12)))\/(~((op1 (e12) (e12)) = (e10))))/\(((~((op1 (e12) (e11)) = (e12)))\/(~((op1 (e12) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13)))))))))\/((((op1 (e10) (e13)) = (e10))/\(((op1 (e13) (e10)) = (e10))/\(((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e13) (e13)) = (e10))))/\(((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11))))/\(((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e13) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13)))))))))\/((((op1 (e11) (e10)) = (e11))/\(((op1 (e10) (e11)) = (e11))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11))))/\(((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12))))/\((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))))))))\/((((op1 (e11) (e11)) = (e11))/\(((op1 (e11) (e11)) = (e11))/\(((~((op1 (e11) (e10)) = (e11)))\/(~((op1 (e11) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e11) (e12)) = (e11)))\/(~((op1 (e11) (e11)) = (e12))))/\((~((op1 (e11) (e13)) = (e11)))\/(~((op1 (e11) (e11)) = (e13)))))))))\/((((op1 (e11) (e12)) = (e11))/\(((op1 (e12) (e11)) = (e11))/\(((~((op1 (e12) (e10)) = (e12)))\/(~((op1 (e12) (e12)) = (e10))))/\(((~((op1 (e12) (e11)) = (e12)))\/(~((op1 (e12) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13)))))))))\/((((op1 (e11) (e13)) = (e11))/\(((op1 (e13) (e11)) = (e11))/\(((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e13) (e13)) = (e10))))/\(((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11))))/\(((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e13) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13)))))))))\/((((op1 (e12) (e10)) = (e12))/\(((op1 (e10) (e12)) = (e12))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11))))/\(((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12))))/\((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))))))))\/((((op1 (e12) (e11)) = (e12))/\(((op1 (e11) (e12)) = (e12))/\(((~((op1 (e11) (e10)) = (e11)))\/(~((op1 (e11) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e11) (e12)) = (e11)))\/(~((op1 (e11) (e11)) = (e12))))/\((~((op1 (e11) (e13)) = (e11)))\/(~((op1 (e11) (e11)) = (e13)))))))))\/((((op1 (e12) (e12)) = (e12))/\(((op1 (e12) (e12)) = (e12))/\(((~((op1 (e12) (e10)) = (e12)))\/(~((op1 (e12) (e12)) = (e10))))/\(((~((op1 (e12) (e11)) = (e12)))\/(~((op1 (e12) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13)))))))))\/((((op1 (e12) (e13)) = (e12))/\(((op1 (e13) (e12)) = (e12))/\(((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e13) (e13)) = (e10))))/\(((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11))))/\(((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e13) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13)))))))))\/((((op1 (e13) (e10)) = (e13))/\(((op1 (e10) (e13)) = (e13))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11))))/\(((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12))))/\((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))))))))\/((((op1 (e13) (e11)) = (e13))/\(((op1 (e11) (e13)) = (e13))/\(((~((op1 (e11) (e10)) = (e11)))\/(~((op1 (e11) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e11) (e12)) = (e11)))\/(~((op1 (e11) (e11)) = (e12))))/\((~((op1 (e11) (e13)) = (e11)))\/(~((op1 (e11) (e11)) = (e13)))))))))\/((((op1 (e13) (e12)) = (e13))/\(((op1 (e12) (e13)) = (e13))/\(((~((op1 (e12) (e10)) = (e12)))\/(~((op1 (e12) (e12)) = (e10))))/\(((~((op1 (e12) (e11)) = (e12)))\/(~((op1 (e12) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13)))))))))\/(((op1 (e13) (e13)) = (e13))/\(((op1 (e13) (e13)) = (e13))/\(((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e13) (e13)) = (e10))))/\(((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11))))/\(((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e13) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13)))))))))))))))))))))))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((e12) = (e13))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e13) (e13)) = (e10))\/(((op1 (e13) (e13)) = (e11))\/(((op1 (e13) (e13)) = (e12))\/((op1 (e13) (e13)) = (e13))))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (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) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e11)) = (e12))\/((op1 (e10) (e11)) = (e13))))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((e10) = (e12))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> ((e12) = (op1 (op1 (op1 (e11) (e11)) (op1 (e11) (e11))) (op1 (e11) (e11)))) -> ((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e12))\/((op1 (e11) (e10)) = (e13))))) -> False).
% 54.60/54.85 do 0 intro. intros zenon_H244 zenon_H13 zenon_H245 zenon_H23b zenon_H236 zenon_H21a zenon_H20c zenon_H1be zenon_H1b1 zenon_H1de zenon_H1cc zenon_H1d8 zenon_H1da zenon_H1e8 zenon_H1ed zenon_H1f4 zenon_H1f7 zenon_H1fa zenon_H1fd zenon_H204 zenon_H206 zenon_H209 zenon_H1a9 zenon_H17 zenon_H1e zenon_H25 zenon_H1a0 zenon_H19d zenon_H246 zenon_H192 zenon_H18e zenon_H18a zenon_H16c zenon_H172 zenon_H179 zenon_H180 zenon_H186 zenon_H14b zenon_H154 zenon_H155 zenon_H15 zenon_H15a zenon_H15f.
% 54.60/54.85 apply (zenon_and_s _ _ zenon_H244). zenon_intro zenon_H248. zenon_intro zenon_H247.
% 54.60/54.85 apply (zenon_and_s _ _ zenon_H247). zenon_intro zenon_H1dd. zenon_intro zenon_H249.
% 54.60/54.85 apply (zenon_and_s _ _ zenon_H249). zenon_intro zenon_H24b. zenon_intro zenon_H24a.
% 54.60/54.85 apply (zenon_and_s _ _ zenon_H24a). zenon_intro zenon_H24d. zenon_intro zenon_H24c.
% 54.60/54.85 apply (zenon_and_s _ _ zenon_H24c). zenon_intro zenon_H24f. zenon_intro zenon_H24e.
% 54.60/54.85 apply (zenon_and_s _ _ zenon_H24e). zenon_intro zenon_H251. zenon_intro zenon_H250.
% 54.60/54.85 apply (zenon_and_s _ _ zenon_H250). zenon_intro zenon_H253. zenon_intro zenon_H252.
% 54.60/54.85 apply (zenon_or_s _ _ zenon_H24f); [ zenon_intro zenon_H146 | zenon_intro zenon_H145 ].
% 54.60/54.85 apply (zenon_or_s _ _ zenon_H251); [ zenon_intro zenon_H14 | zenon_intro zenon_H163 ].
% 54.60/54.85 apply zenon_H14. apply sym_equal. exact zenon_H13.
% 54.60/54.85 apply (zenon_or_s _ _ zenon_H253); [ zenon_intro zenon_H1db | zenon_intro zenon_H21b ].
% 54.60/54.85 apply (zenon_or_s _ _ zenon_H252); [ zenon_intro zenon_H193 | zenon_intro zenon_H1b0 ].
% 54.60/54.85 apply (zenon_or_s _ _ zenon_H245); [ zenon_intro zenon_H147 | zenon_intro zenon_H254 ].
% 54.60/54.85 apply (zenon_L60_); trivial.
% 54.60/54.85 apply (zenon_or_s _ _ zenon_H254); [ zenon_intro zenon_H164 | zenon_intro zenon_H255 ].
% 54.60/54.85 apply (zenon_L66_); trivial.
% 54.60/54.85 apply (zenon_or_s _ _ zenon_H255); [ zenon_intro zenon_H197 | zenon_intro zenon_H256 ].
% 54.60/54.85 apply (zenon_L76_); trivial.
% 54.60/54.85 apply (zenon_or_s _ _ zenon_H256); [ zenon_intro zenon_H199 | zenon_intro zenon_H257 ].
% 54.60/54.85 apply (zenon_L77_); trivial.
% 54.60/54.85 apply (zenon_or_s _ _ zenon_H257); [ zenon_intro zenon_H259 | zenon_intro zenon_H258 ].
% 54.60/54.85 apply (zenon_and_s _ _ zenon_H259). zenon_intro zenon_H163. zenon_intro zenon_H25a.
% 54.60/54.85 apply (zenon_and_s _ _ zenon_H25a). zenon_intro zenon_H1fe. zenon_intro zenon_H149.
% 54.60/54.85 apply (zenon_and_s _ _ zenon_H149). zenon_intro zenon_H144. zenon_intro zenon_H14a.
% 54.60/54.85 apply (zenon_and_s _ _ zenon_H14a). zenon_intro zenon_H25c. zenon_intro zenon_H25b.
% 54.60/54.85 apply (zenon_and_s _ _ zenon_H25b). zenon_intro zenon_H25e. zenon_intro zenon_H25d.
% 54.60/54.85 apply (zenon_or_s _ _ zenon_H25d); [ zenon_intro zenon_H25f | zenon_intro zenon_H1a1 ].
% 54.60/54.85 apply (zenon_or_s _ _ zenon_H246); [ zenon_intro zenon_H145 | zenon_intro zenon_H260 ].
% 54.60/54.85 exact (zenon_H146 zenon_H145).
% 54.60/54.85 apply (zenon_or_s _ _ zenon_H260); [ zenon_intro zenon_H166 | zenon_intro zenon_H261 ].
% 54.60/54.85 apply (zenon_L78_); trivial.
% 54.60/54.85 apply (zenon_or_s _ _ zenon_H261); [ zenon_intro zenon_H18f | zenon_intro zenon_H19b ].
% 54.60/54.85 apply (zenon_L75_); trivial.
% 54.60/54.85 exact (zenon_H25f zenon_H19b).
% 54.60/54.85 apply (zenon_L79_); trivial.
% 54.60/54.85 apply (zenon_or_s _ _ zenon_H258); [ zenon_intro zenon_H1a5 | zenon_intro zenon_H262 ].
% 54.60/54.85 apply (zenon_L80_); trivial.
% 54.60/54.85 apply (zenon_or_s _ _ zenon_H262); [ zenon_intro zenon_H1ae | zenon_intro zenon_H263 ].
% 54.60/54.85 apply (zenon_L83_); trivial.
% 54.60/54.85 apply (zenon_or_s _ _ zenon_H263); [ zenon_intro zenon_H212 | zenon_intro zenon_H264 ].
% 54.60/54.85 apply (zenon_L108_); trivial.
% 54.60/54.85 apply (zenon_or_s _ _ zenon_H264); [ zenon_intro zenon_H220 | zenon_intro zenon_H265 ].
% 54.60/54.85 apply (zenon_L110_); trivial.
% 54.60/54.85 apply (zenon_or_s _ _ zenon_H265); [ zenon_intro zenon_H222 | zenon_intro zenon_H266 ].
% 54.60/54.85 apply (zenon_L111_); trivial.
% 54.60/54.85 apply (zenon_or_s _ _ zenon_H266); [ zenon_intro zenon_H225 | zenon_intro zenon_H267 ].
% 54.60/54.85 apply (zenon_L113_); trivial.
% 54.60/54.85 apply (zenon_or_s _ _ zenon_H267); [ zenon_intro zenon_H22d | zenon_intro zenon_H268 ].
% 54.60/54.85 apply (zenon_L114_); trivial.
% 54.60/54.85 apply (zenon_or_s _ _ zenon_H268); [ zenon_intro zenon_H230 | zenon_intro zenon_H269 ].
% 54.60/54.85 apply (zenon_L115_); trivial.
% 54.60/54.85 apply (zenon_or_s _ _ zenon_H269); [ zenon_intro zenon_H232 | zenon_intro zenon_H26a ].
% 54.60/54.85 apply (zenon_L116_); trivial.
% 54.60/54.85 apply (zenon_or_s _ _ zenon_H26a); [ zenon_intro zenon_H240 | zenon_intro zenon_H242 ].
% 54.60/54.85 apply (zenon_L123_); trivial.
% 54.60/54.85 apply (zenon_L125_); trivial.
% 54.60/54.85 apply (zenon_L84_); trivial.
% 54.60/54.85 apply (zenon_L109_); trivial.
% 54.60/54.85 apply (zenon_or_s _ _ zenon_H251); [ zenon_intro zenon_H14 | zenon_intro zenon_H163 ].
% 54.60/54.85 apply zenon_H14. apply sym_equal. exact zenon_H13.
% 54.60/54.85 apply (zenon_or_s _ _ zenon_H253); [ zenon_intro zenon_H1db | zenon_intro zenon_H21b ].
% 54.60/54.85 apply (zenon_or_s _ _ zenon_H252); [ zenon_intro zenon_H193 | zenon_intro zenon_H1b0 ].
% 54.60/54.85 apply (zenon_or_s _ _ zenon_H245); [ zenon_intro zenon_H147 | zenon_intro zenon_H254 ].
% 54.60/54.85 apply (zenon_L60_); trivial.
% 54.60/54.85 apply (zenon_or_s _ _ zenon_H254); [ zenon_intro zenon_H164 | zenon_intro zenon_H255 ].
% 54.60/54.85 apply (zenon_L66_); trivial.
% 54.60/54.85 apply (zenon_or_s _ _ zenon_H255); [ zenon_intro zenon_H197 | zenon_intro zenon_H256 ].
% 54.60/54.85 apply (zenon_L76_); trivial.
% 54.60/54.85 apply (zenon_or_s _ _ zenon_H256); [ zenon_intro zenon_H199 | zenon_intro zenon_H257 ].
% 54.60/54.85 apply (zenon_L77_); trivial.
% 54.60/54.85 apply (zenon_or_s _ _ zenon_H257); [ zenon_intro zenon_H259 | zenon_intro zenon_H258 ].
% 54.60/54.85 apply (zenon_and_s _ _ zenon_H259). zenon_intro zenon_H163. zenon_intro zenon_H25a.
% 54.60/54.85 apply (zenon_and_s _ _ zenon_H25a). zenon_intro zenon_H1fe. zenon_intro zenon_H149.
% 54.60/54.85 apply (zenon_and_s _ _ zenon_H149). zenon_intro zenon_H144. zenon_intro zenon_H14a.
% 54.60/54.85 apply (zenon_L59_); trivial.
% 54.60/54.85 apply (zenon_or_s _ _ zenon_H258); [ zenon_intro zenon_H1a5 | zenon_intro zenon_H262 ].
% 54.60/54.85 apply (zenon_L80_); trivial.
% 54.60/54.85 apply (zenon_or_s _ _ zenon_H262); [ zenon_intro zenon_H1ae | zenon_intro zenon_H263 ].
% 54.60/54.85 apply (zenon_L83_); trivial.
% 54.60/54.85 apply (zenon_or_s _ _ zenon_H263); [ zenon_intro zenon_H212 | zenon_intro zenon_H264 ].
% 54.60/54.85 apply (zenon_L108_); trivial.
% 54.60/54.85 apply (zenon_or_s _ _ zenon_H264); [ zenon_intro zenon_H220 | zenon_intro zenon_H265 ].
% 54.60/54.85 apply (zenon_L110_); trivial.
% 54.60/54.85 apply (zenon_or_s _ _ zenon_H265); [ zenon_intro zenon_H222 | zenon_intro zenon_H266 ].
% 54.60/54.85 apply (zenon_L111_); trivial.
% 54.60/54.85 apply (zenon_or_s _ _ zenon_H266); [ zenon_intro zenon_H225 | zenon_intro zenon_H267 ].
% 54.60/54.85 apply (zenon_L113_); trivial.
% 54.60/54.85 apply (zenon_or_s _ _ zenon_H267); [ zenon_intro zenon_H22d | zenon_intro zenon_H268 ].
% 54.60/54.85 apply (zenon_L114_); trivial.
% 54.60/54.85 apply (zenon_or_s _ _ zenon_H268); [ zenon_intro zenon_H230 | zenon_intro zenon_H269 ].
% 54.60/54.85 apply (zenon_L115_); trivial.
% 54.60/54.85 apply (zenon_or_s _ _ zenon_H269); [ zenon_intro zenon_H232 | zenon_intro zenon_H26a ].
% 54.60/54.85 apply (zenon_L116_); trivial.
% 54.60/54.85 apply (zenon_or_s _ _ zenon_H26a); [ zenon_intro zenon_H240 | zenon_intro zenon_H242 ].
% 54.60/54.85 apply (zenon_L123_); trivial.
% 54.60/54.85 apply (zenon_L125_); trivial.
% 54.60/54.85 apply (zenon_L84_); trivial.
% 54.60/54.85 apply (zenon_L109_); trivial.
% 54.60/54.85 (* end of lemma zenon_L126_ *)
% 54.60/54.85 assert (zenon_L127_ : (~((h2 (e10)) = (e20))) -> ((h2 (e10)) = (op2 (e21) (e21))) -> ((e20) = (op2 (e21) (e21))) -> False).
% 54.60/54.85 do 0 intro. intros zenon_H26b zenon_H26c zenon_H33.
% 54.60/54.85 cut (((h2 (e10)) = (op2 (e21) (e21))) = ((h2 (e10)) = (e20))).
% 54.60/54.85 intro zenon_D_pnotp.
% 54.60/54.85 apply zenon_H26b.
% 54.60/54.85 rewrite <- zenon_D_pnotp.
% 54.60/54.85 exact zenon_H26c.
% 54.60/54.85 cut (((op2 (e21) (e21)) = (e20))); [idtac | apply NNPP; zenon_intro zenon_H3c].
% 54.60/54.85 cut (((h2 (e10)) = (h2 (e10)))); [idtac | apply NNPP; zenon_intro zenon_H26d].
% 54.60/54.85 congruence.
% 54.60/54.85 apply zenon_H26d. apply refl_equal.
% 54.60/54.85 apply zenon_H3c. apply sym_equal. exact zenon_H33.
% 54.60/54.85 (* end of lemma zenon_L127_ *)
% 54.60/54.85 assert (zenon_L128_ : (~((e21) = (e21))) -> False).
% 54.60/54.85 do 0 intro. intros zenon_H26e.
% 54.60/54.85 apply zenon_H26e. apply refl_equal.
% 54.60/54.85 (* end of lemma zenon_L128_ *)
% 54.60/54.85 assert (zenon_L129_ : (~((h2 (op1 (e10) (e11))) = (op2 (h2 (e10)) (h2 (e11))))) -> ((op1 (e10) (e11)) = (e11)) -> ((op2 (e20) (e21)) = (e21)) -> ((h2 (e10)) = (op2 (e21) (e21))) -> ((e20) = (op2 (e21) (e21))) -> ((h2 (e11)) = (e21)) -> False).
% 54.60/54.85 do 0 intro. intros zenon_H26f zenon_H1fe zenon_Hb9 zenon_H26c zenon_H33 zenon_H270.
% 54.60/54.85 cut (((h2 (e11)) = (e21)) = ((h2 (op1 (e10) (e11))) = (op2 (h2 (e10)) (h2 (e11))))).
% 54.60/54.85 intro zenon_D_pnotp.
% 54.60/54.85 apply zenon_H26f.
% 54.60/54.85 rewrite <- zenon_D_pnotp.
% 54.60/54.85 exact zenon_H270.
% 54.60/54.85 cut (((e21) = (op2 (h2 (e10)) (h2 (e11))))); [idtac | apply NNPP; zenon_intro zenon_H271].
% 54.60/54.85 cut (((h2 (e11)) = (h2 (op1 (e10) (e11))))); [idtac | apply NNPP; zenon_intro zenon_H272].
% 54.60/54.85 congruence.
% 54.60/54.85 elim (classic ((h2 (op1 (e10) (e11))) = (h2 (op1 (e10) (e11))))); [ zenon_intro zenon_H273 | zenon_intro zenon_H274 ].
% 54.60/54.85 cut (((h2 (op1 (e10) (e11))) = (h2 (op1 (e10) (e11)))) = ((h2 (e11)) = (h2 (op1 (e10) (e11))))).
% 54.60/54.85 intro zenon_D_pnotp.
% 54.60/54.85 apply zenon_H272.
% 54.60/54.85 rewrite <- zenon_D_pnotp.
% 54.60/54.85 exact zenon_H273.
% 54.60/54.85 cut (((h2 (op1 (e10) (e11))) = (h2 (op1 (e10) (e11))))); [idtac | apply NNPP; zenon_intro zenon_H274].
% 54.60/54.85 cut (((h2 (op1 (e10) (e11))) = (h2 (e11)))); [idtac | apply NNPP; zenon_intro zenon_H275].
% 54.60/54.85 congruence.
% 54.60/54.85 cut (((op1 (e10) (e11)) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H276].
% 54.60/54.85 congruence.
% 54.60/54.85 exact (zenon_H276 zenon_H1fe).
% 54.60/54.85 apply zenon_H274. apply refl_equal.
% 54.60/54.85 apply zenon_H274. apply refl_equal.
% 54.60/54.85 elim (classic ((op2 (h2 (e10)) (h2 (e11))) = (op2 (h2 (e10)) (h2 (e11))))); [ zenon_intro zenon_H277 | zenon_intro zenon_H278 ].
% 54.60/54.85 cut (((op2 (h2 (e10)) (h2 (e11))) = (op2 (h2 (e10)) (h2 (e11)))) = ((e21) = (op2 (h2 (e10)) (h2 (e11))))).
% 54.60/54.85 intro zenon_D_pnotp.
% 54.60/54.85 apply zenon_H271.
% 54.60/54.85 rewrite <- zenon_D_pnotp.
% 54.60/54.85 exact zenon_H277.
% 54.60/54.85 cut (((op2 (h2 (e10)) (h2 (e11))) = (op2 (h2 (e10)) (h2 (e11))))); [idtac | apply NNPP; zenon_intro zenon_H278].
% 54.60/54.85 cut (((op2 (h2 (e10)) (h2 (e11))) = (e21))); [idtac | apply NNPP; zenon_intro zenon_H279].
% 54.60/54.85 congruence.
% 54.60/54.85 cut (((op2 (e20) (e21)) = (e21)) = ((op2 (h2 (e10)) (h2 (e11))) = (e21))).
% 54.60/54.85 intro zenon_D_pnotp.
% 54.60/54.85 apply zenon_H279.
% 54.60/54.85 rewrite <- zenon_D_pnotp.
% 54.60/54.85 exact zenon_Hb9.
% 54.60/54.85 cut (((e21) = (e21))); [idtac | apply NNPP; zenon_intro zenon_H26e].
% 54.60/54.85 cut (((op2 (e20) (e21)) = (op2 (h2 (e10)) (h2 (e11))))); [idtac | apply NNPP; zenon_intro zenon_H27a].
% 54.60/54.85 congruence.
% 54.60/54.85 elim (classic ((op2 (h2 (e10)) (h2 (e11))) = (op2 (h2 (e10)) (h2 (e11))))); [ zenon_intro zenon_H277 | zenon_intro zenon_H278 ].
% 54.60/54.85 cut (((op2 (h2 (e10)) (h2 (e11))) = (op2 (h2 (e10)) (h2 (e11)))) = ((op2 (e20) (e21)) = (op2 (h2 (e10)) (h2 (e11))))).
% 54.60/54.85 intro zenon_D_pnotp.
% 54.60/54.85 apply zenon_H27a.
% 54.60/54.85 rewrite <- zenon_D_pnotp.
% 54.60/54.85 exact zenon_H277.
% 54.60/54.85 cut (((op2 (h2 (e10)) (h2 (e11))) = (op2 (h2 (e10)) (h2 (e11))))); [idtac | apply NNPP; zenon_intro zenon_H278].
% 54.60/54.85 cut (((op2 (h2 (e10)) (h2 (e11))) = (op2 (e20) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H27b].
% 54.60/54.85 congruence.
% 54.60/54.85 cut (((h2 (e11)) = (e21))); [idtac | apply NNPP; zenon_intro zenon_H27c].
% 54.60/54.85 cut (((h2 (e10)) = (e20))); [idtac | apply NNPP; zenon_intro zenon_H26b].
% 54.60/54.85 congruence.
% 54.60/54.85 apply (zenon_L127_); trivial.
% 54.60/54.85 exact (zenon_H27c zenon_H270).
% 54.60/54.85 apply zenon_H278. apply refl_equal.
% 54.60/54.85 apply zenon_H278. apply refl_equal.
% 54.60/54.85 apply zenon_H26e. apply refl_equal.
% 54.60/54.85 apply zenon_H278. apply refl_equal.
% 54.60/54.85 apply zenon_H278. apply refl_equal.
% 54.60/54.85 (* end of lemma zenon_L129_ *)
% 54.60/54.85 assert (zenon_L130_ : (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> ((op1 (e12) (e11)) = (e12)) -> ((op1 (e10) (e11)) = (e12)) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> ((e12) = (op1 (op1 (op1 (e11) (e11)) (op1 (e11) (e11))) (op1 (e11) (e11)))) -> ((e10) = (op1 (e11) (e11))) -> ((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> False).
% 54.60/54.85 do 0 intro. intros zenon_H186 zenon_H202 zenon_H1dc zenon_H204 zenon_H172 zenon_H179 zenon_H155 zenon_H13 zenon_H15 zenon_H180.
% 54.60/54.85 apply (zenon_or_s _ _ zenon_H186); [ zenon_intro zenon_H16b | zenon_intro zenon_H187 ].
% 54.60/54.85 apply (zenon_L102_); trivial.
% 54.60/54.85 apply (zenon_or_s _ _ zenon_H187); [ zenon_intro zenon_H171 | zenon_intro zenon_H188 ].
% 54.60/54.85 apply (zenon_L69_); trivial.
% 54.60/54.85 apply (zenon_or_s _ _ zenon_H188); [ zenon_intro zenon_H178 | zenon_intro zenon_H17f ].
% 54.60/54.85 apply (zenon_L70_); trivial.
% 54.60/54.85 apply (zenon_L71_); trivial.
% 54.60/54.85 (* end of lemma zenon_L130_ *)
% 54.60/54.85 assert (zenon_L131_ : (((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e11)) = (e12))\/((op1 (e10) (e11)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> ((h2 (e11)) = (e21)) -> ((e20) = (op2 (e21) (e21))) -> ((h2 (e10)) = (op2 (e21) (e21))) -> ((op2 (e20) (e21)) = (e21)) -> (~((h2 (op1 (e10) (e11))) = (op2 (h2 (e10)) (h2 (e11))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> ((e12) = (op1 (op1 (op1 (e11) (e11)) (op1 (e11) (e11))) (op1 (e11) (e11)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> ((op1 (e12) (e11)) = (e12)) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> ((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) -> ((e10) = (op1 (e11) (e11))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> False).
% 54.60/54.85 do 0 intro. intros zenon_H206 zenon_H19d zenon_H270 zenon_H33 zenon_H26c zenon_Hb9 zenon_H26f zenon_H180 zenon_H155 zenon_H179 zenon_H172 zenon_H204 zenon_H202 zenon_H186 zenon_H15 zenon_H13 zenon_H17.
% 54.60/54.85 apply (zenon_or_s _ _ zenon_H206); [ zenon_intro zenon_H166 | zenon_intro zenon_H207 ].
% 54.60/54.85 apply (zenon_L78_); trivial.
% 54.60/54.85 apply (zenon_or_s _ _ zenon_H207); [ zenon_intro zenon_H1fe | zenon_intro zenon_H208 ].
% 54.60/54.85 apply (zenon_L129_); trivial.
% 54.60/54.85 apply (zenon_or_s _ _ zenon_H208); [ zenon_intro zenon_H1dc | zenon_intro zenon_H16 ].
% 54.60/54.85 apply (zenon_L130_); trivial.
% 54.60/54.85 apply (zenon_L2_); trivial.
% 54.60/54.85 (* end of lemma zenon_L131_ *)
% 54.60/54.85 assert (zenon_L132_ : (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> ((e10) = (op1 (e11) (e11))) -> ((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> ((e12) = (op1 (op1 (op1 (e11) (e11)) (op1 (e11) (e11))) (op1 (e11) (e11)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((h2 (op1 (e10) (e11))) = (op2 (h2 (e10)) (h2 (e11))))) -> ((op2 (e20) (e21)) = (e21)) -> ((h2 (e10)) = (op2 (e21) (e21))) -> ((e20) = (op2 (e21) (e21))) -> ((h2 (e11)) = (e21)) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e11)) = (e12))\/((op1 (e10) (e11)) = (e13))))) -> (~((op1 (e12) (e12)) = (e12))) -> (~((op1 (e12) (e13)) = (e12))) -> False).
% 54.60/54.85 do 0 intro. intros zenon_H23b zenon_H21a zenon_H17 zenon_H13 zenon_H15 zenon_H186 zenon_H204 zenon_H172 zenon_H179 zenon_H155 zenon_H180 zenon_H26f zenon_Hb9 zenon_H26c zenon_H33 zenon_H270 zenon_H19d zenon_H206 zenon_H1d1 zenon_H27d.
% 54.60/54.85 apply (zenon_or_s _ _ zenon_H23b); [ zenon_intro zenon_H21b | zenon_intro zenon_H23d ].
% 54.60/54.85 apply (zenon_L109_); trivial.
% 54.60/54.85 apply (zenon_or_s _ _ zenon_H23d); [ zenon_intro zenon_H202 | zenon_intro zenon_H23e ].
% 54.60/54.85 apply (zenon_L131_); trivial.
% 54.60/54.85 apply (zenon_or_s _ _ zenon_H23e); [ zenon_intro zenon_H1cb | zenon_intro zenon_H22f ].
% 54.60/54.85 exact (zenon_H1d1 zenon_H1cb).
% 54.60/54.85 exact (zenon_H27d zenon_H22f).
% 54.60/54.85 (* end of lemma zenon_L132_ *)
% 54.60/54.85 assert (zenon_L133_ : (~((e21) = (e22))) -> ((op2 (e22) (e21)) = (e22)) -> ((op2 (e22) (e21)) = (e21)) -> False).
% 54.60/54.85 do 0 intro. intros zenon_H27e zenon_Hd3 zenon_H27f.
% 54.60/54.85 cut (((op2 (e22) (e21)) = (e22)) = ((e21) = (e22))).
% 54.60/54.85 intro zenon_D_pnotp.
% 54.60/54.85 apply zenon_H27e.
% 54.60/54.85 rewrite <- zenon_D_pnotp.
% 54.60/54.85 exact zenon_Hd3.
% 54.60/54.85 cut (((e22) = (e22))); [idtac | apply NNPP; zenon_intro zenon_Hea].
% 54.60/54.85 cut (((op2 (e22) (e21)) = (e21))); [idtac | apply NNPP; zenon_intro zenon_H280].
% 54.60/54.85 congruence.
% 54.60/54.85 exact (zenon_H280 zenon_H27f).
% 54.60/54.85 apply zenon_Hea. apply refl_equal.
% 54.60/54.85 (* end of lemma zenon_L133_ *)
% 54.60/54.85 assert (zenon_L134_ : (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> ((e23) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((e20) = (op2 (e21) (e21))) -> ((e22) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> ((op2 (e22) (e21)) = (e21)) -> (~((e21) = (e22))) -> (~((op2 (e22) (e22)) = (e22))) -> (~((op2 (e22) (e23)) = (e22))) -> False).
% 54.60/54.85 do 0 intro. intros zenon_Hf1 zenon_H3b zenon_H33 zenon_H3f zenon_Hb0 zenon_H27f zenon_H27e zenon_Hd7 zenon_H281.
% 54.60/54.85 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_Hb1 | zenon_intro zenon_Hf3 ].
% 54.60/54.85 apply (zenon_L30_); trivial.
% 54.60/54.85 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_Hd3 | zenon_intro zenon_Hf4 ].
% 54.60/54.85 apply (zenon_L133_); trivial.
% 54.60/54.85 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_Hd6 | zenon_intro zenon_He2 ].
% 54.60/54.85 exact (zenon_Hd7 zenon_Hd6).
% 54.60/54.85 exact (zenon_H281 zenon_He2).
% 54.60/54.85 (* end of lemma zenon_L134_ *)
% 54.60/54.85 assert (zenon_L135_ : (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> ((op2 (e20) (e21)) = (e21)) -> ((op2 (e23) (e21)) = (e21)) -> False).
% 54.60/54.85 do 0 intro. intros zenon_H282 zenon_Hb9 zenon_H283.
% 54.60/54.85 cut (((op2 (e20) (e21)) = (e21)) = ((op2 (e20) (e21)) = (op2 (e23) (e21)))).
% 54.60/54.85 intro zenon_D_pnotp.
% 54.60/54.85 apply zenon_H282.
% 54.60/54.85 rewrite <- zenon_D_pnotp.
% 54.60/54.85 exact zenon_Hb9.
% 54.60/54.85 cut (((e21) = (op2 (e23) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H284].
% 54.60/54.85 cut (((op2 (e20) (e21)) = (op2 (e20) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H90].
% 54.60/54.85 congruence.
% 54.60/54.85 apply zenon_H90. apply refl_equal.
% 54.60/54.85 apply zenon_H284. apply sym_equal. exact zenon_H283.
% 54.60/54.85 (* end of lemma zenon_L135_ *)
% 54.60/54.85 assert (zenon_L136_ : ((op2 (e22) (e21)) = (e22)) -> ((op2 (e20) (e21)) = (e22)) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> False).
% 54.60/54.85 do 0 intro. intros zenon_Hd3 zenon_H285 zenon_H286.
% 54.60/54.85 elim (classic ((op2 (e22) (e21)) = (op2 (e22) (e21)))); [ zenon_intro zenon_H111 | zenon_intro zenon_H112 ].
% 54.60/54.85 cut (((op2 (e22) (e21)) = (op2 (e22) (e21))) = ((op2 (e20) (e21)) = (op2 (e22) (e21)))).
% 54.60/54.85 intro zenon_D_pnotp.
% 54.60/54.85 apply zenon_H286.
% 54.60/54.85 rewrite <- zenon_D_pnotp.
% 54.60/54.85 exact zenon_H111.
% 54.60/54.85 cut (((op2 (e22) (e21)) = (op2 (e22) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H112].
% 54.60/54.85 cut (((op2 (e22) (e21)) = (op2 (e20) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H287].
% 54.60/54.85 congruence.
% 54.60/54.85 cut (((op2 (e22) (e21)) = (e22)) = ((op2 (e22) (e21)) = (op2 (e20) (e21)))).
% 54.60/54.85 intro zenon_D_pnotp.
% 54.60/54.85 apply zenon_H287.
% 54.60/54.85 rewrite <- zenon_D_pnotp.
% 54.60/54.85 exact zenon_Hd3.
% 54.60/54.85 cut (((e22) = (op2 (e20) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H288].
% 54.60/54.85 cut (((op2 (e22) (e21)) = (op2 (e22) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H112].
% 54.60/54.85 congruence.
% 54.60/54.85 apply zenon_H112. apply refl_equal.
% 54.60/54.85 apply zenon_H288. apply sym_equal. exact zenon_H285.
% 54.60/54.85 apply zenon_H112. apply refl_equal.
% 54.60/54.85 apply zenon_H112. apply refl_equal.
% 54.60/54.85 (* end of lemma zenon_L136_ *)
% 54.60/54.85 assert (zenon_L137_ : (((op2 (e20) (e21)) = (e20))\/(((op2 (e20) (e21)) = (e21))\/(((op2 (e20) (e21)) = (e22))\/((op2 (e20) (e21)) = (e23))))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> ((op2 (e23) (e21)) = (e21)) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> ((op2 (e22) (e21)) = (e22)) -> ((e23) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((e20) = (op2 (e21) (e21))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> False).
% 54.60/54.85 do 0 intro. intros zenon_H289 zenon_H8d zenon_H283 zenon_H282 zenon_H286 zenon_Hd3 zenon_H3b zenon_H33 zenon_H93.
% 54.60/54.85 apply (zenon_or_s _ _ zenon_H289); [ zenon_intro zenon_H51 | zenon_intro zenon_H28a ].
% 54.60/54.85 apply (zenon_L24_); trivial.
% 54.60/54.85 apply (zenon_or_s _ _ zenon_H28a); [ zenon_intro zenon_Hb9 | zenon_intro zenon_H28b ].
% 54.60/54.85 apply (zenon_L135_); trivial.
% 54.60/54.85 apply (zenon_or_s _ _ zenon_H28b); [ zenon_intro zenon_H285 | zenon_intro zenon_H92 ].
% 54.60/54.85 apply (zenon_L136_); trivial.
% 54.60/54.85 apply (zenon_L25_); trivial.
% 54.60/54.85 (* end of lemma zenon_L137_ *)
% 54.60/54.85 assert (zenon_L138_ : (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> ((e22) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> ((e20) = (op2 (e21) (e21))) -> ((e23) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> ((op2 (e23) (e21)) = (e21)) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> (((op2 (e20) (e21)) = (e20))\/(((op2 (e20) (e21)) = (e21))\/(((op2 (e20) (e21)) = (e22))\/((op2 (e20) (e21)) = (e23))))) -> (~((op2 (e22) (e22)) = (e22))) -> (~((op2 (e22) (e23)) = (e22))) -> False).
% 54.60/54.85 do 0 intro. intros zenon_Hf1 zenon_H3f zenon_Hb0 zenon_H93 zenon_H33 zenon_H3b zenon_H286 zenon_H282 zenon_H283 zenon_H8d zenon_H289 zenon_Hd7 zenon_H281.
% 54.60/54.85 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_Hb1 | zenon_intro zenon_Hf3 ].
% 54.60/54.85 apply (zenon_L30_); trivial.
% 54.60/54.85 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_Hd3 | zenon_intro zenon_Hf4 ].
% 54.60/54.85 apply (zenon_L137_); trivial.
% 54.60/54.85 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_Hd6 | zenon_intro zenon_He2 ].
% 54.60/54.85 exact (zenon_Hd7 zenon_Hd6).
% 54.60/54.85 exact (zenon_H281 zenon_He2).
% 54.60/54.85 (* end of lemma zenon_L138_ *)
% 54.60/54.85 assert (zenon_L139_ : (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> (~((op1 (e12) (e13)) = (e12))) -> (~((op1 (e12) (e12)) = (e12))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e11)) = (e12))\/((op1 (e10) (e11)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> ((h2 (e11)) = (e21)) -> ((h2 (e10)) = (op2 (e21) (e21))) -> (~((h2 (op1 (e10) (e11))) = (op2 (h2 (e10)) (h2 (e11))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> ((e12) = (op1 (op1 (op1 (e11) (e11)) (op1 (e11) (e11))) (op1 (e11) (e11)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> ((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) -> ((e10) = (op1 (e11) (e11))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op2 (e21) (e21)) = (e21))) -> (~((e21) = (e22))) -> (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> ((e22) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> ((e20) = (op2 (e21) (e21))) -> ((e23) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> (((op2 (e20) (e21)) = (e20))\/(((op2 (e20) (e21)) = (e21))\/(((op2 (e20) (e21)) = (e22))\/((op2 (e20) (e21)) = (e23))))) -> (~((op2 (e22) (e22)) = (e22))) -> (~((op2 (e22) (e23)) = (e22))) -> False).
% 54.60/54.85 do 0 intro. intros zenon_H28c zenon_H27d zenon_H1d1 zenon_H206 zenon_H19d zenon_H270 zenon_H26c zenon_H26f zenon_H180 zenon_H155 zenon_H179 zenon_H172 zenon_H204 zenon_H186 zenon_H15 zenon_H13 zenon_H17 zenon_H21a zenon_H23b zenon_H28d zenon_H27e zenon_Hf1 zenon_H3f zenon_Hb0 zenon_H93 zenon_H33 zenon_H3b zenon_H286 zenon_H282 zenon_H8d zenon_H289 zenon_Hd7 zenon_H281.
% 54.60/54.85 apply (zenon_or_s _ _ zenon_H28c); [ zenon_intro zenon_Hb9 | zenon_intro zenon_H28e ].
% 54.60/54.85 apply (zenon_L132_); trivial.
% 54.60/54.85 apply (zenon_or_s _ _ zenon_H28e); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H28f ].
% 54.60/54.85 exact (zenon_H28d zenon_Hc3).
% 54.60/54.85 apply (zenon_or_s _ _ zenon_H28f); [ zenon_intro zenon_H27f | zenon_intro zenon_H283 ].
% 54.60/54.85 apply (zenon_L134_); trivial.
% 54.60/54.85 apply (zenon_L138_); trivial.
% 54.60/54.85 (* end of lemma zenon_L139_ *)
% 54.60/54.85 assert (zenon_L140_ : (~((e11) = (e11))) -> False).
% 54.60/54.85 do 0 intro. intros zenon_H290.
% 54.60/54.85 apply zenon_H290. apply refl_equal.
% 54.60/54.85 (* end of lemma zenon_L140_ *)
% 54.60/54.85 assert (zenon_L141_ : (~((op1 (e11) (e11)) = (op1 (e12) (e10)))) -> ((op1 (e11) (op1 (e11) (e10))) = (e10)) -> ((op1 (e11) (e10)) = (e11)) -> ((op1 (e12) (e10)) = (e10)) -> False).
% 54.60/54.85 do 0 intro. intros zenon_H291 zenon_H292 zenon_H163 zenon_H293.
% 54.60/54.85 cut (((op1 (e11) (op1 (e11) (e10))) = (e10)) = ((op1 (e11) (e11)) = (op1 (e12) (e10)))).
% 54.60/54.85 intro zenon_D_pnotp.
% 54.60/54.85 apply zenon_H291.
% 54.60/54.85 rewrite <- zenon_D_pnotp.
% 54.60/54.85 exact zenon_H292.
% 54.60/54.85 cut (((e10) = (op1 (e12) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H294].
% 54.60/54.85 cut (((op1 (e11) (op1 (e11) (e10))) = (op1 (e11) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H295].
% 54.60/54.85 congruence.
% 54.60/54.85 elim (classic ((op1 (e11) (e11)) = (op1 (e11) (e11)))); [ zenon_intro zenon_H296 | zenon_intro zenon_H14d ].
% 54.60/54.85 cut (((op1 (e11) (e11)) = (op1 (e11) (e11))) = ((op1 (e11) (op1 (e11) (e10))) = (op1 (e11) (e11)))).
% 54.60/54.85 intro zenon_D_pnotp.
% 54.60/54.85 apply zenon_H295.
% 54.60/54.85 rewrite <- zenon_D_pnotp.
% 54.60/54.85 exact zenon_H296.
% 54.60/54.85 cut (((op1 (e11) (e11)) = (op1 (e11) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H14d].
% 54.60/54.85 cut (((op1 (e11) (e11)) = (op1 (e11) (op1 (e11) (e10))))); [idtac | apply NNPP; zenon_intro zenon_H297].
% 54.60/54.85 congruence.
% 54.60/54.85 cut (((e11) = (op1 (e11) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H1ad].
% 54.60/54.85 cut (((e11) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H290].
% 54.60/54.85 congruence.
% 54.60/54.85 apply zenon_H290. apply refl_equal.
% 54.60/54.85 apply zenon_H1ad. apply sym_equal. exact zenon_H163.
% 54.60/54.85 apply zenon_H14d. apply refl_equal.
% 54.60/54.85 apply zenon_H14d. apply refl_equal.
% 54.60/54.85 apply zenon_H294. apply sym_equal. exact zenon_H293.
% 54.60/54.85 (* end of lemma zenon_L141_ *)
% 54.60/54.85 assert (zenon_L142_ : (~((op1 (e11) (e11)) = (op1 (e10) (e12)))) -> ((op1 (e11) (e10)) = (e11)) -> ((op1 (e12) (e10)) = (e10)) -> ((op1 (e11) (op1 (e11) (e10))) = (e10)) -> ((op1 (e10) (e12)) = (e10)) -> False).
% 54.60/54.85 do 0 intro. intros zenon_H298 zenon_H163 zenon_H293 zenon_H292 zenon_H18f.
% 54.60/54.85 cut (((op1 (e12) (e10)) = (e10)) = ((op1 (e11) (e11)) = (op1 (e10) (e12)))).
% 54.60/54.85 intro zenon_D_pnotp.
% 54.60/54.85 apply zenon_H298.
% 54.60/54.85 rewrite <- zenon_D_pnotp.
% 54.60/54.85 exact zenon_H293.
% 54.60/54.85 cut (((e10) = (op1 (e10) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H299].
% 54.60/54.85 cut (((op1 (e12) (e10)) = (op1 (e11) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H29a].
% 54.60/54.85 congruence.
% 54.60/54.85 elim (classic ((op1 (e11) (e11)) = (op1 (e11) (e11)))); [ zenon_intro zenon_H296 | zenon_intro zenon_H14d ].
% 54.60/54.85 cut (((op1 (e11) (e11)) = (op1 (e11) (e11))) = ((op1 (e12) (e10)) = (op1 (e11) (e11)))).
% 54.60/54.85 intro zenon_D_pnotp.
% 54.60/54.85 apply zenon_H29a.
% 54.60/54.85 rewrite <- zenon_D_pnotp.
% 54.60/54.85 exact zenon_H296.
% 54.60/54.85 cut (((op1 (e11) (e11)) = (op1 (e11) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H14d].
% 54.60/54.85 cut (((op1 (e11) (e11)) = (op1 (e12) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H291].
% 54.60/54.85 congruence.
% 54.60/54.85 apply (zenon_L141_); trivial.
% 54.60/54.85 apply zenon_H14d. apply refl_equal.
% 54.60/54.85 apply zenon_H14d. apply refl_equal.
% 54.60/54.85 apply zenon_H299. apply sym_equal. exact zenon_H18f.
% 54.60/54.85 (* end of lemma zenon_L142_ *)
% 54.60/54.85 assert (zenon_L143_ : ((e10) = (op1 (e11) (e11))) -> ((op1 (e12) (e12)) = (e10)) -> ((op1 (e10) (e12)) = (e10)) -> ((op1 (e11) (e10)) = (e11)) -> ((op1 (e12) (e10)) = (e10)) -> ((op1 (e11) (op1 (e11) (e10))) = (e10)) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> False).
% 54.60/54.85 do 0 intro. intros zenon_H13 zenon_H1e0 zenon_H18f zenon_H163 zenon_H293 zenon_H292 zenon_H1de.
% 54.60/54.85 elim (classic ((op1 (e12) (e12)) = (op1 (e12) (e12)))); [ zenon_intro zenon_H1cd | zenon_intro zenon_H1ce ].
% 54.60/54.85 cut (((op1 (e12) (e12)) = (op1 (e12) (e12))) = ((op1 (e10) (e12)) = (op1 (e12) (e12)))).
% 54.60/54.85 intro zenon_D_pnotp.
% 54.60/54.85 apply zenon_H1de.
% 54.60/54.85 rewrite <- zenon_D_pnotp.
% 54.60/54.85 exact zenon_H1cd.
% 54.60/54.85 cut (((op1 (e12) (e12)) = (op1 (e12) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H1ce].
% 54.60/54.85 cut (((op1 (e12) (e12)) = (op1 (e10) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H29b].
% 54.60/54.85 congruence.
% 54.60/54.85 cut (((e10) = (op1 (e11) (e11))) = ((op1 (e12) (e12)) = (op1 (e10) (e12)))).
% 54.60/54.85 intro zenon_D_pnotp.
% 54.60/54.85 apply zenon_H29b.
% 54.60/54.85 rewrite <- zenon_D_pnotp.
% 54.60/54.85 exact zenon_H13.
% 54.60/54.85 cut (((op1 (e11) (e11)) = (op1 (e10) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H298].
% 54.60/54.85 cut (((e10) = (op1 (e12) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H29c].
% 54.60/54.85 congruence.
% 54.60/54.85 elim (classic ((op1 (e12) (e12)) = (op1 (e12) (e12)))); [ zenon_intro zenon_H1cd | zenon_intro zenon_H1ce ].
% 54.60/54.85 cut (((op1 (e12) (e12)) = (op1 (e12) (e12))) = ((e10) = (op1 (e12) (e12)))).
% 54.60/54.85 intro zenon_D_pnotp.
% 54.60/54.85 apply zenon_H29c.
% 54.60/54.85 rewrite <- zenon_D_pnotp.
% 54.60/54.85 exact zenon_H1cd.
% 54.60/54.85 cut (((op1 (e12) (e12)) = (op1 (e12) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H1ce].
% 54.60/54.85 cut (((op1 (e12) (e12)) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H1db].
% 54.60/54.85 congruence.
% 54.60/54.85 exact (zenon_H1db zenon_H1e0).
% 54.60/54.85 apply zenon_H1ce. apply refl_equal.
% 54.60/54.85 apply zenon_H1ce. apply refl_equal.
% 54.60/54.85 apply (zenon_L142_); trivial.
% 54.60/54.85 apply zenon_H1ce. apply refl_equal.
% 54.60/54.85 apply zenon_H1ce. apply refl_equal.
% 54.60/54.85 (* end of lemma zenon_L143_ *)
% 54.60/54.85 assert (zenon_L144_ : (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e12))\/((op1 (e11) (e10)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (~((op1 (e12) (e12)) = (e13))) -> (~((op1 (e12) (e12)) = (e12))) -> (~((op1 (e12) (e12)) = (e11))) -> ((op1 (e10) (e12)) = (e10)) -> ((op1 (e12) (e10)) = (e10)) -> ((op1 (e11) (op1 (e11) (e10))) = (e10)) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> ((e12) = (op1 (op1 (op1 (e11) (e11)) (op1 (e11) (e11))) (op1 (e11) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> ((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) -> ((e10) = (op1 (e11) (e11))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> False).
% 54.60/54.85 do 0 intro. intros zenon_H15f zenon_H14b zenon_H29d zenon_H1d1 zenon_H23f zenon_H18f zenon_H293 zenon_H292 zenon_H1de zenon_H1da zenon_H155 zenon_H154 zenon_H15 zenon_H13 zenon_H15a.
% 54.60/54.85 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_H14c | zenon_intro zenon_H161 ].
% 54.60/54.85 apply (zenon_L61_); trivial.
% 54.60/54.85 apply (zenon_or_s _ _ zenon_H161); [ zenon_intro zenon_H163 | zenon_intro zenon_H162 ].
% 54.60/54.85 apply (zenon_or_s _ _ zenon_H1da); [ zenon_intro zenon_H1e0 | zenon_intro zenon_H1df ].
% 54.60/54.85 apply (zenon_L143_); trivial.
% 54.60/54.85 apply (zenon_or_s _ _ zenon_H1df); [ zenon_intro zenon_H1e2 | zenon_intro zenon_H1e1 ].
% 54.60/54.85 exact (zenon_H23f zenon_H1e2).
% 54.60/54.85 apply (zenon_or_s _ _ zenon_H1e1); [ zenon_intro zenon_H1cb | zenon_intro zenon_H1d3 ].
% 54.60/54.85 exact (zenon_H1d1 zenon_H1cb).
% 54.60/54.85 exact (zenon_H29d zenon_H1d3).
% 54.60/54.85 apply (zenon_or_s _ _ zenon_H162); [ zenon_intro zenon_H156 | zenon_intro zenon_H159 ].
% 54.60/54.85 apply (zenon_L63_); trivial.
% 54.60/54.85 apply (zenon_L64_); trivial.
% 54.60/54.85 (* end of lemma zenon_L144_ *)
% 54.60/54.85 assert (zenon_L145_ : ((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (~((op1 (e12) (e12)) = (e11))) -> ((op1 (e10) (e12)) = (e10)) -> ((op1 (e12) (e10)) = (e10)) -> ((op1 (e11) (op1 (e11) (e10))) = (e10)) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e12))\/((op1 (e11) (e10)) = (e13))))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e12) (e12)) = (e12))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (~((h2 (op1 (e10) (e11))) = (op2 (h2 (e10)) (h2 (e11))))) -> ((h2 (e11)) = (e21)) -> ((e20) = (op2 (e21) (e21))) -> ((h2 (e10)) = (op2 (e21) (e21))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e11)) = (e12))\/((op1 (e10) (e11)) = (e13))))) -> ((e10) = (op1 (e11) (e11))) -> ((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) -> ((e12) = (op1 (op1 (op1 (e11) (e11)) (op1 (e11) (e11))) (op1 (e11) (e11)))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (~((op2 (e21) (e21)) = (e21))) -> (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> (~((op2 (e22) (e23)) = (e22))) -> (~((op2 (e22) (e22)) = (e22))) -> (~((e21) = (e22))) -> ((e23) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((e22) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> (((op2 (e20) (e21)) = (e20))\/(((op2 (e20) (e21)) = (e21))\/(((op2 (e20) (e21)) = (e22))\/((op2 (e20) (e21)) = (e23))))) -> (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> False).
% 54.60/54.86 do 0 intro. intros zenon_H22c zenon_H14b zenon_H1da zenon_H23f zenon_H18f zenon_H293 zenon_H292 zenon_H1de zenon_H154 zenon_H15a zenon_H15f zenon_H23b zenon_H1d1 zenon_H19d zenon_H26f zenon_H270 zenon_H33 zenon_H26c zenon_H186 zenon_H180 zenon_H179 zenon_H172 zenon_H204 zenon_H17 zenon_H206 zenon_H13 zenon_H15 zenon_H155 zenon_H21a zenon_H28d zenon_Hf1 zenon_H281 zenon_Hd7 zenon_H27e zenon_H3b zenon_H3f zenon_Hb0 zenon_H8d zenon_H282 zenon_H286 zenon_H93 zenon_H289 zenon_H28c.
% 54.60/54.86 apply (zenon_or_s _ _ zenon_H22c); [ zenon_intro zenon_H27d | zenon_intro zenon_H29d ].
% 54.60/54.86 apply (zenon_L139_); trivial.
% 54.60/54.86 apply (zenon_L144_); trivial.
% 54.60/54.86 (* end of lemma zenon_L145_ *)
% 54.60/54.86 assert (zenon_L146_ : ((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12)))) -> (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> (((op2 (e20) (e21)) = (e20))\/(((op2 (e20) (e21)) = (e21))\/(((op2 (e20) (e21)) = (e22))\/((op2 (e20) (e21)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> ((e22) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> ((e23) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> (~((e21) = (e22))) -> (~((op2 (e22) (e22)) = (e22))) -> (~((op2 (e22) (e23)) = (e22))) -> (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> (~((op2 (e21) (e21)) = (e21))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> ((e12) = (op1 (op1 (op1 (e11) (e11)) (op1 (e11) (e11))) (op1 (e11) (e11)))) -> ((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) -> ((e10) = (op1 (e11) (e11))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e11)) = (e12))\/((op1 (e10) (e11)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> ((h2 (e10)) = (op2 (e21) (e21))) -> ((e20) = (op2 (e21) (e21))) -> ((h2 (e11)) = (e21)) -> (~((h2 (op1 (e10) (e11))) = (op2 (h2 (e10)) (h2 (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e12))\/((op1 (e11) (e10)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> ((op1 (e11) (op1 (e11) (e10))) = (e10)) -> ((op1 (e12) (e10)) = (e10)) -> ((op1 (e10) (e12)) = (e10)) -> (~((op1 (e12) (e12)) = (e11))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> ((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13)))) -> False).
% 54.60/54.86 do 0 intro. intros zenon_H224 zenon_H28c zenon_H289 zenon_H93 zenon_H286 zenon_H282 zenon_H8d zenon_Hb0 zenon_H3f zenon_H3b zenon_H27e zenon_Hd7 zenon_H281 zenon_Hf1 zenon_H28d zenon_H21a zenon_H155 zenon_H15 zenon_H13 zenon_H206 zenon_H17 zenon_H204 zenon_H172 zenon_H179 zenon_H180 zenon_H186 zenon_H26c zenon_H33 zenon_H270 zenon_H26f zenon_H19d zenon_H23b zenon_H15f zenon_H15a zenon_H154 zenon_H1de zenon_H292 zenon_H293 zenon_H18f zenon_H23f zenon_H1da zenon_H14b zenon_H22c.
% 54.60/54.86 apply (zenon_or_s _ _ zenon_H224); [ zenon_intro zenon_H1d1 | zenon_intro zenon_H1d1 ].
% 54.60/54.86 apply (zenon_L145_); trivial.
% 54.60/54.86 apply (zenon_L145_); trivial.
% 54.60/54.86 (* end of lemma zenon_L146_ *)
% 54.60/54.86 assert (zenon_L147_ : (((op1 (e10) (e12)) = (e10))/\(((op1 (e12) (e10)) = (e10))/\(((~((op1 (e12) (e10)) = (e12)))\/(~((op1 (e12) (e12)) = (e10))))/\(((~((op1 (e12) (e11)) = (e12)))\/(~((op1 (e12) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13))))))))) -> (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> (((op2 (e20) (e21)) = (e20))\/(((op2 (e20) (e21)) = (e21))\/(((op2 (e20) (e21)) = (e22))\/((op2 (e20) (e21)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> ((e22) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> ((e23) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> (~((e21) = (e22))) -> (~((op2 (e22) (e22)) = (e22))) -> (~((op2 (e22) (e23)) = (e22))) -> (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> (~((op2 (e21) (e21)) = (e21))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> ((e12) = (op1 (op1 (op1 (e11) (e11)) (op1 (e11) (e11))) (op1 (e11) (e11)))) -> ((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) -> ((e10) = (op1 (e11) (e11))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e11)) = (e12))\/((op1 (e10) (e11)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> ((h2 (e10)) = (op2 (e21) (e21))) -> ((e20) = (op2 (e21) (e21))) -> ((h2 (e11)) = (e21)) -> (~((h2 (op1 (e10) (e11))) = (op2 (h2 (e10)) (h2 (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e12))\/((op1 (e11) (e10)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> ((op1 (e11) (op1 (e11) (e10))) = (e10)) -> (~((op1 (e12) (e12)) = (e11))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> False).
% 54.60/54.86 do 0 intro. intros zenon_H197 zenon_H28c zenon_H289 zenon_H93 zenon_H286 zenon_H282 zenon_H8d zenon_Hb0 zenon_H3f zenon_H3b zenon_H27e zenon_Hd7 zenon_H281 zenon_Hf1 zenon_H28d zenon_H21a zenon_H155 zenon_H15 zenon_H13 zenon_H206 zenon_H17 zenon_H204 zenon_H172 zenon_H179 zenon_H180 zenon_H186 zenon_H26c zenon_H33 zenon_H270 zenon_H26f zenon_H19d zenon_H23b zenon_H15f zenon_H15a zenon_H154 zenon_H1de zenon_H292 zenon_H23f zenon_H1da zenon_H14b.
% 54.60/54.86 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_H18f. zenon_intro zenon_H198.
% 54.60/54.86 apply (zenon_and_s _ _ zenon_H198). zenon_intro zenon_H293. zenon_intro zenon_H227.
% 54.60/54.86 apply (zenon_and_s _ _ zenon_H227). zenon_intro zenon_H229. zenon_intro zenon_H228.
% 54.60/54.86 apply (zenon_and_s _ _ zenon_H228). zenon_intro zenon_H22b. zenon_intro zenon_H22a.
% 54.60/54.86 apply (zenon_and_s _ _ zenon_H22a). zenon_intro zenon_H224. zenon_intro zenon_H22c.
% 54.60/54.86 apply (zenon_L146_); trivial.
% 54.60/54.86 (* end of lemma zenon_L147_ *)
% 54.60/54.86 assert (zenon_L148_ : (((op1 (e11) (e10)) = (e11))/\(((op1 (e10) (e11)) = (e11))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11))))/\(((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12))))/\((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13))))))))) -> (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> ((h2 (e11)) = (e21)) -> ((h2 (e10)) = (op2 (e21) (e21))) -> (~((h2 (op1 (e10) (e11))) = (op2 (h2 (e10)) (h2 (e11))))) -> (~((op2 (e21) (e21)) = (e21))) -> (~((e21) = (e22))) -> (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> ((e22) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> ((e20) = (op2 (e21) (e21))) -> ((e23) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> (((op2 (e20) (e21)) = (e20))\/(((op2 (e20) (e21)) = (e21))\/(((op2 (e20) (e21)) = (e22))\/((op2 (e20) (e21)) = (e23))))) -> (~((op2 (e22) (e22)) = (e22))) -> (~((op2 (e22) (e23)) = (e22))) -> False).
% 54.60/54.86 do 0 intro. intros zenon_H259 zenon_H28c zenon_H270 zenon_H26c zenon_H26f zenon_H28d zenon_H27e zenon_Hf1 zenon_H3f zenon_Hb0 zenon_H93 zenon_H33 zenon_H3b zenon_H286 zenon_H282 zenon_H8d zenon_H289 zenon_Hd7 zenon_H281.
% 54.60/54.86 apply (zenon_and_s _ _ zenon_H259). zenon_intro zenon_H163. zenon_intro zenon_H25a.
% 54.60/54.86 apply (zenon_and_s _ _ zenon_H25a). zenon_intro zenon_H1fe. zenon_intro zenon_H149.
% 54.60/54.86 apply (zenon_or_s _ _ zenon_H28c); [ zenon_intro zenon_Hb9 | zenon_intro zenon_H28e ].
% 54.60/54.86 apply (zenon_L129_); trivial.
% 54.60/54.86 apply (zenon_or_s _ _ zenon_H28e); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H28f ].
% 54.60/54.86 exact (zenon_H28d zenon_Hc3).
% 54.60/54.86 apply (zenon_or_s _ _ zenon_H28f); [ zenon_intro zenon_H27f | zenon_intro zenon_H283 ].
% 54.60/54.86 apply (zenon_L134_); trivial.
% 54.60/54.86 apply (zenon_L138_); trivial.
% 54.60/54.86 (* end of lemma zenon_L148_ *)
% 54.60/54.86 assert (zenon_L149_ : (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> ((op1 (e11) (op1 (e11) (e13))) = (e13)) -> ((op1 (e11) (e13)) = (e11)) -> ((op1 (e13) (e11)) = (e13)) -> False).
% 54.60/54.86 do 0 intro. intros zenon_H18a zenon_H29e zenon_H214 zenon_H1c3.
% 54.60/54.86 cut (((op1 (e11) (op1 (e11) (e13))) = (e13)) = ((op1 (e11) (e11)) = (op1 (e13) (e11)))).
% 54.60/54.86 intro zenon_D_pnotp.
% 54.60/54.86 apply zenon_H18a.
% 54.60/54.86 rewrite <- zenon_D_pnotp.
% 54.60/54.86 exact zenon_H29e.
% 54.60/54.86 cut (((e13) = (op1 (e13) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H29f].
% 54.60/54.86 cut (((op1 (e11) (op1 (e11) (e13))) = (op1 (e11) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H2a0].
% 54.60/54.86 congruence.
% 54.60/54.86 elim (classic ((op1 (e11) (e11)) = (op1 (e11) (e11)))); [ zenon_intro zenon_H296 | zenon_intro zenon_H14d ].
% 54.60/54.86 cut (((op1 (e11) (e11)) = (op1 (e11) (e11))) = ((op1 (e11) (op1 (e11) (e13))) = (op1 (e11) (e11)))).
% 54.60/54.86 intro zenon_D_pnotp.
% 54.60/54.86 apply zenon_H2a0.
% 54.60/54.86 rewrite <- zenon_D_pnotp.
% 54.60/54.86 exact zenon_H296.
% 54.60/54.86 cut (((op1 (e11) (e11)) = (op1 (e11) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H14d].
% 54.60/54.86 cut (((op1 (e11) (e11)) = (op1 (e11) (op1 (e11) (e13))))); [idtac | apply NNPP; zenon_intro zenon_H2a1].
% 54.60/54.86 congruence.
% 54.60/54.86 cut (((e11) = (op1 (e11) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H2a2].
% 54.60/54.86 cut (((e11) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H290].
% 54.60/54.86 congruence.
% 54.60/54.86 apply zenon_H290. apply refl_equal.
% 54.60/54.86 apply zenon_H2a2. apply sym_equal. exact zenon_H214.
% 54.60/54.86 apply zenon_H14d. apply refl_equal.
% 54.60/54.86 apply zenon_H14d. apply refl_equal.
% 54.60/54.86 apply zenon_H29f. apply sym_equal. exact zenon_H1c3.
% 54.60/54.86 (* end of lemma zenon_L149_ *)
% 54.60/54.86 assert (zenon_L150_ : (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e13) (e10)) = (e13))) -> ((op1 (e11) (e13)) = (e11)) -> ((op1 (e11) (op1 (e11) (e13))) = (e13)) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e13) (e12)) = (e13))) -> (~((op1 (e13) (e13)) = (e13))) -> False).
% 54.60/54.86 do 0 intro. intros zenon_H1be zenon_H1b6 zenon_H214 zenon_H29e zenon_H18a zenon_H1bd zenon_H1c0.
% 54.60/54.86 apply (zenon_or_s _ _ zenon_H1be); [ zenon_intro zenon_H1b0 | zenon_intro zenon_H1c1 ].
% 54.60/54.86 exact (zenon_H1b6 zenon_H1b0).
% 54.60/54.86 apply (zenon_or_s _ _ zenon_H1c1); [ zenon_intro zenon_H1c3 | zenon_intro zenon_H1c2 ].
% 54.60/54.86 apply (zenon_L149_); trivial.
% 54.60/54.86 apply (zenon_or_s _ _ zenon_H1c2); [ zenon_intro zenon_H1ba | zenon_intro zenon_H1c4 ].
% 54.60/54.86 exact (zenon_H1bd zenon_H1ba).
% 54.60/54.86 exact (zenon_H1c0 zenon_H1c4).
% 54.60/54.86 (* end of lemma zenon_L150_ *)
% 54.60/54.86 assert (zenon_L151_ : ((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13)))) -> (~((op1 (e13) (e10)) = (e13))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> ((op1 (e11) (op1 (e11) (e13))) = (e13)) -> ((op1 (e11) (e13)) = (e11)) -> (~((op1 (e13) (e12)) = (e13))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> False).
% 54.60/54.86 do 0 intro. intros zenon_H211 zenon_H1b6 zenon_H18a zenon_H29e zenon_H214 zenon_H1bd zenon_H1be.
% 54.60/54.86 apply (zenon_or_s _ _ zenon_H211); [ zenon_intro zenon_H1c0 | zenon_intro zenon_H1c0 ].
% 54.60/54.86 apply (zenon_L150_); trivial.
% 54.60/54.86 apply (zenon_L150_); trivial.
% 54.60/54.86 (* end of lemma zenon_L151_ *)
% 54.60/54.86 assert (zenon_L152_ : (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> ((op1 (e11) (e10)) = (e11)) -> ((op1 (e12) (e10)) = (e10)) -> ((op1 (e11) (op1 (e11) (e10))) = (e10)) -> (~((op1 (e12) (e12)) = (e11))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> ((op1 (e11) (e12)) = (e12)) -> ((op1 (e13) (e10)) = (e12)) -> ((e12) = (op1 (op1 (op1 (e11) (e11)) (op1 (e11) (e11))) (op1 (e11) (e11)))) -> ((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) -> ((op1 (e13) (e12)) = (e13)) -> ((op1 (e10) (e10)) = (e13)) -> ((e10) = (op1 (e11) (e11))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> False).
% 54.60/54.86 do 0 intro. intros zenon_H1da zenon_H2a3 zenon_H163 zenon_H293 zenon_H292 zenon_H23f zenon_H1cc zenon_H1c6 zenon_H16b zenon_H155 zenon_H15 zenon_H1ba zenon_H1a3 zenon_H13 zenon_H1d8.
% 54.60/54.86 apply (zenon_or_s _ _ zenon_H1da); [ zenon_intro zenon_H1e0 | zenon_intro zenon_H1df ].
% 54.60/54.86 elim (classic ((op1 (e12) (e12)) = (op1 (e12) (e12)))); [ zenon_intro zenon_H1cd | zenon_intro zenon_H1ce ].
% 54.60/54.86 cut (((op1 (e12) (e12)) = (op1 (e12) (e12))) = ((op1 (e12) (e10)) = (op1 (e12) (e12)))).
% 54.60/54.86 intro zenon_D_pnotp.
% 54.60/54.86 apply zenon_H2a3.
% 54.60/54.86 rewrite <- zenon_D_pnotp.
% 54.60/54.86 exact zenon_H1cd.
% 54.60/54.86 cut (((op1 (e12) (e12)) = (op1 (e12) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H1ce].
% 54.60/54.86 cut (((op1 (e12) (e12)) = (op1 (e12) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H2a4].
% 54.60/54.86 congruence.
% 54.60/54.86 cut (((e10) = (op1 (e11) (e11))) = ((op1 (e12) (e12)) = (op1 (e12) (e10)))).
% 54.60/54.86 intro zenon_D_pnotp.
% 54.60/54.86 apply zenon_H2a4.
% 54.60/54.86 rewrite <- zenon_D_pnotp.
% 54.60/54.86 exact zenon_H13.
% 54.60/54.86 cut (((op1 (e11) (e11)) = (op1 (e12) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H291].
% 54.60/54.86 cut (((e10) = (op1 (e12) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H29c].
% 54.60/54.86 congruence.
% 54.60/54.86 elim (classic ((op1 (e12) (e12)) = (op1 (e12) (e12)))); [ zenon_intro zenon_H1cd | zenon_intro zenon_H1ce ].
% 54.60/54.86 cut (((op1 (e12) (e12)) = (op1 (e12) (e12))) = ((e10) = (op1 (e12) (e12)))).
% 54.60/54.86 intro zenon_D_pnotp.
% 54.60/54.86 apply zenon_H29c.
% 54.60/54.86 rewrite <- zenon_D_pnotp.
% 54.60/54.86 exact zenon_H1cd.
% 54.60/54.86 cut (((op1 (e12) (e12)) = (op1 (e12) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H1ce].
% 54.60/54.86 cut (((op1 (e12) (e12)) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H1db].
% 54.60/54.86 congruence.
% 54.60/54.86 exact (zenon_H1db zenon_H1e0).
% 54.60/54.86 apply zenon_H1ce. apply refl_equal.
% 54.60/54.86 apply zenon_H1ce. apply refl_equal.
% 54.60/54.86 apply (zenon_L141_); trivial.
% 54.60/54.86 apply zenon_H1ce. apply refl_equal.
% 54.60/54.86 apply zenon_H1ce. apply refl_equal.
% 54.60/54.86 apply (zenon_or_s _ _ zenon_H1df); [ zenon_intro zenon_H1e2 | zenon_intro zenon_H1e1 ].
% 54.60/54.86 exact (zenon_H23f zenon_H1e2).
% 54.60/54.86 apply (zenon_or_s _ _ zenon_H1e1); [ zenon_intro zenon_H1cb | zenon_intro zenon_H1d3 ].
% 54.60/54.86 apply (zenon_L89_); trivial.
% 54.60/54.86 apply (zenon_L91_); trivial.
% 54.60/54.86 (* end of lemma zenon_L152_ *)
% 54.60/54.86 assert (zenon_L153_ : (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> ((op1 (e11) (op1 (e11) (e11))) = (e11)) -> ((e10) = (op1 (e11) (e11))) -> ((op1 (e12) (e10)) = (e11)) -> False).
% 54.60/54.86 do 0 intro. intros zenon_H2a5 zenon_H2a6 zenon_H13 zenon_H2a7.
% 54.60/54.86 cut (((op1 (e11) (op1 (e11) (e11))) = (e11)) = ((op1 (e11) (e10)) = (op1 (e12) (e10)))).
% 54.60/54.86 intro zenon_D_pnotp.
% 54.60/54.86 apply zenon_H2a5.
% 54.60/54.86 rewrite <- zenon_D_pnotp.
% 54.60/54.86 exact zenon_H2a6.
% 54.60/54.86 cut (((e11) = (op1 (e12) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H2a8].
% 54.60/54.86 cut (((op1 (e11) (op1 (e11) (e11))) = (op1 (e11) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H2a9].
% 54.60/54.86 congruence.
% 54.60/54.86 elim (classic ((op1 (e11) (e10)) = (op1 (e11) (e10)))); [ zenon_intro zenon_H14f | zenon_intro zenon_H150 ].
% 54.60/54.86 cut (((op1 (e11) (e10)) = (op1 (e11) (e10))) = ((op1 (e11) (op1 (e11) (e11))) = (op1 (e11) (e10)))).
% 54.60/54.86 intro zenon_D_pnotp.
% 54.60/54.86 apply zenon_H2a9.
% 54.60/54.86 rewrite <- zenon_D_pnotp.
% 54.60/54.86 exact zenon_H14f.
% 54.60/54.86 cut (((op1 (e11) (e10)) = (op1 (e11) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H150].
% 54.60/54.86 cut (((op1 (e11) (e10)) = (op1 (e11) (op1 (e11) (e11))))); [idtac | apply NNPP; zenon_intro zenon_H2aa].
% 54.60/54.86 congruence.
% 54.60/54.86 cut (((e10) = (op1 (e11) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H2ab].
% 54.60/54.86 cut (((e11) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H290].
% 54.60/54.86 congruence.
% 54.60/54.86 apply zenon_H290. apply refl_equal.
% 54.60/54.86 exact (zenon_H2ab zenon_H13).
% 54.60/54.86 apply zenon_H150. apply refl_equal.
% 54.60/54.86 apply zenon_H150. apply refl_equal.
% 54.60/54.86 apply zenon_H2a8. apply sym_equal. exact zenon_H2a7.
% 54.60/54.86 (* end of lemma zenon_L153_ *)
% 54.60/54.86 assert (zenon_L154_ : ((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) -> ((op1 (e12) (e10)) = (e13)) -> ((e10) = (op1 (e11) (e11))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> False).
% 54.60/54.86 do 0 intro. intros zenon_H15 zenon_H2ac zenon_H13 zenon_H2ad.
% 54.60/54.86 elim (classic ((op1 (e12) (e10)) = (op1 (e12) (e10)))); [ zenon_intro zenon_H21d | zenon_intro zenon_H21e ].
% 54.60/54.86 cut (((op1 (e12) (e10)) = (op1 (e12) (e10))) = ((op1 (e10) (e10)) = (op1 (e12) (e10)))).
% 54.60/54.86 intro zenon_D_pnotp.
% 54.60/54.86 apply zenon_H2ad.
% 54.60/54.86 rewrite <- zenon_D_pnotp.
% 54.60/54.86 exact zenon_H21d.
% 54.60/54.86 cut (((op1 (e12) (e10)) = (op1 (e12) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H21e].
% 54.60/54.86 cut (((op1 (e12) (e10)) = (op1 (e10) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H2ae].
% 54.60/54.86 congruence.
% 54.60/54.86 cut (((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) = ((op1 (e12) (e10)) = (op1 (e10) (e10)))).
% 54.60/54.86 intro zenon_D_pnotp.
% 54.60/54.86 apply zenon_H2ae.
% 54.60/54.86 rewrite <- zenon_D_pnotp.
% 54.60/54.86 exact zenon_H15.
% 54.60/54.86 cut (((op1 (op1 (e11) (e11)) (op1 (e11) (e11))) = (op1 (e10) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H12].
% 54.60/54.86 cut (((e13) = (op1 (e12) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H2af].
% 54.60/54.86 congruence.
% 54.60/54.86 elim (classic ((op1 (e12) (e10)) = (op1 (e12) (e10)))); [ zenon_intro zenon_H21d | zenon_intro zenon_H21e ].
% 54.60/54.86 cut (((op1 (e12) (e10)) = (op1 (e12) (e10))) = ((e13) = (op1 (e12) (e10)))).
% 54.60/54.86 intro zenon_D_pnotp.
% 54.60/54.86 apply zenon_H2af.
% 54.60/54.86 rewrite <- zenon_D_pnotp.
% 54.60/54.86 exact zenon_H21d.
% 54.60/54.86 cut (((op1 (e12) (e10)) = (op1 (e12) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H21e].
% 54.60/54.86 cut (((op1 (e12) (e10)) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H2b0].
% 54.60/54.86 congruence.
% 54.60/54.86 exact (zenon_H2b0 zenon_H2ac).
% 54.60/54.86 apply zenon_H21e. apply refl_equal.
% 54.60/54.86 apply zenon_H21e. apply refl_equal.
% 54.60/54.86 apply (zenon_L1_); trivial.
% 54.60/54.86 apply zenon_H21e. apply refl_equal.
% 54.60/54.86 apply zenon_H21e. apply refl_equal.
% 54.60/54.86 (* end of lemma zenon_L154_ *)
% 54.60/54.86 assert (zenon_L155_ : (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e12))\/((op1 (e11) (e10)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> ((op1 (e11) (op1 (e11) (e11))) = (e11)) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> ((op1 (e11) (op1 (e11) (e10))) = (e10)) -> (~((op1 (e12) (e12)) = (e11))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> ((op1 (e11) (e12)) = (e12)) -> ((op1 (e13) (e10)) = (e12)) -> ((op1 (e13) (e12)) = (e13)) -> ((op1 (e10) (e10)) = (e13)) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> ((e12) = (op1 (op1 (op1 (e11) (e11)) (op1 (e11) (e11))) (op1 (e11) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> ((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) -> ((e10) = (op1 (e11) (e11))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> False).
% 54.60/54.86 do 0 intro. intros zenon_H15f zenon_H14b zenon_H2ad zenon_H21a zenon_H2a5 zenon_H2a6 zenon_H1da zenon_H2a3 zenon_H292 zenon_H23f zenon_H1cc zenon_H1c6 zenon_H16b zenon_H1ba zenon_H1a3 zenon_H1d8 zenon_H2b1 zenon_H155 zenon_H154 zenon_H15 zenon_H13 zenon_H15a.
% 54.60/54.86 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_H14c | zenon_intro zenon_H161 ].
% 54.60/54.86 apply (zenon_L61_); trivial.
% 54.60/54.86 apply (zenon_or_s _ _ zenon_H161); [ zenon_intro zenon_H163 | zenon_intro zenon_H162 ].
% 54.60/54.86 apply (zenon_or_s _ _ zenon_H2b1); [ zenon_intro zenon_H293 | zenon_intro zenon_H2b2 ].
% 54.60/54.86 apply (zenon_L152_); trivial.
% 54.60/54.86 apply (zenon_or_s _ _ zenon_H2b2); [ zenon_intro zenon_H2a7 | zenon_intro zenon_H2b3 ].
% 54.60/54.86 apply (zenon_L153_); trivial.
% 54.60/54.86 apply (zenon_or_s _ _ zenon_H2b3); [ zenon_intro zenon_H21b | zenon_intro zenon_H2ac ].
% 54.60/54.86 apply (zenon_L109_); trivial.
% 54.60/54.86 apply (zenon_L154_); trivial.
% 54.60/54.86 apply (zenon_or_s _ _ zenon_H162); [ zenon_intro zenon_H156 | zenon_intro zenon_H159 ].
% 54.60/54.86 apply (zenon_L63_); trivial.
% 54.60/54.86 apply (zenon_L64_); trivial.
% 54.60/54.86 (* end of lemma zenon_L155_ *)
% 54.60/54.86 assert (zenon_L156_ : (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e13) (e10)) = (e13))) -> ((op1 (e11) (e13)) = (e11)) -> ((op1 (e11) (op1 (e11) (e13))) = (e13)) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> ((e10) = (op1 (e11) (e11))) -> ((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> ((e12) = (op1 (op1 (op1 (e11) (e11)) (op1 (e11) (e11))) (op1 (e11) (e11)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e10) (e10)) = (e13)) -> ((op1 (e13) (e10)) = (e12)) -> ((op1 (e11) (e12)) = (e12)) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e12)) = (e11))) -> ((op1 (e11) (op1 (e11) (e10))) = (e10)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> ((op1 (e11) (op1 (e11) (e11))) = (e11)) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e12))\/((op1 (e11) (e10)) = (e13))))) -> (~((op1 (e13) (e13)) = (e13))) -> False).
% 54.60/54.86 do 0 intro. intros zenon_H1be zenon_H1b6 zenon_H214 zenon_H29e zenon_H18a zenon_H15a zenon_H13 zenon_H15 zenon_H154 zenon_H155 zenon_H2b1 zenon_H1d8 zenon_H1a3 zenon_H16b zenon_H1c6 zenon_H1cc zenon_H23f zenon_H292 zenon_H2a3 zenon_H1da zenon_H2a6 zenon_H2a5 zenon_H21a zenon_H2ad zenon_H14b zenon_H15f zenon_H1c0.
% 54.60/54.86 apply (zenon_or_s _ _ zenon_H1be); [ zenon_intro zenon_H1b0 | zenon_intro zenon_H1c1 ].
% 54.60/54.86 exact (zenon_H1b6 zenon_H1b0).
% 54.60/54.86 apply (zenon_or_s _ _ zenon_H1c1); [ zenon_intro zenon_H1c3 | zenon_intro zenon_H1c2 ].
% 54.60/54.86 apply (zenon_L149_); trivial.
% 54.60/54.86 apply (zenon_or_s _ _ zenon_H1c2); [ zenon_intro zenon_H1ba | zenon_intro zenon_H1c4 ].
% 54.60/54.86 apply (zenon_L155_); trivial.
% 54.60/54.86 exact (zenon_H1c0 zenon_H1c4).
% 54.60/54.86 (* end of lemma zenon_L156_ *)
% 54.60/54.86 assert (zenon_L157_ : (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e13) (e13)) = (e13))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e12))\/((op1 (e11) (e10)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> ((op1 (e11) (op1 (e11) (e11))) = (e11)) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> ((op1 (e11) (op1 (e11) (e10))) = (e10)) -> (~((op1 (e12) (e12)) = (e11))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> ((op1 (e11) (e12)) = (e12)) -> ((op1 (e10) (e10)) = (e13)) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> ((op1 (e11) (op1 (e11) (e13))) = (e13)) -> ((op1 (e11) (e13)) = (e11)) -> (~((op1 (e13) (e10)) = (e13))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> ((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) -> ((e10) = (op1 (e11) (e11))) -> ((e12) = (op1 (op1 (op1 (e11) (e11)) (op1 (e11) (e11))) (op1 (e11) (e11)))) -> (~((op1 (e13) (e13)) = (e12))) -> False).
% 54.60/54.86 do 0 intro. intros zenon_H186 zenon_H1c0 zenon_H15f zenon_H14b zenon_H2ad zenon_H21a zenon_H2a5 zenon_H2a6 zenon_H1da zenon_H2a3 zenon_H292 zenon_H23f zenon_H1cc zenon_H1c6 zenon_H1a3 zenon_H1d8 zenon_H2b1 zenon_H154 zenon_H15a zenon_H18a zenon_H29e zenon_H214 zenon_H1b6 zenon_H1be zenon_H172 zenon_H179 zenon_H15 zenon_H13 zenon_H155 zenon_H185.
% 54.60/54.86 apply (zenon_or_s _ _ zenon_H186); [ zenon_intro zenon_H16b | zenon_intro zenon_H187 ].
% 54.60/54.86 apply (zenon_L156_); trivial.
% 54.60/54.86 apply (zenon_or_s _ _ zenon_H187); [ zenon_intro zenon_H171 | zenon_intro zenon_H188 ].
% 54.60/54.86 apply (zenon_L69_); trivial.
% 54.60/54.86 apply (zenon_or_s _ _ zenon_H188); [ zenon_intro zenon_H178 | zenon_intro zenon_H17f ].
% 54.60/54.86 apply (zenon_L70_); trivial.
% 54.60/54.86 exact (zenon_H185 zenon_H17f).
% 54.60/54.86 (* end of lemma zenon_L157_ *)
% 54.60/54.86 assert (zenon_L158_ : (~((op1 (e11) (e12)) = (op1 (e11) (op1 (e11) (e13))))) -> ((op1 (e11) (e13)) = (e12)) -> False).
% 54.60/54.86 do 0 intro. intros zenon_H2b4 zenon_H1ec.
% 54.60/54.86 cut (((e12) = (op1 (e11) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H1f1].
% 54.60/54.86 cut (((e11) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H290].
% 54.60/54.86 congruence.
% 54.60/54.86 apply zenon_H290. apply refl_equal.
% 54.60/54.86 apply zenon_H1f1. apply sym_equal. exact zenon_H1ec.
% 54.60/54.86 (* end of lemma zenon_L158_ *)
% 54.60/54.86 assert (zenon_L159_ : (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e11) (op1 (e11) (e13))) = (e13)) -> ((op1 (e11) (e13)) = (e12)) -> ((op1 (e13) (e12)) = (e13)) -> False).
% 54.60/54.86 do 0 intro. intros zenon_H1f4 zenon_H29e zenon_H1ec zenon_H1ba.
% 54.60/54.86 cut (((op1 (e11) (op1 (e11) (e13))) = (e13)) = ((op1 (e11) (e12)) = (op1 (e13) (e12)))).
% 54.60/54.86 intro zenon_D_pnotp.
% 54.60/54.86 apply zenon_H1f4.
% 54.60/54.86 rewrite <- zenon_D_pnotp.
% 54.60/54.86 exact zenon_H29e.
% 54.60/54.86 cut (((e13) = (op1 (e13) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H1bc].
% 54.60/54.86 cut (((op1 (e11) (op1 (e11) (e13))) = (op1 (e11) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H2b5].
% 54.60/54.86 congruence.
% 54.60/54.86 elim (classic ((op1 (e11) (e12)) = (op1 (e11) (e12)))); [ zenon_intro zenon_H1aa | zenon_intro zenon_H1ab ].
% 54.60/54.86 cut (((op1 (e11) (e12)) = (op1 (e11) (e12))) = ((op1 (e11) (op1 (e11) (e13))) = (op1 (e11) (e12)))).
% 54.60/54.86 intro zenon_D_pnotp.
% 54.60/54.86 apply zenon_H2b5.
% 54.60/54.86 rewrite <- zenon_D_pnotp.
% 54.60/54.86 exact zenon_H1aa.
% 54.60/54.86 cut (((op1 (e11) (e12)) = (op1 (e11) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H1ab].
% 54.60/54.86 cut (((op1 (e11) (e12)) = (op1 (e11) (op1 (e11) (e13))))); [idtac | apply NNPP; zenon_intro zenon_H2b4].
% 54.60/54.86 congruence.
% 54.60/54.86 apply (zenon_L158_); trivial.
% 54.60/54.86 apply zenon_H1ab. apply refl_equal.
% 54.60/54.86 apply zenon_H1ab. apply refl_equal.
% 54.60/54.86 apply zenon_H1bc. apply sym_equal. exact zenon_H1ba.
% 54.60/54.86 (* end of lemma zenon_L159_ *)
% 54.60/54.86 assert (zenon_L160_ : (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e13) (e13)) = (e13))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e11) (op1 (e11) (e13))) = (e13)) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> ((op1 (e11) (e13)) = (e11)) -> (~((op1 (e13) (e10)) = (e13))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e12))\/((op1 (e11) (e10)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> ((op1 (e11) (op1 (e11) (e11))) = (e11)) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> ((op1 (e11) (op1 (e11) (e10))) = (e10)) -> (~((op1 (e12) (e12)) = (e11))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> ((e12) = (op1 (op1 (op1 (e11) (e11)) (op1 (e11) (e11))) (op1 (e11) (e11)))) -> (~((op1 (e13) (e13)) = (e12))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> ((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) -> ((e10) = (op1 (e11) (e11))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> False).
% 54.60/54.86 do 0 intro. intros zenon_H1a0 zenon_H1c0 zenon_H1f4 zenon_H29e zenon_H18a zenon_H214 zenon_H1b6 zenon_H1be zenon_H186 zenon_H15f zenon_H14b zenon_H2ad zenon_H21a zenon_H2a5 zenon_H2a6 zenon_H1da zenon_H2a3 zenon_H292 zenon_H23f zenon_H1cc zenon_H1d8 zenon_H2b1 zenon_H154 zenon_H15a zenon_H172 zenon_H179 zenon_H155 zenon_H185 zenon_H18e zenon_H1fa zenon_H17 zenon_H1e zenon_H15 zenon_H13 zenon_H25.
% 54.60/54.86 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_H1a3 | zenon_intro zenon_H1a2 ].
% 54.60/54.86 apply (zenon_or_s _ _ zenon_H1fa); [ zenon_intro zenon_H156 | zenon_intro zenon_H1fb ].
% 54.60/54.86 apply (zenon_L63_); trivial.
% 54.60/54.86 apply (zenon_or_s _ _ zenon_H1fb); [ zenon_intro zenon_H1b8 | zenon_intro zenon_H1fc ].
% 54.60/54.86 apply (zenon_or_s _ _ zenon_H1be); [ zenon_intro zenon_H1b0 | zenon_intro zenon_H1c1 ].
% 54.60/54.86 exact (zenon_H1b6 zenon_H1b0).
% 54.60/54.86 apply (zenon_or_s _ _ zenon_H1c1); [ zenon_intro zenon_H1c3 | zenon_intro zenon_H1c2 ].
% 54.60/54.86 apply (zenon_L149_); trivial.
% 54.60/54.86 apply (zenon_or_s _ _ zenon_H1c2); [ zenon_intro zenon_H1ba | zenon_intro zenon_H1c4 ].
% 54.60/54.86 apply (zenon_L86_); trivial.
% 54.60/54.86 exact (zenon_H1c0 zenon_H1c4).
% 54.60/54.86 apply (zenon_or_s _ _ zenon_H1fc); [ zenon_intro zenon_H1c6 | zenon_intro zenon_H1ec ].
% 54.60/54.86 apply (zenon_L157_); trivial.
% 54.60/54.86 apply (zenon_or_s _ _ zenon_H1be); [ zenon_intro zenon_H1b0 | zenon_intro zenon_H1c1 ].
% 54.60/54.86 exact (zenon_H1b6 zenon_H1b0).
% 54.60/54.86 apply (zenon_or_s _ _ zenon_H1c1); [ zenon_intro zenon_H1c3 | zenon_intro zenon_H1c2 ].
% 54.60/54.86 apply (zenon_L149_); trivial.
% 54.60/54.86 apply (zenon_or_s _ _ zenon_H1c2); [ zenon_intro zenon_H1ba | zenon_intro zenon_H1c4 ].
% 54.60/54.86 apply (zenon_L159_); trivial.
% 54.60/54.86 exact (zenon_H1c0 zenon_H1c4).
% 54.60/54.86 apply (zenon_or_s _ _ zenon_H1a2); [ zenon_intro zenon_H16 | zenon_intro zenon_H1a4 ].
% 54.60/54.86 apply (zenon_L2_); trivial.
% 54.60/54.86 apply (zenon_or_s _ _ zenon_H1a4); [ zenon_intro zenon_H1d | zenon_intro zenon_H24 ].
% 54.60/54.86 apply (zenon_L3_); trivial.
% 54.60/54.86 apply (zenon_L4_); trivial.
% 54.60/54.86 (* end of lemma zenon_L160_ *)
% 54.60/54.86 assert (zenon_L161_ : (((op1 (e11) (e13)) = (e11))/\(((op1 (e13) (e11)) = (e11))/\(((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e13) (e13)) = (e10))))/\(((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11))))/\(((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e13) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13))))))))) -> (((op1 (e13) (e13)) = (e10))\/(((op1 (e13) (e13)) = (e11))\/(((op1 (e13) (e13)) = (e12))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e13)) = (e11))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> ((op1 (e11) (op1 (e11) (e13))) = (e13)) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> ((op1 (e11) (op1 (e11) (e11))) = (e11)) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> ((op1 (e11) (op1 (e11) (e10))) = (e10)) -> (~((op1 (e12) (e12)) = (e11))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e12))\/((op1 (e11) (e10)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> ((e10) = (op1 (e11) (e11))) -> ((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) -> ((e12) = (op1 (op1 (op1 (e11) (e11)) (op1 (e11) (e11))) (op1 (e11) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> False).
% 54.60/54.86 do 0 intro. intros zenon_H212 zenon_H20c zenon_H180 zenon_H20d zenon_H18a zenon_H29e zenon_H1be zenon_H1fa zenon_H1f4 zenon_H14b zenon_H2b1 zenon_H2ad zenon_H21a zenon_H2a6 zenon_H2a5 zenon_H2a3 zenon_H292 zenon_H23f zenon_H1cc zenon_H1d8 zenon_H1da zenon_H15a zenon_H15f zenon_H172 zenon_H179 zenon_H186 zenon_H18e zenon_H13 zenon_H15 zenon_H155 zenon_H154 zenon_H17 zenon_H1e zenon_H25 zenon_H1a0.
% 54.60/54.86 apply (zenon_and_s _ _ zenon_H212). zenon_intro zenon_H214. zenon_intro zenon_H213.
% 54.60/54.86 apply (zenon_and_s _ _ zenon_H213). zenon_intro zenon_H1ff. zenon_intro zenon_H19c.
% 54.60/54.86 apply (zenon_and_s _ _ zenon_H19c). zenon_intro zenon_H216. zenon_intro zenon_H215.
% 54.60/54.86 apply (zenon_and_s _ _ zenon_H215). zenon_intro zenon_H218. zenon_intro zenon_H217.
% 54.60/54.86 apply (zenon_and_s _ _ zenon_H217). zenon_intro zenon_H219. zenon_intro zenon_H211.
% 54.60/54.86 apply (zenon_or_s _ _ zenon_H216); [ zenon_intro zenon_H1b6 | zenon_intro zenon_H193 ].
% 54.60/54.86 apply (zenon_or_s _ _ zenon_H219); [ zenon_intro zenon_H1bd | zenon_intro zenon_H185 ].
% 54.60/54.86 apply (zenon_L151_); trivial.
% 54.60/54.86 apply (zenon_or_s _ _ zenon_H211); [ zenon_intro zenon_H1c0 | zenon_intro zenon_H1c0 ].
% 54.60/54.86 apply (zenon_L160_); trivial.
% 54.60/54.86 apply (zenon_L160_); trivial.
% 54.60/54.86 apply (zenon_L107_); trivial.
% 54.60/54.86 (* end of lemma zenon_L161_ *)
% 54.60/54.86 assert (zenon_L162_ : (~((op1 (op1 (e11) (e11)) (op1 (e11) (e11))) = (op1 (e10) (e13)))) -> ((op1 (e11) (e11)) = (e13)) -> ((e10) = (op1 (e11) (e11))) -> False).
% 54.60/54.86 do 0 intro. intros zenon_H2b6 zenon_H2b7 zenon_H13.
% 54.60/54.86 cut (((op1 (e11) (e11)) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H2b8].
% 54.60/54.86 cut (((op1 (e11) (e11)) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H14].
% 54.60/54.86 congruence.
% 54.60/54.86 apply zenon_H14. apply sym_equal. exact zenon_H13.
% 54.60/54.86 exact (zenon_H2b8 zenon_H2b7).
% 54.60/54.86 (* end of lemma zenon_L162_ *)
% 54.60/54.86 assert (zenon_L163_ : ((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) -> ((op1 (e12) (e13)) = (e13)) -> ((op1 (e11) (e11)) = (e13)) -> ((e10) = (op1 (e11) (e11))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> False).
% 54.60/54.86 do 0 intro. intros zenon_H15 zenon_H235 zenon_H2b7 zenon_H13 zenon_H2b9.
% 54.60/54.86 elim (classic ((op1 (e12) (e13)) = (op1 (e12) (e13)))); [ zenon_intro zenon_H2ba | zenon_intro zenon_H2bb ].
% 54.60/54.86 cut (((op1 (e12) (e13)) = (op1 (e12) (e13))) = ((op1 (e10) (e13)) = (op1 (e12) (e13)))).
% 54.60/54.86 intro zenon_D_pnotp.
% 54.60/54.86 apply zenon_H2b9.
% 54.60/54.86 rewrite <- zenon_D_pnotp.
% 54.60/54.86 exact zenon_H2ba.
% 54.60/54.86 cut (((op1 (e12) (e13)) = (op1 (e12) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H2bb].
% 54.60/54.86 cut (((op1 (e12) (e13)) = (op1 (e10) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H2bc].
% 54.60/54.86 congruence.
% 54.60/54.86 cut (((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) = ((op1 (e12) (e13)) = (op1 (e10) (e13)))).
% 54.60/54.86 intro zenon_D_pnotp.
% 54.60/54.86 apply zenon_H2bc.
% 54.60/54.86 rewrite <- zenon_D_pnotp.
% 54.60/54.86 exact zenon_H15.
% 54.60/54.86 cut (((op1 (op1 (e11) (e11)) (op1 (e11) (e11))) = (op1 (e10) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H2b6].
% 54.60/54.86 cut (((e13) = (op1 (e12) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H2bd].
% 54.60/54.86 congruence.
% 54.60/54.86 elim (classic ((op1 (e12) (e13)) = (op1 (e12) (e13)))); [ zenon_intro zenon_H2ba | zenon_intro zenon_H2bb ].
% 54.60/54.86 cut (((op1 (e12) (e13)) = (op1 (e12) (e13))) = ((e13) = (op1 (e12) (e13)))).
% 54.60/54.86 intro zenon_D_pnotp.
% 54.60/54.86 apply zenon_H2bd.
% 54.60/54.86 rewrite <- zenon_D_pnotp.
% 54.60/54.86 exact zenon_H2ba.
% 54.60/54.86 cut (((op1 (e12) (e13)) = (op1 (e12) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H2bb].
% 54.60/54.86 cut (((op1 (e12) (e13)) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H23a].
% 54.60/54.86 congruence.
% 54.60/54.86 exact (zenon_H23a zenon_H235).
% 54.60/54.86 apply zenon_H2bb. apply refl_equal.
% 54.60/54.86 apply zenon_H2bb. apply refl_equal.
% 54.60/54.86 apply (zenon_L162_); trivial.
% 54.60/54.86 apply zenon_H2bb. apply refl_equal.
% 54.60/54.86 apply zenon_H2bb. apply refl_equal.
% 54.60/54.86 (* end of lemma zenon_L163_ *)
% 54.60/54.86 assert (zenon_L164_ : (~((op1 (e11) (e13)) = (op1 (e11) (op1 (e11) (e13))))) -> ((op1 (e11) (e13)) = (e13)) -> False).
% 54.60/54.86 do 0 intro. intros zenon_H2be zenon_H234.
% 54.60/54.86 cut (((e13) = (op1 (e11) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H2bf].
% 54.60/54.86 cut (((e11) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H290].
% 54.60/54.86 congruence.
% 54.60/54.86 apply zenon_H290. apply refl_equal.
% 54.60/54.86 apply zenon_H2bf. apply sym_equal. exact zenon_H234.
% 54.60/54.86 (* end of lemma zenon_L164_ *)
% 54.60/54.86 assert (zenon_L165_ : (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> ((op1 (e11) (op1 (e11) (e13))) = (e13)) -> ((op1 (e11) (e13)) = (e13)) -> ((op1 (e12) (e13)) = (e13)) -> False).
% 54.60/54.86 do 0 intro. intros zenon_H2c0 zenon_H29e zenon_H234 zenon_H235.
% 54.60/54.86 cut (((op1 (e11) (op1 (e11) (e13))) = (e13)) = ((op1 (e11) (e13)) = (op1 (e12) (e13)))).
% 54.60/54.86 intro zenon_D_pnotp.
% 54.60/54.86 apply zenon_H2c0.
% 54.60/54.86 rewrite <- zenon_D_pnotp.
% 54.60/54.86 exact zenon_H29e.
% 54.60/54.86 cut (((e13) = (op1 (e12) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H2bd].
% 54.60/54.86 cut (((op1 (e11) (op1 (e11) (e13))) = (op1 (e11) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H2c1].
% 54.60/54.86 congruence.
% 54.60/54.86 elim (classic ((op1 (e11) (e13)) = (op1 (e11) (e13)))); [ zenon_intro zenon_H1ee | zenon_intro zenon_H1ef ].
% 54.60/54.86 cut (((op1 (e11) (e13)) = (op1 (e11) (e13))) = ((op1 (e11) (op1 (e11) (e13))) = (op1 (e11) (e13)))).
% 54.60/54.86 intro zenon_D_pnotp.
% 54.60/54.86 apply zenon_H2c1.
% 54.60/54.86 rewrite <- zenon_D_pnotp.
% 54.60/54.86 exact zenon_H1ee.
% 54.60/54.86 cut (((op1 (e11) (e13)) = (op1 (e11) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H1ef].
% 54.60/54.86 cut (((op1 (e11) (e13)) = (op1 (e11) (op1 (e11) (e13))))); [idtac | apply NNPP; zenon_intro zenon_H2be].
% 54.60/54.86 congruence.
% 54.60/54.86 apply (zenon_L164_); trivial.
% 54.60/54.86 apply zenon_H1ef. apply refl_equal.
% 54.60/54.86 apply zenon_H1ef. apply refl_equal.
% 54.60/54.86 apply zenon_H2bd. apply sym_equal. exact zenon_H235.
% 54.60/54.86 (* end of lemma zenon_L165_ *)
% 54.60/54.86 assert (zenon_L166_ : (((op1 (e13) (e12)) = (e13))/\(((op1 (e12) (e13)) = (e13))/\(((~((op1 (e12) (e10)) = (e12)))\/(~((op1 (e12) (e12)) = (e10))))/\(((~((op1 (e12) (e11)) = (e12)))\/(~((op1 (e12) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13))))))))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> ((e10) = (op1 (e11) (e11))) -> ((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> ((op1 (e11) (op1 (e11) (e13))) = (e13)) -> False).
% 54.60/54.86 do 0 intro. intros zenon_H240 zenon_H2c2 zenon_H15a zenon_H2b9 zenon_H13 zenon_H15 zenon_H1f4 zenon_H2c0 zenon_H29e.
% 54.60/54.86 apply (zenon_and_s _ _ zenon_H240). zenon_intro zenon_H1ba. zenon_intro zenon_H241.
% 54.60/54.86 apply (zenon_and_s _ _ zenon_H241). zenon_intro zenon_H235. zenon_intro zenon_H227.
% 54.60/54.86 apply (zenon_or_s _ _ zenon_H2c2); [ zenon_intro zenon_H159 | zenon_intro zenon_H2c3 ].
% 54.60/54.86 apply (zenon_L64_); trivial.
% 54.60/54.86 apply (zenon_or_s _ _ zenon_H2c3); [ zenon_intro zenon_H2b7 | zenon_intro zenon_H2c4 ].
% 54.60/54.86 apply (zenon_L163_); trivial.
% 54.60/54.86 apply (zenon_or_s _ _ zenon_H2c4); [ zenon_intro zenon_H1f3 | zenon_intro zenon_H234 ].
% 54.60/54.86 apply (zenon_L96_); trivial.
% 54.60/54.86 apply (zenon_L165_); trivial.
% 54.60/54.86 (* end of lemma zenon_L166_ *)
% 54.60/54.86 assert (zenon_L167_ : (((op1 (e11) (e13)) = (e11))/\(((op1 (e13) (e11)) = (e11))/\(((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e13) (e13)) = (e10))))/\(((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11))))/\(((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e13) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13))))))))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> ((op1 (e11) (op1 (e11) (e13))) = (e13)) -> ((op1 (e13) (e11)) = (e13)) -> False).
% 54.60/54.86 do 0 intro. intros zenon_H212 zenon_H18a zenon_H29e zenon_H1c3.
% 54.60/54.86 apply (zenon_and_s _ _ zenon_H212). zenon_intro zenon_H214. zenon_intro zenon_H213.
% 54.60/54.86 apply (zenon_L149_); trivial.
% 54.60/54.86 (* end of lemma zenon_L167_ *)
% 54.60/54.86 assert (zenon_L168_ : (((op1 (e10) (e12)) = (e10))/\(((op1 (e12) (e10)) = (e10))/\(((~((op1 (e12) (e10)) = (e12)))\/(~((op1 (e12) (e12)) = (e10))))/\(((~((op1 (e12) (e11)) = (e12)))\/(~((op1 (e12) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13))))))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> ((op1 (e11) (op1 (e11) (e10))) = (e10)) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e12))\/((op1 (e11) (e10)) = (e13))))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (~((h2 (op1 (e10) (e11))) = (op2 (h2 (e10)) (h2 (e11))))) -> ((h2 (e11)) = (e21)) -> ((e20) = (op2 (e21) (e21))) -> ((h2 (e10)) = (op2 (e21) (e21))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e11)) = (e12))\/((op1 (e10) (e11)) = (e13))))) -> ((e10) = (op1 (e11) (e11))) -> ((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) -> ((e12) = (op1 (op1 (op1 (e11) (e11)) (op1 (e11) (e11))) (op1 (e11) (e11)))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (~((op2 (e21) (e21)) = (e21))) -> (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> (~((op2 (e22) (e23)) = (e22))) -> (~((op2 (e22) (e22)) = (e22))) -> (~((e21) = (e22))) -> ((e23) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((e22) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> (((op2 (e20) (e21)) = (e20))\/(((op2 (e20) (e21)) = (e21))\/(((op2 (e20) (e21)) = (e22))\/((op2 (e20) (e21)) = (e23))))) -> (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> ((op1 (e12) (e11)) = (e12)) -> False).
% 54.60/54.86 do 0 intro. intros zenon_H197 zenon_H14b zenon_H1da zenon_H292 zenon_H1de zenon_H154 zenon_H15a zenon_H15f zenon_H23b zenon_H19d zenon_H26f zenon_H270 zenon_H33 zenon_H26c zenon_H186 zenon_H180 zenon_H179 zenon_H172 zenon_H204 zenon_H17 zenon_H206 zenon_H13 zenon_H15 zenon_H155 zenon_H21a zenon_H28d zenon_Hf1 zenon_H281 zenon_Hd7 zenon_H27e zenon_H3b zenon_H3f zenon_Hb0 zenon_H8d zenon_H282 zenon_H286 zenon_H93 zenon_H289 zenon_H28c zenon_H202.
% 54.60/54.86 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_H18f. zenon_intro zenon_H198.
% 54.60/54.86 apply (zenon_and_s _ _ zenon_H198). zenon_intro zenon_H293. zenon_intro zenon_H227.
% 54.60/54.86 apply (zenon_and_s _ _ zenon_H227). zenon_intro zenon_H229. zenon_intro zenon_H228.
% 54.60/54.86 apply (zenon_and_s _ _ zenon_H228). zenon_intro zenon_H22b. zenon_intro zenon_H22a.
% 54.60/54.86 apply (zenon_and_s _ _ zenon_H22a). zenon_intro zenon_H224. zenon_intro zenon_H22c.
% 54.60/54.86 apply (zenon_or_s _ _ zenon_H22b); [ zenon_intro zenon_H23c | zenon_intro zenon_H23f ].
% 54.60/54.86 exact (zenon_H23c zenon_H202).
% 54.60/54.86 apply (zenon_L146_); trivial.
% 54.60/54.86 (* end of lemma zenon_L168_ *)
% 54.60/54.86 assert (zenon_L169_ : (((op1 (e11) (e13)) = (e11))/\(((op1 (e13) (e11)) = (e11))/\(((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e13) (e13)) = (e10))))/\(((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11))))/\(((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e13) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13))))))))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> ((op1 (e12) (e11)) = (e12)) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e11)) = (e12))\/((op1 (e10) (e11)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> ((e12) = (op1 (op1 (op1 (e11) (e11)) (op1 (e11) (e11))) (op1 (e11) (e11)))) -> ((e10) = (op1 (e11) (e11))) -> ((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> False).
% 54.60/54.86 do 0 intro. intros zenon_H212 zenon_H186 zenon_H17 zenon_H204 zenon_H202 zenon_H1fd zenon_H19d zenon_H206 zenon_H172 zenon_H179 zenon_H155 zenon_H13 zenon_H15 zenon_H180.
% 54.60/54.86 apply (zenon_and_s _ _ zenon_H212). zenon_intro zenon_H214. zenon_intro zenon_H213.
% 54.60/54.86 apply (zenon_and_s _ _ zenon_H213). zenon_intro zenon_H1ff. zenon_intro zenon_H19c.
% 54.60/54.86 apply (zenon_L104_); trivial.
% 54.60/54.86 (* end of lemma zenon_L169_ *)
% 54.60/54.86 assert (zenon_L170_ : (~((op1 (e12) (e12)) = (op1 (e12) (op1 (e12) (e13))))) -> ((op1 (e12) (e13)) = (e12)) -> False).
% 54.60/54.86 do 0 intro. intros zenon_H2c5 zenon_H22f.
% 54.60/54.86 cut (((e12) = (op1 (e12) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H2c6].
% 54.60/54.86 cut (((e12) = (e12))); [idtac | apply NNPP; zenon_intro zenon_H16e].
% 54.60/54.86 congruence.
% 54.60/54.86 apply zenon_H16e. apply refl_equal.
% 54.60/54.86 apply zenon_H2c6. apply sym_equal. exact zenon_H22f.
% 54.60/54.86 (* end of lemma zenon_L170_ *)
% 54.60/54.86 assert (zenon_L171_ : ((op1 (e12) (op1 (e12) (e13))) = (e13)) -> ((op1 (e12) (e13)) = (e12)) -> ((op1 (e11) (e12)) = (e13)) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> False).
% 54.60/54.86 do 0 intro. intros zenon_H2c7 zenon_H22f zenon_H1f3 zenon_H1cc.
% 54.60/54.86 elim (classic ((op1 (e12) (e12)) = (op1 (e12) (e12)))); [ zenon_intro zenon_H1cd | zenon_intro zenon_H1ce ].
% 54.60/54.86 cut (((op1 (e12) (e12)) = (op1 (e12) (e12))) = ((op1 (e11) (e12)) = (op1 (e12) (e12)))).
% 54.60/54.86 intro zenon_D_pnotp.
% 54.60/54.86 apply zenon_H1cc.
% 54.60/54.86 rewrite <- zenon_D_pnotp.
% 54.60/54.86 exact zenon_H1cd.
% 54.60/54.86 cut (((op1 (e12) (e12)) = (op1 (e12) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H1ce].
% 54.60/54.86 cut (((op1 (e12) (e12)) = (op1 (e11) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H1cf].
% 54.60/54.86 congruence.
% 54.60/54.86 cut (((op1 (e12) (op1 (e12) (e13))) = (e13)) = ((op1 (e12) (e12)) = (op1 (e11) (e12)))).
% 54.60/54.86 intro zenon_D_pnotp.
% 54.60/54.86 apply zenon_H1cf.
% 54.60/54.86 rewrite <- zenon_D_pnotp.
% 54.60/54.86 exact zenon_H2c7.
% 54.60/54.86 cut (((e13) = (op1 (e11) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H1f6].
% 54.60/54.86 cut (((op1 (e12) (op1 (e12) (e13))) = (op1 (e12) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H2c8].
% 54.60/54.86 congruence.
% 54.60/54.86 elim (classic ((op1 (e12) (e12)) = (op1 (e12) (e12)))); [ zenon_intro zenon_H1cd | zenon_intro zenon_H1ce ].
% 54.60/54.86 cut (((op1 (e12) (e12)) = (op1 (e12) (e12))) = ((op1 (e12) (op1 (e12) (e13))) = (op1 (e12) (e12)))).
% 54.60/54.86 intro zenon_D_pnotp.
% 54.60/54.86 apply zenon_H2c8.
% 54.60/54.86 rewrite <- zenon_D_pnotp.
% 54.60/54.86 exact zenon_H1cd.
% 54.60/54.86 cut (((op1 (e12) (e12)) = (op1 (e12) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H1ce].
% 54.60/54.86 cut (((op1 (e12) (e12)) = (op1 (e12) (op1 (e12) (e13))))); [idtac | apply NNPP; zenon_intro zenon_H2c5].
% 54.60/54.86 congruence.
% 54.60/54.86 apply (zenon_L170_); trivial.
% 54.60/54.86 apply zenon_H1ce. apply refl_equal.
% 54.60/54.86 apply zenon_H1ce. apply refl_equal.
% 54.60/54.86 apply zenon_H1f6. apply sym_equal. exact zenon_H1f3.
% 54.60/54.86 apply zenon_H1ce. apply refl_equal.
% 54.60/54.86 apply zenon_H1ce. apply refl_equal.
% 54.60/54.86 (* end of lemma zenon_L171_ *)
% 54.60/54.86 assert (zenon_L172_ : (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e12) (op1 (e12) (e13))) = (e13)) -> ((op1 (e12) (e13)) = (e12)) -> ((op1 (e13) (e12)) = (e13)) -> False).
% 54.60/54.86 do 0 intro. intros zenon_H1d8 zenon_H2c7 zenon_H22f zenon_H1ba.
% 54.60/54.86 cut (((op1 (e12) (op1 (e12) (e13))) = (e13)) = ((op1 (e12) (e12)) = (op1 (e13) (e12)))).
% 54.60/54.86 intro zenon_D_pnotp.
% 54.60/54.86 apply zenon_H1d8.
% 54.60/54.86 rewrite <- zenon_D_pnotp.
% 54.60/54.86 exact zenon_H2c7.
% 54.60/54.86 cut (((e13) = (op1 (e13) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H1bc].
% 54.60/54.86 cut (((op1 (e12) (op1 (e12) (e13))) = (op1 (e12) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H2c8].
% 54.60/54.86 congruence.
% 54.60/54.86 elim (classic ((op1 (e12) (e12)) = (op1 (e12) (e12)))); [ zenon_intro zenon_H1cd | zenon_intro zenon_H1ce ].
% 54.60/54.86 cut (((op1 (e12) (e12)) = (op1 (e12) (e12))) = ((op1 (e12) (op1 (e12) (e13))) = (op1 (e12) (e12)))).
% 54.60/54.86 intro zenon_D_pnotp.
% 54.60/54.86 apply zenon_H2c8.
% 54.60/54.86 rewrite <- zenon_D_pnotp.
% 54.60/54.86 exact zenon_H1cd.
% 54.60/54.86 cut (((op1 (e12) (e12)) = (op1 (e12) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H1ce].
% 54.60/54.86 cut (((op1 (e12) (e12)) = (op1 (e12) (op1 (e12) (e13))))); [idtac | apply NNPP; zenon_intro zenon_H2c5].
% 54.60/54.86 congruence.
% 54.60/54.86 apply (zenon_L170_); trivial.
% 54.60/54.86 apply zenon_H1ce. apply refl_equal.
% 54.60/54.86 apply zenon_H1ce. apply refl_equal.
% 54.60/54.86 apply zenon_H1bc. apply sym_equal. exact zenon_H1ba.
% 54.60/54.86 (* end of lemma zenon_L172_ *)
% 54.60/54.86 assert (zenon_L173_ : (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> ((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) -> ((e10) = (op1 (e11) (e11))) -> ((e12) = (op1 (op1 (op1 (e11) (e11)) (op1 (e11) (e11))) (op1 (e11) (e11)))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e12) (e11)) = (e12))) -> (~((op1 (e12) (e12)) = (e12))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e12) (op1 (e12) (e13))) = (e13)) -> ((op1 (e13) (e12)) = (e13)) -> False).
% 54.60/54.86 do 0 intro. intros zenon_H23b zenon_H15 zenon_H13 zenon_H155 zenon_H21a zenon_H23c zenon_H1d1 zenon_H1d8 zenon_H2c7 zenon_H1ba.
% 54.60/54.86 apply (zenon_or_s _ _ zenon_H23b); [ zenon_intro zenon_H21b | zenon_intro zenon_H23d ].
% 54.60/54.86 apply (zenon_L109_); trivial.
% 54.60/54.86 apply (zenon_or_s _ _ zenon_H23d); [ zenon_intro zenon_H202 | zenon_intro zenon_H23e ].
% 54.60/54.86 exact (zenon_H23c zenon_H202).
% 54.60/54.86 apply (zenon_or_s _ _ zenon_H23e); [ zenon_intro zenon_H1cb | zenon_intro zenon_H22f ].
% 54.60/54.86 exact (zenon_H1d1 zenon_H1cb).
% 54.60/54.86 apply (zenon_L172_); trivial.
% 54.60/54.86 (* end of lemma zenon_L173_ *)
% 54.60/54.86 assert (zenon_L174_ : ((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13)))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e12) (op1 (e12) (e13))) = (e13)) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> ((e12) = (op1 (op1 (op1 (e11) (e11)) (op1 (e11) (e11))) (op1 (e11) (e11)))) -> ((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) -> ((e10) = (op1 (e11) (e11))) -> (~((op1 (e12) (e11)) = (e12))) -> (~((op1 (e12) (e12)) = (e12))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> False).
% 54.60/54.86 do 0 intro. intros zenon_H22c zenon_H2c9 zenon_H1d8 zenon_H2c7 zenon_H1cc zenon_H1e zenon_H21a zenon_H155 zenon_H15 zenon_H13 zenon_H23c zenon_H1d1 zenon_H23b.
% 54.60/54.86 apply (zenon_or_s _ _ zenon_H22c); [ zenon_intro zenon_H27d | zenon_intro zenon_H29d ].
% 54.60/54.86 apply (zenon_or_s _ _ zenon_H23b); [ zenon_intro zenon_H21b | zenon_intro zenon_H23d ].
% 54.60/54.86 apply (zenon_L109_); trivial.
% 54.60/54.86 apply (zenon_or_s _ _ zenon_H23d); [ zenon_intro zenon_H202 | zenon_intro zenon_H23e ].
% 54.60/54.86 exact (zenon_H23c zenon_H202).
% 54.60/54.86 apply (zenon_or_s _ _ zenon_H23e); [ zenon_intro zenon_H1cb | zenon_intro zenon_H22f ].
% 54.60/54.86 exact (zenon_H1d1 zenon_H1cb).
% 54.60/54.86 exact (zenon_H27d zenon_H22f).
% 54.60/54.86 apply (zenon_or_s _ _ zenon_H23b); [ zenon_intro zenon_H21b | zenon_intro zenon_H23d ].
% 54.60/54.86 apply (zenon_L109_); trivial.
% 54.60/54.86 apply (zenon_or_s _ _ zenon_H23d); [ zenon_intro zenon_H202 | zenon_intro zenon_H23e ].
% 54.60/54.86 exact (zenon_H23c zenon_H202).
% 54.60/54.86 apply (zenon_or_s _ _ zenon_H23e); [ zenon_intro zenon_H1cb | zenon_intro zenon_H22f ].
% 54.60/54.86 exact (zenon_H1d1 zenon_H1cb).
% 54.60/54.86 apply (zenon_or_s _ _ zenon_H2c9); [ zenon_intro zenon_H1d | zenon_intro zenon_H2ca ].
% 54.60/54.86 apply (zenon_L3_); trivial.
% 54.60/54.86 apply (zenon_or_s _ _ zenon_H2ca); [ zenon_intro zenon_H1f3 | zenon_intro zenon_H2cb ].
% 54.60/54.86 apply (zenon_L171_); trivial.
% 54.60/54.86 apply (zenon_or_s _ _ zenon_H2cb); [ zenon_intro zenon_H1d3 | zenon_intro zenon_H1ba ].
% 54.60/54.86 exact (zenon_H29d zenon_H1d3).
% 54.60/54.86 apply (zenon_L173_); trivial.
% 54.60/54.86 (* end of lemma zenon_L174_ *)
% 54.60/54.86 assert (zenon_L175_ : (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> ((op1 (e12) (op1 (e12) (e12))) = (e12)) -> ((op1 (e12) (e12)) = (e10)) -> ((op1 (e13) (e10)) = (e12)) -> False).
% 54.60/54.86 do 0 intro. intros zenon_H21a zenon_H2cc zenon_H1e0 zenon_H16b.
% 54.60/54.86 cut (((op1 (e12) (op1 (e12) (e12))) = (e12)) = ((op1 (e12) (e10)) = (op1 (e13) (e10)))).
% 54.60/54.86 intro zenon_D_pnotp.
% 54.60/54.86 apply zenon_H21a.
% 54.60/54.86 rewrite <- zenon_D_pnotp.
% 54.60/54.86 exact zenon_H2cc.
% 54.60/54.86 cut (((e12) = (op1 (e13) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H2cd].
% 54.60/54.86 cut (((op1 (e12) (op1 (e12) (e12))) = (op1 (e12) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H2ce].
% 54.60/54.86 congruence.
% 54.60/54.86 elim (classic ((op1 (e12) (e10)) = (op1 (e12) (e10)))); [ zenon_intro zenon_H21d | zenon_intro zenon_H21e ].
% 54.60/54.86 cut (((op1 (e12) (e10)) = (op1 (e12) (e10))) = ((op1 (e12) (op1 (e12) (e12))) = (op1 (e12) (e10)))).
% 54.60/54.86 intro zenon_D_pnotp.
% 54.60/54.86 apply zenon_H2ce.
% 54.60/54.86 rewrite <- zenon_D_pnotp.
% 54.60/54.86 exact zenon_H21d.
% 54.60/54.86 cut (((op1 (e12) (e10)) = (op1 (e12) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H21e].
% 54.60/54.86 cut (((op1 (e12) (e10)) = (op1 (e12) (op1 (e12) (e12))))); [idtac | apply NNPP; zenon_intro zenon_H2cf].
% 54.60/54.86 congruence.
% 54.60/54.86 cut (((e10) = (op1 (e12) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H29c].
% 54.60/54.86 cut (((e12) = (e12))); [idtac | apply NNPP; zenon_intro zenon_H16e].
% 54.60/54.86 congruence.
% 54.60/54.86 apply zenon_H16e. apply refl_equal.
% 54.60/54.86 apply zenon_H29c. apply sym_equal. exact zenon_H1e0.
% 54.60/54.86 apply zenon_H21e. apply refl_equal.
% 54.60/54.86 apply zenon_H21e. apply refl_equal.
% 54.60/54.86 apply zenon_H2cd. apply sym_equal. exact zenon_H16b.
% 54.60/54.86 (* end of lemma zenon_L175_ *)
% 54.60/54.86 assert (zenon_L176_ : (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> ((op1 (e12) (e12)) = (e10)) -> ((op1 (e12) (op1 (e12) (e12))) = (e12)) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> ((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) -> ((e10) = (op1 (e11) (e11))) -> ((e12) = (op1 (op1 (op1 (e11) (e11)) (op1 (e11) (e11))) (op1 (e11) (e11)))) -> (~((op1 (e13) (e13)) = (e12))) -> False).
% 54.60/54.86 do 0 intro. intros zenon_H186 zenon_H1e0 zenon_H2cc zenon_H21a zenon_H172 zenon_H179 zenon_H15 zenon_H13 zenon_H155 zenon_H185.
% 54.60/54.86 apply (zenon_or_s _ _ zenon_H186); [ zenon_intro zenon_H16b | zenon_intro zenon_H187 ].
% 54.60/54.86 apply (zenon_L175_); trivial.
% 54.60/54.86 apply (zenon_or_s _ _ zenon_H187); [ zenon_intro zenon_H171 | zenon_intro zenon_H188 ].
% 54.60/54.86 apply (zenon_L69_); trivial.
% 54.60/54.86 apply (zenon_or_s _ _ zenon_H188); [ zenon_intro zenon_H178 | zenon_intro zenon_H17f ].
% 54.60/54.86 apply (zenon_L70_); trivial.
% 54.60/54.86 exact (zenon_H185 zenon_H17f).
% 54.60/54.86 (* end of lemma zenon_L176_ *)
% 54.60/54.86 assert (zenon_L177_ : (~((op1 (e12) (e13)) = (op1 (e12) (op1 (e12) (e12))))) -> ((op1 (e12) (e12)) = (e13)) -> False).
% 54.60/54.86 do 0 intro. intros zenon_H2d0 zenon_H1d3.
% 54.60/54.86 cut (((e13) = (op1 (e12) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H1d4].
% 54.60/54.86 cut (((e12) = (e12))); [idtac | apply NNPP; zenon_intro zenon_H16e].
% 54.60/54.86 congruence.
% 54.60/54.86 apply zenon_H16e. apply refl_equal.
% 54.60/54.86 apply zenon_H1d4. apply sym_equal. exact zenon_H1d3.
% 54.60/54.86 (* end of lemma zenon_L177_ *)
% 54.60/54.86 assert (zenon_L178_ : ((op1 (e12) (op1 (e12) (e12))) = (e12)) -> ((op1 (e12) (e12)) = (e13)) -> ((op1 (e12) (e11)) = (e12)) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> False).
% 54.60/54.86 do 0 intro. intros zenon_H2cc zenon_H1d3 zenon_H202 zenon_H2d1.
% 54.60/54.86 elim (classic ((op1 (e12) (e13)) = (op1 (e12) (e13)))); [ zenon_intro zenon_H2ba | zenon_intro zenon_H2bb ].
% 54.60/54.86 cut (((op1 (e12) (e13)) = (op1 (e12) (e13))) = ((op1 (e12) (e11)) = (op1 (e12) (e13)))).
% 54.60/54.86 intro zenon_D_pnotp.
% 54.60/54.86 apply zenon_H2d1.
% 54.60/54.86 rewrite <- zenon_D_pnotp.
% 54.60/54.86 exact zenon_H2ba.
% 54.60/54.86 cut (((op1 (e12) (e13)) = (op1 (e12) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H2bb].
% 54.60/54.86 cut (((op1 (e12) (e13)) = (op1 (e12) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H2d2].
% 54.60/54.86 congruence.
% 54.60/54.86 cut (((op1 (e12) (op1 (e12) (e12))) = (e12)) = ((op1 (e12) (e13)) = (op1 (e12) (e11)))).
% 54.60/54.86 intro zenon_D_pnotp.
% 54.60/54.86 apply zenon_H2d2.
% 54.60/54.86 rewrite <- zenon_D_pnotp.
% 54.60/54.86 exact zenon_H2cc.
% 54.60/54.86 cut (((e12) = (op1 (e12) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H203].
% 54.60/54.86 cut (((op1 (e12) (op1 (e12) (e12))) = (op1 (e12) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H2d3].
% 54.60/54.86 congruence.
% 54.60/54.86 elim (classic ((op1 (e12) (e13)) = (op1 (e12) (e13)))); [ zenon_intro zenon_H2ba | zenon_intro zenon_H2bb ].
% 54.60/54.86 cut (((op1 (e12) (e13)) = (op1 (e12) (e13))) = ((op1 (e12) (op1 (e12) (e12))) = (op1 (e12) (e13)))).
% 54.60/54.86 intro zenon_D_pnotp.
% 54.60/54.86 apply zenon_H2d3.
% 54.60/54.86 rewrite <- zenon_D_pnotp.
% 54.60/54.86 exact zenon_H2ba.
% 54.60/54.86 cut (((op1 (e12) (e13)) = (op1 (e12) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H2bb].
% 54.60/54.86 cut (((op1 (e12) (e13)) = (op1 (e12) (op1 (e12) (e12))))); [idtac | apply NNPP; zenon_intro zenon_H2d0].
% 54.60/54.86 congruence.
% 54.60/54.86 apply (zenon_L177_); trivial.
% 54.60/54.86 apply zenon_H2bb. apply refl_equal.
% 54.60/54.86 apply zenon_H2bb. apply refl_equal.
% 54.60/54.86 apply zenon_H203. apply sym_equal. exact zenon_H202.
% 54.60/54.86 apply zenon_H2bb. apply refl_equal.
% 54.60/54.86 apply zenon_H2bb. apply refl_equal.
% 54.60/54.86 (* end of lemma zenon_L178_ *)
% 54.60/54.86 assert (zenon_L179_ : (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (~((op1 (e13) (e13)) = (e12))) -> ((e12) = (op1 (op1 (op1 (e11) (e11)) (op1 (e11) (e11))) (op1 (e11) (e11)))) -> ((e10) = (op1 (e11) (e11))) -> ((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e12) (e12)) = (e11))) -> (~((op1 (e12) (e12)) = (e12))) -> ((op1 (e12) (op1 (e12) (e12))) = (e12)) -> ((op1 (e12) (e11)) = (e12)) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> False).
% 54.60/54.86 do 0 intro. intros zenon_H1da zenon_H185 zenon_H155 zenon_H13 zenon_H15 zenon_H179 zenon_H172 zenon_H21a zenon_H186 zenon_H23f zenon_H1d1 zenon_H2cc zenon_H202 zenon_H2d1.
% 54.60/54.86 apply (zenon_or_s _ _ zenon_H1da); [ zenon_intro zenon_H1e0 | zenon_intro zenon_H1df ].
% 54.60/54.86 apply (zenon_L176_); trivial.
% 54.60/54.86 apply (zenon_or_s _ _ zenon_H1df); [ zenon_intro zenon_H1e2 | zenon_intro zenon_H1e1 ].
% 54.60/54.86 exact (zenon_H23f zenon_H1e2).
% 54.60/54.86 apply (zenon_or_s _ _ zenon_H1e1); [ zenon_intro zenon_H1cb | zenon_intro zenon_H1d3 ].
% 54.60/54.86 exact (zenon_H1d1 zenon_H1cb).
% 54.60/54.86 apply (zenon_L178_); trivial.
% 54.60/54.86 (* end of lemma zenon_L179_ *)
% 54.60/54.86 assert (zenon_L180_ : (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> ((op1 (e13) (e10)) = (e12)) -> ((op1 (e12) (op1 (e12) (e12))) = (e12)) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e12) (e12)) = (e11))) -> (~((op1 (e12) (e12)) = (e12))) -> (~((op1 (e12) (e12)) = (e13))) -> False).
% 54.60/54.86 do 0 intro. intros zenon_H1da zenon_H16b zenon_H2cc zenon_H21a zenon_H23f zenon_H1d1 zenon_H29d.
% 54.60/54.86 apply (zenon_or_s _ _ zenon_H1da); [ zenon_intro zenon_H1e0 | zenon_intro zenon_H1df ].
% 54.60/54.86 apply (zenon_L175_); trivial.
% 54.60/54.86 apply (zenon_or_s _ _ zenon_H1df); [ zenon_intro zenon_H1e2 | zenon_intro zenon_H1e1 ].
% 54.60/54.86 exact (zenon_H23f zenon_H1e2).
% 54.60/54.86 apply (zenon_or_s _ _ zenon_H1e1); [ zenon_intro zenon_H1cb | zenon_intro zenon_H1d3 ].
% 54.60/54.86 exact (zenon_H1d1 zenon_H1cb).
% 54.60/54.86 exact (zenon_H29d zenon_H1d3).
% 54.60/54.86 (* end of lemma zenon_L180_ *)
% 54.60/54.86 assert (zenon_L181_ : (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e12) (e12)) = (e13))) -> (~((op1 (e12) (e12)) = (e12))) -> (~((op1 (e12) (e12)) = (e11))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> ((op1 (e12) (op1 (e12) (e12))) = (e12)) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> ((e12) = (op1 (op1 (op1 (e11) (e11)) (op1 (e11) (e11))) (op1 (e11) (e11)))) -> ((e10) = (op1 (e11) (e11))) -> ((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> False).
% 54.60/54.86 do 0 intro. intros zenon_H186 zenon_H29d zenon_H1d1 zenon_H23f zenon_H21a zenon_H2cc zenon_H1da zenon_H172 zenon_H179 zenon_H155 zenon_H13 zenon_H15 zenon_H180.
% 54.60/54.86 apply (zenon_or_s _ _ zenon_H186); [ zenon_intro zenon_H16b | zenon_intro zenon_H187 ].
% 54.60/54.86 apply (zenon_L180_); trivial.
% 54.60/54.86 apply (zenon_or_s _ _ zenon_H187); [ zenon_intro zenon_H171 | zenon_intro zenon_H188 ].
% 54.60/54.86 apply (zenon_L69_); trivial.
% 54.60/54.86 apply (zenon_or_s _ _ zenon_H188); [ zenon_intro zenon_H178 | zenon_intro zenon_H17f ].
% 54.60/54.86 apply (zenon_L70_); trivial.
% 54.60/54.86 apply (zenon_L71_); trivial.
% 54.60/54.86 (* end of lemma zenon_L181_ *)
% 54.60/54.86 assert (zenon_L182_ : (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (~((op1 (e12) (e12)) = (e10))) -> (~((op1 (e12) (e12)) = (e11))) -> (~((op1 (e12) (e12)) = (e12))) -> ((op1 (e12) (op1 (e12) (e12))) = (e12)) -> ((op1 (e12) (e11)) = (e12)) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> False).
% 54.60/54.86 do 0 intro. intros zenon_H1da zenon_H1db zenon_H23f zenon_H1d1 zenon_H2cc zenon_H202 zenon_H2d1.
% 54.60/54.86 apply (zenon_or_s _ _ zenon_H1da); [ zenon_intro zenon_H1e0 | zenon_intro zenon_H1df ].
% 54.60/54.86 exact (zenon_H1db zenon_H1e0).
% 54.60/54.86 apply (zenon_or_s _ _ zenon_H1df); [ zenon_intro zenon_H1e2 | zenon_intro zenon_H1e1 ].
% 54.60/54.86 exact (zenon_H23f zenon_H1e2).
% 54.60/54.86 apply (zenon_or_s _ _ zenon_H1e1); [ zenon_intro zenon_H1cb | zenon_intro zenon_H1d3 ].
% 54.60/54.86 exact (zenon_H1d1 zenon_H1cb).
% 54.60/54.86 apply (zenon_L178_); trivial.
% 54.60/54.86 (* end of lemma zenon_L182_ *)
% 54.60/54.86 assert (zenon_L183_ : (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (~((op1 (e12) (e12)) = (e10))) -> (~((op1 (e12) (e12)) = (e11))) -> (~((op1 (e12) (e12)) = (e12))) -> (~((op1 (e12) (e12)) = (e13))) -> False).
% 54.60/54.86 do 0 intro. intros zenon_H1da zenon_H1db zenon_H23f zenon_H1d1 zenon_H29d.
% 54.60/54.86 apply (zenon_or_s _ _ zenon_H1da); [ zenon_intro zenon_H1e0 | zenon_intro zenon_H1df ].
% 54.60/54.86 exact (zenon_H1db zenon_H1e0).
% 54.60/54.86 apply (zenon_or_s _ _ zenon_H1df); [ zenon_intro zenon_H1e2 | zenon_intro zenon_H1e1 ].
% 54.60/54.86 exact (zenon_H23f zenon_H1e2).
% 54.60/54.86 apply (zenon_or_s _ _ zenon_H1e1); [ zenon_intro zenon_H1cb | zenon_intro zenon_H1d3 ].
% 54.60/54.86 exact (zenon_H1d1 zenon_H1cb).
% 54.60/54.86 exact (zenon_H29d zenon_H1d3).
% 54.60/54.86 (* end of lemma zenon_L183_ *)
% 54.60/54.86 assert (zenon_L184_ : ((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12)))) -> (~((op1 (e12) (e12)) = (e10))) -> (~((op1 (e12) (e12)) = (e11))) -> (~((op1 (e12) (e12)) = (e13))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> False).
% 54.60/54.86 do 0 intro. intros zenon_H224 zenon_H1db zenon_H23f zenon_H29d zenon_H1da.
% 54.60/54.86 apply (zenon_or_s _ _ zenon_H224); [ zenon_intro zenon_H1d1 | zenon_intro zenon_H1d1 ].
% 54.60/54.86 apply (zenon_L183_); trivial.
% 54.60/54.86 apply (zenon_L183_); trivial.
% 54.60/54.86 (* end of lemma zenon_L184_ *)
% 54.60/54.86 assert (zenon_L185_ : (((op1 (e10) (e12)) = (e10))/\(((op1 (e12) (e10)) = (e10))/\(((~((op1 (e12) (e10)) = (e12)))\/(~((op1 (e12) (e12)) = (e10))))/\(((~((op1 (e12) (e11)) = (e12)))\/(~((op1 (e12) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13))))))))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e12) (op1 (e12) (e13))) = (e13)) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> ((e12) = (op1 (op1 (op1 (e11) (e11)) (op1 (e11) (e11))) (op1 (e11) (e11)))) -> ((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) -> ((e10) = (op1 (e11) (e11))) -> (~((op1 (e12) (e12)) = (e12))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> ((op1 (e12) (op1 (e12) (e12))) = (e12)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e13)) = (e12))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> False).
% 54.60/54.86 do 0 intro. intros zenon_H197 zenon_H2c9 zenon_H1d8 zenon_H2c7 zenon_H1cc zenon_H1e zenon_H21a zenon_H155 zenon_H15 zenon_H13 zenon_H1d1 zenon_H23b zenon_H180 zenon_H1da zenon_H2d1 zenon_H2cc zenon_H172 zenon_H179 zenon_H185 zenon_H186.
% 54.60/54.86 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_H18f. zenon_intro zenon_H198.
% 54.60/54.86 apply (zenon_and_s _ _ zenon_H198). zenon_intro zenon_H293. zenon_intro zenon_H227.
% 54.60/54.86 apply (zenon_and_s _ _ zenon_H227). zenon_intro zenon_H229. zenon_intro zenon_H228.
% 54.60/54.86 apply (zenon_and_s _ _ zenon_H228). zenon_intro zenon_H22b. zenon_intro zenon_H22a.
% 54.60/54.86 apply (zenon_and_s _ _ zenon_H22a). zenon_intro zenon_H224. zenon_intro zenon_H22c.
% 54.60/54.86 apply (zenon_or_s _ _ zenon_H229); [ zenon_intro zenon_H21f | zenon_intro zenon_H1db ].
% 54.60/54.86 apply (zenon_or_s _ _ zenon_H22b); [ zenon_intro zenon_H23c | zenon_intro zenon_H23f ].
% 54.60/54.86 apply (zenon_L174_); trivial.
% 54.60/54.86 apply (zenon_or_s _ _ zenon_H22c); [ zenon_intro zenon_H27d | zenon_intro zenon_H29d ].
% 54.60/54.86 apply (zenon_or_s _ _ zenon_H23b); [ zenon_intro zenon_H21b | zenon_intro zenon_H23d ].
% 54.60/54.86 exact (zenon_H21f zenon_H21b).
% 54.60/54.86 apply (zenon_or_s _ _ zenon_H23d); [ zenon_intro zenon_H202 | zenon_intro zenon_H23e ].
% 54.60/54.86 apply (zenon_L179_); trivial.
% 54.60/54.86 apply (zenon_or_s _ _ zenon_H23e); [ zenon_intro zenon_H1cb | zenon_intro zenon_H22f ].
% 54.60/54.86 exact (zenon_H1d1 zenon_H1cb).
% 54.60/54.86 exact (zenon_H27d zenon_H22f).
% 54.60/54.86 apply (zenon_L181_); trivial.
% 54.60/54.86 apply (zenon_or_s _ _ zenon_H22b); [ zenon_intro zenon_H23c | zenon_intro zenon_H23f ].
% 54.60/54.86 apply (zenon_L174_); trivial.
% 54.60/54.86 apply (zenon_or_s _ _ zenon_H22c); [ zenon_intro zenon_H27d | zenon_intro zenon_H29d ].
% 54.60/54.86 apply (zenon_or_s _ _ zenon_H23b); [ zenon_intro zenon_H21b | zenon_intro zenon_H23d ].
% 54.60/54.86 apply (zenon_L109_); trivial.
% 54.60/54.86 apply (zenon_or_s _ _ zenon_H23d); [ zenon_intro zenon_H202 | zenon_intro zenon_H23e ].
% 54.60/54.86 apply (zenon_L182_); trivial.
% 54.60/54.86 apply (zenon_or_s _ _ zenon_H23e); [ zenon_intro zenon_H1cb | zenon_intro zenon_H22f ].
% 54.60/54.86 exact (zenon_H1d1 zenon_H1cb).
% 54.60/54.86 exact (zenon_H27d zenon_H22f).
% 54.60/54.86 apply (zenon_L184_); trivial.
% 54.60/54.86 (* end of lemma zenon_L185_ *)
% 54.60/54.86 assert (zenon_L186_ : (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> ((op1 (e12) (op1 (e12) (e10))) = (e10)) -> ((op1 (e12) (e10)) = (e10)) -> ((op1 (e13) (e10)) = (e10)) -> False).
% 54.60/54.86 do 0 intro. intros zenon_H21a zenon_H2d4 zenon_H293 zenon_H16a.
% 54.60/54.86 cut (((op1 (e12) (op1 (e12) (e10))) = (e10)) = ((op1 (e12) (e10)) = (op1 (e13) (e10)))).
% 54.60/54.86 intro zenon_D_pnotp.
% 54.60/54.86 apply zenon_H21a.
% 54.60/54.86 rewrite <- zenon_D_pnotp.
% 54.60/54.86 exact zenon_H2d4.
% 54.60/54.86 cut (((e10) = (op1 (e13) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H2d5].
% 54.60/54.86 cut (((op1 (e12) (op1 (e12) (e10))) = (op1 (e12) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H2d6].
% 54.60/54.86 congruence.
% 54.60/54.86 elim (classic ((op1 (e12) (e10)) = (op1 (e12) (e10)))); [ zenon_intro zenon_H21d | zenon_intro zenon_H21e ].
% 54.60/54.86 cut (((op1 (e12) (e10)) = (op1 (e12) (e10))) = ((op1 (e12) (op1 (e12) (e10))) = (op1 (e12) (e10)))).
% 54.60/54.86 intro zenon_D_pnotp.
% 54.60/54.86 apply zenon_H2d6.
% 54.60/54.86 rewrite <- zenon_D_pnotp.
% 54.60/54.86 exact zenon_H21d.
% 54.60/54.86 cut (((op1 (e12) (e10)) = (op1 (e12) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H21e].
% 54.60/54.86 cut (((op1 (e12) (e10)) = (op1 (e12) (op1 (e12) (e10))))); [idtac | apply NNPP; zenon_intro zenon_H2d7].
% 54.60/54.86 congruence.
% 54.60/54.86 cut (((e10) = (op1 (e12) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H294].
% 54.60/54.86 cut (((e12) = (e12))); [idtac | apply NNPP; zenon_intro zenon_H16e].
% 54.60/54.86 congruence.
% 54.60/54.86 apply zenon_H16e. apply refl_equal.
% 54.60/54.86 apply zenon_H294. apply sym_equal. exact zenon_H293.
% 54.60/54.86 apply zenon_H21e. apply refl_equal.
% 54.60/54.86 apply zenon_H21e. apply refl_equal.
% 54.60/54.86 apply zenon_H2d5. apply sym_equal. exact zenon_H16a.
% 54.60/54.86 (* end of lemma zenon_L186_ *)
% 54.60/54.86 assert (zenon_L187_ : ((e10) = (op1 (e11) (e11))) -> ((op1 (e12) (e11)) = (e10)) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> False).
% 54.60/54.86 do 0 intro. intros zenon_H13 zenon_H2d8 zenon_H2d9.
% 54.60/54.86 elim (classic ((op1 (e12) (e11)) = (op1 (e12) (e11)))); [ zenon_intro zenon_H2da | zenon_intro zenon_H2db ].
% 54.60/54.86 cut (((op1 (e12) (e11)) = (op1 (e12) (e11))) = ((op1 (e11) (e11)) = (op1 (e12) (e11)))).
% 54.60/54.86 intro zenon_D_pnotp.
% 54.60/54.86 apply zenon_H2d9.
% 54.60/54.86 rewrite <- zenon_D_pnotp.
% 54.60/54.86 exact zenon_H2da.
% 54.60/54.86 cut (((op1 (e12) (e11)) = (op1 (e12) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H2db].
% 54.60/54.86 cut (((op1 (e12) (e11)) = (op1 (e11) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H2dc].
% 54.60/54.86 congruence.
% 54.60/54.86 cut (((e10) = (op1 (e11) (e11))) = ((op1 (e12) (e11)) = (op1 (e11) (e11)))).
% 54.60/54.86 intro zenon_D_pnotp.
% 54.60/54.86 apply zenon_H2dc.
% 54.60/54.86 rewrite <- zenon_D_pnotp.
% 54.60/54.86 exact zenon_H13.
% 54.60/54.86 cut (((op1 (e11) (e11)) = (op1 (e11) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H14d].
% 54.60/54.86 cut (((e10) = (op1 (e12) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H2dd].
% 54.60/54.86 congruence.
% 54.60/54.86 elim (classic ((op1 (e12) (e11)) = (op1 (e12) (e11)))); [ zenon_intro zenon_H2da | zenon_intro zenon_H2db ].
% 54.60/54.86 cut (((op1 (e12) (e11)) = (op1 (e12) (e11))) = ((e10) = (op1 (e12) (e11)))).
% 54.60/54.86 intro zenon_D_pnotp.
% 54.60/54.86 apply zenon_H2dd.
% 54.60/54.86 rewrite <- zenon_D_pnotp.
% 54.60/54.86 exact zenon_H2da.
% 54.60/54.86 cut (((op1 (e12) (e11)) = (op1 (e12) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H2db].
% 54.60/54.86 cut (((op1 (e12) (e11)) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H2de].
% 54.60/54.86 congruence.
% 54.60/54.86 exact (zenon_H2de zenon_H2d8).
% 54.60/54.86 apply zenon_H2db. apply refl_equal.
% 54.60/54.86 apply zenon_H2db. apply refl_equal.
% 54.60/54.86 apply zenon_H14d. apply refl_equal.
% 54.60/54.86 apply zenon_H2db. apply refl_equal.
% 54.60/54.86 apply zenon_H2db. apply refl_equal.
% 54.60/54.86 (* end of lemma zenon_L187_ *)
% 54.60/54.86 assert (zenon_L188_ : (~((op1 (e12) (e10)) = (op1 (e12) (op1 (e12) (e13))))) -> ((op1 (e12) (e13)) = (e10)) -> False).
% 54.60/54.86 do 0 intro. intros zenon_H2df zenon_H2e0.
% 54.60/54.86 cut (((e10) = (op1 (e12) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H2e1].
% 54.60/54.86 cut (((e12) = (e12))); [idtac | apply NNPP; zenon_intro zenon_H16e].
% 54.60/54.86 congruence.
% 54.60/54.86 apply zenon_H16e. apply refl_equal.
% 54.60/54.86 apply zenon_H2e1. apply sym_equal. exact zenon_H2e0.
% 54.60/54.86 (* end of lemma zenon_L188_ *)
% 54.60/54.86 assert (zenon_L189_ : (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> ((op1 (e12) (op1 (e12) (e13))) = (e13)) -> ((op1 (e12) (e13)) = (e10)) -> ((op1 (e12) (e11)) = (e13)) -> False).
% 54.60/54.86 do 0 intro. intros zenon_H2e2 zenon_H2c7 zenon_H2e0 zenon_H2e3.
% 54.60/54.86 cut (((op1 (e12) (op1 (e12) (e13))) = (e13)) = ((op1 (e12) (e10)) = (op1 (e12) (e11)))).
% 54.60/54.86 intro zenon_D_pnotp.
% 54.60/54.86 apply zenon_H2e2.
% 54.60/54.86 rewrite <- zenon_D_pnotp.
% 54.60/54.86 exact zenon_H2c7.
% 54.60/54.86 cut (((e13) = (op1 (e12) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H2e4].
% 54.60/54.86 cut (((op1 (e12) (op1 (e12) (e13))) = (op1 (e12) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H2e5].
% 54.60/54.86 congruence.
% 54.60/54.86 elim (classic ((op1 (e12) (e10)) = (op1 (e12) (e10)))); [ zenon_intro zenon_H21d | zenon_intro zenon_H21e ].
% 54.60/54.86 cut (((op1 (e12) (e10)) = (op1 (e12) (e10))) = ((op1 (e12) (op1 (e12) (e13))) = (op1 (e12) (e10)))).
% 54.60/54.86 intro zenon_D_pnotp.
% 54.60/54.86 apply zenon_H2e5.
% 54.60/54.86 rewrite <- zenon_D_pnotp.
% 54.60/54.86 exact zenon_H21d.
% 54.60/54.86 cut (((op1 (e12) (e10)) = (op1 (e12) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H21e].
% 54.60/54.86 cut (((op1 (e12) (e10)) = (op1 (e12) (op1 (e12) (e13))))); [idtac | apply NNPP; zenon_intro zenon_H2df].
% 54.60/54.86 congruence.
% 54.60/54.86 apply (zenon_L188_); trivial.
% 54.60/54.86 apply zenon_H21e. apply refl_equal.
% 54.60/54.86 apply zenon_H21e. apply refl_equal.
% 54.60/54.86 apply zenon_H2e4. apply sym_equal. exact zenon_H2e3.
% 54.60/54.86 (* end of lemma zenon_L189_ *)
% 54.60/54.86 assert (zenon_L190_ : (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> ((op1 (e12) (op1 (e12) (e13))) = (e13)) -> ((op1 (e12) (e13)) = (e10)) -> ((op1 (e12) (e12)) = (e13)) -> False).
% 54.60/54.86 do 0 intro. intros zenon_H2a3 zenon_H2c7 zenon_H2e0 zenon_H1d3.
% 54.60/54.86 cut (((op1 (e12) (op1 (e12) (e13))) = (e13)) = ((op1 (e12) (e10)) = (op1 (e12) (e12)))).
% 54.60/54.86 intro zenon_D_pnotp.
% 54.60/54.86 apply zenon_H2a3.
% 54.60/54.86 rewrite <- zenon_D_pnotp.
% 54.60/54.86 exact zenon_H2c7.
% 54.60/54.86 cut (((e13) = (op1 (e12) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H1d4].
% 54.60/54.86 cut (((op1 (e12) (op1 (e12) (e13))) = (op1 (e12) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H2e5].
% 54.60/54.86 congruence.
% 54.60/54.86 elim (classic ((op1 (e12) (e10)) = (op1 (e12) (e10)))); [ zenon_intro zenon_H21d | zenon_intro zenon_H21e ].
% 54.60/54.86 cut (((op1 (e12) (e10)) = (op1 (e12) (e10))) = ((op1 (e12) (op1 (e12) (e13))) = (op1 (e12) (e10)))).
% 54.60/54.86 intro zenon_D_pnotp.
% 54.60/54.86 apply zenon_H2e5.
% 54.60/54.86 rewrite <- zenon_D_pnotp.
% 54.60/54.86 exact zenon_H21d.
% 54.60/54.86 cut (((op1 (e12) (e10)) = (op1 (e12) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H21e].
% 54.60/54.86 cut (((op1 (e12) (e10)) = (op1 (e12) (op1 (e12) (e13))))); [idtac | apply NNPP; zenon_intro zenon_H2df].
% 54.60/54.86 congruence.
% 54.60/54.86 apply (zenon_L188_); trivial.
% 54.60/54.86 apply zenon_H21e. apply refl_equal.
% 54.60/54.86 apply zenon_H21e. apply refl_equal.
% 54.60/54.86 apply zenon_H1d4. apply sym_equal. exact zenon_H1d3.
% 54.60/54.86 (* end of lemma zenon_L190_ *)
% 54.60/54.86 assert (zenon_L191_ : (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> ((op1 (e12) (op1 (e12) (e13))) = (e13)) -> ((op1 (e12) (e13)) = (e10)) -> ((op1 (e12) (e13)) = (e13)) -> False).
% 54.60/54.86 do 0 intro. intros zenon_H2e6 zenon_H2c7 zenon_H2e0 zenon_H235.
% 54.60/54.86 cut (((op1 (e12) (op1 (e12) (e13))) = (e13)) = ((op1 (e12) (e10)) = (op1 (e12) (e13)))).
% 54.60/54.86 intro zenon_D_pnotp.
% 54.60/54.86 apply zenon_H2e6.
% 54.60/54.86 rewrite <- zenon_D_pnotp.
% 54.60/54.86 exact zenon_H2c7.
% 54.60/54.86 cut (((e13) = (op1 (e12) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H2bd].
% 54.60/54.86 cut (((op1 (e12) (op1 (e12) (e13))) = (op1 (e12) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H2e5].
% 54.60/54.86 congruence.
% 54.60/54.86 elim (classic ((op1 (e12) (e10)) = (op1 (e12) (e10)))); [ zenon_intro zenon_H21d | zenon_intro zenon_H21e ].
% 54.60/54.86 cut (((op1 (e12) (e10)) = (op1 (e12) (e10))) = ((op1 (e12) (op1 (e12) (e13))) = (op1 (e12) (e10)))).
% 54.60/54.86 intro zenon_D_pnotp.
% 54.60/54.86 apply zenon_H2e5.
% 54.60/54.86 rewrite <- zenon_D_pnotp.
% 54.60/54.86 exact zenon_H21d.
% 54.60/54.86 cut (((op1 (e12) (e10)) = (op1 (e12) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H21e].
% 54.60/54.86 cut (((op1 (e12) (e10)) = (op1 (e12) (op1 (e12) (e13))))); [idtac | apply NNPP; zenon_intro zenon_H2df].
% 54.60/54.86 congruence.
% 54.60/54.86 apply (zenon_L188_); trivial.
% 54.60/54.86 apply zenon_H21e. apply refl_equal.
% 54.60/54.86 apply zenon_H21e. apply refl_equal.
% 54.60/54.86 apply zenon_H2bd. apply sym_equal. exact zenon_H235.
% 54.60/54.86 (* end of lemma zenon_L191_ *)
% 54.60/54.86 assert (zenon_L192_ : (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> ((e10) = (op1 (e11) (e11))) -> ((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> ((op1 (e12) (op1 (e12) (e13))) = (e13)) -> ((op1 (e12) (e13)) = (e10)) -> False).
% 54.60/54.86 do 0 intro. intros zenon_H2e7 zenon_H2ad zenon_H13 zenon_H15 zenon_H2e2 zenon_H2a3 zenon_H2e6 zenon_H2c7 zenon_H2e0.
% 54.60/54.86 apply (zenon_or_s _ _ zenon_H2e7); [ zenon_intro zenon_H2ac | zenon_intro zenon_H2e8 ].
% 54.60/54.86 apply (zenon_L154_); trivial.
% 54.60/54.86 apply (zenon_or_s _ _ zenon_H2e8); [ zenon_intro zenon_H2e3 | zenon_intro zenon_H2e9 ].
% 54.60/54.86 apply (zenon_L189_); trivial.
% 54.60/54.86 apply (zenon_or_s _ _ zenon_H2e9); [ zenon_intro zenon_H1d3 | zenon_intro zenon_H235 ].
% 54.60/54.86 apply (zenon_L190_); trivial.
% 54.60/54.86 apply (zenon_L191_); trivial.
% 54.60/54.86 (* end of lemma zenon_L192_ *)
% 54.60/54.86 assert (zenon_L193_ : (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e12) (e13)) = (e10))))) -> ((op1 (e13) (e10)) = (e10)) -> ((op1 (e12) (op1 (e12) (e10))) = (e10)) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e13) (e13)) = (e12))) -> ((e12) = (op1 (op1 (op1 (e11) (e11)) (op1 (e11) (e11))) (op1 (e11) (e11)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> ((op1 (e12) (op1 (e12) (e12))) = (e12)) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> ((e10) = (op1 (e11) (e11))) -> ((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> ((op1 (e12) (op1 (e12) (e13))) = (e13)) -> False).
% 54.60/54.86 do 0 intro. intros zenon_H2ea zenon_H16a zenon_H2d4 zenon_H2d9 zenon_H185 zenon_H155 zenon_H179 zenon_H172 zenon_H21a zenon_H2cc zenon_H186 zenon_H2e7 zenon_H2ad zenon_H13 zenon_H15 zenon_H2e2 zenon_H2a3 zenon_H2e6 zenon_H2c7.
% 54.60/54.86 apply (zenon_or_s _ _ zenon_H2ea); [ zenon_intro zenon_H293 | zenon_intro zenon_H2eb ].
% 54.60/54.86 apply (zenon_L186_); trivial.
% 54.60/54.86 apply (zenon_or_s _ _ zenon_H2eb); [ zenon_intro zenon_H2d8 | zenon_intro zenon_H2ec ].
% 54.60/54.86 apply (zenon_L187_); trivial.
% 54.60/54.86 apply (zenon_or_s _ _ zenon_H2ec); [ zenon_intro zenon_H1e0 | zenon_intro zenon_H2e0 ].
% 54.60/54.86 apply (zenon_L176_); trivial.
% 54.60/54.86 apply (zenon_L192_); trivial.
% 54.60/54.86 (* end of lemma zenon_L193_ *)
% 54.60/54.86 assert (zenon_L194_ : (((op1 (e10) (e13)) = (e10))/\(((op1 (e13) (e10)) = (e10))/\(((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e13) (e13)) = (e10))))/\(((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11))))/\(((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e13) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13))))))))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e12) (e13)) = (e10))))) -> ((op1 (e12) (op1 (e12) (e10))) = (e10)) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e13) (e13)) = (e12))) -> ((e12) = (op1 (op1 (op1 (e11) (e11)) (op1 (e11) (e11))) (op1 (e11) (e11)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> ((op1 (e12) (op1 (e12) (e12))) = (e12)) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> ((e10) = (op1 (e11) (e11))) -> ((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> ((op1 (e12) (op1 (e12) (e13))) = (e13)) -> False).
% 54.60/54.86 do 0 intro. intros zenon_H199 zenon_H2ea zenon_H2d4 zenon_H2d9 zenon_H185 zenon_H155 zenon_H179 zenon_H172 zenon_H21a zenon_H2cc zenon_H186 zenon_H2e7 zenon_H2ad zenon_H13 zenon_H15 zenon_H2e2 zenon_H2a3 zenon_H2e6 zenon_H2c7.
% 54.60/54.86 apply (zenon_and_s _ _ zenon_H199). zenon_intro zenon_H19b. zenon_intro zenon_H19a.
% 54.60/54.86 apply (zenon_and_s _ _ zenon_H19a). zenon_intro zenon_H16a. zenon_intro zenon_H19c.
% 54.60/54.86 apply (zenon_L193_); trivial.
% 54.60/54.86 (* end of lemma zenon_L194_ *)
% 54.60/54.86 assert (zenon_L195_ : (~((op1 (e12) (e13)) = (op1 (e12) (op1 (e12) (e11))))) -> ((op1 (e12) (e11)) = (e13)) -> False).
% 54.60/54.86 do 0 intro. intros zenon_H2ed zenon_H2e3.
% 54.60/54.86 cut (((e13) = (op1 (e12) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H2e4].
% 54.60/54.86 cut (((e12) = (e12))); [idtac | apply NNPP; zenon_intro zenon_H16e].
% 54.60/54.86 congruence.
% 54.60/54.86 apply zenon_H16e. apply refl_equal.
% 54.60/54.86 apply zenon_H2e4. apply sym_equal. exact zenon_H2e3.
% 54.60/54.86 (* end of lemma zenon_L195_ *)
% 54.60/54.86 assert (zenon_L196_ : ((op1 (e12) (op1 (e12) (e11))) = (e11)) -> ((op1 (e12) (e11)) = (e13)) -> ((op1 (e10) (e13)) = (e11)) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> False).
% 54.60/54.86 do 0 intro. intros zenon_H2ee zenon_H2e3 zenon_H2ef zenon_H2b9.
% 54.60/54.86 elim (classic ((op1 (e12) (e13)) = (op1 (e12) (e13)))); [ zenon_intro zenon_H2ba | zenon_intro zenon_H2bb ].
% 54.60/54.86 cut (((op1 (e12) (e13)) = (op1 (e12) (e13))) = ((op1 (e10) (e13)) = (op1 (e12) (e13)))).
% 54.60/54.86 intro zenon_D_pnotp.
% 54.60/54.86 apply zenon_H2b9.
% 54.60/54.86 rewrite <- zenon_D_pnotp.
% 54.60/54.86 exact zenon_H2ba.
% 54.60/54.86 cut (((op1 (e12) (e13)) = (op1 (e12) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H2bb].
% 54.60/54.86 cut (((op1 (e12) (e13)) = (op1 (e10) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H2bc].
% 54.60/54.86 congruence.
% 54.60/54.86 cut (((op1 (e12) (op1 (e12) (e11))) = (e11)) = ((op1 (e12) (e13)) = (op1 (e10) (e13)))).
% 54.60/54.86 intro zenon_D_pnotp.
% 54.60/54.86 apply zenon_H2bc.
% 54.60/54.86 rewrite <- zenon_D_pnotp.
% 54.60/54.86 exact zenon_H2ee.
% 54.60/54.86 cut (((e11) = (op1 (e10) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H2f0].
% 54.60/54.86 cut (((op1 (e12) (op1 (e12) (e11))) = (op1 (e12) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H2f1].
% 54.60/54.86 congruence.
% 54.60/54.86 elim (classic ((op1 (e12) (e13)) = (op1 (e12) (e13)))); [ zenon_intro zenon_H2ba | zenon_intro zenon_H2bb ].
% 54.60/54.86 cut (((op1 (e12) (e13)) = (op1 (e12) (e13))) = ((op1 (e12) (op1 (e12) (e11))) = (op1 (e12) (e13)))).
% 54.60/54.86 intro zenon_D_pnotp.
% 54.60/54.86 apply zenon_H2f1.
% 54.60/54.86 rewrite <- zenon_D_pnotp.
% 54.60/54.86 exact zenon_H2ba.
% 54.60/54.86 cut (((op1 (e12) (e13)) = (op1 (e12) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H2bb].
% 54.60/54.86 cut (((op1 (e12) (e13)) = (op1 (e12) (op1 (e12) (e11))))); [idtac | apply NNPP; zenon_intro zenon_H2ed].
% 54.60/54.86 congruence.
% 54.60/54.86 apply (zenon_L195_); trivial.
% 54.60/54.86 apply zenon_H2bb. apply refl_equal.
% 54.60/54.86 apply zenon_H2bb. apply refl_equal.
% 54.60/54.86 apply zenon_H2f0. apply sym_equal. exact zenon_H2ef.
% 54.60/54.86 apply zenon_H2bb. apply refl_equal.
% 54.60/54.86 apply zenon_H2bb. apply refl_equal.
% 54.60/54.86 (* end of lemma zenon_L196_ *)
% 54.60/54.86 assert (zenon_L197_ : ((op1 (e12) (op1 (e12) (e11))) = (e11)) -> ((op1 (e12) (e11)) = (e13)) -> ((op1 (e11) (e13)) = (e11)) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> False).
% 54.60/54.86 do 0 intro. intros zenon_H2ee zenon_H2e3 zenon_H214 zenon_H2c0.
% 54.60/54.86 elim (classic ((op1 (e12) (e13)) = (op1 (e12) (e13)))); [ zenon_intro zenon_H2ba | zenon_intro zenon_H2bb ].
% 54.60/54.86 cut (((op1 (e12) (e13)) = (op1 (e12) (e13))) = ((op1 (e11) (e13)) = (op1 (e12) (e13)))).
% 54.60/54.86 intro zenon_D_pnotp.
% 54.60/54.86 apply zenon_H2c0.
% 54.60/54.86 rewrite <- zenon_D_pnotp.
% 54.60/54.86 exact zenon_H2ba.
% 54.60/54.86 cut (((op1 (e12) (e13)) = (op1 (e12) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H2bb].
% 54.60/54.86 cut (((op1 (e12) (e13)) = (op1 (e11) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H2f2].
% 54.60/54.86 congruence.
% 54.60/54.86 cut (((op1 (e12) (op1 (e12) (e11))) = (e11)) = ((op1 (e12) (e13)) = (op1 (e11) (e13)))).
% 54.60/54.86 intro zenon_D_pnotp.
% 54.60/54.86 apply zenon_H2f2.
% 54.60/54.86 rewrite <- zenon_D_pnotp.
% 54.60/54.86 exact zenon_H2ee.
% 54.60/54.86 cut (((e11) = (op1 (e11) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H2a2].
% 54.60/54.86 cut (((op1 (e12) (op1 (e12) (e11))) = (op1 (e12) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H2f1].
% 54.60/54.86 congruence.
% 54.60/54.86 elim (classic ((op1 (e12) (e13)) = (op1 (e12) (e13)))); [ zenon_intro zenon_H2ba | zenon_intro zenon_H2bb ].
% 54.60/54.86 cut (((op1 (e12) (e13)) = (op1 (e12) (e13))) = ((op1 (e12) (op1 (e12) (e11))) = (op1 (e12) (e13)))).
% 54.60/54.86 intro zenon_D_pnotp.
% 54.60/54.86 apply zenon_H2f1.
% 54.60/54.86 rewrite <- zenon_D_pnotp.
% 54.60/54.86 exact zenon_H2ba.
% 54.60/54.86 cut (((op1 (e12) (e13)) = (op1 (e12) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H2bb].
% 54.60/54.86 cut (((op1 (e12) (e13)) = (op1 (e12) (op1 (e12) (e11))))); [idtac | apply NNPP; zenon_intro zenon_H2ed].
% 54.60/54.86 congruence.
% 54.60/54.86 apply (zenon_L195_); trivial.
% 54.60/54.86 apply zenon_H2bb. apply refl_equal.
% 54.60/54.86 apply zenon_H2bb. apply refl_equal.
% 54.60/54.86 apply zenon_H2a2. apply sym_equal. exact zenon_H214.
% 54.60/54.86 apply zenon_H2bb. apply refl_equal.
% 54.60/54.86 apply zenon_H2bb. apply refl_equal.
% 54.60/54.86 (* end of lemma zenon_L197_ *)
% 54.60/54.86 assert (zenon_L198_ : (~((op1 (e12) (e11)) = (op1 (e12) (op1 (e12) (e13))))) -> ((op1 (e12) (e13)) = (e11)) -> False).
% 54.60/54.86 do 0 intro. intros zenon_H2f3 zenon_H2f4.
% 54.60/54.86 cut (((e11) = (op1 (e12) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H2f5].
% 54.60/54.86 cut (((e12) = (e12))); [idtac | apply NNPP; zenon_intro zenon_H16e].
% 54.60/54.86 congruence.
% 54.60/54.86 apply zenon_H16e. apply refl_equal.
% 54.60/54.86 apply zenon_H2f5. apply sym_equal. exact zenon_H2f4.
% 54.60/54.86 (* end of lemma zenon_L198_ *)
% 54.60/54.86 assert (zenon_L199_ : (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> ((op1 (e12) (op1 (e12) (e13))) = (e13)) -> ((op1 (e12) (e13)) = (e11)) -> ((op1 (e13) (e11)) = (e13)) -> False).
% 54.60/54.86 do 0 intro. intros zenon_H2f6 zenon_H2c7 zenon_H2f4 zenon_H1c3.
% 54.60/54.86 cut (((op1 (e12) (op1 (e12) (e13))) = (e13)) = ((op1 (e12) (e11)) = (op1 (e13) (e11)))).
% 54.60/54.86 intro zenon_D_pnotp.
% 54.60/54.86 apply zenon_H2f6.
% 54.60/54.86 rewrite <- zenon_D_pnotp.
% 54.60/54.86 exact zenon_H2c7.
% 54.60/54.86 cut (((e13) = (op1 (e13) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H29f].
% 54.60/54.86 cut (((op1 (e12) (op1 (e12) (e13))) = (op1 (e12) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H2f7].
% 54.60/54.86 congruence.
% 54.60/54.86 elim (classic ((op1 (e12) (e11)) = (op1 (e12) (e11)))); [ zenon_intro zenon_H2da | zenon_intro zenon_H2db ].
% 54.60/54.86 cut (((op1 (e12) (e11)) = (op1 (e12) (e11))) = ((op1 (e12) (op1 (e12) (e13))) = (op1 (e12) (e11)))).
% 54.60/54.86 intro zenon_D_pnotp.
% 54.60/54.86 apply zenon_H2f7.
% 54.60/54.86 rewrite <- zenon_D_pnotp.
% 54.60/54.86 exact zenon_H2da.
% 54.60/54.86 cut (((op1 (e12) (e11)) = (op1 (e12) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H2db].
% 54.60/54.86 cut (((op1 (e12) (e11)) = (op1 (e12) (op1 (e12) (e13))))); [idtac | apply NNPP; zenon_intro zenon_H2f3].
% 54.60/54.86 congruence.
% 54.60/54.86 apply (zenon_L198_); trivial.
% 54.60/54.86 apply zenon_H2db. apply refl_equal.
% 54.60/54.86 apply zenon_H2db. apply refl_equal.
% 54.60/54.86 apply zenon_H29f. apply sym_equal. exact zenon_H1c3.
% 54.60/54.86 (* end of lemma zenon_L199_ *)
% 54.60/54.86 assert (zenon_L200_ : (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> ((op1 (e10) (e11)) = (e11)) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> ((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) -> ((e10) = (op1 (e11) (e11))) -> ((e12) = (op1 (op1 (op1 (e11) (e11)) (op1 (e11) (e11))) (op1 (e11) (e11)))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> ((op1 (e12) (op1 (e12) (e13))) = (e13)) -> ((op1 (e12) (e13)) = (e11)) -> False).
% 54.60/54.86 do 0 intro. intros zenon_H2f8 zenon_H18a zenon_H1fe zenon_H1fd zenon_H172 zenon_H15 zenon_H13 zenon_H155 zenon_H2f6 zenon_H2c7 zenon_H2f4.
% 54.60/54.86 apply (zenon_or_s _ _ zenon_H2f8); [ zenon_intro zenon_H189 | zenon_intro zenon_H2f9 ].
% 54.60/54.86 apply (zenon_L73_); trivial.
% 54.60/54.86 apply (zenon_or_s _ _ zenon_H2f9); [ zenon_intro zenon_H1ff | zenon_intro zenon_H2fa ].
% 54.60/54.86 apply (zenon_L100_); trivial.
% 54.60/54.86 apply (zenon_or_s _ _ zenon_H2fa); [ zenon_intro zenon_H171 | zenon_intro zenon_H1c3 ].
% 54.60/54.86 apply (zenon_L69_); trivial.
% 54.60/54.86 apply (zenon_L199_); trivial.
% 54.60/54.86 (* end of lemma zenon_L200_ *)
% 54.60/54.86 assert (zenon_L201_ : (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e12) (op1 (e12) (e11))) = (e11)) -> ((op1 (e12) (e11)) = (e13)) -> ((op1 (e13) (e13)) = (e11)) -> False).
% 54.60/54.86 do 0 intro. intros zenon_H2fb zenon_H2ee zenon_H2e3 zenon_H210.
% 54.60/54.86 cut (((op1 (e12) (op1 (e12) (e11))) = (e11)) = ((op1 (e12) (e13)) = (op1 (e13) (e13)))).
% 54.60/54.86 intro zenon_D_pnotp.
% 54.60/54.86 apply zenon_H2fb.
% 54.60/54.86 rewrite <- zenon_D_pnotp.
% 54.60/54.86 exact zenon_H2ee.
% 54.60/54.86 cut (((e11) = (op1 (e13) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H2fc].
% 54.60/54.86 cut (((op1 (e12) (op1 (e12) (e11))) = (op1 (e12) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H2f1].
% 54.60/54.86 congruence.
% 54.60/54.86 elim (classic ((op1 (e12) (e13)) = (op1 (e12) (e13)))); [ zenon_intro zenon_H2ba | zenon_intro zenon_H2bb ].
% 54.60/54.86 cut (((op1 (e12) (e13)) = (op1 (e12) (e13))) = ((op1 (e12) (op1 (e12) (e11))) = (op1 (e12) (e13)))).
% 54.60/54.86 intro zenon_D_pnotp.
% 54.60/54.86 apply zenon_H2f1.
% 54.60/54.86 rewrite <- zenon_D_pnotp.
% 54.60/54.86 exact zenon_H2ba.
% 54.60/54.86 cut (((op1 (e12) (e13)) = (op1 (e12) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H2bb].
% 54.60/54.86 cut (((op1 (e12) (e13)) = (op1 (e12) (op1 (e12) (e11))))); [idtac | apply NNPP; zenon_intro zenon_H2ed].
% 54.60/54.86 congruence.
% 54.60/54.86 apply (zenon_L195_); trivial.
% 54.60/54.86 apply zenon_H2bb. apply refl_equal.
% 54.60/54.86 apply zenon_H2bb. apply refl_equal.
% 54.60/54.86 apply zenon_H2fc. apply sym_equal. exact zenon_H210.
% 54.60/54.86 (* end of lemma zenon_L201_ *)
% 54.60/54.86 assert (zenon_L202_ : (((op1 (e10) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> ((op1 (e12) (op1 (e12) (e13))) = (e13)) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> ((e12) = (op1 (op1 (op1 (e11) (e11)) (op1 (e11) (e11))) (op1 (e11) (e11)))) -> ((e10) = (op1 (e11) (e11))) -> ((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> ((op1 (e10) (e11)) = (e11)) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e12) (op1 (e12) (e11))) = (e11)) -> ((op1 (e12) (e11)) = (e13)) -> False).
% 54.60/54.86 do 0 intro. intros zenon_H2fd zenon_H2b9 zenon_H2c0 zenon_H2c7 zenon_H2f6 zenon_H155 zenon_H13 zenon_H15 zenon_H172 zenon_H1fd zenon_H1fe zenon_H18a zenon_H2f8 zenon_H2fb zenon_H2ee zenon_H2e3.
% 54.60/54.86 apply (zenon_or_s _ _ zenon_H2fd); [ zenon_intro zenon_H2ef | zenon_intro zenon_H2fe ].
% 54.60/54.86 apply (zenon_L196_); trivial.
% 54.60/54.86 apply (zenon_or_s _ _ zenon_H2fe); [ zenon_intro zenon_H214 | zenon_intro zenon_H2ff ].
% 54.60/54.86 apply (zenon_L197_); trivial.
% 54.60/54.86 apply (zenon_or_s _ _ zenon_H2ff); [ zenon_intro zenon_H2f4 | zenon_intro zenon_H210 ].
% 54.60/54.86 apply (zenon_L200_); trivial.
% 54.60/54.86 apply (zenon_L201_); trivial.
% 54.60/54.86 (* end of lemma zenon_L202_ *)
% 54.60/54.86 assert (zenon_L203_ : ((e10) = (op1 (e11) (e11))) -> ((op1 (e11) (e13)) = (e10)) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> False).
% 54.60/54.86 do 0 intro. intros zenon_H13 zenon_H300 zenon_H301.
% 54.60/54.86 elim (classic ((op1 (e11) (e13)) = (op1 (e11) (e13)))); [ zenon_intro zenon_H1ee | zenon_intro zenon_H1ef ].
% 54.60/54.86 cut (((op1 (e11) (e13)) = (op1 (e11) (e13))) = ((op1 (e11) (e11)) = (op1 (e11) (e13)))).
% 54.60/54.86 intro zenon_D_pnotp.
% 54.60/54.86 apply zenon_H301.
% 54.60/54.86 rewrite <- zenon_D_pnotp.
% 54.60/54.86 exact zenon_H1ee.
% 54.60/54.86 cut (((op1 (e11) (e13)) = (op1 (e11) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H1ef].
% 54.60/54.86 cut (((op1 (e11) (e13)) = (op1 (e11) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H302].
% 54.60/54.86 congruence.
% 54.60/54.86 cut (((e10) = (op1 (e11) (e11))) = ((op1 (e11) (e13)) = (op1 (e11) (e11)))).
% 54.60/54.86 intro zenon_D_pnotp.
% 54.60/54.86 apply zenon_H302.
% 54.60/54.86 rewrite <- zenon_D_pnotp.
% 54.60/54.86 exact zenon_H13.
% 54.60/54.86 cut (((op1 (e11) (e11)) = (op1 (e11) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H14d].
% 54.60/54.86 cut (((e10) = (op1 (e11) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H303].
% 54.60/54.86 congruence.
% 54.60/54.86 elim (classic ((op1 (e11) (e13)) = (op1 (e11) (e13)))); [ zenon_intro zenon_H1ee | zenon_intro zenon_H1ef ].
% 54.60/54.86 cut (((op1 (e11) (e13)) = (op1 (e11) (e13))) = ((e10) = (op1 (e11) (e13)))).
% 54.60/54.86 intro zenon_D_pnotp.
% 54.60/54.86 apply zenon_H303.
% 54.60/54.86 rewrite <- zenon_D_pnotp.
% 54.60/54.86 exact zenon_H1ee.
% 54.60/54.86 cut (((op1 (e11) (e13)) = (op1 (e11) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H1ef].
% 54.60/54.86 cut (((op1 (e11) (e13)) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H304].
% 54.60/54.86 congruence.
% 54.60/54.86 exact (zenon_H304 zenon_H300).
% 54.60/54.86 apply zenon_H1ef. apply refl_equal.
% 54.60/54.86 apply zenon_H1ef. apply refl_equal.
% 54.60/54.86 apply zenon_H14d. apply refl_equal.
% 54.60/54.86 apply zenon_H1ef. apply refl_equal.
% 54.60/54.86 apply zenon_H1ef. apply refl_equal.
% 54.60/54.86 (* end of lemma zenon_L203_ *)
% 54.60/54.86 assert (zenon_L204_ : (~((op1 (e12) (e11)) = (op1 (e12) (op1 (e12) (e11))))) -> ((op1 (e12) (e11)) = (e11)) -> False).
% 54.60/54.86 do 0 intro. intros zenon_H305 zenon_H306.
% 54.60/54.86 cut (((e11) = (op1 (e12) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H307].
% 54.60/54.86 cut (((e12) = (e12))); [idtac | apply NNPP; zenon_intro zenon_H16e].
% 54.60/54.86 congruence.
% 54.60/54.86 apply zenon_H16e. apply refl_equal.
% 54.60/54.86 apply zenon_H307. apply sym_equal. exact zenon_H306.
% 54.60/54.86 (* end of lemma zenon_L204_ *)
% 54.60/54.86 assert (zenon_L205_ : ((op1 (e12) (op1 (e12) (e11))) = (e11)) -> ((op1 (e12) (e11)) = (e11)) -> ((op1 (e10) (e11)) = (e11)) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> False).
% 54.60/54.86 do 0 intro. intros zenon_H2ee zenon_H306 zenon_H1fe zenon_H204.
% 54.60/54.86 elim (classic ((op1 (e12) (e11)) = (op1 (e12) (e11)))); [ zenon_intro zenon_H2da | zenon_intro zenon_H2db ].
% 54.60/54.86 cut (((op1 (e12) (e11)) = (op1 (e12) (e11))) = ((op1 (e10) (e11)) = (op1 (e12) (e11)))).
% 54.60/54.86 intro zenon_D_pnotp.
% 54.60/54.86 apply zenon_H204.
% 54.60/54.86 rewrite <- zenon_D_pnotp.
% 54.60/54.86 exact zenon_H2da.
% 54.60/54.86 cut (((op1 (e12) (e11)) = (op1 (e12) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H2db].
% 54.60/54.86 cut (((op1 (e12) (e11)) = (op1 (e10) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H308].
% 54.60/54.86 congruence.
% 54.60/54.86 cut (((op1 (e12) (op1 (e12) (e11))) = (e11)) = ((op1 (e12) (e11)) = (op1 (e10) (e11)))).
% 54.60/54.86 intro zenon_D_pnotp.
% 54.60/54.86 apply zenon_H308.
% 54.60/54.86 rewrite <- zenon_D_pnotp.
% 54.60/54.86 exact zenon_H2ee.
% 54.60/54.86 cut (((e11) = (op1 (e10) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H309].
% 54.60/54.86 cut (((op1 (e12) (op1 (e12) (e11))) = (op1 (e12) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H30a].
% 54.60/54.86 congruence.
% 54.60/54.86 elim (classic ((op1 (e12) (e11)) = (op1 (e12) (e11)))); [ zenon_intro zenon_H2da | zenon_intro zenon_H2db ].
% 54.60/54.86 cut (((op1 (e12) (e11)) = (op1 (e12) (e11))) = ((op1 (e12) (op1 (e12) (e11))) = (op1 (e12) (e11)))).
% 54.60/54.86 intro zenon_D_pnotp.
% 54.60/54.86 apply zenon_H30a.
% 54.60/54.86 rewrite <- zenon_D_pnotp.
% 54.60/54.86 exact zenon_H2da.
% 54.60/54.86 cut (((op1 (e12) (e11)) = (op1 (e12) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H2db].
% 54.60/54.86 cut (((op1 (e12) (e11)) = (op1 (e12) (op1 (e12) (e11))))); [idtac | apply NNPP; zenon_intro zenon_H305].
% 54.60/54.86 congruence.
% 54.60/54.86 apply (zenon_L204_); trivial.
% 54.60/54.86 apply zenon_H2db. apply refl_equal.
% 54.60/54.86 apply zenon_H2db. apply refl_equal.
% 54.60/54.86 apply zenon_H309. apply sym_equal. exact zenon_H1fe.
% 54.60/54.86 apply zenon_H2db. apply refl_equal.
% 54.60/54.86 apply zenon_H2db. apply refl_equal.
% 54.60/54.86 (* end of lemma zenon_L205_ *)
% 54.60/54.86 assert (zenon_L206_ : (((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e12) (e11)) = (e13))))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> ((e10) = (op1 (e11) (e11))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> ((op1 (e10) (e11)) = (e11)) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> ((op1 (e12) (e12)) = (e13)) -> ((op1 (e12) (op1 (e12) (e12))) = (e12)) -> ((op1 (e12) (op1 (e12) (e11))) = (e11)) -> ((op1 (e11) (e13)) = (e11)) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> False).
% 54.60/54.86 do 0 intro. intros zenon_H30b zenon_H2d9 zenon_H13 zenon_H204 zenon_H1fe zenon_H2d1 zenon_H1d3 zenon_H2cc zenon_H2ee zenon_H214 zenon_H2c0.
% 54.60/54.86 apply (zenon_or_s _ _ zenon_H30b); [ zenon_intro zenon_H2d8 | zenon_intro zenon_H30c ].
% 54.60/54.86 apply (zenon_L187_); trivial.
% 54.60/54.86 apply (zenon_or_s _ _ zenon_H30c); [ zenon_intro zenon_H306 | zenon_intro zenon_H30d ].
% 54.60/54.86 apply (zenon_L205_); trivial.
% 54.60/54.86 apply (zenon_or_s _ _ zenon_H30d); [ zenon_intro zenon_H202 | zenon_intro zenon_H2e3 ].
% 54.60/54.86 apply (zenon_L178_); trivial.
% 54.60/54.86 apply (zenon_L197_); trivial.
% 54.60/54.86 (* end of lemma zenon_L206_ *)
% 54.60/54.86 assert (zenon_L207_ : ((op1 (e12) (op1 (e12) (e12))) = (e12)) -> ((op1 (e12) (e12)) = (e13)) -> ((op1 (e11) (e13)) = (e12)) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> False).
% 54.60/54.86 do 0 intro. intros zenon_H2cc zenon_H1d3 zenon_H1ec zenon_H2c0.
% 54.60/54.86 elim (classic ((op1 (e12) (e13)) = (op1 (e12) (e13)))); [ zenon_intro zenon_H2ba | zenon_intro zenon_H2bb ].
% 54.60/54.86 cut (((op1 (e12) (e13)) = (op1 (e12) (e13))) = ((op1 (e11) (e13)) = (op1 (e12) (e13)))).
% 54.60/54.86 intro zenon_D_pnotp.
% 54.60/54.86 apply zenon_H2c0.
% 54.60/54.86 rewrite <- zenon_D_pnotp.
% 54.60/54.86 exact zenon_H2ba.
% 54.60/54.86 cut (((op1 (e12) (e13)) = (op1 (e12) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H2bb].
% 54.60/54.86 cut (((op1 (e12) (e13)) = (op1 (e11) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H2f2].
% 54.60/54.86 congruence.
% 54.60/54.86 cut (((op1 (e12) (op1 (e12) (e12))) = (e12)) = ((op1 (e12) (e13)) = (op1 (e11) (e13)))).
% 54.60/54.86 intro zenon_D_pnotp.
% 54.60/54.86 apply zenon_H2f2.
% 54.60/54.86 rewrite <- zenon_D_pnotp.
% 54.60/54.86 exact zenon_H2cc.
% 54.60/54.86 cut (((e12) = (op1 (e11) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H1f1].
% 54.60/54.86 cut (((op1 (e12) (op1 (e12) (e12))) = (op1 (e12) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H2d3].
% 54.60/54.86 congruence.
% 54.60/54.86 elim (classic ((op1 (e12) (e13)) = (op1 (e12) (e13)))); [ zenon_intro zenon_H2ba | zenon_intro zenon_H2bb ].
% 54.60/54.86 cut (((op1 (e12) (e13)) = (op1 (e12) (e13))) = ((op1 (e12) (op1 (e12) (e12))) = (op1 (e12) (e13)))).
% 54.60/54.86 intro zenon_D_pnotp.
% 54.60/54.86 apply zenon_H2d3.
% 54.60/54.86 rewrite <- zenon_D_pnotp.
% 54.60/54.86 exact zenon_H2ba.
% 54.60/54.86 cut (((op1 (e12) (e13)) = (op1 (e12) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H2bb].
% 54.60/54.86 cut (((op1 (e12) (e13)) = (op1 (e12) (op1 (e12) (e12))))); [idtac | apply NNPP; zenon_intro zenon_H2d0].
% 54.60/54.86 congruence.
% 54.60/54.86 apply (zenon_L177_); trivial.
% 54.60/54.86 apply zenon_H2bb. apply refl_equal.
% 54.60/54.86 apply zenon_H2bb. apply refl_equal.
% 54.60/54.86 apply zenon_H1f1. apply sym_equal. exact zenon_H1ec.
% 54.60/54.86 apply zenon_H2bb. apply refl_equal.
% 54.60/54.86 apply zenon_H2bb. apply refl_equal.
% 54.60/54.86 (* end of lemma zenon_L207_ *)
% 54.60/54.86 assert (zenon_L208_ : ((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) -> ((op1 (e11) (e13)) = (e13)) -> ((op1 (e11) (e11)) = (e13)) -> ((e10) = (op1 (e11) (e11))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> False).
% 54.60/54.86 do 0 intro. intros zenon_H15 zenon_H234 zenon_H2b7 zenon_H13 zenon_H30e.
% 54.60/54.86 elim (classic ((op1 (e11) (e13)) = (op1 (e11) (e13)))); [ zenon_intro zenon_H1ee | zenon_intro zenon_H1ef ].
% 54.60/54.86 cut (((op1 (e11) (e13)) = (op1 (e11) (e13))) = ((op1 (e10) (e13)) = (op1 (e11) (e13)))).
% 54.60/54.86 intro zenon_D_pnotp.
% 54.60/54.86 apply zenon_H30e.
% 54.60/54.86 rewrite <- zenon_D_pnotp.
% 54.60/54.86 exact zenon_H1ee.
% 54.60/54.86 cut (((op1 (e11) (e13)) = (op1 (e11) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H1ef].
% 54.60/54.86 cut (((op1 (e11) (e13)) = (op1 (e10) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H30f].
% 54.60/54.86 congruence.
% 54.60/54.86 cut (((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) = ((op1 (e11) (e13)) = (op1 (e10) (e13)))).
% 54.60/54.86 intro zenon_D_pnotp.
% 54.60/54.86 apply zenon_H30f.
% 54.60/54.86 rewrite <- zenon_D_pnotp.
% 54.60/54.86 exact zenon_H15.
% 54.60/54.86 cut (((op1 (op1 (e11) (e11)) (op1 (e11) (e11))) = (op1 (e10) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H2b6].
% 54.60/54.86 cut (((e13) = (op1 (e11) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H2bf].
% 54.60/54.86 congruence.
% 54.60/54.86 elim (classic ((op1 (e11) (e13)) = (op1 (e11) (e13)))); [ zenon_intro zenon_H1ee | zenon_intro zenon_H1ef ].
% 54.60/54.86 cut (((op1 (e11) (e13)) = (op1 (e11) (e13))) = ((e13) = (op1 (e11) (e13)))).
% 54.60/54.86 intro zenon_D_pnotp.
% 54.60/54.86 apply zenon_H2bf.
% 54.60/54.86 rewrite <- zenon_D_pnotp.
% 54.60/54.86 exact zenon_H1ee.
% 54.60/54.86 cut (((op1 (e11) (e13)) = (op1 (e11) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H1ef].
% 54.60/54.86 cut (((op1 (e11) (e13)) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H310].
% 54.60/54.86 congruence.
% 54.60/54.86 exact (zenon_H310 zenon_H234).
% 54.60/54.86 apply zenon_H1ef. apply refl_equal.
% 54.60/54.86 apply zenon_H1ef. apply refl_equal.
% 54.60/54.86 apply (zenon_L162_); trivial.
% 54.60/54.86 apply zenon_H1ef. apply refl_equal.
% 54.60/54.86 apply zenon_H1ef. apply refl_equal.
% 54.60/54.86 (* end of lemma zenon_L208_ *)
% 54.60/54.86 assert (zenon_L209_ : (((op1 (e10) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> ((op1 (e13) (e11)) = (e13)) -> ((op1 (e12) (op1 (e12) (e13))) = (e13)) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e12) (op1 (e12) (e11))) = (e11)) -> ((op1 (e12) (e11)) = (e13)) -> False).
% 54.60/54.86 do 0 intro. intros zenon_H2fd zenon_H2b9 zenon_H2c0 zenon_H1c3 zenon_H2c7 zenon_H2f6 zenon_H2fb zenon_H2ee zenon_H2e3.
% 54.60/54.86 apply (zenon_or_s _ _ zenon_H2fd); [ zenon_intro zenon_H2ef | zenon_intro zenon_H2fe ].
% 54.60/54.86 apply (zenon_L196_); trivial.
% 54.60/54.86 apply (zenon_or_s _ _ zenon_H2fe); [ zenon_intro zenon_H214 | zenon_intro zenon_H2ff ].
% 54.60/54.86 apply (zenon_L197_); trivial.
% 54.60/54.86 apply (zenon_or_s _ _ zenon_H2ff); [ zenon_intro zenon_H2f4 | zenon_intro zenon_H210 ].
% 54.60/54.86 apply (zenon_L199_); trivial.
% 54.60/54.86 apply (zenon_L201_); trivial.
% 54.60/54.86 (* end of lemma zenon_L209_ *)
% 54.60/54.86 assert (zenon_L210_ : ((op1 (e12) (op1 (e12) (e13))) = (e13)) -> ((op1 (e12) (e13)) = (e13)) -> ((op1 (e11) (e13)) = (e13)) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> False).
% 54.60/54.86 do 0 intro. intros zenon_H2c7 zenon_H235 zenon_H234 zenon_H2c0.
% 54.60/54.86 elim (classic ((op1 (e12) (e13)) = (op1 (e12) (e13)))); [ zenon_intro zenon_H2ba | zenon_intro zenon_H2bb ].
% 54.60/54.86 cut (((op1 (e12) (e13)) = (op1 (e12) (e13))) = ((op1 (e11) (e13)) = (op1 (e12) (e13)))).
% 54.60/54.86 intro zenon_D_pnotp.
% 54.60/54.86 apply zenon_H2c0.
% 54.60/54.86 rewrite <- zenon_D_pnotp.
% 54.60/54.86 exact zenon_H2ba.
% 54.60/54.86 cut (((op1 (e12) (e13)) = (op1 (e12) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H2bb].
% 54.60/54.86 cut (((op1 (e12) (e13)) = (op1 (e11) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H2f2].
% 54.60/54.86 congruence.
% 54.60/54.86 cut (((op1 (e12) (op1 (e12) (e13))) = (e13)) = ((op1 (e12) (e13)) = (op1 (e11) (e13)))).
% 54.60/54.86 intro zenon_D_pnotp.
% 54.60/54.86 apply zenon_H2f2.
% 54.60/54.86 rewrite <- zenon_D_pnotp.
% 54.60/54.86 exact zenon_H2c7.
% 54.60/54.86 cut (((e13) = (op1 (e11) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H2bf].
% 54.60/54.86 cut (((op1 (e12) (op1 (e12) (e13))) = (op1 (e12) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H311].
% 54.60/54.86 congruence.
% 54.60/54.86 elim (classic ((op1 (e12) (e13)) = (op1 (e12) (e13)))); [ zenon_intro zenon_H2ba | zenon_intro zenon_H2bb ].
% 54.60/54.86 cut (((op1 (e12) (e13)) = (op1 (e12) (e13))) = ((op1 (e12) (op1 (e12) (e13))) = (op1 (e12) (e13)))).
% 54.60/54.86 intro zenon_D_pnotp.
% 54.60/54.86 apply zenon_H311.
% 54.60/54.86 rewrite <- zenon_D_pnotp.
% 54.60/54.86 exact zenon_H2ba.
% 54.60/54.86 cut (((op1 (e12) (e13)) = (op1 (e12) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H2bb].
% 54.60/54.86 cut (((op1 (e12) (e13)) = (op1 (e12) (op1 (e12) (e13))))); [idtac | apply NNPP; zenon_intro zenon_H312].
% 54.60/54.86 congruence.
% 54.60/54.86 cut (((e13) = (op1 (e12) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H2bd].
% 54.60/54.86 cut (((e12) = (e12))); [idtac | apply NNPP; zenon_intro zenon_H16e].
% 54.60/54.86 congruence.
% 54.60/54.86 apply zenon_H16e. apply refl_equal.
% 54.60/54.86 apply zenon_H2bd. apply sym_equal. exact zenon_H235.
% 54.60/54.86 apply zenon_H2bb. apply refl_equal.
% 54.60/54.86 apply zenon_H2bb. apply refl_equal.
% 54.60/54.86 apply zenon_H2bf. apply sym_equal. exact zenon_H234.
% 54.60/54.86 apply zenon_H2bb. apply refl_equal.
% 54.60/54.86 apply zenon_H2bb. apply refl_equal.
% 54.60/54.86 (* end of lemma zenon_L210_ *)
% 54.60/54.86 assert (zenon_L211_ : (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> ((e10) = (op1 (e11) (e11))) -> ((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) -> ((op1 (e12) (op1 (e12) (e11))) = (e11)) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> ((op1 (e13) (e11)) = (e13)) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> ((op1 (e12) (e11)) = (e12)) -> ((op1 (e12) (op1 (e12) (e12))) = (e12)) -> ((op1 (e12) (op1 (e12) (e13))) = (e13)) -> ((op1 (e11) (e13)) = (e13)) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> False).
% 54.60/54.86 do 0 intro. intros zenon_H2e7 zenon_H2ad zenon_H13 zenon_H15 zenon_H2ee zenon_H2fb zenon_H2f6 zenon_H1c3 zenon_H2b9 zenon_H2fd zenon_H2d1 zenon_H202 zenon_H2cc zenon_H2c7 zenon_H234 zenon_H2c0.
% 54.60/54.86 apply (zenon_or_s _ _ zenon_H2e7); [ zenon_intro zenon_H2ac | zenon_intro zenon_H2e8 ].
% 54.60/54.86 apply (zenon_L154_); trivial.
% 54.60/54.86 apply (zenon_or_s _ _ zenon_H2e8); [ zenon_intro zenon_H2e3 | zenon_intro zenon_H2e9 ].
% 54.60/54.86 apply (zenon_L209_); trivial.
% 54.60/54.86 apply (zenon_or_s _ _ zenon_H2e9); [ zenon_intro zenon_H1d3 | zenon_intro zenon_H235 ].
% 54.60/54.86 apply (zenon_L178_); trivial.
% 54.60/54.86 apply (zenon_L210_); trivial.
% 54.60/54.86 (* end of lemma zenon_L211_ *)
% 54.60/54.86 assert (zenon_L212_ : (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> ((op1 (e10) (e13)) = (e11)) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> ((e10) = (op1 (e11) (e11))) -> ((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) -> ((op1 (e12) (op1 (e12) (e11))) = (e11)) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> ((op1 (e12) (e11)) = (e12)) -> ((op1 (e12) (op1 (e12) (e12))) = (e12)) -> ((op1 (e12) (op1 (e12) (e13))) = (e13)) -> ((op1 (e11) (e13)) = (e13)) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> False).
% 54.60/54.86 do 0 intro. intros zenon_H313 zenon_H17 zenon_H30e zenon_H2ef zenon_H2e7 zenon_H2ad zenon_H13 zenon_H15 zenon_H2ee zenon_H2fb zenon_H2f6 zenon_H2b9 zenon_H2fd zenon_H2d1 zenon_H202 zenon_H2cc zenon_H2c7 zenon_H234 zenon_H2c0.
% 54.60/54.86 apply (zenon_or_s _ _ zenon_H313); [ zenon_intro zenon_H16 | zenon_intro zenon_H314 ].
% 54.60/54.86 apply (zenon_L2_); trivial.
% 54.60/54.86 apply (zenon_or_s _ _ zenon_H314); [ zenon_intro zenon_H2b7 | zenon_intro zenon_H315 ].
% 54.60/54.86 apply (zenon_L208_); trivial.
% 54.60/54.86 apply (zenon_or_s _ _ zenon_H315); [ zenon_intro zenon_H2e3 | zenon_intro zenon_H1c3 ].
% 54.60/54.86 apply (zenon_L196_); trivial.
% 54.60/54.86 apply (zenon_L211_); trivial.
% 54.60/54.86 (* end of lemma zenon_L212_ *)
% 54.60/54.86 assert (zenon_L213_ : (((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e12) (e11)) = (e13))))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> ((op1 (e10) (e11)) = (e11)) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> ((op1 (e11) (e13)) = (e13)) -> ((op1 (e12) (op1 (e12) (e13))) = (e13)) -> ((op1 (e12) (op1 (e12) (e12))) = (e12)) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> ((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) -> ((e10) = (op1 (e11) (e11))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> ((op1 (e12) (op1 (e12) (e11))) = (e11)) -> ((op1 (e10) (e13)) = (e11)) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> False).
% 54.60/54.86 do 0 intro. intros zenon_H30b zenon_H2d9 zenon_H204 zenon_H1fe zenon_H2c0 zenon_H234 zenon_H2c7 zenon_H2cc zenon_H2d1 zenon_H2fd zenon_H2f6 zenon_H2fb zenon_H15 zenon_H13 zenon_H2ad zenon_H2e7 zenon_H30e zenon_H17 zenon_H313 zenon_H2ee zenon_H2ef zenon_H2b9.
% 54.60/54.86 apply (zenon_or_s _ _ zenon_H30b); [ zenon_intro zenon_H2d8 | zenon_intro zenon_H30c ].
% 54.60/54.86 apply (zenon_L187_); trivial.
% 54.60/54.86 apply (zenon_or_s _ _ zenon_H30c); [ zenon_intro zenon_H306 | zenon_intro zenon_H30d ].
% 54.60/54.86 apply (zenon_L205_); trivial.
% 54.60/54.86 apply (zenon_or_s _ _ zenon_H30d); [ zenon_intro zenon_H202 | zenon_intro zenon_H2e3 ].
% 54.60/54.86 apply (zenon_L212_); trivial.
% 54.60/54.86 apply (zenon_L196_); trivial.
% 54.60/54.86 (* end of lemma zenon_L213_ *)
% 54.60/54.86 assert (zenon_L214_ : (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> ((op1 (e12) (e12)) = (e13)) -> (((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e12) (e11)) = (e13))))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> ((op1 (e10) (e11)) = (e11)) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> ((op1 (e12) (op1 (e12) (e13))) = (e13)) -> ((op1 (e12) (op1 (e12) (e12))) = (e12)) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> ((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) -> ((e10) = (op1 (e11) (e11))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> ((op1 (e12) (op1 (e12) (e11))) = (e11)) -> ((op1 (e10) (e13)) = (e11)) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> False).
% 54.60/54.86 do 0 intro. intros zenon_H316 zenon_H301 zenon_H1d3 zenon_H30b zenon_H2d9 zenon_H204 zenon_H1fe zenon_H2c0 zenon_H2c7 zenon_H2cc zenon_H2d1 zenon_H2fd zenon_H2f6 zenon_H2fb zenon_H15 zenon_H13 zenon_H2ad zenon_H2e7 zenon_H30e zenon_H17 zenon_H313 zenon_H2ee zenon_H2ef zenon_H2b9.
% 54.60/54.86 apply (zenon_or_s _ _ zenon_H316); [ zenon_intro zenon_H300 | zenon_intro zenon_H317 ].
% 54.60/54.86 apply (zenon_L203_); trivial.
% 54.60/54.86 apply (zenon_or_s _ _ zenon_H317); [ zenon_intro zenon_H214 | zenon_intro zenon_H318 ].
% 54.60/54.86 apply (zenon_L206_); trivial.
% 54.60/54.86 apply (zenon_or_s _ _ zenon_H318); [ zenon_intro zenon_H1ec | zenon_intro zenon_H234 ].
% 54.60/54.86 apply (zenon_L207_); trivial.
% 54.60/54.86 apply (zenon_L213_); trivial.
% 54.60/54.86 (* end of lemma zenon_L214_ *)
% 54.60/54.86 assert (zenon_L215_ : (~((op1 (e12) (e11)) = (op1 (e12) (op1 (e12) (e12))))) -> ((op1 (e12) (e12)) = (e11)) -> False).
% 54.60/54.86 do 0 intro. intros zenon_H319 zenon_H1e2.
% 54.60/54.86 cut (((e11) = (op1 (e12) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H1e3].
% 54.60/54.86 cut (((e12) = (e12))); [idtac | apply NNPP; zenon_intro zenon_H16e].
% 54.60/54.86 congruence.
% 54.60/54.86 apply zenon_H16e. apply refl_equal.
% 54.60/54.86 apply zenon_H1e3. apply sym_equal. exact zenon_H1e2.
% 54.60/54.86 (* end of lemma zenon_L215_ *)
% 54.60/54.86 assert (zenon_L216_ : ((op1 (e12) (op1 (e12) (e12))) = (e12)) -> ((op1 (e12) (e12)) = (e11)) -> ((op1 (e10) (e11)) = (e12)) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> False).
% 54.60/54.86 do 0 intro. intros zenon_H2cc zenon_H1e2 zenon_H1dc zenon_H204.
% 54.60/54.86 elim (classic ((op1 (e12) (e11)) = (op1 (e12) (e11)))); [ zenon_intro zenon_H2da | zenon_intro zenon_H2db ].
% 54.60/54.86 cut (((op1 (e12) (e11)) = (op1 (e12) (e11))) = ((op1 (e10) (e11)) = (op1 (e12) (e11)))).
% 54.60/54.86 intro zenon_D_pnotp.
% 54.60/54.86 apply zenon_H204.
% 54.60/54.86 rewrite <- zenon_D_pnotp.
% 54.60/54.86 exact zenon_H2da.
% 54.60/54.86 cut (((op1 (e12) (e11)) = (op1 (e12) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H2db].
% 54.60/54.86 cut (((op1 (e12) (e11)) = (op1 (e10) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H308].
% 54.60/54.86 congruence.
% 54.60/54.86 cut (((op1 (e12) (op1 (e12) (e12))) = (e12)) = ((op1 (e12) (e11)) = (op1 (e10) (e11)))).
% 54.60/54.86 intro zenon_D_pnotp.
% 54.60/54.86 apply zenon_H308.
% 54.60/54.86 rewrite <- zenon_D_pnotp.
% 54.60/54.86 exact zenon_H2cc.
% 54.60/54.86 cut (((e12) = (op1 (e10) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H1e6].
% 54.60/54.87 cut (((op1 (e12) (op1 (e12) (e12))) = (op1 (e12) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H31a].
% 54.60/54.87 congruence.
% 54.60/54.87 elim (classic ((op1 (e12) (e11)) = (op1 (e12) (e11)))); [ zenon_intro zenon_H2da | zenon_intro zenon_H2db ].
% 54.60/54.87 cut (((op1 (e12) (e11)) = (op1 (e12) (e11))) = ((op1 (e12) (op1 (e12) (e12))) = (op1 (e12) (e11)))).
% 54.60/54.87 intro zenon_D_pnotp.
% 54.60/54.87 apply zenon_H31a.
% 54.60/54.87 rewrite <- zenon_D_pnotp.
% 54.60/54.87 exact zenon_H2da.
% 54.60/54.87 cut (((op1 (e12) (e11)) = (op1 (e12) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H2db].
% 54.60/54.87 cut (((op1 (e12) (e11)) = (op1 (e12) (op1 (e12) (e12))))); [idtac | apply NNPP; zenon_intro zenon_H319].
% 54.60/54.87 congruence.
% 54.60/54.87 apply (zenon_L215_); trivial.
% 54.60/54.87 apply zenon_H2db. apply refl_equal.
% 54.60/54.87 apply zenon_H2db. apply refl_equal.
% 54.60/54.87 apply zenon_H1e6. apply sym_equal. exact zenon_H1dc.
% 54.60/54.87 apply zenon_H2db. apply refl_equal.
% 54.60/54.87 apply zenon_H2db. apply refl_equal.
% 54.60/54.87 (* end of lemma zenon_L216_ *)
% 54.60/54.87 assert (zenon_L217_ : ((op1 (e12) (op1 (e12) (e12))) = (e12)) -> ((op1 (e12) (e12)) = (e13)) -> ((op1 (e10) (e13)) = (e12)) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> False).
% 54.60/54.87 do 0 intro. intros zenon_H2cc zenon_H1d3 zenon_H31b zenon_H2b9.
% 54.60/54.87 elim (classic ((op1 (e12) (e13)) = (op1 (e12) (e13)))); [ zenon_intro zenon_H2ba | zenon_intro zenon_H2bb ].
% 54.60/54.87 cut (((op1 (e12) (e13)) = (op1 (e12) (e13))) = ((op1 (e10) (e13)) = (op1 (e12) (e13)))).
% 54.60/54.87 intro zenon_D_pnotp.
% 54.60/54.87 apply zenon_H2b9.
% 54.60/54.87 rewrite <- zenon_D_pnotp.
% 54.60/54.87 exact zenon_H2ba.
% 54.60/54.87 cut (((op1 (e12) (e13)) = (op1 (e12) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H2bb].
% 54.60/54.87 cut (((op1 (e12) (e13)) = (op1 (e10) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H2bc].
% 54.60/54.87 congruence.
% 54.60/54.87 cut (((op1 (e12) (op1 (e12) (e12))) = (e12)) = ((op1 (e12) (e13)) = (op1 (e10) (e13)))).
% 54.60/54.87 intro zenon_D_pnotp.
% 54.60/54.87 apply zenon_H2bc.
% 54.60/54.87 rewrite <- zenon_D_pnotp.
% 54.60/54.87 exact zenon_H2cc.
% 54.60/54.87 cut (((e12) = (op1 (e10) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H31c].
% 54.60/54.87 cut (((op1 (e12) (op1 (e12) (e12))) = (op1 (e12) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H2d3].
% 54.60/54.87 congruence.
% 54.60/54.87 elim (classic ((op1 (e12) (e13)) = (op1 (e12) (e13)))); [ zenon_intro zenon_H2ba | zenon_intro zenon_H2bb ].
% 54.60/54.87 cut (((op1 (e12) (e13)) = (op1 (e12) (e13))) = ((op1 (e12) (op1 (e12) (e12))) = (op1 (e12) (e13)))).
% 54.60/54.87 intro zenon_D_pnotp.
% 54.60/54.87 apply zenon_H2d3.
% 54.60/54.87 rewrite <- zenon_D_pnotp.
% 54.60/54.87 exact zenon_H2ba.
% 54.60/54.87 cut (((op1 (e12) (e13)) = (op1 (e12) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H2bb].
% 54.60/54.87 cut (((op1 (e12) (e13)) = (op1 (e12) (op1 (e12) (e12))))); [idtac | apply NNPP; zenon_intro zenon_H2d0].
% 54.60/54.87 congruence.
% 54.60/54.87 apply (zenon_L177_); trivial.
% 54.60/54.87 apply zenon_H2bb. apply refl_equal.
% 54.60/54.87 apply zenon_H2bb. apply refl_equal.
% 54.60/54.87 apply zenon_H31c. apply sym_equal. exact zenon_H31b.
% 54.60/54.87 apply zenon_H2bb. apply refl_equal.
% 54.60/54.87 apply zenon_H2bb. apply refl_equal.
% 54.60/54.87 (* end of lemma zenon_L217_ *)
% 54.60/54.87 assert (zenon_L218_ : (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (~((op1 (e13) (e13)) = (e12))) -> ((e12) = (op1 (op1 (op1 (e11) (e11)) (op1 (e11) (e11))) (op1 (e11) (e11)))) -> ((e10) = (op1 (e11) (e11))) -> ((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> ((op1 (e10) (e11)) = (e12)) -> (~((op1 (e12) (e12)) = (e12))) -> ((op1 (e12) (op1 (e12) (e12))) = (e12)) -> ((op1 (e10) (e13)) = (e12)) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> False).
% 54.60/54.87 do 0 intro. intros zenon_H1da zenon_H185 zenon_H155 zenon_H13 zenon_H15 zenon_H179 zenon_H172 zenon_H21a zenon_H186 zenon_H204 zenon_H1dc zenon_H1d1 zenon_H2cc zenon_H31b zenon_H2b9.
% 54.60/54.87 apply (zenon_or_s _ _ zenon_H1da); [ zenon_intro zenon_H1e0 | zenon_intro zenon_H1df ].
% 54.60/54.87 apply (zenon_L176_); trivial.
% 54.60/54.87 apply (zenon_or_s _ _ zenon_H1df); [ zenon_intro zenon_H1e2 | zenon_intro zenon_H1e1 ].
% 54.60/54.87 apply (zenon_L216_); trivial.
% 54.60/54.87 apply (zenon_or_s _ _ zenon_H1e1); [ zenon_intro zenon_H1cb | zenon_intro zenon_H1d3 ].
% 54.60/54.87 exact (zenon_H1d1 zenon_H1cb).
% 54.60/54.87 apply (zenon_L217_); trivial.
% 54.60/54.87 (* end of lemma zenon_L218_ *)
% 54.60/54.87 assert (zenon_L219_ : (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e12) (op1 (e12) (e11))) = (e11)) -> ((op1 (e12) (e11)) = (e12)) -> ((op1 (e13) (e12)) = (e11)) -> False).
% 54.60/54.87 do 0 intro. intros zenon_H1d8 zenon_H2ee zenon_H202 zenon_H31d.
% 54.60/54.87 cut (((op1 (e12) (op1 (e12) (e11))) = (e11)) = ((op1 (e12) (e12)) = (op1 (e13) (e12)))).
% 54.60/54.87 intro zenon_D_pnotp.
% 54.60/54.87 apply zenon_H1d8.
% 54.60/54.87 rewrite <- zenon_D_pnotp.
% 54.60/54.87 exact zenon_H2ee.
% 54.60/54.87 cut (((e11) = (op1 (e13) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H31e].
% 54.60/54.87 cut (((op1 (e12) (op1 (e12) (e11))) = (op1 (e12) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H31f].
% 54.60/54.87 congruence.
% 54.60/54.87 elim (classic ((op1 (e12) (e12)) = (op1 (e12) (e12)))); [ zenon_intro zenon_H1cd | zenon_intro zenon_H1ce ].
% 54.60/54.87 cut (((op1 (e12) (e12)) = (op1 (e12) (e12))) = ((op1 (e12) (op1 (e12) (e11))) = (op1 (e12) (e12)))).
% 54.60/54.87 intro zenon_D_pnotp.
% 54.60/54.87 apply zenon_H31f.
% 54.60/54.87 rewrite <- zenon_D_pnotp.
% 54.60/54.87 exact zenon_H1cd.
% 54.60/54.87 cut (((op1 (e12) (e12)) = (op1 (e12) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H1ce].
% 54.60/54.87 cut (((op1 (e12) (e12)) = (op1 (e12) (op1 (e12) (e11))))); [idtac | apply NNPP; zenon_intro zenon_H320].
% 54.60/54.87 congruence.
% 54.60/54.87 cut (((e12) = (op1 (e12) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H203].
% 54.60/54.87 cut (((e12) = (e12))); [idtac | apply NNPP; zenon_intro zenon_H16e].
% 54.60/54.87 congruence.
% 54.60/54.87 apply zenon_H16e. apply refl_equal.
% 54.60/54.87 apply zenon_H203. apply sym_equal. exact zenon_H202.
% 54.60/54.87 apply zenon_H1ce. apply refl_equal.
% 54.60/54.87 apply zenon_H1ce. apply refl_equal.
% 54.60/54.87 apply zenon_H31e. apply sym_equal. exact zenon_H31d.
% 54.60/54.87 (* end of lemma zenon_L219_ *)
% 54.60/54.87 assert (zenon_L220_ : (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> ((op1 (e12) (op1 (e12) (e13))) = (e13)) -> ((op1 (e12) (e13)) = (e11)) -> ((op1 (e12) (e12)) = (e13)) -> False).
% 54.60/54.87 do 0 intro. intros zenon_H321 zenon_H2c7 zenon_H2f4 zenon_H1d3.
% 54.60/54.87 cut (((op1 (e12) (op1 (e12) (e13))) = (e13)) = ((op1 (e12) (e11)) = (op1 (e12) (e12)))).
% 54.60/54.87 intro zenon_D_pnotp.
% 54.60/54.87 apply zenon_H321.
% 54.60/54.87 rewrite <- zenon_D_pnotp.
% 54.60/54.87 exact zenon_H2c7.
% 54.60/54.87 cut (((e13) = (op1 (e12) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H1d4].
% 54.60/54.87 cut (((op1 (e12) (op1 (e12) (e13))) = (op1 (e12) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H2f7].
% 54.60/54.87 congruence.
% 54.60/54.87 elim (classic ((op1 (e12) (e11)) = (op1 (e12) (e11)))); [ zenon_intro zenon_H2da | zenon_intro zenon_H2db ].
% 54.60/54.87 cut (((op1 (e12) (e11)) = (op1 (e12) (e11))) = ((op1 (e12) (op1 (e12) (e13))) = (op1 (e12) (e11)))).
% 54.60/54.87 intro zenon_D_pnotp.
% 54.60/54.87 apply zenon_H2f7.
% 54.60/54.87 rewrite <- zenon_D_pnotp.
% 54.60/54.87 exact zenon_H2da.
% 54.60/54.87 cut (((op1 (e12) (e11)) = (op1 (e12) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H2db].
% 54.60/54.87 cut (((op1 (e12) (e11)) = (op1 (e12) (op1 (e12) (e13))))); [idtac | apply NNPP; zenon_intro zenon_H2f3].
% 54.60/54.87 congruence.
% 54.60/54.87 apply (zenon_L198_); trivial.
% 54.60/54.87 apply zenon_H2db. apply refl_equal.
% 54.60/54.87 apply zenon_H2db. apply refl_equal.
% 54.60/54.87 apply zenon_H1d4. apply sym_equal. exact zenon_H1d3.
% 54.60/54.87 (* end of lemma zenon_L220_ *)
% 54.60/54.87 assert (zenon_L221_ : (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> ((e10) = (op1 (e11) (e11))) -> ((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e13) (e12)) = (e13)) -> ((op1 (e12) (op1 (e12) (e13))) = (e13)) -> ((op1 (e12) (e13)) = (e13)) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> False).
% 54.60/54.87 do 0 intro. intros zenon_H2c2 zenon_H15a zenon_H2b9 zenon_H13 zenon_H15 zenon_H1f4 zenon_H1ba zenon_H2c7 zenon_H235 zenon_H2c0.
% 54.60/54.87 apply (zenon_or_s _ _ zenon_H2c2); [ zenon_intro zenon_H159 | zenon_intro zenon_H2c3 ].
% 54.60/54.87 apply (zenon_L64_); trivial.
% 54.60/54.87 apply (zenon_or_s _ _ zenon_H2c3); [ zenon_intro zenon_H2b7 | zenon_intro zenon_H2c4 ].
% 54.60/54.87 apply (zenon_L163_); trivial.
% 54.60/54.87 apply (zenon_or_s _ _ zenon_H2c4); [ zenon_intro zenon_H1f3 | zenon_intro zenon_H234 ].
% 54.60/54.87 apply (zenon_L96_); trivial.
% 54.60/54.87 apply (zenon_L210_); trivial.
% 54.60/54.87 (* end of lemma zenon_L221_ *)
% 54.60/54.87 assert (zenon_L222_ : (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> ((op1 (e12) (e12)) = (e13)) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> ((e10) = (op1 (e11) (e11))) -> ((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e13) (e12)) = (e13)) -> ((op1 (e12) (op1 (e12) (e13))) = (e13)) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> False).
% 54.60/54.87 do 0 intro. intros zenon_H322 zenon_H2a3 zenon_H1d3 zenon_H321 zenon_H1d8 zenon_H2c2 zenon_H15a zenon_H2b9 zenon_H13 zenon_H15 zenon_H1f4 zenon_H1ba zenon_H2c7 zenon_H2c0.
% 54.60/54.87 apply (zenon_or_s _ _ zenon_H322); [ zenon_intro zenon_H2e0 | zenon_intro zenon_H323 ].
% 54.60/54.87 apply (zenon_L190_); trivial.
% 54.60/54.87 apply (zenon_or_s _ _ zenon_H323); [ zenon_intro zenon_H2f4 | zenon_intro zenon_H324 ].
% 54.60/54.87 apply (zenon_L220_); trivial.
% 54.60/54.87 apply (zenon_or_s _ _ zenon_H324); [ zenon_intro zenon_H22f | zenon_intro zenon_H235 ].
% 54.60/54.87 apply (zenon_L172_); trivial.
% 54.60/54.87 apply (zenon_L221_); trivial.
% 54.60/54.87 (* end of lemma zenon_L222_ *)
% 54.60/54.87 assert (zenon_L223_ : (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> ((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) -> ((e10) = (op1 (e11) (e11))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> ((op1 (e13) (e11)) = (e13)) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> ((op1 (e13) (e12)) = (e13)) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e12) (op1 (e12) (e13))) = (e13)) -> ((op1 (e11) (e13)) = (e13)) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> False).
% 54.60/54.87 do 0 intro. intros zenon_H322 zenon_H2e6 zenon_H2a3 zenon_H2e2 zenon_H15 zenon_H13 zenon_H2ad zenon_H2e7 zenon_H1c3 zenon_H2f6 zenon_H1ba zenon_H1d8 zenon_H2c7 zenon_H234 zenon_H2c0.
% 54.60/54.87 apply (zenon_or_s _ _ zenon_H322); [ zenon_intro zenon_H2e0 | zenon_intro zenon_H323 ].
% 54.60/54.87 apply (zenon_L192_); trivial.
% 54.60/54.87 apply (zenon_or_s _ _ zenon_H323); [ zenon_intro zenon_H2f4 | zenon_intro zenon_H324 ].
% 54.60/54.87 apply (zenon_L199_); trivial.
% 54.60/54.87 apply (zenon_or_s _ _ zenon_H324); [ zenon_intro zenon_H22f | zenon_intro zenon_H235 ].
% 54.60/54.87 apply (zenon_L172_); trivial.
% 54.60/54.87 apply (zenon_L210_); trivial.
% 54.60/54.87 (* end of lemma zenon_L223_ *)
% 54.60/54.87 assert (zenon_L224_ : (((op1 (e11) (e10)) = (e11))/\(((op1 (e10) (e11)) = (e11))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11))))/\(((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12))))/\((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13))))))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> ((op1 (e12) (op1 (e12) (e11))) = (e11)) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> ((e12) = (op1 (op1 (op1 (e11) (e11)) (op1 (e11) (e11))) (op1 (e11) (e11)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> ((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) -> ((e10) = (op1 (e11) (e11))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> ((op1 (e13) (e12)) = (e13)) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e12) (op1 (e12) (e13))) = (e13)) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> False).
% 54.60/54.87 do 0 intro. intros zenon_H259 zenon_H321 zenon_H2c2 zenon_H15a zenon_H1f4 zenon_H313 zenon_H17 zenon_H30e zenon_H2ee zenon_H2fb zenon_H2f8 zenon_H18a zenon_H1fd zenon_H172 zenon_H155 zenon_H2b9 zenon_H2fd zenon_H322 zenon_H2e6 zenon_H2a3 zenon_H2e2 zenon_H15 zenon_H13 zenon_H2ad zenon_H2e7 zenon_H2f6 zenon_H1ba zenon_H1d8 zenon_H2c7 zenon_H2c0.
% 54.60/54.87 apply (zenon_and_s _ _ zenon_H259). zenon_intro zenon_H163. zenon_intro zenon_H25a.
% 54.60/54.87 apply (zenon_and_s _ _ zenon_H25a). zenon_intro zenon_H1fe. zenon_intro zenon_H149.
% 54.60/54.87 apply (zenon_or_s _ _ zenon_H2c2); [ zenon_intro zenon_H159 | zenon_intro zenon_H2c3 ].
% 54.60/54.87 apply (zenon_L64_); trivial.
% 54.60/54.87 apply (zenon_or_s _ _ zenon_H2c3); [ zenon_intro zenon_H2b7 | zenon_intro zenon_H2c4 ].
% 54.60/54.87 apply (zenon_or_s _ _ zenon_H2e7); [ zenon_intro zenon_H2ac | zenon_intro zenon_H2e8 ].
% 54.60/54.87 apply (zenon_L154_); trivial.
% 54.60/54.87 apply (zenon_or_s _ _ zenon_H2e8); [ zenon_intro zenon_H2e3 | zenon_intro zenon_H2e9 ].
% 54.60/54.87 apply (zenon_L202_); trivial.
% 54.60/54.87 apply (zenon_or_s _ _ zenon_H2e9); [ zenon_intro zenon_H1d3 | zenon_intro zenon_H235 ].
% 54.60/54.87 apply (zenon_L222_); trivial.
% 54.60/54.87 apply (zenon_L163_); trivial.
% 54.60/54.87 apply (zenon_or_s _ _ zenon_H2c4); [ zenon_intro zenon_H1f3 | zenon_intro zenon_H234 ].
% 54.60/54.87 apply (zenon_L96_); trivial.
% 54.60/54.87 apply (zenon_or_s _ _ zenon_H313); [ zenon_intro zenon_H16 | zenon_intro zenon_H314 ].
% 54.60/54.87 apply (zenon_L2_); trivial.
% 54.60/54.87 apply (zenon_or_s _ _ zenon_H314); [ zenon_intro zenon_H2b7 | zenon_intro zenon_H315 ].
% 54.60/54.87 apply (zenon_L208_); trivial.
% 54.60/54.87 apply (zenon_or_s _ _ zenon_H315); [ zenon_intro zenon_H2e3 | zenon_intro zenon_H1c3 ].
% 54.60/54.87 apply (zenon_L202_); trivial.
% 54.60/54.87 apply (zenon_L223_); trivial.
% 54.60/54.87 (* end of lemma zenon_L224_ *)
% 54.60/54.87 assert (zenon_L225_ : (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> ((op1 (e10) (e12)) = (e10)) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e12) (e11)) = (e12)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (((op1 (e11) (e10)) = (e11))/\(((op1 (e10) (e11)) = (e11))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11))))/\(((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12))))/\((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13))))))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> ((op1 (e12) (op1 (e12) (e11))) = (e11)) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> ((e12) = (op1 (op1 (op1 (e11) (e11)) (op1 (e11) (e11))) (op1 (e11) (e11)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> ((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) -> ((e10) = (op1 (e11) (e11))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e12) (op1 (e12) (e13))) = (e13)) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> False).
% 54.60/54.87 do 0 intro. intros zenon_H325 zenon_H18f zenon_H18e zenon_H202 zenon_H179 zenon_H259 zenon_H321 zenon_H2c2 zenon_H15a zenon_H1f4 zenon_H313 zenon_H17 zenon_H30e zenon_H2ee zenon_H2fb zenon_H2f8 zenon_H18a zenon_H1fd zenon_H172 zenon_H155 zenon_H2b9 zenon_H2fd zenon_H322 zenon_H2e6 zenon_H2a3 zenon_H2e2 zenon_H15 zenon_H13 zenon_H2ad zenon_H2e7 zenon_H2f6 zenon_H1d8 zenon_H2c7 zenon_H2c0.
% 54.60/54.87 apply (zenon_or_s _ _ zenon_H325); [ zenon_intro zenon_H190 | zenon_intro zenon_H326 ].
% 54.60/54.87 apply (zenon_L74_); trivial.
% 54.60/54.87 apply (zenon_or_s _ _ zenon_H326); [ zenon_intro zenon_H31d | zenon_intro zenon_H327 ].
% 54.60/54.87 apply (zenon_L219_); trivial.
% 54.60/54.87 apply (zenon_or_s _ _ zenon_H327); [ zenon_intro zenon_H178 | zenon_intro zenon_H1ba ].
% 54.60/54.87 apply (zenon_L70_); trivial.
% 54.60/54.87 apply (zenon_L224_); trivial.
% 54.60/54.87 (* end of lemma zenon_L225_ *)
% 54.60/54.87 assert (zenon_L226_ : (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> ((op1 (e10) (e13)) = (e12)) -> ((op1 (e12) (op1 (e12) (e12))) = (e12)) -> (~((op1 (e12) (e12)) = (e12))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e13) (e13)) = (e12))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (~((op1 (e11) (e11)) = (e12))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> ((op1 (e12) (op1 (e12) (e13))) = (e13)) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> (((op1 (e10) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e12) (op1 (e12) (e11))) = (e11)) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (((op1 (e11) (e10)) = (e11))/\(((op1 (e10) (e11)) = (e11))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11))))/\(((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12))))/\((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13))))))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((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))))) -> ((e12) = (op1 (op1 (op1 (e11) (e11)) (op1 (e11) (e11))) (op1 (e11) (e11)))) -> ((e10) = (op1 (e11) (e11))) -> ((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> False).
% 54.60/54.87 do 0 intro. intros zenon_H209 zenon_H31b zenon_H2cc zenon_H1d1 zenon_H204 zenon_H186 zenon_H21a zenon_H185 zenon_H1da zenon_H1b9 zenon_H2c0 zenon_H2c7 zenon_H1d8 zenon_H2f6 zenon_H2e7 zenon_H2ad zenon_H2e2 zenon_H2a3 zenon_H2e6 zenon_H322 zenon_H2fd zenon_H2b9 zenon_H1fd zenon_H18a zenon_H2f8 zenon_H2fb zenon_H2ee zenon_H30e zenon_H17 zenon_H313 zenon_H1f4 zenon_H15a zenon_H2c2 zenon_H321 zenon_H259 zenon_H179 zenon_H18e zenon_H18f zenon_H325 zenon_H155 zenon_H13 zenon_H15 zenon_H172.
% 54.60/54.87 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H1dc | zenon_intro zenon_H20a ].
% 54.60/54.87 apply (zenon_L218_); trivial.
% 54.60/54.87 apply (zenon_or_s _ _ zenon_H20a); [ zenon_intro zenon_H1b8 | zenon_intro zenon_H20b ].
% 54.60/54.87 exact (zenon_H1b9 zenon_H1b8).
% 54.60/54.87 apply (zenon_or_s _ _ zenon_H20b); [ zenon_intro zenon_H202 | zenon_intro zenon_H171 ].
% 54.60/54.87 apply (zenon_L225_); trivial.
% 54.60/54.87 apply (zenon_L69_); trivial.
% 54.60/54.87 (* end of lemma zenon_L226_ *)
% 54.60/54.87 assert (zenon_L227_ : ((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> ((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) -> ((e10) = (op1 (e11) (e11))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> ((op1 (e12) (op1 (e12) (e12))) = (e12)) -> (((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e12) (e11)) = (e13))))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e10) (e12)) = (e10)) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e11) (e10)) = (e11))/\(((op1 (e10) (e11)) = (e11))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11))))/\(((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12))))/\((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13))))))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e11) (e11)) = (e12))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e13) (e13)) = (e12))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e12) (e12)) = (e12))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> ((op1 (e12) (op1 (e12) (e11))) = (e11)) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> ((op1 (e12) (op1 (e12) (e13))) = (e13)) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> ((e12) = (op1 (op1 (op1 (e11) (e11)) (op1 (e11) (e11))) (op1 (e11) (e11)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> ((op1 (e10) (e11)) = (e11)) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((e12) = (e13))) -> False).
% 54.60/54.87 do 0 intro. intros zenon_H25d zenon_H1e zenon_H1a0 zenon_H15a zenon_H15 zenon_H13 zenon_H316 zenon_H313 zenon_H2e7 zenon_H30e zenon_H17 zenon_H2d9 zenon_H204 zenon_H2d1 zenon_H2cc zenon_H30b zenon_H301 zenon_H209 zenon_H18e zenon_H18f zenon_H1d8 zenon_H259 zenon_H2a3 zenon_H321 zenon_H2c2 zenon_H1f4 zenon_H322 zenon_H2e6 zenon_H2e2 zenon_H325 zenon_H1b9 zenon_H186 zenon_H185 zenon_H179 zenon_H21a zenon_H1d1 zenon_H1da zenon_H25 zenon_H328 zenon_H2b9 zenon_H2ee zenon_H2c0 zenon_H2f8 zenon_H2c7 zenon_H2f6 zenon_H155 zenon_H172 zenon_H1fe zenon_H1fd zenon_H18a zenon_H2fb zenon_H2fd zenon_H2ad zenon_H23b zenon_H1cc zenon_H236.
% 54.60/54.87 apply (zenon_or_s _ _ zenon_H25d); [ zenon_intro zenon_H25f | zenon_intro zenon_H1a1 ].
% 54.60/54.87 apply (zenon_or_s _ _ zenon_H2c2); [ zenon_intro zenon_H159 | zenon_intro zenon_H2c3 ].
% 54.60/54.87 apply (zenon_L64_); trivial.
% 54.60/54.87 apply (zenon_or_s _ _ zenon_H2c3); [ zenon_intro zenon_H2b7 | zenon_intro zenon_H2c4 ].
% 54.60/54.87 apply (zenon_or_s _ _ zenon_H2e7); [ zenon_intro zenon_H2ac | zenon_intro zenon_H2e8 ].
% 54.60/54.87 apply (zenon_L154_); trivial.
% 54.60/54.87 apply (zenon_or_s _ _ zenon_H2e8); [ zenon_intro zenon_H2e3 | zenon_intro zenon_H2e9 ].
% 54.60/54.87 apply (zenon_L202_); trivial.
% 54.60/54.87 apply (zenon_or_s _ _ zenon_H2e9); [ zenon_intro zenon_H1d3 | zenon_intro zenon_H235 ].
% 54.60/54.87 apply (zenon_or_s _ _ zenon_H328); [ zenon_intro zenon_H19b | zenon_intro zenon_H329 ].
% 54.60/54.87 exact (zenon_H25f zenon_H19b).
% 54.60/54.87 apply (zenon_or_s _ _ zenon_H329); [ zenon_intro zenon_H2ef | zenon_intro zenon_H32a ].
% 54.60/54.87 apply (zenon_L214_); trivial.
% 54.60/54.87 apply (zenon_or_s _ _ zenon_H32a); [ zenon_intro zenon_H31b | zenon_intro zenon_H24 ].
% 54.60/54.87 apply (zenon_L226_); trivial.
% 54.60/54.87 apply (zenon_L4_); trivial.
% 54.60/54.87 apply (zenon_L163_); trivial.
% 54.60/54.87 apply (zenon_or_s _ _ zenon_H2c4); [ zenon_intro zenon_H1f3 | zenon_intro zenon_H234 ].
% 54.60/54.87 apply (zenon_or_s _ _ zenon_H23b); [ zenon_intro zenon_H21b | zenon_intro zenon_H23d ].
% 54.60/54.87 apply (zenon_L109_); trivial.
% 54.60/54.87 apply (zenon_or_s _ _ zenon_H23d); [ zenon_intro zenon_H202 | zenon_intro zenon_H23e ].
% 54.60/54.87 apply (zenon_L225_); trivial.
% 54.60/54.87 apply (zenon_or_s _ _ zenon_H23e); [ zenon_intro zenon_H1cb | zenon_intro zenon_H22f ].
% 54.60/54.87 exact (zenon_H1d1 zenon_H1cb).
% 54.60/54.87 apply (zenon_L171_); trivial.
% 54.60/54.87 apply (zenon_or_s _ _ zenon_H313); [ zenon_intro zenon_H16 | zenon_intro zenon_H314 ].
% 54.60/54.87 apply (zenon_L2_); trivial.
% 54.60/54.87 apply (zenon_or_s _ _ zenon_H314); [ zenon_intro zenon_H2b7 | zenon_intro zenon_H315 ].
% 54.60/54.87 apply (zenon_L208_); trivial.
% 54.60/54.87 apply (zenon_or_s _ _ zenon_H315); [ zenon_intro zenon_H2e3 | zenon_intro zenon_H1c3 ].
% 54.60/54.87 apply (zenon_L202_); trivial.
% 54.60/54.87 apply (zenon_or_s _ _ zenon_H23b); [ zenon_intro zenon_H21b | zenon_intro zenon_H23d ].
% 54.60/54.87 apply (zenon_L109_); trivial.
% 54.60/54.87 apply (zenon_or_s _ _ zenon_H23d); [ zenon_intro zenon_H202 | zenon_intro zenon_H23e ].
% 54.60/54.87 apply (zenon_L225_); trivial.
% 54.60/54.87 apply (zenon_or_s _ _ zenon_H23e); [ zenon_intro zenon_H1cb | zenon_intro zenon_H22f ].
% 54.60/54.87 exact (zenon_H1d1 zenon_H1cb).
% 54.60/54.87 apply (zenon_or_s _ _ zenon_H2e7); [ zenon_intro zenon_H2ac | zenon_intro zenon_H2e8 ].
% 54.60/54.87 apply (zenon_L154_); trivial.
% 54.60/54.87 apply (zenon_or_s _ _ zenon_H2e8); [ zenon_intro zenon_H2e3 | zenon_intro zenon_H2e9 ].
% 54.60/54.87 apply (zenon_L209_); trivial.
% 54.60/54.87 apply (zenon_or_s _ _ zenon_H2e9); [ zenon_intro zenon_H1d3 | zenon_intro zenon_H235 ].
% 54.60/54.87 apply (zenon_or_s _ _ zenon_H328); [ zenon_intro zenon_H19b | zenon_intro zenon_H329 ].
% 54.60/54.87 exact (zenon_H25f zenon_H19b).
% 54.60/54.87 apply (zenon_or_s _ _ zenon_H329); [ zenon_intro zenon_H2ef | zenon_intro zenon_H32a ].
% 54.60/54.87 apply (zenon_L213_); trivial.
% 54.60/54.87 apply (zenon_or_s _ _ zenon_H32a); [ zenon_intro zenon_H31b | zenon_intro zenon_H24 ].
% 54.60/54.87 apply (zenon_L217_); trivial.
% 54.60/54.87 apply (zenon_L4_); trivial.
% 54.60/54.87 apply (zenon_L118_); trivial.
% 54.60/54.87 apply (zenon_L79_); trivial.
% 54.60/54.87 (* end of lemma zenon_L227_ *)
% 54.60/54.87 assert (zenon_L228_ : (~((op1 (e10) (e10)) = (e10))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> ((e10) = (op1 (e11) (e11))) -> ((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> ((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> ((op1 (e12) (op1 (e12) (e12))) = (e12)) -> (((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e12) (e11)) = (e13))))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e11) (e10)) = (e11))/\(((op1 (e10) (e11)) = (e11))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11))))/\(((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12))))/\((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13))))))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e11) (e11)) = (e12))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e13) (e13)) = (e12))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e12) (e12)) = (e12))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> ((op1 (e12) (op1 (e12) (e11))) = (e11)) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> ((op1 (e12) (op1 (e12) (e13))) = (e13)) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> ((e12) = (op1 (op1 (op1 (e11) (e11)) (op1 (e11) (e11))) (op1 (e11) (e11)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> ((op1 (e10) (e11)) = (e11)) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((e12) = (e13))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> False).
% 54.60/54.87 do 0 intro. intros zenon_H146 zenon_H19d zenon_H13 zenon_H25d zenon_H1e zenon_H1a0 zenon_H15a zenon_H15 zenon_H316 zenon_H313 zenon_H2e7 zenon_H30e zenon_H17 zenon_H2d9 zenon_H204 zenon_H2d1 zenon_H2cc zenon_H30b zenon_H301 zenon_H209 zenon_H18e zenon_H1d8 zenon_H259 zenon_H2a3 zenon_H321 zenon_H2c2 zenon_H1f4 zenon_H322 zenon_H2e6 zenon_H2e2 zenon_H325 zenon_H1b9 zenon_H186 zenon_H185 zenon_H179 zenon_H21a zenon_H1d1 zenon_H1da zenon_H25 zenon_H328 zenon_H2b9 zenon_H2ee zenon_H2c0 zenon_H2f8 zenon_H2c7 zenon_H2f6 zenon_H155 zenon_H172 zenon_H1fe zenon_H1fd zenon_H18a zenon_H2fb zenon_H2fd zenon_H2ad zenon_H23b zenon_H1cc zenon_H236 zenon_H246.
% 54.60/54.87 apply (zenon_or_s _ _ zenon_H25d); [ zenon_intro zenon_H25f | zenon_intro zenon_H1a1 ].
% 54.60/54.87 apply (zenon_or_s _ _ zenon_H246); [ zenon_intro zenon_H145 | zenon_intro zenon_H260 ].
% 54.60/54.87 exact (zenon_H146 zenon_H145).
% 54.60/54.87 apply (zenon_or_s _ _ zenon_H260); [ zenon_intro zenon_H166 | zenon_intro zenon_H261 ].
% 54.60/54.87 apply (zenon_L78_); trivial.
% 54.60/54.87 apply (zenon_or_s _ _ zenon_H261); [ zenon_intro zenon_H18f | zenon_intro zenon_H19b ].
% 54.60/54.87 apply (zenon_L227_); trivial.
% 54.60/54.87 exact (zenon_H25f zenon_H19b).
% 54.60/54.87 apply (zenon_L79_); trivial.
% 54.60/54.87 (* end of lemma zenon_L228_ *)
% 54.60/54.87 assert (zenon_L229_ : (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> ((e10) = (op1 (e11) (e11))) -> ((op1 (e11) (e11)) = (e13)) -> ((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) -> (~((op1 (e13) (e13)) = (e13))) -> False).
% 54.60/54.87 do 0 intro. intros zenon_H32b zenon_H25 zenon_H30e zenon_H2b9 zenon_H13 zenon_H2b7 zenon_H15 zenon_H1c0.
% 54.60/54.87 apply (zenon_or_s _ _ zenon_H32b); [ zenon_intro zenon_H24 | zenon_intro zenon_H32c ].
% 54.60/54.87 apply (zenon_L4_); trivial.
% 54.60/54.87 apply (zenon_or_s _ _ zenon_H32c); [ zenon_intro zenon_H234 | zenon_intro zenon_H32d ].
% 54.60/54.87 apply (zenon_L208_); trivial.
% 54.60/54.87 apply (zenon_or_s _ _ zenon_H32d); [ zenon_intro zenon_H235 | zenon_intro zenon_H1c4 ].
% 54.60/54.87 apply (zenon_L163_); trivial.
% 54.60/54.87 exact (zenon_H1c0 zenon_H1c4).
% 54.60/54.87 (* end of lemma zenon_L229_ *)
% 54.60/54.87 assert (zenon_L230_ : (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> ((op1 (e12) (op1 (e12) (e11))) = (e11)) -> ((op1 (e12) (e11)) = (e11)) -> ((op1 (e13) (e11)) = (e11)) -> False).
% 54.60/54.87 do 0 intro. intros zenon_H2f6 zenon_H2ee zenon_H306 zenon_H1ff.
% 54.60/54.87 cut (((op1 (e12) (op1 (e12) (e11))) = (e11)) = ((op1 (e12) (e11)) = (op1 (e13) (e11)))).
% 54.60/54.87 intro zenon_D_pnotp.
% 54.60/54.87 apply zenon_H2f6.
% 54.60/54.87 rewrite <- zenon_D_pnotp.
% 54.60/54.87 exact zenon_H2ee.
% 54.60/54.87 cut (((e11) = (op1 (e13) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H200].
% 54.60/54.87 cut (((op1 (e12) (op1 (e12) (e11))) = (op1 (e12) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H30a].
% 54.60/54.87 congruence.
% 54.60/54.87 elim (classic ((op1 (e12) (e11)) = (op1 (e12) (e11)))); [ zenon_intro zenon_H2da | zenon_intro zenon_H2db ].
% 54.60/54.87 cut (((op1 (e12) (e11)) = (op1 (e12) (e11))) = ((op1 (e12) (op1 (e12) (e11))) = (op1 (e12) (e11)))).
% 54.60/54.87 intro zenon_D_pnotp.
% 54.60/54.87 apply zenon_H30a.
% 54.60/54.87 rewrite <- zenon_D_pnotp.
% 54.60/54.87 exact zenon_H2da.
% 54.60/54.87 cut (((op1 (e12) (e11)) = (op1 (e12) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H2db].
% 54.60/54.87 cut (((op1 (e12) (e11)) = (op1 (e12) (op1 (e12) (e11))))); [idtac | apply NNPP; zenon_intro zenon_H305].
% 54.60/54.87 congruence.
% 54.60/54.87 apply (zenon_L204_); trivial.
% 54.60/54.87 apply zenon_H2db. apply refl_equal.
% 54.60/54.87 apply zenon_H2db. apply refl_equal.
% 54.60/54.87 apply zenon_H200. apply sym_equal. exact zenon_H1ff.
% 54.60/54.87 (* end of lemma zenon_L230_ *)
% 54.60/54.87 assert (zenon_L231_ : (((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e11)) = (e12))\/((op1 (e10) (e11)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> ((op1 (e13) (e11)) = (e11)) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> ((op1 (e10) (e13)) = (e12)) -> ((op1 (e12) (op1 (e12) (e12))) = (e12)) -> (~((op1 (e12) (e12)) = (e12))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> ((e12) = (op1 (op1 (op1 (e11) (e11)) (op1 (e11) (e11))) (op1 (e11) (e11)))) -> (~((op1 (e13) (e13)) = (e12))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> ((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) -> ((e10) = (op1 (e11) (e11))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> False).
% 54.60/54.87 do 0 intro. intros zenon_H206 zenon_H19d zenon_H1ff zenon_H1fd zenon_H2b9 zenon_H31b zenon_H2cc zenon_H1d1 zenon_H204 zenon_H186 zenon_H21a zenon_H172 zenon_H179 zenon_H155 zenon_H185 zenon_H1da zenon_H15 zenon_H13 zenon_H17.
% 54.60/54.87 apply (zenon_or_s _ _ zenon_H206); [ zenon_intro zenon_H166 | zenon_intro zenon_H207 ].
% 54.60/54.87 apply (zenon_L78_); trivial.
% 54.60/54.87 apply (zenon_or_s _ _ zenon_H207); [ zenon_intro zenon_H1fe | zenon_intro zenon_H208 ].
% 54.60/54.87 apply (zenon_L100_); trivial.
% 54.60/54.87 apply (zenon_or_s _ _ zenon_H208); [ zenon_intro zenon_H1dc | zenon_intro zenon_H16 ].
% 54.60/54.87 apply (zenon_L218_); trivial.
% 54.60/54.87 apply (zenon_L2_); trivial.
% 54.60/54.87 (* end of lemma zenon_L231_ *)
% 54.60/54.87 assert (zenon_L232_ : (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> ((op1 (e13) (e10)) = (e12)) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> ((op1 (e10) (e11)) = (e12)) -> (~((op1 (e12) (e12)) = (e12))) -> ((op1 (e12) (op1 (e12) (e12))) = (e12)) -> ((op1 (e11) (e13)) = (e12)) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> False).
% 54.60/54.87 do 0 intro. intros zenon_H1da zenon_H16b zenon_H21a zenon_H204 zenon_H1dc zenon_H1d1 zenon_H2cc zenon_H1ec zenon_H2c0.
% 54.60/54.87 apply (zenon_or_s _ _ zenon_H1da); [ zenon_intro zenon_H1e0 | zenon_intro zenon_H1df ].
% 54.60/54.87 apply (zenon_L175_); trivial.
% 54.60/54.87 apply (zenon_or_s _ _ zenon_H1df); [ zenon_intro zenon_H1e2 | zenon_intro zenon_H1e1 ].
% 54.60/54.87 apply (zenon_L216_); trivial.
% 54.60/54.87 apply (zenon_or_s _ _ zenon_H1e1); [ zenon_intro zenon_H1cb | zenon_intro zenon_H1d3 ].
% 54.60/54.87 exact (zenon_H1d1 zenon_H1cb).
% 54.60/54.87 apply (zenon_L207_); trivial.
% 54.60/54.87 (* end of lemma zenon_L232_ *)
% 54.60/54.87 assert (zenon_L233_ : (((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e11)) = (e12))\/((op1 (e10) (e11)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> ((op1 (e13) (e11)) = (e11)) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> ((op1 (e11) (e13)) = (e12)) -> ((op1 (e12) (op1 (e12) (e12))) = (e12)) -> (~((op1 (e12) (e12)) = (e12))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> ((op1 (e13) (e10)) = (e12)) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> ((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) -> ((e10) = (op1 (e11) (e11))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> False).
% 54.60/54.87 do 0 intro. intros zenon_H206 zenon_H19d zenon_H1ff zenon_H1fd zenon_H2c0 zenon_H1ec zenon_H2cc zenon_H1d1 zenon_H204 zenon_H21a zenon_H16b zenon_H1da zenon_H15 zenon_H13 zenon_H17.
% 54.60/54.87 apply (zenon_or_s _ _ zenon_H206); [ zenon_intro zenon_H166 | zenon_intro zenon_H207 ].
% 54.60/54.87 apply (zenon_L78_); trivial.
% 54.60/54.87 apply (zenon_or_s _ _ zenon_H207); [ zenon_intro zenon_H1fe | zenon_intro zenon_H208 ].
% 54.60/54.87 apply (zenon_L100_); trivial.
% 54.60/54.87 apply (zenon_or_s _ _ zenon_H208); [ zenon_intro zenon_H1dc | zenon_intro zenon_H16 ].
% 54.60/54.87 apply (zenon_L232_); trivial.
% 54.60/54.87 apply (zenon_L2_); trivial.
% 54.60/54.87 (* end of lemma zenon_L233_ *)
% 54.60/54.87 assert (zenon_L234_ : (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> ((e12) = (op1 (op1 (op1 (e11) (e11)) (op1 (e11) (e11))) (op1 (e11) (e11)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> ((e10) = (op1 (e11) (e11))) -> ((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> ((op1 (e13) (e10)) = (e12)) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e12) (e12)) = (e12))) -> ((op1 (e12) (op1 (e12) (e12))) = (e12)) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> ((op1 (e13) (e11)) = (e11)) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e11)) = (e12))\/((op1 (e10) (e11)) = (e13))))) -> (~((e12) = (e13))) -> ((op1 (e12) (e13)) = (e13)) -> (~((op1 (e13) (e13)) = (e12))) -> False).
% 54.60/54.87 do 0 intro. intros zenon_H32e zenon_H155 zenon_H179 zenon_H172 zenon_H186 zenon_H2b9 zenon_H17 zenon_H13 zenon_H15 zenon_H1da zenon_H16b zenon_H21a zenon_H204 zenon_H1d1 zenon_H2cc zenon_H2c0 zenon_H1fd zenon_H1ff zenon_H19d zenon_H206 zenon_H236 zenon_H235 zenon_H185.
% 54.60/54.87 apply (zenon_or_s _ _ zenon_H32e); [ zenon_intro zenon_H31b | zenon_intro zenon_H32f ].
% 54.60/54.87 apply (zenon_L231_); trivial.
% 54.60/54.87 apply (zenon_or_s _ _ zenon_H32f); [ zenon_intro zenon_H1ec | zenon_intro zenon_H330 ].
% 54.60/54.87 apply (zenon_L233_); trivial.
% 54.60/54.87 apply (zenon_or_s _ _ zenon_H330); [ zenon_intro zenon_H22f | zenon_intro zenon_H17f ].
% 54.60/54.87 apply (zenon_L118_); trivial.
% 54.60/54.87 exact (zenon_H185 zenon_H17f).
% 54.60/54.87 (* end of lemma zenon_L234_ *)
% 54.60/54.87 assert (zenon_L235_ : (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> ((op1 (e12) (op1 (e12) (e11))) = (e11)) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> ((op1 (e12) (op1 (e12) (e13))) = (e13)) -> ((op1 (e13) (e11)) = (e13)) -> (((op1 (e10) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> ((op1 (e12) (e11)) = (e12)) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> ((e12) = (op1 (op1 (op1 (e11) (e11)) (op1 (e11) (e11))) (op1 (e11) (e11)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> ((e10) = (op1 (e11) (e11))) -> ((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> ((op1 (e13) (e10)) = (e12)) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e12) (e12)) = (e12))) -> ((op1 (e12) (op1 (e12) (e12))) = (e12)) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> ((op1 (e13) (e11)) = (e11)) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e11)) = (e12))\/((op1 (e10) (e11)) = (e13))))) -> (~((e12) = (e13))) -> (~((op1 (e13) (e13)) = (e12))) -> False).
% 54.60/54.87 do 0 intro. intros zenon_H2e7 zenon_H2ad zenon_H2ee zenon_H2fb zenon_H2f6 zenon_H2c7 zenon_H1c3 zenon_H2fd zenon_H2d1 zenon_H202 zenon_H32e zenon_H155 zenon_H179 zenon_H172 zenon_H186 zenon_H2b9 zenon_H17 zenon_H13 zenon_H15 zenon_H1da zenon_H16b zenon_H21a zenon_H204 zenon_H1d1 zenon_H2cc zenon_H2c0 zenon_H1fd zenon_H1ff zenon_H19d zenon_H206 zenon_H236 zenon_H185.
% 54.60/54.87 apply (zenon_or_s _ _ zenon_H2e7); [ zenon_intro zenon_H2ac | zenon_intro zenon_H2e8 ].
% 54.60/54.87 apply (zenon_L154_); trivial.
% 54.60/54.87 apply (zenon_or_s _ _ zenon_H2e8); [ zenon_intro zenon_H2e3 | zenon_intro zenon_H2e9 ].
% 54.60/54.87 apply (zenon_L209_); trivial.
% 54.60/54.87 apply (zenon_or_s _ _ zenon_H2e9); [ zenon_intro zenon_H1d3 | zenon_intro zenon_H235 ].
% 54.60/54.87 apply (zenon_L178_); trivial.
% 54.60/54.87 apply (zenon_L234_); trivial.
% 54.60/54.87 (* end of lemma zenon_L235_ *)
% 54.60/54.87 assert (zenon_L236_ : (((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e12) (e11)) = (e13))))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e13) (e13)) = (e12))) -> (~((e12) = (e13))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e11)) = (e12))\/((op1 (e10) (e11)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> ((op1 (e13) (e11)) = (e11)) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> ((op1 (e12) (op1 (e12) (e12))) = (e12)) -> (~((op1 (e12) (e12)) = (e12))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> ((op1 (e13) (e10)) = (e12)) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> ((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) -> ((e10) = (op1 (e11) (e11))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> ((e12) = (op1 (op1 (op1 (e11) (e11)) (op1 (e11) (e11))) (op1 (e11) (e11)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (((op1 (e10) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> ((op1 (e13) (e11)) = (e13)) -> ((op1 (e12) (op1 (e12) (e13))) = (e13)) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e12) (op1 (e12) (e11))) = (e11)) -> False).
% 54.60/54.87 do 0 intro. intros zenon_H30b zenon_H2d9 zenon_H185 zenon_H236 zenon_H206 zenon_H19d zenon_H1ff zenon_H1fd zenon_H2cc zenon_H1d1 zenon_H204 zenon_H21a zenon_H16b zenon_H1da zenon_H15 zenon_H13 zenon_H17 zenon_H186 zenon_H172 zenon_H179 zenon_H155 zenon_H32e zenon_H2d1 zenon_H2ad zenon_H2e7 zenon_H2fd zenon_H2b9 zenon_H2c0 zenon_H1c3 zenon_H2c7 zenon_H2f6 zenon_H2fb zenon_H2ee.
% 54.60/54.87 apply (zenon_or_s _ _ zenon_H30b); [ zenon_intro zenon_H2d8 | zenon_intro zenon_H30c ].
% 54.60/54.87 apply (zenon_L187_); trivial.
% 54.60/54.87 apply (zenon_or_s _ _ zenon_H30c); [ zenon_intro zenon_H306 | zenon_intro zenon_H30d ].
% 54.60/54.87 apply (zenon_L230_); trivial.
% 54.60/54.87 apply (zenon_or_s _ _ zenon_H30d); [ zenon_intro zenon_H202 | zenon_intro zenon_H2e3 ].
% 54.60/54.87 apply (zenon_L235_); trivial.
% 54.60/54.87 apply (zenon_L209_); trivial.
% 54.60/54.87 (* end of lemma zenon_L236_ *)
% 54.60/54.87 assert (zenon_L237_ : ((op1 (e12) (op1 (e12) (e11))) = (e11)) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> ((op1 (e12) (op1 (e12) (e13))) = (e13)) -> ((op1 (e13) (e11)) = (e13)) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e12) (e12)) = (e12))) -> ((op1 (e12) (op1 (e12) (e12))) = (e12)) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> ((op1 (e13) (e11)) = (e11)) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e11)) = (e12))\/((op1 (e10) (e11)) = (e13))))) -> (~((e12) = (e13))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e12) (e11)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> ((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) -> ((e10) = (op1 (e11) (e11))) -> ((e12) = (op1 (op1 (op1 (e11) (e11)) (op1 (e11) (e11))) (op1 (e11) (e11)))) -> (~((op1 (e13) (e13)) = (e12))) -> False).
% 54.60/54.87 do 0 intro. intros zenon_H2ee zenon_H2fb zenon_H2f6 zenon_H2c7 zenon_H1c3 zenon_H2c0 zenon_H2b9 zenon_H2fd zenon_H2e7 zenon_H2ad zenon_H2d1 zenon_H32e zenon_H186 zenon_H17 zenon_H1da zenon_H21a zenon_H204 zenon_H1d1 zenon_H2cc zenon_H1fd zenon_H1ff zenon_H19d zenon_H206 zenon_H236 zenon_H2d9 zenon_H30b zenon_H172 zenon_H179 zenon_H15 zenon_H13 zenon_H155 zenon_H185.
% 54.60/54.87 apply (zenon_or_s _ _ zenon_H186); [ zenon_intro zenon_H16b | zenon_intro zenon_H187 ].
% 54.60/54.87 apply (zenon_L236_); trivial.
% 54.60/54.87 apply (zenon_or_s _ _ zenon_H187); [ zenon_intro zenon_H171 | zenon_intro zenon_H188 ].
% 54.60/54.87 apply (zenon_L69_); trivial.
% 54.60/54.87 apply (zenon_or_s _ _ zenon_H188); [ zenon_intro zenon_H178 | zenon_intro zenon_H17f ].
% 54.60/54.87 apply (zenon_L70_); trivial.
% 54.60/54.87 exact (zenon_H185 zenon_H17f).
% 54.60/54.87 (* end of lemma zenon_L237_ *)
% 54.60/54.87 assert (zenon_L238_ : (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e13) (e13)) = (e13))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> ((op1 (e11) (e13)) = (e11)) -> ((op1 (e12) (op1 (e12) (e11))) = (e11)) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> ((op1 (e12) (op1 (e12) (e13))) = (e13)) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e12) (e12)) = (e12))) -> ((op1 (e12) (op1 (e12) (e12))) = (e12)) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> ((op1 (e13) (e11)) = (e11)) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e11)) = (e12))\/((op1 (e10) (e11)) = (e13))))) -> (~((e12) = (e13))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e12) (e11)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> ((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) -> ((e10) = (op1 (e11) (e11))) -> ((e12) = (op1 (op1 (op1 (e11) (e11)) (op1 (e11) (e11))) (op1 (e11) (e11)))) -> (~((op1 (e13) (e13)) = (e12))) -> False).
% 54.60/54.87 do 0 intro. intros zenon_H313 zenon_H1c0 zenon_H30e zenon_H25 zenon_H32b zenon_H214 zenon_H2ee zenon_H2fb zenon_H2f6 zenon_H2c7 zenon_H2c0 zenon_H2b9 zenon_H2fd zenon_H2e7 zenon_H2ad zenon_H2d1 zenon_H32e zenon_H186 zenon_H17 zenon_H1da zenon_H21a zenon_H204 zenon_H1d1 zenon_H2cc zenon_H1fd zenon_H1ff zenon_H19d zenon_H206 zenon_H236 zenon_H2d9 zenon_H30b zenon_H172 zenon_H179 zenon_H15 zenon_H13 zenon_H155 zenon_H185.
% 54.60/54.87 apply (zenon_or_s _ _ zenon_H313); [ zenon_intro zenon_H16 | zenon_intro zenon_H314 ].
% 54.60/54.87 apply (zenon_L2_); trivial.
% 54.60/54.87 apply (zenon_or_s _ _ zenon_H314); [ zenon_intro zenon_H2b7 | zenon_intro zenon_H315 ].
% 54.60/54.87 apply (zenon_L229_); trivial.
% 54.60/54.87 apply (zenon_or_s _ _ zenon_H315); [ zenon_intro zenon_H2e3 | zenon_intro zenon_H1c3 ].
% 54.60/54.87 apply (zenon_L197_); trivial.
% 54.60/54.87 apply (zenon_L237_); trivial.
% 54.60/54.87 (* end of lemma zenon_L238_ *)
% 54.60/54.87 assert (zenon_L239_ : (((op1 (e11) (e13)) = (e11))/\(((op1 (e13) (e11)) = (e11))/\(((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e13) (e13)) = (e10))))/\(((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11))))/\(((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e13) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13))))))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> ((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) -> ((e10) = (op1 (e11) (e11))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> ((op1 (e12) (op1 (e12) (e11))) = (e11)) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e11)) = (e12))\/((op1 (e10) (e11)) = (e13))))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e13) (e13)) = (e12))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> ((e12) = (op1 (op1 (op1 (e11) (e11)) (op1 (e11) (e11))) (op1 (e11) (e11)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e12) (e12)) = (e12))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (~((e12) = (e13))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> ((op1 (e12) (op1 (e12) (e12))) = (e12)) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> ((op1 (e12) (op1 (e12) (e13))) = (e13)) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e12) (e11)) = (e13))))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> False).
% 54.60/54.87 do 0 intro. intros zenon_H212 zenon_H17 zenon_H15 zenon_H13 zenon_H32b zenon_H2b9 zenon_H30e zenon_H25 zenon_H2c0 zenon_H2ee zenon_H2d9 zenon_H2f6 zenon_H2e7 zenon_H206 zenon_H186 zenon_H185 zenon_H179 zenon_H155 zenon_H172 zenon_H21a zenon_H204 zenon_H1d1 zenon_H1da zenon_H1fd zenon_H19d zenon_H236 zenon_H32e zenon_H2cc zenon_H2d1 zenon_H2c7 zenon_H2fb zenon_H2fd zenon_H2ad zenon_H30b zenon_H313.
% 54.60/54.87 apply (zenon_and_s _ _ zenon_H212). zenon_intro zenon_H214. zenon_intro zenon_H213.
% 54.60/54.87 apply (zenon_and_s _ _ zenon_H213). zenon_intro zenon_H1ff. zenon_intro zenon_H19c.
% 54.60/54.87 apply (zenon_and_s _ _ zenon_H19c). zenon_intro zenon_H216. zenon_intro zenon_H215.
% 54.60/54.87 apply (zenon_and_s _ _ zenon_H215). zenon_intro zenon_H218. zenon_intro zenon_H217.
% 54.60/54.87 apply (zenon_and_s _ _ zenon_H217). zenon_intro zenon_H219. zenon_intro zenon_H211.
% 54.60/54.87 apply (zenon_or_s _ _ zenon_H211); [ zenon_intro zenon_H1c0 | zenon_intro zenon_H1c0 ].
% 54.60/54.87 apply (zenon_L238_); trivial.
% 54.60/54.87 apply (zenon_L238_); trivial.
% 54.60/54.87 (* end of lemma zenon_L239_ *)
% 54.60/54.87 assert (zenon_L240_ : (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> ((op1 (e13) (e10)) = (e12)) -> ((op1 (e12) (op1 (e12) (e12))) = (e12)) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e12) (e12)) = (e11))) -> (~((op1 (e12) (e12)) = (e12))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> ((op1 (e12) (op1 (e12) (e13))) = (e13)) -> ((op1 (e12) (e13)) = (e11)) -> False).
% 54.60/54.87 do 0 intro. intros zenon_H1da zenon_H16b zenon_H2cc zenon_H21a zenon_H23f zenon_H1d1 zenon_H321 zenon_H2c7 zenon_H2f4.
% 54.60/54.87 apply (zenon_or_s _ _ zenon_H1da); [ zenon_intro zenon_H1e0 | zenon_intro zenon_H1df ].
% 54.60/54.87 apply (zenon_L175_); trivial.
% 54.60/54.87 apply (zenon_or_s _ _ zenon_H1df); [ zenon_intro zenon_H1e2 | zenon_intro zenon_H1e1 ].
% 54.60/54.87 exact (zenon_H23f zenon_H1e2).
% 54.60/54.87 apply (zenon_or_s _ _ zenon_H1e1); [ zenon_intro zenon_H1cb | zenon_intro zenon_H1d3 ].
% 54.60/54.87 exact (zenon_H1d1 zenon_H1cb).
% 54.60/54.87 apply (zenon_L220_); trivial.
% 54.60/54.87 (* end of lemma zenon_L240_ *)
% 54.60/54.87 assert (zenon_L241_ : (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> ((op1 (e12) (e13)) = (e11)) -> ((op1 (e12) (op1 (e12) (e13))) = (e13)) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e12)) = (e12))) -> (~((op1 (e12) (e12)) = (e11))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> ((op1 (e12) (op1 (e12) (e12))) = (e12)) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> ((e12) = (op1 (op1 (op1 (e11) (e11)) (op1 (e11) (e11))) (op1 (e11) (e11)))) -> ((e10) = (op1 (e11) (e11))) -> ((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> False).
% 54.60/54.87 do 0 intro. intros zenon_H186 zenon_H2f4 zenon_H2c7 zenon_H321 zenon_H1d1 zenon_H23f zenon_H21a zenon_H2cc zenon_H1da zenon_H172 zenon_H179 zenon_H155 zenon_H13 zenon_H15 zenon_H180.
% 54.60/54.87 apply (zenon_or_s _ _ zenon_H186); [ zenon_intro zenon_H16b | zenon_intro zenon_H187 ].
% 54.60/54.87 apply (zenon_L240_); trivial.
% 54.60/54.87 apply (zenon_or_s _ _ zenon_H187); [ zenon_intro zenon_H171 | zenon_intro zenon_H188 ].
% 54.60/54.87 apply (zenon_L69_); trivial.
% 54.60/54.87 apply (zenon_or_s _ _ zenon_H188); [ zenon_intro zenon_H178 | zenon_intro zenon_H17f ].
% 54.60/54.87 apply (zenon_L70_); trivial.
% 54.60/54.87 apply (zenon_L71_); trivial.
% 54.60/54.87 (* end of lemma zenon_L241_ *)
% 54.60/54.87 assert (zenon_L242_ : (((op1 (e10) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> ((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) -> ((e10) = (op1 (e11) (e11))) -> ((e12) = (op1 (op1 (op1 (e11) (e11)) (op1 (e11) (e11))) (op1 (e11) (e11)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> ((op1 (e12) (op1 (e12) (e12))) = (e12)) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e12) (e12)) = (e11))) -> (~((op1 (e12) (e12)) = (e12))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> ((op1 (e12) (op1 (e12) (e13))) = (e13)) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e12) (op1 (e12) (e11))) = (e11)) -> ((op1 (e12) (e11)) = (e13)) -> False).
% 54.60/54.87 do 0 intro. intros zenon_H2fd zenon_H2b9 zenon_H2c0 zenon_H180 zenon_H15 zenon_H13 zenon_H155 zenon_H179 zenon_H172 zenon_H1da zenon_H2cc zenon_H21a zenon_H23f zenon_H1d1 zenon_H321 zenon_H2c7 zenon_H186 zenon_H2fb zenon_H2ee zenon_H2e3.
% 54.60/54.87 apply (zenon_or_s _ _ zenon_H2fd); [ zenon_intro zenon_H2ef | zenon_intro zenon_H2fe ].
% 54.60/54.87 apply (zenon_L196_); trivial.
% 54.60/54.87 apply (zenon_or_s _ _ zenon_H2fe); [ zenon_intro zenon_H214 | zenon_intro zenon_H2ff ].
% 54.60/54.87 apply (zenon_L197_); trivial.
% 54.60/54.87 apply (zenon_or_s _ _ zenon_H2ff); [ zenon_intro zenon_H2f4 | zenon_intro zenon_H210 ].
% 54.60/54.87 apply (zenon_L241_); trivial.
% 54.60/54.87 apply (zenon_L201_); trivial.
% 54.60/54.87 (* end of lemma zenon_L242_ *)
% 54.60/54.87 assert (zenon_L243_ : (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> ((op1 (e10) (e13)) = (e11)) -> ((op1 (e12) (op1 (e12) (e11))) = (e11)) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> ((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) -> ((e10) = (op1 (e11) (e11))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> ((op1 (e13) (e12)) = (e13)) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e12) (op1 (e12) (e13))) = (e13)) -> ((op1 (e11) (e13)) = (e13)) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> False).
% 54.60/54.87 do 0 intro. intros zenon_H313 zenon_H17 zenon_H30e zenon_H2b9 zenon_H2ef zenon_H2ee zenon_H322 zenon_H2e6 zenon_H2a3 zenon_H2e2 zenon_H15 zenon_H13 zenon_H2ad zenon_H2e7 zenon_H2f6 zenon_H1ba zenon_H1d8 zenon_H2c7 zenon_H234 zenon_H2c0.
% 54.60/54.87 apply (zenon_or_s _ _ zenon_H313); [ zenon_intro zenon_H16 | zenon_intro zenon_H314 ].
% 54.60/54.87 apply (zenon_L2_); trivial.
% 54.60/54.87 apply (zenon_or_s _ _ zenon_H314); [ zenon_intro zenon_H2b7 | zenon_intro zenon_H315 ].
% 54.60/54.87 apply (zenon_L208_); trivial.
% 54.60/54.87 apply (zenon_or_s _ _ zenon_H315); [ zenon_intro zenon_H2e3 | zenon_intro zenon_H1c3 ].
% 54.60/54.87 apply (zenon_L196_); trivial.
% 54.60/54.87 apply (zenon_L223_); trivial.
% 54.60/54.87 (* end of lemma zenon_L243_ *)
% 54.60/54.87 assert (zenon_L244_ : ((~((op1 (e12) (e11)) = (e12)))\/(~((op1 (e12) (e12)) = (e11)))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> ((op1 (e12) (op1 (e12) (e11))) = (e11)) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> ((op1 (e12) (op1 (e12) (e12))) = (e12)) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> ((e12) = (op1 (op1 (op1 (e11) (e11)) (op1 (e11) (e11))) (op1 (e11) (e11)))) -> ((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) -> ((e10) = (op1 (e11) (e11))) -> (~((op1 (e12) (e12)) = (e12))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e12) (op1 (e12) (e13))) = (e13)) -> ((op1 (e13) (e12)) = (e13)) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> False).
% 54.60/54.87 do 0 intro. intros zenon_H22b zenon_H15a zenon_H2e7 zenon_H2a3 zenon_H2c2 zenon_H1f4 zenon_H322 zenon_H2b9 zenon_H2ee zenon_H2c0 zenon_H186 zenon_H180 zenon_H179 zenon_H172 zenon_H2cc zenon_H321 zenon_H1da zenon_H2fb zenon_H2fd zenon_H2ad zenon_H313 zenon_H2e6 zenon_H2e2 zenon_H2f6 zenon_H30e zenon_H17 zenon_H21a zenon_H155 zenon_H15 zenon_H13 zenon_H1d1 zenon_H1d8 zenon_H2c7 zenon_H1ba zenon_H23b.
% 54.60/54.87 apply (zenon_or_s _ _ zenon_H22b); [ zenon_intro zenon_H23c | zenon_intro zenon_H23f ].
% 54.60/54.87 apply (zenon_L173_); trivial.
% 54.60/54.87 apply (zenon_or_s _ _ zenon_H2c2); [ zenon_intro zenon_H159 | zenon_intro zenon_H2c3 ].
% 54.60/54.87 apply (zenon_L64_); trivial.
% 54.60/54.87 apply (zenon_or_s _ _ zenon_H2c3); [ zenon_intro zenon_H2b7 | zenon_intro zenon_H2c4 ].
% 54.60/54.87 apply (zenon_or_s _ _ zenon_H2e7); [ zenon_intro zenon_H2ac | zenon_intro zenon_H2e8 ].
% 54.60/54.87 apply (zenon_L154_); trivial.
% 54.60/54.87 apply (zenon_or_s _ _ zenon_H2e8); [ zenon_intro zenon_H2e3 | zenon_intro zenon_H2e9 ].
% 54.60/54.87 apply (zenon_L242_); trivial.
% 54.60/54.87 apply (zenon_or_s _ _ zenon_H2e9); [ zenon_intro zenon_H1d3 | zenon_intro zenon_H235 ].
% 54.60/54.87 apply (zenon_L222_); trivial.
% 54.60/54.87 apply (zenon_L163_); trivial.
% 54.60/54.87 apply (zenon_or_s _ _ zenon_H2c4); [ zenon_intro zenon_H1f3 | zenon_intro zenon_H234 ].
% 54.60/54.87 apply (zenon_L96_); trivial.
% 54.60/54.87 apply (zenon_or_s _ _ zenon_H313); [ zenon_intro zenon_H16 | zenon_intro zenon_H314 ].
% 54.60/54.87 apply (zenon_L2_); trivial.
% 54.60/54.87 apply (zenon_or_s _ _ zenon_H314); [ zenon_intro zenon_H2b7 | zenon_intro zenon_H315 ].
% 54.60/54.87 apply (zenon_L208_); trivial.
% 54.60/54.87 apply (zenon_or_s _ _ zenon_H315); [ zenon_intro zenon_H2e3 | zenon_intro zenon_H1c3 ].
% 54.60/54.87 apply (zenon_or_s _ _ zenon_H2fd); [ zenon_intro zenon_H2ef | zenon_intro zenon_H2fe ].
% 54.60/54.87 apply (zenon_L243_); trivial.
% 54.60/54.87 apply (zenon_or_s _ _ zenon_H2fe); [ zenon_intro zenon_H214 | zenon_intro zenon_H2ff ].
% 54.60/54.87 apply (zenon_L197_); trivial.
% 54.60/54.87 apply (zenon_or_s _ _ zenon_H2ff); [ zenon_intro zenon_H2f4 | zenon_intro zenon_H210 ].
% 54.60/54.87 apply (zenon_L241_); trivial.
% 54.60/54.87 apply (zenon_L201_); trivial.
% 54.60/54.87 apply (zenon_L223_); trivial.
% 54.60/54.87 (* end of lemma zenon_L244_ *)
% 54.60/54.87 assert (zenon_L245_ : (((op1 (e13) (e12)) = (e13))/\(((op1 (e12) (e13)) = (e13))/\(((~((op1 (e12) (e10)) = (e12)))\/(~((op1 (e12) (e12)) = (e10))))/\(((~((op1 (e12) (e11)) = (e12)))\/(~((op1 (e12) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13))))))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> ((op1 (e12) (op1 (e12) (e11))) = (e11)) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> ((op1 (e12) (op1 (e12) (e12))) = (e12)) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> ((e12) = (op1 (op1 (op1 (e11) (e11)) (op1 (e11) (e11))) (op1 (e11) (e11)))) -> ((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) -> ((e10) = (op1 (e11) (e11))) -> (~((op1 (e12) (e12)) = (e12))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e12) (op1 (e12) (e13))) = (e13)) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> False).
% 54.60/54.87 do 0 intro. intros zenon_H240 zenon_H15a zenon_H2e7 zenon_H2a3 zenon_H2c2 zenon_H1f4 zenon_H322 zenon_H2b9 zenon_H2ee zenon_H2c0 zenon_H186 zenon_H180 zenon_H179 zenon_H172 zenon_H2cc zenon_H321 zenon_H1da zenon_H2fb zenon_H2fd zenon_H2ad zenon_H313 zenon_H2e6 zenon_H2e2 zenon_H2f6 zenon_H30e zenon_H17 zenon_H21a zenon_H155 zenon_H15 zenon_H13 zenon_H1d1 zenon_H1d8 zenon_H2c7 zenon_H23b.
% 54.60/54.87 apply (zenon_and_s _ _ zenon_H240). zenon_intro zenon_H1ba. zenon_intro zenon_H241.
% 54.60/54.87 apply (zenon_and_s _ _ zenon_H241). zenon_intro zenon_H235. zenon_intro zenon_H227.
% 54.60/54.87 apply (zenon_and_s _ _ zenon_H227). zenon_intro zenon_H229. zenon_intro zenon_H228.
% 54.60/54.87 apply (zenon_and_s _ _ zenon_H228). zenon_intro zenon_H22b. zenon_intro zenon_H22a.
% 54.60/54.87 apply (zenon_L244_); trivial.
% 54.60/54.87 (* end of lemma zenon_L245_ *)
% 54.60/54.87 assert (zenon_L246_ : (((op1 (e10) (e13)) = (e10))/\(((op1 (e13) (e10)) = (e10))/\(((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e13) (e13)) = (e10))))/\(((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11))))/\(((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e13) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13))))))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> ((op1 (e12) (op1 (e12) (e10))) = (e10)) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> ((e10) = (op1 (e11) (e11))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> ((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) -> ((e12) = (op1 (op1 (op1 (e11) (e11)) (op1 (e11) (e11))) (op1 (e11) (e11)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> ((op1 (e12) (op1 (e12) (e12))) = (e12)) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> ((op1 (e12) (op1 (e12) (e13))) = (e13)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e12) (e13)) = (e10))))) -> ((op1 (e13) (e12)) = (e13)) -> False).
% 54.60/54.87 do 0 intro. intros zenon_H199 zenon_H21a zenon_H2d4 zenon_H2d9 zenon_H13 zenon_H186 zenon_H179 zenon_H15 zenon_H155 zenon_H172 zenon_H2cc zenon_H2e7 zenon_H2e6 zenon_H2a3 zenon_H2c7 zenon_H2e2 zenon_H2ad zenon_H2ea zenon_H1ba.
% 54.60/54.87 apply (zenon_and_s _ _ zenon_H199). zenon_intro zenon_H19b. zenon_intro zenon_H19a.
% 54.60/54.87 apply (zenon_and_s _ _ zenon_H19a). zenon_intro zenon_H16a. zenon_intro zenon_H19c.
% 54.60/54.87 apply (zenon_and_s _ _ zenon_H19c). zenon_intro zenon_H216. zenon_intro zenon_H215.
% 54.60/54.87 apply (zenon_and_s _ _ zenon_H215). zenon_intro zenon_H218. zenon_intro zenon_H217.
% 54.60/54.87 apply (zenon_and_s _ _ zenon_H217). zenon_intro zenon_H219. zenon_intro zenon_H211.
% 54.60/54.87 apply (zenon_or_s _ _ zenon_H219); [ zenon_intro zenon_H1bd | zenon_intro zenon_H185 ].
% 54.60/54.87 exact (zenon_H1bd zenon_H1ba).
% 54.60/54.87 apply (zenon_L193_); trivial.
% 54.60/54.87 (* end of lemma zenon_L246_ *)
% 54.60/54.87 assert (zenon_L247_ : (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> ((op1 (e11) (e13)) = (e11)) -> ((op1 (e12) (op1 (e12) (e11))) = (e11)) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> ((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) -> ((e10) = (op1 (e11) (e11))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> ((op1 (e13) (e12)) = (e13)) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e12) (op1 (e12) (e13))) = (e13)) -> ((op1 (e11) (e13)) = (e13)) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> False).
% 54.60/54.87 do 0 intro. intros zenon_H313 zenon_H17 zenon_H30e zenon_H214 zenon_H2ee zenon_H322 zenon_H2e6 zenon_H2a3 zenon_H2e2 zenon_H15 zenon_H13 zenon_H2ad zenon_H2e7 zenon_H2f6 zenon_H1ba zenon_H1d8 zenon_H2c7 zenon_H234 zenon_H2c0.
% 54.60/54.87 apply (zenon_or_s _ _ zenon_H313); [ zenon_intro zenon_H16 | zenon_intro zenon_H314 ].
% 54.60/54.87 apply (zenon_L2_); trivial.
% 54.60/54.87 apply (zenon_or_s _ _ zenon_H314); [ zenon_intro zenon_H2b7 | zenon_intro zenon_H315 ].
% 54.60/54.87 apply (zenon_L208_); trivial.
% 54.60/54.87 apply (zenon_or_s _ _ zenon_H315); [ zenon_intro zenon_H2e3 | zenon_intro zenon_H1c3 ].
% 54.60/54.87 apply (zenon_L197_); trivial.
% 54.60/54.87 apply (zenon_L223_); trivial.
% 54.60/54.87 (* end of lemma zenon_L247_ *)
% 54.60/54.87 assert (zenon_L248_ : (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (~((op1 (e13) (e13)) = (e13))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> ((op1 (e11) (e13)) = (e11)) -> ((op1 (e12) (op1 (e12) (e11))) = (e11)) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> ((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) -> ((e10) = (op1 (e11) (e11))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> ((op1 (e13) (e12)) = (e13)) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e12) (op1 (e12) (e13))) = (e13)) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> False).
% 54.60/54.87 do 0 intro. intros zenon_H2c2 zenon_H15a zenon_H1c0 zenon_H2b9 zenon_H25 zenon_H32b zenon_H1f4 zenon_H313 zenon_H17 zenon_H30e zenon_H214 zenon_H2ee zenon_H322 zenon_H2e6 zenon_H2a3 zenon_H2e2 zenon_H15 zenon_H13 zenon_H2ad zenon_H2e7 zenon_H2f6 zenon_H1ba zenon_H1d8 zenon_H2c7 zenon_H2c0.
% 54.60/54.87 apply (zenon_or_s _ _ zenon_H2c2); [ zenon_intro zenon_H159 | zenon_intro zenon_H2c3 ].
% 54.60/54.87 apply (zenon_L64_); trivial.
% 54.60/54.87 apply (zenon_or_s _ _ zenon_H2c3); [ zenon_intro zenon_H2b7 | zenon_intro zenon_H2c4 ].
% 54.60/54.87 apply (zenon_L229_); trivial.
% 54.60/54.87 apply (zenon_or_s _ _ zenon_H2c4); [ zenon_intro zenon_H1f3 | zenon_intro zenon_H234 ].
% 54.60/54.87 apply (zenon_L96_); trivial.
% 54.60/54.87 apply (zenon_L247_); trivial.
% 54.60/54.87 (* end of lemma zenon_L248_ *)
% 54.60/54.87 assert (zenon_L249_ : ((((op1 (e10) (e10)) = (e10))/\(((op1 (e10) (e10)) = (e10))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11))))/\(((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12))))/\((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))))))))\/((((op1 (e10) (e11)) = (e10))/\(((op1 (e11) (e10)) = (e10))/\(((~((op1 (e11) (e10)) = (e11)))\/(~((op1 (e11) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e11) (e12)) = (e11)))\/(~((op1 (e11) (e11)) = (e12))))/\((~((op1 (e11) (e13)) = (e11)))\/(~((op1 (e11) (e11)) = (e13)))))))))\/((((op1 (e10) (e12)) = (e10))/\(((op1 (e12) (e10)) = (e10))/\(((~((op1 (e12) (e10)) = (e12)))\/(~((op1 (e12) (e12)) = (e10))))/\(((~((op1 (e12) (e11)) = (e12)))\/(~((op1 (e12) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13)))))))))\/((((op1 (e10) (e13)) = (e10))/\(((op1 (e13) (e10)) = (e10))/\(((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e13) (e13)) = (e10))))/\(((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11))))/\(((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e13) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13)))))))))\/((((op1 (e11) (e10)) = (e11))/\(((op1 (e10) (e11)) = (e11))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11))))/\(((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12))))/\((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))))))))\/((((op1 (e11) (e11)) = (e11))/\(((op1 (e11) (e11)) = (e11))/\(((~((op1 (e11) (e10)) = (e11)))\/(~((op1 (e11) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e11) (e12)) = (e11)))\/(~((op1 (e11) (e11)) = (e12))))/\((~((op1 (e11) (e13)) = (e11)))\/(~((op1 (e11) (e11)) = (e13)))))))))\/((((op1 (e11) (e12)) = (e11))/\(((op1 (e12) (e11)) = (e11))/\(((~((op1 (e12) (e10)) = (e12)))\/(~((op1 (e12) (e12)) = (e10))))/\(((~((op1 (e12) (e11)) = (e12)))\/(~((op1 (e12) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13)))))))))\/((((op1 (e11) (e13)) = (e11))/\(((op1 (e13) (e11)) = (e11))/\(((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e13) (e13)) = (e10))))/\(((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11))))/\(((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e13) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13)))))))))\/((((op1 (e12) (e10)) = (e12))/\(((op1 (e10) (e12)) = (e12))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11))))/\(((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12))))/\((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))))))))\/((((op1 (e12) (e11)) = (e12))/\(((op1 (e11) (e12)) = (e12))/\(((~((op1 (e11) (e10)) = (e11)))\/(~((op1 (e11) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e11) (e12)) = (e11)))\/(~((op1 (e11) (e11)) = (e12))))/\((~((op1 (e11) (e13)) = (e11)))\/(~((op1 (e11) (e11)) = (e13)))))))))\/((((op1 (e12) (e12)) = (e12))/\(((op1 (e12) (e12)) = (e12))/\(((~((op1 (e12) (e10)) = (e12)))\/(~((op1 (e12) (e12)) = (e10))))/\(((~((op1 (e12) (e11)) = (e12)))\/(~((op1 (e12) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13)))))))))\/((((op1 (e12) (e13)) = (e12))/\(((op1 (e13) (e12)) = (e12))/\(((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e13) (e13)) = (e10))))/\(((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11))))/\(((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e13) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13)))))))))\/((((op1 (e13) (e10)) = (e13))/\(((op1 (e10) (e13)) = (e13))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11))))/\(((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12))))/\((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))))))))\/((((op1 (e13) (e11)) = (e13))/\(((op1 (e11) (e13)) = (e13))/\(((~((op1 (e11) (e10)) = (e11)))\/(~((op1 (e11) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e11) (e12)) = (e11)))\/(~((op1 (e11) (e11)) = (e12))))/\((~((op1 (e11) (e13)) = (e11)))\/(~((op1 (e11) (e11)) = (e13)))))))))\/((((op1 (e13) (e12)) = (e13))/\(((op1 (e12) (e13)) = (e13))/\(((~((op1 (e12) (e10)) = (e12)))\/(~((op1 (e12) (e12)) = (e10))))/\(((~((op1 (e12) (e11)) = (e12)))\/(~((op1 (e12) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13)))))))))\/(((op1 (e13) (e13)) = (e13))/\(((op1 (e13) (e13)) = (e13))/\(((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e13) (e13)) = (e10))))/\(((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11))))/\(((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e13) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13)))))))))))))))))))))))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e12) (e12)) = (e12))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e12) (e13)) = (e10))))) -> ((op1 (e12) (op1 (e12) (e12))) = (e12)) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> ((op1 (e12) (op1 (e12) (e10))) = (e10)) -> (((op1 (e10) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> ((op1 (e12) (op1 (e12) (e11))) = (e11)) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> ((op1 (e13) (e12)) = (e13)) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e12))\/((op1 (e11) (e10)) = (e13))))) -> ((e12) = (op1 (op1 (op1 (e11) (e11)) (op1 (e11) (e11))) (op1 (e11) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> ((op1 (e12) (op1 (e12) (e13))) = (e13)) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> ((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) -> ((e10) = (op1 (e11) (e11))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> False).
% 54.60/54.87 do 0 intro. intros zenon_H245 zenon_H23b zenon_H1d1 zenon_H1da zenon_H180 zenon_H2ea zenon_H2cc zenon_H186 zenon_H2d9 zenon_H2d4 zenon_H2fd zenon_H172 zenon_H1fd zenon_H18a zenon_H2f8 zenon_H2fb zenon_H321 zenon_H1a9 zenon_H17 zenon_H2ee zenon_H322 zenon_H1d8 zenon_H2f6 zenon_H2ad zenon_H2e2 zenon_H2a3 zenon_H2e6 zenon_H2e7 zenon_H313 zenon_H1ba zenon_H30e zenon_H32b zenon_H21a zenon_H179 zenon_H25 zenon_H15f zenon_H155 zenon_H154 zenon_H14b zenon_H2c0 zenon_H2c7 zenon_H1f4 zenon_H15 zenon_H13 zenon_H2b9 zenon_H15a zenon_H2c2.
% 54.60/54.87 apply (zenon_or_s _ _ zenon_H245); [ zenon_intro zenon_H147 | zenon_intro zenon_H254 ].
% 54.60/54.87 apply (zenon_L60_); trivial.
% 54.60/54.87 apply (zenon_or_s _ _ zenon_H254); [ zenon_intro zenon_H164 | zenon_intro zenon_H255 ].
% 54.60/54.87 apply (zenon_L66_); trivial.
% 54.60/54.87 apply (zenon_or_s _ _ zenon_H255); [ zenon_intro zenon_H197 | zenon_intro zenon_H256 ].
% 54.60/54.87 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_H18f. zenon_intro zenon_H198.
% 54.60/54.87 apply (zenon_and_s _ _ zenon_H198). zenon_intro zenon_H293. zenon_intro zenon_H227.
% 54.60/54.87 apply (zenon_and_s _ _ zenon_H227). zenon_intro zenon_H229. zenon_intro zenon_H228.
% 54.60/54.87 apply (zenon_and_s _ _ zenon_H228). zenon_intro zenon_H22b. zenon_intro zenon_H22a.
% 54.60/54.87 apply (zenon_L244_); trivial.
% 54.60/54.87 apply (zenon_or_s _ _ zenon_H256); [ zenon_intro zenon_H199 | zenon_intro zenon_H257 ].
% 54.60/54.87 apply (zenon_L246_); trivial.
% 54.60/54.87 apply (zenon_or_s _ _ zenon_H257); [ zenon_intro zenon_H259 | zenon_intro zenon_H258 ].
% 54.60/54.87 apply (zenon_L224_); trivial.
% 54.60/54.87 apply (zenon_or_s _ _ zenon_H258); [ zenon_intro zenon_H1a5 | zenon_intro zenon_H262 ].
% 54.60/54.87 apply (zenon_L80_); trivial.
% 54.60/54.87 apply (zenon_or_s _ _ zenon_H262); [ zenon_intro zenon_H1ae | zenon_intro zenon_H263 ].
% 54.60/54.87 apply (zenon_L83_); trivial.
% 54.60/54.87 apply (zenon_or_s _ _ zenon_H263); [ zenon_intro zenon_H212 | zenon_intro zenon_H264 ].
% 54.60/54.87 apply (zenon_and_s _ _ zenon_H212). zenon_intro zenon_H214. zenon_intro zenon_H213.
% 54.60/54.87 apply (zenon_and_s _ _ zenon_H213). zenon_intro zenon_H1ff. zenon_intro zenon_H19c.
% 54.60/54.87 apply (zenon_and_s _ _ zenon_H19c). zenon_intro zenon_H216. zenon_intro zenon_H215.
% 54.60/54.87 apply (zenon_and_s _ _ zenon_H215). zenon_intro zenon_H218. zenon_intro zenon_H217.
% 54.60/54.87 apply (zenon_and_s _ _ zenon_H217). zenon_intro zenon_H219. zenon_intro zenon_H211.
% 54.60/54.87 apply (zenon_or_s _ _ zenon_H211); [ zenon_intro zenon_H1c0 | zenon_intro zenon_H1c0 ].
% 54.60/54.87 apply (zenon_L248_); trivial.
% 54.60/54.87 apply (zenon_L248_); trivial.
% 54.60/54.87 apply (zenon_or_s _ _ zenon_H264); [ zenon_intro zenon_H220 | zenon_intro zenon_H265 ].
% 54.60/54.87 apply (zenon_L110_); trivial.
% 54.60/54.87 apply (zenon_or_s _ _ zenon_H265); [ zenon_intro zenon_H222 | zenon_intro zenon_H266 ].
% 54.60/54.87 apply (zenon_L111_); trivial.
% 54.60/54.87 apply (zenon_or_s _ _ zenon_H266); [ zenon_intro zenon_H225 | zenon_intro zenon_H267 ].
% 54.60/54.87 apply (zenon_L113_); trivial.
% 54.60/54.87 apply (zenon_or_s _ _ zenon_H267); [ zenon_intro zenon_H22d | zenon_intro zenon_H268 ].
% 54.60/54.87 apply (zenon_L114_); trivial.
% 54.60/54.87 apply (zenon_or_s _ _ zenon_H268); [ zenon_intro zenon_H230 | zenon_intro zenon_H269 ].
% 54.60/54.87 apply (zenon_L115_); trivial.
% 54.60/54.87 apply (zenon_or_s _ _ zenon_H269); [ zenon_intro zenon_H232 | zenon_intro zenon_H26a ].
% 54.60/54.87 apply (zenon_L116_); trivial.
% 54.60/54.87 apply (zenon_or_s _ _ zenon_H26a); [ zenon_intro zenon_H240 | zenon_intro zenon_H242 ].
% 54.60/54.87 apply (zenon_and_s _ _ zenon_H240). zenon_intro zenon_H1ba. zenon_intro zenon_H241.
% 54.60/54.87 apply (zenon_and_s _ _ zenon_H241). zenon_intro zenon_H235. zenon_intro zenon_H227.
% 54.60/54.87 apply (zenon_L221_); trivial.
% 54.60/54.87 apply (zenon_L125_); trivial.
% 54.60/54.87 (* end of lemma zenon_L249_ *)
% 54.60/54.87 assert (zenon_L250_ : (((op1 (e10) (e12)) = (e10))/\(((op1 (e12) (e10)) = (e10))/\(((~((op1 (e12) (e10)) = (e12)))\/(~((op1 (e12) (e12)) = (e10))))/\(((~((op1 (e12) (e11)) = (e12)))\/(~((op1 (e12) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13))))))))) -> ((op1 (e12) (e12)) = (e12)) -> False).
% 54.60/54.87 do 0 intro. intros zenon_H197 zenon_H1cb.
% 54.60/54.87 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_H18f. zenon_intro zenon_H198.
% 54.60/54.87 apply (zenon_and_s _ _ zenon_H198). zenon_intro zenon_H293. zenon_intro zenon_H227.
% 54.60/54.87 apply (zenon_and_s _ _ zenon_H227). zenon_intro zenon_H229. zenon_intro zenon_H228.
% 54.60/54.87 apply (zenon_and_s _ _ zenon_H228). zenon_intro zenon_H22b. zenon_intro zenon_H22a.
% 54.60/54.87 apply (zenon_and_s _ _ zenon_H22a). zenon_intro zenon_H224. zenon_intro zenon_H22c.
% 54.60/54.87 apply (zenon_L112_); trivial.
% 54.60/54.87 (* end of lemma zenon_L250_ *)
% 54.60/54.87 assert (zenon_L251_ : (~((op1 (e12) (e12)) = (op1 (e12) (op1 (e12) (e12))))) -> ((op1 (e12) (e12)) = (e12)) -> False).
% 54.60/54.87 do 0 intro. intros zenon_H331 zenon_H1cb.
% 54.60/54.87 cut (((e12) = (op1 (e12) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H1d0].
% 54.60/54.87 cut (((e12) = (e12))); [idtac | apply NNPP; zenon_intro zenon_H16e].
% 54.60/54.87 congruence.
% 54.60/54.87 apply zenon_H16e. apply refl_equal.
% 54.60/54.87 apply zenon_H1d0. apply sym_equal. exact zenon_H1cb.
% 54.60/54.87 (* end of lemma zenon_L251_ *)
% 54.60/54.87 assert (zenon_L252_ : ((op1 (e12) (op1 (e12) (e12))) = (e12)) -> ((op1 (e12) (e12)) = (e12)) -> ((op1 (e12) (e11)) = (e12)) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> False).
% 54.60/54.87 do 0 intro. intros zenon_H2cc zenon_H1cb zenon_H202 zenon_H321.
% 54.60/54.87 elim (classic ((op1 (e12) (e12)) = (op1 (e12) (e12)))); [ zenon_intro zenon_H1cd | zenon_intro zenon_H1ce ].
% 54.60/54.87 cut (((op1 (e12) (e12)) = (op1 (e12) (e12))) = ((op1 (e12) (e11)) = (op1 (e12) (e12)))).
% 54.60/54.87 intro zenon_D_pnotp.
% 54.60/54.87 apply zenon_H321.
% 54.60/54.87 rewrite <- zenon_D_pnotp.
% 54.60/54.87 exact zenon_H1cd.
% 54.60/54.87 cut (((op1 (e12) (e12)) = (op1 (e12) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H1ce].
% 54.60/54.87 cut (((op1 (e12) (e12)) = (op1 (e12) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H332].
% 54.60/54.87 congruence.
% 54.60/54.87 cut (((op1 (e12) (op1 (e12) (e12))) = (e12)) = ((op1 (e12) (e12)) = (op1 (e12) (e11)))).
% 54.60/54.87 intro zenon_D_pnotp.
% 54.60/54.87 apply zenon_H332.
% 54.60/54.87 rewrite <- zenon_D_pnotp.
% 54.60/54.87 exact zenon_H2cc.
% 54.60/54.87 cut (((e12) = (op1 (e12) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H203].
% 54.60/54.87 cut (((op1 (e12) (op1 (e12) (e12))) = (op1 (e12) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H333].
% 54.60/54.87 congruence.
% 54.60/54.87 elim (classic ((op1 (e12) (e12)) = (op1 (e12) (e12)))); [ zenon_intro zenon_H1cd | zenon_intro zenon_H1ce ].
% 54.60/54.87 cut (((op1 (e12) (e12)) = (op1 (e12) (e12))) = ((op1 (e12) (op1 (e12) (e12))) = (op1 (e12) (e12)))).
% 54.60/54.87 intro zenon_D_pnotp.
% 54.60/54.87 apply zenon_H333.
% 54.60/54.87 rewrite <- zenon_D_pnotp.
% 54.60/54.87 exact zenon_H1cd.
% 54.60/54.87 cut (((op1 (e12) (e12)) = (op1 (e12) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H1ce].
% 54.60/54.87 cut (((op1 (e12) (e12)) = (op1 (e12) (op1 (e12) (e12))))); [idtac | apply NNPP; zenon_intro zenon_H331].
% 54.60/54.87 congruence.
% 54.60/54.87 apply (zenon_L251_); trivial.
% 54.60/54.87 apply zenon_H1ce. apply refl_equal.
% 54.60/54.87 apply zenon_H1ce. apply refl_equal.
% 54.60/54.87 apply zenon_H203. apply sym_equal. exact zenon_H202.
% 54.60/54.87 apply zenon_H1ce. apply refl_equal.
% 54.60/54.87 apply zenon_H1ce. apply refl_equal.
% 54.60/54.87 (* end of lemma zenon_L252_ *)
% 54.60/54.87 assert (zenon_L253_ : (((op1 (e11) (e12)) = (e11))/\(((op1 (e12) (e11)) = (e11))/\(((~((op1 (e12) (e10)) = (e12)))\/(~((op1 (e12) (e12)) = (e10))))/\(((~((op1 (e12) (e11)) = (e12)))\/(~((op1 (e12) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13))))))))) -> ((op1 (e12) (e12)) = (e12)) -> False).
% 54.60/54.87 do 0 intro. intros zenon_H1ae zenon_H1cb.
% 54.60/54.87 apply (zenon_and_s _ _ zenon_H1ae). zenon_intro zenon_H1a8. zenon_intro zenon_H1af.
% 54.60/54.87 apply (zenon_and_s _ _ zenon_H1af). zenon_intro zenon_H306. zenon_intro zenon_H227.
% 54.60/54.87 apply (zenon_and_s _ _ zenon_H227). zenon_intro zenon_H229. zenon_intro zenon_H228.
% 54.60/54.87 apply (zenon_and_s _ _ zenon_H228). zenon_intro zenon_H22b. zenon_intro zenon_H22a.
% 54.60/54.87 apply (zenon_and_s _ _ zenon_H22a). zenon_intro zenon_H224. zenon_intro zenon_H22c.
% 54.60/54.87 apply (zenon_L112_); trivial.
% 54.60/54.87 (* end of lemma zenon_L253_ *)
% 54.60/54.87 assert (zenon_L254_ : (((op1 (e11) (e13)) = (e11))/\(((op1 (e13) (e11)) = (e11))/\(((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e13) (e13)) = (e10))))/\(((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11))))/\(((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e13) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13))))))))) -> (((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e12) (e11)) = (e13))))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> ((e10) = (op1 (e11) (e11))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> ((op1 (e12) (e12)) = (e12)) -> ((op1 (e12) (op1 (e12) (e12))) = (e12)) -> ((op1 (e12) (op1 (e12) (e11))) = (e11)) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> False).
% 54.60/54.87 do 0 intro. intros zenon_H212 zenon_H30b zenon_H2d9 zenon_H13 zenon_H2f6 zenon_H321 zenon_H1cb zenon_H2cc zenon_H2ee zenon_H2c0.
% 54.60/54.87 apply (zenon_and_s _ _ zenon_H212). zenon_intro zenon_H214. zenon_intro zenon_H213.
% 54.60/54.87 apply (zenon_and_s _ _ zenon_H213). zenon_intro zenon_H1ff. zenon_intro zenon_H19c.
% 54.60/54.87 apply (zenon_or_s _ _ zenon_H30b); [ zenon_intro zenon_H2d8 | zenon_intro zenon_H30c ].
% 54.60/54.87 apply (zenon_L187_); trivial.
% 54.60/54.87 apply (zenon_or_s _ _ zenon_H30c); [ zenon_intro zenon_H306 | zenon_intro zenon_H30d ].
% 54.60/54.87 apply (zenon_L230_); trivial.
% 54.60/54.87 apply (zenon_or_s _ _ zenon_H30d); [ zenon_intro zenon_H202 | zenon_intro zenon_H2e3 ].
% 54.60/54.87 apply (zenon_L252_); trivial.
% 54.60/54.87 apply (zenon_L197_); trivial.
% 54.60/54.87 (* end of lemma zenon_L254_ *)
% 54.60/54.87 assert (zenon_L255_ : (((op1 (e13) (e12)) = (e13))/\(((op1 (e12) (e13)) = (e13))/\(((~((op1 (e12) (e10)) = (e12)))\/(~((op1 (e12) (e12)) = (e10))))/\(((~((op1 (e12) (e11)) = (e12)))\/(~((op1 (e12) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13))))))))) -> ((op1 (e12) (e12)) = (e12)) -> False).
% 54.60/54.87 do 0 intro. intros zenon_H240 zenon_H1cb.
% 54.60/54.87 apply (zenon_and_s _ _ zenon_H240). zenon_intro zenon_H1ba. zenon_intro zenon_H241.
% 54.60/54.87 apply (zenon_and_s _ _ zenon_H241). zenon_intro zenon_H235. zenon_intro zenon_H227.
% 54.60/54.87 apply (zenon_and_s _ _ zenon_H227). zenon_intro zenon_H229. zenon_intro zenon_H228.
% 54.60/54.87 apply (zenon_and_s _ _ zenon_H228). zenon_intro zenon_H22b. zenon_intro zenon_H22a.
% 54.60/54.87 apply (zenon_and_s _ _ zenon_H22a). zenon_intro zenon_H224. zenon_intro zenon_H22c.
% 54.60/54.87 apply (zenon_L112_); trivial.
% 54.60/54.87 (* end of lemma zenon_L255_ *)
% 54.60/54.87 assert (zenon_L256_ : (((op1 (e11) (e10)) = (e11))/\(((op1 (e10) (e11)) = (e11))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11))))/\(((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12))))/\((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13))))))))) -> ((op1 (e11) (e12)) = (e11)) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> False).
% 54.60/54.87 do 0 intro. intros zenon_H259 zenon_H1a8 zenon_H1a9.
% 54.60/54.87 apply (zenon_and_s _ _ zenon_H259). zenon_intro zenon_H163. zenon_intro zenon_H25a.
% 54.60/54.87 apply (zenon_L81_); trivial.
% 54.60/54.87 (* end of lemma zenon_L256_ *)
% 54.60/54.87 assert (zenon_L257_ : ((op1 (e12) (op1 (e12) (e12))) = (e12)) -> ((op1 (e12) (e12)) = (e12)) -> ((op1 (e11) (e12)) = (e12)) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> False).
% 54.60/54.87 do 0 intro. intros zenon_H2cc zenon_H1cb zenon_H1c6 zenon_H1cc.
% 54.60/54.87 elim (classic ((op1 (e12) (e12)) = (op1 (e12) (e12)))); [ zenon_intro zenon_H1cd | zenon_intro zenon_H1ce ].
% 54.60/54.87 cut (((op1 (e12) (e12)) = (op1 (e12) (e12))) = ((op1 (e11) (e12)) = (op1 (e12) (e12)))).
% 54.60/54.87 intro zenon_D_pnotp.
% 54.60/54.87 apply zenon_H1cc.
% 54.60/54.87 rewrite <- zenon_D_pnotp.
% 54.60/54.87 exact zenon_H1cd.
% 54.60/54.87 cut (((op1 (e12) (e12)) = (op1 (e12) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H1ce].
% 54.60/54.87 cut (((op1 (e12) (e12)) = (op1 (e11) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H1cf].
% 54.60/54.87 congruence.
% 54.60/54.87 cut (((op1 (e12) (op1 (e12) (e12))) = (e12)) = ((op1 (e12) (e12)) = (op1 (e11) (e12)))).
% 54.60/54.87 intro zenon_D_pnotp.
% 54.60/54.87 apply zenon_H1cf.
% 54.60/54.87 rewrite <- zenon_D_pnotp.
% 54.60/54.87 exact zenon_H2cc.
% 54.60/54.87 cut (((e12) = (op1 (e11) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H1c7].
% 54.60/54.87 cut (((op1 (e12) (op1 (e12) (e12))) = (op1 (e12) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H333].
% 54.60/54.87 congruence.
% 54.71/54.87 elim (classic ((op1 (e12) (e12)) = (op1 (e12) (e12)))); [ zenon_intro zenon_H1cd | zenon_intro zenon_H1ce ].
% 54.71/54.87 cut (((op1 (e12) (e12)) = (op1 (e12) (e12))) = ((op1 (e12) (op1 (e12) (e12))) = (op1 (e12) (e12)))).
% 54.71/54.87 intro zenon_D_pnotp.
% 54.71/54.87 apply zenon_H333.
% 54.71/54.87 rewrite <- zenon_D_pnotp.
% 54.71/54.87 exact zenon_H1cd.
% 54.71/54.87 cut (((op1 (e12) (e12)) = (op1 (e12) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H1ce].
% 54.71/54.87 cut (((op1 (e12) (e12)) = (op1 (e12) (op1 (e12) (e12))))); [idtac | apply NNPP; zenon_intro zenon_H331].
% 54.71/54.87 congruence.
% 54.71/54.87 apply (zenon_L251_); trivial.
% 54.71/54.87 apply zenon_H1ce. apply refl_equal.
% 54.71/54.87 apply zenon_H1ce. apply refl_equal.
% 54.71/54.87 apply zenon_H1c7. apply sym_equal. exact zenon_H1c6.
% 54.71/54.87 apply zenon_H1ce. apply refl_equal.
% 54.71/54.87 apply zenon_H1ce. apply refl_equal.
% 54.71/54.87 (* end of lemma zenon_L257_ *)
% 54.71/54.87 assert (zenon_L258_ : ((((op1 (e10) (e10)) = (e10))/\(((op1 (e10) (e10)) = (e10))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11))))/\(((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12))))/\((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))))))))\/((((op1 (e10) (e11)) = (e10))/\(((op1 (e11) (e10)) = (e10))/\(((~((op1 (e11) (e10)) = (e11)))\/(~((op1 (e11) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e11) (e12)) = (e11)))\/(~((op1 (e11) (e11)) = (e12))))/\((~((op1 (e11) (e13)) = (e11)))\/(~((op1 (e11) (e11)) = (e13)))))))))\/((((op1 (e10) (e12)) = (e10))/\(((op1 (e12) (e10)) = (e10))/\(((~((op1 (e12) (e10)) = (e12)))\/(~((op1 (e12) (e12)) = (e10))))/\(((~((op1 (e12) (e11)) = (e12)))\/(~((op1 (e12) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13)))))))))\/((((op1 (e10) (e13)) = (e10))/\(((op1 (e13) (e10)) = (e10))/\(((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e13) (e13)) = (e10))))/\(((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11))))/\(((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e13) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13)))))))))\/((((op1 (e11) (e10)) = (e11))/\(((op1 (e10) (e11)) = (e11))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11))))/\(((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12))))/\((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))))))))\/((((op1 (e11) (e11)) = (e11))/\(((op1 (e11) (e11)) = (e11))/\(((~((op1 (e11) (e10)) = (e11)))\/(~((op1 (e11) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e11) (e12)) = (e11)))\/(~((op1 (e11) (e11)) = (e12))))/\((~((op1 (e11) (e13)) = (e11)))\/(~((op1 (e11) (e11)) = (e13)))))))))\/((((op1 (e11) (e12)) = (e11))/\(((op1 (e12) (e11)) = (e11))/\(((~((op1 (e12) (e10)) = (e12)))\/(~((op1 (e12) (e12)) = (e10))))/\(((~((op1 (e12) (e11)) = (e12)))\/(~((op1 (e12) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13)))))))))\/((((op1 (e11) (e13)) = (e11))/\(((op1 (e13) (e11)) = (e11))/\(((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e13) (e13)) = (e10))))/\(((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11))))/\(((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e13) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13)))))))))\/((((op1 (e12) (e10)) = (e12))/\(((op1 (e10) (e12)) = (e12))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11))))/\(((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12))))/\((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))))))))\/((((op1 (e12) (e11)) = (e12))/\(((op1 (e11) (e12)) = (e12))/\(((~((op1 (e11) (e10)) = (e11)))\/(~((op1 (e11) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e11) (e12)) = (e11)))\/(~((op1 (e11) (e11)) = (e12))))/\((~((op1 (e11) (e13)) = (e11)))\/(~((op1 (e11) (e11)) = (e13)))))))))\/((((op1 (e12) (e12)) = (e12))/\(((op1 (e12) (e12)) = (e12))/\(((~((op1 (e12) (e10)) = (e12)))\/(~((op1 (e12) (e12)) = (e10))))/\(((~((op1 (e12) (e11)) = (e12)))\/(~((op1 (e12) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13)))))))))\/((((op1 (e12) (e13)) = (e12))/\(((op1 (e13) (e12)) = (e12))/\(((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e13) (e13)) = (e10))))/\(((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11))))/\(((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e13) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13)))))))))\/((((op1 (e13) (e10)) = (e13))/\(((op1 (e10) (e13)) = (e13))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11))))/\(((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12))))/\((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))))))))\/((((op1 (e13) (e11)) = (e13))/\(((op1 (e11) (e13)) = (e13))/\(((~((op1 (e11) (e10)) = (e11)))\/(~((op1 (e11) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e11) (e12)) = (e11)))\/(~((op1 (e11) (e11)) = (e12))))/\((~((op1 (e11) (e13)) = (e11)))\/(~((op1 (e11) (e11)) = (e13)))))))))\/((((op1 (e13) (e12)) = (e13))/\(((op1 (e12) (e13)) = (e13))/\(((~((op1 (e12) (e10)) = (e12)))\/(~((op1 (e12) (e12)) = (e10))))/\(((~((op1 (e12) (e11)) = (e12)))\/(~((op1 (e12) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13)))))))))\/(((op1 (e13) (e13)) = (e13))/\(((op1 (e13) (e13)) = (e13))/\(((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e13) (e13)) = (e10))))/\(((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11))))/\(((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e13) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13)))))))))))))))))))))))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e12) (e13)) = (e10))))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> ((op1 (e12) (op1 (e12) (e13))) = (e13)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> ((op1 (e12) (op1 (e12) (e10))) = (e10)) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e13) (e12)) = (e13)) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> ((op1 (e12) (op1 (e12) (e11))) = (e11)) -> ((op1 (e12) (op1 (e12) (e12))) = (e12)) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e12) (e11)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e12))\/((op1 (e11) (e10)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> ((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) -> ((e12) = (op1 (op1 (op1 (e11) (e11)) (op1 (e11) (e11))) (op1 (e11) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> ((e10) = (op1 (e11) (e11))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> ((op1 (e12) (e12)) = (e12)) -> False).
% 54.71/54.87 do 0 intro. intros zenon_H245 zenon_H2ea zenon_H2ad zenon_H2e2 zenon_H2c7 zenon_H2a3 zenon_H2e6 zenon_H2e7 zenon_H172 zenon_H186 zenon_H2d4 zenon_H1f4 zenon_H1ba zenon_H1cc zenon_H1a9 zenon_H1e8 zenon_H1f7 zenon_H2c0 zenon_H2ee zenon_H2cc zenon_H321 zenon_H2f6 zenon_H2d9 zenon_H30b zenon_H21a zenon_H179 zenon_H25 zenon_H15f zenon_H15a zenon_H15 zenon_H155 zenon_H154 zenon_H13 zenon_H14b zenon_H1cb.
% 54.71/54.87 apply (zenon_or_s _ _ zenon_H245); [ zenon_intro zenon_H147 | zenon_intro zenon_H254 ].
% 54.71/54.87 apply (zenon_L60_); trivial.
% 54.71/54.87 apply (zenon_or_s _ _ zenon_H254); [ zenon_intro zenon_H164 | zenon_intro zenon_H255 ].
% 54.71/54.87 apply (zenon_L66_); trivial.
% 54.71/54.87 apply (zenon_or_s _ _ zenon_H255); [ zenon_intro zenon_H197 | zenon_intro zenon_H256 ].
% 54.71/54.87 apply (zenon_L250_); trivial.
% 54.71/54.87 apply (zenon_or_s _ _ zenon_H256); [ zenon_intro zenon_H199 | zenon_intro zenon_H257 ].
% 54.71/54.87 apply (zenon_L246_); trivial.
% 54.71/54.87 apply (zenon_or_s _ _ zenon_H257); [ zenon_intro zenon_H259 | zenon_intro zenon_H258 ].
% 54.71/54.87 apply (zenon_or_s _ _ zenon_H1f7); [ zenon_intro zenon_H1e7 | zenon_intro zenon_H1f8 ].
% 54.71/54.87 apply (zenon_L94_); trivial.
% 54.71/54.87 apply (zenon_or_s _ _ zenon_H1f8); [ zenon_intro zenon_H1a8 | zenon_intro zenon_H1f9 ].
% 54.71/54.87 apply (zenon_L256_); trivial.
% 54.71/54.87 apply (zenon_or_s _ _ zenon_H1f9); [ zenon_intro zenon_H1c6 | zenon_intro zenon_H1f3 ].
% 54.71/54.87 apply (zenon_L257_); trivial.
% 54.71/54.87 apply (zenon_L96_); trivial.
% 54.71/54.87 apply (zenon_or_s _ _ zenon_H258); [ zenon_intro zenon_H1a5 | zenon_intro zenon_H262 ].
% 54.71/54.87 apply (zenon_L80_); trivial.
% 54.71/54.87 apply (zenon_or_s _ _ zenon_H262); [ zenon_intro zenon_H1ae | zenon_intro zenon_H263 ].
% 54.71/54.87 apply (zenon_L253_); trivial.
% 54.71/54.87 apply (zenon_or_s _ _ zenon_H263); [ zenon_intro zenon_H212 | zenon_intro zenon_H264 ].
% 54.71/54.87 apply (zenon_L254_); trivial.
% 54.71/54.87 apply (zenon_or_s _ _ zenon_H264); [ zenon_intro zenon_H220 | zenon_intro zenon_H265 ].
% 54.71/54.87 apply (zenon_L110_); trivial.
% 54.71/54.87 apply (zenon_or_s _ _ zenon_H265); [ zenon_intro zenon_H222 | zenon_intro zenon_H266 ].
% 54.71/54.87 apply (zenon_L111_); trivial.
% 54.71/54.87 apply (zenon_or_s _ _ zenon_H266); [ zenon_intro zenon_H225 | zenon_intro zenon_H267 ].
% 54.71/54.87 apply (zenon_L113_); trivial.
% 54.71/54.87 apply (zenon_or_s _ _ zenon_H267); [ zenon_intro zenon_H22d | zenon_intro zenon_H268 ].
% 54.71/54.87 apply (zenon_L114_); trivial.
% 54.71/54.87 apply (zenon_or_s _ _ zenon_H268); [ zenon_intro zenon_H230 | zenon_intro zenon_H269 ].
% 54.71/54.87 apply (zenon_L115_); trivial.
% 54.71/54.87 apply (zenon_or_s _ _ zenon_H269); [ zenon_intro zenon_H232 | zenon_intro zenon_H26a ].
% 54.71/54.87 apply (zenon_L116_); trivial.
% 54.71/54.87 apply (zenon_or_s _ _ zenon_H26a); [ zenon_intro zenon_H240 | zenon_intro zenon_H242 ].
% 54.71/54.87 apply (zenon_L255_); trivial.
% 54.71/54.87 apply (zenon_L125_); trivial.
% 54.71/54.87 (* end of lemma zenon_L258_ *)
% 54.71/54.87 assert (zenon_L259_ : ((~((op1 (e13) (e13)) = (e12)))\/((op1 (e13) (e12)) = (e13))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e12))\/((op1 (e11) (e10)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> ((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) -> ((e12) = (op1 (op1 (op1 (e11) (e11)) (op1 (e11) (e11))) (op1 (e11) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> ((e10) = (op1 (e11) (e11))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> ((op1 (e12) (e12)) = (e12)) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> ((op1 (e12) (op1 (e12) (e10))) = (e10)) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> ((op1 (e12) (op1 (e12) (e12))) = (e12)) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> ((op1 (e12) (op1 (e12) (e13))) = (e13)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e12) (e13)) = (e10))))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> ((op1 (e12) (op1 (e12) (e11))) = (e11)) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e12) (e11)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> ((((op1 (e10) (e10)) = (e10))/\(((op1 (e10) (e10)) = (e10))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11))))/\(((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12))))/\((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))))))))\/((((op1 (e10) (e11)) = (e10))/\(((op1 (e11) (e10)) = (e10))/\(((~((op1 (e11) (e10)) = (e11)))\/(~((op1 (e11) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e11) (e12)) = (e11)))\/(~((op1 (e11) (e11)) = (e12))))/\((~((op1 (e11) (e13)) = (e11)))\/(~((op1 (e11) (e11)) = (e13)))))))))\/((((op1 (e10) (e12)) = (e10))/\(((op1 (e12) (e10)) = (e10))/\(((~((op1 (e12) (e10)) = (e12)))\/(~((op1 (e12) (e12)) = (e10))))/\(((~((op1 (e12) (e11)) = (e12)))\/(~((op1 (e12) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13)))))))))\/((((op1 (e10) (e13)) = (e10))/\(((op1 (e13) (e10)) = (e10))/\(((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e13) (e13)) = (e10))))/\(((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11))))/\(((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e13) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13)))))))))\/((((op1 (e11) (e10)) = (e11))/\(((op1 (e10) (e11)) = (e11))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11))))/\(((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12))))/\((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))))))))\/((((op1 (e11) (e11)) = (e11))/\(((op1 (e11) (e11)) = (e11))/\(((~((op1 (e11) (e10)) = (e11)))\/(~((op1 (e11) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e11) (e12)) = (e11)))\/(~((op1 (e11) (e11)) = (e12))))/\((~((op1 (e11) (e13)) = (e11)))\/(~((op1 (e11) (e11)) = (e13)))))))))\/((((op1 (e11) (e12)) = (e11))/\(((op1 (e12) (e11)) = (e11))/\(((~((op1 (e12) (e10)) = (e12)))\/(~((op1 (e12) (e12)) = (e10))))/\(((~((op1 (e12) (e11)) = (e12)))\/(~((op1 (e12) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13)))))))))\/((((op1 (e11) (e13)) = (e11))/\(((op1 (e13) (e11)) = (e11))/\(((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e13) (e13)) = (e10))))/\(((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11))))/\(((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e13) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13)))))))))\/((((op1 (e12) (e10)) = (e12))/\(((op1 (e10) (e12)) = (e12))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11))))/\(((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12))))/\((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))))))))\/((((op1 (e12) (e11)) = (e12))/\(((op1 (e11) (e12)) = (e12))/\(((~((op1 (e11) (e10)) = (e11)))\/(~((op1 (e11) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e11) (e12)) = (e11)))\/(~((op1 (e11) (e11)) = (e12))))/\((~((op1 (e11) (e13)) = (e11)))\/(~((op1 (e11) (e11)) = (e13)))))))))\/((((op1 (e12) (e12)) = (e12))/\(((op1 (e12) (e12)) = (e12))/\(((~((op1 (e12) (e10)) = (e12)))\/(~((op1 (e12) (e12)) = (e10))))/\(((~((op1 (e12) (e11)) = (e12)))\/(~((op1 (e12) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13)))))))))\/((((op1 (e12) (e13)) = (e12))/\(((op1 (e13) (e12)) = (e12))/\(((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e13) (e13)) = (e10))))/\(((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11))))/\(((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e13) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13)))))))))\/((((op1 (e13) (e10)) = (e13))/\(((op1 (e10) (e13)) = (e13))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11))))/\(((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12))))/\((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))))))))\/((((op1 (e13) (e11)) = (e13))/\(((op1 (e11) (e13)) = (e13))/\(((~((op1 (e11) (e10)) = (e11)))\/(~((op1 (e11) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e11) (e12)) = (e11)))\/(~((op1 (e11) (e11)) = (e12))))/\((~((op1 (e11) (e13)) = (e11)))\/(~((op1 (e11) (e11)) = (e13)))))))))\/((((op1 (e13) (e12)) = (e13))/\(((op1 (e12) (e13)) = (e13))/\(((~((op1 (e12) (e10)) = (e12)))\/(~((op1 (e12) (e12)) = (e10))))/\(((~((op1 (e12) (e11)) = (e12)))\/(~((op1 (e12) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13)))))))))\/(((op1 (e13) (e13)) = (e13))/\(((op1 (e13) (e13)) = (e13))/\(((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e13) (e13)) = (e10))))/\(((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11))))/\(((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e13) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13)))))))))))))))))))))))) -> False).
% 54.71/54.87 do 0 intro. intros zenon_H334 zenon_H1f7 zenon_H1f4 zenon_H1cc zenon_H1a9 zenon_H1e8 zenon_H15f zenon_H15a zenon_H15 zenon_H155 zenon_H154 zenon_H13 zenon_H14b zenon_H1cb zenon_H21a zenon_H2d4 zenon_H2d9 zenon_H186 zenon_H179 zenon_H172 zenon_H2cc zenon_H2e7 zenon_H2e6 zenon_H2a3 zenon_H2c7 zenon_H2e2 zenon_H2ad zenon_H2ea zenon_H204 zenon_H2ee zenon_H321 zenon_H2fd zenon_H2fb zenon_H18a zenon_H1fd zenon_H2f6 zenon_H2f8 zenon_H2c0 zenon_H2b9 zenon_H30b zenon_H25 zenon_H245.
% 54.71/54.87 apply (zenon_or_s _ _ zenon_H334); [ zenon_intro zenon_H185 | zenon_intro zenon_H1ba ].
% 54.71/54.87 apply (zenon_or_s _ _ zenon_H245); [ zenon_intro zenon_H147 | zenon_intro zenon_H254 ].
% 54.71/54.87 apply (zenon_L60_); trivial.
% 54.71/54.87 apply (zenon_or_s _ _ zenon_H254); [ zenon_intro zenon_H164 | zenon_intro zenon_H255 ].
% 54.71/54.87 apply (zenon_L66_); trivial.
% 54.71/54.87 apply (zenon_or_s _ _ zenon_H255); [ zenon_intro zenon_H197 | zenon_intro zenon_H256 ].
% 54.71/54.87 apply (zenon_L250_); trivial.
% 54.71/54.87 apply (zenon_or_s _ _ zenon_H256); [ zenon_intro zenon_H199 | zenon_intro zenon_H257 ].
% 54.71/54.87 apply (zenon_L194_); trivial.
% 54.71/54.87 apply (zenon_or_s _ _ zenon_H257); [ zenon_intro zenon_H259 | zenon_intro zenon_H258 ].
% 54.71/54.87 apply (zenon_and_s _ _ zenon_H259). zenon_intro zenon_H163. zenon_intro zenon_H25a.
% 54.71/54.87 apply (zenon_and_s _ _ zenon_H25a). zenon_intro zenon_H1fe. zenon_intro zenon_H149.
% 54.71/54.87 apply (zenon_or_s _ _ zenon_H30b); [ zenon_intro zenon_H2d8 | zenon_intro zenon_H30c ].
% 54.71/54.87 apply (zenon_L187_); trivial.
% 54.71/54.87 apply (zenon_or_s _ _ zenon_H30c); [ zenon_intro zenon_H306 | zenon_intro zenon_H30d ].
% 54.71/54.87 apply (zenon_L205_); trivial.
% 54.71/54.87 apply (zenon_or_s _ _ zenon_H30d); [ zenon_intro zenon_H202 | zenon_intro zenon_H2e3 ].
% 54.71/54.87 apply (zenon_L252_); trivial.
% 54.71/54.87 apply (zenon_L202_); trivial.
% 54.71/54.87 apply (zenon_or_s _ _ zenon_H258); [ zenon_intro zenon_H1a5 | zenon_intro zenon_H262 ].
% 54.71/54.87 apply (zenon_L80_); trivial.
% 54.71/54.87 apply (zenon_or_s _ _ zenon_H262); [ zenon_intro zenon_H1ae | zenon_intro zenon_H263 ].
% 54.71/54.87 apply (zenon_L253_); trivial.
% 54.71/54.87 apply (zenon_or_s _ _ zenon_H263); [ zenon_intro zenon_H212 | zenon_intro zenon_H264 ].
% 54.71/54.87 apply (zenon_L254_); trivial.
% 54.71/54.87 apply (zenon_or_s _ _ zenon_H264); [ zenon_intro zenon_H220 | zenon_intro zenon_H265 ].
% 54.71/54.87 apply (zenon_L110_); trivial.
% 54.71/54.87 apply (zenon_or_s _ _ zenon_H265); [ zenon_intro zenon_H222 | zenon_intro zenon_H266 ].
% 54.71/54.87 apply (zenon_L111_); trivial.
% 54.71/54.87 apply (zenon_or_s _ _ zenon_H266); [ zenon_intro zenon_H225 | zenon_intro zenon_H267 ].
% 54.71/54.87 apply (zenon_L113_); trivial.
% 54.71/54.87 apply (zenon_or_s _ _ zenon_H267); [ zenon_intro zenon_H22d | zenon_intro zenon_H268 ].
% 54.71/54.87 apply (zenon_L114_); trivial.
% 54.71/54.87 apply (zenon_or_s _ _ zenon_H268); [ zenon_intro zenon_H230 | zenon_intro zenon_H269 ].
% 54.71/54.87 apply (zenon_L115_); trivial.
% 54.71/54.87 apply (zenon_or_s _ _ zenon_H269); [ zenon_intro zenon_H232 | zenon_intro zenon_H26a ].
% 54.71/54.87 apply (zenon_L116_); trivial.
% 54.71/54.87 apply (zenon_or_s _ _ zenon_H26a); [ zenon_intro zenon_H240 | zenon_intro zenon_H242 ].
% 54.71/54.87 apply (zenon_L255_); trivial.
% 54.71/54.87 apply (zenon_L125_); trivial.
% 54.71/54.87 apply (zenon_L258_); trivial.
% 54.71/54.87 (* end of lemma zenon_L259_ *)
% 54.71/54.87 assert (zenon_L260_ : (((op1 (e12) (op1 (e12) (e10))) = (e10))/\(((op1 (e12) (op1 (e12) (e11))) = (e11))/\(((op1 (e12) (op1 (e12) (e12))) = (e12))/\(((op1 (e12) (op1 (e12) (e13))) = (e13))/\(((~((op1 (e10) (e10)) = (e12)))\/((op1 (e10) (e12)) = (e10)))/\(((~((op1 (e11) (e11)) = (e12)))\/((op1 (e11) (e12)) = (e11)))/\(((~((op1 (e12) (e12)) = (e12)))\/((op1 (e12) (e12)) = (e12)))/\((~((op1 (e13) (e13)) = (e12)))\/((op1 (e13) (e12)) = (e13)))))))))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e12))\/((op1 (e11) (e10)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> ((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) -> ((e12) = (op1 (op1 (op1 (e11) (e11)) (op1 (e11) (e11))) (op1 (e11) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> ((e10) = (op1 (e11) (e11))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e12) (e13)) = (e10))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e12) (e11)) = (e13))))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((e12) = (e13))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e11)) = (e12))\/((op1 (e10) (e11)) = (e13))))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> ((((op1 (e10) (e10)) = (e10))/\(((op1 (e10) (e10)) = (e10))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11))))/\(((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12))))/\((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))))))))\/((((op1 (e10) (e11)) = (e10))/\(((op1 (e11) (e10)) = (e10))/\(((~((op1 (e11) (e10)) = (e11)))\/(~((op1 (e11) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e11) (e12)) = (e11)))\/(~((op1 (e11) (e11)) = (e12))))/\((~((op1 (e11) (e13)) = (e11)))\/(~((op1 (e11) (e11)) = (e13)))))))))\/((((op1 (e10) (e12)) = (e10))/\(((op1 (e12) (e10)) = (e10))/\(((~((op1 (e12) (e10)) = (e12)))\/(~((op1 (e12) (e12)) = (e10))))/\(((~((op1 (e12) (e11)) = (e12)))\/(~((op1 (e12) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13)))))))))\/((((op1 (e10) (e13)) = (e10))/\(((op1 (e13) (e10)) = (e10))/\(((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e13) (e13)) = (e10))))/\(((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11))))/\(((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e13) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13)))))))))\/((((op1 (e11) (e10)) = (e11))/\(((op1 (e10) (e11)) = (e11))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11))))/\(((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12))))/\((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))))))))\/((((op1 (e11) (e11)) = (e11))/\(((op1 (e11) (e11)) = (e11))/\(((~((op1 (e11) (e10)) = (e11)))\/(~((op1 (e11) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e11) (e12)) = (e11)))\/(~((op1 (e11) (e11)) = (e12))))/\((~((op1 (e11) (e13)) = (e11)))\/(~((op1 (e11) (e11)) = (e13)))))))))\/((((op1 (e11) (e12)) = (e11))/\(((op1 (e12) (e11)) = (e11))/\(((~((op1 (e12) (e10)) = (e12)))\/(~((op1 (e12) (e12)) = (e10))))/\(((~((op1 (e12) (e11)) = (e12)))\/(~((op1 (e12) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13)))))))))\/((((op1 (e11) (e13)) = (e11))/\(((op1 (e13) (e11)) = (e11))/\(((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e13) (e13)) = (e10))))/\(((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11))))/\(((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e13) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13)))))))))\/((((op1 (e12) (e10)) = (e12))/\(((op1 (e10) (e12)) = (e12))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11))))/\(((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12))))/\((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))))))))\/((((op1 (e12) (e11)) = (e12))/\(((op1 (e11) (e12)) = (e12))/\(((~((op1 (e11) (e10)) = (e11)))\/(~((op1 (e11) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e11) (e12)) = (e11)))\/(~((op1 (e11) (e11)) = (e12))))/\((~((op1 (e11) (e13)) = (e11)))\/(~((op1 (e11) (e11)) = (e13)))))))))\/((((op1 (e12) (e12)) = (e12))/\(((op1 (e12) (e12)) = (e12))/\(((~((op1 (e12) (e10)) = (e12)))\/(~((op1 (e12) (e12)) = (e10))))/\(((~((op1 (e12) (e11)) = (e12)))\/(~((op1 (e12) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13)))))))))\/((((op1 (e12) (e13)) = (e12))/\(((op1 (e13) (e12)) = (e12))/\(((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e13) (e13)) = (e10))))/\(((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11))))/\(((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e13) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13)))))))))\/((((op1 (e13) (e10)) = (e13))/\(((op1 (e10) (e13)) = (e13))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11))))/\(((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12))))/\((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))))))))\/((((op1 (e13) (e11)) = (e13))/\(((op1 (e11) (e13)) = (e13))/\(((~((op1 (e11) (e10)) = (e11)))\/(~((op1 (e11) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e11) (e12)) = (e11)))\/(~((op1 (e11) (e11)) = (e12))))/\((~((op1 (e11) (e13)) = (e11)))\/(~((op1 (e11) (e11)) = (e13)))))))))\/((((op1 (e13) (e12)) = (e13))/\(((op1 (e12) (e13)) = (e13))/\(((~((op1 (e12) (e10)) = (e12)))\/(~((op1 (e12) (e12)) = (e10))))/\(((~((op1 (e12) (e11)) = (e12)))\/(~((op1 (e12) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13)))))))))\/(((op1 (e13) (e13)) = (e13))/\(((op1 (e13) (e13)) = (e13))/\(((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e13) (e13)) = (e10))))/\(((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11))))/\(((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e13) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13)))))))))))))))))))))))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> False).
% 54.71/54.87 do 0 intro. intros zenon_H335 zenon_H15f zenon_H15a zenon_H15 zenon_H155 zenon_H154 zenon_H13 zenon_H14b zenon_H186 zenon_H179 zenon_H172 zenon_H2d1 zenon_H1da zenon_H180 zenon_H23b zenon_H21a zenon_H1e zenon_H1cc zenon_H1d8 zenon_H2c9 zenon_H2d9 zenon_H2e7 zenon_H2e6 zenon_H2a3 zenon_H2e2 zenon_H2ad zenon_H2ea zenon_H19d zenon_H1a0 zenon_H316 zenon_H313 zenon_H30e zenon_H17 zenon_H204 zenon_H30b zenon_H301 zenon_H209 zenon_H18e zenon_H321 zenon_H2c2 zenon_H1f4 zenon_H322 zenon_H325 zenon_H25 zenon_H328 zenon_H2b9 zenon_H2c0 zenon_H2f8 zenon_H2f6 zenon_H1fd zenon_H18a zenon_H2fb zenon_H2fd zenon_H236 zenon_H246 zenon_H1a9 zenon_H32e zenon_H206 zenon_H32b zenon_H245 zenon_H1f7 zenon_H1e8.
% 54.71/54.87 apply (zenon_and_s _ _ zenon_H335). zenon_intro zenon_H2d4. zenon_intro zenon_H336.
% 54.71/54.87 apply (zenon_and_s _ _ zenon_H336). zenon_intro zenon_H2ee. zenon_intro zenon_H337.
% 54.71/54.88 apply (zenon_and_s _ _ zenon_H337). zenon_intro zenon_H2cc. zenon_intro zenon_H338.
% 54.71/54.88 apply (zenon_and_s _ _ zenon_H338). zenon_intro zenon_H2c7. zenon_intro zenon_H339.
% 54.71/54.88 apply (zenon_and_s _ _ zenon_H339). zenon_intro zenon_H33b. zenon_intro zenon_H33a.
% 54.71/54.88 apply (zenon_and_s _ _ zenon_H33a). zenon_intro zenon_H33d. zenon_intro zenon_H33c.
% 54.71/54.88 apply (zenon_and_s _ _ zenon_H33c). zenon_intro zenon_H33e. zenon_intro zenon_H334.
% 54.71/54.88 apply (zenon_or_s _ _ zenon_H33d); [ zenon_intro zenon_H1b9 | zenon_intro zenon_H1a8 ].
% 54.71/54.88 apply (zenon_or_s _ _ zenon_H33e); [ zenon_intro zenon_H1d1 | zenon_intro zenon_H1cb ].
% 54.71/54.88 apply (zenon_or_s _ _ zenon_H334); [ zenon_intro zenon_H185 | zenon_intro zenon_H1ba ].
% 54.71/54.88 apply (zenon_or_s _ _ zenon_H245); [ zenon_intro zenon_H147 | zenon_intro zenon_H254 ].
% 54.71/54.88 apply (zenon_L60_); trivial.
% 54.71/54.88 apply (zenon_or_s _ _ zenon_H254); [ zenon_intro zenon_H164 | zenon_intro zenon_H255 ].
% 54.71/54.88 apply (zenon_L66_); trivial.
% 54.71/54.88 apply (zenon_or_s _ _ zenon_H255); [ zenon_intro zenon_H197 | zenon_intro zenon_H256 ].
% 54.71/54.88 apply (zenon_L185_); trivial.
% 54.71/54.88 apply (zenon_or_s _ _ zenon_H256); [ zenon_intro zenon_H199 | zenon_intro zenon_H257 ].
% 54.71/54.88 apply (zenon_L194_); trivial.
% 54.71/54.88 apply (zenon_or_s _ _ zenon_H257); [ zenon_intro zenon_H259 | zenon_intro zenon_H258 ].
% 54.71/54.88 apply (zenon_and_s _ _ zenon_H259). zenon_intro zenon_H163. zenon_intro zenon_H25a.
% 54.71/54.88 apply (zenon_and_s _ _ zenon_H25a). zenon_intro zenon_H1fe. zenon_intro zenon_H149.
% 54.71/54.88 apply (zenon_and_s _ _ zenon_H149). zenon_intro zenon_H144. zenon_intro zenon_H14a.
% 54.71/54.88 apply (zenon_and_s _ _ zenon_H14a). zenon_intro zenon_H25c. zenon_intro zenon_H25b.
% 54.71/54.88 apply (zenon_and_s _ _ zenon_H25b). zenon_intro zenon_H25e. zenon_intro zenon_H25d.
% 54.71/54.88 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_H146 | zenon_intro zenon_H146 ].
% 54.71/54.88 apply (zenon_L228_); trivial.
% 54.71/54.88 apply (zenon_L228_); trivial.
% 54.71/54.88 apply (zenon_or_s _ _ zenon_H258); [ zenon_intro zenon_H1a5 | zenon_intro zenon_H262 ].
% 54.71/54.88 apply (zenon_L80_); trivial.
% 54.71/54.88 apply (zenon_or_s _ _ zenon_H262); [ zenon_intro zenon_H1ae | zenon_intro zenon_H263 ].
% 54.71/54.88 apply (zenon_L83_); trivial.
% 54.71/54.88 apply (zenon_or_s _ _ zenon_H263); [ zenon_intro zenon_H212 | zenon_intro zenon_H264 ].
% 54.71/54.88 apply (zenon_L239_); trivial.
% 54.71/54.88 apply (zenon_or_s _ _ zenon_H264); [ zenon_intro zenon_H220 | zenon_intro zenon_H265 ].
% 54.71/54.88 apply (zenon_L110_); trivial.
% 54.71/54.88 apply (zenon_or_s _ _ zenon_H265); [ zenon_intro zenon_H222 | zenon_intro zenon_H266 ].
% 54.71/54.88 apply (zenon_L111_); trivial.
% 54.71/54.88 apply (zenon_or_s _ _ zenon_H266); [ zenon_intro zenon_H225 | zenon_intro zenon_H267 ].
% 54.71/54.88 apply (zenon_L113_); trivial.
% 54.71/54.88 apply (zenon_or_s _ _ zenon_H267); [ zenon_intro zenon_H22d | zenon_intro zenon_H268 ].
% 54.71/54.88 apply (zenon_L114_); trivial.
% 54.71/54.88 apply (zenon_or_s _ _ zenon_H268); [ zenon_intro zenon_H230 | zenon_intro zenon_H269 ].
% 54.71/54.88 apply (zenon_L115_); trivial.
% 54.71/54.88 apply (zenon_or_s _ _ zenon_H269); [ zenon_intro zenon_H232 | zenon_intro zenon_H26a ].
% 54.71/54.88 apply (zenon_L116_); trivial.
% 54.71/54.88 apply (zenon_or_s _ _ zenon_H26a); [ zenon_intro zenon_H240 | zenon_intro zenon_H242 ].
% 54.71/54.88 apply (zenon_L245_); trivial.
% 54.71/54.88 apply (zenon_L125_); trivial.
% 54.71/54.88 apply (zenon_L249_); trivial.
% 54.71/54.88 apply (zenon_L259_); trivial.
% 54.71/54.88 apply (zenon_L82_); trivial.
% 54.71/54.88 (* end of lemma zenon_L260_ *)
% 54.71/54.88 assert (zenon_L261_ : ((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> ((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) -> ((e10) = (op1 (e11) (e11))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> ((op1 (e10) (e13)) = (e10)) -> False).
% 54.71/54.88 do 0 intro. intros zenon_H25d zenon_H17 zenon_H15 zenon_H13 zenon_H1e zenon_H25 zenon_H1a0 zenon_H19b.
% 54.71/54.88 apply (zenon_or_s _ _ zenon_H25d); [ zenon_intro zenon_H25f | zenon_intro zenon_H1a1 ].
% 54.71/54.88 exact (zenon_H25f zenon_H19b).
% 54.71/54.88 apply (zenon_L79_); trivial.
% 54.71/54.88 (* end of lemma zenon_L261_ *)
% 54.71/54.88 assert (zenon_L262_ : (((op1 (e10) (e10)) = (e10))/\(((op1 (e10) (e10)) = (e10))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11))))/\(((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12))))/\((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13))))))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> ((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) -> ((e10) = (op1 (e11) (e11))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> ((op1 (e10) (e13)) = (e10)) -> False).
% 54.71/54.88 do 0 intro. intros zenon_H147 zenon_H17 zenon_H15 zenon_H13 zenon_H1e zenon_H25 zenon_H1a0 zenon_H19b.
% 54.71/54.88 apply (zenon_and_s _ _ zenon_H147). zenon_intro zenon_H145. zenon_intro zenon_H148.
% 54.71/54.88 apply (zenon_and_s _ _ zenon_H148). zenon_intro zenon_H145. zenon_intro zenon_H149.
% 54.71/54.88 apply (zenon_and_s _ _ zenon_H149). zenon_intro zenon_H144. zenon_intro zenon_H14a.
% 54.71/54.88 apply (zenon_and_s _ _ zenon_H14a). zenon_intro zenon_H25c. zenon_intro zenon_H25b.
% 54.71/54.88 apply (zenon_and_s _ _ zenon_H25b). zenon_intro zenon_H25e. zenon_intro zenon_H25d.
% 54.71/54.88 apply (zenon_L261_); trivial.
% 54.71/54.88 (* end of lemma zenon_L262_ *)
% 54.71/54.88 assert (zenon_L263_ : (~((e13) = (e13))) -> False).
% 54.71/54.88 do 0 intro. intros zenon_H238.
% 54.71/54.88 apply zenon_H238. apply refl_equal.
% 54.71/54.88 (* end of lemma zenon_L263_ *)
% 54.71/54.88 assert (zenon_L264_ : (~((op1 (e13) (e12)) = (op1 (e13) (op1 (e13) (e10))))) -> ((op1 (e13) (e10)) = (e12)) -> False).
% 54.71/54.88 do 0 intro. intros zenon_H33f zenon_H16b.
% 54.71/54.88 cut (((e12) = (op1 (e13) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H2cd].
% 54.71/54.88 cut (((e13) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H238].
% 54.71/54.88 congruence.
% 54.71/54.88 apply zenon_H238. apply refl_equal.
% 54.71/54.88 apply zenon_H2cd. apply sym_equal. exact zenon_H16b.
% 54.71/54.88 (* end of lemma zenon_L264_ *)
% 54.71/54.88 assert (zenon_L265_ : ((op1 (e13) (op1 (e13) (e10))) = (e10)) -> ((op1 (e13) (e10)) = (e12)) -> ((op1 (e10) (e12)) = (e10)) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> False).
% 54.71/54.88 do 0 intro. intros zenon_H340 zenon_H16b zenon_H18f zenon_H18e.
% 54.71/54.88 elim (classic ((op1 (e13) (e12)) = (op1 (e13) (e12)))); [ zenon_intro zenon_H17a | zenon_intro zenon_H17b ].
% 54.71/54.88 cut (((op1 (e13) (e12)) = (op1 (e13) (e12))) = ((op1 (e10) (e12)) = (op1 (e13) (e12)))).
% 54.71/54.88 intro zenon_D_pnotp.
% 54.71/54.88 apply zenon_H18e.
% 54.71/54.88 rewrite <- zenon_D_pnotp.
% 54.71/54.88 exact zenon_H17a.
% 54.71/54.88 cut (((op1 (e13) (e12)) = (op1 (e13) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H17b].
% 54.71/54.88 cut (((op1 (e13) (e12)) = (op1 (e10) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H1bb].
% 54.71/54.88 congruence.
% 54.71/54.88 cut (((op1 (e13) (op1 (e13) (e10))) = (e10)) = ((op1 (e13) (e12)) = (op1 (e10) (e12)))).
% 54.71/54.88 intro zenon_D_pnotp.
% 54.71/54.88 apply zenon_H1bb.
% 54.71/54.88 rewrite <- zenon_D_pnotp.
% 54.71/54.88 exact zenon_H340.
% 54.71/54.88 cut (((e10) = (op1 (e10) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H299].
% 54.71/54.88 cut (((op1 (e13) (op1 (e13) (e10))) = (op1 (e13) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H341].
% 54.71/54.88 congruence.
% 54.71/54.88 elim (classic ((op1 (e13) (e12)) = (op1 (e13) (e12)))); [ zenon_intro zenon_H17a | zenon_intro zenon_H17b ].
% 54.71/54.88 cut (((op1 (e13) (e12)) = (op1 (e13) (e12))) = ((op1 (e13) (op1 (e13) (e10))) = (op1 (e13) (e12)))).
% 54.71/54.88 intro zenon_D_pnotp.
% 54.71/54.88 apply zenon_H341.
% 54.71/54.88 rewrite <- zenon_D_pnotp.
% 54.71/54.88 exact zenon_H17a.
% 54.71/54.88 cut (((op1 (e13) (e12)) = (op1 (e13) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H17b].
% 54.71/54.88 cut (((op1 (e13) (e12)) = (op1 (e13) (op1 (e13) (e10))))); [idtac | apply NNPP; zenon_intro zenon_H33f].
% 54.71/54.88 congruence.
% 54.71/54.88 apply (zenon_L264_); trivial.
% 54.71/54.88 apply zenon_H17b. apply refl_equal.
% 54.71/54.88 apply zenon_H17b. apply refl_equal.
% 54.71/54.88 apply zenon_H299. apply sym_equal. exact zenon_H18f.
% 54.71/54.88 apply zenon_H17b. apply refl_equal.
% 54.71/54.88 apply zenon_H17b. apply refl_equal.
% 54.71/54.88 (* end of lemma zenon_L265_ *)
% 54.71/54.88 assert (zenon_L266_ : (((op1 (e10) (e12)) = (e10))/\(((op1 (e12) (e10)) = (e10))/\(((~((op1 (e12) (e10)) = (e12)))\/(~((op1 (e12) (e12)) = (e10))))/\(((~((op1 (e12) (e11)) = (e12)))\/(~((op1 (e12) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13))))))))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e13) (op1 (e13) (e10))) = (e10)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> ((e12) = (op1 (op1 (op1 (e11) (e11)) (op1 (e11) (e11))) (op1 (e11) (e11)))) -> ((e10) = (op1 (e11) (e11))) -> ((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> False).
% 54.71/54.88 do 0 intro. intros zenon_H197 zenon_H186 zenon_H18e zenon_H340 zenon_H172 zenon_H179 zenon_H155 zenon_H13 zenon_H15 zenon_H180.
% 54.71/54.88 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_H18f. zenon_intro zenon_H198.
% 54.71/54.88 apply (zenon_or_s _ _ zenon_H186); [ zenon_intro zenon_H16b | zenon_intro zenon_H187 ].
% 54.71/54.88 apply (zenon_L265_); trivial.
% 54.71/54.88 apply (zenon_or_s _ _ zenon_H187); [ zenon_intro zenon_H171 | zenon_intro zenon_H188 ].
% 54.71/54.88 apply (zenon_L69_); trivial.
% 54.71/54.88 apply (zenon_or_s _ _ zenon_H188); [ zenon_intro zenon_H178 | zenon_intro zenon_H17f ].
% 54.71/54.88 apply (zenon_L70_); trivial.
% 54.71/54.88 apply (zenon_L71_); trivial.
% 54.71/54.88 (* end of lemma zenon_L266_ *)
% 54.71/54.88 assert (zenon_L267_ : (~((op1 (e13) (e10)) = (op1 (e13) (op1 (e13) (e13))))) -> ((op1 (e13) (e13)) = (e10)) -> False).
% 54.71/54.88 do 0 intro. intros zenon_H342 zenon_H196.
% 54.71/54.88 cut (((e10) = (op1 (e13) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H343].
% 54.71/54.88 cut (((e13) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H238].
% 54.71/54.88 congruence.
% 54.71/54.88 apply zenon_H238. apply refl_equal.
% 54.71/54.88 apply zenon_H343. apply sym_equal. exact zenon_H196.
% 54.71/54.88 (* end of lemma zenon_L267_ *)
% 54.71/54.88 assert (zenon_L268_ : (~((op1 (e13) (e11)) = (op1 (e13) (op1 (e13) (e13))))) -> ((op1 (e13) (e13)) = (e11)) -> False).
% 54.71/54.88 do 0 intro. intros zenon_H344 zenon_H210.
% 54.71/54.88 cut (((e11) = (op1 (e13) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H2fc].
% 54.71/54.88 cut (((e13) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H238].
% 54.71/54.88 congruence.
% 54.71/54.88 apply zenon_H238. apply refl_equal.
% 54.71/54.88 apply zenon_H2fc. apply sym_equal. exact zenon_H210.
% 54.71/54.88 (* end of lemma zenon_L268_ *)
% 54.71/54.88 assert (zenon_L269_ : (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> ((op1 (e13) (op1 (e13) (e13))) = (e13)) -> ((op1 (e13) (e13)) = (e11)) -> ((op1 (e13) (e12)) = (e13)) -> False).
% 54.71/54.88 do 0 intro. intros zenon_H345 zenon_H346 zenon_H210 zenon_H1ba.
% 54.71/54.88 cut (((op1 (e13) (op1 (e13) (e13))) = (e13)) = ((op1 (e13) (e11)) = (op1 (e13) (e12)))).
% 54.71/54.88 intro zenon_D_pnotp.
% 54.71/54.88 apply zenon_H345.
% 54.71/54.88 rewrite <- zenon_D_pnotp.
% 54.71/54.88 exact zenon_H346.
% 54.71/54.88 cut (((e13) = (op1 (e13) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H1bc].
% 54.71/54.88 cut (((op1 (e13) (op1 (e13) (e13))) = (op1 (e13) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H347].
% 54.71/54.88 congruence.
% 54.71/54.88 elim (classic ((op1 (e13) (e11)) = (op1 (e13) (e11)))); [ zenon_intro zenon_H173 | zenon_intro zenon_H174 ].
% 54.71/54.88 cut (((op1 (e13) (e11)) = (op1 (e13) (e11))) = ((op1 (e13) (op1 (e13) (e13))) = (op1 (e13) (e11)))).
% 54.71/54.88 intro zenon_D_pnotp.
% 54.71/54.88 apply zenon_H347.
% 54.71/54.88 rewrite <- zenon_D_pnotp.
% 54.71/54.88 exact zenon_H173.
% 54.71/54.88 cut (((op1 (e13) (e11)) = (op1 (e13) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H174].
% 54.71/54.88 cut (((op1 (e13) (e11)) = (op1 (e13) (op1 (e13) (e13))))); [idtac | apply NNPP; zenon_intro zenon_H344].
% 54.71/54.88 congruence.
% 54.71/54.88 apply (zenon_L268_); trivial.
% 54.71/54.88 apply zenon_H174. apply refl_equal.
% 54.71/54.88 apply zenon_H174. apply refl_equal.
% 54.71/54.88 apply zenon_H1bc. apply sym_equal. exact zenon_H1ba.
% 54.71/54.88 (* end of lemma zenon_L269_ *)
% 54.71/54.88 assert (zenon_L270_ : (((op1 (e13) (e13)) = (e10))\/(((op1 (e13) (e13)) = (e11))\/(((op1 (e13) (e13)) = (e12))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> ((op1 (e13) (e12)) = (e13)) -> ((op1 (e13) (op1 (e13) (e13))) = (e13)) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> ((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) -> ((e10) = (op1 (e11) (e11))) -> ((e12) = (op1 (op1 (op1 (e11) (e11)) (op1 (e11) (e11))) (op1 (e11) (e11)))) -> (~((op1 (e13) (e13)) = (e13))) -> False).
% 54.71/54.88 do 0 intro. intros zenon_H20c zenon_H179 zenon_H1ba zenon_H346 zenon_H345 zenon_H180 zenon_H15 zenon_H13 zenon_H155 zenon_H1c0.
% 54.71/54.88 apply (zenon_or_s _ _ zenon_H20c); [ zenon_intro zenon_H196 | zenon_intro zenon_H20e ].
% 54.71/54.88 cut (((op1 (e13) (op1 (e13) (e13))) = (e13)) = ((op1 (e13) (e10)) = (op1 (e13) (e12)))).
% 54.71/54.88 intro zenon_D_pnotp.
% 54.71/54.88 apply zenon_H179.
% 54.71/54.88 rewrite <- zenon_D_pnotp.
% 54.71/54.88 exact zenon_H346.
% 54.71/54.88 cut (((e13) = (op1 (e13) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H1bc].
% 54.71/54.88 cut (((op1 (e13) (op1 (e13) (e13))) = (op1 (e13) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H348].
% 54.71/54.88 congruence.
% 54.71/54.88 elim (classic ((op1 (e13) (e10)) = (op1 (e13) (e10)))); [ zenon_intro zenon_H1b2 | zenon_intro zenon_H1b3 ].
% 54.71/54.88 cut (((op1 (e13) (e10)) = (op1 (e13) (e10))) = ((op1 (e13) (op1 (e13) (e13))) = (op1 (e13) (e10)))).
% 54.71/54.88 intro zenon_D_pnotp.
% 54.71/54.88 apply zenon_H348.
% 54.71/54.88 rewrite <- zenon_D_pnotp.
% 54.71/54.88 exact zenon_H1b2.
% 54.71/54.88 cut (((op1 (e13) (e10)) = (op1 (e13) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H1b3].
% 54.71/54.88 cut (((op1 (e13) (e10)) = (op1 (e13) (op1 (e13) (e13))))); [idtac | apply NNPP; zenon_intro zenon_H342].
% 54.71/54.88 congruence.
% 54.71/54.88 apply (zenon_L267_); trivial.
% 54.71/54.88 apply zenon_H1b3. apply refl_equal.
% 54.71/54.88 apply zenon_H1b3. apply refl_equal.
% 54.71/54.88 apply zenon_H1bc. apply sym_equal. exact zenon_H1ba.
% 54.71/54.88 apply (zenon_or_s _ _ zenon_H20e); [ zenon_intro zenon_H210 | zenon_intro zenon_H20f ].
% 54.71/54.88 apply (zenon_L269_); trivial.
% 54.71/54.88 apply (zenon_or_s _ _ zenon_H20f); [ zenon_intro zenon_H17f | zenon_intro zenon_H1c4 ].
% 54.71/54.88 apply (zenon_L71_); trivial.
% 54.71/54.88 exact (zenon_H1c0 zenon_H1c4).
% 54.71/54.88 (* end of lemma zenon_L270_ *)
% 54.71/54.88 assert (zenon_L271_ : (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e13) (e11)) = (e13))) -> ((e12) = (op1 (op1 (op1 (e11) (e11)) (op1 (e11) (e11))) (op1 (e11) (e11)))) -> ((e10) = (op1 (e11) (e11))) -> ((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> ((op1 (e13) (op1 (e13) (e13))) = (e13)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e13)) = (e10))\/(((op1 (e13) (e13)) = (e11))\/(((op1 (e13) (e13)) = (e12))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e13) (e13)) = (e13))) -> False).
% 54.71/54.88 do 0 intro. intros zenon_H1be zenon_H1b1 zenon_H1bf zenon_H155 zenon_H13 zenon_H15 zenon_H180 zenon_H345 zenon_H346 zenon_H179 zenon_H20c zenon_H1c0.
% 54.71/54.88 apply (zenon_or_s _ _ zenon_H1be); [ zenon_intro zenon_H1b0 | zenon_intro zenon_H1c1 ].
% 54.71/54.88 apply (zenon_L84_); trivial.
% 54.71/54.88 apply (zenon_or_s _ _ zenon_H1c1); [ zenon_intro zenon_H1c3 | zenon_intro zenon_H1c2 ].
% 54.71/54.88 exact (zenon_H1bf zenon_H1c3).
% 54.71/54.88 apply (zenon_or_s _ _ zenon_H1c2); [ zenon_intro zenon_H1ba | zenon_intro zenon_H1c4 ].
% 54.71/54.88 apply (zenon_L270_); trivial.
% 54.71/54.88 exact (zenon_H1c0 zenon_H1c4).
% 54.71/54.88 (* end of lemma zenon_L271_ *)
% 54.71/54.88 assert (zenon_L272_ : (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> ((op1 (e13) (op1 (e13) (e13))) = (e13)) -> ((op1 (e13) (e13)) = (e10)) -> ((op1 (e13) (e11)) = (e13)) -> False).
% 54.71/54.88 do 0 intro. intros zenon_H172 zenon_H346 zenon_H196 zenon_H1c3.
% 54.71/54.88 cut (((op1 (e13) (op1 (e13) (e13))) = (e13)) = ((op1 (e13) (e10)) = (op1 (e13) (e11)))).
% 54.71/54.88 intro zenon_D_pnotp.
% 54.71/54.88 apply zenon_H172.
% 54.71/54.88 rewrite <- zenon_D_pnotp.
% 54.71/54.88 exact zenon_H346.
% 54.71/54.88 cut (((e13) = (op1 (e13) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H29f].
% 54.71/54.88 cut (((op1 (e13) (op1 (e13) (e13))) = (op1 (e13) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H348].
% 54.71/54.88 congruence.
% 54.71/54.88 elim (classic ((op1 (e13) (e10)) = (op1 (e13) (e10)))); [ zenon_intro zenon_H1b2 | zenon_intro zenon_H1b3 ].
% 54.71/54.88 cut (((op1 (e13) (e10)) = (op1 (e13) (e10))) = ((op1 (e13) (op1 (e13) (e13))) = (op1 (e13) (e10)))).
% 54.71/54.88 intro zenon_D_pnotp.
% 54.71/54.88 apply zenon_H348.
% 54.71/54.88 rewrite <- zenon_D_pnotp.
% 54.71/54.88 exact zenon_H1b2.
% 54.71/54.88 cut (((op1 (e13) (e10)) = (op1 (e13) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H1b3].
% 54.71/54.88 cut (((op1 (e13) (e10)) = (op1 (e13) (op1 (e13) (e13))))); [idtac | apply NNPP; zenon_intro zenon_H342].
% 54.71/54.88 congruence.
% 54.71/54.88 apply (zenon_L267_); trivial.
% 54.71/54.88 apply zenon_H1b3. apply refl_equal.
% 54.71/54.88 apply zenon_H1b3. apply refl_equal.
% 54.71/54.88 apply zenon_H29f. apply sym_equal. exact zenon_H1c3.
% 54.71/54.88 (* end of lemma zenon_L272_ *)
% 54.71/54.88 assert (zenon_L273_ : (((op1 (e13) (e13)) = (e10))\/(((op1 (e13) (e13)) = (e11))\/(((op1 (e13) (e13)) = (e12))\/((op1 (e13) (e13)) = (e13))))) -> ((op1 (e13) (e11)) = (e13)) -> ((op1 (e13) (op1 (e13) (e13))) = (e13)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e13) (e13)) = (e11))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> ((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) -> ((e10) = (op1 (e11) (e11))) -> ((e12) = (op1 (op1 (op1 (e11) (e11)) (op1 (e11) (e11))) (op1 (e11) (e11)))) -> (~((op1 (e13) (e13)) = (e13))) -> False).
% 54.71/54.88 do 0 intro. intros zenon_H20c zenon_H1c3 zenon_H346 zenon_H172 zenon_H20d zenon_H180 zenon_H15 zenon_H13 zenon_H155 zenon_H1c0.
% 54.71/54.88 apply (zenon_or_s _ _ zenon_H20c); [ zenon_intro zenon_H196 | zenon_intro zenon_H20e ].
% 54.71/54.88 apply (zenon_L272_); trivial.
% 54.71/54.88 apply (zenon_or_s _ _ zenon_H20e); [ zenon_intro zenon_H210 | zenon_intro zenon_H20f ].
% 54.71/54.88 exact (zenon_H20d zenon_H210).
% 54.71/54.88 apply (zenon_or_s _ _ zenon_H20f); [ zenon_intro zenon_H17f | zenon_intro zenon_H1c4 ].
% 54.71/54.88 apply (zenon_L71_); trivial.
% 54.71/54.88 exact (zenon_H1c0 zenon_H1c4).
% 54.71/54.88 (* end of lemma zenon_L273_ *)
% 54.71/54.88 assert (zenon_L274_ : (((op1 (e13) (e13)) = (e10))\/(((op1 (e13) (e13)) = (e11))\/(((op1 (e13) (e13)) = (e12))\/((op1 (e13) (e13)) = (e13))))) -> ((op1 (e13) (e11)) = (e13)) -> ((op1 (e13) (op1 (e13) (e13))) = (e13)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e13) (e13)) = (e11))) -> (~((op1 (e13) (e13)) = (e12))) -> (~((op1 (e13) (e13)) = (e13))) -> False).
% 54.71/54.88 do 0 intro. intros zenon_H20c zenon_H1c3 zenon_H346 zenon_H172 zenon_H20d zenon_H185 zenon_H1c0.
% 54.71/54.88 apply (zenon_or_s _ _ zenon_H20c); [ zenon_intro zenon_H196 | zenon_intro zenon_H20e ].
% 54.71/54.88 apply (zenon_L272_); trivial.
% 54.71/54.88 apply (zenon_or_s _ _ zenon_H20e); [ zenon_intro zenon_H210 | zenon_intro zenon_H20f ].
% 54.71/54.88 exact (zenon_H20d zenon_H210).
% 54.71/54.88 apply (zenon_or_s _ _ zenon_H20f); [ zenon_intro zenon_H17f | zenon_intro zenon_H1c4 ].
% 54.71/54.88 exact (zenon_H185 zenon_H17f).
% 54.71/54.88 exact (zenon_H1c0 zenon_H1c4).
% 54.71/54.88 (* end of lemma zenon_L274_ *)
% 54.71/54.88 assert (zenon_L275_ : ((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e13) (e13)) = (e10)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> ((op1 (e13) (op1 (e13) (e13))) = (e13)) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> ((e12) = (op1 (op1 (op1 (e11) (e11)) (op1 (e11) (e11))) (op1 (e11) (e11)))) -> (~((op1 (e13) (e13)) = (e13))) -> (((op1 (e13) (e13)) = (e10))\/(((op1 (e13) (e13)) = (e11))\/(((op1 (e13) (e13)) = (e12))\/((op1 (e13) (e13)) = (e13))))) -> ((e10) = (op1 (e11) (e11))) -> ((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> ((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e13) (e13)) = (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> ((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11)))) -> False).
% 54.71/54.88 do 0 intro. intros zenon_H216 zenon_H1be zenon_H179 zenon_H346 zenon_H345 zenon_H180 zenon_H155 zenon_H1c0 zenon_H20c zenon_H13 zenon_H15 zenon_H1b1 zenon_H219 zenon_H172 zenon_H218.
% 54.71/54.88 apply (zenon_or_s _ _ zenon_H216); [ zenon_intro zenon_H1b6 | zenon_intro zenon_H193 ].
% 54.71/54.88 apply (zenon_or_s _ _ zenon_H218); [ zenon_intro zenon_H1bf | zenon_intro zenon_H20d ].
% 54.71/54.88 apply (zenon_L271_); trivial.
% 54.71/54.88 apply (zenon_or_s _ _ zenon_H219); [ zenon_intro zenon_H1bd | zenon_intro zenon_H185 ].
% 54.71/54.88 apply (zenon_or_s _ _ zenon_H1be); [ zenon_intro zenon_H1b0 | zenon_intro zenon_H1c1 ].
% 54.71/54.88 exact (zenon_H1b6 zenon_H1b0).
% 54.71/54.88 apply (zenon_or_s _ _ zenon_H1c1); [ zenon_intro zenon_H1c3 | zenon_intro zenon_H1c2 ].
% 54.71/54.88 apply (zenon_L273_); trivial.
% 54.71/54.88 apply (zenon_or_s _ _ zenon_H1c2); [ zenon_intro zenon_H1ba | zenon_intro zenon_H1c4 ].
% 54.71/54.88 exact (zenon_H1bd zenon_H1ba).
% 54.71/54.88 exact (zenon_H1c0 zenon_H1c4).
% 54.71/54.88 apply (zenon_or_s _ _ zenon_H1be); [ zenon_intro zenon_H1b0 | zenon_intro zenon_H1c1 ].
% 54.71/54.88 exact (zenon_H1b6 zenon_H1b0).
% 54.71/54.88 apply (zenon_or_s _ _ zenon_H1c1); [ zenon_intro zenon_H1c3 | zenon_intro zenon_H1c2 ].
% 54.71/54.88 apply (zenon_L274_); trivial.
% 54.71/54.88 apply (zenon_or_s _ _ zenon_H1c2); [ zenon_intro zenon_H1ba | zenon_intro zenon_H1c4 ].
% 54.71/54.88 apply (zenon_L270_); trivial.
% 54.71/54.88 exact (zenon_H1c0 zenon_H1c4).
% 54.71/54.88 apply (zenon_or_s _ _ zenon_H218); [ zenon_intro zenon_H1bf | zenon_intro zenon_H20d ].
% 54.71/54.88 apply (zenon_L271_); trivial.
% 54.71/54.88 apply (zenon_L106_); trivial.
% 54.71/54.88 (* end of lemma zenon_L275_ *)
% 54.71/54.88 assert (zenon_L276_ : (((op1 (e10) (e13)) = (e10))/\(((op1 (e13) (e10)) = (e10))/\(((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e13) (e13)) = (e10))))/\(((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11))))/\(((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e13) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13))))))))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> ((op1 (e13) (op1 (e13) (e13))) = (e13)) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> ((e12) = (op1 (op1 (op1 (e11) (e11)) (op1 (e11) (e11))) (op1 (e11) (e11)))) -> (~((op1 (e13) (e13)) = (e13))) -> (((op1 (e13) (e13)) = (e10))\/(((op1 (e13) (e13)) = (e11))\/(((op1 (e13) (e13)) = (e12))\/((op1 (e13) (e13)) = (e13))))) -> ((e10) = (op1 (e11) (e11))) -> ((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> False).
% 54.71/54.88 do 0 intro. intros zenon_H199 zenon_H1be zenon_H179 zenon_H346 zenon_H345 zenon_H180 zenon_H155 zenon_H1c0 zenon_H20c zenon_H13 zenon_H15 zenon_H1b1 zenon_H172.
% 54.71/54.88 apply (zenon_and_s _ _ zenon_H199). zenon_intro zenon_H19b. zenon_intro zenon_H19a.
% 54.71/54.88 apply (zenon_and_s _ _ zenon_H19a). zenon_intro zenon_H16a. zenon_intro zenon_H19c.
% 54.71/54.88 apply (zenon_and_s _ _ zenon_H19c). zenon_intro zenon_H216. zenon_intro zenon_H215.
% 54.71/54.88 apply (zenon_and_s _ _ zenon_H215). zenon_intro zenon_H218. zenon_intro zenon_H217.
% 54.71/54.88 apply (zenon_and_s _ _ zenon_H217). zenon_intro zenon_H219. zenon_intro zenon_H211.
% 54.71/54.88 apply (zenon_L275_); trivial.
% 54.71/54.88 (* end of lemma zenon_L276_ *)
% 54.71/54.88 assert (zenon_L277_ : (((op1 (e11) (e10)) = (e11))/\(((op1 (e10) (e11)) = (e11))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11))))/\(((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12))))/\((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13))))))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> ((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) -> ((e10) = (op1 (e11) (e11))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> ((op1 (e10) (e13)) = (e10)) -> False).
% 54.71/54.88 do 0 intro. intros zenon_H259 zenon_H17 zenon_H15 zenon_H13 zenon_H1e zenon_H25 zenon_H1a0 zenon_H19b.
% 54.71/54.88 apply (zenon_and_s _ _ zenon_H259). zenon_intro zenon_H163. zenon_intro zenon_H25a.
% 54.71/54.88 apply (zenon_and_s _ _ zenon_H25a). zenon_intro zenon_H1fe. zenon_intro zenon_H149.
% 54.71/54.88 apply (zenon_and_s _ _ zenon_H149). zenon_intro zenon_H144. zenon_intro zenon_H14a.
% 54.71/54.88 apply (zenon_and_s _ _ zenon_H14a). zenon_intro zenon_H25c. zenon_intro zenon_H25b.
% 54.71/54.88 apply (zenon_and_s _ _ zenon_H25b). zenon_intro zenon_H25e. zenon_intro zenon_H25d.
% 54.71/54.88 apply (zenon_L261_); trivial.
% 54.71/54.88 (* end of lemma zenon_L277_ *)
% 54.71/54.88 assert (zenon_L278_ : (~((op1 (e13) (e13)) = (op1 (e13) (op1 (e13) (e11))))) -> ((op1 (e13) (e11)) = (e13)) -> False).
% 54.71/54.88 do 0 intro. intros zenon_H349 zenon_H1c3.
% 54.71/54.88 cut (((e13) = (op1 (e13) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H29f].
% 54.71/54.88 cut (((e13) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H238].
% 54.71/54.88 congruence.
% 54.71/54.88 apply zenon_H238. apply refl_equal.
% 54.71/54.88 apply zenon_H29f. apply sym_equal. exact zenon_H1c3.
% 54.71/54.88 (* end of lemma zenon_L278_ *)
% 54.71/54.88 assert (zenon_L279_ : ((op1 (e13) (op1 (e13) (e11))) = (e11)) -> ((op1 (e13) (e11)) = (e13)) -> ((op1 (e13) (e10)) = (e11)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> False).
% 54.71/54.88 do 0 intro. intros zenon_H34a zenon_H1c3 zenon_H34b zenon_H180.
% 54.71/54.88 elim (classic ((op1 (e13) (e13)) = (op1 (e13) (e13)))); [ zenon_intro zenon_H181 | zenon_intro zenon_H182 ].
% 54.71/54.88 cut (((op1 (e13) (e13)) = (op1 (e13) (e13))) = ((op1 (e13) (e10)) = (op1 (e13) (e13)))).
% 54.71/54.88 intro zenon_D_pnotp.
% 54.71/54.88 apply zenon_H180.
% 54.71/54.88 rewrite <- zenon_D_pnotp.
% 54.71/54.88 exact zenon_H181.
% 54.71/54.88 cut (((op1 (e13) (e13)) = (op1 (e13) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H182].
% 54.71/54.88 cut (((op1 (e13) (e13)) = (op1 (e13) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H183].
% 54.71/54.88 congruence.
% 54.71/54.88 cut (((op1 (e13) (op1 (e13) (e11))) = (e11)) = ((op1 (e13) (e13)) = (op1 (e13) (e10)))).
% 54.71/54.88 intro zenon_D_pnotp.
% 54.71/54.88 apply zenon_H183.
% 54.71/54.88 rewrite <- zenon_D_pnotp.
% 54.71/54.88 exact zenon_H34a.
% 54.71/54.88 cut (((e11) = (op1 (e13) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H34c].
% 54.71/54.88 cut (((op1 (e13) (op1 (e13) (e11))) = (op1 (e13) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H34d].
% 54.71/54.88 congruence.
% 54.71/54.88 elim (classic ((op1 (e13) (e13)) = (op1 (e13) (e13)))); [ zenon_intro zenon_H181 | zenon_intro zenon_H182 ].
% 54.71/54.88 cut (((op1 (e13) (e13)) = (op1 (e13) (e13))) = ((op1 (e13) (op1 (e13) (e11))) = (op1 (e13) (e13)))).
% 54.71/54.88 intro zenon_D_pnotp.
% 54.71/54.88 apply zenon_H34d.
% 54.71/54.88 rewrite <- zenon_D_pnotp.
% 54.71/54.88 exact zenon_H181.
% 54.71/54.88 cut (((op1 (e13) (e13)) = (op1 (e13) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H182].
% 54.71/54.88 cut (((op1 (e13) (e13)) = (op1 (e13) (op1 (e13) (e11))))); [idtac | apply NNPP; zenon_intro zenon_H349].
% 54.71/54.88 congruence.
% 54.71/54.88 apply (zenon_L278_); trivial.
% 54.71/54.88 apply zenon_H182. apply refl_equal.
% 54.71/54.88 apply zenon_H182. apply refl_equal.
% 54.71/54.88 apply zenon_H34c. apply sym_equal. exact zenon_H34b.
% 54.71/54.88 apply zenon_H182. apply refl_equal.
% 54.71/54.88 apply zenon_H182. apply refl_equal.
% 54.71/54.88 (* end of lemma zenon_L279_ *)
% 54.71/54.88 assert (zenon_L280_ : (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> ((op1 (e13) (e10)) = (e11)) -> ((op1 (e13) (op1 (e13) (e11))) = (e11)) -> ((e12) = (op1 (op1 (op1 (e11) (e11)) (op1 (e11) (e11))) (op1 (e11) (e11)))) -> ((e10) = (op1 (e11) (e11))) -> ((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> ((op1 (e13) (op1 (e13) (e13))) = (e13)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e13)) = (e10))\/(((op1 (e13) (e13)) = (e11))\/(((op1 (e13) (e13)) = (e12))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e13) (e13)) = (e13))) -> False).
% 54.71/54.88 do 0 intro. intros zenon_H1be zenon_H1b1 zenon_H34b zenon_H34a zenon_H155 zenon_H13 zenon_H15 zenon_H180 zenon_H345 zenon_H346 zenon_H179 zenon_H20c zenon_H1c0.
% 54.71/54.88 apply (zenon_or_s _ _ zenon_H1be); [ zenon_intro zenon_H1b0 | zenon_intro zenon_H1c1 ].
% 54.71/54.88 apply (zenon_L84_); trivial.
% 54.71/54.88 apply (zenon_or_s _ _ zenon_H1c1); [ zenon_intro zenon_H1c3 | zenon_intro zenon_H1c2 ].
% 54.71/54.88 apply (zenon_L279_); trivial.
% 54.71/54.88 apply (zenon_or_s _ _ zenon_H1c2); [ zenon_intro zenon_H1ba | zenon_intro zenon_H1c4 ].
% 54.71/54.88 apply (zenon_L270_); trivial.
% 54.71/54.88 exact (zenon_H1c0 zenon_H1c4).
% 54.71/54.88 (* end of lemma zenon_L280_ *)
% 54.71/54.88 assert (zenon_L281_ : (~((op1 (e13) (e11)) = (op1 (e13) (op1 (e13) (e11))))) -> ((op1 (e13) (e11)) = (e11)) -> False).
% 54.71/54.88 do 0 intro. intros zenon_H34e zenon_H1ff.
% 54.71/54.88 cut (((e11) = (op1 (e13) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H200].
% 54.71/54.88 cut (((e13) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H238].
% 54.71/54.88 congruence.
% 54.71/54.88 apply zenon_H238. apply refl_equal.
% 54.71/54.88 apply zenon_H200. apply sym_equal. exact zenon_H1ff.
% 54.71/54.88 (* end of lemma zenon_L281_ *)
% 54.71/54.88 assert (zenon_L282_ : ((op1 (e13) (op1 (e13) (e11))) = (e11)) -> ((op1 (e13) (e11)) = (e11)) -> ((op1 (e12) (e11)) = (e11)) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> False).
% 54.71/54.88 do 0 intro. intros zenon_H34a zenon_H1ff zenon_H306 zenon_H2f6.
% 54.71/54.88 elim (classic ((op1 (e13) (e11)) = (op1 (e13) (e11)))); [ zenon_intro zenon_H173 | zenon_intro zenon_H174 ].
% 54.71/54.88 cut (((op1 (e13) (e11)) = (op1 (e13) (e11))) = ((op1 (e12) (e11)) = (op1 (e13) (e11)))).
% 54.71/54.88 intro zenon_D_pnotp.
% 54.71/54.88 apply zenon_H2f6.
% 54.71/54.88 rewrite <- zenon_D_pnotp.
% 54.71/54.88 exact zenon_H173.
% 54.71/54.88 cut (((op1 (e13) (e11)) = (op1 (e13) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H174].
% 54.71/54.88 cut (((op1 (e13) (e11)) = (op1 (e12) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H34f].
% 54.71/54.88 congruence.
% 54.71/54.88 cut (((op1 (e13) (op1 (e13) (e11))) = (e11)) = ((op1 (e13) (e11)) = (op1 (e12) (e11)))).
% 54.71/54.88 intro zenon_D_pnotp.
% 54.71/54.88 apply zenon_H34f.
% 54.71/54.88 rewrite <- zenon_D_pnotp.
% 54.71/54.88 exact zenon_H34a.
% 54.71/54.88 cut (((e11) = (op1 (e12) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H307].
% 54.71/54.88 cut (((op1 (e13) (op1 (e13) (e11))) = (op1 (e13) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H350].
% 54.71/54.88 congruence.
% 54.71/54.88 elim (classic ((op1 (e13) (e11)) = (op1 (e13) (e11)))); [ zenon_intro zenon_H173 | zenon_intro zenon_H174 ].
% 54.71/54.88 cut (((op1 (e13) (e11)) = (op1 (e13) (e11))) = ((op1 (e13) (op1 (e13) (e11))) = (op1 (e13) (e11)))).
% 54.71/54.88 intro zenon_D_pnotp.
% 54.71/54.88 apply zenon_H350.
% 54.71/54.88 rewrite <- zenon_D_pnotp.
% 54.71/54.88 exact zenon_H173.
% 54.71/54.88 cut (((op1 (e13) (e11)) = (op1 (e13) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H174].
% 54.71/54.88 cut (((op1 (e13) (e11)) = (op1 (e13) (op1 (e13) (e11))))); [idtac | apply NNPP; zenon_intro zenon_H34e].
% 54.71/54.88 congruence.
% 54.71/54.88 apply (zenon_L281_); trivial.
% 54.71/54.88 apply zenon_H174. apply refl_equal.
% 54.71/54.88 apply zenon_H174. apply refl_equal.
% 54.71/54.88 apply zenon_H307. apply sym_equal. exact zenon_H306.
% 54.71/54.88 apply zenon_H174. apply refl_equal.
% 54.71/54.88 apply zenon_H174. apply refl_equal.
% 54.71/54.88 (* end of lemma zenon_L282_ *)
% 54.71/54.88 assert (zenon_L283_ : (~((op1 (e13) (e11)) = (op1 (e13) (op1 (e13) (e12))))) -> ((op1 (e13) (e12)) = (e11)) -> False).
% 54.71/54.88 do 0 intro. intros zenon_H351 zenon_H31d.
% 54.71/54.88 cut (((e11) = (op1 (e13) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H31e].
% 54.71/54.88 cut (((e13) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H238].
% 54.71/54.88 congruence.
% 54.71/54.88 apply zenon_H238. apply refl_equal.
% 54.71/54.88 apply zenon_H31e. apply sym_equal. exact zenon_H31d.
% 54.71/54.88 (* end of lemma zenon_L283_ *)
% 54.71/54.88 assert (zenon_L284_ : ((op1 (e13) (op1 (e13) (e12))) = (e12)) -> ((op1 (e13) (e12)) = (e11)) -> ((op1 (e10) (e11)) = (e12)) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> False).
% 54.71/54.88 do 0 intro. intros zenon_H352 zenon_H31d zenon_H1dc zenon_H1fd.
% 54.71/54.88 elim (classic ((op1 (e13) (e11)) = (op1 (e13) (e11)))); [ zenon_intro zenon_H173 | zenon_intro zenon_H174 ].
% 54.71/54.88 cut (((op1 (e13) (e11)) = (op1 (e13) (e11))) = ((op1 (e10) (e11)) = (op1 (e13) (e11)))).
% 54.71/54.88 intro zenon_D_pnotp.
% 54.71/54.88 apply zenon_H1fd.
% 54.71/54.88 rewrite <- zenon_D_pnotp.
% 54.71/54.88 exact zenon_H173.
% 54.71/54.88 cut (((op1 (e13) (e11)) = (op1 (e13) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H174].
% 54.71/54.88 cut (((op1 (e13) (e11)) = (op1 (e10) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H353].
% 54.71/54.88 congruence.
% 54.71/54.88 cut (((op1 (e13) (op1 (e13) (e12))) = (e12)) = ((op1 (e13) (e11)) = (op1 (e10) (e11)))).
% 54.71/54.88 intro zenon_D_pnotp.
% 54.71/54.88 apply zenon_H353.
% 54.71/54.88 rewrite <- zenon_D_pnotp.
% 54.71/54.88 exact zenon_H352.
% 54.71/54.88 cut (((e12) = (op1 (e10) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H1e6].
% 54.71/54.88 cut (((op1 (e13) (op1 (e13) (e12))) = (op1 (e13) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H354].
% 54.71/54.88 congruence.
% 54.71/54.88 elim (classic ((op1 (e13) (e11)) = (op1 (e13) (e11)))); [ zenon_intro zenon_H173 | zenon_intro zenon_H174 ].
% 54.71/54.88 cut (((op1 (e13) (e11)) = (op1 (e13) (e11))) = ((op1 (e13) (op1 (e13) (e12))) = (op1 (e13) (e11)))).
% 54.71/54.88 intro zenon_D_pnotp.
% 54.71/54.88 apply zenon_H354.
% 54.71/54.88 rewrite <- zenon_D_pnotp.
% 54.71/54.88 exact zenon_H173.
% 54.71/54.88 cut (((op1 (e13) (e11)) = (op1 (e13) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H174].
% 54.71/54.88 cut (((op1 (e13) (e11)) = (op1 (e13) (op1 (e13) (e12))))); [idtac | apply NNPP; zenon_intro zenon_H351].
% 54.71/54.88 congruence.
% 54.71/54.88 apply (zenon_L283_); trivial.
% 54.71/54.88 apply zenon_H174. apply refl_equal.
% 54.71/54.88 apply zenon_H174. apply refl_equal.
% 54.71/54.88 apply zenon_H1e6. apply sym_equal. exact zenon_H1dc.
% 54.71/54.88 apply zenon_H174. apply refl_equal.
% 54.71/54.88 apply zenon_H174. apply refl_equal.
% 54.71/54.88 (* end of lemma zenon_L284_ *)
% 54.71/54.88 assert (zenon_L285_ : ((op1 (e13) (op1 (e13) (e13))) = (e13)) -> ((op1 (e13) (e13)) = (e11)) -> ((op1 (e12) (e11)) = (e13)) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> False).
% 54.71/54.88 do 0 intro. intros zenon_H346 zenon_H210 zenon_H2e3 zenon_H2f6.
% 54.71/54.88 elim (classic ((op1 (e13) (e11)) = (op1 (e13) (e11)))); [ zenon_intro zenon_H173 | zenon_intro zenon_H174 ].
% 54.71/54.88 cut (((op1 (e13) (e11)) = (op1 (e13) (e11))) = ((op1 (e12) (e11)) = (op1 (e13) (e11)))).
% 54.71/54.88 intro zenon_D_pnotp.
% 54.71/54.88 apply zenon_H2f6.
% 54.71/54.88 rewrite <- zenon_D_pnotp.
% 54.71/54.88 exact zenon_H173.
% 54.71/54.88 cut (((op1 (e13) (e11)) = (op1 (e13) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H174].
% 54.71/54.88 cut (((op1 (e13) (e11)) = (op1 (e12) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H34f].
% 54.71/54.88 congruence.
% 54.71/54.88 cut (((op1 (e13) (op1 (e13) (e13))) = (e13)) = ((op1 (e13) (e11)) = (op1 (e12) (e11)))).
% 54.71/54.88 intro zenon_D_pnotp.
% 54.71/54.88 apply zenon_H34f.
% 54.71/54.88 rewrite <- zenon_D_pnotp.
% 54.71/54.88 exact zenon_H346.
% 54.71/54.88 cut (((e13) = (op1 (e12) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H2e4].
% 54.71/54.88 cut (((op1 (e13) (op1 (e13) (e13))) = (op1 (e13) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H347].
% 54.71/54.88 congruence.
% 54.71/54.88 elim (classic ((op1 (e13) (e11)) = (op1 (e13) (e11)))); [ zenon_intro zenon_H173 | zenon_intro zenon_H174 ].
% 54.71/54.88 cut (((op1 (e13) (e11)) = (op1 (e13) (e11))) = ((op1 (e13) (op1 (e13) (e13))) = (op1 (e13) (e11)))).
% 54.71/54.88 intro zenon_D_pnotp.
% 54.71/54.88 apply zenon_H347.
% 54.71/54.88 rewrite <- zenon_D_pnotp.
% 54.71/54.88 exact zenon_H173.
% 54.71/54.88 cut (((op1 (e13) (e11)) = (op1 (e13) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H174].
% 54.71/54.88 cut (((op1 (e13) (e11)) = (op1 (e13) (op1 (e13) (e13))))); [idtac | apply NNPP; zenon_intro zenon_H344].
% 54.71/54.88 congruence.
% 54.71/54.88 apply (zenon_L268_); trivial.
% 54.71/54.88 apply zenon_H174. apply refl_equal.
% 54.71/54.88 apply zenon_H174. apply refl_equal.
% 54.71/54.88 apply zenon_H2e4. apply sym_equal. exact zenon_H2e3.
% 54.71/54.88 apply zenon_H174. apply refl_equal.
% 54.71/54.88 apply zenon_H174. apply refl_equal.
% 54.71/54.88 (* end of lemma zenon_L285_ *)
% 54.71/54.88 assert (zenon_L286_ : (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e13) (e13)) = (e13))) -> (((op1 (e13) (e13)) = (e10))\/(((op1 (e13) (e13)) = (e11))\/(((op1 (e13) (e13)) = (e12))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> ((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) -> ((e10) = (op1 (e11) (e11))) -> ((e12) = (op1 (op1 (op1 (e11) (e11)) (op1 (e11) (e11))) (op1 (e11) (e11)))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> ((op1 (e12) (e11)) = (e11)) -> ((op1 (e13) (op1 (e13) (e11))) = (e11)) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> ((op1 (e10) (e11)) = (e12)) -> ((op1 (e13) (op1 (e13) (e12))) = (e12)) -> ((op1 (e13) (op1 (e13) (e13))) = (e13)) -> ((op1 (e12) (e11)) = (e13)) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> False).
% 54.71/54.88 do 0 intro. intros zenon_H355 zenon_H1c0 zenon_H20c zenon_H179 zenon_H345 zenon_H180 zenon_H15 zenon_H13 zenon_H155 zenon_H1b1 zenon_H1be zenon_H306 zenon_H34a zenon_H1fd zenon_H1dc zenon_H352 zenon_H346 zenon_H2e3 zenon_H2f6.
% 54.71/54.88 apply (zenon_or_s _ _ zenon_H355); [ zenon_intro zenon_H34b | zenon_intro zenon_H356 ].
% 54.71/54.88 apply (zenon_L280_); trivial.
% 54.71/54.88 apply (zenon_or_s _ _ zenon_H356); [ zenon_intro zenon_H1ff | zenon_intro zenon_H357 ].
% 54.71/54.88 apply (zenon_L282_); trivial.
% 54.71/54.88 apply (zenon_or_s _ _ zenon_H357); [ zenon_intro zenon_H31d | zenon_intro zenon_H210 ].
% 54.71/54.88 apply (zenon_L284_); trivial.
% 54.71/54.88 apply (zenon_L285_); trivial.
% 54.71/54.88 (* end of lemma zenon_L286_ *)
% 54.71/54.88 assert (zenon_L287_ : (((op1 (e13) (e13)) = (e10))\/(((op1 (e13) (e13)) = (e11))\/(((op1 (e13) (e13)) = (e12))\/((op1 (e13) (e13)) = (e13))))) -> ((op1 (e13) (e11)) = (e13)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> ((op1 (e12) (e11)) = (e13)) -> ((op1 (e13) (op1 (e13) (e13))) = (e13)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> ((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) -> ((e10) = (op1 (e11) (e11))) -> ((e12) = (op1 (op1 (op1 (e11) (e11)) (op1 (e11) (e11))) (op1 (e11) (e11)))) -> (~((op1 (e13) (e13)) = (e13))) -> False).
% 54.71/54.88 do 0 intro. intros zenon_H20c zenon_H1c3 zenon_H172 zenon_H2f6 zenon_H2e3 zenon_H346 zenon_H180 zenon_H15 zenon_H13 zenon_H155 zenon_H1c0.
% 54.71/54.88 apply (zenon_or_s _ _ zenon_H20c); [ zenon_intro zenon_H196 | zenon_intro zenon_H20e ].
% 54.71/54.88 apply (zenon_L272_); trivial.
% 54.71/54.88 apply (zenon_or_s _ _ zenon_H20e); [ zenon_intro zenon_H210 | zenon_intro zenon_H20f ].
% 54.71/54.88 apply (zenon_L285_); trivial.
% 54.71/54.88 apply (zenon_or_s _ _ zenon_H20f); [ zenon_intro zenon_H17f | zenon_intro zenon_H1c4 ].
% 54.71/54.88 apply (zenon_L71_); trivial.
% 54.71/54.88 exact (zenon_H1c0 zenon_H1c4).
% 54.71/54.88 (* end of lemma zenon_L287_ *)
% 54.71/54.88 assert (zenon_L288_ : (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e13) (e13)) = (e13))) -> ((e12) = (op1 (op1 (op1 (e11) (e11)) (op1 (e11) (e11))) (op1 (e11) (e11)))) -> ((e10) = (op1 (e11) (e11))) -> ((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> ((op1 (e13) (op1 (e13) (e13))) = (e13)) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> ((op1 (e13) (e11)) = (e13)) -> (((op1 (e13) (e13)) = (e10))\/(((op1 (e13) (e13)) = (e11))\/(((op1 (e13) (e13)) = (e12))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e12) (e12)) = (e13))) -> ((op1 (e12) (e13)) = (e12)) -> (~((e12) = (e13))) -> False).
% 54.71/54.88 do 0 intro. intros zenon_H2e7 zenon_H2ad zenon_H1c0 zenon_H155 zenon_H13 zenon_H15 zenon_H180 zenon_H346 zenon_H2f6 zenon_H172 zenon_H1c3 zenon_H20c zenon_H29d zenon_H22f zenon_H236.
% 54.71/54.88 apply (zenon_or_s _ _ zenon_H2e7); [ zenon_intro zenon_H2ac | zenon_intro zenon_H2e8 ].
% 54.71/54.88 apply (zenon_L154_); trivial.
% 54.71/54.88 apply (zenon_or_s _ _ zenon_H2e8); [ zenon_intro zenon_H2e3 | zenon_intro zenon_H2e9 ].
% 54.71/54.88 apply (zenon_L287_); trivial.
% 54.71/54.88 apply (zenon_or_s _ _ zenon_H2e9); [ zenon_intro zenon_H1d3 | zenon_intro zenon_H235 ].
% 54.71/54.88 exact (zenon_H29d zenon_H1d3).
% 54.71/54.88 apply (zenon_L118_); trivial.
% 54.71/54.88 (* end of lemma zenon_L288_ *)
% 54.71/54.88 assert (zenon_L289_ : ((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) -> ((op1 (e11) (e12)) = (e13)) -> ((op1 (e11) (e11)) = (e12)) -> ((e10) = (op1 (e11) (e11))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> False).
% 54.71/54.88 do 0 intro. intros zenon_H15 zenon_H1f3 zenon_H1b8 zenon_H13 zenon_H358.
% 54.71/54.88 elim (classic ((op1 (e11) (e12)) = (op1 (e11) (e12)))); [ zenon_intro zenon_H1aa | zenon_intro zenon_H1ab ].
% 54.71/54.88 cut (((op1 (e11) (e12)) = (op1 (e11) (e12))) = ((op1 (e10) (e12)) = (op1 (e11) (e12)))).
% 54.71/54.88 intro zenon_D_pnotp.
% 54.71/54.88 apply zenon_H358.
% 54.71/54.88 rewrite <- zenon_D_pnotp.
% 54.71/54.88 exact zenon_H1aa.
% 54.71/54.88 cut (((op1 (e11) (e12)) = (op1 (e11) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H1ab].
% 54.71/54.88 cut (((op1 (e11) (e12)) = (op1 (e10) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H359].
% 54.71/54.88 congruence.
% 54.71/54.88 cut (((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) = ((op1 (e11) (e12)) = (op1 (e10) (e12)))).
% 54.71/54.88 intro zenon_D_pnotp.
% 54.71/54.88 apply zenon_H359.
% 54.71/54.88 rewrite <- zenon_D_pnotp.
% 54.71/54.88 exact zenon_H15.
% 54.71/54.88 cut (((op1 (op1 (e11) (e11)) (op1 (e11) (e11))) = (op1 (e10) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H1b7].
% 54.71/54.88 cut (((e13) = (op1 (e11) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H1f6].
% 54.71/54.88 congruence.
% 54.71/54.88 elim (classic ((op1 (e11) (e12)) = (op1 (e11) (e12)))); [ zenon_intro zenon_H1aa | zenon_intro zenon_H1ab ].
% 54.71/54.88 cut (((op1 (e11) (e12)) = (op1 (e11) (e12))) = ((e13) = (op1 (e11) (e12)))).
% 54.71/54.88 intro zenon_D_pnotp.
% 54.71/54.88 apply zenon_H1f6.
% 54.71/54.88 rewrite <- zenon_D_pnotp.
% 54.71/54.88 exact zenon_H1aa.
% 54.71/54.88 cut (((op1 (e11) (e12)) = (op1 (e11) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H1ab].
% 54.71/54.88 cut (((op1 (e11) (e12)) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H35a].
% 54.71/54.88 congruence.
% 54.71/54.88 exact (zenon_H35a zenon_H1f3).
% 54.71/54.88 apply zenon_H1ab. apply refl_equal.
% 54.71/54.88 apply zenon_H1ab. apply refl_equal.
% 54.71/54.88 apply (zenon_L85_); trivial.
% 54.71/54.88 apply zenon_H1ab. apply refl_equal.
% 54.71/54.88 apply zenon_H1ab. apply refl_equal.
% 54.71/54.88 (* end of lemma zenon_L289_ *)
% 54.71/54.88 assert (zenon_L290_ : (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e12) (e12)) = (e13))) -> ((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) -> ((op1 (e11) (e11)) = (e12)) -> ((e10) = (op1 (e11) (e11))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> False).
% 54.71/54.88 do 0 intro. intros zenon_H2c9 zenon_H1e zenon_H358 zenon_H29d zenon_H15 zenon_H1b8 zenon_H13 zenon_H18e.
% 54.71/54.88 apply (zenon_or_s _ _ zenon_H2c9); [ zenon_intro zenon_H1d | zenon_intro zenon_H2ca ].
% 54.71/54.88 apply (zenon_L3_); trivial.
% 54.71/54.88 apply (zenon_or_s _ _ zenon_H2ca); [ zenon_intro zenon_H1f3 | zenon_intro zenon_H2cb ].
% 54.71/54.88 apply (zenon_L289_); trivial.
% 54.71/54.88 apply (zenon_or_s _ _ zenon_H2cb); [ zenon_intro zenon_H1d3 | zenon_intro zenon_H1ba ].
% 54.71/54.88 exact (zenon_H29d zenon_H1d3).
% 54.71/54.88 apply (zenon_L86_); trivial.
% 54.71/54.88 (* end of lemma zenon_L290_ *)
% 54.71/54.88 assert (zenon_L291_ : (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (~((e12) = (e13))) -> (((op1 (e13) (e13)) = (e10))\/(((op1 (e13) (e13)) = (e11))\/(((op1 (e13) (e13)) = (e12))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> ((op1 (e13) (op1 (e13) (e13))) = (e13)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e13)) = (e13))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e12) (e12)) = (e12))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> ((op1 (e12) (e11)) = (e11)) -> ((op1 (e13) (op1 (e13) (e11))) = (e11)) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> ((op1 (e13) (op1 (e13) (e12))) = (e12)) -> (~((op1 (e11) (e11)) = (e13))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e12)) = (e13))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e12) (e11)) = (e12))) -> ((e12) = (op1 (op1 (op1 (e11) (e11)) (op1 (e11) (e11))) (op1 (e11) (e11)))) -> ((e10) = (op1 (e11) (e11))) -> ((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> False).
% 54.71/54.88 do 0 intro. intros zenon_H209 zenon_H236 zenon_H20c zenon_H2f6 zenon_H346 zenon_H180 zenon_H1c0 zenon_H2ad zenon_H2e7 zenon_H1d1 zenon_H21a zenon_H23b zenon_H355 zenon_H179 zenon_H345 zenon_H1b1 zenon_H1be zenon_H306 zenon_H34a zenon_H1fd zenon_H352 zenon_H2b8 zenon_H17 zenon_H313 zenon_H18e zenon_H29d zenon_H358 zenon_H1e zenon_H2c9 zenon_H23c zenon_H155 zenon_H13 zenon_H15 zenon_H172.
% 54.71/54.88 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H1dc | zenon_intro zenon_H20a ].
% 54.71/54.88 apply (zenon_or_s _ _ zenon_H313); [ zenon_intro zenon_H16 | zenon_intro zenon_H314 ].
% 54.71/54.88 apply (zenon_L2_); trivial.
% 54.71/54.88 apply (zenon_or_s _ _ zenon_H314); [ zenon_intro zenon_H2b7 | zenon_intro zenon_H315 ].
% 54.71/54.88 exact (zenon_H2b8 zenon_H2b7).
% 54.71/54.88 apply (zenon_or_s _ _ zenon_H315); [ zenon_intro zenon_H2e3 | zenon_intro zenon_H1c3 ].
% 54.71/54.88 apply (zenon_L286_); trivial.
% 54.71/54.88 apply (zenon_or_s _ _ zenon_H23b); [ zenon_intro zenon_H21b | zenon_intro zenon_H23d ].
% 54.71/54.88 apply (zenon_L109_); trivial.
% 54.71/54.88 apply (zenon_or_s _ _ zenon_H23d); [ zenon_intro zenon_H202 | zenon_intro zenon_H23e ].
% 54.71/54.88 exact (zenon_H23c zenon_H202).
% 54.71/54.88 apply (zenon_or_s _ _ zenon_H23e); [ zenon_intro zenon_H1cb | zenon_intro zenon_H22f ].
% 54.71/54.88 exact (zenon_H1d1 zenon_H1cb).
% 54.71/54.88 apply (zenon_L288_); trivial.
% 54.71/54.88 apply (zenon_or_s _ _ zenon_H20a); [ zenon_intro zenon_H1b8 | zenon_intro zenon_H20b ].
% 54.71/54.88 apply (zenon_L290_); trivial.
% 54.71/54.88 apply (zenon_or_s _ _ zenon_H20b); [ zenon_intro zenon_H202 | zenon_intro zenon_H171 ].
% 54.71/54.88 exact (zenon_H23c zenon_H202).
% 54.71/54.88 apply (zenon_L69_); trivial.
% 54.71/54.88 (* end of lemma zenon_L291_ *)
% 54.71/54.88 assert (zenon_L292_ : ((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e12) (e11)) = (e12))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((e12) = (e13))) -> (~((op1 (e12) (e12)) = (e13))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> ((op1 (e13) (op1 (e13) (e13))) = (e13)) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> ((e12) = (op1 (op1 (op1 (e11) (e11)) (op1 (e11) (e11))) (op1 (e11) (e11)))) -> (~((op1 (e13) (e13)) = (e13))) -> (((op1 (e13) (e13)) = (e10))\/(((op1 (e13) (e13)) = (e11))\/(((op1 (e13) (e13)) = (e12))\/((op1 (e13) (e13)) = (e13))))) -> ((op1 (e13) (op1 (e13) (e11))) = (e11)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> ((op1 (e12) (e11)) = (e11)) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> ((op1 (e13) (op1 (e13) (e12))) = (e12)) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e11) (e11)) = (e13))) -> ((e10) = (op1 (e11) (e11))) -> ((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> False).
% 54.71/54.88 do 0 intro. intros zenon_H224 zenon_H313 zenon_H21a zenon_H23c zenon_H2e7 zenon_H236 zenon_H29d zenon_H172 zenon_H2ad zenon_H23b zenon_H1be zenon_H179 zenon_H346 zenon_H345 zenon_H155 zenon_H1c0 zenon_H20c zenon_H34a zenon_H180 zenon_H1b1 zenon_H2f6 zenon_H306 zenon_H1fd zenon_H352 zenon_H355 zenon_H2b8 zenon_H13 zenon_H15 zenon_H17 zenon_H2c9 zenon_H18e zenon_H358 zenon_H1e zenon_H209.
% 54.71/54.88 apply (zenon_or_s _ _ zenon_H224); [ zenon_intro zenon_H1d1 | zenon_intro zenon_H1d1 ].
% 54.71/54.88 apply (zenon_L291_); trivial.
% 54.71/54.88 apply (zenon_L291_); trivial.
% 54.71/54.88 (* end of lemma zenon_L292_ *)
% 54.71/54.88 assert (zenon_L293_ : (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e13) (e10)) = (e12)) -> ((op1 (e13) (op1 (e13) (e10))) = (e10)) -> (~((op1 (e12) (e12)) = (e11))) -> (~((op1 (e12) (e12)) = (e12))) -> (~((op1 (e12) (e12)) = (e13))) -> False).
% 54.71/54.88 do 0 intro. intros zenon_H1da zenon_H1d8 zenon_H16b zenon_H340 zenon_H23f zenon_H1d1 zenon_H29d.
% 54.71/54.88 apply (zenon_or_s _ _ zenon_H1da); [ zenon_intro zenon_H1e0 | zenon_intro zenon_H1df ].
% 54.71/54.88 elim (classic ((op1 (e13) (e12)) = (op1 (e13) (e12)))); [ zenon_intro zenon_H17a | zenon_intro zenon_H17b ].
% 54.71/54.88 cut (((op1 (e13) (e12)) = (op1 (e13) (e12))) = ((op1 (e12) (e12)) = (op1 (e13) (e12)))).
% 54.71/54.88 intro zenon_D_pnotp.
% 54.71/54.88 apply zenon_H1d8.
% 54.71/54.88 rewrite <- zenon_D_pnotp.
% 54.71/54.88 exact zenon_H17a.
% 54.71/54.88 cut (((op1 (e13) (e12)) = (op1 (e13) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H17b].
% 54.71/54.88 cut (((op1 (e13) (e12)) = (op1 (e12) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H1d9].
% 54.71/54.88 congruence.
% 54.71/54.88 cut (((op1 (e13) (op1 (e13) (e10))) = (e10)) = ((op1 (e13) (e12)) = (op1 (e12) (e12)))).
% 54.71/54.88 intro zenon_D_pnotp.
% 54.71/54.88 apply zenon_H1d9.
% 54.71/54.88 rewrite <- zenon_D_pnotp.
% 54.71/54.88 exact zenon_H340.
% 54.71/54.88 cut (((e10) = (op1 (e12) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H29c].
% 54.71/54.88 cut (((op1 (e13) (op1 (e13) (e10))) = (op1 (e13) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H341].
% 54.71/54.88 congruence.
% 54.71/54.88 elim (classic ((op1 (e13) (e12)) = (op1 (e13) (e12)))); [ zenon_intro zenon_H17a | zenon_intro zenon_H17b ].
% 54.71/54.88 cut (((op1 (e13) (e12)) = (op1 (e13) (e12))) = ((op1 (e13) (op1 (e13) (e10))) = (op1 (e13) (e12)))).
% 54.71/54.88 intro zenon_D_pnotp.
% 54.71/54.88 apply zenon_H341.
% 54.71/54.88 rewrite <- zenon_D_pnotp.
% 54.71/54.88 exact zenon_H17a.
% 54.71/54.88 cut (((op1 (e13) (e12)) = (op1 (e13) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H17b].
% 54.71/54.88 cut (((op1 (e13) (e12)) = (op1 (e13) (op1 (e13) (e10))))); [idtac | apply NNPP; zenon_intro zenon_H33f].
% 54.71/54.88 congruence.
% 54.71/54.88 apply (zenon_L264_); trivial.
% 54.71/54.88 apply zenon_H17b. apply refl_equal.
% 54.71/54.88 apply zenon_H17b. apply refl_equal.
% 54.71/54.88 apply zenon_H29c. apply sym_equal. exact zenon_H1e0.
% 54.71/54.88 apply zenon_H17b. apply refl_equal.
% 54.71/54.88 apply zenon_H17b. apply refl_equal.
% 54.71/54.88 apply (zenon_or_s _ _ zenon_H1df); [ zenon_intro zenon_H1e2 | zenon_intro zenon_H1e1 ].
% 54.71/54.88 exact (zenon_H23f zenon_H1e2).
% 54.71/54.88 apply (zenon_or_s _ _ zenon_H1e1); [ zenon_intro zenon_H1cb | zenon_intro zenon_H1d3 ].
% 54.71/54.88 exact (zenon_H1d1 zenon_H1cb).
% 54.71/54.88 exact (zenon_H29d zenon_H1d3).
% 54.71/54.88 (* end of lemma zenon_L293_ *)
% 54.71/54.88 assert (zenon_L294_ : (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e12) (e12)) = (e13))) -> (~((op1 (e12) (e12)) = (e12))) -> (~((op1 (e12) (e12)) = (e11))) -> ((op1 (e13) (op1 (e13) (e10))) = (e10)) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> ((e12) = (op1 (op1 (op1 (e11) (e11)) (op1 (e11) (e11))) (op1 (e11) (e11)))) -> ((e10) = (op1 (e11) (e11))) -> ((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> False).
% 54.71/54.88 do 0 intro. intros zenon_H186 zenon_H29d zenon_H1d1 zenon_H23f zenon_H340 zenon_H1d8 zenon_H1da zenon_H172 zenon_H179 zenon_H155 zenon_H13 zenon_H15 zenon_H180.
% 54.71/54.88 apply (zenon_or_s _ _ zenon_H186); [ zenon_intro zenon_H16b | zenon_intro zenon_H187 ].
% 54.71/54.88 apply (zenon_L293_); trivial.
% 54.71/54.88 apply (zenon_or_s _ _ zenon_H187); [ zenon_intro zenon_H171 | zenon_intro zenon_H188 ].
% 54.71/54.88 apply (zenon_L69_); trivial.
% 54.71/54.88 apply (zenon_or_s _ _ zenon_H188); [ zenon_intro zenon_H178 | zenon_intro zenon_H17f ].
% 54.71/54.88 apply (zenon_L70_); trivial.
% 54.71/54.88 apply (zenon_L71_); trivial.
% 54.71/54.88 (* end of lemma zenon_L294_ *)
% 54.71/54.88 assert (zenon_L295_ : (((op1 (e11) (e13)) = (e11))/\(((op1 (e13) (e11)) = (e11))/\(((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e13) (e13)) = (e10))))/\(((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11))))/\(((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e13) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13))))))))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> ((op1 (e13) (op1 (e13) (e13))) = (e13)) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> ((e12) = (op1 (op1 (op1 (e11) (e11)) (op1 (e11) (e11))) (op1 (e11) (e11)))) -> (~((op1 (e13) (e13)) = (e13))) -> (((op1 (e13) (e13)) = (e10))\/(((op1 (e13) (e13)) = (e11))\/(((op1 (e13) (e13)) = (e12))\/((op1 (e13) (e13)) = (e13))))) -> ((e10) = (op1 (e11) (e11))) -> ((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> False).
% 54.71/54.88 do 0 intro. intros zenon_H212 zenon_H1be zenon_H179 zenon_H346 zenon_H345 zenon_H180 zenon_H155 zenon_H1c0 zenon_H20c zenon_H13 zenon_H15 zenon_H1b1 zenon_H172.
% 54.71/54.88 apply (zenon_and_s _ _ zenon_H212). zenon_intro zenon_H214. zenon_intro zenon_H213.
% 54.71/54.88 apply (zenon_and_s _ _ zenon_H213). zenon_intro zenon_H1ff. zenon_intro zenon_H19c.
% 54.71/54.88 apply (zenon_and_s _ _ zenon_H19c). zenon_intro zenon_H216. zenon_intro zenon_H215.
% 54.71/54.88 apply (zenon_and_s _ _ zenon_H215). zenon_intro zenon_H218. zenon_intro zenon_H217.
% 54.71/54.88 apply (zenon_and_s _ _ zenon_H217). zenon_intro zenon_H219. zenon_intro zenon_H211.
% 54.71/54.88 apply (zenon_L275_); trivial.
% 54.71/54.88 (* end of lemma zenon_L295_ *)
% 54.71/54.88 assert (zenon_L296_ : (((op1 (e13) (e12)) = (e13))/\(((op1 (e12) (e13)) = (e13))/\(((~((op1 (e12) (e10)) = (e12)))\/(~((op1 (e12) (e12)) = (e10))))/\(((~((op1 (e12) (e11)) = (e12)))\/(~((op1 (e12) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13))))))))) -> (((op1 (e13) (e13)) = (e10))\/(((op1 (e13) (e13)) = (e11))\/(((op1 (e13) (e13)) = (e12))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> ((op1 (e13) (op1 (e13) (e13))) = (e13)) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> ((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) -> ((e10) = (op1 (e11) (e11))) -> ((e12) = (op1 (op1 (op1 (e11) (e11)) (op1 (e11) (e11))) (op1 (e11) (e11)))) -> (~((op1 (e13) (e13)) = (e13))) -> False).
% 54.71/54.88 do 0 intro. intros zenon_H240 zenon_H20c zenon_H179 zenon_H346 zenon_H345 zenon_H180 zenon_H15 zenon_H13 zenon_H155 zenon_H1c0.
% 54.71/54.88 apply (zenon_and_s _ _ zenon_H240). zenon_intro zenon_H1ba. zenon_intro zenon_H241.
% 54.71/54.88 apply (zenon_L270_); trivial.
% 54.71/54.88 (* end of lemma zenon_L296_ *)
% 54.71/54.88 assert (zenon_L297_ : (((op1 (e13) (e13)) = (e13))/\(((op1 (e13) (e13)) = (e13))/\(((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e13) (e13)) = (e10))))/\(((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11))))/\(((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e13) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13))))))))) -> (~((op1 (e13) (e13)) = (e13))) -> False).
% 54.71/54.88 do 0 intro. intros zenon_H242 zenon_H1c0.
% 54.71/54.88 apply (zenon_and_s _ _ zenon_H242). zenon_intro zenon_H1c4. zenon_intro zenon_H243.
% 54.71/54.88 apply (zenon_and_s _ _ zenon_H243). zenon_intro zenon_H1c4. zenon_intro zenon_H19c.
% 54.71/54.88 exact (zenon_H1c0 zenon_H1c4).
% 54.71/54.88 (* end of lemma zenon_L297_ *)
% 54.71/54.88 assert (zenon_L298_ : (~((op1 (e13) (e13)) = (op1 (e13) (op1 (e13) (e13))))) -> ((op1 (e13) (e13)) = (e13)) -> False).
% 54.71/54.88 do 0 intro. intros zenon_H35b zenon_H1c4.
% 54.71/54.88 cut (((e13) = (op1 (e13) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H35c].
% 54.71/54.88 cut (((e13) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H238].
% 54.71/54.88 congruence.
% 54.71/54.88 apply zenon_H238. apply refl_equal.
% 54.71/54.88 apply zenon_H35c. apply sym_equal. exact zenon_H1c4.
% 54.71/54.88 (* end of lemma zenon_L298_ *)
% 54.71/54.88 assert (zenon_L299_ : ((op1 (e13) (op1 (e13) (e13))) = (e13)) -> ((op1 (e13) (e13)) = (e13)) -> ((op1 (e13) (e11)) = (e13)) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> False).
% 54.71/54.88 do 0 intro. intros zenon_H346 zenon_H1c4 zenon_H1c3 zenon_H35d.
% 54.71/54.88 elim (classic ((op1 (e13) (e13)) = (op1 (e13) (e13)))); [ zenon_intro zenon_H181 | zenon_intro zenon_H182 ].
% 54.71/54.88 cut (((op1 (e13) (e13)) = (op1 (e13) (e13))) = ((op1 (e13) (e11)) = (op1 (e13) (e13)))).
% 54.71/54.88 intro zenon_D_pnotp.
% 54.71/54.88 apply zenon_H35d.
% 54.71/54.88 rewrite <- zenon_D_pnotp.
% 54.71/54.88 exact zenon_H181.
% 54.71/54.88 cut (((op1 (e13) (e13)) = (op1 (e13) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H182].
% 54.71/54.88 cut (((op1 (e13) (e13)) = (op1 (e13) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H35e].
% 54.71/54.88 congruence.
% 54.71/54.88 cut (((op1 (e13) (op1 (e13) (e13))) = (e13)) = ((op1 (e13) (e13)) = (op1 (e13) (e11)))).
% 54.71/54.88 intro zenon_D_pnotp.
% 54.71/54.88 apply zenon_H35e.
% 54.71/54.88 rewrite <- zenon_D_pnotp.
% 54.71/54.88 exact zenon_H346.
% 54.71/54.88 cut (((e13) = (op1 (e13) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H29f].
% 54.71/54.88 cut (((op1 (e13) (op1 (e13) (e13))) = (op1 (e13) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H35f].
% 54.71/54.88 congruence.
% 54.71/54.88 elim (classic ((op1 (e13) (e13)) = (op1 (e13) (e13)))); [ zenon_intro zenon_H181 | zenon_intro zenon_H182 ].
% 54.71/54.88 cut (((op1 (e13) (e13)) = (op1 (e13) (e13))) = ((op1 (e13) (op1 (e13) (e13))) = (op1 (e13) (e13)))).
% 54.71/54.88 intro zenon_D_pnotp.
% 54.71/54.88 apply zenon_H35f.
% 54.71/54.88 rewrite <- zenon_D_pnotp.
% 54.71/54.88 exact zenon_H181.
% 54.71/54.88 cut (((op1 (e13) (e13)) = (op1 (e13) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H182].
% 54.71/54.88 cut (((op1 (e13) (e13)) = (op1 (e13) (op1 (e13) (e13))))); [idtac | apply NNPP; zenon_intro zenon_H35b].
% 54.71/54.88 congruence.
% 54.71/54.88 apply (zenon_L298_); trivial.
% 54.71/54.88 apply zenon_H182. apply refl_equal.
% 54.71/54.88 apply zenon_H182. apply refl_equal.
% 54.71/54.88 apply zenon_H29f. apply sym_equal. exact zenon_H1c3.
% 54.71/54.88 apply zenon_H182. apply refl_equal.
% 54.71/54.88 apply zenon_H182. apply refl_equal.
% 54.71/54.88 (* end of lemma zenon_L299_ *)
% 54.71/54.88 assert (zenon_L300_ : (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> ((op1 (e12) (e11)) = (e11)) -> ((op1 (e13) (op1 (e13) (e11))) = (e11)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> ((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) -> ((e10) = (op1 (e11) (e11))) -> ((e12) = (op1 (op1 (op1 (e11) (e11)) (op1 (e11) (e11))) (op1 (e11) (e11)))) -> ((op1 (e13) (op1 (e13) (e13))) = (e13)) -> ((op1 (e13) (e13)) = (e13)) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> False).
% 54.71/54.88 do 0 intro. intros zenon_H2f8 zenon_H18a zenon_H2f6 zenon_H306 zenon_H34a zenon_H172 zenon_H15 zenon_H13 zenon_H155 zenon_H346 zenon_H1c4 zenon_H35d.
% 54.71/54.88 apply (zenon_or_s _ _ zenon_H2f8); [ zenon_intro zenon_H189 | zenon_intro zenon_H2f9 ].
% 54.71/54.88 apply (zenon_L73_); trivial.
% 54.71/54.88 apply (zenon_or_s _ _ zenon_H2f9); [ zenon_intro zenon_H1ff | zenon_intro zenon_H2fa ].
% 54.71/54.88 apply (zenon_L282_); trivial.
% 54.71/54.88 apply (zenon_or_s _ _ zenon_H2fa); [ zenon_intro zenon_H171 | zenon_intro zenon_H1c3 ].
% 54.71/54.88 apply (zenon_L69_); trivial.
% 54.71/54.88 apply (zenon_L299_); trivial.
% 54.71/54.88 (* end of lemma zenon_L300_ *)
% 54.71/54.88 assert (zenon_L301_ : ((op1 (e13) (op1 (e13) (e13))) = (e13)) -> ((op1 (e13) (e13)) = (e13)) -> ((op1 (e11) (e13)) = (e13)) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> False).
% 54.71/54.88 do 0 intro. intros zenon_H346 zenon_H1c4 zenon_H234 zenon_H360.
% 54.71/54.88 elim (classic ((op1 (e13) (e13)) = (op1 (e13) (e13)))); [ zenon_intro zenon_H181 | zenon_intro zenon_H182 ].
% 54.71/54.88 cut (((op1 (e13) (e13)) = (op1 (e13) (e13))) = ((op1 (e11) (e13)) = (op1 (e13) (e13)))).
% 54.71/54.88 intro zenon_D_pnotp.
% 54.71/54.88 apply zenon_H360.
% 54.71/54.88 rewrite <- zenon_D_pnotp.
% 54.71/54.88 exact zenon_H181.
% 54.71/54.88 cut (((op1 (e13) (e13)) = (op1 (e13) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H182].
% 54.71/54.88 cut (((op1 (e13) (e13)) = (op1 (e11) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H361].
% 54.71/54.88 congruence.
% 54.71/54.88 cut (((op1 (e13) (op1 (e13) (e13))) = (e13)) = ((op1 (e13) (e13)) = (op1 (e11) (e13)))).
% 54.71/54.88 intro zenon_D_pnotp.
% 54.71/54.88 apply zenon_H361.
% 54.71/54.88 rewrite <- zenon_D_pnotp.
% 54.71/54.88 exact zenon_H346.
% 54.71/54.88 cut (((e13) = (op1 (e11) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H2bf].
% 54.71/54.88 cut (((op1 (e13) (op1 (e13) (e13))) = (op1 (e13) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H35f].
% 54.71/54.88 congruence.
% 54.71/54.88 elim (classic ((op1 (e13) (e13)) = (op1 (e13) (e13)))); [ zenon_intro zenon_H181 | zenon_intro zenon_H182 ].
% 54.71/54.88 cut (((op1 (e13) (e13)) = (op1 (e13) (e13))) = ((op1 (e13) (op1 (e13) (e13))) = (op1 (e13) (e13)))).
% 54.71/54.88 intro zenon_D_pnotp.
% 54.71/54.88 apply zenon_H35f.
% 54.71/54.88 rewrite <- zenon_D_pnotp.
% 54.71/54.88 exact zenon_H181.
% 54.71/54.88 cut (((op1 (e13) (e13)) = (op1 (e13) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H182].
% 54.71/54.88 cut (((op1 (e13) (e13)) = (op1 (e13) (op1 (e13) (e13))))); [idtac | apply NNPP; zenon_intro zenon_H35b].
% 54.71/54.88 congruence.
% 54.71/54.88 apply (zenon_L298_); trivial.
% 54.71/54.88 apply zenon_H182. apply refl_equal.
% 54.71/54.88 apply zenon_H182. apply refl_equal.
% 54.71/54.88 apply zenon_H2bf. apply sym_equal. exact zenon_H234.
% 54.71/54.88 apply zenon_H182. apply refl_equal.
% 54.71/54.88 apply zenon_H182. apply refl_equal.
% 54.71/54.88 (* end of lemma zenon_L301_ *)
% 54.71/54.88 assert (zenon_L302_ : ((op1 (e13) (op1 (e13) (e13))) = (e13)) -> ((op1 (e13) (e13)) = (e13)) -> ((op1 (e12) (e13)) = (e13)) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> False).
% 54.71/54.88 do 0 intro. intros zenon_H346 zenon_H1c4 zenon_H235 zenon_H2fb.
% 54.71/54.88 elim (classic ((op1 (e13) (e13)) = (op1 (e13) (e13)))); [ zenon_intro zenon_H181 | zenon_intro zenon_H182 ].
% 54.71/54.88 cut (((op1 (e13) (e13)) = (op1 (e13) (e13))) = ((op1 (e12) (e13)) = (op1 (e13) (e13)))).
% 54.71/54.88 intro zenon_D_pnotp.
% 54.71/54.88 apply zenon_H2fb.
% 54.71/54.88 rewrite <- zenon_D_pnotp.
% 54.71/54.88 exact zenon_H181.
% 54.71/54.88 cut (((op1 (e13) (e13)) = (op1 (e13) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H182].
% 54.71/54.88 cut (((op1 (e13) (e13)) = (op1 (e12) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H362].
% 54.71/54.88 congruence.
% 54.71/54.88 cut (((op1 (e13) (op1 (e13) (e13))) = (e13)) = ((op1 (e13) (e13)) = (op1 (e12) (e13)))).
% 54.71/54.88 intro zenon_D_pnotp.
% 54.71/54.88 apply zenon_H362.
% 54.71/54.88 rewrite <- zenon_D_pnotp.
% 54.71/54.88 exact zenon_H346.
% 54.71/54.88 cut (((e13) = (op1 (e12) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H2bd].
% 54.71/54.88 cut (((op1 (e13) (op1 (e13) (e13))) = (op1 (e13) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H35f].
% 54.71/54.88 congruence.
% 54.71/54.88 elim (classic ((op1 (e13) (e13)) = (op1 (e13) (e13)))); [ zenon_intro zenon_H181 | zenon_intro zenon_H182 ].
% 54.71/54.88 cut (((op1 (e13) (e13)) = (op1 (e13) (e13))) = ((op1 (e13) (op1 (e13) (e13))) = (op1 (e13) (e13)))).
% 54.71/54.88 intro zenon_D_pnotp.
% 54.71/54.88 apply zenon_H35f.
% 54.71/54.88 rewrite <- zenon_D_pnotp.
% 54.71/54.88 exact zenon_H181.
% 54.71/54.88 cut (((op1 (e13) (e13)) = (op1 (e13) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H182].
% 54.71/54.88 cut (((op1 (e13) (e13)) = (op1 (e13) (op1 (e13) (e13))))); [idtac | apply NNPP; zenon_intro zenon_H35b].
% 54.71/54.88 congruence.
% 54.71/54.88 apply (zenon_L298_); trivial.
% 54.71/54.88 apply zenon_H182. apply refl_equal.
% 54.71/54.88 apply zenon_H182. apply refl_equal.
% 54.71/54.88 apply zenon_H2bd. apply sym_equal. exact zenon_H235.
% 54.71/54.88 apply zenon_H182. apply refl_equal.
% 54.71/54.88 apply zenon_H182. apply refl_equal.
% 54.71/54.88 (* end of lemma zenon_L302_ *)
% 54.71/54.88 assert (zenon_L303_ : (((op1 (e13) (e13)) = (e13))/\(((op1 (e13) (e13)) = (e13))/\(((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e13) (e13)) = (e10))))/\(((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11))))/\(((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e13) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13))))))))) -> False).
% 54.71/54.88 do 0 intro. intros zenon_H242.
% 54.71/54.88 apply (zenon_and_s _ _ zenon_H242). zenon_intro zenon_H1c4. zenon_intro zenon_H243.
% 54.71/54.88 apply (zenon_and_s _ _ zenon_H243). zenon_intro zenon_H1c4. zenon_intro zenon_H19c.
% 54.71/54.88 apply (zenon_and_s _ _ zenon_H19c). zenon_intro zenon_H216. zenon_intro zenon_H215.
% 54.71/54.88 apply (zenon_and_s _ _ zenon_H215). zenon_intro zenon_H218. zenon_intro zenon_H217.
% 54.71/54.88 apply (zenon_and_s _ _ zenon_H217). zenon_intro zenon_H219. zenon_intro zenon_H211.
% 54.71/54.88 apply (zenon_L124_); trivial.
% 54.71/54.88 (* end of lemma zenon_L303_ *)
% 54.71/54.88 assert (zenon_L304_ : ((((op1 (e10) (e10)) = (e10))/\(((op1 (e10) (e10)) = (e10))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11))))/\(((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12))))/\((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))))))))\/((((op1 (e10) (e11)) = (e10))/\(((op1 (e11) (e10)) = (e10))/\(((~((op1 (e11) (e10)) = (e11)))\/(~((op1 (e11) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e11) (e12)) = (e11)))\/(~((op1 (e11) (e11)) = (e12))))/\((~((op1 (e11) (e13)) = (e11)))\/(~((op1 (e11) (e11)) = (e13)))))))))\/((((op1 (e10) (e12)) = (e10))/\(((op1 (e12) (e10)) = (e10))/\(((~((op1 (e12) (e10)) = (e12)))\/(~((op1 (e12) (e12)) = (e10))))/\(((~((op1 (e12) (e11)) = (e12)))\/(~((op1 (e12) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13)))))))))\/((((op1 (e10) (e13)) = (e10))/\(((op1 (e13) (e10)) = (e10))/\(((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e13) (e13)) = (e10))))/\(((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11))))/\(((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e13) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13)))))))))\/((((op1 (e11) (e10)) = (e11))/\(((op1 (e10) (e11)) = (e11))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11))))/\(((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12))))/\((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))))))))\/((((op1 (e11) (e11)) = (e11))/\(((op1 (e11) (e11)) = (e11))/\(((~((op1 (e11) (e10)) = (e11)))\/(~((op1 (e11) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e11) (e12)) = (e11)))\/(~((op1 (e11) (e11)) = (e12))))/\((~((op1 (e11) (e13)) = (e11)))\/(~((op1 (e11) (e11)) = (e13)))))))))\/((((op1 (e11) (e12)) = (e11))/\(((op1 (e12) (e11)) = (e11))/\(((~((op1 (e12) (e10)) = (e12)))\/(~((op1 (e12) (e12)) = (e10))))/\(((~((op1 (e12) (e11)) = (e12)))\/(~((op1 (e12) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13)))))))))\/((((op1 (e11) (e13)) = (e11))/\(((op1 (e13) (e11)) = (e11))/\(((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e13) (e13)) = (e10))))/\(((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11))))/\(((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e13) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13)))))))))\/((((op1 (e12) (e10)) = (e12))/\(((op1 (e10) (e12)) = (e12))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11))))/\(((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12))))/\((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))))))))\/((((op1 (e12) (e11)) = (e12))/\(((op1 (e11) (e12)) = (e12))/\(((~((op1 (e11) (e10)) = (e11)))\/(~((op1 (e11) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e11) (e12)) = (e11)))\/(~((op1 (e11) (e11)) = (e12))))/\((~((op1 (e11) (e13)) = (e11)))\/(~((op1 (e11) (e11)) = (e13)))))))))\/((((op1 (e12) (e12)) = (e12))/\(((op1 (e12) (e12)) = (e12))/\(((~((op1 (e12) (e10)) = (e12)))\/(~((op1 (e12) (e12)) = (e10))))/\(((~((op1 (e12) (e11)) = (e12)))\/(~((op1 (e12) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13)))))))))\/((((op1 (e12) (e13)) = (e12))/\(((op1 (e13) (e12)) = (e12))/\(((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e13) (e13)) = (e10))))/\(((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11))))/\(((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e13) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13)))))))))\/((((op1 (e13) (e10)) = (e13))/\(((op1 (e10) (e13)) = (e13))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11))))/\(((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12))))/\((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))))))))\/((((op1 (e13) (e11)) = (e13))/\(((op1 (e11) (e13)) = (e13))/\(((~((op1 (e11) (e10)) = (e11)))\/(~((op1 (e11) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e11) (e12)) = (e11)))\/(~((op1 (e11) (e11)) = (e12))))/\((~((op1 (e11) (e13)) = (e11)))\/(~((op1 (e11) (e11)) = (e13)))))))))\/((((op1 (e13) (e12)) = (e13))/\(((op1 (e12) (e13)) = (e13))/\(((~((op1 (e12) (e10)) = (e12)))\/(~((op1 (e12) (e12)) = (e10))))/\(((~((op1 (e12) (e11)) = (e12)))\/(~((op1 (e12) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13)))))))))\/(((op1 (e13) (e13)) = (e13))/\(((op1 (e13) (e13)) = (e13))/\(((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e13) (e13)) = (e10))))/\(((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11))))/\(((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e13) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13)))))))))))))))))))))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> ((op1 (e13) (op1 (e13) (e10))) = (e10)) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> ((op1 (e10) (e13)) = (e10)) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> ((op1 (e13) (op1 (e13) (e11))) = (e11)) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e12))\/((op1 (e11) (e10)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> ((e12) = (op1 (op1 (op1 (e11) (e11)) (op1 (e11) (e11))) (op1 (e11) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> ((e10) = (op1 (e11) (e11))) -> ((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e13) (e13)) = (e13)) -> ((op1 (e13) (op1 (e13) (e13))) = (e13)) -> False).
% 54.71/54.88 do 0 intro. intros zenon_H245 zenon_H180 zenon_H179 zenon_H340 zenon_H18e zenon_H186 zenon_H19b zenon_H1a0 zenon_H1e zenon_H17 zenon_H35d zenon_H172 zenon_H34a zenon_H2f6 zenon_H18a zenon_H2f8 zenon_H21a zenon_H15f zenon_H15a zenon_H155 zenon_H154 zenon_H14b zenon_H25 zenon_H13 zenon_H15 zenon_H360 zenon_H2fb zenon_H1c4 zenon_H346.
% 54.71/54.88 apply (zenon_or_s _ _ zenon_H245); [ zenon_intro zenon_H147 | zenon_intro zenon_H254 ].
% 54.71/54.88 apply (zenon_L262_); trivial.
% 54.71/54.88 apply (zenon_or_s _ _ zenon_H254); [ zenon_intro zenon_H164 | zenon_intro zenon_H255 ].
% 54.71/54.88 apply (zenon_L66_); trivial.
% 54.71/54.88 apply (zenon_or_s _ _ zenon_H255); [ zenon_intro zenon_H197 | zenon_intro zenon_H256 ].
% 54.71/54.88 apply (zenon_L266_); trivial.
% 54.71/54.88 apply (zenon_or_s _ _ zenon_H256); [ zenon_intro zenon_H199 | zenon_intro zenon_H257 ].
% 54.71/54.88 apply (zenon_and_s _ _ zenon_H199). zenon_intro zenon_H19b. zenon_intro zenon_H19a.
% 54.71/54.88 apply (zenon_and_s _ _ zenon_H19a). zenon_intro zenon_H16a. zenon_intro zenon_H19c.
% 54.71/54.88 apply (zenon_and_s _ _ zenon_H19c). zenon_intro zenon_H216. zenon_intro zenon_H215.
% 54.71/54.88 apply (zenon_and_s _ _ zenon_H215). zenon_intro zenon_H218. zenon_intro zenon_H217.
% 54.71/54.88 apply (zenon_and_s _ _ zenon_H217). zenon_intro zenon_H219. zenon_intro zenon_H211.
% 54.71/54.88 apply (zenon_L124_); trivial.
% 54.71/54.88 apply (zenon_or_s _ _ zenon_H257); [ zenon_intro zenon_H259 | zenon_intro zenon_H258 ].
% 54.71/54.88 apply (zenon_L277_); trivial.
% 54.71/54.88 apply (zenon_or_s _ _ zenon_H258); [ zenon_intro zenon_H1a5 | zenon_intro zenon_H262 ].
% 54.71/54.88 apply (zenon_L80_); trivial.
% 54.71/54.88 apply (zenon_or_s _ _ zenon_H262); [ zenon_intro zenon_H1ae | zenon_intro zenon_H263 ].
% 54.71/54.88 apply (zenon_and_s _ _ zenon_H1ae). zenon_intro zenon_H1a8. zenon_intro zenon_H1af.
% 54.71/54.88 apply (zenon_and_s _ _ zenon_H1af). zenon_intro zenon_H306. zenon_intro zenon_H227.
% 54.71/54.88 apply (zenon_L300_); trivial.
% 54.71/54.88 apply (zenon_or_s _ _ zenon_H263); [ zenon_intro zenon_H212 | zenon_intro zenon_H264 ].
% 54.71/54.88 apply (zenon_and_s _ _ zenon_H212). zenon_intro zenon_H214. zenon_intro zenon_H213.
% 54.71/54.88 apply (zenon_and_s _ _ zenon_H213). zenon_intro zenon_H1ff. zenon_intro zenon_H19c.
% 54.71/54.88 apply (zenon_and_s _ _ zenon_H19c). zenon_intro zenon_H216. zenon_intro zenon_H215.
% 54.71/54.88 apply (zenon_and_s _ _ zenon_H215). zenon_intro zenon_H218. zenon_intro zenon_H217.
% 54.71/54.88 apply (zenon_and_s _ _ zenon_H217). zenon_intro zenon_H219. zenon_intro zenon_H211.
% 54.71/54.88 apply (zenon_L124_); trivial.
% 54.71/54.88 apply (zenon_or_s _ _ zenon_H264); [ zenon_intro zenon_H220 | zenon_intro zenon_H265 ].
% 54.71/54.88 apply (zenon_L110_); trivial.
% 54.71/54.88 apply (zenon_or_s _ _ zenon_H265); [ zenon_intro zenon_H222 | zenon_intro zenon_H266 ].
% 54.71/54.88 apply (zenon_L111_); trivial.
% 54.71/54.88 apply (zenon_or_s _ _ zenon_H266); [ zenon_intro zenon_H225 | zenon_intro zenon_H267 ].
% 54.71/54.88 apply (zenon_L113_); trivial.
% 54.71/54.88 apply (zenon_or_s _ _ zenon_H267); [ zenon_intro zenon_H22d | zenon_intro zenon_H268 ].
% 54.71/54.88 apply (zenon_and_s _ _ zenon_H22d). zenon_intro zenon_H22f. zenon_intro zenon_H22e.
% 54.71/54.88 apply (zenon_and_s _ _ zenon_H22e). zenon_intro zenon_H178. zenon_intro zenon_H19c.
% 54.71/54.88 apply (zenon_and_s _ _ zenon_H19c). zenon_intro zenon_H216. zenon_intro zenon_H215.
% 54.71/54.88 apply (zenon_and_s _ _ zenon_H215). zenon_intro zenon_H218. zenon_intro zenon_H217.
% 54.71/54.88 apply (zenon_and_s _ _ zenon_H217). zenon_intro zenon_H219. zenon_intro zenon_H211.
% 54.71/54.88 apply (zenon_L124_); trivial.
% 54.71/54.88 apply (zenon_or_s _ _ zenon_H268); [ zenon_intro zenon_H230 | zenon_intro zenon_H269 ].
% 54.71/54.88 apply (zenon_L115_); trivial.
% 54.71/54.88 apply (zenon_or_s _ _ zenon_H269); [ zenon_intro zenon_H232 | zenon_intro zenon_H26a ].
% 54.71/54.88 apply (zenon_and_s _ _ zenon_H232). zenon_intro zenon_H1c3. zenon_intro zenon_H233.
% 54.71/54.88 apply (zenon_and_s _ _ zenon_H233). zenon_intro zenon_H234. zenon_intro zenon_H167.
% 54.71/54.88 apply (zenon_L301_); trivial.
% 54.71/54.88 apply (zenon_or_s _ _ zenon_H26a); [ zenon_intro zenon_H240 | zenon_intro zenon_H242 ].
% 54.71/54.88 apply (zenon_and_s _ _ zenon_H240). zenon_intro zenon_H1ba. zenon_intro zenon_H241.
% 54.71/54.88 apply (zenon_and_s _ _ zenon_H241). zenon_intro zenon_H235. zenon_intro zenon_H227.
% 54.71/54.88 apply (zenon_L302_); trivial.
% 54.71/54.88 apply (zenon_L303_); trivial.
% 54.71/54.88 (* end of lemma zenon_L304_ *)
% 54.71/54.88 assert (zenon_L305_ : (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> ((op1 (e12) (e11)) = (e13)) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> ((e12) = (op1 (op1 (op1 (e11) (e11)) (op1 (e11) (e11))) (op1 (e11) (e11)))) -> ((e10) = (op1 (e11) (e11))) -> ((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> ((op1 (e13) (op1 (e13) (e13))) = (e13)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e13)) = (e10))\/(((op1 (e13) (e13)) = (e11))\/(((op1 (e13) (e13)) = (e12))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e13) (e13)) = (e13))) -> False).
% 54.71/54.88 do 0 intro. intros zenon_H1be zenon_H1b1 zenon_H2e3 zenon_H2f6 zenon_H172 zenon_H155 zenon_H13 zenon_H15 zenon_H180 zenon_H345 zenon_H346 zenon_H179 zenon_H20c zenon_H1c0.
% 54.71/54.88 apply (zenon_or_s _ _ zenon_H1be); [ zenon_intro zenon_H1b0 | zenon_intro zenon_H1c1 ].
% 54.71/54.88 apply (zenon_L84_); trivial.
% 54.71/54.88 apply (zenon_or_s _ _ zenon_H1c1); [ zenon_intro zenon_H1c3 | zenon_intro zenon_H1c2 ].
% 54.71/54.88 apply (zenon_L287_); trivial.
% 54.71/54.88 apply (zenon_or_s _ _ zenon_H1c2); [ zenon_intro zenon_H1ba | zenon_intro zenon_H1c4 ].
% 54.71/54.88 apply (zenon_L270_); trivial.
% 54.71/54.88 exact (zenon_H1c0 zenon_H1c4).
% 54.71/54.88 (* end of lemma zenon_L305_ *)
% 54.71/54.88 assert (zenon_L306_ : ((op1 (e13) (op1 (e13) (e11))) = (e11)) -> ((op1 (e13) (e11)) = (e13)) -> ((op1 (e11) (e13)) = (e11)) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> False).
% 54.71/54.88 do 0 intro. intros zenon_H34a zenon_H1c3 zenon_H214 zenon_H360.
% 54.71/54.88 elim (classic ((op1 (e13) (e13)) = (op1 (e13) (e13)))); [ zenon_intro zenon_H181 | zenon_intro zenon_H182 ].
% 54.71/54.88 cut (((op1 (e13) (e13)) = (op1 (e13) (e13))) = ((op1 (e11) (e13)) = (op1 (e13) (e13)))).
% 54.71/54.88 intro zenon_D_pnotp.
% 54.71/54.88 apply zenon_H360.
% 54.71/54.88 rewrite <- zenon_D_pnotp.
% 54.71/54.88 exact zenon_H181.
% 54.71/54.88 cut (((op1 (e13) (e13)) = (op1 (e13) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H182].
% 54.71/54.88 cut (((op1 (e13) (e13)) = (op1 (e11) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H361].
% 54.71/54.88 congruence.
% 54.71/54.88 cut (((op1 (e13) (op1 (e13) (e11))) = (e11)) = ((op1 (e13) (e13)) = (op1 (e11) (e13)))).
% 54.71/54.88 intro zenon_D_pnotp.
% 54.71/54.88 apply zenon_H361.
% 54.71/54.88 rewrite <- zenon_D_pnotp.
% 54.71/54.88 exact zenon_H34a.
% 54.71/54.88 cut (((e11) = (op1 (e11) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H2a2].
% 54.71/54.88 cut (((op1 (e13) (op1 (e13) (e11))) = (op1 (e13) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H34d].
% 54.71/54.88 congruence.
% 54.71/54.88 elim (classic ((op1 (e13) (e13)) = (op1 (e13) (e13)))); [ zenon_intro zenon_H181 | zenon_intro zenon_H182 ].
% 54.71/54.88 cut (((op1 (e13) (e13)) = (op1 (e13) (e13))) = ((op1 (e13) (op1 (e13) (e11))) = (op1 (e13) (e13)))).
% 54.71/54.88 intro zenon_D_pnotp.
% 54.71/54.88 apply zenon_H34d.
% 54.71/54.88 rewrite <- zenon_D_pnotp.
% 54.71/54.88 exact zenon_H181.
% 54.71/54.88 cut (((op1 (e13) (e13)) = (op1 (e13) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H182].
% 54.71/54.88 cut (((op1 (e13) (e13)) = (op1 (e13) (op1 (e13) (e11))))); [idtac | apply NNPP; zenon_intro zenon_H349].
% 54.71/54.88 congruence.
% 54.71/54.88 apply (zenon_L278_); trivial.
% 54.71/54.88 apply zenon_H182. apply refl_equal.
% 54.71/54.88 apply zenon_H182. apply refl_equal.
% 54.71/54.88 apply zenon_H2a2. apply sym_equal. exact zenon_H214.
% 54.71/54.88 apply zenon_H182. apply refl_equal.
% 54.71/54.88 apply zenon_H182. apply refl_equal.
% 54.71/54.88 (* end of lemma zenon_L306_ *)
% 54.71/54.88 assert (zenon_L307_ : (((op1 (e13) (op1 (e13) (e10))) = (e10))/\(((op1 (e13) (op1 (e13) (e11))) = (e11))/\(((op1 (e13) (op1 (e13) (e12))) = (e12))/\(((op1 (e13) (op1 (e13) (e13))) = (e13))/\(((~((op1 (e10) (e10)) = (e13)))\/((op1 (e10) (e13)) = (e10)))/\(((~((op1 (e11) (e11)) = (e13)))\/((op1 (e11) (e13)) = (e11)))/\(((~((op1 (e12) (e12)) = (e13)))\/((op1 (e12) (e13)) = (e12)))/\((~((op1 (e13) (e13)) = (e13)))\/((op1 (e13) (e13)) = (e13)))))))))) -> ((((op1 (e10) (e10)) = (e10))/\(((op1 (e10) (e10)) = (e10))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11))))/\(((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12))))/\((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))))))))\/((((op1 (e10) (e11)) = (e10))/\(((op1 (e11) (e10)) = (e10))/\(((~((op1 (e11) (e10)) = (e11)))\/(~((op1 (e11) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e11) (e12)) = (e11)))\/(~((op1 (e11) (e11)) = (e12))))/\((~((op1 (e11) (e13)) = (e11)))\/(~((op1 (e11) (e11)) = (e13)))))))))\/((((op1 (e10) (e12)) = (e10))/\(((op1 (e12) (e10)) = (e10))/\(((~((op1 (e12) (e10)) = (e12)))\/(~((op1 (e12) (e12)) = (e10))))/\(((~((op1 (e12) (e11)) = (e12)))\/(~((op1 (e12) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13)))))))))\/((((op1 (e10) (e13)) = (e10))/\(((op1 (e13) (e10)) = (e10))/\(((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e13) (e13)) = (e10))))/\(((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11))))/\(((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e13) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13)))))))))\/((((op1 (e11) (e10)) = (e11))/\(((op1 (e10) (e11)) = (e11))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11))))/\(((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12))))/\((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))))))))\/((((op1 (e11) (e11)) = (e11))/\(((op1 (e11) (e11)) = (e11))/\(((~((op1 (e11) (e10)) = (e11)))\/(~((op1 (e11) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e11) (e12)) = (e11)))\/(~((op1 (e11) (e11)) = (e12))))/\((~((op1 (e11) (e13)) = (e11)))\/(~((op1 (e11) (e11)) = (e13)))))))))\/((((op1 (e11) (e12)) = (e11))/\(((op1 (e12) (e11)) = (e11))/\(((~((op1 (e12) (e10)) = (e12)))\/(~((op1 (e12) (e12)) = (e10))))/\(((~((op1 (e12) (e11)) = (e12)))\/(~((op1 (e12) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13)))))))))\/((((op1 (e11) (e13)) = (e11))/\(((op1 (e13) (e11)) = (e11))/\(((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e13) (e13)) = (e10))))/\(((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11))))/\(((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e13) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13)))))))))\/((((op1 (e12) (e10)) = (e12))/\(((op1 (e10) (e12)) = (e12))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11))))/\(((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12))))/\((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))))))))\/((((op1 (e12) (e11)) = (e12))/\(((op1 (e11) (e12)) = (e12))/\(((~((op1 (e11) (e10)) = (e11)))\/(~((op1 (e11) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e11) (e12)) = (e11)))\/(~((op1 (e11) (e11)) = (e12))))/\((~((op1 (e11) (e13)) = (e11)))\/(~((op1 (e11) (e11)) = (e13)))))))))\/((((op1 (e12) (e12)) = (e12))/\(((op1 (e12) (e12)) = (e12))/\(((~((op1 (e12) (e10)) = (e12)))\/(~((op1 (e12) (e12)) = (e10))))/\(((~((op1 (e12) (e11)) = (e12)))\/(~((op1 (e12) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13)))))))))\/((((op1 (e12) (e13)) = (e12))/\(((op1 (e13) (e12)) = (e12))/\(((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e13) (e13)) = (e10))))/\(((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11))))/\(((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e13) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13)))))))))\/((((op1 (e13) (e10)) = (e13))/\(((op1 (e10) (e13)) = (e13))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11))))/\(((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12))))/\((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))))))))\/((((op1 (e13) (e11)) = (e13))/\(((op1 (e11) (e13)) = (e13))/\(((~((op1 (e11) (e10)) = (e11)))\/(~((op1 (e11) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e11) (e12)) = (e11)))\/(~((op1 (e11) (e11)) = (e12))))/\((~((op1 (e11) (e13)) = (e11)))\/(~((op1 (e11) (e11)) = (e13)))))))))\/((((op1 (e13) (e12)) = (e13))/\(((op1 (e12) (e13)) = (e13))/\(((~((op1 (e12) (e10)) = (e12)))\/(~((op1 (e12) (e12)) = (e10))))/\(((~((op1 (e12) (e11)) = (e12)))\/(~((op1 (e12) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13)))))))))\/(((op1 (e13) (e13)) = (e13))/\(((op1 (e13) (e13)) = (e13))/\(((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e13) (e13)) = (e10))))/\(((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11))))/\(((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e13) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13)))))))))))))))))))))))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((e12) = (e13))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e13)) = (e10))\/(((op1 (e13) (e13)) = (e11))\/(((op1 (e13) (e13)) = (e12))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> ((e12) = (op1 (op1 (op1 (e11) (e11)) (op1 (e11) (e11))) (op1 (e11) (e11)))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e12))\/((op1 (e11) (e10)) = (e13))))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> ((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) -> ((e10) = (op1 (e11) (e11))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> False).
% 54.71/54.88 do 0 intro. intros zenon_H363 zenon_H245 zenon_H1d8 zenon_H1da zenon_H209 zenon_H358 zenon_H2c9 zenon_H355 zenon_H1fd zenon_H2f6 zenon_H23b zenon_H2ad zenon_H236 zenon_H2e7 zenon_H21a zenon_H313 zenon_H1be zenon_H345 zenon_H20c zenon_H1b1 zenon_H186 zenon_H180 zenon_H179 zenon_H172 zenon_H18e zenon_H14b zenon_H154 zenon_H155 zenon_H15a zenon_H15f zenon_H2fb zenon_H360 zenon_H2f8 zenon_H35d zenon_H18a zenon_H17 zenon_H15 zenon_H13 zenon_H1e zenon_H25 zenon_H1a0.
% 54.71/54.88 apply (zenon_and_s _ _ zenon_H363). zenon_intro zenon_H340. zenon_intro zenon_H364.
% 54.71/54.88 apply (zenon_and_s _ _ zenon_H364). zenon_intro zenon_H34a. zenon_intro zenon_H365.
% 54.71/54.88 apply (zenon_and_s _ _ zenon_H365). zenon_intro zenon_H352. zenon_intro zenon_H366.
% 54.71/54.88 apply (zenon_and_s _ _ zenon_H366). zenon_intro zenon_H346. zenon_intro zenon_H367.
% 54.71/54.88 apply (zenon_and_s _ _ zenon_H367). zenon_intro zenon_H369. zenon_intro zenon_H368.
% 54.71/54.88 apply (zenon_and_s _ _ zenon_H368). zenon_intro zenon_H36b. zenon_intro zenon_H36a.
% 54.71/54.88 apply (zenon_and_s _ _ zenon_H36a). zenon_intro zenon_H36d. zenon_intro zenon_H36c.
% 54.71/54.88 apply (zenon_or_s _ _ zenon_H369); [ zenon_intro zenon_H1a1 | zenon_intro zenon_H19b ].
% 54.71/54.88 apply (zenon_L79_); trivial.
% 54.71/54.88 apply (zenon_or_s _ _ zenon_H36b); [ zenon_intro zenon_H2b8 | zenon_intro zenon_H214 ].
% 54.71/54.88 apply (zenon_or_s _ _ zenon_H36d); [ zenon_intro zenon_H29d | zenon_intro zenon_H22f ].
% 54.71/54.88 apply (zenon_or_s _ _ zenon_H36c); [ zenon_intro zenon_H1c0 | zenon_intro zenon_H1c4 ].
% 54.71/54.88 apply (zenon_or_s _ _ zenon_H245); [ zenon_intro zenon_H147 | zenon_intro zenon_H254 ].
% 54.71/54.88 apply (zenon_L262_); trivial.
% 54.71/54.88 apply (zenon_or_s _ _ zenon_H254); [ zenon_intro zenon_H164 | zenon_intro zenon_H255 ].
% 54.71/54.88 apply (zenon_L66_); trivial.
% 54.71/54.88 apply (zenon_or_s _ _ zenon_H255); [ zenon_intro zenon_H197 | zenon_intro zenon_H256 ].
% 54.71/54.88 apply (zenon_L266_); trivial.
% 54.71/54.88 apply (zenon_or_s _ _ zenon_H256); [ zenon_intro zenon_H199 | zenon_intro zenon_H257 ].
% 54.71/54.88 apply (zenon_L276_); trivial.
% 54.71/54.88 apply (zenon_or_s _ _ zenon_H257); [ zenon_intro zenon_H259 | zenon_intro zenon_H258 ].
% 54.71/54.88 apply (zenon_L277_); trivial.
% 54.71/54.88 apply (zenon_or_s _ _ zenon_H258); [ zenon_intro zenon_H1a5 | zenon_intro zenon_H262 ].
% 54.71/54.88 apply (zenon_L80_); trivial.
% 54.71/54.88 apply (zenon_or_s _ _ zenon_H262); [ zenon_intro zenon_H1ae | zenon_intro zenon_H263 ].
% 54.71/54.88 apply (zenon_and_s _ _ zenon_H1ae). zenon_intro zenon_H1a8. zenon_intro zenon_H1af.
% 54.71/54.88 apply (zenon_and_s _ _ zenon_H1af). zenon_intro zenon_H306. zenon_intro zenon_H227.
% 54.71/54.88 apply (zenon_and_s _ _ zenon_H227). zenon_intro zenon_H229. zenon_intro zenon_H228.
% 54.71/54.88 apply (zenon_and_s _ _ zenon_H228). zenon_intro zenon_H22b. zenon_intro zenon_H22a.
% 54.71/54.88 apply (zenon_and_s _ _ zenon_H22a). zenon_intro zenon_H224. zenon_intro zenon_H22c.
% 54.71/54.88 apply (zenon_or_s _ _ zenon_H22b); [ zenon_intro zenon_H23c | zenon_intro zenon_H23f ].
% 54.71/54.88 apply (zenon_L292_); trivial.
% 54.71/54.88 apply (zenon_or_s _ _ zenon_H224); [ zenon_intro zenon_H1d1 | zenon_intro zenon_H1d1 ].
% 54.71/54.88 apply (zenon_L294_); trivial.
% 54.71/54.88 apply (zenon_L294_); trivial.
% 54.71/54.88 apply (zenon_or_s _ _ zenon_H263); [ zenon_intro zenon_H212 | zenon_intro zenon_H264 ].
% 54.71/54.88 apply (zenon_L295_); trivial.
% 54.71/54.88 apply (zenon_or_s _ _ zenon_H264); [ zenon_intro zenon_H220 | zenon_intro zenon_H265 ].
% 54.71/54.88 apply (zenon_L110_); trivial.
% 54.71/54.88 apply (zenon_or_s _ _ zenon_H265); [ zenon_intro zenon_H222 | zenon_intro zenon_H266 ].
% 54.71/54.88 apply (zenon_L111_); trivial.
% 54.71/54.88 apply (zenon_or_s _ _ zenon_H266); [ zenon_intro zenon_H225 | zenon_intro zenon_H267 ].
% 54.71/54.88 apply (zenon_L113_); trivial.
% 54.71/54.88 apply (zenon_or_s _ _ zenon_H267); [ zenon_intro zenon_H22d | zenon_intro zenon_H268 ].
% 54.71/54.88 apply (zenon_L114_); trivial.
% 54.71/54.88 apply (zenon_or_s _ _ zenon_H268); [ zenon_intro zenon_H230 | zenon_intro zenon_H269 ].
% 54.71/54.88 apply (zenon_L115_); trivial.
% 54.71/54.88 apply (zenon_or_s _ _ zenon_H269); [ zenon_intro zenon_H232 | zenon_intro zenon_H26a ].
% 54.71/54.88 apply (zenon_L116_); trivial.
% 54.71/54.88 apply (zenon_or_s _ _ zenon_H26a); [ zenon_intro zenon_H240 | zenon_intro zenon_H242 ].
% 54.71/54.88 apply (zenon_L296_); trivial.
% 54.71/54.88 apply (zenon_L297_); trivial.
% 54.71/54.88 apply (zenon_L304_); trivial.
% 54.71/54.88 apply (zenon_or_s _ _ zenon_H36c); [ zenon_intro zenon_H1c0 | zenon_intro zenon_H1c4 ].
% 54.71/54.88 apply (zenon_or_s _ _ zenon_H245); [ zenon_intro zenon_H147 | zenon_intro zenon_H254 ].
% 54.71/54.88 apply (zenon_L262_); trivial.
% 54.71/54.88 apply (zenon_or_s _ _ zenon_H254); [ zenon_intro zenon_H164 | zenon_intro zenon_H255 ].
% 54.71/54.88 apply (zenon_L66_); trivial.
% 54.71/54.88 apply (zenon_or_s _ _ zenon_H255); [ zenon_intro zenon_H197 | zenon_intro zenon_H256 ].
% 54.71/54.88 apply (zenon_L266_); trivial.
% 54.71/54.88 apply (zenon_or_s _ _ zenon_H256); [ zenon_intro zenon_H199 | zenon_intro zenon_H257 ].
% 54.71/54.88 apply (zenon_L276_); trivial.
% 54.71/54.88 apply (zenon_or_s _ _ zenon_H257); [ zenon_intro zenon_H259 | zenon_intro zenon_H258 ].
% 54.71/54.88 apply (zenon_L277_); trivial.
% 54.71/54.88 apply (zenon_or_s _ _ zenon_H258); [ zenon_intro zenon_H1a5 | zenon_intro zenon_H262 ].
% 54.71/54.88 apply (zenon_L80_); trivial.
% 54.71/54.88 apply (zenon_or_s _ _ zenon_H262); [ zenon_intro zenon_H1ae | zenon_intro zenon_H263 ].
% 54.71/54.88 apply (zenon_and_s _ _ zenon_H1ae). zenon_intro zenon_H1a8. zenon_intro zenon_H1af.
% 54.71/54.88 apply (zenon_and_s _ _ zenon_H1af). zenon_intro zenon_H306. zenon_intro zenon_H227.
% 54.71/54.88 apply (zenon_and_s _ _ zenon_H227). zenon_intro zenon_H229. zenon_intro zenon_H228.
% 54.71/54.88 apply (zenon_and_s _ _ zenon_H228). zenon_intro zenon_H22b. zenon_intro zenon_H22a.
% 54.71/54.88 apply (zenon_and_s _ _ zenon_H22a). zenon_intro zenon_H224. zenon_intro zenon_H22c.
% 54.71/54.88 apply (zenon_or_s _ _ zenon_H22c); [ zenon_intro zenon_H27d | zenon_intro zenon_H29d ].
% 54.71/54.88 exact (zenon_H27d zenon_H22f).
% 54.71/54.88 apply (zenon_or_s _ _ zenon_H313); [ zenon_intro zenon_H16 | zenon_intro zenon_H314 ].
% 54.71/54.88 apply (zenon_L2_); trivial.
% 54.71/54.88 apply (zenon_or_s _ _ zenon_H314); [ zenon_intro zenon_H2b7 | zenon_intro zenon_H315 ].
% 54.71/54.88 exact (zenon_H2b8 zenon_H2b7).
% 54.71/54.88 apply (zenon_or_s _ _ zenon_H315); [ zenon_intro zenon_H2e3 | zenon_intro zenon_H1c3 ].
% 54.71/54.88 apply (zenon_L305_); trivial.
% 54.71/54.88 apply (zenon_L288_); trivial.
% 54.71/54.88 apply (zenon_or_s _ _ zenon_H263); [ zenon_intro zenon_H212 | zenon_intro zenon_H264 ].
% 54.71/54.88 apply (zenon_L295_); trivial.
% 54.71/54.88 apply (zenon_or_s _ _ zenon_H264); [ zenon_intro zenon_H220 | zenon_intro zenon_H265 ].
% 54.71/54.88 apply (zenon_L110_); trivial.
% 54.71/54.88 apply (zenon_or_s _ _ zenon_H265); [ zenon_intro zenon_H222 | zenon_intro zenon_H266 ].
% 54.71/54.88 apply (zenon_L111_); trivial.
% 54.71/54.88 apply (zenon_or_s _ _ zenon_H266); [ zenon_intro zenon_H225 | zenon_intro zenon_H267 ].
% 54.71/54.88 apply (zenon_L113_); trivial.
% 54.71/54.88 apply (zenon_or_s _ _ zenon_H267); [ zenon_intro zenon_H22d | zenon_intro zenon_H268 ].
% 54.71/54.88 apply (zenon_L114_); trivial.
% 54.71/54.88 apply (zenon_or_s _ _ zenon_H268); [ zenon_intro zenon_H230 | zenon_intro zenon_H269 ].
% 54.71/54.88 apply (zenon_L115_); trivial.
% 54.71/54.88 apply (zenon_or_s _ _ zenon_H269); [ zenon_intro zenon_H232 | zenon_intro zenon_H26a ].
% 54.71/54.88 apply (zenon_L116_); trivial.
% 54.71/54.88 apply (zenon_or_s _ _ zenon_H26a); [ zenon_intro zenon_H240 | zenon_intro zenon_H242 ].
% 54.71/54.88 apply (zenon_L296_); trivial.
% 54.71/54.88 apply (zenon_L297_); trivial.
% 54.71/54.88 apply (zenon_L304_); trivial.
% 54.71/54.88 apply (zenon_or_s _ _ zenon_H36c); [ zenon_intro zenon_H1c0 | zenon_intro zenon_H1c4 ].
% 54.71/54.88 apply (zenon_or_s _ _ zenon_H1be); [ zenon_intro zenon_H1b0 | zenon_intro zenon_H1c1 ].
% 54.71/54.88 apply (zenon_L84_); trivial.
% 54.71/54.88 apply (zenon_or_s _ _ zenon_H1c1); [ zenon_intro zenon_H1c3 | zenon_intro zenon_H1c2 ].
% 54.71/54.88 apply (zenon_L306_); trivial.
% 54.71/54.88 apply (zenon_or_s _ _ zenon_H1c2); [ zenon_intro zenon_H1ba | zenon_intro zenon_H1c4 ].
% 54.71/54.88 apply (zenon_L270_); trivial.
% 54.71/54.88 exact (zenon_H1c0 zenon_H1c4).
% 54.71/54.88 apply (zenon_L304_); trivial.
% 54.71/54.88 (* end of lemma zenon_L307_ *)
% 54.71/54.88 assert (zenon_L308_ : ((((op1 (e10) (op1 (e10) (e10))) = (e10))/\(((op1 (e10) (op1 (e10) (e11))) = (e11))/\(((op1 (e10) (op1 (e10) (e12))) = (e12))/\(((op1 (e10) (op1 (e10) (e13))) = (e13))/\(((~((op1 (e10) (e10)) = (e10)))\/((op1 (e10) (e10)) = (e10)))/\(((~((op1 (e11) (e11)) = (e10)))\/((op1 (e11) (e10)) = (e11)))/\(((~((op1 (e12) (e12)) = (e10)))\/((op1 (e12) (e10)) = (e12)))/\((~((op1 (e13) (e13)) = (e10)))\/((op1 (e13) (e10)) = (e13))))))))))\/((((op1 (e11) (op1 (e11) (e10))) = (e10))/\(((op1 (e11) (op1 (e11) (e11))) = (e11))/\(((op1 (e11) (op1 (e11) (e12))) = (e12))/\(((op1 (e11) (op1 (e11) (e13))) = (e13))/\(((~((op1 (e10) (e10)) = (e11)))\/((op1 (e10) (e11)) = (e10)))/\(((~((op1 (e11) (e11)) = (e11)))\/((op1 (e11) (e11)) = (e11)))/\(((~((op1 (e12) (e12)) = (e11)))\/((op1 (e12) (e11)) = (e12)))/\((~((op1 (e13) (e13)) = (e11)))\/((op1 (e13) (e11)) = (e13))))))))))\/((((op1 (e12) (op1 (e12) (e10))) = (e10))/\(((op1 (e12) (op1 (e12) (e11))) = (e11))/\(((op1 (e12) (op1 (e12) (e12))) = (e12))/\(((op1 (e12) (op1 (e12) (e13))) = (e13))/\(((~((op1 (e10) (e10)) = (e12)))\/((op1 (e10) (e12)) = (e10)))/\(((~((op1 (e11) (e11)) = (e12)))\/((op1 (e11) (e12)) = (e11)))/\(((~((op1 (e12) (e12)) = (e12)))\/((op1 (e12) (e12)) = (e12)))/\((~((op1 (e13) (e13)) = (e12)))\/((op1 (e13) (e12)) = (e13))))))))))\/(((op1 (e13) (op1 (e13) (e10))) = (e10))/\(((op1 (e13) (op1 (e13) (e11))) = (e11))/\(((op1 (e13) (op1 (e13) (e12))) = (e12))/\(((op1 (e13) (op1 (e13) (e13))) = (e13))/\(((~((op1 (e10) (e10)) = (e13)))\/((op1 (e10) (e13)) = (e10)))/\(((~((op1 (e11) (e11)) = (e13)))\/((op1 (e11) (e13)) = (e11)))/\(((~((op1 (e12) (e12)) = (e13)))\/((op1 (e12) (e13)) = (e12)))/\((~((op1 (e13) (e13)) = (e13)))\/((op1 (e13) (e13)) = (e13))))))))))))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((h2 (op1 (e10) (e11))) = (op2 (h2 (e10)) (h2 (e11))))) -> ((h2 (e11)) = (e21)) -> ((e20) = (op2 (e21) (e21))) -> ((h2 (e10)) = (op2 (e21) (e21))) -> (~((op2 (e21) (e21)) = (e21))) -> (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> (~((op2 (e22) (e23)) = (e22))) -> (~((op2 (e22) (e22)) = (e22))) -> (~((e21) = (e22))) -> ((e23) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((e22) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> (((op2 (e20) (e21)) = (e20))\/(((op2 (e20) (e21)) = (e21))\/(((op2 (e20) (e21)) = (e22))\/((op2 (e20) (e21)) = (e23))))) -> (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> (~((e10) = (e12))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (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)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (((op1 (e10) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e12) (e11)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((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 (e11) (e11)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e12) (e13)) = (e10))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> ((((op1 (e10) (e10)) = (e10))/\(((op1 (e10) (e10)) = (e10))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11))))/\(((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12))))/\((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))))))))\/((((op1 (e10) (e11)) = (e10))/\(((op1 (e11) (e10)) = (e10))/\(((~((op1 (e11) (e10)) = (e11)))\/(~((op1 (e11) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e11) (e12)) = (e11)))\/(~((op1 (e11) (e11)) = (e12))))/\((~((op1 (e11) (e13)) = (e11)))\/(~((op1 (e11) (e11)) = (e13)))))))))\/((((op1 (e10) (e12)) = (e10))/\(((op1 (e12) (e10)) = (e10))/\(((~((op1 (e12) (e10)) = (e12)))\/(~((op1 (e12) (e12)) = (e10))))/\(((~((op1 (e12) (e11)) = (e12)))\/(~((op1 (e12) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13)))))))))\/((((op1 (e10) (e13)) = (e10))/\(((op1 (e13) (e10)) = (e10))/\(((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e13) (e13)) = (e10))))/\(((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11))))/\(((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e13) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13)))))))))\/((((op1 (e11) (e10)) = (e11))/\(((op1 (e10) (e11)) = (e11))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11))))/\(((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12))))/\((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))))))))\/((((op1 (e11) (e11)) = (e11))/\(((op1 (e11) (e11)) = (e11))/\(((~((op1 (e11) (e10)) = (e11)))\/(~((op1 (e11) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e11) (e12)) = (e11)))\/(~((op1 (e11) (e11)) = (e12))))/\((~((op1 (e11) (e13)) = (e11)))\/(~((op1 (e11) (e11)) = (e13)))))))))\/((((op1 (e11) (e12)) = (e11))/\(((op1 (e12) (e11)) = (e11))/\(((~((op1 (e12) (e10)) = (e12)))\/(~((op1 (e12) (e12)) = (e10))))/\(((~((op1 (e12) (e11)) = (e12)))\/(~((op1 (e12) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13)))))))))\/((((op1 (e11) (e13)) = (e11))/\(((op1 (e13) (e11)) = (e11))/\(((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e13) (e13)) = (e10))))/\(((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11))))/\(((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e13) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13)))))))))\/((((op1 (e12) (e10)) = (e12))/\(((op1 (e10) (e12)) = (e12))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11))))/\(((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12))))/\((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))))))))\/((((op1 (e12) (e11)) = (e12))/\(((op1 (e11) (e12)) = (e12))/\(((~((op1 (e11) (e10)) = (e11)))\/(~((op1 (e11) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e11) (e12)) = (e11)))\/(~((op1 (e11) (e11)) = (e12))))/\((~((op1 (e11) (e13)) = (e11)))\/(~((op1 (e11) (e11)) = (e13)))))))))\/((((op1 (e12) (e12)) = (e12))/\(((op1 (e12) (e12)) = (e12))/\(((~((op1 (e12) (e10)) = (e12)))\/(~((op1 (e12) (e12)) = (e10))))/\(((~((op1 (e12) (e11)) = (e12)))\/(~((op1 (e12) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13)))))))))\/((((op1 (e12) (e13)) = (e12))/\(((op1 (e13) (e12)) = (e12))/\(((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e13) (e13)) = (e10))))/\(((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11))))/\(((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e13) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13)))))))))\/((((op1 (e13) (e10)) = (e13))/\(((op1 (e10) (e13)) = (e13))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11))))/\(((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12))))/\((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))))))))\/((((op1 (e13) (e11)) = (e13))/\(((op1 (e11) (e13)) = (e13))/\(((~((op1 (e11) (e10)) = (e11)))\/(~((op1 (e11) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e11) (e12)) = (e11)))\/(~((op1 (e11) (e11)) = (e12))))/\((~((op1 (e11) (e13)) = (e11)))\/(~((op1 (e11) (e11)) = (e13)))))))))\/((((op1 (e13) (e12)) = (e13))/\(((op1 (e12) (e13)) = (e13))/\(((~((op1 (e12) (e10)) = (e12)))\/(~((op1 (e12) (e12)) = (e10))))/\(((~((op1 (e12) (e11)) = (e12)))\/(~((op1 (e12) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13)))))))))\/(((op1 (e13) (e13)) = (e13))/\(((op1 (e13) (e13)) = (e13))/\(((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e13) (e13)) = (e10))))/\(((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11))))/\(((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e13) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13)))))))))))))))))))))))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((e12) = (e13))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e13)) = (e10))\/(((op1 (e13) (e13)) = (e11))\/(((op1 (e13) (e13)) = (e12))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> ((e12) = (op1 (op1 (op1 (e11) (e11)) (op1 (e11) (e11))) (op1 (e11) (e11)))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e12))\/((op1 (e11) (e10)) = (e13))))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> ((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) -> ((e10) = (op1 (e11) (e11))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> False).
% 54.71/54.88 do 0 intro. intros zenon_H36e zenon_H192 zenon_H1ed zenon_H1de zenon_H26f zenon_H270 zenon_H33 zenon_H26c zenon_H28d zenon_Hf1 zenon_H281 zenon_Hd7 zenon_H27e zenon_H3b zenon_H3f zenon_Hb0 zenon_H8d zenon_H282 zenon_H286 zenon_H93 zenon_H289 zenon_H28c zenon_H16c zenon_H2a5 zenon_H2b1 zenon_H1fa zenon_H1e8 zenon_H1f7 zenon_H32b zenon_H206 zenon_H32e zenon_H1a9 zenon_H246 zenon_H2fd zenon_H2c0 zenon_H2b9 zenon_H328 zenon_H325 zenon_H322 zenon_H1f4 zenon_H2c2 zenon_H321 zenon_H301 zenon_H30b zenon_H204 zenon_H30e zenon_H316 zenon_H19d zenon_H2ea zenon_H2e2 zenon_H2a3 zenon_H2e6 zenon_H2d9 zenon_H1cc zenon_H2d1 zenon_H245 zenon_H1d8 zenon_H1da zenon_H209 zenon_H358 zenon_H2c9 zenon_H355 zenon_H1fd zenon_H2f6 zenon_H23b zenon_H2ad zenon_H236 zenon_H2e7 zenon_H21a zenon_H313 zenon_H1be zenon_H345 zenon_H20c zenon_H1b1 zenon_H186 zenon_H180 zenon_H179 zenon_H172 zenon_H18e zenon_H14b zenon_H154 zenon_H155 zenon_H15a zenon_H15f zenon_H2fb zenon_H360 zenon_H2f8 zenon_H35d zenon_H18a zenon_H17 zenon_H15 zenon_H13 zenon_H1e zenon_H25 zenon_H1a0.
% 54.71/54.88 apply (zenon_or_s _ _ zenon_H36e); [ zenon_intro zenon_H244 | zenon_intro zenon_H36f ].
% 54.71/54.88 apply (zenon_L126_); trivial.
% 54.71/54.88 apply (zenon_or_s _ _ zenon_H36f); [ zenon_intro zenon_H371 | zenon_intro zenon_H370 ].
% 54.71/54.88 apply (zenon_and_s _ _ zenon_H371). zenon_intro zenon_H292. zenon_intro zenon_H372.
% 54.71/54.88 apply (zenon_and_s _ _ zenon_H372). zenon_intro zenon_H2a6. zenon_intro zenon_H373.
% 54.71/54.88 apply (zenon_and_s _ _ zenon_H373). zenon_intro zenon_H375. zenon_intro zenon_H374.
% 54.71/54.88 apply (zenon_and_s _ _ zenon_H374). zenon_intro zenon_H29e. zenon_intro zenon_H376.
% 54.71/54.88 apply (zenon_and_s _ _ zenon_H376). zenon_intro zenon_H378. zenon_intro zenon_H377.
% 54.71/54.88 apply (zenon_and_s _ _ zenon_H377). zenon_intro zenon_H37a. zenon_intro zenon_H379.
% 54.71/54.88 apply (zenon_and_s _ _ zenon_H379). zenon_intro zenon_H37c. zenon_intro zenon_H37b.
% 54.71/54.88 apply (zenon_or_s _ _ zenon_H37c); [ zenon_intro zenon_H23f | zenon_intro zenon_H202 ].
% 54.71/54.88 apply (zenon_or_s _ _ zenon_H37b); [ zenon_intro zenon_H20d | zenon_intro zenon_H1c3 ].
% 54.71/54.88 apply (zenon_or_s _ _ zenon_H245); [ zenon_intro zenon_H147 | zenon_intro zenon_H254 ].
% 54.71/54.88 apply (zenon_L60_); trivial.
% 54.71/54.88 apply (zenon_or_s _ _ zenon_H254); [ zenon_intro zenon_H164 | zenon_intro zenon_H255 ].
% 54.71/54.88 apply (zenon_L66_); trivial.
% 54.71/54.88 apply (zenon_or_s _ _ zenon_H255); [ zenon_intro zenon_H197 | zenon_intro zenon_H256 ].
% 54.71/54.88 apply (zenon_L147_); trivial.
% 54.71/54.88 apply (zenon_or_s _ _ zenon_H256); [ zenon_intro zenon_H199 | zenon_intro zenon_H257 ].
% 54.71/54.88 apply (zenon_L77_); trivial.
% 54.71/54.88 apply (zenon_or_s _ _ zenon_H257); [ zenon_intro zenon_H259 | zenon_intro zenon_H258 ].
% 54.71/54.88 apply (zenon_L148_); trivial.
% 54.71/54.88 apply (zenon_or_s _ _ zenon_H258); [ zenon_intro zenon_H1a5 | zenon_intro zenon_H262 ].
% 54.71/54.88 apply (zenon_L80_); trivial.
% 54.71/54.88 apply (zenon_or_s _ _ zenon_H262); [ zenon_intro zenon_H1ae | zenon_intro zenon_H263 ].
% 54.71/54.88 apply (zenon_L83_); trivial.
% 54.71/54.88 apply (zenon_or_s _ _ zenon_H263); [ zenon_intro zenon_H212 | zenon_intro zenon_H264 ].
% 54.71/54.88 apply (zenon_L161_); trivial.
% 54.71/54.88 apply (zenon_or_s _ _ zenon_H264); [ zenon_intro zenon_H220 | zenon_intro zenon_H265 ].
% 54.71/54.88 apply (zenon_L110_); trivial.
% 54.71/54.88 apply (zenon_or_s _ _ zenon_H265); [ zenon_intro zenon_H222 | zenon_intro zenon_H266 ].
% 54.71/54.88 apply (zenon_L111_); trivial.
% 54.71/54.88 apply (zenon_or_s _ _ zenon_H266); [ zenon_intro zenon_H225 | zenon_intro zenon_H267 ].
% 54.71/54.88 apply (zenon_L113_); trivial.
% 54.71/54.88 apply (zenon_or_s _ _ zenon_H267); [ zenon_intro zenon_H22d | zenon_intro zenon_H268 ].
% 54.71/54.88 apply (zenon_L114_); trivial.
% 54.71/54.88 apply (zenon_or_s _ _ zenon_H268); [ zenon_intro zenon_H230 | zenon_intro zenon_H269 ].
% 54.71/54.88 apply (zenon_L115_); trivial.
% 54.71/54.88 apply (zenon_or_s _ _ zenon_H269); [ zenon_intro zenon_H232 | zenon_intro zenon_H26a ].
% 54.71/54.88 apply (zenon_L116_); trivial.
% 54.71/54.88 apply (zenon_or_s _ _ zenon_H26a); [ zenon_intro zenon_H240 | zenon_intro zenon_H242 ].
% 54.71/54.88 apply (zenon_L166_); trivial.
% 54.71/54.88 apply (zenon_L125_); trivial.
% 54.71/54.88 apply (zenon_or_s _ _ zenon_H245); [ zenon_intro zenon_H147 | zenon_intro zenon_H254 ].
% 54.71/54.88 apply (zenon_L60_); trivial.
% 54.71/54.88 apply (zenon_or_s _ _ zenon_H254); [ zenon_intro zenon_H164 | zenon_intro zenon_H255 ].
% 54.71/54.88 apply (zenon_L66_); trivial.
% 54.71/54.88 apply (zenon_or_s _ _ zenon_H255); [ zenon_intro zenon_H197 | zenon_intro zenon_H256 ].
% 54.71/54.88 apply (zenon_L147_); trivial.
% 54.71/54.89 apply (zenon_or_s _ _ zenon_H256); [ zenon_intro zenon_H199 | zenon_intro zenon_H257 ].
% 54.71/54.89 apply (zenon_L77_); trivial.
% 54.71/54.89 apply (zenon_or_s _ _ zenon_H257); [ zenon_intro zenon_H259 | zenon_intro zenon_H258 ].
% 54.71/54.89 apply (zenon_L148_); trivial.
% 54.71/54.89 apply (zenon_or_s _ _ zenon_H258); [ zenon_intro zenon_H1a5 | zenon_intro zenon_H262 ].
% 54.71/54.89 apply (zenon_L80_); trivial.
% 54.71/54.89 apply (zenon_or_s _ _ zenon_H262); [ zenon_intro zenon_H1ae | zenon_intro zenon_H263 ].
% 54.71/54.89 apply (zenon_L83_); trivial.
% 54.71/54.89 apply (zenon_or_s _ _ zenon_H263); [ zenon_intro zenon_H212 | zenon_intro zenon_H264 ].
% 54.71/54.89 apply (zenon_L167_); trivial.
% 54.71/54.89 apply (zenon_or_s _ _ zenon_H264); [ zenon_intro zenon_H220 | zenon_intro zenon_H265 ].
% 54.71/54.89 apply (zenon_L110_); trivial.
% 54.71/54.89 apply (zenon_or_s _ _ zenon_H265); [ zenon_intro zenon_H222 | zenon_intro zenon_H266 ].
% 54.71/54.89 apply (zenon_L111_); trivial.
% 54.71/54.89 apply (zenon_or_s _ _ zenon_H266); [ zenon_intro zenon_H225 | zenon_intro zenon_H267 ].
% 54.71/54.89 apply (zenon_L113_); trivial.
% 54.71/54.89 apply (zenon_or_s _ _ zenon_H267); [ zenon_intro zenon_H22d | zenon_intro zenon_H268 ].
% 54.71/54.89 apply (zenon_L114_); trivial.
% 54.71/54.89 apply (zenon_or_s _ _ zenon_H268); [ zenon_intro zenon_H230 | zenon_intro zenon_H269 ].
% 54.71/54.89 apply (zenon_L115_); trivial.
% 54.71/54.89 apply (zenon_or_s _ _ zenon_H269); [ zenon_intro zenon_H232 | zenon_intro zenon_H26a ].
% 54.71/54.89 apply (zenon_L116_); trivial.
% 54.71/54.89 apply (zenon_or_s _ _ zenon_H26a); [ zenon_intro zenon_H240 | zenon_intro zenon_H242 ].
% 54.71/54.89 apply (zenon_L166_); trivial.
% 54.71/54.89 apply (zenon_L125_); trivial.
% 54.71/54.89 apply (zenon_or_s _ _ zenon_H245); [ zenon_intro zenon_H147 | zenon_intro zenon_H254 ].
% 54.71/54.89 apply (zenon_L60_); trivial.
% 54.71/54.89 apply (zenon_or_s _ _ zenon_H254); [ zenon_intro zenon_H164 | zenon_intro zenon_H255 ].
% 54.71/54.89 apply (zenon_L66_); trivial.
% 54.71/54.89 apply (zenon_or_s _ _ zenon_H255); [ zenon_intro zenon_H197 | zenon_intro zenon_H256 ].
% 54.71/54.89 apply (zenon_L168_); trivial.
% 54.71/54.89 apply (zenon_or_s _ _ zenon_H256); [ zenon_intro zenon_H199 | zenon_intro zenon_H257 ].
% 54.71/54.89 apply (zenon_L77_); trivial.
% 54.71/54.89 apply (zenon_or_s _ _ zenon_H257); [ zenon_intro zenon_H259 | zenon_intro zenon_H258 ].
% 54.71/54.89 apply (zenon_L148_); trivial.
% 54.71/54.89 apply (zenon_or_s _ _ zenon_H258); [ zenon_intro zenon_H1a5 | zenon_intro zenon_H262 ].
% 54.71/54.89 apply (zenon_L80_); trivial.
% 54.71/54.89 apply (zenon_or_s _ _ zenon_H262); [ zenon_intro zenon_H1ae | zenon_intro zenon_H263 ].
% 54.71/54.89 apply (zenon_L83_); trivial.
% 54.71/54.89 apply (zenon_or_s _ _ zenon_H263); [ zenon_intro zenon_H212 | zenon_intro zenon_H264 ].
% 54.71/54.89 apply (zenon_L169_); trivial.
% 54.71/54.89 apply (zenon_or_s _ _ zenon_H264); [ zenon_intro zenon_H220 | zenon_intro zenon_H265 ].
% 54.71/54.89 apply (zenon_L110_); trivial.
% 54.71/54.89 apply (zenon_or_s _ _ zenon_H265); [ zenon_intro zenon_H222 | zenon_intro zenon_H266 ].
% 54.71/54.89 apply (zenon_L111_); trivial.
% 54.71/54.89 apply (zenon_or_s _ _ zenon_H266); [ zenon_intro zenon_H225 | zenon_intro zenon_H267 ].
% 54.71/54.89 apply (zenon_L113_); trivial.
% 54.71/54.89 apply (zenon_or_s _ _ zenon_H267); [ zenon_intro zenon_H22d | zenon_intro zenon_H268 ].
% 54.71/54.89 apply (zenon_L114_); trivial.
% 54.71/54.89 apply (zenon_or_s _ _ zenon_H268); [ zenon_intro zenon_H230 | zenon_intro zenon_H269 ].
% 54.71/54.89 apply (zenon_L115_); trivial.
% 54.71/54.89 apply (zenon_or_s _ _ zenon_H269); [ zenon_intro zenon_H232 | zenon_intro zenon_H26a ].
% 54.71/54.89 apply (zenon_L116_); trivial.
% 54.71/54.89 apply (zenon_or_s _ _ zenon_H26a); [ zenon_intro zenon_H240 | zenon_intro zenon_H242 ].
% 54.71/54.89 apply (zenon_L166_); trivial.
% 54.71/54.89 apply (zenon_L125_); trivial.
% 54.71/54.89 apply (zenon_or_s _ _ zenon_H370); [ zenon_intro zenon_H335 | zenon_intro zenon_H363 ].
% 54.71/54.89 apply (zenon_L260_); trivial.
% 54.71/54.89 apply (zenon_L307_); trivial.
% 54.71/54.89 (* end of lemma zenon_L308_ *)
% 54.71/54.89 assert (zenon_L309_ : (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> ((op2 (e22) (e20)) = (e20)) -> ((op2 (e22) (e22)) = (e20)) -> False).
% 54.71/54.89 do 0 intro. intros zenon_H37d zenon_H121 zenon_H88.
% 54.71/54.89 cut (((op2 (e22) (e20)) = (e20)) = ((op2 (e22) (e20)) = (op2 (e22) (e22)))).
% 54.71/54.89 intro zenon_D_pnotp.
% 54.71/54.89 apply zenon_H37d.
% 54.71/54.89 rewrite <- zenon_D_pnotp.
% 54.71/54.89 exact zenon_H121.
% 54.71/54.89 cut (((e20) = (op2 (e22) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H37e].
% 54.71/54.89 cut (((op2 (e22) (e20)) = (op2 (e22) (e20)))); [idtac | apply NNPP; zenon_intro zenon_Hb4].
% 54.71/54.89 congruence.
% 54.71/54.89 apply zenon_Hb4. apply refl_equal.
% 54.71/54.89 apply zenon_H37e. apply sym_equal. exact zenon_H88.
% 54.71/54.89 (* end of lemma zenon_L309_ *)
% 54.71/54.89 assert (zenon_L310_ : (((op2 (e22) (e22)) = (e20))\/(((op2 (e22) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e22)) = (e23))))) -> ((op2 (e22) (e20)) = (e20)) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> (~((op2 (e22) (e22)) = (e21))) -> (~((op2 (e22) (e22)) = (e22))) -> (~((op2 (e22) (e22)) = (e23))) -> False).
% 54.71/54.89 do 0 intro. intros zenon_H100 zenon_H121 zenon_H37d zenon_H101 zenon_Hd7 zenon_H37f.
% 54.71/54.89 apply (zenon_or_s _ _ zenon_H100); [ zenon_intro zenon_H88 | zenon_intro zenon_H102 ].
% 54.71/54.89 apply (zenon_L309_); trivial.
% 54.71/54.89 apply (zenon_or_s _ _ zenon_H102); [ zenon_intro zenon_H104 | zenon_intro zenon_H103 ].
% 54.71/54.89 exact (zenon_H101 zenon_H104).
% 54.71/54.89 apply (zenon_or_s _ _ zenon_H103); [ zenon_intro zenon_Hd6 | zenon_intro zenon_Hf6 ].
% 54.71/54.89 exact (zenon_Hd7 zenon_Hd6).
% 54.71/54.89 exact (zenon_H37f zenon_Hf6).
% 54.71/54.89 (* end of lemma zenon_L310_ *)
% 54.71/54.89 assert (zenon_L311_ : ((~((op2 (e22) (e23)) = (e22)))\/(~((op2 (e22) (e22)) = (e23)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> ((op2 (e22) (e20)) = (e20)) -> (~((op2 (e22) (e22)) = (e21))) -> (((op2 (e22) (e22)) = (e20))\/(((op2 (e22) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e22)) = (e23))))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e12))\/((op1 (e11) (e10)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> ((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) -> ((e12) = (op1 (op1 (op1 (e11) (e11)) (op1 (e11) (e11))) (op1 (e11) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((e10) = (e12))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e11)) = (e12))\/((op1 (e10) (e11)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (((op1 (e13) (e13)) = (e10))\/(((op1 (e13) (e13)) = (e11))\/(((op1 (e13) (e13)) = (e12))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (~((e12) = (e13))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> ((((op1 (e10) (e10)) = (e10))/\(((op1 (e10) (e10)) = (e10))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11))))/\(((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12))))/\((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))))))))\/((((op1 (e10) (e11)) = (e10))/\(((op1 (e11) (e10)) = (e10))/\(((~((op1 (e11) (e10)) = (e11)))\/(~((op1 (e11) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e11) (e12)) = (e11)))\/(~((op1 (e11) (e11)) = (e12))))/\((~((op1 (e11) (e13)) = (e11)))\/(~((op1 (e11) (e11)) = (e13)))))))))\/((((op1 (e10) (e12)) = (e10))/\(((op1 (e12) (e10)) = (e10))/\(((~((op1 (e12) (e10)) = (e12)))\/(~((op1 (e12) (e12)) = (e10))))/\(((~((op1 (e12) (e11)) = (e12)))\/(~((op1 (e12) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13)))))))))\/((((op1 (e10) (e13)) = (e10))/\(((op1 (e13) (e10)) = (e10))/\(((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e13) (e13)) = (e10))))/\(((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11))))/\(((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e13) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13)))))))))\/((((op1 (e11) (e10)) = (e11))/\(((op1 (e10) (e11)) = (e11))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11))))/\(((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12))))/\((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))))))))\/((((op1 (e11) (e11)) = (e11))/\(((op1 (e11) (e11)) = (e11))/\(((~((op1 (e11) (e10)) = (e11)))\/(~((op1 (e11) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e11) (e12)) = (e11)))\/(~((op1 (e11) (e11)) = (e12))))/\((~((op1 (e11) (e13)) = (e11)))\/(~((op1 (e11) (e11)) = (e13)))))))))\/((((op1 (e11) (e12)) = (e11))/\(((op1 (e12) (e11)) = (e11))/\(((~((op1 (e12) (e10)) = (e12)))\/(~((op1 (e12) (e12)) = (e10))))/\(((~((op1 (e12) (e11)) = (e12)))\/(~((op1 (e12) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13)))))))))\/((((op1 (e11) (e13)) = (e11))/\(((op1 (e13) (e11)) = (e11))/\(((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e13) (e13)) = (e10))))/\(((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11))))/\(((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e13) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13)))))))))\/((((op1 (e12) (e10)) = (e12))/\(((op1 (e10) (e12)) = (e12))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11))))/\(((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12))))/\((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))))))))\/((((op1 (e12) (e11)) = (e12))/\(((op1 (e11) (e12)) = (e12))/\(((~((op1 (e11) (e10)) = (e11)))\/(~((op1 (e11) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e11) (e12)) = (e11)))\/(~((op1 (e11) (e11)) = (e12))))/\((~((op1 (e11) (e13)) = (e11)))\/(~((op1 (e11) (e11)) = (e13)))))))))\/((((op1 (e12) (e12)) = (e12))/\(((op1 (e12) (e12)) = (e12))/\(((~((op1 (e12) (e10)) = (e12)))\/(~((op1 (e12) (e12)) = (e10))))/\(((~((op1 (e12) (e11)) = (e12)))\/(~((op1 (e12) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13)))))))))\/((((op1 (e12) (e13)) = (e12))/\(((op1 (e13) (e12)) = (e12))/\(((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e13) (e13)) = (e10))))/\(((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11))))/\(((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e13) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13)))))))))\/((((op1 (e13) (e10)) = (e13))/\(((op1 (e10) (e13)) = (e13))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11))))/\(((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12))))/\((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))))))))\/((((op1 (e13) (e11)) = (e13))/\(((op1 (e11) (e13)) = (e13))/\(((~((op1 (e11) (e10)) = (e11)))\/(~((op1 (e11) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e11) (e12)) = (e11)))\/(~((op1 (e11) (e11)) = (e12))))/\((~((op1 (e11) (e13)) = (e11)))\/(~((op1 (e11) (e11)) = (e13)))))))))\/((((op1 (e13) (e12)) = (e13))/\(((op1 (e12) (e13)) = (e13))/\(((~((op1 (e12) (e10)) = (e12)))\/(~((op1 (e12) (e12)) = (e10))))/\(((~((op1 (e12) (e11)) = (e12)))\/(~((op1 (e12) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13)))))))))\/(((op1 (e13) (e13)) = (e13))/\(((op1 (e13) (e13)) = (e13))/\(((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e13) (e13)) = (e10))))/\(((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11))))/\(((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e13) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13)))))))))))))))))))))))) -> ((e10) = (op1 (e11) (e11))) -> (~((h2 (op1 (e10) (e11))) = (op2 (h2 (e10)) (h2 (e11))))) -> ((h2 (e11)) = (e21)) -> ((e20) = (op2 (e21) (e21))) -> ((h2 (e10)) = (op2 (e21) (e21))) -> (~((op2 (e21) (e21)) = (e21))) -> (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> (~((op2 (e22) (e22)) = (e22))) -> (~((e21) = (e22))) -> ((e23) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((e22) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> (((op2 (e20) (e21)) = (e20))\/(((op2 (e20) (e21)) = (e21))\/(((op2 (e20) (e21)) = (e22))\/((op2 (e20) (e21)) = (e23))))) -> (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (((op1 (e10) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e12) (e11)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e12) (e13)) = (e10))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> ((((op1 (e10) (op1 (e10) (e10))) = (e10))/\(((op1 (e10) (op1 (e10) (e11))) = (e11))/\(((op1 (e10) (op1 (e10) (e12))) = (e12))/\(((op1 (e10) (op1 (e10) (e13))) = (e13))/\(((~((op1 (e10) (e10)) = (e10)))\/((op1 (e10) (e10)) = (e10)))/\(((~((op1 (e11) (e11)) = (e10)))\/((op1 (e11) (e10)) = (e11)))/\(((~((op1 (e12) (e12)) = (e10)))\/((op1 (e12) (e10)) = (e12)))/\((~((op1 (e13) (e13)) = (e10)))\/((op1 (e13) (e10)) = (e13))))))))))\/((((op1 (e11) (op1 (e11) (e10))) = (e10))/\(((op1 (e11) (op1 (e11) (e11))) = (e11))/\(((op1 (e11) (op1 (e11) (e12))) = (e12))/\(((op1 (e11) (op1 (e11) (e13))) = (e13))/\(((~((op1 (e10) (e10)) = (e11)))\/((op1 (e10) (e11)) = (e10)))/\(((~((op1 (e11) (e11)) = (e11)))\/((op1 (e11) (e11)) = (e11)))/\(((~((op1 (e12) (e12)) = (e11)))\/((op1 (e12) (e11)) = (e12)))/\((~((op1 (e13) (e13)) = (e11)))\/((op1 (e13) (e11)) = (e13))))))))))\/((((op1 (e12) (op1 (e12) (e10))) = (e10))/\(((op1 (e12) (op1 (e12) (e11))) = (e11))/\(((op1 (e12) (op1 (e12) (e12))) = (e12))/\(((op1 (e12) (op1 (e12) (e13))) = (e13))/\(((~((op1 (e10) (e10)) = (e12)))\/((op1 (e10) (e12)) = (e10)))/\(((~((op1 (e11) (e11)) = (e12)))\/((op1 (e11) (e12)) = (e11)))/\(((~((op1 (e12) (e12)) = (e12)))\/((op1 (e12) (e12)) = (e12)))/\((~((op1 (e13) (e13)) = (e12)))\/((op1 (e13) (e12)) = (e13))))))))))\/(((op1 (e13) (op1 (e13) (e10))) = (e10))/\(((op1 (e13) (op1 (e13) (e11))) = (e11))/\(((op1 (e13) (op1 (e13) (e12))) = (e12))/\(((op1 (e13) (op1 (e13) (e13))) = (e13))/\(((~((op1 (e10) (e10)) = (e13)))\/((op1 (e10) (e13)) = (e10)))/\(((~((op1 (e11) (e11)) = (e13)))\/((op1 (e11) (e13)) = (e11)))/\(((~((op1 (e12) (e12)) = (e13)))\/((op1 (e12) (e13)) = (e12)))/\((~((op1 (e13) (e13)) = (e13)))\/((op1 (e13) (e13)) = (e13))))))))))))) -> False).
% 54.71/54.89 do 0 intro. intros zenon_Hdf zenon_H37d zenon_H121 zenon_H101 zenon_H100 zenon_H15f zenon_H15a zenon_H15 zenon_H155 zenon_H154 zenon_H14b zenon_H186 zenon_H180 zenon_H179 zenon_H172 zenon_H16c zenon_H18a zenon_H18e zenon_H192 zenon_H246 zenon_H19d zenon_H1a0 zenon_H25 zenon_H1e zenon_H17 zenon_H1a9 zenon_H209 zenon_H206 zenon_H204 zenon_H1fd zenon_H1fa zenon_H1f7 zenon_H1f4 zenon_H1ed zenon_H1e8 zenon_H1da zenon_H1d8 zenon_H1cc zenon_H1de zenon_H1b1 zenon_H1be zenon_H20c zenon_H21a zenon_H236 zenon_H23b zenon_H245 zenon_H13 zenon_H26f zenon_H270 zenon_H33 zenon_H26c zenon_H28d zenon_Hf1 zenon_Hd7 zenon_H27e zenon_H3b zenon_H3f zenon_Hb0 zenon_H8d zenon_H282 zenon_H286 zenon_H93 zenon_H289 zenon_H28c zenon_H2a3 zenon_H2a5 zenon_H2ad zenon_H2b1 zenon_H2b9 zenon_H2c0 zenon_H2c2 zenon_H32b zenon_H32e zenon_H2fd zenon_H2fb zenon_H2f6 zenon_H2f8 zenon_H328 zenon_H325 zenon_H322 zenon_H321 zenon_H301 zenon_H30b zenon_H30e zenon_H313 zenon_H316 zenon_H2ea zenon_H2e2 zenon_H2e6 zenon_H2e7 zenon_H2d9 zenon_H2c9 zenon_H2d1 zenon_H35d zenon_H360 zenon_H345 zenon_H355 zenon_H358 zenon_H36e.
% 54.71/54.89 apply (zenon_or_s _ _ zenon_Hdf); [ zenon_intro zenon_H281 | zenon_intro zenon_H37f ].
% 54.71/54.89 apply (zenon_L308_); trivial.
% 54.71/54.89 apply (zenon_L310_); trivial.
% 54.71/54.89 (* end of lemma zenon_L311_ *)
% 54.71/54.89 assert (zenon_L312_ : (((op2 (e20) (e22)) = (e20))/\(((op2 (e22) (e20)) = (e20))/\(((~((op2 (e22) (e20)) = (e22)))\/(~((op2 (e22) (e22)) = (e20))))/\(((~((op2 (e22) (e21)) = (e22)))\/(~((op2 (e22) (e22)) = (e21))))/\(((~((op2 (e22) (e22)) = (e22)))\/(~((op2 (e22) (e22)) = (e22))))/\((~((op2 (e22) (e23)) = (e22)))\/(~((op2 (e22) (e22)) = (e23))))))))) -> ((((op1 (e10) (op1 (e10) (e10))) = (e10))/\(((op1 (e10) (op1 (e10) (e11))) = (e11))/\(((op1 (e10) (op1 (e10) (e12))) = (e12))/\(((op1 (e10) (op1 (e10) (e13))) = (e13))/\(((~((op1 (e10) (e10)) = (e10)))\/((op1 (e10) (e10)) = (e10)))/\(((~((op1 (e11) (e11)) = (e10)))\/((op1 (e11) (e10)) = (e11)))/\(((~((op1 (e12) (e12)) = (e10)))\/((op1 (e12) (e10)) = (e12)))/\((~((op1 (e13) (e13)) = (e10)))\/((op1 (e13) (e10)) = (e13))))))))))\/((((op1 (e11) (op1 (e11) (e10))) = (e10))/\(((op1 (e11) (op1 (e11) (e11))) = (e11))/\(((op1 (e11) (op1 (e11) (e12))) = (e12))/\(((op1 (e11) (op1 (e11) (e13))) = (e13))/\(((~((op1 (e10) (e10)) = (e11)))\/((op1 (e10) (e11)) = (e10)))/\(((~((op1 (e11) (e11)) = (e11)))\/((op1 (e11) (e11)) = (e11)))/\(((~((op1 (e12) (e12)) = (e11)))\/((op1 (e12) (e11)) = (e12)))/\((~((op1 (e13) (e13)) = (e11)))\/((op1 (e13) (e11)) = (e13))))))))))\/((((op1 (e12) (op1 (e12) (e10))) = (e10))/\(((op1 (e12) (op1 (e12) (e11))) = (e11))/\(((op1 (e12) (op1 (e12) (e12))) = (e12))/\(((op1 (e12) (op1 (e12) (e13))) = (e13))/\(((~((op1 (e10) (e10)) = (e12)))\/((op1 (e10) (e12)) = (e10)))/\(((~((op1 (e11) (e11)) = (e12)))\/((op1 (e11) (e12)) = (e11)))/\(((~((op1 (e12) (e12)) = (e12)))\/((op1 (e12) (e12)) = (e12)))/\((~((op1 (e13) (e13)) = (e12)))\/((op1 (e13) (e12)) = (e13))))))))))\/(((op1 (e13) (op1 (e13) (e10))) = (e10))/\(((op1 (e13) (op1 (e13) (e11))) = (e11))/\(((op1 (e13) (op1 (e13) (e12))) = (e12))/\(((op1 (e13) (op1 (e13) (e13))) = (e13))/\(((~((op1 (e10) (e10)) = (e13)))\/((op1 (e10) (e13)) = (e10)))/\(((~((op1 (e11) (e11)) = (e13)))\/((op1 (e11) (e13)) = (e11)))/\(((~((op1 (e12) (e12)) = (e13)))\/((op1 (e12) (e13)) = (e12)))/\((~((op1 (e13) (e13)) = (e13)))\/((op1 (e13) (e13)) = (e13))))))))))))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e12) (e13)) = (e10))))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e12) (e11)) = (e13))))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> (((op2 (e20) (e21)) = (e20))\/(((op2 (e20) (e21)) = (e21))\/(((op2 (e20) (e21)) = (e22))\/((op2 (e20) (e21)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> ((e22) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> ((e23) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> (~((e21) = (e22))) -> (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> (~((op2 (e21) (e21)) = (e21))) -> ((h2 (e10)) = (op2 (e21) (e21))) -> ((e20) = (op2 (e21) (e21))) -> ((h2 (e11)) = (e21)) -> (~((h2 (op1 (e10) (e11))) = (op2 (h2 (e10)) (h2 (e11))))) -> ((e10) = (op1 (e11) (e11))) -> ((((op1 (e10) (e10)) = (e10))/\(((op1 (e10) (e10)) = (e10))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11))))/\(((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12))))/\((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))))))))\/((((op1 (e10) (e11)) = (e10))/\(((op1 (e11) (e10)) = (e10))/\(((~((op1 (e11) (e10)) = (e11)))\/(~((op1 (e11) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e11) (e12)) = (e11)))\/(~((op1 (e11) (e11)) = (e12))))/\((~((op1 (e11) (e13)) = (e11)))\/(~((op1 (e11) (e11)) = (e13)))))))))\/((((op1 (e10) (e12)) = (e10))/\(((op1 (e12) (e10)) = (e10))/\(((~((op1 (e12) (e10)) = (e12)))\/(~((op1 (e12) (e12)) = (e10))))/\(((~((op1 (e12) (e11)) = (e12)))\/(~((op1 (e12) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13)))))))))\/((((op1 (e10) (e13)) = (e10))/\(((op1 (e13) (e10)) = (e10))/\(((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e13) (e13)) = (e10))))/\(((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11))))/\(((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e13) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13)))))))))\/((((op1 (e11) (e10)) = (e11))/\(((op1 (e10) (e11)) = (e11))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11))))/\(((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12))))/\((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))))))))\/((((op1 (e11) (e11)) = (e11))/\(((op1 (e11) (e11)) = (e11))/\(((~((op1 (e11) (e10)) = (e11)))\/(~((op1 (e11) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e11) (e12)) = (e11)))\/(~((op1 (e11) (e11)) = (e12))))/\((~((op1 (e11) (e13)) = (e11)))\/(~((op1 (e11) (e11)) = (e13)))))))))\/((((op1 (e11) (e12)) = (e11))/\(((op1 (e12) (e11)) = (e11))/\(((~((op1 (e12) (e10)) = (e12)))\/(~((op1 (e12) (e12)) = (e10))))/\(((~((op1 (e12) (e11)) = (e12)))\/(~((op1 (e12) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13)))))))))\/((((op1 (e11) (e13)) = (e11))/\(((op1 (e13) (e11)) = (e11))/\(((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e13) (e13)) = (e10))))/\(((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11))))/\(((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e13) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13)))))))))\/((((op1 (e12) (e10)) = (e12))/\(((op1 (e10) (e12)) = (e12))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11))))/\(((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12))))/\((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))))))))\/((((op1 (e12) (e11)) = (e12))/\(((op1 (e11) (e12)) = (e12))/\(((~((op1 (e11) (e10)) = (e11)))\/(~((op1 (e11) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e11) (e12)) = (e11)))\/(~((op1 (e11) (e11)) = (e12))))/\((~((op1 (e11) (e13)) = (e11)))\/(~((op1 (e11) (e11)) = (e13)))))))))\/((((op1 (e12) (e12)) = (e12))/\(((op1 (e12) (e12)) = (e12))/\(((~((op1 (e12) (e10)) = (e12)))\/(~((op1 (e12) (e12)) = (e10))))/\(((~((op1 (e12) (e11)) = (e12)))\/(~((op1 (e12) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13)))))))))\/((((op1 (e12) (e13)) = (e12))/\(((op1 (e13) (e12)) = (e12))/\(((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e13) (e13)) = (e10))))/\(((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11))))/\(((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e13) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13)))))))))\/((((op1 (e13) (e10)) = (e13))/\(((op1 (e10) (e13)) = (e13))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11))))/\(((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12))))/\((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))))))))\/((((op1 (e13) (e11)) = (e13))/\(((op1 (e11) (e13)) = (e13))/\(((~((op1 (e11) (e10)) = (e11)))\/(~((op1 (e11) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e11) (e12)) = (e11)))\/(~((op1 (e11) (e11)) = (e12))))/\((~((op1 (e11) (e13)) = (e11)))\/(~((op1 (e11) (e11)) = (e13)))))))))\/((((op1 (e13) (e12)) = (e13))/\(((op1 (e12) (e13)) = (e13))/\(((~((op1 (e12) (e10)) = (e12)))\/(~((op1 (e12) (e12)) = (e10))))/\(((~((op1 (e12) (e11)) = (e12)))\/(~((op1 (e12) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13)))))))))\/(((op1 (e13) (e13)) = (e13))/\(((op1 (e13) (e13)) = (e13))/\(((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e13) (e13)) = (e10))))/\(((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11))))/\(((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e13) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13)))))))))))))))))))))))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((e12) = (e13))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e13) (e13)) = (e10))\/(((op1 (e13) (e13)) = (e11))\/(((op1 (e13) (e13)) = (e12))\/((op1 (e13) (e13)) = (e13))))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (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) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e11)) = (e12))\/((op1 (e10) (e11)) = (e13))))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((e10) = (e12))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> ((e12) = (op1 (op1 (op1 (e11) (e11)) (op1 (e11) (e11))) (op1 (e11) (e11)))) -> ((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e12))\/((op1 (e11) (e10)) = (e13))))) -> (((op2 (e22) (e22)) = (e20))\/(((op2 (e22) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e22)) = (e23))))) -> (~((op2 (e22) (e22)) = (e21))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> False).
% 54.71/54.89 do 0 intro. intros zenon_H77 zenon_H36e zenon_H358 zenon_H355 zenon_H345 zenon_H360 zenon_H35d zenon_H2d1 zenon_H2c9 zenon_H2d9 zenon_H2e7 zenon_H2e6 zenon_H2e2 zenon_H2ea zenon_H316 zenon_H313 zenon_H30e zenon_H30b zenon_H301 zenon_H321 zenon_H322 zenon_H325 zenon_H328 zenon_H2f8 zenon_H2f6 zenon_H2fb zenon_H2fd zenon_H32e zenon_H32b zenon_H2c2 zenon_H2c0 zenon_H2b9 zenon_H2b1 zenon_H2ad zenon_H2a5 zenon_H2a3 zenon_H28c zenon_H289 zenon_H93 zenon_H286 zenon_H282 zenon_H8d zenon_Hb0 zenon_H3f zenon_H3b zenon_H27e zenon_Hf1 zenon_H28d zenon_H26c zenon_H33 zenon_H270 zenon_H26f zenon_H13 zenon_H245 zenon_H23b zenon_H236 zenon_H21a zenon_H20c zenon_H1be zenon_H1b1 zenon_H1de zenon_H1cc zenon_H1d8 zenon_H1da zenon_H1e8 zenon_H1ed zenon_H1f4 zenon_H1f7 zenon_H1fa zenon_H1fd zenon_H204 zenon_H206 zenon_H209 zenon_H1a9 zenon_H17 zenon_H1e zenon_H25 zenon_H1a0 zenon_H19d zenon_H246 zenon_H192 zenon_H18e zenon_H18a zenon_H16c zenon_H172 zenon_H179 zenon_H180 zenon_H186 zenon_H14b zenon_H154 zenon_H155 zenon_H15 zenon_H15a zenon_H15f zenon_H100 zenon_H101 zenon_H37d.
% 54.71/54.89 apply (zenon_and_s _ _ zenon_H77). zenon_intro zenon_H57. zenon_intro zenon_H78.
% 54.71/54.89 apply (zenon_and_s _ _ zenon_H78). zenon_intro zenon_H121. zenon_intro zenon_Hda.
% 54.71/54.89 apply (zenon_and_s _ _ zenon_Hda). zenon_intro zenon_Hdc. zenon_intro zenon_Hdb.
% 54.71/54.89 apply (zenon_and_s _ _ zenon_Hdb). zenon_intro zenon_Hde. zenon_intro zenon_Hdd.
% 54.71/54.89 apply (zenon_and_s _ _ zenon_Hdd). zenon_intro zenon_Hd5. zenon_intro zenon_Hdf.
% 54.71/54.89 apply (zenon_or_s _ _ zenon_Hd5); [ zenon_intro zenon_Hd7 | zenon_intro zenon_Hd7 ].
% 54.71/54.89 apply (zenon_L311_); trivial.
% 54.71/54.89 apply (zenon_L311_); trivial.
% 54.71/54.89 (* end of lemma zenon_L312_ *)
% 54.71/54.89 assert (zenon_L313_ : (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> ((op2 (e23) (e20)) = (e20)) -> ((op2 (e23) (e23)) = (e20)) -> False).
% 54.71/54.89 do 0 intro. intros zenon_H6e zenon_H80 zenon_H380.
% 54.71/54.89 cut (((op2 (e23) (e20)) = (e20)) = ((op2 (e23) (e20)) = (op2 (e23) (e23)))).
% 54.71/54.89 intro zenon_D_pnotp.
% 54.71/54.89 apply zenon_H6e.
% 54.71/54.89 rewrite <- zenon_D_pnotp.
% 54.71/54.89 exact zenon_H80.
% 54.71/54.89 cut (((e20) = (op2 (e23) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H381].
% 54.71/54.89 cut (((op2 (e23) (e20)) = (op2 (e23) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H83].
% 54.71/54.89 congruence.
% 54.71/54.89 apply zenon_H83. apply refl_equal.
% 54.71/54.89 apply zenon_H381. apply sym_equal. exact zenon_H380.
% 54.71/54.89 (* end of lemma zenon_L313_ *)
% 54.71/54.89 assert (zenon_L314_ : (((op2 (e23) (e23)) = (e20))\/(((op2 (e23) (e23)) = (e21))\/(((op2 (e23) (e23)) = (e22))\/((op2 (e23) (e23)) = (e23))))) -> ((op2 (e23) (e20)) = (e20)) -> (~((op2 (e23) (e23)) = (e21))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> ((e23) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((e20) = (op2 (e21) (e21))) -> ((e22) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> (~((op2 (e23) (e23)) = (e23))) -> False).
% 54.71/54.89 do 0 intro. intros zenon_H382 zenon_H80 zenon_H383 zenon_H6e zenon_H3b zenon_H33 zenon_H3f zenon_H107.
% 54.71/54.89 apply (zenon_or_s _ _ zenon_H382); [ zenon_intro zenon_H380 | zenon_intro zenon_H384 ].
% 54.71/54.89 apply (zenon_L313_); trivial.
% 54.71/54.89 apply (zenon_or_s _ _ zenon_H384); [ zenon_intro zenon_H386 | zenon_intro zenon_H385 ].
% 54.71/54.89 exact (zenon_H383 zenon_H386).
% 54.71/54.89 apply (zenon_or_s _ _ zenon_H385); [ zenon_intro zenon_H6d | zenon_intro zenon_H106 ].
% 54.71/54.89 apply (zenon_L17_); trivial.
% 54.71/54.89 exact (zenon_H107 zenon_H106).
% 54.71/54.89 (* end of lemma zenon_L314_ *)
% 54.71/54.89 assert (zenon_L315_ : ((~((op2 (e23) (e23)) = (e23)))\/(~((op2 (e23) (e23)) = (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> ((op2 (e23) (e20)) = (e20)) -> (~((op2 (e23) (e23)) = (e21))) -> ((e22) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> ((e23) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((e20) = (op2 (e21) (e21))) -> (((op2 (e23) (e23)) = (e20))\/(((op2 (e23) (e23)) = (e21))\/(((op2 (e23) (e23)) = (e22))\/((op2 (e23) (e23)) = (e23))))) -> False).
% 54.71/54.89 do 0 intro. intros zenon_H105 zenon_H6e zenon_H80 zenon_H383 zenon_H3f zenon_H3b zenon_H33 zenon_H382.
% 54.71/54.89 apply (zenon_or_s _ _ zenon_H105); [ zenon_intro zenon_H107 | zenon_intro zenon_H107 ].
% 54.71/54.89 apply (zenon_L314_); trivial.
% 54.71/54.89 apply (zenon_L314_); trivial.
% 54.71/54.89 (* end of lemma zenon_L315_ *)
% 54.71/54.89 assert (zenon_L316_ : (((op2 (e20) (e23)) = (e20))/\(((op2 (e23) (e20)) = (e20))/\(((~((op2 (e23) (e20)) = (e23)))\/(~((op2 (e23) (e23)) = (e20))))/\(((~((op2 (e23) (e21)) = (e23)))\/(~((op2 (e23) (e23)) = (e21))))/\(((~((op2 (e23) (e22)) = (e23)))\/(~((op2 (e23) (e23)) = (e22))))/\((~((op2 (e23) (e23)) = (e23)))\/(~((op2 (e23) (e23)) = (e23))))))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e23)) = (e21))) -> ((e22) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> ((e23) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((e20) = (op2 (e21) (e21))) -> (((op2 (e23) (e23)) = (e20))\/(((op2 (e23) (e23)) = (e21))\/(((op2 (e23) (e23)) = (e22))\/((op2 (e23) (e23)) = (e23))))) -> False).
% 54.71/54.89 do 0 intro. intros zenon_H89 zenon_H6e zenon_H383 zenon_H3f zenon_H3b zenon_H33 zenon_H382.
% 54.71/54.89 apply (zenon_and_s _ _ zenon_H89). zenon_intro zenon_H8b. zenon_intro zenon_H8a.
% 54.71/54.89 apply (zenon_and_s _ _ zenon_H8a). zenon_intro zenon_H80. zenon_intro zenon_H8c.
% 54.71/54.89 apply (zenon_and_s _ _ zenon_H8c). zenon_intro zenon_H10b. zenon_intro zenon_H10a.
% 54.71/54.89 apply (zenon_and_s _ _ zenon_H10a). zenon_intro zenon_H10d. zenon_intro zenon_H10c.
% 54.71/54.89 apply (zenon_and_s _ _ zenon_H10c). zenon_intro zenon_H10e. zenon_intro zenon_H105.
% 54.71/54.89 apply (zenon_L315_); trivial.
% 54.71/54.89 (* end of lemma zenon_L316_ *)
% 54.71/54.89 assert (zenon_L317_ : ((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (~((op1 (e12) (e12)) = (e11))) -> ((op1 (e10) (e12)) = (e10)) -> ((op1 (e12) (e10)) = (e10)) -> ((op1 (e11) (op1 (e11) (e10))) = (e10)) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e12))\/((op1 (e11) (e10)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> ((e12) = (op1 (op1 (op1 (e11) (e11)) (op1 (e11) (e11))) (op1 (e11) (e11)))) -> ((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) -> ((e10) = (op1 (e11) (e11))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e11)) = (e12))\/((op1 (e10) (e11)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> ((op2 (e20) (e21)) = (e21)) -> ((h2 (e10)) = (op2 (e21) (e21))) -> ((e20) = (op2 (e21) (e21))) -> ((h2 (e11)) = (e21)) -> (~((h2 (op1 (e10) (e11))) = (op2 (h2 (e10)) (h2 (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (~((op1 (e12) (e12)) = (e12))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> False).
% 54.71/54.89 do 0 intro. intros zenon_H22c zenon_H14b zenon_H1da zenon_H23f zenon_H18f zenon_H293 zenon_H292 zenon_H1de zenon_H154 zenon_H15a zenon_H15f zenon_H21a zenon_H155 zenon_H15 zenon_H13 zenon_H206 zenon_H17 zenon_H204 zenon_H172 zenon_H179 zenon_H180 zenon_H186 zenon_Hb9 zenon_H26c zenon_H33 zenon_H270 zenon_H26f zenon_H19d zenon_H1d1 zenon_H23b.
% 54.71/54.89 apply (zenon_or_s _ _ zenon_H22c); [ zenon_intro zenon_H27d | zenon_intro zenon_H29d ].
% 54.71/54.89 apply (zenon_L132_); trivial.
% 54.71/54.89 apply (zenon_L144_); trivial.
% 54.71/54.89 (* end of lemma zenon_L317_ *)
% 54.71/54.89 assert (zenon_L318_ : (((op1 (e10) (e12)) = (e10))/\(((op1 (e12) (e10)) = (e10))/\(((~((op1 (e12) (e10)) = (e12)))\/(~((op1 (e12) (e12)) = (e10))))/\(((~((op1 (e12) (e11)) = (e12)))\/(~((op1 (e12) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13))))))))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (~((h2 (op1 (e10) (e11))) = (op2 (h2 (e10)) (h2 (e11))))) -> ((h2 (e11)) = (e21)) -> ((e20) = (op2 (e21) (e21))) -> ((h2 (e10)) = (op2 (e21) (e21))) -> ((op2 (e20) (e21)) = (e21)) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e11)) = (e12))\/((op1 (e10) (e11)) = (e13))))) -> ((e10) = (op1 (e11) (e11))) -> ((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) -> ((e12) = (op1 (op1 (op1 (e11) (e11)) (op1 (e11) (e11))) (op1 (e11) (e11)))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e12))\/((op1 (e11) (e10)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> ((op1 (e11) (op1 (e11) (e10))) = (e10)) -> (~((op1 (e12) (e12)) = (e11))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> False).
% 54.71/54.89 do 0 intro. intros zenon_H197 zenon_H23b zenon_H19d zenon_H26f zenon_H270 zenon_H33 zenon_H26c zenon_Hb9 zenon_H186 zenon_H180 zenon_H179 zenon_H172 zenon_H204 zenon_H17 zenon_H206 zenon_H13 zenon_H15 zenon_H155 zenon_H21a zenon_H15f zenon_H15a zenon_H154 zenon_H1de zenon_H292 zenon_H23f zenon_H1da zenon_H14b.
% 54.71/54.89 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_H18f. zenon_intro zenon_H198.
% 54.71/54.89 apply (zenon_and_s _ _ zenon_H198). zenon_intro zenon_H293. zenon_intro zenon_H227.
% 54.71/54.89 apply (zenon_and_s _ _ zenon_H227). zenon_intro zenon_H229. zenon_intro zenon_H228.
% 54.71/54.89 apply (zenon_and_s _ _ zenon_H228). zenon_intro zenon_H22b. zenon_intro zenon_H22a.
% 54.71/54.89 apply (zenon_and_s _ _ zenon_H22a). zenon_intro zenon_H224. zenon_intro zenon_H22c.
% 54.71/54.89 apply (zenon_or_s _ _ zenon_H224); [ zenon_intro zenon_H1d1 | zenon_intro zenon_H1d1 ].
% 54.71/54.89 apply (zenon_L317_); trivial.
% 54.71/54.89 apply (zenon_L317_); trivial.
% 54.71/54.89 (* end of lemma zenon_L318_ *)
% 54.71/54.89 assert (zenon_L319_ : (((op1 (e11) (e10)) = (e11))/\(((op1 (e10) (e11)) = (e11))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11))))/\(((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12))))/\((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13))))))))) -> (~((h2 (op1 (e10) (e11))) = (op2 (h2 (e10)) (h2 (e11))))) -> ((op2 (e20) (e21)) = (e21)) -> ((h2 (e10)) = (op2 (e21) (e21))) -> ((e20) = (op2 (e21) (e21))) -> ((h2 (e11)) = (e21)) -> False).
% 54.71/54.89 do 0 intro. intros zenon_H259 zenon_H26f zenon_Hb9 zenon_H26c zenon_H33 zenon_H270.
% 54.71/54.89 apply (zenon_and_s _ _ zenon_H259). zenon_intro zenon_H163. zenon_intro zenon_H25a.
% 54.71/54.89 apply (zenon_and_s _ _ zenon_H25a). zenon_intro zenon_H1fe. zenon_intro zenon_H149.
% 54.71/54.89 apply (zenon_L129_); trivial.
% 54.71/54.89 (* end of lemma zenon_L319_ *)
% 54.71/54.89 assert (zenon_L320_ : (((op2 (e21) (e20)) = (e21))/\(((op2 (e20) (e21)) = (e21))/\(((~((op2 (e20) (e20)) = (e20)))\/(~((op2 (e20) (e20)) = (e20))))/\(((~((op2 (e20) (e21)) = (e20)))\/(~((op2 (e20) (e20)) = (e21))))/\(((~((op2 (e20) (e22)) = (e20)))\/(~((op2 (e20) (e20)) = (e22))))/\((~((op2 (e20) (e23)) = (e20)))\/(~((op2 (e20) (e20)) = (e23))))))))) -> ((((op1 (e10) (op1 (e10) (e10))) = (e10))/\(((op1 (e10) (op1 (e10) (e11))) = (e11))/\(((op1 (e10) (op1 (e10) (e12))) = (e12))/\(((op1 (e10) (op1 (e10) (e13))) = (e13))/\(((~((op1 (e10) (e10)) = (e10)))\/((op1 (e10) (e10)) = (e10)))/\(((~((op1 (e11) (e11)) = (e10)))\/((op1 (e11) (e10)) = (e11)))/\(((~((op1 (e12) (e12)) = (e10)))\/((op1 (e12) (e10)) = (e12)))/\((~((op1 (e13) (e13)) = (e10)))\/((op1 (e13) (e10)) = (e13))))))))))\/((((op1 (e11) (op1 (e11) (e10))) = (e10))/\(((op1 (e11) (op1 (e11) (e11))) = (e11))/\(((op1 (e11) (op1 (e11) (e12))) = (e12))/\(((op1 (e11) (op1 (e11) (e13))) = (e13))/\(((~((op1 (e10) (e10)) = (e11)))\/((op1 (e10) (e11)) = (e10)))/\(((~((op1 (e11) (e11)) = (e11)))\/((op1 (e11) (e11)) = (e11)))/\(((~((op1 (e12) (e12)) = (e11)))\/((op1 (e12) (e11)) = (e12)))/\((~((op1 (e13) (e13)) = (e11)))\/((op1 (e13) (e11)) = (e13))))))))))\/((((op1 (e12) (op1 (e12) (e10))) = (e10))/\(((op1 (e12) (op1 (e12) (e11))) = (e11))/\(((op1 (e12) (op1 (e12) (e12))) = (e12))/\(((op1 (e12) (op1 (e12) (e13))) = (e13))/\(((~((op1 (e10) (e10)) = (e12)))\/((op1 (e10) (e12)) = (e10)))/\(((~((op1 (e11) (e11)) = (e12)))\/((op1 (e11) (e12)) = (e11)))/\(((~((op1 (e12) (e12)) = (e12)))\/((op1 (e12) (e12)) = (e12)))/\((~((op1 (e13) (e13)) = (e12)))\/((op1 (e13) (e12)) = (e13))))))))))\/(((op1 (e13) (op1 (e13) (e10))) = (e10))/\(((op1 (e13) (op1 (e13) (e11))) = (e11))/\(((op1 (e13) (op1 (e13) (e12))) = (e12))/\(((op1 (e13) (op1 (e13) (e13))) = (e13))/\(((~((op1 (e10) (e10)) = (e13)))\/((op1 (e10) (e13)) = (e10)))/\(((~((op1 (e11) (e11)) = (e13)))\/((op1 (e11) (e13)) = (e11)))/\(((~((op1 (e12) (e12)) = (e13)))\/((op1 (e12) (e13)) = (e12)))/\((~((op1 (e13) (e13)) = (e13)))\/((op1 (e13) (e13)) = (e13))))))))))))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> ((h2 (e10)) = (op2 (e21) (e21))) -> ((e20) = (op2 (e21) (e21))) -> ((h2 (e11)) = (e21)) -> (~((h2 (op1 (e10) (e11))) = (op2 (h2 (e10)) (h2 (e11))))) -> (~((e10) = (e12))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (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)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (((op1 (e10) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e12) (e11)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((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 (e11) (e11)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e12) (e13)) = (e10))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> ((((op1 (e10) (e10)) = (e10))/\(((op1 (e10) (e10)) = (e10))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11))))/\(((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12))))/\((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))))))))\/((((op1 (e10) (e11)) = (e10))/\(((op1 (e11) (e10)) = (e10))/\(((~((op1 (e11) (e10)) = (e11)))\/(~((op1 (e11) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e11) (e12)) = (e11)))\/(~((op1 (e11) (e11)) = (e12))))/\((~((op1 (e11) (e13)) = (e11)))\/(~((op1 (e11) (e11)) = (e13)))))))))\/((((op1 (e10) (e12)) = (e10))/\(((op1 (e12) (e10)) = (e10))/\(((~((op1 (e12) (e10)) = (e12)))\/(~((op1 (e12) (e12)) = (e10))))/\(((~((op1 (e12) (e11)) = (e12)))\/(~((op1 (e12) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13)))))))))\/((((op1 (e10) (e13)) = (e10))/\(((op1 (e13) (e10)) = (e10))/\(((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e13) (e13)) = (e10))))/\(((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11))))/\(((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e13) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13)))))))))\/((((op1 (e11) (e10)) = (e11))/\(((op1 (e10) (e11)) = (e11))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11))))/\(((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12))))/\((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))))))))\/((((op1 (e11) (e11)) = (e11))/\(((op1 (e11) (e11)) = (e11))/\(((~((op1 (e11) (e10)) = (e11)))\/(~((op1 (e11) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e11) (e12)) = (e11)))\/(~((op1 (e11) (e11)) = (e12))))/\((~((op1 (e11) (e13)) = (e11)))\/(~((op1 (e11) (e11)) = (e13)))))))))\/((((op1 (e11) (e12)) = (e11))/\(((op1 (e12) (e11)) = (e11))/\(((~((op1 (e12) (e10)) = (e12)))\/(~((op1 (e12) (e12)) = (e10))))/\(((~((op1 (e12) (e11)) = (e12)))\/(~((op1 (e12) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13)))))))))\/((((op1 (e11) (e13)) = (e11))/\(((op1 (e13) (e11)) = (e11))/\(((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e13) (e13)) = (e10))))/\(((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11))))/\(((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e13) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13)))))))))\/((((op1 (e12) (e10)) = (e12))/\(((op1 (e10) (e12)) = (e12))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11))))/\(((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12))))/\((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))))))))\/((((op1 (e12) (e11)) = (e12))/\(((op1 (e11) (e12)) = (e12))/\(((~((op1 (e11) (e10)) = (e11)))\/(~((op1 (e11) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e11) (e12)) = (e11)))\/(~((op1 (e11) (e11)) = (e12))))/\((~((op1 (e11) (e13)) = (e11)))\/(~((op1 (e11) (e11)) = (e13)))))))))\/((((op1 (e12) (e12)) = (e12))/\(((op1 (e12) (e12)) = (e12))/\(((~((op1 (e12) (e10)) = (e12)))\/(~((op1 (e12) (e12)) = (e10))))/\(((~((op1 (e12) (e11)) = (e12)))\/(~((op1 (e12) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13)))))))))\/((((op1 (e12) (e13)) = (e12))/\(((op1 (e13) (e12)) = (e12))/\(((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e13) (e13)) = (e10))))/\(((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11))))/\(((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e13) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13)))))))))\/((((op1 (e13) (e10)) = (e13))/\(((op1 (e10) (e13)) = (e13))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11))))/\(((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12))))/\((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))))))))\/((((op1 (e13) (e11)) = (e13))/\(((op1 (e11) (e13)) = (e13))/\(((~((op1 (e11) (e10)) = (e11)))\/(~((op1 (e11) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e11) (e12)) = (e11)))\/(~((op1 (e11) (e11)) = (e12))))/\((~((op1 (e11) (e13)) = (e11)))\/(~((op1 (e11) (e11)) = (e13)))))))))\/((((op1 (e13) (e12)) = (e13))/\(((op1 (e12) (e13)) = (e13))/\(((~((op1 (e12) (e10)) = (e12)))\/(~((op1 (e12) (e12)) = (e10))))/\(((~((op1 (e12) (e11)) = (e12)))\/(~((op1 (e12) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13)))))))))\/(((op1 (e13) (e13)) = (e13))/\(((op1 (e13) (e13)) = (e13))/\(((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e13) (e13)) = (e10))))/\(((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11))))/\(((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e13) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13)))))))))))))))))))))))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((e12) = (e13))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e13)) = (e10))\/(((op1 (e13) (e13)) = (e11))\/(((op1 (e13) (e13)) = (e12))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> ((e12) = (op1 (op1 (op1 (e11) (e11)) (op1 (e11) (e11))) (op1 (e11) (e11)))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e12))\/((op1 (e11) (e10)) = (e13))))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> ((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) -> ((e10) = (op1 (e11) (e11))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> False).
% 54.71/54.89 do 0 intro. intros zenon_Hb6 zenon_H36e zenon_H192 zenon_H1ed zenon_H1de zenon_H26c zenon_H33 zenon_H270 zenon_H26f zenon_H16c zenon_H2a5 zenon_H2b1 zenon_H1fa zenon_H1e8 zenon_H1f7 zenon_H32b zenon_H206 zenon_H32e zenon_H1a9 zenon_H246 zenon_H2fd zenon_H2c0 zenon_H2b9 zenon_H328 zenon_H325 zenon_H322 zenon_H1f4 zenon_H2c2 zenon_H321 zenon_H301 zenon_H30b zenon_H204 zenon_H30e zenon_H316 zenon_H19d zenon_H2ea zenon_H2e2 zenon_H2a3 zenon_H2e6 zenon_H2d9 zenon_H1cc zenon_H2d1 zenon_H245 zenon_H1d8 zenon_H1da zenon_H209 zenon_H358 zenon_H2c9 zenon_H355 zenon_H1fd zenon_H2f6 zenon_H23b zenon_H2ad zenon_H236 zenon_H2e7 zenon_H21a zenon_H313 zenon_H1be zenon_H345 zenon_H20c zenon_H1b1 zenon_H186 zenon_H180 zenon_H179 zenon_H172 zenon_H18e zenon_H14b zenon_H154 zenon_H155 zenon_H15a zenon_H15f zenon_H2fb zenon_H360 zenon_H2f8 zenon_H35d zenon_H18a zenon_H17 zenon_H15 zenon_H13 zenon_H1e zenon_H25 zenon_H1a0.
% 54.71/54.89 apply (zenon_and_s _ _ zenon_Hb6). zenon_intro zenon_H4e. zenon_intro zenon_Hb8.
% 54.71/54.89 apply (zenon_and_s _ _ zenon_Hb8). zenon_intro zenon_Hb9. zenon_intro zenon_H2e.
% 54.71/54.89 apply (zenon_or_s _ _ zenon_H36e); [ zenon_intro zenon_H244 | zenon_intro zenon_H36f ].
% 54.71/54.89 apply (zenon_L126_); trivial.
% 54.71/54.89 apply (zenon_or_s _ _ zenon_H36f); [ zenon_intro zenon_H371 | zenon_intro zenon_H370 ].
% 54.71/54.89 apply (zenon_and_s _ _ zenon_H371). zenon_intro zenon_H292. zenon_intro zenon_H372.
% 54.71/54.89 apply (zenon_and_s _ _ zenon_H372). zenon_intro zenon_H2a6. zenon_intro zenon_H373.
% 54.71/54.89 apply (zenon_and_s _ _ zenon_H373). zenon_intro zenon_H375. zenon_intro zenon_H374.
% 54.71/54.89 apply (zenon_and_s _ _ zenon_H374). zenon_intro zenon_H29e. zenon_intro zenon_H376.
% 54.71/54.89 apply (zenon_and_s _ _ zenon_H376). zenon_intro zenon_H378. zenon_intro zenon_H377.
% 54.71/54.89 apply (zenon_and_s _ _ zenon_H377). zenon_intro zenon_H37a. zenon_intro zenon_H379.
% 54.71/54.89 apply (zenon_and_s _ _ zenon_H379). zenon_intro zenon_H37c. zenon_intro zenon_H37b.
% 54.71/54.89 apply (zenon_or_s _ _ zenon_H37c); [ zenon_intro zenon_H23f | zenon_intro zenon_H202 ].
% 54.71/54.89 apply (zenon_or_s _ _ zenon_H37b); [ zenon_intro zenon_H20d | zenon_intro zenon_H1c3 ].
% 54.71/54.89 apply (zenon_or_s _ _ zenon_H245); [ zenon_intro zenon_H147 | zenon_intro zenon_H254 ].
% 54.71/54.89 apply (zenon_L60_); trivial.
% 54.71/54.89 apply (zenon_or_s _ _ zenon_H254); [ zenon_intro zenon_H164 | zenon_intro zenon_H255 ].
% 54.71/54.89 apply (zenon_L66_); trivial.
% 54.71/54.89 apply (zenon_or_s _ _ zenon_H255); [ zenon_intro zenon_H197 | zenon_intro zenon_H256 ].
% 54.71/54.89 apply (zenon_L318_); trivial.
% 54.71/54.89 apply (zenon_or_s _ _ zenon_H256); [ zenon_intro zenon_H199 | zenon_intro zenon_H257 ].
% 54.71/54.89 apply (zenon_L77_); trivial.
% 54.71/54.89 apply (zenon_or_s _ _ zenon_H257); [ zenon_intro zenon_H259 | zenon_intro zenon_H258 ].
% 54.71/54.89 apply (zenon_L319_); trivial.
% 54.71/54.89 apply (zenon_or_s _ _ zenon_H258); [ zenon_intro zenon_H1a5 | zenon_intro zenon_H262 ].
% 54.71/54.89 apply (zenon_L80_); trivial.
% 54.71/54.89 apply (zenon_or_s _ _ zenon_H262); [ zenon_intro zenon_H1ae | zenon_intro zenon_H263 ].
% 54.71/54.89 apply (zenon_L83_); trivial.
% 54.71/54.89 apply (zenon_or_s _ _ zenon_H263); [ zenon_intro zenon_H212 | zenon_intro zenon_H264 ].
% 54.71/54.89 apply (zenon_L161_); trivial.
% 54.71/54.89 apply (zenon_or_s _ _ zenon_H264); [ zenon_intro zenon_H220 | zenon_intro zenon_H265 ].
% 54.71/54.89 apply (zenon_L110_); trivial.
% 54.71/54.89 apply (zenon_or_s _ _ zenon_H265); [ zenon_intro zenon_H222 | zenon_intro zenon_H266 ].
% 54.71/54.89 apply (zenon_L111_); trivial.
% 54.71/54.89 apply (zenon_or_s _ _ zenon_H266); [ zenon_intro zenon_H225 | zenon_intro zenon_H267 ].
% 54.71/54.89 apply (zenon_L113_); trivial.
% 54.71/54.89 apply (zenon_or_s _ _ zenon_H267); [ zenon_intro zenon_H22d | zenon_intro zenon_H268 ].
% 54.71/54.89 apply (zenon_L114_); trivial.
% 54.71/54.89 apply (zenon_or_s _ _ zenon_H268); [ zenon_intro zenon_H230 | zenon_intro zenon_H269 ].
% 54.71/54.89 apply (zenon_L115_); trivial.
% 54.71/54.89 apply (zenon_or_s _ _ zenon_H269); [ zenon_intro zenon_H232 | zenon_intro zenon_H26a ].
% 54.71/54.89 apply (zenon_L116_); trivial.
% 54.71/54.89 apply (zenon_or_s _ _ zenon_H26a); [ zenon_intro zenon_H240 | zenon_intro zenon_H242 ].
% 54.71/54.89 apply (zenon_L166_); trivial.
% 54.71/54.89 apply (zenon_L125_); trivial.
% 54.71/54.89 apply (zenon_or_s _ _ zenon_H245); [ zenon_intro zenon_H147 | zenon_intro zenon_H254 ].
% 54.71/54.89 apply (zenon_L60_); trivial.
% 54.71/54.89 apply (zenon_or_s _ _ zenon_H254); [ zenon_intro zenon_H164 | zenon_intro zenon_H255 ].
% 54.71/54.89 apply (zenon_L66_); trivial.
% 54.71/54.89 apply (zenon_or_s _ _ zenon_H255); [ zenon_intro zenon_H197 | zenon_intro zenon_H256 ].
% 54.71/54.89 apply (zenon_L318_); trivial.
% 54.71/54.89 apply (zenon_or_s _ _ zenon_H256); [ zenon_intro zenon_H199 | zenon_intro zenon_H257 ].
% 54.71/54.89 apply (zenon_L77_); trivial.
% 54.71/54.89 apply (zenon_or_s _ _ zenon_H257); [ zenon_intro zenon_H259 | zenon_intro zenon_H258 ].
% 54.71/54.89 apply (zenon_L319_); trivial.
% 54.71/54.89 apply (zenon_or_s _ _ zenon_H258); [ zenon_intro zenon_H1a5 | zenon_intro zenon_H262 ].
% 54.71/54.89 apply (zenon_L80_); trivial.
% 54.71/54.89 apply (zenon_or_s _ _ zenon_H262); [ zenon_intro zenon_H1ae | zenon_intro zenon_H263 ].
% 54.71/54.89 apply (zenon_L83_); trivial.
% 54.71/54.89 apply (zenon_or_s _ _ zenon_H263); [ zenon_intro zenon_H212 | zenon_intro zenon_H264 ].
% 54.71/54.89 apply (zenon_L167_); trivial.
% 54.71/54.89 apply (zenon_or_s _ _ zenon_H264); [ zenon_intro zenon_H220 | zenon_intro zenon_H265 ].
% 54.71/54.89 apply (zenon_L110_); trivial.
% 54.71/54.89 apply (zenon_or_s _ _ zenon_H265); [ zenon_intro zenon_H222 | zenon_intro zenon_H266 ].
% 54.71/54.89 apply (zenon_L111_); trivial.
% 54.71/54.89 apply (zenon_or_s _ _ zenon_H266); [ zenon_intro zenon_H225 | zenon_intro zenon_H267 ].
% 54.71/54.89 apply (zenon_L113_); trivial.
% 54.71/54.89 apply (zenon_or_s _ _ zenon_H267); [ zenon_intro zenon_H22d | zenon_intro zenon_H268 ].
% 54.71/54.89 apply (zenon_L114_); trivial.
% 54.71/54.89 apply (zenon_or_s _ _ zenon_H268); [ zenon_intro zenon_H230 | zenon_intro zenon_H269 ].
% 54.71/54.89 apply (zenon_L115_); trivial.
% 54.71/54.89 apply (zenon_or_s _ _ zenon_H269); [ zenon_intro zenon_H232 | zenon_intro zenon_H26a ].
% 54.71/54.89 apply (zenon_L116_); trivial.
% 54.71/54.89 apply (zenon_or_s _ _ zenon_H26a); [ zenon_intro zenon_H240 | zenon_intro zenon_H242 ].
% 54.71/54.89 apply (zenon_L166_); trivial.
% 54.71/54.89 apply (zenon_L125_); trivial.
% 54.71/54.89 apply (zenon_L131_); trivial.
% 54.71/54.89 apply (zenon_or_s _ _ zenon_H370); [ zenon_intro zenon_H335 | zenon_intro zenon_H363 ].
% 54.71/54.89 apply (zenon_L260_); trivial.
% 54.71/54.89 apply (zenon_L307_); trivial.
% 54.71/54.89 (* end of lemma zenon_L320_ *)
% 54.71/54.89 assert (zenon_L321_ : (((op2 (e21) (e20)) = (e20))\/(((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e20)) = (e22))\/((op2 (e21) (e20)) = (e23))))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e23)))) -> (((op2 (e21) (e23)) = (e21))/\(((op2 (e23) (e21)) = (e21))/\(((~((op2 (e23) (e20)) = (e23)))\/(~((op2 (e23) (e23)) = (e20))))/\(((~((op2 (e23) (e21)) = (e23)))\/(~((op2 (e23) (e23)) = (e21))))/\(((~((op2 (e23) (e22)) = (e23)))\/(~((op2 (e23) (e23)) = (e22))))/\((~((op2 (e23) (e23)) = (e23)))\/(~((op2 (e23) (e23)) = (e23))))))))) -> ((e22) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> ((e23) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((e20) = (op2 (e21) (e21))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> False).
% 54.71/54.89 do 0 intro. intros zenon_H4a zenon_H32 zenon_Hca zenon_Hcd zenon_H3f zenon_H3e zenon_H3b zenon_H33 zenon_H45.
% 54.71/54.89 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H34 | zenon_intro zenon_H4c ].
% 54.71/54.89 apply (zenon_L6_); trivial.
% 54.71/54.89 apply (zenon_or_s _ _ zenon_H4c); [ zenon_intro zenon_H4e | zenon_intro zenon_H4d ].
% 54.71/54.89 apply (zenon_L37_); trivial.
% 54.71/54.89 apply (zenon_or_s _ _ zenon_H4d); [ zenon_intro zenon_H40 | zenon_intro zenon_H44 ].
% 54.71/54.89 apply (zenon_L8_); trivial.
% 54.71/54.89 apply (zenon_L10_); trivial.
% 54.71/54.89 (* end of lemma zenon_L321_ *)
% 54.71/54.89 assert (zenon_L322_ : (~((op2 (op2 (e21) (e21)) (op2 (e21) (e21))) = (op2 (e20) (e23)))) -> ((op2 (e21) (e21)) = (e23)) -> ((e20) = (op2 (e21) (e21))) -> False).
% 54.71/54.89 do 0 intro. intros zenon_H387 zenon_H388 zenon_H33.
% 54.71/54.89 cut (((op2 (e21) (e21)) = (e23))); [idtac | apply NNPP; zenon_intro zenon_H389].
% 54.71/54.89 cut (((op2 (e21) (e21)) = (e20))); [idtac | apply NNPP; zenon_intro zenon_H3c].
% 54.71/54.89 congruence.
% 54.71/54.89 apply zenon_H3c. apply sym_equal. exact zenon_H33.
% 54.71/54.89 exact (zenon_H389 zenon_H388).
% 54.71/54.89 (* end of lemma zenon_L322_ *)
% 54.71/54.89 assert (zenon_L323_ : ((e23) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((op2 (e22) (e23)) = (e23)) -> ((op2 (e21) (e21)) = (e23)) -> ((e20) = (op2 (e21) (e21))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> False).
% 54.71/54.89 do 0 intro. intros zenon_H3b zenon_Heb zenon_H388 zenon_H33 zenon_H116.
% 54.71/54.89 elim (classic ((op2 (e22) (e23)) = (op2 (e22) (e23)))); [ zenon_intro zenon_H38a | zenon_intro zenon_H38b ].
% 54.71/54.89 cut (((op2 (e22) (e23)) = (op2 (e22) (e23))) = ((op2 (e20) (e23)) = (op2 (e22) (e23)))).
% 54.71/54.89 intro zenon_D_pnotp.
% 54.71/54.89 apply zenon_H116.
% 54.71/54.89 rewrite <- zenon_D_pnotp.
% 54.71/54.89 exact zenon_H38a.
% 54.71/54.89 cut (((op2 (e22) (e23)) = (op2 (e22) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H38b].
% 54.71/54.89 cut (((op2 (e22) (e23)) = (op2 (e20) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H38c].
% 54.71/54.89 congruence.
% 54.71/54.89 cut (((e23) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) = ((op2 (e22) (e23)) = (op2 (e20) (e23)))).
% 54.71/54.89 intro zenon_D_pnotp.
% 54.71/54.89 apply zenon_H38c.
% 54.71/54.89 rewrite <- zenon_D_pnotp.
% 54.71/54.89 exact zenon_H3b.
% 54.71/54.89 cut (((op2 (op2 (e21) (e21)) (op2 (e21) (e21))) = (op2 (e20) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H387].
% 54.71/54.89 cut (((e23) = (op2 (e22) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H38d].
% 54.71/54.89 congruence.
% 54.71/54.89 elim (classic ((op2 (e22) (e23)) = (op2 (e22) (e23)))); [ zenon_intro zenon_H38a | zenon_intro zenon_H38b ].
% 54.71/54.89 cut (((op2 (e22) (e23)) = (op2 (e22) (e23))) = ((e23) = (op2 (e22) (e23)))).
% 54.71/54.89 intro zenon_D_pnotp.
% 54.71/54.89 apply zenon_H38d.
% 54.71/54.89 rewrite <- zenon_D_pnotp.
% 54.71/54.89 exact zenon_H38a.
% 54.71/54.89 cut (((op2 (e22) (e23)) = (op2 (e22) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H38b].
% 54.71/54.89 cut (((op2 (e22) (e23)) = (e23))); [idtac | apply NNPP; zenon_intro zenon_Hf0].
% 54.71/54.89 congruence.
% 54.71/54.89 exact (zenon_Hf0 zenon_Heb).
% 54.71/54.89 apply zenon_H38b. apply refl_equal.
% 54.71/54.89 apply zenon_H38b. apply refl_equal.
% 54.71/54.89 apply (zenon_L322_); trivial.
% 54.71/54.89 apply zenon_H38b. apply refl_equal.
% 54.71/54.89 apply zenon_H38b. apply refl_equal.
% 54.71/54.89 (* end of lemma zenon_L323_ *)
% 54.71/54.89 assert (zenon_L324_ : ((op2 (e23) (e22)) = (e23)) -> ((op2 (e21) (e22)) = (e23)) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> False).
% 54.71/54.89 do 0 intro. intros zenon_Hfb zenon_H38e zenon_H38f.
% 54.71/54.89 elim (classic ((op2 (e23) (e22)) = (op2 (e23) (e22)))); [ zenon_intro zenon_H68 | zenon_intro zenon_H69 ].
% 54.71/54.89 cut (((op2 (e23) (e22)) = (op2 (e23) (e22))) = ((op2 (e21) (e22)) = (op2 (e23) (e22)))).
% 54.71/54.89 intro zenon_D_pnotp.
% 54.71/54.89 apply zenon_H38f.
% 54.71/54.89 rewrite <- zenon_D_pnotp.
% 54.71/54.89 exact zenon_H68.
% 54.71/54.89 cut (((op2 (e23) (e22)) = (op2 (e23) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H69].
% 54.71/54.89 cut (((op2 (e23) (e22)) = (op2 (e21) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H390].
% 54.71/54.89 congruence.
% 54.71/54.89 cut (((op2 (e23) (e22)) = (e23)) = ((op2 (e23) (e22)) = (op2 (e21) (e22)))).
% 54.71/54.89 intro zenon_D_pnotp.
% 54.71/54.89 apply zenon_H390.
% 54.71/54.89 rewrite <- zenon_D_pnotp.
% 54.71/54.89 exact zenon_Hfb.
% 54.71/54.89 cut (((e23) = (op2 (e21) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H391].
% 54.71/54.89 cut (((op2 (e23) (e22)) = (op2 (e23) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H69].
% 54.71/54.89 congruence.
% 54.71/54.89 apply zenon_H69. apply refl_equal.
% 54.71/54.89 apply zenon_H391. apply sym_equal. exact zenon_H38e.
% 54.71/54.89 apply zenon_H69. apply refl_equal.
% 54.71/54.89 apply zenon_H69. apply refl_equal.
% 54.71/54.89 (* end of lemma zenon_L324_ *)
% 54.71/54.89 assert (zenon_L325_ : (~((op2 (e21) (e23)) = (op2 (e21) (op2 (e21) (e23))))) -> ((op2 (e21) (e23)) = (e23)) -> False).
% 54.71/54.89 do 0 intro. intros zenon_H392 zenon_He9.
% 54.71/54.89 cut (((e23) = (op2 (e21) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H393].
% 54.71/54.89 cut (((e21) = (e21))); [idtac | apply NNPP; zenon_intro zenon_H26e].
% 54.71/54.89 congruence.
% 54.71/54.89 apply zenon_H26e. apply refl_equal.
% 54.71/54.89 apply zenon_H393. apply sym_equal. exact zenon_He9.
% 54.71/54.89 (* end of lemma zenon_L325_ *)
% 54.71/54.89 assert (zenon_L326_ : (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> ((op2 (e21) (op2 (e21) (e23))) = (e23)) -> ((op2 (e21) (e23)) = (e23)) -> ((op2 (e22) (e23)) = (e23)) -> False).
% 54.71/54.89 do 0 intro. intros zenon_H394 zenon_H395 zenon_He9 zenon_Heb.
% 54.71/54.89 cut (((op2 (e21) (op2 (e21) (e23))) = (e23)) = ((op2 (e21) (e23)) = (op2 (e22) (e23)))).
% 54.71/54.89 intro zenon_D_pnotp.
% 54.71/54.89 apply zenon_H394.
% 54.71/54.89 rewrite <- zenon_D_pnotp.
% 54.71/54.89 exact zenon_H395.
% 54.71/54.89 cut (((e23) = (op2 (e22) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H38d].
% 54.71/54.89 cut (((op2 (e21) (op2 (e21) (e23))) = (op2 (e21) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H396].
% 54.71/54.89 congruence.
% 54.71/54.89 elim (classic ((op2 (e21) (e23)) = (op2 (e21) (e23)))); [ zenon_intro zenon_H397 | zenon_intro zenon_H398 ].
% 54.71/54.89 cut (((op2 (e21) (e23)) = (op2 (e21) (e23))) = ((op2 (e21) (op2 (e21) (e23))) = (op2 (e21) (e23)))).
% 54.71/54.89 intro zenon_D_pnotp.
% 54.71/54.89 apply zenon_H396.
% 54.71/54.89 rewrite <- zenon_D_pnotp.
% 54.71/54.89 exact zenon_H397.
% 54.71/54.89 cut (((op2 (e21) (e23)) = (op2 (e21) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H398].
% 54.71/54.89 cut (((op2 (e21) (e23)) = (op2 (e21) (op2 (e21) (e23))))); [idtac | apply NNPP; zenon_intro zenon_H392].
% 54.71/54.89 congruence.
% 54.71/54.89 apply (zenon_L325_); trivial.
% 54.71/54.89 apply zenon_H398. apply refl_equal.
% 54.71/54.89 apply zenon_H398. apply refl_equal.
% 54.71/54.89 apply zenon_H38d. apply sym_equal. exact zenon_Heb.
% 54.71/54.89 (* end of lemma zenon_L326_ *)
% 54.71/54.89 assert (zenon_L327_ : (((op2 (e21) (e20)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/((op2 (e21) (e23)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> ((e20) = (op2 (e21) (e21))) -> ((e23) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> ((op2 (e23) (e22)) = (e23)) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> ((op2 (e21) (op2 (e21) (e23))) = (e23)) -> ((op2 (e22) (e23)) = (e23)) -> False).
% 54.71/54.89 do 0 intro. intros zenon_H399 zenon_H45 zenon_H116 zenon_H33 zenon_H3b zenon_H38f zenon_Hfb zenon_H394 zenon_H395 zenon_Heb.
% 54.71/54.89 apply (zenon_or_s _ _ zenon_H399); [ zenon_intro zenon_H44 | zenon_intro zenon_H39a ].
% 54.71/54.89 apply (zenon_L10_); trivial.
% 54.71/54.89 apply (zenon_or_s _ _ zenon_H39a); [ zenon_intro zenon_H388 | zenon_intro zenon_H39b ].
% 54.71/54.89 apply (zenon_L323_); trivial.
% 54.71/54.89 apply (zenon_or_s _ _ zenon_H39b); [ zenon_intro zenon_H38e | zenon_intro zenon_He9 ].
% 54.71/54.89 apply (zenon_L324_); trivial.
% 54.71/54.89 apply (zenon_L326_); trivial.
% 54.71/54.89 (* end of lemma zenon_L327_ *)
% 54.71/54.89 assert (zenon_L328_ : (((op2 (e23) (e22)) = (e23))/\(((op2 (e22) (e23)) = (e23))/\(((~((op2 (e22) (e20)) = (e22)))\/(~((op2 (e22) (e22)) = (e20))))/\(((~((op2 (e22) (e21)) = (e22)))\/(~((op2 (e22) (e22)) = (e21))))/\(((~((op2 (e22) (e22)) = (e22)))\/(~((op2 (e22) (e22)) = (e22))))/\((~((op2 (e22) (e23)) = (e22)))\/(~((op2 (e22) (e22)) = (e23))))))))) -> (((op2 (e21) (e20)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/((op2 (e21) (e23)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> ((e20) = (op2 (e21) (e21))) -> ((e23) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> ((op2 (e21) (op2 (e21) (e23))) = (e23)) -> False).
% 54.71/54.89 do 0 intro. intros zenon_H142 zenon_H399 zenon_H45 zenon_H116 zenon_H33 zenon_H3b zenon_H38f zenon_H394 zenon_H395.
% 54.71/54.89 apply (zenon_and_s _ _ zenon_H142). zenon_intro zenon_Hfb. zenon_intro zenon_H143.
% 54.71/54.89 apply (zenon_and_s _ _ zenon_H143). zenon_intro zenon_Heb. zenon_intro zenon_Hda.
% 54.71/54.89 apply (zenon_L327_); trivial.
% 54.71/54.89 (* end of lemma zenon_L328_ *)
% 54.71/54.89 assert (zenon_L329_ : (((op2 (e20) (e23)) = (e20))/\(((op2 (e23) (e20)) = (e20))/\(((~((op2 (e23) (e20)) = (e23)))\/(~((op2 (e23) (e23)) = (e20))))/\(((~((op2 (e23) (e21)) = (e23)))\/(~((op2 (e23) (e23)) = (e21))))/\(((~((op2 (e23) (e22)) = (e23)))\/(~((op2 (e23) (e23)) = (e22))))/\((~((op2 (e23) (e23)) = (e23)))\/(~((op2 (e23) (e23)) = (e23))))))))) -> (((op2 (e23) (e23)) = (e20))\/(((op2 (e23) (e23)) = (e21))\/(((op2 (e23) (e23)) = (e22))\/((op2 (e23) (e23)) = (e23))))) -> ((e20) = (op2 (e21) (e21))) -> ((e23) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((e22) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> ((op2 (e23) (e21)) = (e23)) -> False).
% 54.71/54.89 do 0 intro. intros zenon_H89 zenon_H382 zenon_H33 zenon_H3b zenon_H3f zenon_H6e zenon_He8.
% 54.71/54.89 apply (zenon_and_s _ _ zenon_H89). zenon_intro zenon_H8b. zenon_intro zenon_H8a.
% 54.71/54.89 apply (zenon_and_s _ _ zenon_H8a). zenon_intro zenon_H80. zenon_intro zenon_H8c.
% 54.71/54.89 apply (zenon_and_s _ _ zenon_H8c). zenon_intro zenon_H10b. zenon_intro zenon_H10a.
% 54.71/54.89 apply (zenon_and_s _ _ zenon_H10a). zenon_intro zenon_H10d. zenon_intro zenon_H10c.
% 54.71/54.89 apply (zenon_and_s _ _ zenon_H10c). zenon_intro zenon_H10e. zenon_intro zenon_H105.
% 54.71/54.89 apply (zenon_or_s _ _ zenon_H10d); [ zenon_intro zenon_H39c | zenon_intro zenon_H383 ].
% 54.71/54.89 exact (zenon_H39c zenon_He8).
% 54.71/54.89 apply (zenon_L315_); trivial.
% 54.71/54.89 (* end of lemma zenon_L329_ *)
% 54.71/54.89 assert (zenon_L330_ : (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> ((op2 (e21) (op2 (e21) (e23))) = (e23)) -> ((op2 (e21) (e23)) = (e21)) -> ((op2 (e23) (e21)) = (e23)) -> False).
% 54.71/54.89 do 0 intro. intros zenon_H39d zenon_H395 zenon_Hcb zenon_He8.
% 54.71/54.89 cut (((op2 (e21) (op2 (e21) (e23))) = (e23)) = ((op2 (e21) (e21)) = (op2 (e23) (e21)))).
% 54.71/54.89 intro zenon_D_pnotp.
% 54.71/54.89 apply zenon_H39d.
% 54.71/54.89 rewrite <- zenon_D_pnotp.
% 54.71/54.89 exact zenon_H395.
% 54.71/54.89 cut (((e23) = (op2 (e23) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H39e].
% 54.71/54.89 cut (((op2 (e21) (op2 (e21) (e23))) = (op2 (e21) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H39f].
% 54.71/54.89 congruence.
% 54.71/54.89 elim (classic ((op2 (e21) (e21)) = (op2 (e21) (e21)))); [ zenon_intro zenon_H3a0 | zenon_intro zenon_H35 ].
% 54.71/54.89 cut (((op2 (e21) (e21)) = (op2 (e21) (e21))) = ((op2 (e21) (op2 (e21) (e23))) = (op2 (e21) (e21)))).
% 54.71/54.89 intro zenon_D_pnotp.
% 54.71/54.89 apply zenon_H39f.
% 54.71/54.89 rewrite <- zenon_D_pnotp.
% 54.71/54.89 exact zenon_H3a0.
% 54.71/54.89 cut (((op2 (e21) (e21)) = (op2 (e21) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H35].
% 54.71/54.89 cut (((op2 (e21) (e21)) = (op2 (e21) (op2 (e21) (e23))))); [idtac | apply NNPP; zenon_intro zenon_H3a1].
% 54.71/54.89 congruence.
% 54.71/54.89 cut (((e21) = (op2 (e21) (e23)))); [idtac | apply NNPP; zenon_intro zenon_Hcc].
% 54.71/54.89 cut (((e21) = (e21))); [idtac | apply NNPP; zenon_intro zenon_H26e].
% 54.71/54.89 congruence.
% 54.71/54.89 apply zenon_H26e. apply refl_equal.
% 54.71/54.89 apply zenon_Hcc. apply sym_equal. exact zenon_Hcb.
% 54.71/54.89 apply zenon_H35. apply refl_equal.
% 54.71/54.89 apply zenon_H35. apply refl_equal.
% 54.71/54.89 apply zenon_H39e. apply sym_equal. exact zenon_He8.
% 54.71/54.89 (* end of lemma zenon_L330_ *)
% 54.71/54.89 assert (zenon_L331_ : (((op2 (e21) (e23)) = (e21))/\(((op2 (e23) (e21)) = (e21))/\(((~((op2 (e23) (e20)) = (e23)))\/(~((op2 (e23) (e23)) = (e20))))/\(((~((op2 (e23) (e21)) = (e23)))\/(~((op2 (e23) (e23)) = (e21))))/\(((~((op2 (e23) (e22)) = (e23)))\/(~((op2 (e23) (e23)) = (e22))))/\((~((op2 (e23) (e23)) = (e23)))\/(~((op2 (e23) (e23)) = (e23))))))))) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> ((op2 (e21) (op2 (e21) (e23))) = (e23)) -> ((op2 (e23) (e21)) = (e23)) -> False).
% 54.71/54.89 do 0 intro. intros zenon_Hcd zenon_H39d zenon_H395 zenon_He8.
% 54.71/54.89 apply (zenon_and_s _ _ zenon_Hcd). zenon_intro zenon_Hcb. zenon_intro zenon_Hce.
% 54.71/54.89 apply (zenon_L330_); trivial.
% 54.71/54.89 (* end of lemma zenon_L331_ *)
% 54.71/54.89 assert (zenon_L332_ : (((op1 (e11) (e10)) = (e11))/\(((op1 (e10) (e11)) = (e11))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11))))/\(((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12))))/\((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13))))))))) -> (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> ((h2 (e11)) = (e21)) -> ((h2 (e10)) = (op2 (e21) (e21))) -> (~((h2 (op1 (e10) (e11))) = (op2 (h2 (e10)) (h2 (e11))))) -> (~((op2 (e21) (e21)) = (e21))) -> (~((e21) = (e22))) -> (((op2 (e20) (e21)) = (e20))\/(((op2 (e20) (e21)) = (e21))\/(((op2 (e20) (e21)) = (e22))\/((op2 (e20) (e21)) = (e23))))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> ((op2 (e22) (e21)) = (e22)) -> ((e23) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((e20) = (op2 (e21) (e21))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> False).
% 54.73/54.90 do 0 intro. intros zenon_H259 zenon_H28c zenon_H270 zenon_H26c zenon_H26f zenon_H28d zenon_H27e zenon_H289 zenon_H8d zenon_H282 zenon_H286 zenon_Hd3 zenon_H3b zenon_H33 zenon_H93.
% 54.73/54.90 apply (zenon_and_s _ _ zenon_H259). zenon_intro zenon_H163. zenon_intro zenon_H25a.
% 54.73/54.90 apply (zenon_and_s _ _ zenon_H25a). zenon_intro zenon_H1fe. zenon_intro zenon_H149.
% 54.73/54.90 apply (zenon_or_s _ _ zenon_H28c); [ zenon_intro zenon_Hb9 | zenon_intro zenon_H28e ].
% 54.73/54.90 apply (zenon_L129_); trivial.
% 54.73/54.90 apply (zenon_or_s _ _ zenon_H28e); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H28f ].
% 54.73/54.90 exact (zenon_H28d zenon_Hc3).
% 54.73/54.90 apply (zenon_or_s _ _ zenon_H28f); [ zenon_intro zenon_H27f | zenon_intro zenon_H283 ].
% 54.73/54.90 apply (zenon_L133_); trivial.
% 54.73/54.90 apply (zenon_L137_); trivial.
% 54.73/54.90 (* end of lemma zenon_L332_ *)
% 54.73/54.90 assert (zenon_L333_ : ((~((op2 (e22) (e23)) = (e22)))\/(~((op2 (e22) (e22)) = (e23)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> ((op2 (e22) (e20)) = (e20)) -> (~((op2 (e22) (e22)) = (e21))) -> (((op2 (e22) (e22)) = (e20))\/(((op2 (e22) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e22)) = (e23))))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e12))\/((op1 (e11) (e10)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> ((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) -> ((e12) = (op1 (op1 (op1 (e11) (e11)) (op1 (e11) (e11))) (op1 (e11) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((e10) = (e12))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e11)) = (e12))\/((op1 (e10) (e11)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (((op1 (e13) (e13)) = (e10))\/(((op1 (e13) (e13)) = (e11))\/(((op1 (e13) (e13)) = (e12))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (~((e12) = (e13))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> ((((op1 (e10) (e10)) = (e10))/\(((op1 (e10) (e10)) = (e10))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11))))/\(((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12))))/\((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))))))))\/((((op1 (e10) (e11)) = (e10))/\(((op1 (e11) (e10)) = (e10))/\(((~((op1 (e11) (e10)) = (e11)))\/(~((op1 (e11) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e11) (e12)) = (e11)))\/(~((op1 (e11) (e11)) = (e12))))/\((~((op1 (e11) (e13)) = (e11)))\/(~((op1 (e11) (e11)) = (e13)))))))))\/((((op1 (e10) (e12)) = (e10))/\(((op1 (e12) (e10)) = (e10))/\(((~((op1 (e12) (e10)) = (e12)))\/(~((op1 (e12) (e12)) = (e10))))/\(((~((op1 (e12) (e11)) = (e12)))\/(~((op1 (e12) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13)))))))))\/((((op1 (e10) (e13)) = (e10))/\(((op1 (e13) (e10)) = (e10))/\(((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e13) (e13)) = (e10))))/\(((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11))))/\(((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e13) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13)))))))))\/((((op1 (e11) (e10)) = (e11))/\(((op1 (e10) (e11)) = (e11))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11))))/\(((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12))))/\((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))))))))\/((((op1 (e11) (e11)) = (e11))/\(((op1 (e11) (e11)) = (e11))/\(((~((op1 (e11) (e10)) = (e11)))\/(~((op1 (e11) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e11) (e12)) = (e11)))\/(~((op1 (e11) (e11)) = (e12))))/\((~((op1 (e11) (e13)) = (e11)))\/(~((op1 (e11) (e11)) = (e13)))))))))\/((((op1 (e11) (e12)) = (e11))/\(((op1 (e12) (e11)) = (e11))/\(((~((op1 (e12) (e10)) = (e12)))\/(~((op1 (e12) (e12)) = (e10))))/\(((~((op1 (e12) (e11)) = (e12)))\/(~((op1 (e12) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13)))))))))\/((((op1 (e11) (e13)) = (e11))/\(((op1 (e13) (e11)) = (e11))/\(((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e13) (e13)) = (e10))))/\(((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11))))/\(((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e13) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13)))))))))\/((((op1 (e12) (e10)) = (e12))/\(((op1 (e10) (e12)) = (e12))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11))))/\(((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12))))/\((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))))))))\/((((op1 (e12) (e11)) = (e12))/\(((op1 (e11) (e12)) = (e12))/\(((~((op1 (e11) (e10)) = (e11)))\/(~((op1 (e11) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e11) (e12)) = (e11)))\/(~((op1 (e11) (e11)) = (e12))))/\((~((op1 (e11) (e13)) = (e11)))\/(~((op1 (e11) (e11)) = (e13)))))))))\/((((op1 (e12) (e12)) = (e12))/\(((op1 (e12) (e12)) = (e12))/\(((~((op1 (e12) (e10)) = (e12)))\/(~((op1 (e12) (e12)) = (e10))))/\(((~((op1 (e12) (e11)) = (e12)))\/(~((op1 (e12) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13)))))))))\/((((op1 (e12) (e13)) = (e12))/\(((op1 (e13) (e12)) = (e12))/\(((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e13) (e13)) = (e10))))/\(((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11))))/\(((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e13) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13)))))))))\/((((op1 (e13) (e10)) = (e13))/\(((op1 (e10) (e13)) = (e13))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11))))/\(((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12))))/\((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))))))))\/((((op1 (e13) (e11)) = (e13))/\(((op1 (e11) (e13)) = (e13))/\(((~((op1 (e11) (e10)) = (e11)))\/(~((op1 (e11) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e11) (e12)) = (e11)))\/(~((op1 (e11) (e11)) = (e12))))/\((~((op1 (e11) (e13)) = (e11)))\/(~((op1 (e11) (e11)) = (e13)))))))))\/((((op1 (e13) (e12)) = (e13))/\(((op1 (e12) (e13)) = (e13))/\(((~((op1 (e12) (e10)) = (e12)))\/(~((op1 (e12) (e12)) = (e10))))/\(((~((op1 (e12) (e11)) = (e12)))\/(~((op1 (e12) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13)))))))))\/(((op1 (e13) (e13)) = (e13))/\(((op1 (e13) (e13)) = (e13))/\(((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e13) (e13)) = (e10))))/\(((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11))))/\(((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e13) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13)))))))))))))))))))))))) -> ((e10) = (op1 (e11) (e11))) -> (~((h2 (op1 (e10) (e11))) = (op2 (h2 (e10)) (h2 (e11))))) -> ((h2 (e11)) = (e21)) -> ((e20) = (op2 (e21) (e21))) -> ((h2 (e10)) = (op2 (e21) (e21))) -> (~((op2 (e21) (e21)) = (e21))) -> (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> (~((op2 (e22) (e22)) = (e22))) -> (~((e21) = (e22))) -> ((e23) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((e22) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> (((op2 (e20) (e21)) = (e20))\/(((op2 (e20) (e21)) = (e21))\/(((op2 (e20) (e21)) = (e22))\/((op2 (e20) (e21)) = (e23))))) -> (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> ((op2 (e22) (e21)) = (e22)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (((op1 (e10) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e12) (e11)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e12) (e13)) = (e10))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> ((((op1 (e10) (op1 (e10) (e10))) = (e10))/\(((op1 (e10) (op1 (e10) (e11))) = (e11))/\(((op1 (e10) (op1 (e10) (e12))) = (e12))/\(((op1 (e10) (op1 (e10) (e13))) = (e13))/\(((~((op1 (e10) (e10)) = (e10)))\/((op1 (e10) (e10)) = (e10)))/\(((~((op1 (e11) (e11)) = (e10)))\/((op1 (e11) (e10)) = (e11)))/\(((~((op1 (e12) (e12)) = (e10)))\/((op1 (e12) (e10)) = (e12)))/\((~((op1 (e13) (e13)) = (e10)))\/((op1 (e13) (e10)) = (e13))))))))))\/((((op1 (e11) (op1 (e11) (e10))) = (e10))/\(((op1 (e11) (op1 (e11) (e11))) = (e11))/\(((op1 (e11) (op1 (e11) (e12))) = (e12))/\(((op1 (e11) (op1 (e11) (e13))) = (e13))/\(((~((op1 (e10) (e10)) = (e11)))\/((op1 (e10) (e11)) = (e10)))/\(((~((op1 (e11) (e11)) = (e11)))\/((op1 (e11) (e11)) = (e11)))/\(((~((op1 (e12) (e12)) = (e11)))\/((op1 (e12) (e11)) = (e12)))/\((~((op1 (e13) (e13)) = (e11)))\/((op1 (e13) (e11)) = (e13))))))))))\/((((op1 (e12) (op1 (e12) (e10))) = (e10))/\(((op1 (e12) (op1 (e12) (e11))) = (e11))/\(((op1 (e12) (op1 (e12) (e12))) = (e12))/\(((op1 (e12) (op1 (e12) (e13))) = (e13))/\(((~((op1 (e10) (e10)) = (e12)))\/((op1 (e10) (e12)) = (e10)))/\(((~((op1 (e11) (e11)) = (e12)))\/((op1 (e11) (e12)) = (e11)))/\(((~((op1 (e12) (e12)) = (e12)))\/((op1 (e12) (e12)) = (e12)))/\((~((op1 (e13) (e13)) = (e12)))\/((op1 (e13) (e12)) = (e13))))))))))\/(((op1 (e13) (op1 (e13) (e10))) = (e10))/\(((op1 (e13) (op1 (e13) (e11))) = (e11))/\(((op1 (e13) (op1 (e13) (e12))) = (e12))/\(((op1 (e13) (op1 (e13) (e13))) = (e13))/\(((~((op1 (e10) (e10)) = (e13)))\/((op1 (e10) (e13)) = (e10)))/\(((~((op1 (e11) (e11)) = (e13)))\/((op1 (e11) (e13)) = (e11)))/\(((~((op1 (e12) (e12)) = (e13)))\/((op1 (e12) (e13)) = (e12)))/\((~((op1 (e13) (e13)) = (e13)))\/((op1 (e13) (e13)) = (e13))))))))))))) -> False).
% 54.73/54.90 do 0 intro. intros zenon_Hdf zenon_H37d zenon_H121 zenon_H101 zenon_H100 zenon_H15f zenon_H15a zenon_H15 zenon_H155 zenon_H154 zenon_H14b zenon_H186 zenon_H180 zenon_H179 zenon_H172 zenon_H16c zenon_H18a zenon_H18e zenon_H192 zenon_H246 zenon_H19d zenon_H1a0 zenon_H25 zenon_H1e zenon_H17 zenon_H1a9 zenon_H209 zenon_H206 zenon_H204 zenon_H1fd zenon_H1fa zenon_H1f7 zenon_H1f4 zenon_H1ed zenon_H1e8 zenon_H1da zenon_H1d8 zenon_H1cc zenon_H1de zenon_H1b1 zenon_H1be zenon_H20c zenon_H21a zenon_H236 zenon_H23b zenon_H245 zenon_H13 zenon_H26f zenon_H270 zenon_H33 zenon_H26c zenon_H28d zenon_Hf1 zenon_Hd7 zenon_H27e zenon_H3b zenon_H3f zenon_Hb0 zenon_H8d zenon_H282 zenon_H286 zenon_H93 zenon_H289 zenon_H28c zenon_Hd3 zenon_H2a3 zenon_H2a5 zenon_H2ad zenon_H2b1 zenon_H2b9 zenon_H2c0 zenon_H2c2 zenon_H32b zenon_H32e zenon_H2fd zenon_H2fb zenon_H2f6 zenon_H2f8 zenon_H328 zenon_H325 zenon_H322 zenon_H321 zenon_H301 zenon_H30b zenon_H30e zenon_H313 zenon_H316 zenon_H2ea zenon_H2e2 zenon_H2e6 zenon_H2e7 zenon_H2d9 zenon_H2c9 zenon_H2d1 zenon_H35d zenon_H360 zenon_H345 zenon_H355 zenon_H358 zenon_H36e.
% 54.73/54.90 apply (zenon_or_s _ _ zenon_Hdf); [ zenon_intro zenon_H281 | zenon_intro zenon_H37f ].
% 54.73/54.90 apply (zenon_or_s _ _ zenon_H36e); [ zenon_intro zenon_H244 | zenon_intro zenon_H36f ].
% 54.73/54.90 apply (zenon_L126_); trivial.
% 54.73/54.90 apply (zenon_or_s _ _ zenon_H36f); [ zenon_intro zenon_H371 | zenon_intro zenon_H370 ].
% 54.73/54.90 apply (zenon_and_s _ _ zenon_H371). zenon_intro zenon_H292. zenon_intro zenon_H372.
% 54.73/54.90 apply (zenon_and_s _ _ zenon_H372). zenon_intro zenon_H2a6. zenon_intro zenon_H373.
% 54.73/54.90 apply (zenon_and_s _ _ zenon_H373). zenon_intro zenon_H375. zenon_intro zenon_H374.
% 54.73/54.90 apply (zenon_and_s _ _ zenon_H374). zenon_intro zenon_H29e. zenon_intro zenon_H376.
% 54.73/54.90 apply (zenon_and_s _ _ zenon_H376). zenon_intro zenon_H378. zenon_intro zenon_H377.
% 54.73/54.90 apply (zenon_and_s _ _ zenon_H377). zenon_intro zenon_H37a. zenon_intro zenon_H379.
% 54.73/54.90 apply (zenon_and_s _ _ zenon_H379). zenon_intro zenon_H37c. zenon_intro zenon_H37b.
% 54.73/54.90 apply (zenon_or_s _ _ zenon_H37c); [ zenon_intro zenon_H23f | zenon_intro zenon_H202 ].
% 54.73/54.90 apply (zenon_or_s _ _ zenon_H37b); [ zenon_intro zenon_H20d | zenon_intro zenon_H1c3 ].
% 54.73/54.90 apply (zenon_or_s _ _ zenon_H245); [ zenon_intro zenon_H147 | zenon_intro zenon_H254 ].
% 54.73/54.90 apply (zenon_L60_); trivial.
% 54.73/54.90 apply (zenon_or_s _ _ zenon_H254); [ zenon_intro zenon_H164 | zenon_intro zenon_H255 ].
% 54.73/54.90 apply (zenon_L66_); trivial.
% 54.73/54.90 apply (zenon_or_s _ _ zenon_H255); [ zenon_intro zenon_H197 | zenon_intro zenon_H256 ].
% 54.73/54.90 apply (zenon_L147_); trivial.
% 54.73/54.90 apply (zenon_or_s _ _ zenon_H256); [ zenon_intro zenon_H199 | zenon_intro zenon_H257 ].
% 54.73/54.90 apply (zenon_L77_); trivial.
% 54.73/54.90 apply (zenon_or_s _ _ zenon_H257); [ zenon_intro zenon_H259 | zenon_intro zenon_H258 ].
% 54.73/54.90 apply (zenon_L332_); trivial.
% 54.73/54.90 apply (zenon_or_s _ _ zenon_H258); [ zenon_intro zenon_H1a5 | zenon_intro zenon_H262 ].
% 54.73/54.90 apply (zenon_L80_); trivial.
% 54.73/54.90 apply (zenon_or_s _ _ zenon_H262); [ zenon_intro zenon_H1ae | zenon_intro zenon_H263 ].
% 54.73/54.90 apply (zenon_L83_); trivial.
% 54.73/54.90 apply (zenon_or_s _ _ zenon_H263); [ zenon_intro zenon_H212 | zenon_intro zenon_H264 ].
% 54.73/54.90 apply (zenon_L161_); trivial.
% 54.73/54.90 apply (zenon_or_s _ _ zenon_H264); [ zenon_intro zenon_H220 | zenon_intro zenon_H265 ].
% 54.73/54.90 apply (zenon_L110_); trivial.
% 54.73/54.90 apply (zenon_or_s _ _ zenon_H265); [ zenon_intro zenon_H222 | zenon_intro zenon_H266 ].
% 54.73/54.90 apply (zenon_L111_); trivial.
% 54.73/54.90 apply (zenon_or_s _ _ zenon_H266); [ zenon_intro zenon_H225 | zenon_intro zenon_H267 ].
% 54.73/54.90 apply (zenon_L113_); trivial.
% 54.73/54.90 apply (zenon_or_s _ _ zenon_H267); [ zenon_intro zenon_H22d | zenon_intro zenon_H268 ].
% 54.73/54.90 apply (zenon_L114_); trivial.
% 54.73/54.90 apply (zenon_or_s _ _ zenon_H268); [ zenon_intro zenon_H230 | zenon_intro zenon_H269 ].
% 54.73/54.90 apply (zenon_L115_); trivial.
% 54.73/54.90 apply (zenon_or_s _ _ zenon_H269); [ zenon_intro zenon_H232 | zenon_intro zenon_H26a ].
% 54.73/54.90 apply (zenon_L116_); trivial.
% 54.73/54.90 apply (zenon_or_s _ _ zenon_H26a); [ zenon_intro zenon_H240 | zenon_intro zenon_H242 ].
% 54.73/54.90 apply (zenon_L166_); trivial.
% 54.73/54.90 apply (zenon_L125_); trivial.
% 54.73/54.90 apply (zenon_or_s _ _ zenon_H245); [ zenon_intro zenon_H147 | zenon_intro zenon_H254 ].
% 54.73/54.90 apply (zenon_L60_); trivial.
% 54.73/54.90 apply (zenon_or_s _ _ zenon_H254); [ zenon_intro zenon_H164 | zenon_intro zenon_H255 ].
% 54.73/54.90 apply (zenon_L66_); trivial.
% 54.73/54.90 apply (zenon_or_s _ _ zenon_H255); [ zenon_intro zenon_H197 | zenon_intro zenon_H256 ].
% 54.73/54.90 apply (zenon_L147_); trivial.
% 54.73/54.90 apply (zenon_or_s _ _ zenon_H256); [ zenon_intro zenon_H199 | zenon_intro zenon_H257 ].
% 54.73/54.90 apply (zenon_L77_); trivial.
% 54.73/54.90 apply (zenon_or_s _ _ zenon_H257); [ zenon_intro zenon_H259 | zenon_intro zenon_H258 ].
% 54.73/54.90 apply (zenon_L332_); trivial.
% 54.73/54.90 apply (zenon_or_s _ _ zenon_H258); [ zenon_intro zenon_H1a5 | zenon_intro zenon_H262 ].
% 54.73/54.90 apply (zenon_L80_); trivial.
% 54.73/54.90 apply (zenon_or_s _ _ zenon_H262); [ zenon_intro zenon_H1ae | zenon_intro zenon_H263 ].
% 54.73/54.90 apply (zenon_L83_); trivial.
% 54.73/54.90 apply (zenon_or_s _ _ zenon_H263); [ zenon_intro zenon_H212 | zenon_intro zenon_H264 ].
% 54.73/54.90 apply (zenon_L167_); trivial.
% 54.73/54.90 apply (zenon_or_s _ _ zenon_H264); [ zenon_intro zenon_H220 | zenon_intro zenon_H265 ].
% 54.73/54.90 apply (zenon_L110_); trivial.
% 54.73/54.90 apply (zenon_or_s _ _ zenon_H265); [ zenon_intro zenon_H222 | zenon_intro zenon_H266 ].
% 54.73/54.90 apply (zenon_L111_); trivial.
% 54.73/54.90 apply (zenon_or_s _ _ zenon_H266); [ zenon_intro zenon_H225 | zenon_intro zenon_H267 ].
% 54.73/54.90 apply (zenon_L113_); trivial.
% 54.73/54.90 apply (zenon_or_s _ _ zenon_H267); [ zenon_intro zenon_H22d | zenon_intro zenon_H268 ].
% 54.73/54.90 apply (zenon_L114_); trivial.
% 54.73/54.90 apply (zenon_or_s _ _ zenon_H268); [ zenon_intro zenon_H230 | zenon_intro zenon_H269 ].
% 54.73/54.90 apply (zenon_L115_); trivial.
% 54.73/54.90 apply (zenon_or_s _ _ zenon_H269); [ zenon_intro zenon_H232 | zenon_intro zenon_H26a ].
% 54.73/54.90 apply (zenon_L116_); trivial.
% 54.73/54.90 apply (zenon_or_s _ _ zenon_H26a); [ zenon_intro zenon_H240 | zenon_intro zenon_H242 ].
% 54.73/54.90 apply (zenon_L166_); trivial.
% 54.73/54.90 apply (zenon_L125_); trivial.
% 54.73/54.90 apply (zenon_or_s _ _ zenon_H245); [ zenon_intro zenon_H147 | zenon_intro zenon_H254 ].
% 54.73/54.90 apply (zenon_L60_); trivial.
% 54.73/54.90 apply (zenon_or_s _ _ zenon_H254); [ zenon_intro zenon_H164 | zenon_intro zenon_H255 ].
% 54.73/54.90 apply (zenon_L66_); trivial.
% 54.73/54.90 apply (zenon_or_s _ _ zenon_H255); [ zenon_intro zenon_H197 | zenon_intro zenon_H256 ].
% 54.73/54.90 apply (zenon_L168_); trivial.
% 54.73/54.90 apply (zenon_or_s _ _ zenon_H256); [ zenon_intro zenon_H199 | zenon_intro zenon_H257 ].
% 54.73/54.90 apply (zenon_L77_); trivial.
% 54.73/54.90 apply (zenon_or_s _ _ zenon_H257); [ zenon_intro zenon_H259 | zenon_intro zenon_H258 ].
% 54.73/54.90 apply (zenon_L332_); trivial.
% 54.73/54.90 apply (zenon_or_s _ _ zenon_H258); [ zenon_intro zenon_H1a5 | zenon_intro zenon_H262 ].
% 54.73/54.90 apply (zenon_L80_); trivial.
% 54.73/54.90 apply (zenon_or_s _ _ zenon_H262); [ zenon_intro zenon_H1ae | zenon_intro zenon_H263 ].
% 54.73/54.90 apply (zenon_L83_); trivial.
% 54.73/54.90 apply (zenon_or_s _ _ zenon_H263); [ zenon_intro zenon_H212 | zenon_intro zenon_H264 ].
% 54.73/54.90 apply (zenon_L169_); trivial.
% 54.73/54.90 apply (zenon_or_s _ _ zenon_H264); [ zenon_intro zenon_H220 | zenon_intro zenon_H265 ].
% 54.73/54.90 apply (zenon_L110_); trivial.
% 54.73/54.90 apply (zenon_or_s _ _ zenon_H265); [ zenon_intro zenon_H222 | zenon_intro zenon_H266 ].
% 54.73/54.90 apply (zenon_L111_); trivial.
% 54.73/54.90 apply (zenon_or_s _ _ zenon_H266); [ zenon_intro zenon_H225 | zenon_intro zenon_H267 ].
% 54.73/54.90 apply (zenon_L113_); trivial.
% 54.73/54.90 apply (zenon_or_s _ _ zenon_H267); [ zenon_intro zenon_H22d | zenon_intro zenon_H268 ].
% 54.73/54.90 apply (zenon_L114_); trivial.
% 54.73/54.90 apply (zenon_or_s _ _ zenon_H268); [ zenon_intro zenon_H230 | zenon_intro zenon_H269 ].
% 54.73/54.90 apply (zenon_L115_); trivial.
% 54.73/54.90 apply (zenon_or_s _ _ zenon_H269); [ zenon_intro zenon_H232 | zenon_intro zenon_H26a ].
% 54.73/54.90 apply (zenon_L116_); trivial.
% 54.73/54.90 apply (zenon_or_s _ _ zenon_H26a); [ zenon_intro zenon_H240 | zenon_intro zenon_H242 ].
% 54.73/54.90 apply (zenon_L166_); trivial.
% 54.73/54.90 apply (zenon_L125_); trivial.
% 54.73/54.90 apply (zenon_or_s _ _ zenon_H370); [ zenon_intro zenon_H335 | zenon_intro zenon_H363 ].
% 54.73/54.90 apply (zenon_L260_); trivial.
% 54.73/54.90 apply (zenon_L307_); trivial.
% 54.73/54.90 apply (zenon_L310_); trivial.
% 54.73/54.90 (* end of lemma zenon_L333_ *)
% 54.73/54.90 assert (zenon_L334_ : (((op2 (e20) (e22)) = (e20))/\(((op2 (e22) (e20)) = (e20))/\(((~((op2 (e22) (e20)) = (e22)))\/(~((op2 (e22) (e22)) = (e20))))/\(((~((op2 (e22) (e21)) = (e22)))\/(~((op2 (e22) (e22)) = (e21))))/\(((~((op2 (e22) (e22)) = (e22)))\/(~((op2 (e22) (e22)) = (e22))))/\((~((op2 (e22) (e23)) = (e22)))\/(~((op2 (e22) (e22)) = (e23))))))))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> (((op2 (e22) (e22)) = (e20))\/(((op2 (e22) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e22)) = (e23))))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e12))\/((op1 (e11) (e10)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> ((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) -> ((e12) = (op1 (op1 (op1 (e11) (e11)) (op1 (e11) (e11))) (op1 (e11) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((e10) = (e12))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e11)) = (e12))\/((op1 (e10) (e11)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (((op1 (e13) (e13)) = (e10))\/(((op1 (e13) (e13)) = (e11))\/(((op1 (e13) (e13)) = (e12))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (~((e12) = (e13))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> ((((op1 (e10) (e10)) = (e10))/\(((op1 (e10) (e10)) = (e10))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11))))/\(((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12))))/\((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))))))))\/((((op1 (e10) (e11)) = (e10))/\(((op1 (e11) (e10)) = (e10))/\(((~((op1 (e11) (e10)) = (e11)))\/(~((op1 (e11) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e11) (e12)) = (e11)))\/(~((op1 (e11) (e11)) = (e12))))/\((~((op1 (e11) (e13)) = (e11)))\/(~((op1 (e11) (e11)) = (e13)))))))))\/((((op1 (e10) (e12)) = (e10))/\(((op1 (e12) (e10)) = (e10))/\(((~((op1 (e12) (e10)) = (e12)))\/(~((op1 (e12) (e12)) = (e10))))/\(((~((op1 (e12) (e11)) = (e12)))\/(~((op1 (e12) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13)))))))))\/((((op1 (e10) (e13)) = (e10))/\(((op1 (e13) (e10)) = (e10))/\(((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e13) (e13)) = (e10))))/\(((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11))))/\(((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e13) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13)))))))))\/((((op1 (e11) (e10)) = (e11))/\(((op1 (e10) (e11)) = (e11))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11))))/\(((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12))))/\((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))))))))\/((((op1 (e11) (e11)) = (e11))/\(((op1 (e11) (e11)) = (e11))/\(((~((op1 (e11) (e10)) = (e11)))\/(~((op1 (e11) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e11) (e12)) = (e11)))\/(~((op1 (e11) (e11)) = (e12))))/\((~((op1 (e11) (e13)) = (e11)))\/(~((op1 (e11) (e11)) = (e13)))))))))\/((((op1 (e11) (e12)) = (e11))/\(((op1 (e12) (e11)) = (e11))/\(((~((op1 (e12) (e10)) = (e12)))\/(~((op1 (e12) (e12)) = (e10))))/\(((~((op1 (e12) (e11)) = (e12)))\/(~((op1 (e12) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13)))))))))\/((((op1 (e11) (e13)) = (e11))/\(((op1 (e13) (e11)) = (e11))/\(((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e13) (e13)) = (e10))))/\(((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11))))/\(((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e13) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13)))))))))\/((((op1 (e12) (e10)) = (e12))/\(((op1 (e10) (e12)) = (e12))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11))))/\(((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12))))/\((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))))))))\/((((op1 (e12) (e11)) = (e12))/\(((op1 (e11) (e12)) = (e12))/\(((~((op1 (e11) (e10)) = (e11)))\/(~((op1 (e11) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e11) (e12)) = (e11)))\/(~((op1 (e11) (e11)) = (e12))))/\((~((op1 (e11) (e13)) = (e11)))\/(~((op1 (e11) (e11)) = (e13)))))))))\/((((op1 (e12) (e12)) = (e12))/\(((op1 (e12) (e12)) = (e12))/\(((~((op1 (e12) (e10)) = (e12)))\/(~((op1 (e12) (e12)) = (e10))))/\(((~((op1 (e12) (e11)) = (e12)))\/(~((op1 (e12) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13)))))))))\/((((op1 (e12) (e13)) = (e12))/\(((op1 (e13) (e12)) = (e12))/\(((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e13) (e13)) = (e10))))/\(((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11))))/\(((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e13) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13)))))))))\/((((op1 (e13) (e10)) = (e13))/\(((op1 (e10) (e13)) = (e13))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11))))/\(((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12))))/\((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))))))))\/((((op1 (e13) (e11)) = (e13))/\(((op1 (e11) (e13)) = (e13))/\(((~((op1 (e11) (e10)) = (e11)))\/(~((op1 (e11) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e11) (e12)) = (e11)))\/(~((op1 (e11) (e11)) = (e12))))/\((~((op1 (e11) (e13)) = (e11)))\/(~((op1 (e11) (e11)) = (e13)))))))))\/((((op1 (e13) (e12)) = (e13))/\(((op1 (e12) (e13)) = (e13))/\(((~((op1 (e12) (e10)) = (e12)))\/(~((op1 (e12) (e12)) = (e10))))/\(((~((op1 (e12) (e11)) = (e12)))\/(~((op1 (e12) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13)))))))))\/(((op1 (e13) (e13)) = (e13))/\(((op1 (e13) (e13)) = (e13))/\(((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e13) (e13)) = (e10))))/\(((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11))))/\(((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e13) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13)))))))))))))))))))))))) -> ((e10) = (op1 (e11) (e11))) -> (~((h2 (op1 (e10) (e11))) = (op2 (h2 (e10)) (h2 (e11))))) -> ((h2 (e11)) = (e21)) -> ((e20) = (op2 (e21) (e21))) -> ((h2 (e10)) = (op2 (e21) (e21))) -> (~((op2 (e21) (e21)) = (e21))) -> (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> (~((e21) = (e22))) -> ((e23) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((e22) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> (((op2 (e20) (e21)) = (e20))\/(((op2 (e20) (e21)) = (e21))\/(((op2 (e20) (e21)) = (e22))\/((op2 (e20) (e21)) = (e23))))) -> (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (((op1 (e10) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e12) (e11)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e12) (e13)) = (e10))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> ((((op1 (e10) (op1 (e10) (e10))) = (e10))/\(((op1 (e10) (op1 (e10) (e11))) = (e11))/\(((op1 (e10) (op1 (e10) (e12))) = (e12))/\(((op1 (e10) (op1 (e10) (e13))) = (e13))/\(((~((op1 (e10) (e10)) = (e10)))\/((op1 (e10) (e10)) = (e10)))/\(((~((op1 (e11) (e11)) = (e10)))\/((op1 (e11) (e10)) = (e11)))/\(((~((op1 (e12) (e12)) = (e10)))\/((op1 (e12) (e10)) = (e12)))/\((~((op1 (e13) (e13)) = (e10)))\/((op1 (e13) (e10)) = (e13))))))))))\/((((op1 (e11) (op1 (e11) (e10))) = (e10))/\(((op1 (e11) (op1 (e11) (e11))) = (e11))/\(((op1 (e11) (op1 (e11) (e12))) = (e12))/\(((op1 (e11) (op1 (e11) (e13))) = (e13))/\(((~((op1 (e10) (e10)) = (e11)))\/((op1 (e10) (e11)) = (e10)))/\(((~((op1 (e11) (e11)) = (e11)))\/((op1 (e11) (e11)) = (e11)))/\(((~((op1 (e12) (e12)) = (e11)))\/((op1 (e12) (e11)) = (e12)))/\((~((op1 (e13) (e13)) = (e11)))\/((op1 (e13) (e11)) = (e13))))))))))\/((((op1 (e12) (op1 (e12) (e10))) = (e10))/\(((op1 (e12) (op1 (e12) (e11))) = (e11))/\(((op1 (e12) (op1 (e12) (e12))) = (e12))/\(((op1 (e12) (op1 (e12) (e13))) = (e13))/\(((~((op1 (e10) (e10)) = (e12)))\/((op1 (e10) (e12)) = (e10)))/\(((~((op1 (e11) (e11)) = (e12)))\/((op1 (e11) (e12)) = (e11)))/\(((~((op1 (e12) (e12)) = (e12)))\/((op1 (e12) (e12)) = (e12)))/\((~((op1 (e13) (e13)) = (e12)))\/((op1 (e13) (e12)) = (e13))))))))))\/(((op1 (e13) (op1 (e13) (e10))) = (e10))/\(((op1 (e13) (op1 (e13) (e11))) = (e11))/\(((op1 (e13) (op1 (e13) (e12))) = (e12))/\(((op1 (e13) (op1 (e13) (e13))) = (e13))/\(((~((op1 (e10) (e10)) = (e13)))\/((op1 (e10) (e13)) = (e10)))/\(((~((op1 (e11) (e11)) = (e13)))\/((op1 (e11) (e13)) = (e11)))/\(((~((op1 (e12) (e12)) = (e13)))\/((op1 (e12) (e13)) = (e12)))/\((~((op1 (e13) (e13)) = (e13)))\/((op1 (e13) (e13)) = (e13))))))))))))) -> ((op2 (e22) (e21)) = (e22)) -> False).
% 54.73/54.90 do 0 intro. intros zenon_H77 zenon_H37d zenon_H100 zenon_H15f zenon_H15a zenon_H15 zenon_H155 zenon_H154 zenon_H14b zenon_H186 zenon_H180 zenon_H179 zenon_H172 zenon_H16c zenon_H18a zenon_H18e zenon_H192 zenon_H246 zenon_H19d zenon_H1a0 zenon_H25 zenon_H1e zenon_H17 zenon_H1a9 zenon_H209 zenon_H206 zenon_H204 zenon_H1fd zenon_H1fa zenon_H1f7 zenon_H1f4 zenon_H1ed zenon_H1e8 zenon_H1da zenon_H1d8 zenon_H1cc zenon_H1de zenon_H1b1 zenon_H1be zenon_H20c zenon_H21a zenon_H236 zenon_H23b zenon_H245 zenon_H13 zenon_H26f zenon_H270 zenon_H33 zenon_H26c zenon_H28d zenon_Hf1 zenon_H27e zenon_H3b zenon_H3f zenon_Hb0 zenon_H8d zenon_H282 zenon_H286 zenon_H93 zenon_H289 zenon_H28c zenon_H2a3 zenon_H2a5 zenon_H2ad zenon_H2b1 zenon_H2b9 zenon_H2c0 zenon_H2c2 zenon_H32b zenon_H32e zenon_H2fd zenon_H2fb zenon_H2f6 zenon_H2f8 zenon_H328 zenon_H325 zenon_H322 zenon_H321 zenon_H301 zenon_H30b zenon_H30e zenon_H313 zenon_H316 zenon_H2ea zenon_H2e2 zenon_H2e6 zenon_H2e7 zenon_H2d9 zenon_H2c9 zenon_H2d1 zenon_H35d zenon_H360 zenon_H345 zenon_H355 zenon_H358 zenon_H36e zenon_Hd3.
% 54.73/54.90 apply (zenon_and_s _ _ zenon_H77). zenon_intro zenon_H57. zenon_intro zenon_H78.
% 54.73/54.90 apply (zenon_and_s _ _ zenon_H78). zenon_intro zenon_H121. zenon_intro zenon_Hda.
% 54.73/54.90 apply (zenon_and_s _ _ zenon_Hda). zenon_intro zenon_Hdc. zenon_intro zenon_Hdb.
% 54.73/54.90 apply (zenon_and_s _ _ zenon_Hdb). zenon_intro zenon_Hde. zenon_intro zenon_Hdd.
% 54.73/54.90 apply (zenon_and_s _ _ zenon_Hdd). zenon_intro zenon_Hd5. zenon_intro zenon_Hdf.
% 54.73/54.90 apply (zenon_or_s _ _ zenon_Hde); [ zenon_intro zenon_Hf2 | zenon_intro zenon_H101 ].
% 54.73/54.90 exact (zenon_Hf2 zenon_Hd3).
% 54.73/54.90 apply (zenon_or_s _ _ zenon_Hd5); [ zenon_intro zenon_Hd7 | zenon_intro zenon_Hd7 ].
% 54.73/54.90 apply (zenon_L333_); trivial.
% 54.73/54.90 apply (zenon_L333_); trivial.
% 54.73/54.90 (* end of lemma zenon_L334_ *)
% 54.73/54.90 assert (zenon_L335_ : ((e23) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((op2 (e23) (e20)) = (e23)) -> ((e20) = (op2 (e21) (e21))) -> (~((op2 (e20) (e20)) = (op2 (e23) (e20)))) -> False).
% 54.73/54.90 do 0 intro. intros zenon_H3b zenon_He5 zenon_H33 zenon_H55.
% 54.73/54.90 elim (classic ((op2 (e23) (e20)) = (op2 (e23) (e20)))); [ zenon_intro zenon_H3a2 | zenon_intro zenon_H83 ].
% 54.73/54.90 cut (((op2 (e23) (e20)) = (op2 (e23) (e20))) = ((op2 (e20) (e20)) = (op2 (e23) (e20)))).
% 54.73/54.90 intro zenon_D_pnotp.
% 54.73/54.90 apply zenon_H55.
% 54.73/54.90 rewrite <- zenon_D_pnotp.
% 54.73/54.90 exact zenon_H3a2.
% 54.73/54.90 cut (((op2 (e23) (e20)) = (op2 (e23) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H83].
% 54.73/54.90 cut (((op2 (e23) (e20)) = (op2 (e20) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H3a3].
% 54.73/54.90 congruence.
% 54.73/54.90 cut (((e23) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) = ((op2 (e23) (e20)) = (op2 (e20) (e20)))).
% 54.73/54.90 intro zenon_D_pnotp.
% 54.73/54.90 apply zenon_H3a3.
% 54.73/54.90 rewrite <- zenon_D_pnotp.
% 54.73/54.90 exact zenon_H3b.
% 54.73/54.90 cut (((op2 (op2 (e21) (e21)) (op2 (e21) (e21))) = (op2 (e20) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H43].
% 54.73/54.90 cut (((e23) = (op2 (e23) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H3a4].
% 54.73/54.90 congruence.
% 54.73/54.90 elim (classic ((op2 (e23) (e20)) = (op2 (e23) (e20)))); [ zenon_intro zenon_H3a2 | zenon_intro zenon_H83 ].
% 54.73/54.90 cut (((op2 (e23) (e20)) = (op2 (e23) (e20))) = ((e23) = (op2 (e23) (e20)))).
% 54.73/54.90 intro zenon_D_pnotp.
% 54.73/54.90 apply zenon_H3a4.
% 54.73/54.90 rewrite <- zenon_D_pnotp.
% 54.73/54.90 exact zenon_H3a2.
% 54.73/54.90 cut (((op2 (e23) (e20)) = (op2 (e23) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H83].
% 54.73/54.90 cut (((op2 (e23) (e20)) = (e23))); [idtac | apply NNPP; zenon_intro zenon_H3a5].
% 54.73/54.90 congruence.
% 54.73/54.90 exact (zenon_H3a5 zenon_He5).
% 54.73/54.90 apply zenon_H83. apply refl_equal.
% 54.73/54.90 apply zenon_H83. apply refl_equal.
% 54.73/54.90 apply (zenon_L9_); trivial.
% 54.73/54.90 apply zenon_H83. apply refl_equal.
% 54.73/54.90 apply zenon_H83. apply refl_equal.
% 54.73/54.90 (* end of lemma zenon_L335_ *)
% 54.73/54.90 assert (zenon_L336_ : (~((op2 (op2 (e21) (e21)) (op2 (e21) (e21))) = (op2 (e20) (e21)))) -> ((op2 (e21) (e21)) = (e21)) -> ((e20) = (op2 (e21) (e21))) -> False).
% 54.73/54.90 do 0 intro. intros zenon_H3a6 zenon_Hc3 zenon_H33.
% 54.73/54.90 cut (((op2 (e21) (e21)) = (e21))); [idtac | apply NNPP; zenon_intro zenon_H28d].
% 54.73/54.90 cut (((op2 (e21) (e21)) = (e20))); [idtac | apply NNPP; zenon_intro zenon_H3c].
% 54.73/54.90 congruence.
% 54.73/54.90 apply zenon_H3c. apply sym_equal. exact zenon_H33.
% 54.73/54.90 exact (zenon_H28d zenon_Hc3).
% 54.73/54.90 (* end of lemma zenon_L336_ *)
% 54.73/54.90 assert (zenon_L337_ : ((e23) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((op2 (e23) (e21)) = (e23)) -> ((op2 (e21) (e21)) = (e21)) -> ((e20) = (op2 (e21) (e21))) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> False).
% 54.73/54.90 do 0 intro. intros zenon_H3b zenon_He8 zenon_Hc3 zenon_H33 zenon_H282.
% 54.73/54.90 elim (classic ((op2 (e23) (e21)) = (op2 (e23) (e21)))); [ zenon_intro zenon_H61 | zenon_intro zenon_H62 ].
% 54.73/54.90 cut (((op2 (e23) (e21)) = (op2 (e23) (e21))) = ((op2 (e20) (e21)) = (op2 (e23) (e21)))).
% 54.73/54.90 intro zenon_D_pnotp.
% 54.73/54.90 apply zenon_H282.
% 54.73/54.90 rewrite <- zenon_D_pnotp.
% 54.73/54.90 exact zenon_H61.
% 54.73/54.90 cut (((op2 (e23) (e21)) = (op2 (e23) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H62].
% 54.73/54.90 cut (((op2 (e23) (e21)) = (op2 (e20) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H3a7].
% 54.73/54.90 congruence.
% 54.73/54.90 cut (((e23) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) = ((op2 (e23) (e21)) = (op2 (e20) (e21)))).
% 54.73/54.90 intro zenon_D_pnotp.
% 54.73/54.90 apply zenon_H3a7.
% 54.73/54.90 rewrite <- zenon_D_pnotp.
% 54.73/54.90 exact zenon_H3b.
% 54.73/54.90 cut (((op2 (op2 (e21) (e21)) (op2 (e21) (e21))) = (op2 (e20) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H3a6].
% 54.73/54.90 cut (((e23) = (op2 (e23) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H39e].
% 54.73/54.90 congruence.
% 54.73/54.90 elim (classic ((op2 (e23) (e21)) = (op2 (e23) (e21)))); [ zenon_intro zenon_H61 | zenon_intro zenon_H62 ].
% 54.73/54.90 cut (((op2 (e23) (e21)) = (op2 (e23) (e21))) = ((e23) = (op2 (e23) (e21)))).
% 54.73/54.90 intro zenon_D_pnotp.
% 54.73/54.90 apply zenon_H39e.
% 54.73/54.90 rewrite <- zenon_D_pnotp.
% 54.73/54.90 exact zenon_H61.
% 54.73/54.90 cut (((op2 (e23) (e21)) = (op2 (e23) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H62].
% 54.73/54.90 cut (((op2 (e23) (e21)) = (e23))); [idtac | apply NNPP; zenon_intro zenon_H39c].
% 54.73/54.90 congruence.
% 54.73/54.90 exact (zenon_H39c zenon_He8).
% 54.73/54.90 apply zenon_H62. apply refl_equal.
% 54.73/54.90 apply zenon_H62. apply refl_equal.
% 54.73/54.90 apply (zenon_L336_); trivial.
% 54.73/54.90 apply zenon_H62. apply refl_equal.
% 54.73/54.90 apply zenon_H62. apply refl_equal.
% 54.73/54.90 (* end of lemma zenon_L337_ *)
% 54.73/54.90 assert (zenon_L338_ : ((e23) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((op2 (e21) (e23)) = (e23)) -> ((op2 (e21) (e21)) = (e23)) -> ((e20) = (op2 (e21) (e21))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> False).
% 54.73/54.90 do 0 intro. intros zenon_H3b zenon_He9 zenon_H388 zenon_H33 zenon_H3a8.
% 54.73/54.90 elim (classic ((op2 (e21) (e23)) = (op2 (e21) (e23)))); [ zenon_intro zenon_H397 | zenon_intro zenon_H398 ].
% 54.73/54.90 cut (((op2 (e21) (e23)) = (op2 (e21) (e23))) = ((op2 (e20) (e23)) = (op2 (e21) (e23)))).
% 54.73/54.90 intro zenon_D_pnotp.
% 54.73/54.90 apply zenon_H3a8.
% 54.73/54.90 rewrite <- zenon_D_pnotp.
% 54.73/54.90 exact zenon_H397.
% 54.73/54.90 cut (((op2 (e21) (e23)) = (op2 (e21) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H398].
% 54.73/54.90 cut (((op2 (e21) (e23)) = (op2 (e20) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H3a9].
% 54.73/54.90 congruence.
% 54.73/54.90 cut (((e23) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) = ((op2 (e21) (e23)) = (op2 (e20) (e23)))).
% 54.73/54.90 intro zenon_D_pnotp.
% 54.73/54.90 apply zenon_H3a9.
% 54.73/54.90 rewrite <- zenon_D_pnotp.
% 54.73/54.90 exact zenon_H3b.
% 54.73/54.90 cut (((op2 (op2 (e21) (e21)) (op2 (e21) (e21))) = (op2 (e20) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H387].
% 54.73/54.90 cut (((e23) = (op2 (e21) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H393].
% 54.73/54.90 congruence.
% 54.73/54.90 elim (classic ((op2 (e21) (e23)) = (op2 (e21) (e23)))); [ zenon_intro zenon_H397 | zenon_intro zenon_H398 ].
% 54.73/54.90 cut (((op2 (e21) (e23)) = (op2 (e21) (e23))) = ((e23) = (op2 (e21) (e23)))).
% 54.73/54.90 intro zenon_D_pnotp.
% 54.73/54.90 apply zenon_H393.
% 54.73/54.90 rewrite <- zenon_D_pnotp.
% 54.73/54.90 exact zenon_H397.
% 54.73/54.90 cut (((op2 (e21) (e23)) = (op2 (e21) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H398].
% 54.73/54.90 cut (((op2 (e21) (e23)) = (e23))); [idtac | apply NNPP; zenon_intro zenon_H3aa].
% 54.73/54.90 congruence.
% 54.73/54.90 exact (zenon_H3aa zenon_He9).
% 54.73/54.90 apply zenon_H398. apply refl_equal.
% 54.73/54.90 apply zenon_H398. apply refl_equal.
% 54.73/54.90 apply (zenon_L322_); trivial.
% 54.73/54.90 apply zenon_H398. apply refl_equal.
% 54.73/54.90 apply zenon_H398. apply refl_equal.
% 54.73/54.90 (* end of lemma zenon_L338_ *)
% 54.73/54.90 assert (zenon_L339_ : ((e20) = (op2 (e21) (e21))) -> ((op2 (e23) (e21)) = (e20)) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> False).
% 54.73/54.90 do 0 intro. intros zenon_H33 zenon_H3ab zenon_H39d.
% 54.73/54.90 elim (classic ((op2 (e23) (e21)) = (op2 (e23) (e21)))); [ zenon_intro zenon_H61 | zenon_intro zenon_H62 ].
% 54.73/54.90 cut (((op2 (e23) (e21)) = (op2 (e23) (e21))) = ((op2 (e21) (e21)) = (op2 (e23) (e21)))).
% 54.73/54.90 intro zenon_D_pnotp.
% 54.73/54.90 apply zenon_H39d.
% 54.73/54.90 rewrite <- zenon_D_pnotp.
% 54.73/54.90 exact zenon_H61.
% 54.73/54.90 cut (((op2 (e23) (e21)) = (op2 (e23) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H62].
% 54.73/54.90 cut (((op2 (e23) (e21)) = (op2 (e21) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H3ac].
% 54.73/54.90 congruence.
% 54.73/54.90 cut (((e20) = (op2 (e21) (e21))) = ((op2 (e23) (e21)) = (op2 (e21) (e21)))).
% 54.73/54.90 intro zenon_D_pnotp.
% 54.73/54.90 apply zenon_H3ac.
% 54.73/54.90 rewrite <- zenon_D_pnotp.
% 54.73/54.90 exact zenon_H33.
% 54.73/54.90 cut (((op2 (e21) (e21)) = (op2 (e21) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H35].
% 54.73/54.90 cut (((e20) = (op2 (e23) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H3ad].
% 54.73/54.90 congruence.
% 54.73/54.90 elim (classic ((op2 (e23) (e21)) = (op2 (e23) (e21)))); [ zenon_intro zenon_H61 | zenon_intro zenon_H62 ].
% 54.73/54.90 cut (((op2 (e23) (e21)) = (op2 (e23) (e21))) = ((e20) = (op2 (e23) (e21)))).
% 54.73/54.90 intro zenon_D_pnotp.
% 54.73/54.90 apply zenon_H3ad.
% 54.73/54.90 rewrite <- zenon_D_pnotp.
% 54.73/54.90 exact zenon_H61.
% 54.73/54.90 cut (((op2 (e23) (e21)) = (op2 (e23) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H62].
% 54.73/54.90 cut (((op2 (e23) (e21)) = (e20))); [idtac | apply NNPP; zenon_intro zenon_H3ae].
% 54.73/54.90 congruence.
% 54.73/54.90 exact (zenon_H3ae zenon_H3ab).
% 54.73/54.90 apply zenon_H62. apply refl_equal.
% 54.73/54.90 apply zenon_H62. apply refl_equal.
% 54.73/54.90 apply zenon_H35. apply refl_equal.
% 54.73/54.90 apply zenon_H62. apply refl_equal.
% 54.73/54.90 apply zenon_H62. apply refl_equal.
% 54.73/54.90 (* end of lemma zenon_L339_ *)
% 54.73/54.90 assert (zenon_L340_ : (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> ((op2 (e23) (e21)) = (e23)) -> ((op2 (e23) (e23)) = (e23)) -> False).
% 54.73/54.90 do 0 intro. intros zenon_H3af zenon_He8 zenon_H106.
% 54.73/54.90 cut (((op2 (e23) (e21)) = (e23)) = ((op2 (e23) (e21)) = (op2 (e23) (e23)))).
% 54.73/54.90 intro zenon_D_pnotp.
% 54.73/54.90 apply zenon_H3af.
% 54.73/54.90 rewrite <- zenon_D_pnotp.
% 54.73/54.90 exact zenon_He8.
% 54.73/54.90 cut (((e23) = (op2 (e23) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H3b0].
% 54.73/54.90 cut (((op2 (e23) (e21)) = (op2 (e23) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H62].
% 54.73/54.90 congruence.
% 54.73/54.90 apply zenon_H62. apply refl_equal.
% 54.73/54.90 apply zenon_H3b0. apply sym_equal. exact zenon_H106.
% 54.73/54.90 (* end of lemma zenon_L340_ *)
% 54.73/54.90 assert (zenon_L341_ : (((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e21)) = (e22))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> ((op2 (e22) (e21)) = (e22)) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> (((op2 (e20) (e21)) = (e20))\/(((op2 (e20) (e21)) = (e21))\/(((op2 (e20) (e21)) = (e22))\/((op2 (e20) (e21)) = (e23))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> ((e23) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((e20) = (op2 (e21) (e21))) -> ((e22) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> ((op2 (e23) (e23)) = (e23)) -> False).
% 54.73/54.90 do 0 intro. intros zenon_H3b1 zenon_H39d zenon_H93 zenon_Hd3 zenon_H286 zenon_H282 zenon_H8d zenon_H289 zenon_H60 zenon_H3b zenon_H33 zenon_H3f zenon_H3af zenon_H106.
% 54.73/54.90 apply (zenon_or_s _ _ zenon_H3b1); [ zenon_intro zenon_H3ab | zenon_intro zenon_H3b2 ].
% 54.73/54.90 apply (zenon_L339_); trivial.
% 54.73/54.90 apply (zenon_or_s _ _ zenon_H3b2); [ zenon_intro zenon_H283 | zenon_intro zenon_H3b3 ].
% 54.73/54.90 apply (zenon_L137_); trivial.
% 54.73/54.90 apply (zenon_or_s _ _ zenon_H3b3); [ zenon_intro zenon_H5f | zenon_intro zenon_He8 ].
% 54.73/54.90 apply (zenon_L15_); trivial.
% 54.73/54.90 apply (zenon_L340_); trivial.
% 54.73/54.90 (* end of lemma zenon_L341_ *)
% 54.73/54.90 assert (zenon_L342_ : (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> ((op2 (e21) (e21)) = (e23)) -> ((op2 (e21) (op2 (e21) (e23))) = (e23)) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> ((op2 (e23) (e22)) = (e23)) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (((op2 (e21) (e20)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/((op2 (e21) (e23)) = (e23))))) -> (((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e21)) = (e22))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> ((op2 (e22) (e21)) = (e22)) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> (((op2 (e20) (e21)) = (e20))\/(((op2 (e20) (e21)) = (e21))\/(((op2 (e20) (e21)) = (e22))\/((op2 (e20) (e21)) = (e23))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> ((e23) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((e20) = (op2 (e21) (e21))) -> ((e22) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> False).
% 54.73/54.90 do 0 intro. intros zenon_H3b4 zenon_H9f zenon_H3a8 zenon_H388 zenon_H395 zenon_H394 zenon_Hfb zenon_H38f zenon_H116 zenon_H45 zenon_H399 zenon_H3b1 zenon_H39d zenon_H93 zenon_Hd3 zenon_H286 zenon_H282 zenon_H8d zenon_H289 zenon_H60 zenon_H3b zenon_H33 zenon_H3f zenon_H3af.
% 54.73/54.90 apply (zenon_or_s _ _ zenon_H3b4); [ zenon_intro zenon_H9e | zenon_intro zenon_H3b5 ].
% 54.73/54.90 apply (zenon_L27_); trivial.
% 54.73/54.90 apply (zenon_or_s _ _ zenon_H3b5); [ zenon_intro zenon_He9 | zenon_intro zenon_H3b6 ].
% 54.73/54.90 apply (zenon_L338_); trivial.
% 54.73/54.90 apply (zenon_or_s _ _ zenon_H3b6); [ zenon_intro zenon_Heb | zenon_intro zenon_H106 ].
% 54.73/54.90 apply (zenon_L327_); trivial.
% 54.73/54.90 apply (zenon_L341_); trivial.
% 54.73/54.90 (* end of lemma zenon_L342_ *)
% 54.73/54.90 assert (zenon_L343_ : (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e23) (e20)))) -> ((op2 (e21) (e21)) = (e21)) -> (((op2 (e21) (e20)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/((op2 (e21) (e23)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> ((op2 (e21) (op2 (e21) (e23))) = (e23)) -> ((op2 (e21) (e21)) = (e23)) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e21)) = (e22))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> ((op2 (e22) (e21)) = (e22)) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> (((op2 (e20) (e21)) = (e20))\/(((op2 (e20) (e21)) = (e21))\/(((op2 (e20) (e21)) = (e22))\/((op2 (e20) (e21)) = (e23))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> ((e23) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((e20) = (op2 (e21) (e21))) -> ((e22) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> False).
% 54.73/54.90 do 0 intro. intros zenon_H3b7 zenon_H55 zenon_Hc3 zenon_H399 zenon_H45 zenon_H116 zenon_H38f zenon_H394 zenon_H395 zenon_H388 zenon_H3a8 zenon_H9f zenon_H3b4 zenon_H3b1 zenon_H39d zenon_H93 zenon_Hd3 zenon_H286 zenon_H282 zenon_H8d zenon_H289 zenon_H60 zenon_H3b zenon_H33 zenon_H3f zenon_H3af.
% 54.73/54.90 apply (zenon_or_s _ _ zenon_H3b7); [ zenon_intro zenon_He5 | zenon_intro zenon_H3b8 ].
% 54.73/54.90 apply (zenon_L335_); trivial.
% 54.73/54.90 apply (zenon_or_s _ _ zenon_H3b8); [ zenon_intro zenon_He8 | zenon_intro zenon_H3b9 ].
% 54.73/54.90 apply (zenon_L337_); trivial.
% 54.73/54.90 apply (zenon_or_s _ _ zenon_H3b9); [ zenon_intro zenon_Hfb | zenon_intro zenon_H106 ].
% 54.73/54.90 apply (zenon_L342_); trivial.
% 54.73/54.90 apply (zenon_L341_); trivial.
% 54.73/54.90 (* end of lemma zenon_L343_ *)
% 54.73/54.90 assert (zenon_L344_ : (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> ((e22) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> ((e20) = (op2 (e21) (e21))) -> ((e23) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (((op2 (e20) (e21)) = (e20))\/(((op2 (e20) (e21)) = (e21))\/(((op2 (e20) (e21)) = (e22))\/((op2 (e20) (e21)) = (e23))))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> (((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e21)) = (e22))\/((op2 (e23) (e21)) = (e23))))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> ((op2 (e21) (e21)) = (e23)) -> ((op2 (e21) (op2 (e21) (e23))) = (e23)) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (((op2 (e21) (e20)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/((op2 (e21) (e23)) = (e23))))) -> ((op2 (e21) (e21)) = (e21)) -> (~((op2 (e20) (e20)) = (op2 (e23) (e20)))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e22) (e22)) = (e22))) -> (~((op2 (e22) (e23)) = (e22))) -> False).
% 54.73/54.90 do 0 intro. intros zenon_Hf1 zenon_Hb0 zenon_H3af zenon_H3f zenon_H33 zenon_H3b zenon_H60 zenon_H289 zenon_H8d zenon_H282 zenon_H286 zenon_H93 zenon_H39d zenon_H3b1 zenon_H3b4 zenon_H9f zenon_H3a8 zenon_H388 zenon_H395 zenon_H394 zenon_H38f zenon_H116 zenon_H45 zenon_H399 zenon_Hc3 zenon_H55 zenon_H3b7 zenon_Hd7 zenon_H281.
% 54.73/54.90 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_Hb1 | zenon_intro zenon_Hf3 ].
% 54.73/54.90 apply (zenon_L30_); trivial.
% 54.73/54.90 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_Hd3 | zenon_intro zenon_Hf4 ].
% 54.73/54.90 apply (zenon_L343_); trivial.
% 54.73/54.90 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_Hd6 | zenon_intro zenon_He2 ].
% 54.73/54.90 exact (zenon_Hd7 zenon_Hd6).
% 54.73/54.90 exact (zenon_H281 zenon_He2).
% 54.73/54.90 (* end of lemma zenon_L344_ *)
% 54.73/54.90 assert (zenon_L345_ : ((e23) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((op2 (e22) (e21)) = (e23)) -> ((op2 (e21) (e21)) = (e21)) -> ((e20) = (op2 (e21) (e21))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> False).
% 54.73/54.90 do 0 intro. intros zenon_H3b zenon_H3ba zenon_Hc3 zenon_H33 zenon_H286.
% 54.73/54.90 elim (classic ((op2 (e22) (e21)) = (op2 (e22) (e21)))); [ zenon_intro zenon_H111 | zenon_intro zenon_H112 ].
% 54.73/54.90 cut (((op2 (e22) (e21)) = (op2 (e22) (e21))) = ((op2 (e20) (e21)) = (op2 (e22) (e21)))).
% 54.73/54.90 intro zenon_D_pnotp.
% 54.73/54.90 apply zenon_H286.
% 54.73/54.90 rewrite <- zenon_D_pnotp.
% 54.73/54.90 exact zenon_H111.
% 54.73/54.90 cut (((op2 (e22) (e21)) = (op2 (e22) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H112].
% 54.73/54.90 cut (((op2 (e22) (e21)) = (op2 (e20) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H287].
% 54.73/54.90 congruence.
% 54.73/54.90 cut (((e23) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) = ((op2 (e22) (e21)) = (op2 (e20) (e21)))).
% 54.73/54.90 intro zenon_D_pnotp.
% 54.73/54.90 apply zenon_H287.
% 54.73/54.90 rewrite <- zenon_D_pnotp.
% 54.73/54.90 exact zenon_H3b.
% 54.73/54.90 cut (((op2 (op2 (e21) (e21)) (op2 (e21) (e21))) = (op2 (e20) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H3a6].
% 54.73/54.90 cut (((e23) = (op2 (e22) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H3bb].
% 54.73/54.90 congruence.
% 54.73/54.90 elim (classic ((op2 (e22) (e21)) = (op2 (e22) (e21)))); [ zenon_intro zenon_H111 | zenon_intro zenon_H112 ].
% 54.73/54.90 cut (((op2 (e22) (e21)) = (op2 (e22) (e21))) = ((e23) = (op2 (e22) (e21)))).
% 54.73/54.90 intro zenon_D_pnotp.
% 54.73/54.90 apply zenon_H3bb.
% 54.73/54.90 rewrite <- zenon_D_pnotp.
% 54.73/54.90 exact zenon_H111.
% 54.73/54.90 cut (((op2 (e22) (e21)) = (op2 (e22) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H112].
% 54.73/54.90 cut (((op2 (e22) (e21)) = (e23))); [idtac | apply NNPP; zenon_intro zenon_H3bc].
% 54.73/54.90 congruence.
% 54.73/54.90 exact (zenon_H3bc zenon_H3ba).
% 54.73/54.90 apply zenon_H112. apply refl_equal.
% 54.73/54.90 apply zenon_H112. apply refl_equal.
% 54.73/54.90 apply (zenon_L336_); trivial.
% 54.73/54.90 apply zenon_H112. apply refl_equal.
% 54.73/54.90 apply zenon_H112. apply refl_equal.
% 54.73/54.90 (* end of lemma zenon_L345_ *)
% 54.73/54.90 assert (zenon_L346_ : (((op2 (e20) (e21)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e22) (e23)) = (e22))) -> (~((op2 (e22) (e22)) = (e22))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e23) (e20)))) -> (((op2 (e21) (e20)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/((op2 (e21) (e23)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> ((op2 (e21) (op2 (e21) (e23))) = (e23)) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e21)) = (e22))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> (((op2 (e20) (e21)) = (e20))\/(((op2 (e20) (e21)) = (e21))\/(((op2 (e20) (e21)) = (e22))\/((op2 (e20) (e21)) = (e23))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> ((e22) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> ((e23) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((op2 (e21) (e21)) = (e21)) -> ((e20) = (op2 (e21) (e21))) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> False).
% 54.73/54.90 do 0 intro. intros zenon_H3bd zenon_H281 zenon_Hd7 zenon_H3b7 zenon_H55 zenon_H399 zenon_H45 zenon_H116 zenon_H38f zenon_H394 zenon_H395 zenon_H3a8 zenon_H9f zenon_H3b4 zenon_H3b1 zenon_H39d zenon_H93 zenon_H8d zenon_H289 zenon_H60 zenon_H3f zenon_H3af zenon_Hb0 zenon_Hf1 zenon_H286 zenon_H3b zenon_Hc3 zenon_H33 zenon_H282.
% 54.73/54.90 apply (zenon_or_s _ _ zenon_H3bd); [ zenon_intro zenon_H92 | zenon_intro zenon_H3be ].
% 54.73/54.90 apply (zenon_L25_); trivial.
% 54.73/54.90 apply (zenon_or_s _ _ zenon_H3be); [ zenon_intro zenon_H388 | zenon_intro zenon_H3bf ].
% 54.73/54.90 apply (zenon_L344_); trivial.
% 54.73/54.90 apply (zenon_or_s _ _ zenon_H3bf); [ zenon_intro zenon_H3ba | zenon_intro zenon_He8 ].
% 54.73/54.90 apply (zenon_L345_); trivial.
% 54.73/54.90 apply (zenon_L337_); trivial.
% 54.73/54.90 (* end of lemma zenon_L346_ *)
% 54.73/54.90 assert (zenon_L347_ : ((~((op2 (e22) (e23)) = (e22)))\/(~((op2 (e22) (e22)) = (e23)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> ((op2 (e22) (e20)) = (e20)) -> (~((op2 (e22) (e22)) = (e21))) -> (((op2 (e22) (e22)) = (e20))\/(((op2 (e22) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e22)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> ((e23) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((e20) = (op2 (e21) (e21))) -> (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> (~((op2 (e22) (e22)) = (e22))) -> (~((op2 (e20) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> ((op2 (e21) (e21)) = (e21)) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> (((op2 (e20) (e21)) = (e20))\/(((op2 (e20) (e21)) = (e21))\/(((op2 (e20) (e21)) = (e22))\/((op2 (e20) (e21)) = (e23))))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e21)) = (e22))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> ((op2 (e21) (op2 (e21) (e23))) = (e23)) -> (((op2 (e21) (e20)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/((op2 (e21) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> ((e22) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> (((op2 (e20) (e21)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/((op2 (e23) (e21)) = (e23))))) -> False).
% 54.73/54.90 do 0 intro. intros zenon_Hdf zenon_H37d zenon_H121 zenon_H101 zenon_H100 zenon_H93 zenon_H3b zenon_H33 zenon_Hf1 zenon_Hd7 zenon_H55 zenon_H282 zenon_Hc3 zenon_H3b4 zenon_H39d zenon_H289 zenon_H286 zenon_H8d zenon_H60 zenon_H3af zenon_H3b1 zenon_H45 zenon_H116 zenon_H38f zenon_H394 zenon_H395 zenon_H399 zenon_H3a8 zenon_H9f zenon_H3b7 zenon_H3f zenon_Hb0 zenon_H3bd.
% 54.73/54.90 apply (zenon_or_s _ _ zenon_Hdf); [ zenon_intro zenon_H281 | zenon_intro zenon_H37f ].
% 54.73/54.90 apply (zenon_L346_); trivial.
% 54.73/54.90 apply (zenon_L310_); trivial.
% 54.73/54.90 (* end of lemma zenon_L347_ *)
% 54.73/54.90 assert (zenon_L348_ : (((op2 (e20) (e21)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> ((op2 (e21) (e23)) = (e23)) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> ((e23) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((op2 (e21) (e21)) = (e21)) -> ((e20) = (op2 (e21) (e21))) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> False).
% 54.73/54.90 do 0 intro. intros zenon_H3bd zenon_H93 zenon_H3a8 zenon_He9 zenon_H286 zenon_H3b zenon_Hc3 zenon_H33 zenon_H282.
% 54.73/54.90 apply (zenon_or_s _ _ zenon_H3bd); [ zenon_intro zenon_H92 | zenon_intro zenon_H3be ].
% 54.73/54.90 apply (zenon_L25_); trivial.
% 54.73/54.90 apply (zenon_or_s _ _ zenon_H3be); [ zenon_intro zenon_H388 | zenon_intro zenon_H3bf ].
% 54.73/54.90 apply (zenon_L338_); trivial.
% 54.73/54.90 apply (zenon_or_s _ _ zenon_H3bf); [ zenon_intro zenon_H3ba | zenon_intro zenon_He8 ].
% 54.73/54.90 apply (zenon_L345_); trivial.
% 54.73/54.90 apply (zenon_L337_); trivial.
% 54.73/54.90 (* end of lemma zenon_L348_ *)
% 54.73/54.90 assert (zenon_L349_ : (((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e21)) = (e22))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> ((op2 (e20) (e21)) = (e21)) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> ((e23) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((e20) = (op2 (e21) (e21))) -> ((e22) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> ((op2 (e23) (e23)) = (e23)) -> False).
% 54.73/54.90 do 0 intro. intros zenon_H3b1 zenon_H39d zenon_Hb9 zenon_H282 zenon_H60 zenon_H3b zenon_H33 zenon_H3f zenon_H3af zenon_H106.
% 54.73/54.90 apply (zenon_or_s _ _ zenon_H3b1); [ zenon_intro zenon_H3ab | zenon_intro zenon_H3b2 ].
% 54.73/54.90 apply (zenon_L339_); trivial.
% 54.73/54.90 apply (zenon_or_s _ _ zenon_H3b2); [ zenon_intro zenon_H283 | zenon_intro zenon_H3b3 ].
% 54.73/54.90 apply (zenon_L135_); trivial.
% 54.73/54.90 apply (zenon_or_s _ _ zenon_H3b3); [ zenon_intro zenon_H5f | zenon_intro zenon_He8 ].
% 54.73/54.90 apply (zenon_L15_); trivial.
% 54.73/54.90 apply (zenon_L340_); trivial.
% 54.73/54.90 (* end of lemma zenon_L349_ *)
% 54.73/54.90 assert (zenon_L350_ : ((op2 (e22) (e21)) = (e22)) -> ((op2 (e22) (e21)) = (e23)) -> (~((e22) = (e23))) -> False).
% 54.73/54.90 do 0 intro. intros zenon_Hd3 zenon_H3ba zenon_Hec.
% 54.73/54.90 elim (classic ((e23) = (e23))); [ zenon_intro zenon_Hed | zenon_intro zenon_Hee ].
% 54.73/54.90 cut (((e23) = (e23)) = ((e22) = (e23))).
% 54.73/54.90 intro zenon_D_pnotp.
% 54.73/54.90 apply zenon_Hec.
% 54.73/54.90 rewrite <- zenon_D_pnotp.
% 54.73/54.90 exact zenon_Hed.
% 54.73/54.90 cut (((e23) = (e23))); [idtac | apply NNPP; zenon_intro zenon_Hee].
% 54.73/54.90 cut (((e23) = (e22))); [idtac | apply NNPP; zenon_intro zenon_Hef].
% 54.73/54.90 congruence.
% 54.73/54.90 cut (((op2 (e22) (e21)) = (e22)) = ((e23) = (e22))).
% 54.73/54.90 intro zenon_D_pnotp.
% 54.73/54.90 apply zenon_Hef.
% 54.73/54.90 rewrite <- zenon_D_pnotp.
% 54.73/54.90 exact zenon_Hd3.
% 54.73/54.90 cut (((e22) = (e22))); [idtac | apply NNPP; zenon_intro zenon_Hea].
% 54.73/54.90 cut (((op2 (e22) (e21)) = (e23))); [idtac | apply NNPP; zenon_intro zenon_H3bc].
% 54.73/54.90 congruence.
% 54.73/54.90 exact (zenon_H3bc zenon_H3ba).
% 54.73/54.90 apply zenon_Hea. apply refl_equal.
% 54.73/54.90 apply zenon_Hee. apply refl_equal.
% 54.73/54.90 apply zenon_Hee. apply refl_equal.
% 54.73/54.90 (* end of lemma zenon_L350_ *)
% 54.73/54.90 assert (zenon_L351_ : ((~((op2 (e22) (e22)) = (e21)))\/((op2 (e22) (e21)) = (e22))) -> (~((e22) = (e23))) -> ((((op2 (e20) (e20)) = (e20))/\(((op2 (e20) (e20)) = (e20))/\(((~((op2 (e20) (e20)) = (e20)))\/(~((op2 (e20) (e20)) = (e20))))/\(((~((op2 (e20) (e21)) = (e20)))\/(~((op2 (e20) (e20)) = (e21))))/\(((~((op2 (e20) (e22)) = (e20)))\/(~((op2 (e20) (e20)) = (e22))))/\((~((op2 (e20) (e23)) = (e20)))\/(~((op2 (e20) (e20)) = (e23)))))))))\/((((op2 (e20) (e21)) = (e20))/\(((op2 (e21) (e20)) = (e20))/\(((~((op2 (e21) (e20)) = (e21)))\/(~((op2 (e21) (e21)) = (e20))))/\(((~((op2 (e21) (e21)) = (e21)))\/(~((op2 (e21) (e21)) = (e21))))/\(((~((op2 (e21) (e22)) = (e21)))\/(~((op2 (e21) (e21)) = (e22))))/\((~((op2 (e21) (e23)) = (e21)))\/(~((op2 (e21) (e21)) = (e23)))))))))\/((((op2 (e20) (e22)) = (e20))/\(((op2 (e22) (e20)) = (e20))/\(((~((op2 (e22) (e20)) = (e22)))\/(~((op2 (e22) (e22)) = (e20))))/\(((~((op2 (e22) (e21)) = (e22)))\/(~((op2 (e22) (e22)) = (e21))))/\(((~((op2 (e22) (e22)) = (e22)))\/(~((op2 (e22) (e22)) = (e22))))/\((~((op2 (e22) (e23)) = (e22)))\/(~((op2 (e22) (e22)) = (e23)))))))))\/((((op2 (e20) (e23)) = (e20))/\(((op2 (e23) (e20)) = (e20))/\(((~((op2 (e23) (e20)) = (e23)))\/(~((op2 (e23) (e23)) = (e20))))/\(((~((op2 (e23) (e21)) = (e23)))\/(~((op2 (e23) (e23)) = (e21))))/\(((~((op2 (e23) (e22)) = (e23)))\/(~((op2 (e23) (e23)) = (e22))))/\((~((op2 (e23) (e23)) = (e23)))\/(~((op2 (e23) (e23)) = (e23)))))))))\/((((op2 (e21) (e20)) = (e21))/\(((op2 (e20) (e21)) = (e21))/\(((~((op2 (e20) (e20)) = (e20)))\/(~((op2 (e20) (e20)) = (e20))))/\(((~((op2 (e20) (e21)) = (e20)))\/(~((op2 (e20) (e20)) = (e21))))/\(((~((op2 (e20) (e22)) = (e20)))\/(~((op2 (e20) (e20)) = (e22))))/\((~((op2 (e20) (e23)) = (e20)))\/(~((op2 (e20) (e20)) = (e23)))))))))\/((((op2 (e21) (e21)) = (e21))/\(((op2 (e21) (e21)) = (e21))/\(((~((op2 (e21) (e20)) = (e21)))\/(~((op2 (e21) (e21)) = (e20))))/\(((~((op2 (e21) (e21)) = (e21)))\/(~((op2 (e21) (e21)) = (e21))))/\(((~((op2 (e21) (e22)) = (e21)))\/(~((op2 (e21) (e21)) = (e22))))/\((~((op2 (e21) (e23)) = (e21)))\/(~((op2 (e21) (e21)) = (e23)))))))))\/((((op2 (e21) (e22)) = (e21))/\(((op2 (e22) (e21)) = (e21))/\(((~((op2 (e22) (e20)) = (e22)))\/(~((op2 (e22) (e22)) = (e20))))/\(((~((op2 (e22) (e21)) = (e22)))\/(~((op2 (e22) (e22)) = (e21))))/\(((~((op2 (e22) (e22)) = (e22)))\/(~((op2 (e22) (e22)) = (e22))))/\((~((op2 (e22) (e23)) = (e22)))\/(~((op2 (e22) (e22)) = (e23)))))))))\/((((op2 (e21) (e23)) = (e21))/\(((op2 (e23) (e21)) = (e21))/\(((~((op2 (e23) (e20)) = (e23)))\/(~((op2 (e23) (e23)) = (e20))))/\(((~((op2 (e23) (e21)) = (e23)))\/(~((op2 (e23) (e23)) = (e21))))/\(((~((op2 (e23) (e22)) = (e23)))\/(~((op2 (e23) (e23)) = (e22))))/\((~((op2 (e23) (e23)) = (e23)))\/(~((op2 (e23) (e23)) = (e23)))))))))\/((((op2 (e22) (e20)) = (e22))/\(((op2 (e20) (e22)) = (e22))/\(((~((op2 (e20) (e20)) = (e20)))\/(~((op2 (e20) (e20)) = (e20))))/\(((~((op2 (e20) (e21)) = (e20)))\/(~((op2 (e20) (e20)) = (e21))))/\(((~((op2 (e20) (e22)) = (e20)))\/(~((op2 (e20) (e20)) = (e22))))/\((~((op2 (e20) (e23)) = (e20)))\/(~((op2 (e20) (e20)) = (e23)))))))))\/((((op2 (e22) (e21)) = (e22))/\(((op2 (e21) (e22)) = (e22))/\(((~((op2 (e21) (e20)) = (e21)))\/(~((op2 (e21) (e21)) = (e20))))/\(((~((op2 (e21) (e21)) = (e21)))\/(~((op2 (e21) (e21)) = (e21))))/\(((~((op2 (e21) (e22)) = (e21)))\/(~((op2 (e21) (e21)) = (e22))))/\((~((op2 (e21) (e23)) = (e21)))\/(~((op2 (e21) (e21)) = (e23)))))))))\/((((op2 (e22) (e22)) = (e22))/\(((op2 (e22) (e22)) = (e22))/\(((~((op2 (e22) (e20)) = (e22)))\/(~((op2 (e22) (e22)) = (e20))))/\(((~((op2 (e22) (e21)) = (e22)))\/(~((op2 (e22) (e22)) = (e21))))/\(((~((op2 (e22) (e22)) = (e22)))\/(~((op2 (e22) (e22)) = (e22))))/\((~((op2 (e22) (e23)) = (e22)))\/(~((op2 (e22) (e22)) = (e23)))))))))\/((((op2 (e22) (e23)) = (e22))/\(((op2 (e23) (e22)) = (e22))/\(((~((op2 (e23) (e20)) = (e23)))\/(~((op2 (e23) (e23)) = (e20))))/\(((~((op2 (e23) (e21)) = (e23)))\/(~((op2 (e23) (e23)) = (e21))))/\(((~((op2 (e23) (e22)) = (e23)))\/(~((op2 (e23) (e23)) = (e22))))/\((~((op2 (e23) (e23)) = (e23)))\/(~((op2 (e23) (e23)) = (e23)))))))))\/((((op2 (e23) (e20)) = (e23))/\(((op2 (e20) (e23)) = (e23))/\(((~((op2 (e20) (e20)) = (e20)))\/(~((op2 (e20) (e20)) = (e20))))/\(((~((op2 (e20) (e21)) = (e20)))\/(~((op2 (e20) (e20)) = (e21))))/\(((~((op2 (e20) (e22)) = (e20)))\/(~((op2 (e20) (e20)) = (e22))))/\((~((op2 (e20) (e23)) = (e20)))\/(~((op2 (e20) (e20)) = (e23)))))))))\/((((op2 (e23) (e21)) = (e23))/\(((op2 (e21) (e23)) = (e23))/\(((~((op2 (e21) (e20)) = (e21)))\/(~((op2 (e21) (e21)) = (e20))))/\(((~((op2 (e21) (e21)) = (e21)))\/(~((op2 (e21) (e21)) = (e21))))/\(((~((op2 (e21) (e22)) = (e21)))\/(~((op2 (e21) (e21)) = (e22))))/\((~((op2 (e21) (e23)) = (e21)))\/(~((op2 (e21) (e21)) = (e23)))))))))\/((((op2 (e23) (e22)) = (e23))/\(((op2 (e22) (e23)) = (e23))/\(((~((op2 (e22) (e20)) = (e22)))\/(~((op2 (e22) (e22)) = (e20))))/\(((~((op2 (e22) (e21)) = (e22)))\/(~((op2 (e22) (e22)) = (e21))))/\(((~((op2 (e22) (e22)) = (e22)))\/(~((op2 (e22) (e22)) = (e22))))/\((~((op2 (e22) (e23)) = (e22)))\/(~((op2 (e22) (e22)) = (e23)))))))))\/(((op2 (e23) (e23)) = (e23))/\(((op2 (e23) (e23)) = (e23))/\(((~((op2 (e23) (e20)) = (e23)))\/(~((op2 (e23) (e23)) = (e20))))/\(((~((op2 (e23) (e21)) = (e23)))\/(~((op2 (e23) (e23)) = (e21))))/\(((~((op2 (e23) (e22)) = (e23)))\/(~((op2 (e23) (e23)) = (e22))))/\((~((op2 (e23) (e23)) = (e23)))\/(~((op2 (e23) (e23)) = (e23)))))))))))))))))))))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e23)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (((op2 (e23) (e23)) = (e20))\/(((op2 (e23) (e23)) = (e21))\/(((op2 (e23) (e23)) = (e22))\/((op2 (e23) (e23)) = (e23))))) -> (((op2 (e20) (e21)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (((op2 (e21) (e20)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/((op2 (e21) (e23)) = (e23))))) -> ((op2 (e21) (op2 (e21) (e23))) = (e23)) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e21)) = (e22))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (((op2 (e20) (e21)) = (e20))\/(((op2 (e20) (e21)) = (e21))\/(((op2 (e20) (e21)) = (e22))\/((op2 (e20) (e21)) = (e23))))) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> ((op2 (e21) (e21)) = (e21)) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e20) (e20)) = (op2 (e23) (e20)))) -> (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> (((op2 (e22) (e22)) = (e20))\/(((op2 (e22) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e22)) = (e23))))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> ((e20) = (op2 (e21) (e21))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> ((e22) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> ((e23) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (((op2 (e21) (e20)) = (e20))\/(((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e20)) = (e22))\/((op2 (e21) (e20)) = (e23))))) -> ((~((op2 (e23) (e23)) = (e21)))\/((op2 (e23) (e21)) = (e23))) -> False).
% 54.73/54.90 do 0 intro. intros zenon_H3c0 zenon_Hec zenon_H128 zenon_H67 zenon_Hca zenon_Hc5 zenon_H6e zenon_H382 zenon_H3bd zenon_Hb0 zenon_H3b7 zenon_H9f zenon_H3a8 zenon_H399 zenon_H395 zenon_H394 zenon_H38f zenon_H116 zenon_H3b1 zenon_H3af zenon_H60 zenon_H8d zenon_H286 zenon_H289 zenon_H39d zenon_H3b4 zenon_Hc3 zenon_H282 zenon_H55 zenon_Hf1 zenon_H93 zenon_H100 zenon_H37d zenon_H32 zenon_H33 zenon_H3e zenon_H3f zenon_H3b zenon_H45 zenon_H4a zenon_H3c1.
% 54.73/54.90 apply (zenon_or_s _ _ zenon_H3c0); [ zenon_intro zenon_H101 | zenon_intro zenon_Hd3 ].
% 54.73/54.90 apply (zenon_or_s _ _ zenon_H3c1); [ zenon_intro zenon_H383 | zenon_intro zenon_He8 ].
% 54.73/54.90 apply (zenon_or_s _ _ zenon_H128); [ zenon_intro zenon_H2b | zenon_intro zenon_H134 ].
% 54.73/54.90 apply (zenon_L5_); trivial.
% 54.73/54.90 apply (zenon_or_s _ _ zenon_H134); [ zenon_intro zenon_H4f | zenon_intro zenon_H135 ].
% 54.73/54.90 apply (zenon_L12_); trivial.
% 54.73/54.90 apply (zenon_or_s _ _ zenon_H135); [ zenon_intro zenon_H77 | zenon_intro zenon_H136 ].
% 54.73/54.90 apply (zenon_and_s _ _ zenon_H77). zenon_intro zenon_H57. zenon_intro zenon_H78.
% 54.73/54.90 apply (zenon_and_s _ _ zenon_H78). zenon_intro zenon_H121. zenon_intro zenon_Hda.
% 54.73/54.90 apply (zenon_and_s _ _ zenon_Hda). zenon_intro zenon_Hdc. zenon_intro zenon_Hdb.
% 54.73/54.90 apply (zenon_and_s _ _ zenon_Hdb). zenon_intro zenon_Hde. zenon_intro zenon_Hdd.
% 54.73/54.90 apply (zenon_and_s _ _ zenon_Hdd). zenon_intro zenon_Hd5. zenon_intro zenon_Hdf.
% 54.73/54.90 apply (zenon_or_s _ _ zenon_Hd5); [ zenon_intro zenon_Hd7 | zenon_intro zenon_Hd7 ].
% 54.73/54.90 apply (zenon_L347_); trivial.
% 54.73/54.90 apply (zenon_L347_); trivial.
% 54.73/54.90 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_H89 | zenon_intro zenon_H137 ].
% 54.73/54.90 apply (zenon_L316_); trivial.
% 54.73/54.90 apply (zenon_or_s _ _ zenon_H137); [ zenon_intro zenon_Hb6 | zenon_intro zenon_H138 ].
% 54.73/54.90 apply (zenon_and_s _ _ zenon_Hb6). zenon_intro zenon_H4e. zenon_intro zenon_Hb8.
% 54.73/54.90 apply (zenon_and_s _ _ zenon_Hb8). zenon_intro zenon_Hb9. zenon_intro zenon_H2e.
% 54.73/54.90 apply (zenon_or_s _ _ zenon_H3b7); [ zenon_intro zenon_He5 | zenon_intro zenon_H3b8 ].
% 54.73/54.90 apply (zenon_L335_); trivial.
% 54.73/54.90 apply (zenon_or_s _ _ zenon_H3b8); [ zenon_intro zenon_He8 | zenon_intro zenon_H3b9 ].
% 54.73/54.90 apply (zenon_L337_); trivial.
% 54.73/54.90 apply (zenon_or_s _ _ zenon_H3b9); [ zenon_intro zenon_Hfb | zenon_intro zenon_H106 ].
% 54.73/54.90 apply (zenon_or_s _ _ zenon_H3b4); [ zenon_intro zenon_H9e | zenon_intro zenon_H3b5 ].
% 54.73/54.90 apply (zenon_L27_); trivial.
% 54.73/54.90 apply (zenon_or_s _ _ zenon_H3b5); [ zenon_intro zenon_He9 | zenon_intro zenon_H3b6 ].
% 54.73/54.90 apply (zenon_L348_); trivial.
% 54.73/54.90 apply (zenon_or_s _ _ zenon_H3b6); [ zenon_intro zenon_Heb | zenon_intro zenon_H106 ].
% 54.73/54.90 apply (zenon_L327_); trivial.
% 54.73/54.90 apply (zenon_L349_); trivial.
% 54.73/54.90 apply (zenon_L349_); trivial.
% 54.73/54.90 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H139 ].
% 54.73/54.90 apply (zenon_L32_); trivial.
% 54.73/54.90 apply (zenon_or_s _ _ zenon_H139); [ zenon_intro zenon_Hc8 | zenon_intro zenon_H13a ].
% 54.73/54.90 apply (zenon_L35_); trivial.
% 54.73/54.90 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_Hcd | zenon_intro zenon_H13b ].
% 54.73/54.90 apply (zenon_L321_); trivial.
% 54.73/54.90 apply (zenon_or_s _ _ zenon_H13b); [ zenon_intro zenon_Hcf | zenon_intro zenon_H13c ].
% 54.73/54.90 apply (zenon_L38_); trivial.
% 54.73/54.90 apply (zenon_or_s _ _ zenon_H13c); [ zenon_intro zenon_Hd1 | zenon_intro zenon_H13d ].
% 54.73/54.90 apply (zenon_L39_); trivial.
% 54.73/54.90 apply (zenon_or_s _ _ zenon_H13d); [ zenon_intro zenon_Hd8 | zenon_intro zenon_H13e ].
% 54.73/54.90 apply (zenon_L41_); trivial.
% 54.73/54.90 apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_He0 | zenon_intro zenon_H13f ].
% 54.73/54.90 apply (zenon_L42_); trivial.
% 54.73/54.90 apply (zenon_or_s _ _ zenon_H13f); [ zenon_intro zenon_He3 | zenon_intro zenon_H140 ].
% 54.73/54.90 apply (zenon_L43_); trivial.
% 54.73/54.90 apply (zenon_or_s _ _ zenon_H140); [ zenon_intro zenon_He6 | zenon_intro zenon_H141 ].
% 54.73/54.90 apply (zenon_L44_); trivial.
% 54.73/54.90 apply (zenon_or_s _ _ zenon_H141); [ zenon_intro zenon_H142 | zenon_intro zenon_H108 ].
% 54.73/54.90 apply (zenon_L328_); trivial.
% 54.73/54.90 apply (zenon_L54_); trivial.
% 54.73/54.90 apply (zenon_L337_); trivial.
% 54.73/54.90 apply (zenon_or_s _ _ zenon_H3bd); [ zenon_intro zenon_H92 | zenon_intro zenon_H3be ].
% 54.73/54.90 apply (zenon_L25_); trivial.
% 54.73/54.90 apply (zenon_or_s _ _ zenon_H3be); [ zenon_intro zenon_H388 | zenon_intro zenon_H3bf ].
% 54.73/54.90 apply (zenon_L343_); trivial.
% 54.73/54.90 apply (zenon_or_s _ _ zenon_H3bf); [ zenon_intro zenon_H3ba | zenon_intro zenon_He8 ].
% 54.73/54.90 apply (zenon_L350_); trivial.
% 54.73/54.90 apply (zenon_L337_); trivial.
% 54.73/54.90 (* end of lemma zenon_L351_ *)
% 54.73/54.90 assert (zenon_L352_ : (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> ((op2 (e20) (e21)) = (e21)) -> ((op2 (e20) (e23)) = (e21)) -> False).
% 54.73/54.90 do 0 intro. intros zenon_H3c2 zenon_Hb9 zenon_H3c3.
% 54.73/54.90 cut (((op2 (e20) (e21)) = (e21)) = ((op2 (e20) (e21)) = (op2 (e20) (e23)))).
% 54.73/54.90 intro zenon_D_pnotp.
% 54.73/54.90 apply zenon_H3c2.
% 54.73/54.90 rewrite <- zenon_D_pnotp.
% 54.73/54.90 exact zenon_Hb9.
% 54.73/54.90 cut (((e21) = (op2 (e20) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H3c4].
% 54.73/54.90 cut (((op2 (e20) (e21)) = (op2 (e20) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H90].
% 54.73/54.90 congruence.
% 54.73/54.90 apply zenon_H90. apply refl_equal.
% 54.73/54.90 apply zenon_H3c4. apply sym_equal. exact zenon_H3c3.
% 54.73/54.90 (* end of lemma zenon_L352_ *)
% 54.73/54.90 assert (zenon_L353_ : (((op2 (e20) (e21)) = (e20))\/(((op2 (e20) (e21)) = (e21))\/(((op2 (e20) (e21)) = (e22))\/((op2 (e20) (e21)) = (e23))))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> ((op2 (e20) (e23)) = (e21)) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> ((op2 (e22) (e21)) = (e22)) -> ((e23) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((e20) = (op2 (e21) (e21))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> False).
% 54.73/54.90 do 0 intro. intros zenon_H289 zenon_H8d zenon_H3c3 zenon_H3c2 zenon_H286 zenon_Hd3 zenon_H3b zenon_H33 zenon_H93.
% 54.73/54.90 apply (zenon_or_s _ _ zenon_H289); [ zenon_intro zenon_H51 | zenon_intro zenon_H28a ].
% 54.73/54.90 apply (zenon_L24_); trivial.
% 54.73/54.90 apply (zenon_or_s _ _ zenon_H28a); [ zenon_intro zenon_Hb9 | zenon_intro zenon_H28b ].
% 54.73/54.90 apply (zenon_L352_); trivial.
% 54.73/54.90 apply (zenon_or_s _ _ zenon_H28b); [ zenon_intro zenon_H285 | zenon_intro zenon_H92 ].
% 54.73/54.90 apply (zenon_L136_); trivial.
% 54.73/54.90 apply (zenon_L25_); trivial.
% 54.73/54.90 (* end of lemma zenon_L353_ *)
% 54.73/54.90 assert (zenon_L354_ : (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> ((op2 (e22) (op2 (e22) (e23))) = (e23)) -> ((op2 (e22) (e23)) = (e21)) -> ((op2 (e23) (e21)) = (e23)) -> False).
% 54.73/54.90 do 0 intro. intros zenon_H3c5 zenon_H3c6 zenon_H3c7 zenon_He8.
% 54.73/54.90 cut (((op2 (e22) (op2 (e22) (e23))) = (e23)) = ((op2 (e22) (e21)) = (op2 (e23) (e21)))).
% 54.73/54.90 intro zenon_D_pnotp.
% 54.73/54.90 apply zenon_H3c5.
% 54.73/54.90 rewrite <- zenon_D_pnotp.
% 54.73/54.90 exact zenon_H3c6.
% 54.73/54.90 cut (((e23) = (op2 (e23) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H39e].
% 54.73/54.90 cut (((op2 (e22) (op2 (e22) (e23))) = (op2 (e22) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H3c8].
% 54.73/54.90 congruence.
% 54.73/54.90 elim (classic ((op2 (e22) (e21)) = (op2 (e22) (e21)))); [ zenon_intro zenon_H111 | zenon_intro zenon_H112 ].
% 54.73/54.90 cut (((op2 (e22) (e21)) = (op2 (e22) (e21))) = ((op2 (e22) (op2 (e22) (e23))) = (op2 (e22) (e21)))).
% 54.73/54.90 intro zenon_D_pnotp.
% 54.73/54.90 apply zenon_H3c8.
% 54.73/54.90 rewrite <- zenon_D_pnotp.
% 54.73/54.90 exact zenon_H111.
% 54.73/54.90 cut (((op2 (e22) (e21)) = (op2 (e22) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H112].
% 54.73/54.90 cut (((op2 (e22) (e21)) = (op2 (e22) (op2 (e22) (e23))))); [idtac | apply NNPP; zenon_intro zenon_H3c9].
% 54.73/54.90 congruence.
% 54.73/54.90 cut (((e21) = (op2 (e22) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H3ca].
% 54.73/54.90 cut (((e22) = (e22))); [idtac | apply NNPP; zenon_intro zenon_Hea].
% 54.73/54.90 congruence.
% 54.73/54.90 apply zenon_Hea. apply refl_equal.
% 54.73/54.90 apply zenon_H3ca. apply sym_equal. exact zenon_H3c7.
% 54.73/54.90 apply zenon_H112. apply refl_equal.
% 54.73/54.90 apply zenon_H112. apply refl_equal.
% 54.73/54.90 apply zenon_H39e. apply sym_equal. exact zenon_He8.
% 54.73/54.90 (* end of lemma zenon_L354_ *)
% 54.73/54.90 assert (zenon_L355_ : (((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e21)) = (e22))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> ((op2 (e20) (e21)) = (e21)) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> ((e23) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((e20) = (op2 (e21) (e21))) -> ((e22) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> ((op2 (e22) (op2 (e22) (e23))) = (e23)) -> ((op2 (e22) (e23)) = (e21)) -> False).
% 54.73/54.90 do 0 intro. intros zenon_H3b1 zenon_H39d zenon_Hb9 zenon_H282 zenon_H60 zenon_H3b zenon_H33 zenon_H3f zenon_H3c5 zenon_H3c6 zenon_H3c7.
% 54.73/54.90 apply (zenon_or_s _ _ zenon_H3b1); [ zenon_intro zenon_H3ab | zenon_intro zenon_H3b2 ].
% 54.73/54.90 apply (zenon_L339_); trivial.
% 54.73/54.90 apply (zenon_or_s _ _ zenon_H3b2); [ zenon_intro zenon_H283 | zenon_intro zenon_H3b3 ].
% 54.73/54.90 apply (zenon_L135_); trivial.
% 54.73/54.90 apply (zenon_or_s _ _ zenon_H3b3); [ zenon_intro zenon_H5f | zenon_intro zenon_He8 ].
% 54.73/54.90 apply (zenon_L15_); trivial.
% 54.73/54.90 apply (zenon_L354_); trivial.
% 54.73/54.90 (* end of lemma zenon_L355_ *)
% 54.73/54.90 assert (zenon_L356_ : (((op2 (e20) (e21)) = (e20))\/(((op2 (e20) (e21)) = (e21))\/(((op2 (e20) (e21)) = (e22))\/((op2 (e20) (e21)) = (e23))))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> ((op2 (e22) (e23)) = (e21)) -> ((op2 (e22) (op2 (e22) (e23))) = (e23)) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> ((e22) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> (((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e21)) = (e22))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> ((op2 (e22) (e21)) = (e22)) -> ((e23) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((e20) = (op2 (e21) (e21))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> False).
% 54.73/54.90 do 0 intro. intros zenon_H289 zenon_H8d zenon_H3c7 zenon_H3c6 zenon_H3c5 zenon_H3f zenon_H60 zenon_H282 zenon_H39d zenon_H3b1 zenon_H286 zenon_Hd3 zenon_H3b zenon_H33 zenon_H93.
% 54.73/54.90 apply (zenon_or_s _ _ zenon_H289); [ zenon_intro zenon_H51 | zenon_intro zenon_H28a ].
% 54.73/54.90 apply (zenon_L24_); trivial.
% 54.73/54.90 apply (zenon_or_s _ _ zenon_H28a); [ zenon_intro zenon_Hb9 | zenon_intro zenon_H28b ].
% 54.73/54.90 apply (zenon_L355_); trivial.
% 54.73/54.90 apply (zenon_or_s _ _ zenon_H28b); [ zenon_intro zenon_H285 | zenon_intro zenon_H92 ].
% 54.73/54.90 apply (zenon_L136_); trivial.
% 54.73/54.90 apply (zenon_L25_); trivial.
% 54.73/54.90 (* end of lemma zenon_L356_ *)
% 54.73/54.90 assert (zenon_L357_ : (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> ((op2 (e20) (e22)) = (e20)) -> ((op2 (e23) (e22)) = (e20)) -> False).
% 54.73/54.90 do 0 intro. intros zenon_H3cb zenon_H57 zenon_H81.
% 54.73/54.90 cut (((op2 (e20) (e22)) = (e20)) = ((op2 (e20) (e22)) = (op2 (e23) (e22)))).
% 54.73/54.90 intro zenon_D_pnotp.
% 54.73/54.90 apply zenon_H3cb.
% 54.73/54.90 rewrite <- zenon_D_pnotp.
% 54.73/54.90 exact zenon_H57.
% 54.73/54.90 cut (((e20) = (op2 (e23) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H82].
% 54.73/54.90 cut (((op2 (e20) (e22)) = (op2 (e20) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H9a].
% 54.73/54.90 congruence.
% 54.73/54.90 apply zenon_H9a. apply refl_equal.
% 54.73/54.90 apply zenon_H82. apply sym_equal. exact zenon_H81.
% 54.73/54.90 (* end of lemma zenon_L357_ *)
% 54.73/54.90 assert (zenon_L358_ : (~((op2 (e22) (e21)) = (op2 (e22) (op2 (e22) (e21))))) -> ((op2 (e22) (e21)) = (e21)) -> False).
% 54.73/54.90 do 0 intro. intros zenon_H3cc zenon_H27f.
% 54.73/54.90 cut (((e21) = (op2 (e22) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H3cd].
% 54.73/54.90 cut (((e22) = (e22))); [idtac | apply NNPP; zenon_intro zenon_Hea].
% 54.73/54.90 congruence.
% 54.73/54.90 apply zenon_Hea. apply refl_equal.
% 54.73/54.90 apply zenon_H3cd. apply sym_equal. exact zenon_H27f.
% 54.73/54.90 (* end of lemma zenon_L358_ *)
% 54.73/54.90 assert (zenon_L359_ : ((op2 (e22) (op2 (e22) (e21))) = (e21)) -> ((op2 (e22) (e21)) = (e21)) -> ((op2 (e20) (e21)) = (e21)) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> False).
% 54.73/54.90 do 0 intro. intros zenon_H3ce zenon_H27f zenon_Hb9 zenon_H286.
% 54.73/54.90 elim (classic ((op2 (e22) (e21)) = (op2 (e22) (e21)))); [ zenon_intro zenon_H111 | zenon_intro zenon_H112 ].
% 54.73/54.90 cut (((op2 (e22) (e21)) = (op2 (e22) (e21))) = ((op2 (e20) (e21)) = (op2 (e22) (e21)))).
% 54.73/54.90 intro zenon_D_pnotp.
% 54.73/54.90 apply zenon_H286.
% 54.73/54.90 rewrite <- zenon_D_pnotp.
% 54.73/54.90 exact zenon_H111.
% 54.73/54.90 cut (((op2 (e22) (e21)) = (op2 (e22) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H112].
% 54.73/54.90 cut (((op2 (e22) (e21)) = (op2 (e20) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H287].
% 54.73/54.90 congruence.
% 54.73/54.90 cut (((op2 (e22) (op2 (e22) (e21))) = (e21)) = ((op2 (e22) (e21)) = (op2 (e20) (e21)))).
% 54.73/54.90 intro zenon_D_pnotp.
% 54.73/54.90 apply zenon_H287.
% 54.73/54.90 rewrite <- zenon_D_pnotp.
% 54.73/54.90 exact zenon_H3ce.
% 54.73/54.90 cut (((e21) = (op2 (e20) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H3cf].
% 54.73/54.90 cut (((op2 (e22) (op2 (e22) (e21))) = (op2 (e22) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H3d0].
% 54.73/54.90 congruence.
% 54.73/54.90 elim (classic ((op2 (e22) (e21)) = (op2 (e22) (e21)))); [ zenon_intro zenon_H111 | zenon_intro zenon_H112 ].
% 54.73/54.90 cut (((op2 (e22) (e21)) = (op2 (e22) (e21))) = ((op2 (e22) (op2 (e22) (e21))) = (op2 (e22) (e21)))).
% 54.73/54.90 intro zenon_D_pnotp.
% 54.73/54.90 apply zenon_H3d0.
% 54.73/54.90 rewrite <- zenon_D_pnotp.
% 54.73/54.90 exact zenon_H111.
% 54.73/54.90 cut (((op2 (e22) (e21)) = (op2 (e22) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H112].
% 54.73/54.90 cut (((op2 (e22) (e21)) = (op2 (e22) (op2 (e22) (e21))))); [idtac | apply NNPP; zenon_intro zenon_H3cc].
% 54.73/54.90 congruence.
% 54.73/54.90 apply (zenon_L358_); trivial.
% 54.73/54.90 apply zenon_H112. apply refl_equal.
% 54.73/54.90 apply zenon_H112. apply refl_equal.
% 54.73/54.90 apply zenon_H3cf. apply sym_equal. exact zenon_Hb9.
% 54.73/54.90 apply zenon_H112. apply refl_equal.
% 54.73/54.90 apply zenon_H112. apply refl_equal.
% 54.73/54.90 (* end of lemma zenon_L359_ *)
% 54.73/54.90 assert (zenon_L360_ : (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> ((op2 (e22) (op2 (e22) (e21))) = (e21)) -> ((op2 (e22) (e21)) = (e22)) -> ((op2 (e23) (e22)) = (e21)) -> False).
% 54.73/54.90 do 0 intro. intros zenon_Hfc zenon_H3ce zenon_Hd3 zenon_H3d1.
% 54.73/54.90 cut (((op2 (e22) (op2 (e22) (e21))) = (e21)) = ((op2 (e22) (e22)) = (op2 (e23) (e22)))).
% 54.73/54.90 intro zenon_D_pnotp.
% 54.73/54.90 apply zenon_Hfc.
% 54.73/54.90 rewrite <- zenon_D_pnotp.
% 54.73/54.90 exact zenon_H3ce.
% 54.73/54.90 cut (((e21) = (op2 (e23) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H3d2].
% 54.73/54.90 cut (((op2 (e22) (op2 (e22) (e21))) = (op2 (e22) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H3d3].
% 54.73/54.90 congruence.
% 54.73/54.90 elim (classic ((op2 (e22) (e22)) = (op2 (e22) (e22)))); [ zenon_intro zenon_H3d4 | zenon_intro zenon_H3d5 ].
% 54.73/54.90 cut (((op2 (e22) (e22)) = (op2 (e22) (e22))) = ((op2 (e22) (op2 (e22) (e21))) = (op2 (e22) (e22)))).
% 54.73/54.90 intro zenon_D_pnotp.
% 54.73/54.90 apply zenon_H3d3.
% 54.73/54.90 rewrite <- zenon_D_pnotp.
% 54.73/54.90 exact zenon_H3d4.
% 54.73/54.90 cut (((op2 (e22) (e22)) = (op2 (e22) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H3d5].
% 54.73/54.90 cut (((op2 (e22) (e22)) = (op2 (e22) (op2 (e22) (e21))))); [idtac | apply NNPP; zenon_intro zenon_H3d6].
% 54.73/54.90 congruence.
% 54.73/54.90 cut (((e22) = (op2 (e22) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H3d7].
% 54.73/54.90 cut (((e22) = (e22))); [idtac | apply NNPP; zenon_intro zenon_Hea].
% 54.73/54.90 congruence.
% 54.73/54.90 apply zenon_Hea. apply refl_equal.
% 54.73/54.90 apply zenon_H3d7. apply sym_equal. exact zenon_Hd3.
% 54.73/54.90 apply zenon_H3d5. apply refl_equal.
% 54.73/54.90 apply zenon_H3d5. apply refl_equal.
% 54.73/54.90 apply zenon_H3d2. apply sym_equal. exact zenon_H3d1.
% 54.73/54.90 (* end of lemma zenon_L360_ *)
% 54.73/54.90 assert (zenon_L361_ : (~((op2 (e22) (e23)) = (op2 (e22) (op2 (e22) (e21))))) -> ((op2 (e22) (e21)) = (e23)) -> False).
% 54.73/54.90 do 0 intro. intros zenon_H3d8 zenon_H3ba.
% 54.73/54.90 cut (((e23) = (op2 (e22) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H3bb].
% 54.73/54.90 cut (((e22) = (e22))); [idtac | apply NNPP; zenon_intro zenon_Hea].
% 54.73/54.90 congruence.
% 54.73/54.90 apply zenon_Hea. apply refl_equal.
% 54.73/54.90 apply zenon_H3bb. apply sym_equal. exact zenon_H3ba.
% 54.73/54.90 (* end of lemma zenon_L361_ *)
% 54.73/54.90 assert (zenon_L362_ : (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> ((op2 (e22) (op2 (e22) (e21))) = (e21)) -> ((op2 (e22) (e21)) = (e23)) -> ((op2 (e23) (e23)) = (e21)) -> False).
% 54.73/54.90 do 0 intro. intros zenon_H3d9 zenon_H3ce zenon_H3ba zenon_H386.
% 54.73/54.90 cut (((op2 (e22) (op2 (e22) (e21))) = (e21)) = ((op2 (e22) (e23)) = (op2 (e23) (e23)))).
% 54.73/54.90 intro zenon_D_pnotp.
% 54.73/54.90 apply zenon_H3d9.
% 54.73/54.90 rewrite <- zenon_D_pnotp.
% 54.73/54.90 exact zenon_H3ce.
% 54.73/54.90 cut (((e21) = (op2 (e23) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H3da].
% 54.73/54.90 cut (((op2 (e22) (op2 (e22) (e21))) = (op2 (e22) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H3db].
% 54.73/54.90 congruence.
% 54.73/54.90 elim (classic ((op2 (e22) (e23)) = (op2 (e22) (e23)))); [ zenon_intro zenon_H38a | zenon_intro zenon_H38b ].
% 54.73/54.90 cut (((op2 (e22) (e23)) = (op2 (e22) (e23))) = ((op2 (e22) (op2 (e22) (e21))) = (op2 (e22) (e23)))).
% 54.73/54.90 intro zenon_D_pnotp.
% 54.73/54.90 apply zenon_H3db.
% 54.73/54.90 rewrite <- zenon_D_pnotp.
% 54.73/54.90 exact zenon_H38a.
% 54.73/54.90 cut (((op2 (e22) (e23)) = (op2 (e22) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H38b].
% 54.73/54.90 cut (((op2 (e22) (e23)) = (op2 (e22) (op2 (e22) (e21))))); [idtac | apply NNPP; zenon_intro zenon_H3d8].
% 54.73/54.90 congruence.
% 54.73/54.90 apply (zenon_L361_); trivial.
% 54.73/54.90 apply zenon_H38b. apply refl_equal.
% 54.73/54.90 apply zenon_H38b. apply refl_equal.
% 54.73/54.90 apply zenon_H3da. apply sym_equal. exact zenon_H386.
% 54.73/54.90 (* end of lemma zenon_L362_ *)
% 54.73/54.90 assert (zenon_L363_ : (((op2 (e22) (e21)) = (e20))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e22) (e21)) = (e23))))) -> (~((op2 (e21) (e21)) = (op2 (e22) (e21)))) -> ((e20) = (op2 (e21) (e21))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> ((op2 (e20) (e21)) = (e21)) -> ((op2 (e23) (e22)) = (e21)) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> ((op2 (e22) (op2 (e22) (e21))) = (e21)) -> ((op2 (e23) (e23)) = (e21)) -> False).
% 54.73/54.90 do 0 intro. intros zenon_H3dc zenon_H110 zenon_H33 zenon_H286 zenon_Hb9 zenon_H3d1 zenon_Hfc zenon_H3d9 zenon_H3ce zenon_H386.
% 54.73/54.90 apply (zenon_or_s _ _ zenon_H3dc); [ zenon_intro zenon_H10f | zenon_intro zenon_H3dd ].
% 54.73/54.90 apply (zenon_L55_); trivial.
% 54.73/54.90 apply (zenon_or_s _ _ zenon_H3dd); [ zenon_intro zenon_H27f | zenon_intro zenon_H3de ].
% 54.73/54.90 apply (zenon_L359_); trivial.
% 54.73/54.90 apply (zenon_or_s _ _ zenon_H3de); [ zenon_intro zenon_Hd3 | zenon_intro zenon_H3ba ].
% 54.73/54.90 apply (zenon_L360_); trivial.
% 54.73/54.90 apply (zenon_L362_); trivial.
% 54.73/54.90 (* end of lemma zenon_L363_ *)
% 54.73/54.90 assert (zenon_L364_ : ((e23) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((op2 (e22) (e20)) = (e23)) -> ((e20) = (op2 (e21) (e21))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> False).
% 54.73/54.90 do 0 intro. intros zenon_H3b zenon_H3df zenon_H33 zenon_H11f.
% 54.73/54.90 elim (classic ((op2 (e22) (e20)) = (op2 (e22) (e20)))); [ zenon_intro zenon_Hb3 | zenon_intro zenon_Hb4 ].
% 54.73/54.90 cut (((op2 (e22) (e20)) = (op2 (e22) (e20))) = ((op2 (e20) (e20)) = (op2 (e22) (e20)))).
% 54.73/54.90 intro zenon_D_pnotp.
% 54.73/54.90 apply zenon_H11f.
% 54.73/54.90 rewrite <- zenon_D_pnotp.
% 54.73/54.90 exact zenon_Hb3.
% 54.73/54.90 cut (((op2 (e22) (e20)) = (op2 (e22) (e20)))); [idtac | apply NNPP; zenon_intro zenon_Hb4].
% 54.73/54.90 cut (((op2 (e22) (e20)) = (op2 (e20) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H3e0].
% 54.73/54.90 congruence.
% 54.73/54.90 cut (((e23) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) = ((op2 (e22) (e20)) = (op2 (e20) (e20)))).
% 54.73/54.90 intro zenon_D_pnotp.
% 54.73/54.90 apply zenon_H3e0.
% 54.73/54.90 rewrite <- zenon_D_pnotp.
% 54.73/54.90 exact zenon_H3b.
% 54.73/54.90 cut (((op2 (op2 (e21) (e21)) (op2 (e21) (e21))) = (op2 (e20) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H43].
% 54.73/54.90 cut (((e23) = (op2 (e22) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H3e1].
% 54.73/54.90 congruence.
% 54.73/54.90 elim (classic ((op2 (e22) (e20)) = (op2 (e22) (e20)))); [ zenon_intro zenon_Hb3 | zenon_intro zenon_Hb4 ].
% 54.73/54.90 cut (((op2 (e22) (e20)) = (op2 (e22) (e20))) = ((e23) = (op2 (e22) (e20)))).
% 54.73/54.90 intro zenon_D_pnotp.
% 54.73/54.90 apply zenon_H3e1.
% 54.73/54.90 rewrite <- zenon_D_pnotp.
% 54.73/54.90 exact zenon_Hb3.
% 54.73/54.90 cut (((op2 (e22) (e20)) = (op2 (e22) (e20)))); [idtac | apply NNPP; zenon_intro zenon_Hb4].
% 54.73/54.90 cut (((op2 (e22) (e20)) = (e23))); [idtac | apply NNPP; zenon_intro zenon_H3e2].
% 54.73/54.90 congruence.
% 54.73/54.90 exact (zenon_H3e2 zenon_H3df).
% 54.73/54.90 apply zenon_Hb4. apply refl_equal.
% 54.73/54.90 apply zenon_Hb4. apply refl_equal.
% 54.73/54.90 apply (zenon_L9_); trivial.
% 54.73/54.90 apply zenon_Hb4. apply refl_equal.
% 54.73/54.90 apply zenon_Hb4. apply refl_equal.
% 54.73/54.90 (* end of lemma zenon_L364_ *)
% 54.73/54.90 assert (zenon_L365_ : ((op2 (e22) (op2 (e22) (e21))) = (e21)) -> ((op2 (e22) (e21)) = (e23)) -> ((op2 (e20) (e23)) = (e21)) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> False).
% 54.73/54.90 do 0 intro. intros zenon_H3ce zenon_H3ba zenon_H3c3 zenon_H116.
% 54.73/54.90 elim (classic ((op2 (e22) (e23)) = (op2 (e22) (e23)))); [ zenon_intro zenon_H38a | zenon_intro zenon_H38b ].
% 54.73/54.90 cut (((op2 (e22) (e23)) = (op2 (e22) (e23))) = ((op2 (e20) (e23)) = (op2 (e22) (e23)))).
% 54.73/54.90 intro zenon_D_pnotp.
% 54.73/54.90 apply zenon_H116.
% 54.73/54.90 rewrite <- zenon_D_pnotp.
% 54.73/54.90 exact zenon_H38a.
% 54.73/54.90 cut (((op2 (e22) (e23)) = (op2 (e22) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H38b].
% 54.73/54.90 cut (((op2 (e22) (e23)) = (op2 (e20) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H38c].
% 54.73/54.90 congruence.
% 54.73/54.90 cut (((op2 (e22) (op2 (e22) (e21))) = (e21)) = ((op2 (e22) (e23)) = (op2 (e20) (e23)))).
% 54.73/54.90 intro zenon_D_pnotp.
% 54.73/54.90 apply zenon_H38c.
% 54.73/54.90 rewrite <- zenon_D_pnotp.
% 54.73/54.90 exact zenon_H3ce.
% 54.73/54.90 cut (((e21) = (op2 (e20) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H3c4].
% 54.73/54.90 cut (((op2 (e22) (op2 (e22) (e21))) = (op2 (e22) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H3db].
% 54.73/54.90 congruence.
% 54.73/54.90 elim (classic ((op2 (e22) (e23)) = (op2 (e22) (e23)))); [ zenon_intro zenon_H38a | zenon_intro zenon_H38b ].
% 54.73/54.90 cut (((op2 (e22) (e23)) = (op2 (e22) (e23))) = ((op2 (e22) (op2 (e22) (e21))) = (op2 (e22) (e23)))).
% 54.73/54.90 intro zenon_D_pnotp.
% 54.73/54.90 apply zenon_H3db.
% 54.73/54.90 rewrite <- zenon_D_pnotp.
% 54.73/54.90 exact zenon_H38a.
% 54.73/54.90 cut (((op2 (e22) (e23)) = (op2 (e22) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H38b].
% 54.73/54.90 cut (((op2 (e22) (e23)) = (op2 (e22) (op2 (e22) (e21))))); [idtac | apply NNPP; zenon_intro zenon_H3d8].
% 54.73/54.90 congruence.
% 54.73/54.90 apply (zenon_L361_); trivial.
% 54.73/54.90 apply zenon_H38b. apply refl_equal.
% 54.73/54.90 apply zenon_H38b. apply refl_equal.
% 54.73/54.90 apply zenon_H3c4. apply sym_equal. exact zenon_H3c3.
% 54.73/54.90 apply zenon_H38b. apply refl_equal.
% 54.73/54.90 apply zenon_H38b. apply refl_equal.
% 54.73/54.90 (* end of lemma zenon_L365_ *)
% 54.73/54.90 assert (zenon_L366_ : ((op2 (e22) (op2 (e22) (e21))) = (e21)) -> ((op2 (e22) (e21)) = (e23)) -> ((op2 (e21) (e23)) = (e21)) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> False).
% 54.73/54.90 do 0 intro. intros zenon_H3ce zenon_H3ba zenon_Hcb zenon_H394.
% 54.73/54.90 elim (classic ((op2 (e22) (e23)) = (op2 (e22) (e23)))); [ zenon_intro zenon_H38a | zenon_intro zenon_H38b ].
% 54.73/54.90 cut (((op2 (e22) (e23)) = (op2 (e22) (e23))) = ((op2 (e21) (e23)) = (op2 (e22) (e23)))).
% 54.73/54.90 intro zenon_D_pnotp.
% 54.73/54.90 apply zenon_H394.
% 54.73/54.90 rewrite <- zenon_D_pnotp.
% 54.73/54.90 exact zenon_H38a.
% 54.73/54.90 cut (((op2 (e22) (e23)) = (op2 (e22) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H38b].
% 54.73/54.90 cut (((op2 (e22) (e23)) = (op2 (e21) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H3e3].
% 54.73/54.90 congruence.
% 54.73/54.90 cut (((op2 (e22) (op2 (e22) (e21))) = (e21)) = ((op2 (e22) (e23)) = (op2 (e21) (e23)))).
% 54.73/54.90 intro zenon_D_pnotp.
% 54.73/54.90 apply zenon_H3e3.
% 54.73/54.90 rewrite <- zenon_D_pnotp.
% 54.73/54.90 exact zenon_H3ce.
% 54.73/54.90 cut (((e21) = (op2 (e21) (e23)))); [idtac | apply NNPP; zenon_intro zenon_Hcc].
% 54.73/54.90 cut (((op2 (e22) (op2 (e22) (e21))) = (op2 (e22) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H3db].
% 54.73/54.90 congruence.
% 54.73/54.90 elim (classic ((op2 (e22) (e23)) = (op2 (e22) (e23)))); [ zenon_intro zenon_H38a | zenon_intro zenon_H38b ].
% 54.73/54.90 cut (((op2 (e22) (e23)) = (op2 (e22) (e23))) = ((op2 (e22) (op2 (e22) (e21))) = (op2 (e22) (e23)))).
% 54.73/54.90 intro zenon_D_pnotp.
% 54.73/54.90 apply zenon_H3db.
% 54.73/54.90 rewrite <- zenon_D_pnotp.
% 54.73/54.90 exact zenon_H38a.
% 54.73/54.90 cut (((op2 (e22) (e23)) = (op2 (e22) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H38b].
% 54.73/54.90 cut (((op2 (e22) (e23)) = (op2 (e22) (op2 (e22) (e21))))); [idtac | apply NNPP; zenon_intro zenon_H3d8].
% 54.73/54.90 congruence.
% 54.73/54.90 apply (zenon_L361_); trivial.
% 54.73/54.90 apply zenon_H38b. apply refl_equal.
% 54.73/54.90 apply zenon_H38b. apply refl_equal.
% 54.73/54.90 apply zenon_Hcc. apply sym_equal. exact zenon_Hcb.
% 54.73/54.90 apply zenon_H38b. apply refl_equal.
% 54.73/54.90 apply zenon_H38b. apply refl_equal.
% 54.73/54.90 (* end of lemma zenon_L366_ *)
% 54.73/54.90 assert (zenon_L367_ : (((op2 (e20) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> ((op2 (e22) (op2 (e22) (e23))) = (e23)) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> ((e22) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> ((e20) = (op2 (e21) (e21))) -> ((e23) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> ((op2 (e20) (e21)) = (e21)) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> (((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e21)) = (e22))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> ((op2 (e22) (op2 (e22) (e21))) = (e21)) -> ((op2 (e22) (e21)) = (e23)) -> False).
% 54.73/54.90 do 0 intro. intros zenon_H3e4 zenon_H116 zenon_H394 zenon_H3c6 zenon_H3c5 zenon_H3f zenon_H33 zenon_H3b zenon_H60 zenon_H282 zenon_Hb9 zenon_H39d zenon_H3b1 zenon_H3d9 zenon_H3ce zenon_H3ba.
% 54.73/54.90 apply (zenon_or_s _ _ zenon_H3e4); [ zenon_intro zenon_H3c3 | zenon_intro zenon_H3e5 ].
% 54.73/54.90 apply (zenon_L365_); trivial.
% 54.73/54.90 apply (zenon_or_s _ _ zenon_H3e5); [ zenon_intro zenon_Hcb | zenon_intro zenon_H3e6 ].
% 54.73/54.90 apply (zenon_L366_); trivial.
% 54.73/54.90 apply (zenon_or_s _ _ zenon_H3e6); [ zenon_intro zenon_H3c7 | zenon_intro zenon_H386 ].
% 54.73/54.90 apply (zenon_L355_); trivial.
% 54.73/54.90 apply (zenon_L362_); trivial.
% 54.73/54.90 (* end of lemma zenon_L367_ *)
% 54.73/54.90 assert (zenon_L368_ : (~((op2 (e22) (e20)) = (op2 (e22) (op2 (e22) (e23))))) -> ((op2 (e22) (e23)) = (e20)) -> False).
% 54.73/54.90 do 0 intro. intros zenon_H3e7 zenon_H118.
% 54.73/54.90 cut (((e20) = (op2 (e22) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H119].
% 54.73/54.90 cut (((e22) = (e22))); [idtac | apply NNPP; zenon_intro zenon_Hea].
% 54.73/54.90 congruence.
% 54.73/54.90 apply zenon_Hea. apply refl_equal.
% 54.73/54.90 apply zenon_H119. apply sym_equal. exact zenon_H118.
% 54.73/54.90 (* end of lemma zenon_L368_ *)
% 54.73/54.90 assert (zenon_L369_ : (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> ((op2 (e22) (op2 (e22) (e23))) = (e23)) -> ((op2 (e22) (e23)) = (e20)) -> ((op2 (e22) (e22)) = (e23)) -> False).
% 54.73/54.90 do 0 intro. intros zenon_H37d zenon_H3c6 zenon_H118 zenon_Hf6.
% 54.73/54.90 cut (((op2 (e22) (op2 (e22) (e23))) = (e23)) = ((op2 (e22) (e20)) = (op2 (e22) (e22)))).
% 54.73/54.90 intro zenon_D_pnotp.
% 54.73/54.90 apply zenon_H37d.
% 54.73/54.90 rewrite <- zenon_D_pnotp.
% 54.73/54.90 exact zenon_H3c6.
% 54.73/54.90 cut (((e23) = (op2 (e22) (e22)))); [idtac | apply NNPP; zenon_intro zenon_Hf7].
% 54.73/54.90 cut (((op2 (e22) (op2 (e22) (e23))) = (op2 (e22) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H3e8].
% 54.73/54.90 congruence.
% 54.73/54.90 elim (classic ((op2 (e22) (e20)) = (op2 (e22) (e20)))); [ zenon_intro zenon_Hb3 | zenon_intro zenon_Hb4 ].
% 54.73/54.90 cut (((op2 (e22) (e20)) = (op2 (e22) (e20))) = ((op2 (e22) (op2 (e22) (e23))) = (op2 (e22) (e20)))).
% 54.73/54.90 intro zenon_D_pnotp.
% 54.73/54.90 apply zenon_H3e8.
% 54.73/54.90 rewrite <- zenon_D_pnotp.
% 54.73/54.90 exact zenon_Hb3.
% 54.73/54.90 cut (((op2 (e22) (e20)) = (op2 (e22) (e20)))); [idtac | apply NNPP; zenon_intro zenon_Hb4].
% 54.73/54.90 cut (((op2 (e22) (e20)) = (op2 (e22) (op2 (e22) (e23))))); [idtac | apply NNPP; zenon_intro zenon_H3e7].
% 54.73/54.90 congruence.
% 54.73/54.90 apply (zenon_L368_); trivial.
% 54.73/54.90 apply zenon_Hb4. apply refl_equal.
% 54.73/54.90 apply zenon_Hb4. apply refl_equal.
% 54.73/54.90 apply zenon_Hf7. apply sym_equal. exact zenon_Hf6.
% 54.73/54.90 (* end of lemma zenon_L369_ *)
% 54.73/54.90 assert (zenon_L370_ : (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> ((op2 (e22) (op2 (e22) (e23))) = (e23)) -> ((op2 (e22) (e23)) = (e22)) -> ((op2 (e23) (e22)) = (e23)) -> False).
% 54.73/54.90 do 0 intro. intros zenon_Hfc zenon_H3c6 zenon_He2 zenon_Hfb.
% 54.73/54.90 cut (((op2 (e22) (op2 (e22) (e23))) = (e23)) = ((op2 (e22) (e22)) = (op2 (e23) (e22)))).
% 54.73/54.90 intro zenon_D_pnotp.
% 54.73/54.90 apply zenon_Hfc.
% 54.73/54.90 rewrite <- zenon_D_pnotp.
% 54.73/54.90 exact zenon_H3c6.
% 54.73/54.90 cut (((e23) = (op2 (e23) (e22)))); [idtac | apply NNPP; zenon_intro zenon_Hfe].
% 54.73/54.90 cut (((op2 (e22) (op2 (e22) (e23))) = (op2 (e22) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H3e9].
% 54.73/54.90 congruence.
% 54.73/54.90 elim (classic ((op2 (e22) (e22)) = (op2 (e22) (e22)))); [ zenon_intro zenon_H3d4 | zenon_intro zenon_H3d5 ].
% 54.73/54.90 cut (((op2 (e22) (e22)) = (op2 (e22) (e22))) = ((op2 (e22) (op2 (e22) (e23))) = (op2 (e22) (e22)))).
% 54.73/54.90 intro zenon_D_pnotp.
% 54.73/54.90 apply zenon_H3e9.
% 54.73/54.90 rewrite <- zenon_D_pnotp.
% 54.73/54.90 exact zenon_H3d4.
% 54.73/54.90 cut (((op2 (e22) (e22)) = (op2 (e22) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H3d5].
% 54.73/54.90 cut (((op2 (e22) (e22)) = (op2 (e22) (op2 (e22) (e23))))); [idtac | apply NNPP; zenon_intro zenon_H3ea].
% 54.73/54.90 congruence.
% 54.73/54.90 cut (((e22) = (op2 (e22) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H3eb].
% 54.73/54.90 cut (((e22) = (e22))); [idtac | apply NNPP; zenon_intro zenon_Hea].
% 54.73/54.90 congruence.
% 54.73/54.90 apply zenon_Hea. apply refl_equal.
% 54.73/54.90 apply zenon_H3eb. apply sym_equal. exact zenon_He2.
% 54.73/54.90 apply zenon_H3d5. apply refl_equal.
% 54.73/54.90 apply zenon_H3d5. apply refl_equal.
% 54.73/54.90 apply zenon_Hfe. apply sym_equal. exact zenon_Hfb.
% 54.73/54.90 (* end of lemma zenon_L370_ *)
% 54.73/54.90 assert (zenon_L371_ : ((op2 (e22) (op2 (e22) (e23))) = (e23)) -> ((op2 (e22) (e23)) = (e23)) -> ((op2 (e21) (e23)) = (e23)) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> False).
% 54.73/54.90 do 0 intro. intros zenon_H3c6 zenon_Heb zenon_He9 zenon_H394.
% 54.73/54.90 elim (classic ((op2 (e22) (e23)) = (op2 (e22) (e23)))); [ zenon_intro zenon_H38a | zenon_intro zenon_H38b ].
% 54.73/54.90 cut (((op2 (e22) (e23)) = (op2 (e22) (e23))) = ((op2 (e21) (e23)) = (op2 (e22) (e23)))).
% 54.73/54.90 intro zenon_D_pnotp.
% 54.73/54.90 apply zenon_H394.
% 54.73/54.90 rewrite <- zenon_D_pnotp.
% 54.73/54.90 exact zenon_H38a.
% 54.73/54.90 cut (((op2 (e22) (e23)) = (op2 (e22) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H38b].
% 54.73/54.90 cut (((op2 (e22) (e23)) = (op2 (e21) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H3e3].
% 54.73/54.90 congruence.
% 54.73/54.90 cut (((op2 (e22) (op2 (e22) (e23))) = (e23)) = ((op2 (e22) (e23)) = (op2 (e21) (e23)))).
% 54.73/54.90 intro zenon_D_pnotp.
% 54.73/54.90 apply zenon_H3e3.
% 54.73/54.90 rewrite <- zenon_D_pnotp.
% 54.73/54.90 exact zenon_H3c6.
% 54.73/54.90 cut (((e23) = (op2 (e21) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H393].
% 54.73/54.90 cut (((op2 (e22) (op2 (e22) (e23))) = (op2 (e22) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H3ec].
% 54.73/54.90 congruence.
% 54.73/54.90 elim (classic ((op2 (e22) (e23)) = (op2 (e22) (e23)))); [ zenon_intro zenon_H38a | zenon_intro zenon_H38b ].
% 54.73/54.90 cut (((op2 (e22) (e23)) = (op2 (e22) (e23))) = ((op2 (e22) (op2 (e22) (e23))) = (op2 (e22) (e23)))).
% 54.73/54.90 intro zenon_D_pnotp.
% 54.73/54.90 apply zenon_H3ec.
% 54.73/54.90 rewrite <- zenon_D_pnotp.
% 54.73/54.90 exact zenon_H38a.
% 54.73/54.90 cut (((op2 (e22) (e23)) = (op2 (e22) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H38b].
% 54.73/54.90 cut (((op2 (e22) (e23)) = (op2 (e22) (op2 (e22) (e23))))); [idtac | apply NNPP; zenon_intro zenon_H3ed].
% 54.73/54.90 congruence.
% 54.73/54.90 cut (((e23) = (op2 (e22) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H38d].
% 54.73/54.90 cut (((e22) = (e22))); [idtac | apply NNPP; zenon_intro zenon_Hea].
% 54.73/54.90 congruence.
% 54.73/54.90 apply zenon_Hea. apply refl_equal.
% 54.73/54.90 apply zenon_H38d. apply sym_equal. exact zenon_Heb.
% 54.73/54.90 apply zenon_H38b. apply refl_equal.
% 54.73/54.90 apply zenon_H38b. apply refl_equal.
% 54.73/54.90 apply zenon_H393. apply sym_equal. exact zenon_He9.
% 54.73/54.90 apply zenon_H38b. apply refl_equal.
% 54.73/54.90 apply zenon_H38b. apply refl_equal.
% 54.73/54.90 (* end of lemma zenon_L371_ *)
% 54.73/54.90 assert (zenon_L372_ : (((op2 (e21) (e20)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/((op2 (e21) (e23)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> ((e20) = (op2 (e21) (e21))) -> ((e23) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> ((op2 (e23) (e22)) = (e23)) -> ((op2 (e22) (op2 (e22) (e23))) = (e23)) -> ((op2 (e22) (e23)) = (e23)) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> False).
% 54.73/54.90 do 0 intro. intros zenon_H399 zenon_H45 zenon_H116 zenon_H33 zenon_H3b zenon_H38f zenon_Hfb zenon_H3c6 zenon_Heb zenon_H394.
% 54.73/54.90 apply (zenon_or_s _ _ zenon_H399); [ zenon_intro zenon_H44 | zenon_intro zenon_H39a ].
% 54.73/54.90 apply (zenon_L10_); trivial.
% 54.73/54.90 apply (zenon_or_s _ _ zenon_H39a); [ zenon_intro zenon_H388 | zenon_intro zenon_H39b ].
% 54.73/54.90 apply (zenon_L323_); trivial.
% 54.73/54.90 apply (zenon_or_s _ _ zenon_H39b); [ zenon_intro zenon_H38e | zenon_intro zenon_He9 ].
% 54.73/54.90 apply (zenon_L324_); trivial.
% 54.73/54.90 apply (zenon_L371_); trivial.
% 54.73/54.90 (* end of lemma zenon_L372_ *)
% 54.73/54.90 assert (zenon_L373_ : (((op2 (e22) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e22) (e23)) = (e23))))) -> ((op2 (e22) (e22)) = (e23)) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> ((e22) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> ((op2 (e20) (e21)) = (e21)) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> (((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e21)) = (e22))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e21) (e20)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/((op2 (e21) (e23)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> ((e20) = (op2 (e21) (e21))) -> ((e23) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> ((op2 (e23) (e22)) = (e23)) -> ((op2 (e22) (op2 (e22) (e23))) = (e23)) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> False).
% 54.73/54.90 do 0 intro. intros zenon_H3ee zenon_Hf6 zenon_H37d zenon_H3c5 zenon_H3f zenon_H60 zenon_H282 zenon_Hb9 zenon_H39d zenon_H3b1 zenon_Hfc zenon_H399 zenon_H45 zenon_H116 zenon_H33 zenon_H3b zenon_H38f zenon_Hfb zenon_H3c6 zenon_H394.
% 54.73/54.90 apply (zenon_or_s _ _ zenon_H3ee); [ zenon_intro zenon_H118 | zenon_intro zenon_H3ef ].
% 54.73/54.90 apply (zenon_L369_); trivial.
% 54.73/54.90 apply (zenon_or_s _ _ zenon_H3ef); [ zenon_intro zenon_H3c7 | zenon_intro zenon_H3f0 ].
% 54.73/54.90 apply (zenon_L355_); trivial.
% 54.73/54.90 apply (zenon_or_s _ _ zenon_H3f0); [ zenon_intro zenon_He2 | zenon_intro zenon_Heb ].
% 54.73/54.90 apply (zenon_L370_); trivial.
% 54.73/54.90 apply (zenon_L372_); trivial.
% 54.73/54.90 (* end of lemma zenon_L373_ *)
% 54.73/54.90 assert (zenon_L374_ : (((op2 (e22) (e20)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e22) (e23)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> ((op2 (e22) (op2 (e22) (e21))) = (e21)) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e21)) = (e22))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> ((op2 (e20) (e21)) = (e21)) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> ((e22) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> (((op2 (e22) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e22) (e23)) = (e23))))) -> (((op2 (e21) (e20)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/((op2 (e21) (e23)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> ((e20) = (op2 (e21) (e21))) -> ((e23) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> ((op2 (e23) (e22)) = (e23)) -> ((op2 (e22) (op2 (e22) (e23))) = (e23)) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> False).
% 54.73/54.90 do 0 intro. intros zenon_H3f1 zenon_H11f zenon_H3ce zenon_H3d9 zenon_H3e4 zenon_Hfc zenon_H3b1 zenon_H39d zenon_Hb9 zenon_H282 zenon_H60 zenon_H3f zenon_H3c5 zenon_H37d zenon_H3ee zenon_H399 zenon_H45 zenon_H116 zenon_H33 zenon_H3b zenon_H38f zenon_Hfb zenon_H3c6 zenon_H394.
% 54.73/54.90 apply (zenon_or_s _ _ zenon_H3f1); [ zenon_intro zenon_H3df | zenon_intro zenon_H3f2 ].
% 54.73/54.90 apply (zenon_L364_); trivial.
% 54.73/54.90 apply (zenon_or_s _ _ zenon_H3f2); [ zenon_intro zenon_H3ba | zenon_intro zenon_H3f3 ].
% 54.73/54.90 apply (zenon_L367_); trivial.
% 54.73/54.90 apply (zenon_or_s _ _ zenon_H3f3); [ zenon_intro zenon_Hf6 | zenon_intro zenon_Heb ].
% 54.73/54.90 apply (zenon_L373_); trivial.
% 54.73/54.90 apply (zenon_L372_); trivial.
% 54.73/54.90 (* end of lemma zenon_L374_ *)
% 54.73/54.90 assert (zenon_L375_ : (((op2 (e23) (e22)) = (e20))\/(((op2 (e23) (e22)) = (e21))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e22)) = (e23))))) -> ((op2 (e20) (e22)) = (e20)) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> ((op2 (e23) (e23)) = (e21)) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (~((op2 (e21) (e21)) = (op2 (e22) (e21)))) -> (((op2 (e22) (e21)) = (e20))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e22) (e21)) = (e23))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (((op2 (e22) (e20)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e22) (e23)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> ((op2 (e22) (op2 (e22) (e21))) = (e21)) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e21)) = (e22))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> ((op2 (e20) (e21)) = (e21)) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> ((e22) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> (((op2 (e22) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e22) (e23)) = (e23))))) -> (((op2 (e21) (e20)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/((op2 (e21) (e23)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> ((e20) = (op2 (e21) (e21))) -> ((e23) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> ((op2 (e22) (op2 (e22) (e23))) = (e23)) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> False).
% 54.73/54.90 do 0 intro. intros zenon_H3f4 zenon_H57 zenon_H3cb zenon_H386 zenon_H286 zenon_H110 zenon_H3dc zenon_H67 zenon_H3f1 zenon_H11f zenon_H3ce zenon_H3d9 zenon_H3e4 zenon_Hfc zenon_H3b1 zenon_H39d zenon_Hb9 zenon_H282 zenon_H60 zenon_H3f zenon_H3c5 zenon_H37d zenon_H3ee zenon_H399 zenon_H45 zenon_H116 zenon_H33 zenon_H3b zenon_H38f zenon_H3c6 zenon_H394.
% 54.73/54.90 apply (zenon_or_s _ _ zenon_H3f4); [ zenon_intro zenon_H81 | zenon_intro zenon_H3f5 ].
% 54.73/54.90 apply (zenon_L357_); trivial.
% 54.73/54.90 apply (zenon_or_s _ _ zenon_H3f5); [ zenon_intro zenon_H3d1 | zenon_intro zenon_H3f6 ].
% 54.73/54.90 apply (zenon_L363_); trivial.
% 54.73/54.90 apply (zenon_or_s _ _ zenon_H3f6); [ zenon_intro zenon_H66 | zenon_intro zenon_Hfb ].
% 54.73/54.90 apply (zenon_L16_); trivial.
% 54.73/54.90 apply (zenon_L374_); trivial.
% 54.73/54.90 (* end of lemma zenon_L375_ *)
% 54.73/54.90 assert (zenon_L376_ : (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> ((op2 (e21) (e20)) = (e21)) -> (~((op2 (e21) (e20)) = (op2 (e21) (e23)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> ((op2 (e22) (e21)) = (e22)) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> (((op2 (e20) (e21)) = (e20))\/(((op2 (e20) (e21)) = (e21))\/(((op2 (e20) (e21)) = (e22))\/((op2 (e20) (e21)) = (e23))))) -> (((op2 (e23) (e22)) = (e20))\/(((op2 (e23) (e22)) = (e21))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e22)) = (e23))))) -> ((op2 (e20) (e22)) = (e20)) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (~((op2 (e21) (e21)) = (op2 (e22) (e21)))) -> (((op2 (e22) (e21)) = (e20))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e22) (e21)) = (e23))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (((op2 (e22) (e20)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e22) (e23)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> ((op2 (e22) (op2 (e22) (e21))) = (e21)) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e21)) = (e22))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> ((op2 (e20) (e21)) = (e21)) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> ((e22) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> (((op2 (e22) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e22) (e23)) = (e23))))) -> (((op2 (e21) (e20)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/((op2 (e21) (e23)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> ((e20) = (op2 (e21) (e21))) -> ((e23) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> ((op2 (e22) (op2 (e22) (e23))) = (e23)) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> False).
% 54.73/54.90 do 0 intro. intros zenon_H3c2 zenon_H4e zenon_Hca zenon_H93 zenon_Hd3 zenon_H8d zenon_H289 zenon_H3f4 zenon_H57 zenon_H3cb zenon_H286 zenon_H110 zenon_H3dc zenon_H67 zenon_H3f1 zenon_H11f zenon_H3ce zenon_H3d9 zenon_H3e4 zenon_Hfc zenon_H3b1 zenon_H39d zenon_Hb9 zenon_H282 zenon_H60 zenon_H3f zenon_H3c5 zenon_H37d zenon_H3ee zenon_H399 zenon_H45 zenon_H116 zenon_H33 zenon_H3b zenon_H38f zenon_H3c6 zenon_H394.
% 54.73/54.90 apply (zenon_or_s _ _ zenon_H3e4); [ zenon_intro zenon_H3c3 | zenon_intro zenon_H3e5 ].
% 54.73/54.90 apply (zenon_L353_); trivial.
% 54.73/54.90 apply (zenon_or_s _ _ zenon_H3e5); [ zenon_intro zenon_Hcb | zenon_intro zenon_H3e6 ].
% 54.73/54.90 apply (zenon_L36_); trivial.
% 54.73/54.90 apply (zenon_or_s _ _ zenon_H3e6); [ zenon_intro zenon_H3c7 | zenon_intro zenon_H386 ].
% 54.73/54.90 apply (zenon_L356_); trivial.
% 54.73/54.90 apply (zenon_L375_); trivial.
% 54.73/54.90 (* end of lemma zenon_L376_ *)
% 54.73/54.90 assert (zenon_L377_ : (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> ((e22) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e23)))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> (((op2 (e20) (e21)) = (e20))\/(((op2 (e20) (e21)) = (e21))\/(((op2 (e20) (e21)) = (e22))\/((op2 (e20) (e21)) = (e23))))) -> (((op2 (e23) (e22)) = (e20))\/(((op2 (e23) (e22)) = (e21))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e22)) = (e23))))) -> ((op2 (e20) (e22)) = (e20)) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e21) (e21)) = (op2 (e22) (e21)))) -> (((op2 (e22) (e21)) = (e20))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e22) (e21)) = (e23))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (((op2 (e22) (e20)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e22) (e23)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> ((op2 (e22) (op2 (e22) (e21))) = (e21)) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e21)) = (e22))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> (((op2 (e22) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e22) (e23)) = (e23))))) -> (((op2 (e21) (e20)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/((op2 (e21) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> ((op2 (e22) (op2 (e22) (e23))) = (e23)) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> (((op2 (e21) (e20)) = (e20))\/(((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e20)) = (e22))\/((op2 (e21) (e20)) = (e23))))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> ((op2 (e22) (e21)) = (e22)) -> ((e23) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((e20) = (op2 (e21) (e21))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> False).
% 54.73/54.90 do 0 intro. intros zenon_H45 zenon_H3e zenon_H3f zenon_H3c2 zenon_Hca zenon_H8d zenon_H289 zenon_H3f4 zenon_H57 zenon_H3cb zenon_H110 zenon_H3dc zenon_H67 zenon_H3f1 zenon_H11f zenon_H3ce zenon_H3d9 zenon_H3e4 zenon_Hfc zenon_H3b1 zenon_H39d zenon_H282 zenon_H60 zenon_H3c5 zenon_H37d zenon_H3ee zenon_H399 zenon_H116 zenon_H38f zenon_H3c6 zenon_H394 zenon_H32 zenon_H4a zenon_H286 zenon_Hd3 zenon_H3b zenon_H33 zenon_H93.
% 54.73/54.90 apply (zenon_or_s _ _ zenon_H289); [ zenon_intro zenon_H51 | zenon_intro zenon_H28a ].
% 54.73/54.90 apply (zenon_L24_); trivial.
% 54.73/54.90 apply (zenon_or_s _ _ zenon_H28a); [ zenon_intro zenon_Hb9 | zenon_intro zenon_H28b ].
% 54.73/54.90 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H34 | zenon_intro zenon_H4c ].
% 54.73/54.90 apply (zenon_L6_); trivial.
% 54.73/54.90 apply (zenon_or_s _ _ zenon_H4c); [ zenon_intro zenon_H4e | zenon_intro zenon_H4d ].
% 54.73/54.90 apply (zenon_L376_); trivial.
% 54.73/54.90 apply (zenon_or_s _ _ zenon_H4d); [ zenon_intro zenon_H40 | zenon_intro zenon_H44 ].
% 54.73/54.90 apply (zenon_L8_); trivial.
% 54.73/54.90 apply (zenon_L10_); trivial.
% 54.73/54.90 apply (zenon_or_s _ _ zenon_H28b); [ zenon_intro zenon_H285 | zenon_intro zenon_H92 ].
% 54.73/54.90 apply (zenon_L136_); trivial.
% 54.73/54.90 apply (zenon_L25_); trivial.
% 54.73/54.90 (* end of lemma zenon_L377_ *)
% 54.73/54.90 assert (zenon_L378_ : (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> ((e20) = (op2 (e21) (e21))) -> ((e23) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (((op2 (e21) (e20)) = (e20))\/(((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e20)) = (e22))\/((op2 (e21) (e20)) = (e23))))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> ((op2 (e22) (op2 (e22) (e23))) = (e23)) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e21) (e20)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/((op2 (e21) (e23)) = (e23))))) -> (((op2 (e22) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e22) (e23)) = (e23))))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> (((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e21)) = (e22))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e20) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> ((op2 (e22) (op2 (e22) (e21))) = (e21)) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> (((op2 (e22) (e20)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e22) (e23)) = (e23))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (((op2 (e22) (e21)) = (e20))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e22) (e21)) = (e23))))) -> (~((op2 (e21) (e21)) = (op2 (e22) (e21)))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> ((op2 (e20) (e22)) = (e20)) -> (((op2 (e23) (e22)) = (e20))\/(((op2 (e23) (e22)) = (e21))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e22)) = (e23))))) -> (((op2 (e20) (e21)) = (e20))\/(((op2 (e20) (e21)) = (e21))\/(((op2 (e20) (e21)) = (e22))\/((op2 (e20) (e21)) = (e23))))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e23)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> ((e22) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (~((op2 (e22) (e22)) = (e22))) -> (~((op2 (e22) (e23)) = (e22))) -> False).
% 54.73/54.90 do 0 intro. intros zenon_Hf1 zenon_Hb0 zenon_H93 zenon_H33 zenon_H3b zenon_H286 zenon_H4a zenon_H32 zenon_H394 zenon_H3c6 zenon_H38f zenon_H116 zenon_H399 zenon_H3ee zenon_H37d zenon_H3c5 zenon_H60 zenon_H282 zenon_H39d zenon_H3b1 zenon_Hfc zenon_H3e4 zenon_H3d9 zenon_H3ce zenon_H11f zenon_H3f1 zenon_H67 zenon_H3dc zenon_H110 zenon_H3cb zenon_H57 zenon_H3f4 zenon_H289 zenon_H8d zenon_Hca zenon_H3c2 zenon_H3f zenon_H3e zenon_H45 zenon_Hd7 zenon_H281.
% 54.73/54.90 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_Hb1 | zenon_intro zenon_Hf3 ].
% 54.73/54.90 apply (zenon_L30_); trivial.
% 54.73/54.90 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_Hd3 | zenon_intro zenon_Hf4 ].
% 54.73/54.90 apply (zenon_L377_); trivial.
% 54.73/54.90 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_Hd6 | zenon_intro zenon_He2 ].
% 54.73/54.90 exact (zenon_Hd7 zenon_Hd6).
% 54.73/54.90 exact (zenon_H281 zenon_He2).
% 54.73/54.90 (* end of lemma zenon_L378_ *)
% 54.73/54.90 assert (zenon_L379_ : (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> ((op2 (e22) (op2 (e22) (e22))) = (e22)) -> ((op2 (e22) (e22)) = (e20)) -> ((op2 (e23) (e20)) = (e22)) -> False).
% 54.73/54.90 do 0 intro. intros zenon_Hb0 zenon_H3f7 zenon_H88 zenon_H58.
% 54.73/54.90 cut (((op2 (e22) (op2 (e22) (e22))) = (e22)) = ((op2 (e22) (e20)) = (op2 (e23) (e20)))).
% 54.73/54.90 intro zenon_D_pnotp.
% 54.73/54.90 apply zenon_Hb0.
% 54.73/54.90 rewrite <- zenon_D_pnotp.
% 54.73/54.90 exact zenon_H3f7.
% 54.73/54.90 cut (((e22) = (op2 (e23) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H59].
% 54.73/54.90 cut (((op2 (e22) (op2 (e22) (e22))) = (op2 (e22) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H3f8].
% 54.73/54.90 congruence.
% 54.73/54.90 elim (classic ((op2 (e22) (e20)) = (op2 (e22) (e20)))); [ zenon_intro zenon_Hb3 | zenon_intro zenon_Hb4 ].
% 54.73/54.90 cut (((op2 (e22) (e20)) = (op2 (e22) (e20))) = ((op2 (e22) (op2 (e22) (e22))) = (op2 (e22) (e20)))).
% 54.73/54.90 intro zenon_D_pnotp.
% 54.73/54.90 apply zenon_H3f8.
% 54.73/54.90 rewrite <- zenon_D_pnotp.
% 54.73/54.90 exact zenon_Hb3.
% 54.73/54.90 cut (((op2 (e22) (e20)) = (op2 (e22) (e20)))); [idtac | apply NNPP; zenon_intro zenon_Hb4].
% 54.73/54.90 cut (((op2 (e22) (e20)) = (op2 (e22) (op2 (e22) (e22))))); [idtac | apply NNPP; zenon_intro zenon_H3f9].
% 54.73/54.90 congruence.
% 54.73/54.90 cut (((e20) = (op2 (e22) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H37e].
% 54.73/54.90 cut (((e22) = (e22))); [idtac | apply NNPP; zenon_intro zenon_Hea].
% 54.73/54.90 congruence.
% 54.73/54.90 apply zenon_Hea. apply refl_equal.
% 54.73/54.90 apply zenon_H37e. apply sym_equal. exact zenon_H88.
% 54.73/54.90 apply zenon_Hb4. apply refl_equal.
% 54.73/54.90 apply zenon_Hb4. apply refl_equal.
% 54.73/54.90 apply zenon_H59. apply sym_equal. exact zenon_H58.
% 54.73/54.90 (* end of lemma zenon_L379_ *)
% 54.73/54.90 assert (zenon_L380_ : (~((op2 (e22) (e21)) = (op2 (e22) (op2 (e22) (e22))))) -> ((op2 (e22) (e22)) = (e21)) -> False).
% 54.73/54.90 do 0 intro. intros zenon_H3fa zenon_H104.
% 54.73/54.90 cut (((e21) = (op2 (e22) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H3fb].
% 54.73/54.90 cut (((e22) = (e22))); [idtac | apply NNPP; zenon_intro zenon_Hea].
% 54.73/54.90 congruence.
% 54.73/54.90 apply zenon_Hea. apply refl_equal.
% 54.73/54.90 apply zenon_H3fb. apply sym_equal. exact zenon_H104.
% 54.73/54.90 (* end of lemma zenon_L380_ *)
% 54.73/54.90 assert (zenon_L381_ : ((op2 (e22) (op2 (e22) (e22))) = (e22)) -> ((op2 (e22) (e22)) = (e21)) -> ((op2 (e20) (e21)) = (e22)) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> False).
% 54.73/54.90 do 0 intro. intros zenon_H3f7 zenon_H104 zenon_H285 zenon_H286.
% 54.73/54.90 elim (classic ((op2 (e22) (e21)) = (op2 (e22) (e21)))); [ zenon_intro zenon_H111 | zenon_intro zenon_H112 ].
% 54.73/54.90 cut (((op2 (e22) (e21)) = (op2 (e22) (e21))) = ((op2 (e20) (e21)) = (op2 (e22) (e21)))).
% 54.73/54.90 intro zenon_D_pnotp.
% 54.73/54.90 apply zenon_H286.
% 54.73/54.90 rewrite <- zenon_D_pnotp.
% 54.73/54.90 exact zenon_H111.
% 54.73/54.90 cut (((op2 (e22) (e21)) = (op2 (e22) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H112].
% 54.73/54.90 cut (((op2 (e22) (e21)) = (op2 (e20) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H287].
% 54.73/54.90 congruence.
% 54.73/54.90 cut (((op2 (e22) (op2 (e22) (e22))) = (e22)) = ((op2 (e22) (e21)) = (op2 (e20) (e21)))).
% 54.73/54.90 intro zenon_D_pnotp.
% 54.73/54.90 apply zenon_H287.
% 54.73/54.90 rewrite <- zenon_D_pnotp.
% 54.73/54.90 exact zenon_H3f7.
% 54.73/54.90 cut (((e22) = (op2 (e20) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H288].
% 54.73/54.90 cut (((op2 (e22) (op2 (e22) (e22))) = (op2 (e22) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H3fc].
% 54.73/54.90 congruence.
% 54.73/54.90 elim (classic ((op2 (e22) (e21)) = (op2 (e22) (e21)))); [ zenon_intro zenon_H111 | zenon_intro zenon_H112 ].
% 54.73/54.90 cut (((op2 (e22) (e21)) = (op2 (e22) (e21))) = ((op2 (e22) (op2 (e22) (e22))) = (op2 (e22) (e21)))).
% 54.73/54.90 intro zenon_D_pnotp.
% 54.73/54.90 apply zenon_H3fc.
% 54.73/54.90 rewrite <- zenon_D_pnotp.
% 54.73/54.90 exact zenon_H111.
% 54.73/54.90 cut (((op2 (e22) (e21)) = (op2 (e22) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H112].
% 54.73/54.90 cut (((op2 (e22) (e21)) = (op2 (e22) (op2 (e22) (e22))))); [idtac | apply NNPP; zenon_intro zenon_H3fa].
% 54.73/54.90 congruence.
% 54.73/54.90 apply (zenon_L380_); trivial.
% 54.73/54.90 apply zenon_H112. apply refl_equal.
% 54.73/54.90 apply zenon_H112. apply refl_equal.
% 54.73/54.90 apply zenon_H288. apply sym_equal. exact zenon_H285.
% 54.73/54.90 apply zenon_H112. apply refl_equal.
% 54.73/54.90 apply zenon_H112. apply refl_equal.
% 54.73/54.90 (* end of lemma zenon_L381_ *)
% 54.73/54.90 assert (zenon_L382_ : (((op2 (e22) (e22)) = (e20))\/(((op2 (e22) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e22)) = (e23))))) -> ((op2 (e23) (e20)) = (e22)) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> ((op2 (e20) (e21)) = (e22)) -> ((op2 (e22) (op2 (e22) (e22))) = (e22)) -> (~((op2 (e22) (e22)) = (e22))) -> (~((op2 (e22) (e22)) = (e23))) -> False).
% 54.73/54.90 do 0 intro. intros zenon_H100 zenon_H58 zenon_Hb0 zenon_H286 zenon_H285 zenon_H3f7 zenon_Hd7 zenon_H37f.
% 54.73/54.90 apply (zenon_or_s _ _ zenon_H100); [ zenon_intro zenon_H88 | zenon_intro zenon_H102 ].
% 54.73/54.90 apply (zenon_L379_); trivial.
% 54.73/54.90 apply (zenon_or_s _ _ zenon_H102); [ zenon_intro zenon_H104 | zenon_intro zenon_H103 ].
% 54.73/54.90 apply (zenon_L381_); trivial.
% 54.73/54.90 apply (zenon_or_s _ _ zenon_H103); [ zenon_intro zenon_Hd6 | zenon_intro zenon_Hf6 ].
% 54.73/54.90 exact (zenon_Hd7 zenon_Hd6).
% 54.73/54.90 exact (zenon_H37f zenon_Hf6).
% 54.73/54.90 (* end of lemma zenon_L382_ *)
% 54.73/54.90 assert (zenon_L383_ : ((~((op2 (e22) (e23)) = (e22)))\/(~((op2 (e22) (e22)) = (e23)))) -> ((op2 (e22) (e20)) = (e20)) -> (~((op2 (e22) (e22)) = (e21))) -> (((op2 (e22) (e22)) = (e20))\/(((op2 (e22) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e22)) = (e23))))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> ((e22) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> ((e23) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((e20) = (op2 (e21) (e21))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> ((op2 (e20) (e22)) = (e20)) -> (((op2 (e22) (e21)) = (e20))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e22) (e21)) = (e23))))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> ((op2 (e22) (op2 (e22) (e21))) = (e21)) -> (~((op2 (e21) (e21)) = (op2 (e22) (e21)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (((op2 (e22) (e20)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e22) (e23)) = (e23))))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> (((op2 (e21) (e20)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/((op2 (e21) (e23)) = (e23))))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (((op2 (e22) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e22) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e20) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> (((op2 (e23) (e22)) = (e20))\/(((op2 (e23) (e22)) = (e21))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e22)) = (e23))))) -> (((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e21)) = (e22))\/((op2 (e23) (e21)) = (e23))))) -> ((op2 (e22) (op2 (e22) (e23))) = (e23)) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e23)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> (((op2 (e20) (e21)) = (e20))\/(((op2 (e20) (e21)) = (e21))\/(((op2 (e20) (e21)) = (e22))\/((op2 (e20) (e21)) = (e23))))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> (((op2 (e21) (e20)) = (e20))\/(((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e20)) = (e22))\/((op2 (e21) (e20)) = (e23))))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> (~((op2 (e22) (e22)) = (e22))) -> (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> False).
% 54.73/54.90 do 0 intro. intros zenon_Hdf zenon_H121 zenon_H101 zenon_H100 zenon_Hb0 zenon_H3f zenon_H3b zenon_H33 zenon_H32 zenon_H3cb zenon_H57 zenon_H3dc zenon_H3d9 zenon_Hfc zenon_H3ce zenon_H110 zenon_H67 zenon_H3f1 zenon_H37d zenon_H399 zenon_H38f zenon_H45 zenon_H3ee zenon_H116 zenon_H394 zenon_H3e4 zenon_H11f zenon_H3f4 zenon_H3b1 zenon_H3c6 zenon_H3c5 zenon_H60 zenon_H282 zenon_H39d zenon_Hca zenon_H3c2 zenon_H286 zenon_H93 zenon_H289 zenon_H3e zenon_H4a zenon_H8d zenon_Hd7 zenon_Hf1.
% 54.73/54.90 apply (zenon_or_s _ _ zenon_Hdf); [ zenon_intro zenon_H281 | zenon_intro zenon_H37f ].
% 54.73/54.90 apply (zenon_L378_); trivial.
% 54.73/54.90 apply (zenon_L310_); trivial.
% 54.73/54.90 (* end of lemma zenon_L383_ *)
% 54.73/54.90 assert (zenon_L384_ : ((~((op2 (e22) (e21)) = (e22)))\/(~((op2 (e22) (e22)) = (e21)))) -> ((op2 (e22) (e20)) = (e20)) -> (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> (~((op2 (e22) (e22)) = (e22))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> (((op2 (e21) (e20)) = (e20))\/(((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e20)) = (e22))\/((op2 (e21) (e20)) = (e23))))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> (((op2 (e20) (e21)) = (e20))\/(((op2 (e20) (e21)) = (e21))\/(((op2 (e20) (e21)) = (e22))\/((op2 (e20) (e21)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e23)))) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> ((op2 (e22) (op2 (e22) (e23))) = (e23)) -> (((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e21)) = (e22))\/((op2 (e23) (e21)) = (e23))))) -> (((op2 (e23) (e22)) = (e20))\/(((op2 (e23) (e22)) = (e21))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e22)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> (((op2 (e20) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e22) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e22) (e23)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e21) (e20)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/((op2 (e21) (e23)) = (e23))))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> (((op2 (e22) (e20)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e22) (e23)) = (e23))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (~((op2 (e21) (e21)) = (op2 (e22) (e21)))) -> ((op2 (e22) (op2 (e22) (e21))) = (e21)) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e22) (e21)) = (e20))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e22) (e21)) = (e23))))) -> ((op2 (e20) (e22)) = (e20)) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> ((e20) = (op2 (e21) (e21))) -> ((e23) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((e22) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> (((op2 (e20) (e21)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e23) (e21)) = (e22))))) -> (~((op2 (e21) (e21)) = (e22))) -> (((op2 (e22) (e22)) = (e20))\/(((op2 (e22) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e22)) = (e23))))) -> ((op2 (e22) (op2 (e22) (e22))) = (e22)) -> (~((op2 (e23) (e23)) = (e22))) -> (((op2 (e23) (e20)) = (e22))\/(((op2 (e23) (e21)) = (e22))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> ((~((op2 (e22) (e23)) = (e22)))\/(~((op2 (e22) (e22)) = (e23)))) -> False).
% 54.73/54.90 do 0 intro. intros zenon_Hde zenon_H121 zenon_Hf1 zenon_Hd7 zenon_H8d zenon_H4a zenon_H3e zenon_H289 zenon_H93 zenon_H286 zenon_H3c2 zenon_Hca zenon_H39d zenon_H282 zenon_H60 zenon_H3c5 zenon_H3c6 zenon_H3b1 zenon_H3f4 zenon_H11f zenon_H3e4 zenon_H394 zenon_H116 zenon_H3ee zenon_H45 zenon_H38f zenon_H399 zenon_H37d zenon_H3f1 zenon_H67 zenon_H110 zenon_H3ce zenon_Hfc zenon_H3d9 zenon_H3dc zenon_H57 zenon_H3cb zenon_H32 zenon_H33 zenon_H3b zenon_H3f zenon_Hb0 zenon_H3fd zenon_H3fe zenon_H100 zenon_H3f7 zenon_H73 zenon_H74 zenon_Hdf.
% 54.73/54.90 apply (zenon_or_s _ _ zenon_Hde); [ zenon_intro zenon_Hf2 | zenon_intro zenon_H101 ].
% 54.73/54.90 apply (zenon_or_s _ _ zenon_Hdf); [ zenon_intro zenon_H281 | zenon_intro zenon_H37f ].
% 54.73/54.90 apply (zenon_L378_); trivial.
% 54.73/54.90 apply (zenon_or_s _ _ zenon_H3fd); [ zenon_intro zenon_H285 | zenon_intro zenon_H3ff ].
% 54.73/54.90 apply (zenon_or_s _ _ zenon_H74); [ zenon_intro zenon_H58 | zenon_intro zenon_H75 ].
% 54.73/54.90 apply (zenon_L382_); trivial.
% 54.73/54.90 apply (zenon_or_s _ _ zenon_H75); [ zenon_intro zenon_H5f | zenon_intro zenon_H76 ].
% 54.73/54.90 apply (zenon_L15_); trivial.
% 54.73/54.90 apply (zenon_or_s _ _ zenon_H76); [ zenon_intro zenon_H66 | zenon_intro zenon_H6d ].
% 54.73/54.90 apply (zenon_L16_); trivial.
% 54.73/54.90 exact (zenon_H73 zenon_H6d).
% 54.73/54.90 apply (zenon_or_s _ _ zenon_H3ff); [ zenon_intro zenon_H401 | zenon_intro zenon_H400 ].
% 54.73/54.90 exact (zenon_H3fe zenon_H401).
% 54.73/54.90 apply (zenon_or_s _ _ zenon_H400); [ zenon_intro zenon_Hd3 | zenon_intro zenon_H5f ].
% 54.73/54.90 exact (zenon_Hf2 zenon_Hd3).
% 54.73/54.90 apply (zenon_L15_); trivial.
% 54.73/54.90 apply (zenon_L383_); trivial.
% 54.73/54.90 (* end of lemma zenon_L384_ *)
% 54.73/54.90 assert (zenon_L385_ : (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> ((e20) = (op2 (e21) (e21))) -> ((op2 (e21) (e21)) = (e23)) -> ((e23) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> (~((op2 (e23) (e23)) = (e23))) -> False).
% 54.73/54.90 do 0 intro. intros zenon_H3b4 zenon_H9f zenon_H3a8 zenon_H116 zenon_H33 zenon_H388 zenon_H3b zenon_H107.
% 54.73/54.90 apply (zenon_or_s _ _ zenon_H3b4); [ zenon_intro zenon_H9e | zenon_intro zenon_H3b5 ].
% 54.73/54.90 apply (zenon_L27_); trivial.
% 54.73/54.90 apply (zenon_or_s _ _ zenon_H3b5); [ zenon_intro zenon_He9 | zenon_intro zenon_H3b6 ].
% 54.73/54.90 apply (zenon_L338_); trivial.
% 54.73/54.90 apply (zenon_or_s _ _ zenon_H3b6); [ zenon_intro zenon_Heb | zenon_intro zenon_H106 ].
% 54.73/54.90 apply (zenon_L323_); trivial.
% 54.73/54.90 exact (zenon_H107 zenon_H106).
% 54.73/54.90 (* end of lemma zenon_L385_ *)
% 54.73/54.90 assert (zenon_L386_ : (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> ((op2 (e22) (op2 (e22) (e20))) = (e20)) -> ((op2 (e22) (e20)) = (e20)) -> ((op2 (e23) (e20)) = (e20)) -> False).
% 54.73/54.90 do 0 intro. intros zenon_Hb0 zenon_H402 zenon_H121 zenon_H80.
% 54.73/54.90 cut (((op2 (e22) (op2 (e22) (e20))) = (e20)) = ((op2 (e22) (e20)) = (op2 (e23) (e20)))).
% 54.73/54.90 intro zenon_D_pnotp.
% 54.73/54.90 apply zenon_Hb0.
% 54.73/54.90 rewrite <- zenon_D_pnotp.
% 54.73/54.90 exact zenon_H402.
% 54.73/54.90 cut (((e20) = (op2 (e23) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H403].
% 54.73/54.90 cut (((op2 (e22) (op2 (e22) (e20))) = (op2 (e22) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H404].
% 54.73/54.90 congruence.
% 54.73/54.90 elim (classic ((op2 (e22) (e20)) = (op2 (e22) (e20)))); [ zenon_intro zenon_Hb3 | zenon_intro zenon_Hb4 ].
% 54.73/54.90 cut (((op2 (e22) (e20)) = (op2 (e22) (e20))) = ((op2 (e22) (op2 (e22) (e20))) = (op2 (e22) (e20)))).
% 54.73/54.90 intro zenon_D_pnotp.
% 54.73/54.90 apply zenon_H404.
% 54.73/54.90 rewrite <- zenon_D_pnotp.
% 54.73/54.90 exact zenon_Hb3.
% 54.73/54.90 cut (((op2 (e22) (e20)) = (op2 (e22) (e20)))); [idtac | apply NNPP; zenon_intro zenon_Hb4].
% 54.73/54.90 cut (((op2 (e22) (e20)) = (op2 (e22) (op2 (e22) (e20))))); [idtac | apply NNPP; zenon_intro zenon_H405].
% 54.73/54.90 congruence.
% 54.73/54.90 cut (((e20) = (op2 (e22) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H122].
% 54.73/54.90 cut (((e22) = (e22))); [idtac | apply NNPP; zenon_intro zenon_Hea].
% 54.73/54.90 congruence.
% 54.73/54.90 apply zenon_Hea. apply refl_equal.
% 54.73/54.90 apply zenon_H122. apply sym_equal. exact zenon_H121.
% 54.73/54.90 apply zenon_Hb4. apply refl_equal.
% 54.73/54.90 apply zenon_Hb4. apply refl_equal.
% 54.73/54.90 apply zenon_H403. apply sym_equal. exact zenon_H80.
% 54.73/54.90 (* end of lemma zenon_L386_ *)
% 54.73/54.90 assert (zenon_L387_ : (((op2 (e23) (e20)) = (e22))\/(((op2 (e23) (e21)) = (e22))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> ((op2 (e22) (e22)) = (e20)) -> ((op2 (e22) (op2 (e22) (e22))) = (e22)) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> ((e23) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((e20) = (op2 (e21) (e21))) -> ((e22) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> (~((op2 (e23) (e23)) = (e22))) -> False).
% 54.73/54.90 do 0 intro. intros zenon_H74 zenon_H88 zenon_H3f7 zenon_Hb0 zenon_H60 zenon_H67 zenon_H3b zenon_H33 zenon_H3f zenon_H73.
% 54.73/54.90 apply (zenon_or_s _ _ zenon_H74); [ zenon_intro zenon_H58 | zenon_intro zenon_H75 ].
% 54.73/54.90 apply (zenon_L379_); trivial.
% 54.73/54.90 apply (zenon_or_s _ _ zenon_H75); [ zenon_intro zenon_H5f | zenon_intro zenon_H76 ].
% 54.73/54.90 apply (zenon_L15_); trivial.
% 54.73/54.90 apply (zenon_or_s _ _ zenon_H76); [ zenon_intro zenon_H66 | zenon_intro zenon_H6d ].
% 54.73/54.90 apply (zenon_L16_); trivial.
% 54.73/54.90 exact (zenon_H73 zenon_H6d).
% 54.73/54.90 (* end of lemma zenon_L387_ *)
% 54.73/54.90 assert (zenon_L388_ : (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> ((op2 (e22) (op2 (e22) (e23))) = (e23)) -> ((op2 (e22) (e23)) = (e20)) -> ((op2 (e22) (e21)) = (e23)) -> False).
% 54.73/54.90 do 0 intro. intros zenon_H406 zenon_H3c6 zenon_H118 zenon_H3ba.
% 54.73/54.90 cut (((op2 (e22) (op2 (e22) (e23))) = (e23)) = ((op2 (e22) (e20)) = (op2 (e22) (e21)))).
% 54.73/54.90 intro zenon_D_pnotp.
% 54.73/54.90 apply zenon_H406.
% 54.73/54.90 rewrite <- zenon_D_pnotp.
% 54.73/54.90 exact zenon_H3c6.
% 54.73/54.91 cut (((e23) = (op2 (e22) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H3bb].
% 54.73/54.91 cut (((op2 (e22) (op2 (e22) (e23))) = (op2 (e22) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H3e8].
% 54.73/54.91 congruence.
% 54.73/54.91 elim (classic ((op2 (e22) (e20)) = (op2 (e22) (e20)))); [ zenon_intro zenon_Hb3 | zenon_intro zenon_Hb4 ].
% 54.73/54.91 cut (((op2 (e22) (e20)) = (op2 (e22) (e20))) = ((op2 (e22) (op2 (e22) (e23))) = (op2 (e22) (e20)))).
% 54.73/54.91 intro zenon_D_pnotp.
% 54.73/54.91 apply zenon_H3e8.
% 54.73/54.91 rewrite <- zenon_D_pnotp.
% 54.73/54.91 exact zenon_Hb3.
% 54.73/54.91 cut (((op2 (e22) (e20)) = (op2 (e22) (e20)))); [idtac | apply NNPP; zenon_intro zenon_Hb4].
% 54.73/54.91 cut (((op2 (e22) (e20)) = (op2 (e22) (op2 (e22) (e23))))); [idtac | apply NNPP; zenon_intro zenon_H3e7].
% 54.73/54.91 congruence.
% 54.73/54.91 apply (zenon_L368_); trivial.
% 54.73/54.91 apply zenon_Hb4. apply refl_equal.
% 54.73/54.91 apply zenon_Hb4. apply refl_equal.
% 54.73/54.91 apply zenon_H3bb. apply sym_equal. exact zenon_H3ba.
% 54.73/54.91 (* end of lemma zenon_L388_ *)
% 54.73/54.91 assert (zenon_L389_ : (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e22) (e23)) = (e20))))) -> ((op2 (e23) (e20)) = (e20)) -> ((op2 (e22) (op2 (e22) (e20))) = (e20)) -> (~((op2 (e21) (e21)) = (op2 (e22) (e21)))) -> (~((op2 (e23) (e23)) = (e22))) -> ((e22) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> ((e20) = (op2 (e21) (e21))) -> ((e23) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> ((op2 (e22) (op2 (e22) (e22))) = (e22)) -> (((op2 (e23) (e20)) = (e22))\/(((op2 (e23) (e21)) = (e22))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> ((op2 (e22) (op2 (e22) (e23))) = (e23)) -> ((op2 (e22) (e21)) = (e23)) -> False).
% 54.73/54.91 do 0 intro. intros zenon_H11e zenon_H80 zenon_H402 zenon_H110 zenon_H73 zenon_H3f zenon_H33 zenon_H3b zenon_H67 zenon_H60 zenon_Hb0 zenon_H3f7 zenon_H74 zenon_H406 zenon_H3c6 zenon_H3ba.
% 54.73/54.91 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_H121 | zenon_intro zenon_H120 ].
% 54.73/54.91 apply (zenon_L386_); trivial.
% 54.73/54.91 apply (zenon_or_s _ _ zenon_H120); [ zenon_intro zenon_H10f | zenon_intro zenon_H126 ].
% 54.73/54.91 apply (zenon_L55_); trivial.
% 54.73/54.91 apply (zenon_or_s _ _ zenon_H126); [ zenon_intro zenon_H88 | zenon_intro zenon_H118 ].
% 54.73/54.91 apply (zenon_L387_); trivial.
% 54.73/54.91 apply (zenon_L388_); trivial.
% 54.73/54.91 (* end of lemma zenon_L389_ *)
% 54.73/54.91 assert (zenon_L390_ : (((op2 (e20) (e21)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> (~((op2 (e23) (e23)) = (e23))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> ((op2 (e22) (op2 (e22) (e23))) = (e23)) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (((op2 (e23) (e20)) = (e22))\/(((op2 (e23) (e21)) = (e22))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> ((op2 (e22) (op2 (e22) (e22))) = (e22)) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> ((e23) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((e20) = (op2 (e21) (e21))) -> ((e22) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> (~((op2 (e23) (e23)) = (e22))) -> (~((op2 (e21) (e21)) = (op2 (e22) (e21)))) -> ((op2 (e22) (op2 (e22) (e20))) = (e20)) -> ((op2 (e23) (e20)) = (e20)) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e22) (e23)) = (e20))))) -> (~((op2 (e23) (e21)) = (e23))) -> False).
% 54.73/54.91 do 0 intro. intros zenon_H3bd zenon_H93 zenon_H107 zenon_H116 zenon_H3a8 zenon_H9f zenon_H3b4 zenon_H3c6 zenon_H406 zenon_H74 zenon_H3f7 zenon_Hb0 zenon_H60 zenon_H67 zenon_H3b zenon_H33 zenon_H3f zenon_H73 zenon_H110 zenon_H402 zenon_H80 zenon_H11e zenon_H39c.
% 54.73/54.91 apply (zenon_or_s _ _ zenon_H3bd); [ zenon_intro zenon_H92 | zenon_intro zenon_H3be ].
% 54.73/54.91 apply (zenon_L25_); trivial.
% 54.73/54.91 apply (zenon_or_s _ _ zenon_H3be); [ zenon_intro zenon_H388 | zenon_intro zenon_H3bf ].
% 54.73/54.91 apply (zenon_L385_); trivial.
% 54.73/54.91 apply (zenon_or_s _ _ zenon_H3bf); [ zenon_intro zenon_H3ba | zenon_intro zenon_He8 ].
% 54.73/54.91 apply (zenon_L389_); trivial.
% 54.73/54.91 exact (zenon_H39c zenon_He8).
% 54.73/54.91 (* end of lemma zenon_L390_ *)
% 54.73/54.91 assert (zenon_L391_ : (((op2 (e23) (e23)) = (e20))\/(((op2 (e23) (e23)) = (e21))\/(((op2 (e23) (e23)) = (e22))\/((op2 (e23) (e23)) = (e23))))) -> ((op2 (e23) (e20)) = (e20)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e23)) = (e21))) -> (~((op2 (e23) (e23)) = (e22))) -> (~((op2 (e23) (e23)) = (e23))) -> False).
% 54.73/54.91 do 0 intro. intros zenon_H382 zenon_H80 zenon_H6e zenon_H383 zenon_H73 zenon_H107.
% 54.73/54.91 apply (zenon_or_s _ _ zenon_H382); [ zenon_intro zenon_H380 | zenon_intro zenon_H384 ].
% 54.73/54.91 apply (zenon_L313_); trivial.
% 54.73/54.91 apply (zenon_or_s _ _ zenon_H384); [ zenon_intro zenon_H386 | zenon_intro zenon_H385 ].
% 54.73/54.91 exact (zenon_H383 zenon_H386).
% 54.73/54.91 apply (zenon_or_s _ _ zenon_H385); [ zenon_intro zenon_H6d | zenon_intro zenon_H106 ].
% 54.73/54.91 exact (zenon_H73 zenon_H6d).
% 54.73/54.91 exact (zenon_H107 zenon_H106).
% 54.73/54.91 (* end of lemma zenon_L391_ *)
% 54.73/54.91 assert (zenon_L392_ : ((~((op2 (e23) (e23)) = (e23)))\/(~((op2 (e23) (e23)) = (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> ((op2 (e23) (e20)) = (e20)) -> (~((op2 (e23) (e23)) = (e21))) -> (~((op2 (e23) (e23)) = (e22))) -> (((op2 (e23) (e23)) = (e20))\/(((op2 (e23) (e23)) = (e21))\/(((op2 (e23) (e23)) = (e22))\/((op2 (e23) (e23)) = (e23))))) -> False).
% 54.73/54.91 do 0 intro. intros zenon_H105 zenon_H6e zenon_H80 zenon_H383 zenon_H73 zenon_H382.
% 54.73/54.91 apply (zenon_or_s _ _ zenon_H105); [ zenon_intro zenon_H107 | zenon_intro zenon_H107 ].
% 54.73/54.91 apply (zenon_L391_); trivial.
% 54.73/54.91 apply (zenon_L391_); trivial.
% 54.73/54.91 (* end of lemma zenon_L392_ *)
% 54.73/54.91 assert (zenon_L393_ : (((op2 (e20) (e23)) = (e20))/\(((op2 (e23) (e20)) = (e20))/\(((~((op2 (e23) (e20)) = (e23)))\/(~((op2 (e23) (e23)) = (e20))))/\(((~((op2 (e23) (e21)) = (e23)))\/(~((op2 (e23) (e23)) = (e21))))/\(((~((op2 (e23) (e22)) = (e23)))\/(~((op2 (e23) (e23)) = (e22))))/\((~((op2 (e23) (e23)) = (e23)))\/(~((op2 (e23) (e23)) = (e23))))))))) -> (((op2 (e23) (e23)) = (e20))\/(((op2 (e23) (e23)) = (e21))\/(((op2 (e23) (e23)) = (e22))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e21)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> ((op2 (e22) (op2 (e22) (e20))) = (e20)) -> (~((op2 (e21) (e21)) = (op2 (e22) (e21)))) -> (((op2 (e23) (e20)) = (e22))\/(((op2 (e23) (e21)) = (e22))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e23) (e23)) = (e22))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> ((e22) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> ((op2 (e22) (op2 (e22) (e22))) = (e22)) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> ((op2 (e22) (op2 (e22) (e23))) = (e23)) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e22) (e23)) = (e20))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> ((e20) = (op2 (e21) (e21))) -> ((e23) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> False).
% 54.73/54.91 do 0 intro. intros zenon_H89 zenon_H382 zenon_H6e zenon_H3bd zenon_Hb0 zenon_H402 zenon_H110 zenon_H74 zenon_H73 zenon_H67 zenon_H3f zenon_H60 zenon_H3f7 zenon_H406 zenon_H3c6 zenon_H11e zenon_H9f zenon_H3a8 zenon_H116 zenon_H3b4 zenon_H33 zenon_H3b zenon_H93.
% 54.73/54.91 apply (zenon_and_s _ _ zenon_H89). zenon_intro zenon_H8b. zenon_intro zenon_H8a.
% 54.73/54.91 apply (zenon_and_s _ _ zenon_H8a). zenon_intro zenon_H80. zenon_intro zenon_H8c.
% 54.73/54.91 apply (zenon_and_s _ _ zenon_H8c). zenon_intro zenon_H10b. zenon_intro zenon_H10a.
% 54.73/54.91 apply (zenon_and_s _ _ zenon_H10a). zenon_intro zenon_H10d. zenon_intro zenon_H10c.
% 54.73/54.91 apply (zenon_and_s _ _ zenon_H10c). zenon_intro zenon_H10e. zenon_intro zenon_H105.
% 54.73/54.91 apply (zenon_or_s _ _ zenon_H10d); [ zenon_intro zenon_H39c | zenon_intro zenon_H383 ].
% 54.73/54.91 apply (zenon_or_s _ _ zenon_H105); [ zenon_intro zenon_H107 | zenon_intro zenon_H107 ].
% 54.73/54.91 apply (zenon_L390_); trivial.
% 54.73/54.91 apply (zenon_L390_); trivial.
% 54.73/54.91 apply (zenon_L392_); trivial.
% 54.73/54.91 (* end of lemma zenon_L393_ *)
% 54.73/54.91 assert (zenon_L394_ : (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> ((op2 (e21) (e20)) = (e21)) -> (~((op2 (e21) (e20)) = (op2 (e21) (e23)))) -> (((op2 (e23) (e22)) = (e20))\/(((op2 (e23) (e22)) = (e21))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e22)) = (e23))))) -> ((op2 (e20) (e22)) = (e20)) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (~((op2 (e21) (e21)) = (op2 (e22) (e21)))) -> (((op2 (e22) (e21)) = (e20))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e22) (e21)) = (e23))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (((op2 (e22) (e20)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e22) (e23)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> ((op2 (e22) (op2 (e22) (e21))) = (e21)) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e21)) = (e22))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> ((op2 (e20) (e21)) = (e21)) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> ((e22) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> (((op2 (e22) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e22) (e23)) = (e23))))) -> (((op2 (e21) (e20)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/((op2 (e21) (e23)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> ((e20) = (op2 (e21) (e21))) -> ((e23) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> ((op2 (e22) (op2 (e22) (e23))) = (e23)) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> False).
% 54.73/54.91 do 0 intro. intros zenon_H3c2 zenon_H4e zenon_Hca zenon_H3f4 zenon_H57 zenon_H3cb zenon_H286 zenon_H110 zenon_H3dc zenon_H67 zenon_H3f1 zenon_H11f zenon_H3ce zenon_H3d9 zenon_H3e4 zenon_Hfc zenon_H3b1 zenon_H39d zenon_Hb9 zenon_H282 zenon_H60 zenon_H3f zenon_H3c5 zenon_H37d zenon_H3ee zenon_H399 zenon_H45 zenon_H116 zenon_H33 zenon_H3b zenon_H38f zenon_H3c6 zenon_H394.
% 54.73/54.91 apply (zenon_or_s _ _ zenon_H3e4); [ zenon_intro zenon_H3c3 | zenon_intro zenon_H3e5 ].
% 54.73/54.91 apply (zenon_L352_); trivial.
% 54.73/54.91 apply (zenon_or_s _ _ zenon_H3e5); [ zenon_intro zenon_Hcb | zenon_intro zenon_H3e6 ].
% 54.73/54.91 apply (zenon_L36_); trivial.
% 54.73/54.91 apply (zenon_or_s _ _ zenon_H3e6); [ zenon_intro zenon_H3c7 | zenon_intro zenon_H386 ].
% 54.73/54.91 apply (zenon_L355_); trivial.
% 54.73/54.91 apply (zenon_L375_); trivial.
% 54.73/54.91 (* end of lemma zenon_L394_ *)
% 54.73/54.91 assert (zenon_L395_ : ((~((op2 (e20) (e23)) = (e20)))\/(~((op2 (e20) (e20)) = (e23)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e22)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e20) (e21)) = (e23))\/(((op2 (e20) (e22)) = (e23))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e20)) = (e20))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> ((e20) = (op2 (e21) (e21))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e22) (e21)) = (e20))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e22) (e21)) = (e23))))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> ((op2 (e22) (op2 (e22) (e21))) = (e21)) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (~((op2 (e21) (e21)) = (op2 (e22) (e21)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (((op2 (e22) (e20)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e22) (e23)) = (e23))))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> (((op2 (e21) (e20)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/((op2 (e21) (e23)) = (e23))))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (((op2 (e22) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e22) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e20) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> (((op2 (e23) (e22)) = (e20))\/(((op2 (e23) (e22)) = (e21))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e22)) = (e23))))) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> ((e22) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> ((e23) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> ((op2 (e22) (op2 (e22) (e23))) = (e23)) -> (((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e21)) = (e22))\/((op2 (e23) (e21)) = (e23))))) -> ((op2 (e21) (e20)) = (e21)) -> (~((op2 (e21) (e20)) = (op2 (e21) (e23)))) -> ((op2 (e20) (e21)) = (e21)) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e20) (e21)) = (e20))\/(((op2 (e20) (e22)) = (e20))\/((op2 (e20) (e23)) = (e20))))) -> False).
% 54.73/54.91 do 0 intro. intros zenon_Haa zenon_H93 zenon_H98 zenon_H9f zenon_Ha5 zenon_H31 zenon_H8d zenon_H33 zenon_H3cb zenon_H3dc zenon_H3d9 zenon_Hfc zenon_H3ce zenon_H286 zenon_H110 zenon_H67 zenon_H3f1 zenon_H37d zenon_H399 zenon_H38f zenon_H45 zenon_H3ee zenon_H116 zenon_H394 zenon_H3e4 zenon_H11f zenon_H3f4 zenon_H39d zenon_H282 zenon_H60 zenon_H3f zenon_H3b zenon_H3c5 zenon_H3c6 zenon_H3b1 zenon_H4e zenon_Hca zenon_Hb9 zenon_H3c2 zenon_Hac.
% 54.73/54.91 apply (zenon_or_s _ _ zenon_Haa); [ zenon_intro zenon_Had | zenon_intro zenon_Ha6 ].
% 54.73/54.91 apply (zenon_or_s _ _ zenon_Hac); [ zenon_intro zenon_H2d | zenon_intro zenon_Hae ].
% 54.73/54.91 exact (zenon_H31 zenon_H2d).
% 54.73/54.91 apply (zenon_or_s _ _ zenon_Hae); [ zenon_intro zenon_H51 | zenon_intro zenon_Haf ].
% 54.73/54.91 apply (zenon_L24_); trivial.
% 54.73/54.91 apply (zenon_or_s _ _ zenon_Haf); [ zenon_intro zenon_H57 | zenon_intro zenon_H8b ].
% 54.73/54.91 apply (zenon_L394_); trivial.
% 54.73/54.91 exact (zenon_Had zenon_H8b).
% 54.73/54.91 apply (zenon_L28_); trivial.
% 54.73/54.91 (* end of lemma zenon_L395_ *)
% 54.73/54.91 assert (zenon_L396_ : (((op2 (e23) (e22)) = (e23))/\(((op2 (e22) (e23)) = (e23))/\(((~((op2 (e22) (e20)) = (e22)))\/(~((op2 (e22) (e22)) = (e20))))/\(((~((op2 (e22) (e21)) = (e22)))\/(~((op2 (e22) (e22)) = (e21))))/\(((~((op2 (e22) (e22)) = (e22)))\/(~((op2 (e22) (e22)) = (e22))))/\((~((op2 (e22) (e23)) = (e22)))\/(~((op2 (e22) (e22)) = (e23))))))))) -> (((op2 (e21) (e20)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/((op2 (e21) (e23)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> ((e20) = (op2 (e21) (e21))) -> ((e23) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> ((op2 (e22) (op2 (e22) (e23))) = (e23)) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> False).
% 54.73/54.91 do 0 intro. intros zenon_H142 zenon_H399 zenon_H45 zenon_H116 zenon_H33 zenon_H3b zenon_H38f zenon_H3c6 zenon_H394.
% 54.73/54.91 apply (zenon_and_s _ _ zenon_H142). zenon_intro zenon_Hfb. zenon_intro zenon_H143.
% 54.73/54.91 apply (zenon_and_s _ _ zenon_H143). zenon_intro zenon_Heb. zenon_intro zenon_Hda.
% 54.73/54.91 apply (zenon_L372_); trivial.
% 54.73/54.91 (* end of lemma zenon_L396_ *)
% 54.73/54.91 assert (zenon_L397_ : (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> ((e23) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((e20) = (op2 (e21) (e21))) -> ((e22) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e22) (e21)) = (e22))) -> (~((op2 (e22) (e22)) = (e22))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> ((op2 (e22) (op2 (e22) (e23))) = (e23)) -> ((op2 (e23) (e22)) = (e23)) -> False).
% 54.73/54.91 do 0 intro. intros zenon_Hf1 zenon_H3b zenon_H33 zenon_H3f zenon_Hb0 zenon_Hf2 zenon_Hd7 zenon_Hfc zenon_H3c6 zenon_Hfb.
% 54.73/54.91 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_Hb1 | zenon_intro zenon_Hf3 ].
% 54.73/54.91 apply (zenon_L30_); trivial.
% 54.73/54.91 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_Hd3 | zenon_intro zenon_Hf4 ].
% 54.73/54.91 exact (zenon_Hf2 zenon_Hd3).
% 54.73/54.91 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_Hd6 | zenon_intro zenon_He2 ].
% 54.73/54.91 exact (zenon_Hd7 zenon_Hd6).
% 54.73/54.91 apply (zenon_L370_); trivial.
% 54.73/54.91 (* end of lemma zenon_L397_ *)
% 54.73/54.91 assert (zenon_L398_ : (((op2 (e22) (e20)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e22) (e23)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> ((op2 (e21) (e21)) = (e21)) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> ((op2 (e22) (e21)) = (e22)) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (((op2 (e22) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e22) (e23)) = (e23))))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> ((e22) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> (((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e21)) = (e22))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> (((op2 (e20) (e21)) = (e20))\/(((op2 (e20) (e21)) = (e21))\/(((op2 (e20) (e21)) = (e22))\/((op2 (e20) (e21)) = (e23))))) -> (((op2 (e21) (e20)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/((op2 (e21) (e23)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> ((e20) = (op2 (e21) (e21))) -> ((e23) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> ((op2 (e23) (e22)) = (e23)) -> ((op2 (e22) (op2 (e22) (e23))) = (e23)) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> False).
% 54.73/54.91 do 0 intro. intros zenon_H3f1 zenon_H11f zenon_Hc3 zenon_H93 zenon_Hd3 zenon_H286 zenon_H3ee zenon_H37d zenon_H3c5 zenon_H3f zenon_H60 zenon_H282 zenon_H39d zenon_H3b1 zenon_Hfc zenon_H8d zenon_H289 zenon_H399 zenon_H45 zenon_H116 zenon_H33 zenon_H3b zenon_H38f zenon_Hfb zenon_H3c6 zenon_H394.
% 54.73/54.91 apply (zenon_or_s _ _ zenon_H3f1); [ zenon_intro zenon_H3df | zenon_intro zenon_H3f2 ].
% 54.73/54.91 apply (zenon_L364_); trivial.
% 54.73/54.91 apply (zenon_or_s _ _ zenon_H3f2); [ zenon_intro zenon_H3ba | zenon_intro zenon_H3f3 ].
% 54.73/54.91 apply (zenon_L345_); trivial.
% 54.73/54.91 apply (zenon_or_s _ _ zenon_H3f3); [ zenon_intro zenon_Hf6 | zenon_intro zenon_Heb ].
% 54.73/54.91 apply (zenon_or_s _ _ zenon_H289); [ zenon_intro zenon_H51 | zenon_intro zenon_H28a ].
% 54.73/54.91 apply (zenon_L24_); trivial.
% 54.73/54.91 apply (zenon_or_s _ _ zenon_H28a); [ zenon_intro zenon_Hb9 | zenon_intro zenon_H28b ].
% 54.73/54.91 apply (zenon_L373_); trivial.
% 54.73/54.91 apply (zenon_or_s _ _ zenon_H28b); [ zenon_intro zenon_H285 | zenon_intro zenon_H92 ].
% 54.73/54.91 apply (zenon_L136_); trivial.
% 54.73/54.91 apply (zenon_L25_); trivial.
% 54.73/54.91 apply (zenon_L372_); trivial.
% 54.73/54.91 (* end of lemma zenon_L398_ *)
% 54.73/54.91 assert (zenon_L399_ : (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> (((op2 (e20) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> ((op2 (e22) (op2 (e22) (e21))) = (e21)) -> (((op2 (e22) (e20)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e22) (e23)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> (((op2 (e22) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e22) (e23)) = (e23))))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> (((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e21)) = (e22))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e21) (e20)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/((op2 (e21) (e23)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> ((op2 (e23) (e22)) = (e23)) -> ((op2 (e22) (op2 (e22) (e23))) = (e23)) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> (~((e21) = (e22))) -> (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> ((e22) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> ((e20) = (op2 (e21) (e21))) -> ((e23) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> (((op2 (e20) (e21)) = (e20))\/(((op2 (e20) (e21)) = (e21))\/(((op2 (e20) (e21)) = (e22))\/((op2 (e20) (e21)) = (e23))))) -> (~((op2 (e22) (e22)) = (e22))) -> (~((op2 (e22) (e23)) = (e22))) -> False).
% 54.73/54.91 do 0 intro. intros zenon_H28c zenon_H3e4 zenon_H3d9 zenon_H3ce zenon_H3f1 zenon_H11f zenon_H3ee zenon_H37d zenon_H3c5 zenon_H60 zenon_H39d zenon_H3b1 zenon_Hfc zenon_H399 zenon_H45 zenon_H116 zenon_H38f zenon_Hfb zenon_H3c6 zenon_H394 zenon_H27e zenon_Hf1 zenon_H3f zenon_Hb0 zenon_H93 zenon_H33 zenon_H3b zenon_H286 zenon_H282 zenon_H8d zenon_H289 zenon_Hd7 zenon_H281.
% 54.73/54.91 apply (zenon_or_s _ _ zenon_H28c); [ zenon_intro zenon_Hb9 | zenon_intro zenon_H28e ].
% 54.73/54.91 apply (zenon_L374_); trivial.
% 54.73/54.91 apply (zenon_or_s _ _ zenon_H28e); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H28f ].
% 54.73/54.91 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_Hb1 | zenon_intro zenon_Hf3 ].
% 54.73/54.91 apply (zenon_L30_); trivial.
% 54.73/54.91 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_Hd3 | zenon_intro zenon_Hf4 ].
% 54.73/54.91 apply (zenon_L398_); trivial.
% 54.73/54.91 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_Hd6 | zenon_intro zenon_He2 ].
% 54.73/54.91 exact (zenon_Hd7 zenon_Hd6).
% 54.73/54.91 exact (zenon_H281 zenon_He2).
% 54.73/54.91 apply (zenon_or_s _ _ zenon_H28f); [ zenon_intro zenon_H27f | zenon_intro zenon_H283 ].
% 54.73/54.91 apply (zenon_L134_); trivial.
% 54.73/54.91 apply (zenon_L138_); trivial.
% 54.73/54.91 (* end of lemma zenon_L399_ *)
% 54.73/54.91 assert (zenon_L400_ : (((op2 (e21) (e20)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/((op2 (e21) (e23)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (~((op2 (e23) (e23)) = (e23))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> ((op2 (e23) (e22)) = (e23)) -> (((op2 (e20) (e21)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> ((op2 (e22) (op2 (e22) (e23))) = (e23)) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (((op2 (e23) (e20)) = (e22))\/(((op2 (e23) (e21)) = (e22))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> ((op2 (e22) (op2 (e22) (e22))) = (e22)) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> ((e23) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((e20) = (op2 (e21) (e21))) -> ((e22) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> (~((op2 (e23) (e23)) = (e22))) -> (~((op2 (e21) (e21)) = (op2 (e22) (e21)))) -> ((op2 (e22) (op2 (e22) (e20))) = (e20)) -> ((op2 (e23) (e20)) = (e20)) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e22) (e23)) = (e20))))) -> (~((op2 (e23) (e21)) = (e23))) -> False).
% 54.73/54.91 do 0 intro. intros zenon_H399 zenon_H45 zenon_H107 zenon_H116 zenon_H9f zenon_H3b4 zenon_H38f zenon_Hfb zenon_H3bd zenon_H93 zenon_H3a8 zenon_H3c6 zenon_H406 zenon_H74 zenon_H3f7 zenon_Hb0 zenon_H60 zenon_H67 zenon_H3b zenon_H33 zenon_H3f zenon_H73 zenon_H110 zenon_H402 zenon_H80 zenon_H11e zenon_H39c.
% 54.73/54.91 apply (zenon_or_s _ _ zenon_H399); [ zenon_intro zenon_H44 | zenon_intro zenon_H39a ].
% 54.73/54.91 apply (zenon_L10_); trivial.
% 54.73/54.91 apply (zenon_or_s _ _ zenon_H39a); [ zenon_intro zenon_H388 | zenon_intro zenon_H39b ].
% 54.73/54.91 apply (zenon_L385_); trivial.
% 54.73/54.91 apply (zenon_or_s _ _ zenon_H39b); [ zenon_intro zenon_H38e | zenon_intro zenon_He9 ].
% 54.73/54.91 apply (zenon_L324_); trivial.
% 54.73/54.91 apply (zenon_or_s _ _ zenon_H3bd); [ zenon_intro zenon_H92 | zenon_intro zenon_H3be ].
% 54.73/54.91 apply (zenon_L25_); trivial.
% 54.73/54.91 apply (zenon_or_s _ _ zenon_H3be); [ zenon_intro zenon_H388 | zenon_intro zenon_H3bf ].
% 54.73/54.91 apply (zenon_L338_); trivial.
% 54.73/54.91 apply (zenon_or_s _ _ zenon_H3bf); [ zenon_intro zenon_H3ba | zenon_intro zenon_He8 ].
% 54.73/54.91 apply (zenon_L389_); trivial.
% 54.73/54.91 exact (zenon_H39c zenon_He8).
% 54.73/54.91 (* end of lemma zenon_L400_ *)
% 54.73/54.91 assert (zenon_L401_ : (((op2 (e20) (e23)) = (e20))/\(((op2 (e23) (e20)) = (e20))/\(((~((op2 (e23) (e20)) = (e23)))\/(~((op2 (e23) (e23)) = (e20))))/\(((~((op2 (e23) (e21)) = (e23)))\/(~((op2 (e23) (e23)) = (e21))))/\(((~((op2 (e23) (e22)) = (e23)))\/(~((op2 (e23) (e23)) = (e22))))/\((~((op2 (e23) (e23)) = (e23)))\/(~((op2 (e23) (e23)) = (e23))))))))) -> (((op2 (e23) (e23)) = (e20))\/(((op2 (e23) (e23)) = (e21))\/(((op2 (e23) (e23)) = (e22))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> ((op2 (e23) (e22)) = (e23)) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> ((e23) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((e20) = (op2 (e21) (e21))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e20) (e21)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> ((op2 (e22) (op2 (e22) (e20))) = (e20)) -> (~((op2 (e21) (e21)) = (op2 (e22) (e21)))) -> (((op2 (e23) (e20)) = (e22))\/(((op2 (e23) (e21)) = (e22))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> ((e22) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> ((op2 (e22) (op2 (e22) (e22))) = (e22)) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> ((op2 (e22) (op2 (e22) (e23))) = (e23)) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e22) (e23)) = (e20))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> (((op2 (e21) (e20)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/((op2 (e21) (e23)) = (e23))))) -> False).
% 54.73/54.91 do 0 intro. intros zenon_H89 zenon_H382 zenon_H6e zenon_Hfb zenon_H45 zenon_H3b zenon_H33 zenon_H3b4 zenon_H116 zenon_H3a8 zenon_H9f zenon_H38f zenon_H3bd zenon_Hb0 zenon_H402 zenon_H110 zenon_H74 zenon_H67 zenon_H3f zenon_H60 zenon_H3f7 zenon_H406 zenon_H3c6 zenon_H11e zenon_H93 zenon_H399.
% 54.73/54.91 apply (zenon_and_s _ _ zenon_H89). zenon_intro zenon_H8b. zenon_intro zenon_H8a.
% 54.73/54.91 apply (zenon_and_s _ _ zenon_H8a). zenon_intro zenon_H80. zenon_intro zenon_H8c.
% 54.73/54.91 apply (zenon_and_s _ _ zenon_H8c). zenon_intro zenon_H10b. zenon_intro zenon_H10a.
% 54.73/54.91 apply (zenon_and_s _ _ zenon_H10a). zenon_intro zenon_H10d. zenon_intro zenon_H10c.
% 54.73/54.91 apply (zenon_and_s _ _ zenon_H10c). zenon_intro zenon_H10e. zenon_intro zenon_H105.
% 54.73/54.91 apply (zenon_or_s _ _ zenon_H10d); [ zenon_intro zenon_H39c | zenon_intro zenon_H383 ].
% 54.73/54.91 apply (zenon_or_s _ _ zenon_H10e); [ zenon_intro zenon_Hff | zenon_intro zenon_H73 ].
% 54.73/54.91 exact (zenon_Hff zenon_Hfb).
% 54.73/54.91 apply (zenon_or_s _ _ zenon_H105); [ zenon_intro zenon_H107 | zenon_intro zenon_H107 ].
% 54.73/54.91 apply (zenon_L400_); trivial.
% 54.73/54.91 apply (zenon_L400_); trivial.
% 54.73/54.91 apply (zenon_L315_); trivial.
% 54.73/54.91 (* end of lemma zenon_L401_ *)
% 54.73/54.91 assert (zenon_L402_ : (((op2 (e21) (e23)) = (e21))/\(((op2 (e23) (e21)) = (e21))/\(((~((op2 (e23) (e20)) = (e23)))\/(~((op2 (e23) (e23)) = (e20))))/\(((~((op2 (e23) (e21)) = (e23)))\/(~((op2 (e23) (e23)) = (e21))))/\(((~((op2 (e23) (e22)) = (e23)))\/(~((op2 (e23) (e23)) = (e22))))/\((~((op2 (e23) (e23)) = (e23)))\/(~((op2 (e23) (e23)) = (e23))))))))) -> (((op2 (e20) (e21)) = (e20))\/(((op2 (e20) (e21)) = (e21))\/(((op2 (e20) (e21)) = (e22))\/((op2 (e20) (e21)) = (e23))))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> ((op2 (e22) (e21)) = (e22)) -> ((e23) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((e20) = (op2 (e21) (e21))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> False).
% 54.73/54.91 do 0 intro. intros zenon_Hcd zenon_H289 zenon_H8d zenon_H282 zenon_H286 zenon_Hd3 zenon_H3b zenon_H33 zenon_H93.
% 54.73/54.91 apply (zenon_and_s _ _ zenon_Hcd). zenon_intro zenon_Hcb. zenon_intro zenon_Hce.
% 54.73/54.91 apply (zenon_and_s _ _ zenon_Hce). zenon_intro zenon_H283. zenon_intro zenon_H8c.
% 54.73/54.91 apply (zenon_L137_); trivial.
% 54.73/54.91 (* end of lemma zenon_L402_ *)
% 54.73/54.91 assert (zenon_L403_ : (((op2 (e23) (e22)) = (e23))/\(((op2 (e22) (e23)) = (e23))/\(((~((op2 (e22) (e20)) = (e22)))\/(~((op2 (e22) (e22)) = (e20))))/\(((~((op2 (e22) (e21)) = (e22)))\/(~((op2 (e22) (e22)) = (e21))))/\(((~((op2 (e22) (e22)) = (e22)))\/(~((op2 (e22) (e22)) = (e22))))/\((~((op2 (e22) (e23)) = (e22)))\/(~((op2 (e22) (e22)) = (e23))))))))) -> (((op2 (e21) (e20)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/((op2 (e21) (e23)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> ((e20) = (op2 (e21) (e21))) -> ((e23) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> ((op2 (e22) (op2 (e22) (e23))) = (e23)) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> False).
% 54.73/54.91 do 0 intro. intros zenon_H142 zenon_H399 zenon_H45 zenon_H116 zenon_H33 zenon_H3b zenon_H38f zenon_H3c6 zenon_H394.
% 54.73/54.91 apply (zenon_and_s _ _ zenon_H142). zenon_intro zenon_Hfb. zenon_intro zenon_H143.
% 54.73/54.91 apply (zenon_and_s _ _ zenon_H143). zenon_intro zenon_Heb. zenon_intro zenon_Hda.
% 54.73/54.91 apply (zenon_L372_); trivial.
% 54.73/54.91 (* end of lemma zenon_L403_ *)
% 54.73/54.91 assert (zenon_L404_ : ((((op2 (e20) (e20)) = (e20))/\(((op2 (e20) (e20)) = (e20))/\(((~((op2 (e20) (e20)) = (e20)))\/(~((op2 (e20) (e20)) = (e20))))/\(((~((op2 (e20) (e21)) = (e20)))\/(~((op2 (e20) (e20)) = (e21))))/\(((~((op2 (e20) (e22)) = (e20)))\/(~((op2 (e20) (e20)) = (e22))))/\((~((op2 (e20) (e23)) = (e20)))\/(~((op2 (e20) (e20)) = (e23)))))))))\/((((op2 (e20) (e21)) = (e20))/\(((op2 (e21) (e20)) = (e20))/\(((~((op2 (e21) (e20)) = (e21)))\/(~((op2 (e21) (e21)) = (e20))))/\(((~((op2 (e21) (e21)) = (e21)))\/(~((op2 (e21) (e21)) = (e21))))/\(((~((op2 (e21) (e22)) = (e21)))\/(~((op2 (e21) (e21)) = (e22))))/\((~((op2 (e21) (e23)) = (e21)))\/(~((op2 (e21) (e21)) = (e23)))))))))\/((((op2 (e20) (e22)) = (e20))/\(((op2 (e22) (e20)) = (e20))/\(((~((op2 (e22) (e20)) = (e22)))\/(~((op2 (e22) (e22)) = (e20))))/\(((~((op2 (e22) (e21)) = (e22)))\/(~((op2 (e22) (e22)) = (e21))))/\(((~((op2 (e22) (e22)) = (e22)))\/(~((op2 (e22) (e22)) = (e22))))/\((~((op2 (e22) (e23)) = (e22)))\/(~((op2 (e22) (e22)) = (e23)))))))))\/((((op2 (e20) (e23)) = (e20))/\(((op2 (e23) (e20)) = (e20))/\(((~((op2 (e23) (e20)) = (e23)))\/(~((op2 (e23) (e23)) = (e20))))/\(((~((op2 (e23) (e21)) = (e23)))\/(~((op2 (e23) (e23)) = (e21))))/\(((~((op2 (e23) (e22)) = (e23)))\/(~((op2 (e23) (e23)) = (e22))))/\((~((op2 (e23) (e23)) = (e23)))\/(~((op2 (e23) (e23)) = (e23)))))))))\/((((op2 (e21) (e20)) = (e21))/\(((op2 (e20) (e21)) = (e21))/\(((~((op2 (e20) (e20)) = (e20)))\/(~((op2 (e20) (e20)) = (e20))))/\(((~((op2 (e20) (e21)) = (e20)))\/(~((op2 (e20) (e20)) = (e21))))/\(((~((op2 (e20) (e22)) = (e20)))\/(~((op2 (e20) (e20)) = (e22))))/\((~((op2 (e20) (e23)) = (e20)))\/(~((op2 (e20) (e20)) = (e23)))))))))\/((((op2 (e21) (e21)) = (e21))/\(((op2 (e21) (e21)) = (e21))/\(((~((op2 (e21) (e20)) = (e21)))\/(~((op2 (e21) (e21)) = (e20))))/\(((~((op2 (e21) (e21)) = (e21)))\/(~((op2 (e21) (e21)) = (e21))))/\(((~((op2 (e21) (e22)) = (e21)))\/(~((op2 (e21) (e21)) = (e22))))/\((~((op2 (e21) (e23)) = (e21)))\/(~((op2 (e21) (e21)) = (e23)))))))))\/((((op2 (e21) (e22)) = (e21))/\(((op2 (e22) (e21)) = (e21))/\(((~((op2 (e22) (e20)) = (e22)))\/(~((op2 (e22) (e22)) = (e20))))/\(((~((op2 (e22) (e21)) = (e22)))\/(~((op2 (e22) (e22)) = (e21))))/\(((~((op2 (e22) (e22)) = (e22)))\/(~((op2 (e22) (e22)) = (e22))))/\((~((op2 (e22) (e23)) = (e22)))\/(~((op2 (e22) (e22)) = (e23)))))))))\/((((op2 (e21) (e23)) = (e21))/\(((op2 (e23) (e21)) = (e21))/\(((~((op2 (e23) (e20)) = (e23)))\/(~((op2 (e23) (e23)) = (e20))))/\(((~((op2 (e23) (e21)) = (e23)))\/(~((op2 (e23) (e23)) = (e21))))/\(((~((op2 (e23) (e22)) = (e23)))\/(~((op2 (e23) (e23)) = (e22))))/\((~((op2 (e23) (e23)) = (e23)))\/(~((op2 (e23) (e23)) = (e23)))))))))\/((((op2 (e22) (e20)) = (e22))/\(((op2 (e20) (e22)) = (e22))/\(((~((op2 (e20) (e20)) = (e20)))\/(~((op2 (e20) (e20)) = (e20))))/\(((~((op2 (e20) (e21)) = (e20)))\/(~((op2 (e20) (e20)) = (e21))))/\(((~((op2 (e20) (e22)) = (e20)))\/(~((op2 (e20) (e20)) = (e22))))/\((~((op2 (e20) (e23)) = (e20)))\/(~((op2 (e20) (e20)) = (e23)))))))))\/((((op2 (e22) (e21)) = (e22))/\(((op2 (e21) (e22)) = (e22))/\(((~((op2 (e21) (e20)) = (e21)))\/(~((op2 (e21) (e21)) = (e20))))/\(((~((op2 (e21) (e21)) = (e21)))\/(~((op2 (e21) (e21)) = (e21))))/\(((~((op2 (e21) (e22)) = (e21)))\/(~((op2 (e21) (e21)) = (e22))))/\((~((op2 (e21) (e23)) = (e21)))\/(~((op2 (e21) (e21)) = (e23)))))))))\/((((op2 (e22) (e22)) = (e22))/\(((op2 (e22) (e22)) = (e22))/\(((~((op2 (e22) (e20)) = (e22)))\/(~((op2 (e22) (e22)) = (e20))))/\(((~((op2 (e22) (e21)) = (e22)))\/(~((op2 (e22) (e22)) = (e21))))/\(((~((op2 (e22) (e22)) = (e22)))\/(~((op2 (e22) (e22)) = (e22))))/\((~((op2 (e22) (e23)) = (e22)))\/(~((op2 (e22) (e22)) = (e23)))))))))\/((((op2 (e22) (e23)) = (e22))/\(((op2 (e23) (e22)) = (e22))/\(((~((op2 (e23) (e20)) = (e23)))\/(~((op2 (e23) (e23)) = (e20))))/\(((~((op2 (e23) (e21)) = (e23)))\/(~((op2 (e23) (e23)) = (e21))))/\(((~((op2 (e23) (e22)) = (e23)))\/(~((op2 (e23) (e23)) = (e22))))/\((~((op2 (e23) (e23)) = (e23)))\/(~((op2 (e23) (e23)) = (e23)))))))))\/((((op2 (e23) (e20)) = (e23))/\(((op2 (e20) (e23)) = (e23))/\(((~((op2 (e20) (e20)) = (e20)))\/(~((op2 (e20) (e20)) = (e20))))/\(((~((op2 (e20) (e21)) = (e20)))\/(~((op2 (e20) (e20)) = (e21))))/\(((~((op2 (e20) (e22)) = (e20)))\/(~((op2 (e20) (e20)) = (e22))))/\((~((op2 (e20) (e23)) = (e20)))\/(~((op2 (e20) (e20)) = (e23)))))))))\/((((op2 (e23) (e21)) = (e23))/\(((op2 (e21) (e23)) = (e23))/\(((~((op2 (e21) (e20)) = (e21)))\/(~((op2 (e21) (e21)) = (e20))))/\(((~((op2 (e21) (e21)) = (e21)))\/(~((op2 (e21) (e21)) = (e21))))/\(((~((op2 (e21) (e22)) = (e21)))\/(~((op2 (e21) (e21)) = (e22))))/\((~((op2 (e21) (e23)) = (e21)))\/(~((op2 (e21) (e21)) = (e23)))))))))\/((((op2 (e23) (e22)) = (e23))/\(((op2 (e22) (e23)) = (e23))/\(((~((op2 (e22) (e20)) = (e22)))\/(~((op2 (e22) (e22)) = (e20))))/\(((~((op2 (e22) (e21)) = (e22)))\/(~((op2 (e22) (e22)) = (e21))))/\(((~((op2 (e22) (e22)) = (e22)))\/(~((op2 (e22) (e22)) = (e22))))/\((~((op2 (e22) (e23)) = (e22)))\/(~((op2 (e22) (e22)) = (e23)))))))))\/(((op2 (e23) (e23)) = (e23))/\(((op2 (e23) (e23)) = (e23))/\(((~((op2 (e23) (e20)) = (e23)))\/(~((op2 (e23) (e23)) = (e20))))/\(((~((op2 (e23) (e21)) = (e23)))\/(~((op2 (e23) (e23)) = (e21))))/\(((~((op2 (e23) (e22)) = (e23)))\/(~((op2 (e23) (e23)) = (e22))))/\((~((op2 (e23) (e23)) = (e23)))\/(~((op2 (e23) (e23)) = (e23)))))))))))))))))))))))) -> (((op2 (e22) (e22)) = (e20))\/(((op2 (e22) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e22)) = (e23))))) -> (~((e21) = (e22))) -> (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e22) (e23)) = (e20))))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> ((op2 (e22) (op2 (e22) (e22))) = (e22)) -> (((op2 (e23) (e20)) = (e22))\/(((op2 (e23) (e21)) = (e22))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e21) (e21)) = (op2 (e22) (e21)))) -> ((op2 (e22) (op2 (e22) (e20))) = (e20)) -> (((op2 (e20) (e21)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (((op2 (e23) (e23)) = (e20))\/(((op2 (e23) (e23)) = (e21))\/(((op2 (e23) (e23)) = (e22))\/((op2 (e23) (e23)) = (e23))))) -> (((op2 (e22) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e22) (e23)) = (e23))))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> (((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e21)) = (e22))\/((op2 (e23) (e21)) = (e23))))) -> (((op2 (e20) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> ((op2 (e22) (op2 (e22) (e21))) = (e21)) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> (((op2 (e22) (e20)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e22) (e23)) = (e23))))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> ((op2 (e23) (e22)) = (e23)) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e22) (e22)) = (e22))) -> (((op2 (e20) (e21)) = (e20))\/(((op2 (e20) (e21)) = (e21))\/(((op2 (e20) (e21)) = (e22))\/((op2 (e20) (e21)) = (e23))))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (((op2 (e21) (e20)) = (e20))\/(((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e20)) = (e22))\/((op2 (e21) (e20)) = (e23))))) -> ((e22) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> ((op2 (e22) (op2 (e22) (e23))) = (e23)) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> ((e23) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((e20) = (op2 (e21) (e21))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (((op2 (e21) (e20)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/((op2 (e21) (e23)) = (e23))))) -> False).
% 54.73/54.91 do 0 intro. intros zenon_H128 zenon_H100 zenon_H27e zenon_H28c zenon_H11e zenon_H406 zenon_H3f7 zenon_H74 zenon_H110 zenon_H402 zenon_H3bd zenon_H3a8 zenon_H3b4 zenon_H6e zenon_H382 zenon_H3ee zenon_H37d zenon_H3c5 zenon_H60 zenon_H39d zenon_H3b1 zenon_H3e4 zenon_H3d9 zenon_H3ce zenon_H11f zenon_H3f1 zenon_Hc5 zenon_Hfb zenon_Hfc zenon_Hd7 zenon_H289 zenon_H8d zenon_H282 zenon_H286 zenon_H93 zenon_Hf1 zenon_Hb0 zenon_H67 zenon_H9f zenon_H4a zenon_H3f zenon_H3e zenon_H32 zenon_H394 zenon_H3c6 zenon_H38f zenon_H3b zenon_H33 zenon_H116 zenon_H45 zenon_H399.
% 54.73/54.91 apply (zenon_or_s _ _ zenon_H128); [ zenon_intro zenon_H2b | zenon_intro zenon_H134 ].
% 54.73/54.91 apply (zenon_L5_); trivial.
% 54.73/54.91 apply (zenon_or_s _ _ zenon_H134); [ zenon_intro zenon_H4f | zenon_intro zenon_H135 ].
% 54.73/54.91 apply (zenon_L12_); trivial.
% 54.73/54.91 apply (zenon_or_s _ _ zenon_H135); [ zenon_intro zenon_H77 | zenon_intro zenon_H136 ].
% 54.73/54.91 apply (zenon_and_s _ _ zenon_H77). zenon_intro zenon_H57. zenon_intro zenon_H78.
% 54.73/54.91 apply (zenon_and_s _ _ zenon_H78). zenon_intro zenon_H121. zenon_intro zenon_Hda.
% 54.73/54.91 apply (zenon_and_s _ _ zenon_Hda). zenon_intro zenon_Hdc. zenon_intro zenon_Hdb.
% 54.73/54.91 apply (zenon_and_s _ _ zenon_Hdb). zenon_intro zenon_Hde. zenon_intro zenon_Hdd.
% 54.73/54.91 apply (zenon_and_s _ _ zenon_Hdd). zenon_intro zenon_Hd5. zenon_intro zenon_Hdf.
% 54.73/54.91 apply (zenon_or_s _ _ zenon_Hde); [ zenon_intro zenon_Hf2 | zenon_intro zenon_H101 ].
% 54.73/54.91 apply (zenon_L397_); trivial.
% 54.73/54.91 apply (zenon_or_s _ _ zenon_Hdf); [ zenon_intro zenon_H281 | zenon_intro zenon_H37f ].
% 54.73/54.91 apply (zenon_L399_); trivial.
% 54.73/54.91 apply (zenon_L310_); trivial.
% 54.73/54.91 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_H89 | zenon_intro zenon_H137 ].
% 54.73/54.91 apply (zenon_L401_); trivial.
% 54.73/54.91 apply (zenon_or_s _ _ zenon_H137); [ zenon_intro zenon_Hb6 | zenon_intro zenon_H138 ].
% 54.73/54.91 apply (zenon_and_s _ _ zenon_Hb6). zenon_intro zenon_H4e. zenon_intro zenon_Hb8.
% 54.73/54.91 apply (zenon_and_s _ _ zenon_Hb8). zenon_intro zenon_Hb9. zenon_intro zenon_H2e.
% 54.73/54.91 apply (zenon_L374_); trivial.
% 54.73/54.91 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H139 ].
% 54.73/54.91 apply (zenon_L32_); trivial.
% 54.73/54.91 apply (zenon_or_s _ _ zenon_H139); [ zenon_intro zenon_Hc8 | zenon_intro zenon_H13a ].
% 54.73/54.91 apply (zenon_L35_); trivial.
% 54.73/54.91 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_Hcd | zenon_intro zenon_H13b ].
% 54.73/54.91 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_Hb1 | zenon_intro zenon_Hf3 ].
% 54.73/54.91 apply (zenon_L30_); trivial.
% 54.73/54.91 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_Hd3 | zenon_intro zenon_Hf4 ].
% 54.73/54.91 apply (zenon_L402_); trivial.
% 54.73/54.91 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_Hd6 | zenon_intro zenon_He2 ].
% 54.73/54.91 exact (zenon_Hd7 zenon_Hd6).
% 54.73/54.91 apply (zenon_L370_); trivial.
% 54.73/54.91 apply (zenon_or_s _ _ zenon_H13b); [ zenon_intro zenon_Hcf | zenon_intro zenon_H13c ].
% 54.73/54.91 apply (zenon_L38_); trivial.
% 54.73/54.91 apply (zenon_or_s _ _ zenon_H13c); [ zenon_intro zenon_Hd1 | zenon_intro zenon_H13d ].
% 54.73/54.91 apply (zenon_L39_); trivial.
% 54.73/54.91 apply (zenon_or_s _ _ zenon_H13d); [ zenon_intro zenon_Hd8 | zenon_intro zenon_H13e ].
% 54.73/54.91 apply (zenon_L41_); trivial.
% 54.73/54.91 apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_He0 | zenon_intro zenon_H13f ].
% 54.73/54.91 apply (zenon_L42_); trivial.
% 54.73/54.91 apply (zenon_or_s _ _ zenon_H13f); [ zenon_intro zenon_He3 | zenon_intro zenon_H140 ].
% 54.73/54.91 apply (zenon_L43_); trivial.
% 54.73/54.91 apply (zenon_or_s _ _ zenon_H140); [ zenon_intro zenon_He6 | zenon_intro zenon_H141 ].
% 54.73/54.91 apply (zenon_L44_); trivial.
% 54.73/54.91 apply (zenon_or_s _ _ zenon_H141); [ zenon_intro zenon_H142 | zenon_intro zenon_H108 ].
% 54.73/54.91 apply (zenon_L403_); trivial.
% 54.73/54.91 apply (zenon_L54_); trivial.
% 54.73/54.91 (* end of lemma zenon_L404_ *)
% 54.73/54.91 assert (zenon_L405_ : (((op2 (e20) (e22)) = (e20))/\(((op2 (e22) (e20)) = (e20))/\(((~((op2 (e22) (e20)) = (e22)))\/(~((op2 (e22) (e22)) = (e20))))/\(((~((op2 (e22) (e21)) = (e22)))\/(~((op2 (e22) (e22)) = (e21))))/\(((~((op2 (e22) (e22)) = (e22)))\/(~((op2 (e22) (e22)) = (e22))))/\((~((op2 (e22) (e23)) = (e22)))\/(~((op2 (e22) (e22)) = (e23))))))))) -> ((op2 (e22) (e22)) = (e22)) -> False).
% 54.73/54.91 do 0 intro. intros zenon_H77 zenon_Hd6.
% 54.73/54.91 apply (zenon_and_s _ _ zenon_H77). zenon_intro zenon_H57. zenon_intro zenon_H78.
% 54.73/54.91 apply (zenon_and_s _ _ zenon_H78). zenon_intro zenon_H121. zenon_intro zenon_Hda.
% 54.73/54.91 apply (zenon_and_s _ _ zenon_Hda). zenon_intro zenon_Hdc. zenon_intro zenon_Hdb.
% 54.73/54.91 apply (zenon_and_s _ _ zenon_Hdb). zenon_intro zenon_Hde. zenon_intro zenon_Hdd.
% 54.73/54.91 apply (zenon_and_s _ _ zenon_Hdd). zenon_intro zenon_Hd5. zenon_intro zenon_Hdf.
% 54.73/54.91 apply (zenon_L40_); trivial.
% 54.73/54.91 (* end of lemma zenon_L405_ *)
% 54.73/54.91 assert (zenon_L406_ : (~((op2 (e22) (e22)) = (op2 (e22) (op2 (e22) (e22))))) -> ((op2 (e22) (e22)) = (e22)) -> False).
% 54.73/54.91 do 0 intro. intros zenon_H407 zenon_Hd6.
% 54.73/54.91 cut (((e22) = (op2 (e22) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H408].
% 54.73/54.91 cut (((e22) = (e22))); [idtac | apply NNPP; zenon_intro zenon_Hea].
% 54.73/54.91 congruence.
% 54.73/54.91 apply zenon_Hea. apply refl_equal.
% 54.73/54.91 apply zenon_H408. apply sym_equal. exact zenon_Hd6.
% 54.73/54.91 (* end of lemma zenon_L406_ *)
% 54.73/54.91 assert (zenon_L407_ : ((op2 (e22) (op2 (e22) (e22))) = (e22)) -> ((op2 (e22) (e22)) = (e22)) -> ((op2 (e22) (e21)) = (e22)) -> (~((op2 (e22) (e21)) = (op2 (e22) (e22)))) -> False).
% 54.73/54.91 do 0 intro. intros zenon_H3f7 zenon_Hd6 zenon_Hd3 zenon_H409.
% 54.73/54.91 elim (classic ((op2 (e22) (e22)) = (op2 (e22) (e22)))); [ zenon_intro zenon_H3d4 | zenon_intro zenon_H3d5 ].
% 54.73/54.91 cut (((op2 (e22) (e22)) = (op2 (e22) (e22))) = ((op2 (e22) (e21)) = (op2 (e22) (e22)))).
% 54.73/54.91 intro zenon_D_pnotp.
% 54.73/54.91 apply zenon_H409.
% 54.73/54.91 rewrite <- zenon_D_pnotp.
% 54.73/54.91 exact zenon_H3d4.
% 54.73/54.91 cut (((op2 (e22) (e22)) = (op2 (e22) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H3d5].
% 54.73/54.91 cut (((op2 (e22) (e22)) = (op2 (e22) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H40a].
% 54.73/54.91 congruence.
% 54.73/54.91 cut (((op2 (e22) (op2 (e22) (e22))) = (e22)) = ((op2 (e22) (e22)) = (op2 (e22) (e21)))).
% 54.73/54.91 intro zenon_D_pnotp.
% 54.73/54.91 apply zenon_H40a.
% 54.73/54.91 rewrite <- zenon_D_pnotp.
% 54.73/54.91 exact zenon_H3f7.
% 54.73/54.91 cut (((e22) = (op2 (e22) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H3d7].
% 54.73/54.91 cut (((op2 (e22) (op2 (e22) (e22))) = (op2 (e22) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H40b].
% 54.73/54.91 congruence.
% 54.73/54.91 elim (classic ((op2 (e22) (e22)) = (op2 (e22) (e22)))); [ zenon_intro zenon_H3d4 | zenon_intro zenon_H3d5 ].
% 54.73/54.91 cut (((op2 (e22) (e22)) = (op2 (e22) (e22))) = ((op2 (e22) (op2 (e22) (e22))) = (op2 (e22) (e22)))).
% 54.73/54.91 intro zenon_D_pnotp.
% 54.73/54.91 apply zenon_H40b.
% 54.73/54.91 rewrite <- zenon_D_pnotp.
% 54.73/54.91 exact zenon_H3d4.
% 54.73/54.91 cut (((op2 (e22) (e22)) = (op2 (e22) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H3d5].
% 54.73/54.91 cut (((op2 (e22) (e22)) = (op2 (e22) (op2 (e22) (e22))))); [idtac | apply NNPP; zenon_intro zenon_H407].
% 54.73/54.91 congruence.
% 54.73/54.91 apply (zenon_L406_); trivial.
% 54.73/54.91 apply zenon_H3d5. apply refl_equal.
% 54.73/54.91 apply zenon_H3d5. apply refl_equal.
% 54.73/54.91 apply zenon_H3d7. apply sym_equal. exact zenon_Hd3.
% 54.73/54.91 apply zenon_H3d5. apply refl_equal.
% 54.73/54.91 apply zenon_H3d5. apply refl_equal.
% 54.73/54.91 (* end of lemma zenon_L407_ *)
% 54.73/54.91 assert (zenon_L408_ : (((op2 (e22) (e21)) = (e20))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e22) (e21)) = (e23))))) -> (~((op2 (e21) (e21)) = (op2 (e22) (e21)))) -> ((e20) = (op2 (e21) (e21))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> ((op2 (e20) (e21)) = (e21)) -> (~((op2 (e22) (e21)) = (op2 (e22) (e22)))) -> ((op2 (e22) (e22)) = (e22)) -> ((op2 (e22) (op2 (e22) (e22))) = (e22)) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> ((op2 (e22) (op2 (e22) (e21))) = (e21)) -> ((op2 (e23) (e23)) = (e21)) -> False).
% 54.73/54.91 do 0 intro. intros zenon_H3dc zenon_H110 zenon_H33 zenon_H286 zenon_Hb9 zenon_H409 zenon_Hd6 zenon_H3f7 zenon_H3d9 zenon_H3ce zenon_H386.
% 54.73/54.91 apply (zenon_or_s _ _ zenon_H3dc); [ zenon_intro zenon_H10f | zenon_intro zenon_H3dd ].
% 54.73/54.91 apply (zenon_L55_); trivial.
% 54.73/54.91 apply (zenon_or_s _ _ zenon_H3dd); [ zenon_intro zenon_H27f | zenon_intro zenon_H3de ].
% 54.73/54.91 apply (zenon_L359_); trivial.
% 54.73/54.91 apply (zenon_or_s _ _ zenon_H3de); [ zenon_intro zenon_Hd3 | zenon_intro zenon_H3ba ].
% 54.73/54.91 apply (zenon_L407_); trivial.
% 54.73/54.91 apply (zenon_L362_); trivial.
% 54.73/54.91 (* end of lemma zenon_L408_ *)
% 54.73/54.91 assert (zenon_L409_ : (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> ((op2 (e22) (op2 (e22) (e21))) = (e21)) -> ((op2 (e22) (e21)) = (e21)) -> ((op2 (e23) (e21)) = (e21)) -> False).
% 54.73/54.91 do 0 intro. intros zenon_H3c5 zenon_H3ce zenon_H27f zenon_H283.
% 54.73/54.91 cut (((op2 (e22) (op2 (e22) (e21))) = (e21)) = ((op2 (e22) (e21)) = (op2 (e23) (e21)))).
% 54.73/54.91 intro zenon_D_pnotp.
% 54.73/54.91 apply zenon_H3c5.
% 54.73/54.91 rewrite <- zenon_D_pnotp.
% 54.73/54.91 exact zenon_H3ce.
% 54.73/54.91 cut (((e21) = (op2 (e23) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H284].
% 54.73/54.91 cut (((op2 (e22) (op2 (e22) (e21))) = (op2 (e22) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H3d0].
% 54.73/54.91 congruence.
% 54.73/54.91 elim (classic ((op2 (e22) (e21)) = (op2 (e22) (e21)))); [ zenon_intro zenon_H111 | zenon_intro zenon_H112 ].
% 54.73/54.91 cut (((op2 (e22) (e21)) = (op2 (e22) (e21))) = ((op2 (e22) (op2 (e22) (e21))) = (op2 (e22) (e21)))).
% 54.73/54.91 intro zenon_D_pnotp.
% 54.73/54.91 apply zenon_H3d0.
% 54.73/54.91 rewrite <- zenon_D_pnotp.
% 54.73/54.91 exact zenon_H111.
% 54.73/54.91 cut (((op2 (e22) (e21)) = (op2 (e22) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H112].
% 54.73/54.91 cut (((op2 (e22) (e21)) = (op2 (e22) (op2 (e22) (e21))))); [idtac | apply NNPP; zenon_intro zenon_H3cc].
% 54.73/54.91 congruence.
% 54.73/54.91 apply (zenon_L358_); trivial.
% 54.73/54.91 apply zenon_H112. apply refl_equal.
% 54.73/54.91 apply zenon_H112. apply refl_equal.
% 54.73/54.91 apply zenon_H284. apply sym_equal. exact zenon_H283.
% 54.73/54.91 (* end of lemma zenon_L409_ *)
% 54.73/54.91 assert (zenon_L410_ : (((op2 (e22) (e21)) = (e20))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e22) (e21)) = (e23))))) -> (~((op2 (e21) (e21)) = (op2 (e22) (e21)))) -> ((e20) = (op2 (e21) (e21))) -> ((op2 (e23) (e21)) = (e21)) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e22)))) -> ((op2 (e22) (e22)) = (e22)) -> ((op2 (e22) (op2 (e22) (e22))) = (e22)) -> ((op2 (e22) (op2 (e22) (e21))) = (e21)) -> ((op2 (e21) (e23)) = (e21)) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> False).
% 54.73/54.91 do 0 intro. intros zenon_H3dc zenon_H110 zenon_H33 zenon_H283 zenon_H3c5 zenon_H409 zenon_Hd6 zenon_H3f7 zenon_H3ce zenon_Hcb zenon_H394.
% 54.73/54.91 apply (zenon_or_s _ _ zenon_H3dc); [ zenon_intro zenon_H10f | zenon_intro zenon_H3dd ].
% 54.73/54.91 apply (zenon_L55_); trivial.
% 54.73/54.91 apply (zenon_or_s _ _ zenon_H3dd); [ zenon_intro zenon_H27f | zenon_intro zenon_H3de ].
% 54.73/54.91 apply (zenon_L409_); trivial.
% 54.73/54.91 apply (zenon_or_s _ _ zenon_H3de); [ zenon_intro zenon_Hd3 | zenon_intro zenon_H3ba ].
% 54.73/54.91 apply (zenon_L407_); trivial.
% 54.73/54.91 apply (zenon_L366_); trivial.
% 54.73/54.91 (* end of lemma zenon_L410_ *)
% 54.73/54.91 assert (zenon_L411_ : (((op2 (e21) (e23)) = (e21))/\(((op2 (e23) (e21)) = (e21))/\(((~((op2 (e23) (e20)) = (e23)))\/(~((op2 (e23) (e23)) = (e20))))/\(((~((op2 (e23) (e21)) = (e23)))\/(~((op2 (e23) (e23)) = (e21))))/\(((~((op2 (e23) (e22)) = (e23)))\/(~((op2 (e23) (e23)) = (e22))))/\((~((op2 (e23) (e23)) = (e23)))\/(~((op2 (e23) (e23)) = (e23))))))))) -> (((op2 (e22) (e21)) = (e20))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e22) (e21)) = (e23))))) -> (~((op2 (e21) (e21)) = (op2 (e22) (e21)))) -> ((e20) = (op2 (e21) (e21))) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e22)))) -> ((op2 (e22) (e22)) = (e22)) -> ((op2 (e22) (op2 (e22) (e22))) = (e22)) -> ((op2 (e22) (op2 (e22) (e21))) = (e21)) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> False).
% 54.73/54.91 do 0 intro. intros zenon_Hcd zenon_H3dc zenon_H110 zenon_H33 zenon_H3c5 zenon_H409 zenon_Hd6 zenon_H3f7 zenon_H3ce zenon_H394.
% 54.73/54.91 apply (zenon_and_s _ _ zenon_Hcd). zenon_intro zenon_Hcb. zenon_intro zenon_Hce.
% 54.73/54.91 apply (zenon_and_s _ _ zenon_Hce). zenon_intro zenon_H283. zenon_intro zenon_H8c.
% 54.73/54.91 apply (zenon_L410_); trivial.
% 54.73/54.91 (* end of lemma zenon_L411_ *)
% 54.73/54.91 assert (zenon_L412_ : (((op2 (e23) (e22)) = (e23))/\(((op2 (e22) (e23)) = (e23))/\(((~((op2 (e22) (e20)) = (e22)))\/(~((op2 (e22) (e22)) = (e20))))/\(((~((op2 (e22) (e21)) = (e22)))\/(~((op2 (e22) (e22)) = (e21))))/\(((~((op2 (e22) (e22)) = (e22)))\/(~((op2 (e22) (e22)) = (e22))))/\((~((op2 (e22) (e23)) = (e22)))\/(~((op2 (e22) (e22)) = (e23))))))))) -> ((op2 (e22) (e22)) = (e22)) -> False).
% 54.73/54.91 do 0 intro. intros zenon_H142 zenon_Hd6.
% 54.73/54.91 apply (zenon_and_s _ _ zenon_H142). zenon_intro zenon_Hfb. zenon_intro zenon_H143.
% 54.73/54.91 apply (zenon_and_s _ _ zenon_H143). zenon_intro zenon_Heb. zenon_intro zenon_Hda.
% 54.73/54.91 apply (zenon_and_s _ _ zenon_Hda). zenon_intro zenon_Hdc. zenon_intro zenon_Hdb.
% 54.73/54.91 apply (zenon_and_s _ _ zenon_Hdb). zenon_intro zenon_Hde. zenon_intro zenon_Hdd.
% 54.73/54.91 apply (zenon_and_s _ _ zenon_Hdd). zenon_intro zenon_Hd5. zenon_intro zenon_Hdf.
% 54.73/54.91 apply (zenon_L40_); trivial.
% 54.73/54.91 (* end of lemma zenon_L412_ *)
% 54.73/54.91 assert (zenon_L413_ : (((op2 (e21) (e20)) = (e21))/\(((op2 (e20) (e21)) = (e21))/\(((~((op2 (e20) (e20)) = (e20)))\/(~((op2 (e20) (e20)) = (e20))))/\(((~((op2 (e20) (e21)) = (e20)))\/(~((op2 (e20) (e20)) = (e21))))/\(((~((op2 (e20) (e22)) = (e20)))\/(~((op2 (e20) (e20)) = (e22))))/\((~((op2 (e20) (e23)) = (e20)))\/(~((op2 (e20) (e20)) = (e23))))))))) -> ((op2 (e21) (e22)) = (e21)) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> False).
% 54.73/54.91 do 0 intro. intros zenon_Hb6 zenon_Hc4 zenon_Hc5.
% 54.73/54.91 apply (zenon_and_s _ _ zenon_Hb6). zenon_intro zenon_H4e. zenon_intro zenon_Hb8.
% 54.73/54.91 apply (zenon_L33_); trivial.
% 54.73/54.91 (* end of lemma zenon_L413_ *)
% 54.73/54.91 assert (zenon_L414_ : ((op2 (e22) (op2 (e22) (e22))) = (e22)) -> ((op2 (e22) (e22)) = (e22)) -> ((op2 (e21) (e22)) = (e22)) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> False).
% 54.73/54.91 do 0 intro. intros zenon_H3f7 zenon_Hd6 zenon_Hd4 zenon_H40c.
% 54.73/54.91 elim (classic ((op2 (e22) (e22)) = (op2 (e22) (e22)))); [ zenon_intro zenon_H3d4 | zenon_intro zenon_H3d5 ].
% 54.73/54.91 cut (((op2 (e22) (e22)) = (op2 (e22) (e22))) = ((op2 (e21) (e22)) = (op2 (e22) (e22)))).
% 54.73/54.91 intro zenon_D_pnotp.
% 54.73/54.91 apply zenon_H40c.
% 54.73/54.91 rewrite <- zenon_D_pnotp.
% 54.73/54.91 exact zenon_H3d4.
% 54.73/54.91 cut (((op2 (e22) (e22)) = (op2 (e22) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H3d5].
% 54.73/54.91 cut (((op2 (e22) (e22)) = (op2 (e21) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H40d].
% 54.73/54.91 congruence.
% 54.73/54.91 cut (((op2 (e22) (op2 (e22) (e22))) = (e22)) = ((op2 (e22) (e22)) = (op2 (e21) (e22)))).
% 54.73/54.91 intro zenon_D_pnotp.
% 54.73/54.91 apply zenon_H40d.
% 54.73/54.91 rewrite <- zenon_D_pnotp.
% 54.73/54.91 exact zenon_H3f7.
% 54.73/54.91 cut (((e22) = (op2 (e21) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H40e].
% 54.73/54.91 cut (((op2 (e22) (op2 (e22) (e22))) = (op2 (e22) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H40b].
% 54.73/54.91 congruence.
% 54.73/54.91 elim (classic ((op2 (e22) (e22)) = (op2 (e22) (e22)))); [ zenon_intro zenon_H3d4 | zenon_intro zenon_H3d5 ].
% 54.73/54.91 cut (((op2 (e22) (e22)) = (op2 (e22) (e22))) = ((op2 (e22) (op2 (e22) (e22))) = (op2 (e22) (e22)))).
% 54.73/54.91 intro zenon_D_pnotp.
% 54.73/54.91 apply zenon_H40b.
% 54.73/54.91 rewrite <- zenon_D_pnotp.
% 54.73/54.91 exact zenon_H3d4.
% 54.73/54.91 cut (((op2 (e22) (e22)) = (op2 (e22) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H3d5].
% 54.73/54.91 cut (((op2 (e22) (e22)) = (op2 (e22) (op2 (e22) (e22))))); [idtac | apply NNPP; zenon_intro zenon_H407].
% 54.73/54.91 congruence.
% 54.73/54.91 apply (zenon_L406_); trivial.
% 54.73/54.91 apply zenon_H3d5. apply refl_equal.
% 54.73/54.91 apply zenon_H3d5. apply refl_equal.
% 54.73/54.91 apply zenon_H40e. apply sym_equal. exact zenon_Hd4.
% 54.73/54.91 apply zenon_H3d5. apply refl_equal.
% 54.73/54.91 apply zenon_H3d5. apply refl_equal.
% 54.73/54.91 (* end of lemma zenon_L414_ *)
% 54.73/54.91 assert (zenon_L415_ : (((op2 (e21) (e22)) = (e20))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e22)) = (e23))))) -> (~((op2 (e21) (e21)) = (op2 (e21) (e22)))) -> ((e20) = (op2 (e21) (e21))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> (((op2 (e21) (e20)) = (e21))/\(((op2 (e20) (e21)) = (e21))/\(((~((op2 (e20) (e20)) = (e20)))\/(~((op2 (e20) (e20)) = (e20))))/\(((~((op2 (e20) (e21)) = (e20)))\/(~((op2 (e20) (e20)) = (e21))))/\(((~((op2 (e20) (e22)) = (e20)))\/(~((op2 (e20) (e20)) = (e22))))/\((~((op2 (e20) (e23)) = (e20)))\/(~((op2 (e20) (e20)) = (e23))))))))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> ((op2 (e22) (e22)) = (e22)) -> ((op2 (e22) (op2 (e22) (e22))) = (e22)) -> ((op2 (e23) (e22)) = (e23)) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> False).
% 54.73/54.91 do 0 intro. intros zenon_H40f zenon_H7a zenon_H33 zenon_Hc5 zenon_Hb6 zenon_H40c zenon_Hd6 zenon_H3f7 zenon_Hfb zenon_H38f.
% 54.73/54.91 apply (zenon_or_s _ _ zenon_H40f); [ zenon_intro zenon_H79 | zenon_intro zenon_H410 ].
% 54.73/54.91 apply (zenon_L20_); trivial.
% 54.73/54.91 apply (zenon_or_s _ _ zenon_H410); [ zenon_intro zenon_Hc4 | zenon_intro zenon_H411 ].
% 54.73/54.91 apply (zenon_L413_); trivial.
% 54.73/54.91 apply (zenon_or_s _ _ zenon_H411); [ zenon_intro zenon_Hd4 | zenon_intro zenon_H38e ].
% 54.73/54.91 apply (zenon_L414_); trivial.
% 54.73/54.91 apply (zenon_L324_); trivial.
% 54.73/54.91 (* end of lemma zenon_L415_ *)
% 54.73/54.91 assert (zenon_L416_ : (((op2 (e21) (e22)) = (e21))/\(((op2 (e22) (e21)) = (e21))/\(((~((op2 (e22) (e20)) = (e22)))\/(~((op2 (e22) (e22)) = (e20))))/\(((~((op2 (e22) (e21)) = (e22)))\/(~((op2 (e22) (e22)) = (e21))))/\(((~((op2 (e22) (e22)) = (e22)))\/(~((op2 (e22) (e22)) = (e22))))/\((~((op2 (e22) (e23)) = (e22)))\/(~((op2 (e22) (e22)) = (e23))))))))) -> ((op2 (e22) (e22)) = (e22)) -> False).
% 54.73/54.91 do 0 intro. intros zenon_Hc8 zenon_Hd6.
% 54.73/54.91 apply (zenon_and_s _ _ zenon_Hc8). zenon_intro zenon_Hc4. zenon_intro zenon_Hc9.
% 54.73/54.91 apply (zenon_and_s _ _ zenon_Hc9). zenon_intro zenon_H27f. zenon_intro zenon_Hda.
% 54.73/54.91 apply (zenon_and_s _ _ zenon_Hda). zenon_intro zenon_Hdc. zenon_intro zenon_Hdb.
% 54.73/54.91 apply (zenon_and_s _ _ zenon_Hdb). zenon_intro zenon_Hde. zenon_intro zenon_Hdd.
% 54.73/54.91 apply (zenon_and_s _ _ zenon_Hdd). zenon_intro zenon_Hd5. zenon_intro zenon_Hdf.
% 54.73/54.91 apply (zenon_L40_); trivial.
% 54.73/54.91 (* end of lemma zenon_L416_ *)
% 54.73/54.91 assert (zenon_L417_ : ((~((op2 (e23) (e23)) = (e22)))\/((op2 (e23) (e22)) = (e23))) -> (((op2 (e21) (e20)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/((op2 (e21) (e23)) = (e23))))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e21) (e22)) = (e20))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e22)) = (e23))))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e21) (e21)) = (op2 (e21) (e22)))) -> (((op2 (e21) (e20)) = (e20))\/(((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e20)) = (e22))\/((op2 (e21) (e20)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> ((e23) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((e22) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> ((e20) = (op2 (e21) (e21))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> ((op2 (e22) (e22)) = (e22)) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e22) (e23)) = (e20))))) -> ((op2 (e22) (op2 (e22) (e23))) = (e23)) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> ((op2 (e22) (op2 (e22) (e22))) = (e22)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (((op2 (e23) (e20)) = (e22))\/(((op2 (e23) (e21)) = (e22))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e21) (e21)) = (op2 (e22) (e21)))) -> ((op2 (e22) (op2 (e22) (e20))) = (e20)) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> (((op2 (e20) (e21)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (((op2 (e23) (e23)) = (e20))\/(((op2 (e23) (e23)) = (e21))\/(((op2 (e23) (e23)) = (e22))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e23)))) -> (((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e21)) = (e22))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> (((op2 (e22) (e21)) = (e20))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e22) (e21)) = (e23))))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e22)))) -> ((op2 (e22) (op2 (e22) (e21))) = (e21)) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (((op2 (e20) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> ((((op2 (e20) (e20)) = (e20))/\(((op2 (e20) (e20)) = (e20))/\(((~((op2 (e20) (e20)) = (e20)))\/(~((op2 (e20) (e20)) = (e20))))/\(((~((op2 (e20) (e21)) = (e20)))\/(~((op2 (e20) (e20)) = (e21))))/\(((~((op2 (e20) (e22)) = (e20)))\/(~((op2 (e20) (e20)) = (e22))))/\((~((op2 (e20) (e23)) = (e20)))\/(~((op2 (e20) (e20)) = (e23)))))))))\/((((op2 (e20) (e21)) = (e20))/\(((op2 (e21) (e20)) = (e20))/\(((~((op2 (e21) (e20)) = (e21)))\/(~((op2 (e21) (e21)) = (e20))))/\(((~((op2 (e21) (e21)) = (e21)))\/(~((op2 (e21) (e21)) = (e21))))/\(((~((op2 (e21) (e22)) = (e21)))\/(~((op2 (e21) (e21)) = (e22))))/\((~((op2 (e21) (e23)) = (e21)))\/(~((op2 (e21) (e21)) = (e23)))))))))\/((((op2 (e20) (e22)) = (e20))/\(((op2 (e22) (e20)) = (e20))/\(((~((op2 (e22) (e20)) = (e22)))\/(~((op2 (e22) (e22)) = (e20))))/\(((~((op2 (e22) (e21)) = (e22)))\/(~((op2 (e22) (e22)) = (e21))))/\(((~((op2 (e22) (e22)) = (e22)))\/(~((op2 (e22) (e22)) = (e22))))/\((~((op2 (e22) (e23)) = (e22)))\/(~((op2 (e22) (e22)) = (e23)))))))))\/((((op2 (e20) (e23)) = (e20))/\(((op2 (e23) (e20)) = (e20))/\(((~((op2 (e23) (e20)) = (e23)))\/(~((op2 (e23) (e23)) = (e20))))/\(((~((op2 (e23) (e21)) = (e23)))\/(~((op2 (e23) (e23)) = (e21))))/\(((~((op2 (e23) (e22)) = (e23)))\/(~((op2 (e23) (e23)) = (e22))))/\((~((op2 (e23) (e23)) = (e23)))\/(~((op2 (e23) (e23)) = (e23)))))))))\/((((op2 (e21) (e20)) = (e21))/\(((op2 (e20) (e21)) = (e21))/\(((~((op2 (e20) (e20)) = (e20)))\/(~((op2 (e20) (e20)) = (e20))))/\(((~((op2 (e20) (e21)) = (e20)))\/(~((op2 (e20) (e20)) = (e21))))/\(((~((op2 (e20) (e22)) = (e20)))\/(~((op2 (e20) (e20)) = (e22))))/\((~((op2 (e20) (e23)) = (e20)))\/(~((op2 (e20) (e20)) = (e23)))))))))\/((((op2 (e21) (e21)) = (e21))/\(((op2 (e21) (e21)) = (e21))/\(((~((op2 (e21) (e20)) = (e21)))\/(~((op2 (e21) (e21)) = (e20))))/\(((~((op2 (e21) (e21)) = (e21)))\/(~((op2 (e21) (e21)) = (e21))))/\(((~((op2 (e21) (e22)) = (e21)))\/(~((op2 (e21) (e21)) = (e22))))/\((~((op2 (e21) (e23)) = (e21)))\/(~((op2 (e21) (e21)) = (e23)))))))))\/((((op2 (e21) (e22)) = (e21))/\(((op2 (e22) (e21)) = (e21))/\(((~((op2 (e22) (e20)) = (e22)))\/(~((op2 (e22) (e22)) = (e20))))/\(((~((op2 (e22) (e21)) = (e22)))\/(~((op2 (e22) (e22)) = (e21))))/\(((~((op2 (e22) (e22)) = (e22)))\/(~((op2 (e22) (e22)) = (e22))))/\((~((op2 (e22) (e23)) = (e22)))\/(~((op2 (e22) (e22)) = (e23)))))))))\/((((op2 (e21) (e23)) = (e21))/\(((op2 (e23) (e21)) = (e21))/\(((~((op2 (e23) (e20)) = (e23)))\/(~((op2 (e23) (e23)) = (e20))))/\(((~((op2 (e23) (e21)) = (e23)))\/(~((op2 (e23) (e23)) = (e21))))/\(((~((op2 (e23) (e22)) = (e23)))\/(~((op2 (e23) (e23)) = (e22))))/\((~((op2 (e23) (e23)) = (e23)))\/(~((op2 (e23) (e23)) = (e23)))))))))\/((((op2 (e22) (e20)) = (e22))/\(((op2 (e20) (e22)) = (e22))/\(((~((op2 (e20) (e20)) = (e20)))\/(~((op2 (e20) (e20)) = (e20))))/\(((~((op2 (e20) (e21)) = (e20)))\/(~((op2 (e20) (e20)) = (e21))))/\(((~((op2 (e20) (e22)) = (e20)))\/(~((op2 (e20) (e20)) = (e22))))/\((~((op2 (e20) (e23)) = (e20)))\/(~((op2 (e20) (e20)) = (e23)))))))))\/((((op2 (e22) (e21)) = (e22))/\(((op2 (e21) (e22)) = (e22))/\(((~((op2 (e21) (e20)) = (e21)))\/(~((op2 (e21) (e21)) = (e20))))/\(((~((op2 (e21) (e21)) = (e21)))\/(~((op2 (e21) (e21)) = (e21))))/\(((~((op2 (e21) (e22)) = (e21)))\/(~((op2 (e21) (e21)) = (e22))))/\((~((op2 (e21) (e23)) = (e21)))\/(~((op2 (e21) (e21)) = (e23)))))))))\/((((op2 (e22) (e22)) = (e22))/\(((op2 (e22) (e22)) = (e22))/\(((~((op2 (e22) (e20)) = (e22)))\/(~((op2 (e22) (e22)) = (e20))))/\(((~((op2 (e22) (e21)) = (e22)))\/(~((op2 (e22) (e22)) = (e21))))/\(((~((op2 (e22) (e22)) = (e22)))\/(~((op2 (e22) (e22)) = (e22))))/\((~((op2 (e22) (e23)) = (e22)))\/(~((op2 (e22) (e22)) = (e23)))))))))\/((((op2 (e22) (e23)) = (e22))/\(((op2 (e23) (e22)) = (e22))/\(((~((op2 (e23) (e20)) = (e23)))\/(~((op2 (e23) (e23)) = (e20))))/\(((~((op2 (e23) (e21)) = (e23)))\/(~((op2 (e23) (e23)) = (e21))))/\(((~((op2 (e23) (e22)) = (e23)))\/(~((op2 (e23) (e23)) = (e22))))/\((~((op2 (e23) (e23)) = (e23)))\/(~((op2 (e23) (e23)) = (e23)))))))))\/((((op2 (e23) (e20)) = (e23))/\(((op2 (e20) (e23)) = (e23))/\(((~((op2 (e20) (e20)) = (e20)))\/(~((op2 (e20) (e20)) = (e20))))/\(((~((op2 (e20) (e21)) = (e20)))\/(~((op2 (e20) (e20)) = (e21))))/\(((~((op2 (e20) (e22)) = (e20)))\/(~((op2 (e20) (e20)) = (e22))))/\((~((op2 (e20) (e23)) = (e20)))\/(~((op2 (e20) (e20)) = (e23)))))))))\/((((op2 (e23) (e21)) = (e23))/\(((op2 (e21) (e23)) = (e23))/\(((~((op2 (e21) (e20)) = (e21)))\/(~((op2 (e21) (e21)) = (e20))))/\(((~((op2 (e21) (e21)) = (e21)))\/(~((op2 (e21) (e21)) = (e21))))/\(((~((op2 (e21) (e22)) = (e21)))\/(~((op2 (e21) (e21)) = (e22))))/\((~((op2 (e21) (e23)) = (e21)))\/(~((op2 (e21) (e21)) = (e23)))))))))\/((((op2 (e23) (e22)) = (e23))/\(((op2 (e22) (e23)) = (e23))/\(((~((op2 (e22) (e20)) = (e22)))\/(~((op2 (e22) (e22)) = (e20))))/\(((~((op2 (e22) (e21)) = (e22)))\/(~((op2 (e22) (e22)) = (e21))))/\(((~((op2 (e22) (e22)) = (e22)))\/(~((op2 (e22) (e22)) = (e22))))/\((~((op2 (e22) (e23)) = (e22)))\/(~((op2 (e22) (e22)) = (e23)))))))))\/(((op2 (e23) (e23)) = (e23))/\(((op2 (e23) (e23)) = (e23))/\(((~((op2 (e23) (e20)) = (e23)))\/(~((op2 (e23) (e23)) = (e20))))/\(((~((op2 (e23) (e21)) = (e23)))\/(~((op2 (e23) (e23)) = (e21))))/\(((~((op2 (e23) (e22)) = (e23)))\/(~((op2 (e23) (e23)) = (e22))))/\((~((op2 (e23) (e23)) = (e23)))\/(~((op2 (e23) (e23)) = (e23)))))))))))))))))))))))) -> False).
% 54.73/54.91 do 0 intro. intros zenon_H412 zenon_H399 zenon_H38f zenon_H40f zenon_H40c zenon_H7a zenon_H4a zenon_H45 zenon_H3b zenon_H3f zenon_H3e zenon_H33 zenon_H32 zenon_Hd6 zenon_H93 zenon_H3b4 zenon_H116 zenon_H3a8 zenon_H9f zenon_H11e zenon_H3c6 zenon_H406 zenon_H3f7 zenon_H60 zenon_H67 zenon_H74 zenon_H110 zenon_H402 zenon_Hb0 zenon_H3bd zenon_H6e zenon_H382 zenon_H3c2 zenon_Hca zenon_H3b1 zenon_H3c5 zenon_H282 zenon_H39d zenon_H3dc zenon_H3d9 zenon_H409 zenon_H3ce zenon_H286 zenon_H3e4 zenon_Hc5 zenon_H394 zenon_H128.
% 54.73/54.91 apply (zenon_or_s _ _ zenon_H412); [ zenon_intro zenon_H73 | zenon_intro zenon_Hfb ].
% 54.73/54.91 apply (zenon_or_s _ _ zenon_H128); [ zenon_intro zenon_H2b | zenon_intro zenon_H134 ].
% 54.73/54.91 apply (zenon_L5_); trivial.
% 54.73/54.91 apply (zenon_or_s _ _ zenon_H134); [ zenon_intro zenon_H4f | zenon_intro zenon_H135 ].
% 54.73/54.91 apply (zenon_L12_); trivial.
% 54.73/54.91 apply (zenon_or_s _ _ zenon_H135); [ zenon_intro zenon_H77 | zenon_intro zenon_H136 ].
% 54.73/54.91 apply (zenon_L405_); trivial.
% 54.73/54.91 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_H89 | zenon_intro zenon_H137 ].
% 54.73/54.91 apply (zenon_L393_); trivial.
% 54.73/54.91 apply (zenon_or_s _ _ zenon_H137); [ zenon_intro zenon_Hb6 | zenon_intro zenon_H138 ].
% 54.73/54.91 apply (zenon_and_s _ _ zenon_Hb6). zenon_intro zenon_H4e. zenon_intro zenon_Hb8.
% 54.73/54.91 apply (zenon_and_s _ _ zenon_Hb8). zenon_intro zenon_Hb9. zenon_intro zenon_H2e.
% 54.73/54.91 apply (zenon_or_s _ _ zenon_H3e4); [ zenon_intro zenon_H3c3 | zenon_intro zenon_H3e5 ].
% 54.73/54.91 apply (zenon_L352_); trivial.
% 54.73/54.91 apply (zenon_or_s _ _ zenon_H3e5); [ zenon_intro zenon_Hcb | zenon_intro zenon_H3e6 ].
% 54.73/54.91 apply (zenon_L36_); trivial.
% 54.73/54.91 apply (zenon_or_s _ _ zenon_H3e6); [ zenon_intro zenon_H3c7 | zenon_intro zenon_H386 ].
% 54.73/54.91 apply (zenon_L355_); trivial.
% 54.73/54.91 apply (zenon_L408_); trivial.
% 54.73/54.91 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H139 ].
% 54.73/54.91 apply (zenon_L32_); trivial.
% 54.73/54.91 apply (zenon_or_s _ _ zenon_H139); [ zenon_intro zenon_Hc8 | zenon_intro zenon_H13a ].
% 54.73/54.91 apply (zenon_L35_); trivial.
% 54.73/54.91 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_Hcd | zenon_intro zenon_H13b ].
% 54.73/54.91 apply (zenon_L411_); trivial.
% 54.73/54.91 apply (zenon_or_s _ _ zenon_H13b); [ zenon_intro zenon_Hcf | zenon_intro zenon_H13c ].
% 54.73/54.91 apply (zenon_L38_); trivial.
% 54.73/54.91 apply (zenon_or_s _ _ zenon_H13c); [ zenon_intro zenon_Hd1 | zenon_intro zenon_H13d ].
% 54.73/54.91 apply (zenon_L39_); trivial.
% 54.73/54.91 apply (zenon_or_s _ _ zenon_H13d); [ zenon_intro zenon_Hd8 | zenon_intro zenon_H13e ].
% 54.73/54.91 apply (zenon_L41_); trivial.
% 54.73/54.91 apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_He0 | zenon_intro zenon_H13f ].
% 54.73/54.91 apply (zenon_L42_); trivial.
% 54.73/54.91 apply (zenon_or_s _ _ zenon_H13f); [ zenon_intro zenon_He3 | zenon_intro zenon_H140 ].
% 54.73/54.91 apply (zenon_L43_); trivial.
% 54.73/54.91 apply (zenon_or_s _ _ zenon_H140); [ zenon_intro zenon_He6 | zenon_intro zenon_H141 ].
% 54.73/54.91 apply (zenon_L44_); trivial.
% 54.73/54.91 apply (zenon_or_s _ _ zenon_H141); [ zenon_intro zenon_H142 | zenon_intro zenon_H108 ].
% 54.73/54.91 apply (zenon_L412_); trivial.
% 54.73/54.91 apply (zenon_L54_); trivial.
% 54.73/54.91 apply (zenon_or_s _ _ zenon_H128); [ zenon_intro zenon_H2b | zenon_intro zenon_H134 ].
% 54.73/54.91 apply (zenon_L5_); trivial.
% 54.73/54.91 apply (zenon_or_s _ _ zenon_H134); [ zenon_intro zenon_H4f | zenon_intro zenon_H135 ].
% 54.73/54.91 apply (zenon_L12_); trivial.
% 54.73/54.91 apply (zenon_or_s _ _ zenon_H135); [ zenon_intro zenon_H77 | zenon_intro zenon_H136 ].
% 54.73/54.91 apply (zenon_L405_); trivial.
% 54.73/54.91 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_H89 | zenon_intro zenon_H137 ].
% 54.73/54.91 apply (zenon_L401_); trivial.
% 54.73/54.91 apply (zenon_or_s _ _ zenon_H137); [ zenon_intro zenon_Hb6 | zenon_intro zenon_H138 ].
% 54.73/54.91 apply (zenon_L415_); trivial.
% 54.73/54.91 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H139 ].
% 54.73/54.91 apply (zenon_L32_); trivial.
% 54.73/54.91 apply (zenon_or_s _ _ zenon_H139); [ zenon_intro zenon_Hc8 | zenon_intro zenon_H13a ].
% 54.73/54.91 apply (zenon_L416_); trivial.
% 54.73/54.91 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_Hcd | zenon_intro zenon_H13b ].
% 54.73/54.91 apply (zenon_L411_); trivial.
% 54.73/54.91 apply (zenon_or_s _ _ zenon_H13b); [ zenon_intro zenon_Hcf | zenon_intro zenon_H13c ].
% 54.73/54.91 apply (zenon_L38_); trivial.
% 54.73/54.91 apply (zenon_or_s _ _ zenon_H13c); [ zenon_intro zenon_Hd1 | zenon_intro zenon_H13d ].
% 54.73/54.91 apply (zenon_L39_); trivial.
% 54.73/54.91 apply (zenon_or_s _ _ zenon_H13d); [ zenon_intro zenon_Hd8 | zenon_intro zenon_H13e ].
% 54.73/54.91 apply (zenon_L41_); trivial.
% 54.73/54.91 apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_He0 | zenon_intro zenon_H13f ].
% 54.73/54.91 apply (zenon_L42_); trivial.
% 54.73/54.91 apply (zenon_or_s _ _ zenon_H13f); [ zenon_intro zenon_He3 | zenon_intro zenon_H140 ].
% 54.73/54.91 apply (zenon_L43_); trivial.
% 54.73/54.91 apply (zenon_or_s _ _ zenon_H140); [ zenon_intro zenon_He6 | zenon_intro zenon_H141 ].
% 54.73/54.91 apply (zenon_L44_); trivial.
% 54.73/54.91 apply (zenon_or_s _ _ zenon_H141); [ zenon_intro zenon_H142 | zenon_intro zenon_H108 ].
% 54.73/54.91 apply (zenon_L403_); trivial.
% 54.73/54.91 apply (zenon_L54_); trivial.
% 54.73/54.91 (* end of lemma zenon_L417_ *)
% 54.73/54.91 assert (zenon_L418_ : (((op2 (e22) (op2 (e22) (e20))) = (e20))/\(((op2 (e22) (op2 (e22) (e21))) = (e21))/\(((op2 (e22) (op2 (e22) (e22))) = (e22))/\(((op2 (e22) (op2 (e22) (e23))) = (e23))/\(((~((op2 (e20) (e20)) = (e22)))\/((op2 (e20) (e22)) = (e20)))/\(((~((op2 (e21) (e21)) = (e22)))\/((op2 (e21) (e22)) = (e21)))/\(((~((op2 (e22) (e22)) = (e22)))\/((op2 (e22) (e22)) = (e22)))/\((~((op2 (e23) (e23)) = (e22)))\/((op2 (e23) (e22)) = (e23)))))))))) -> (~((e21) = (e22))) -> (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> (((op2 (e21) (e20)) = (e20))\/(((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e20)) = (e22))\/((op2 (e21) (e20)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> ((e23) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((e22) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> ((e20) = (op2 (e21) (e21))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> (((op2 (e23) (e20)) = (e22))\/(((op2 (e23) (e21)) = (e22))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (((op2 (e22) (e22)) = (e20))\/(((op2 (e22) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e22)) = (e23))))) -> (((op2 (e20) (e21)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e23) (e21)) = (e22))))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e22) (e21)) = (e20))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e22) (e21)) = (e23))))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e21) (e21)) = (op2 (e22) (e21)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (((op2 (e22) (e20)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e22) (e23)) = (e23))))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> (((op2 (e21) (e20)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/((op2 (e21) (e23)) = (e23))))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e22) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e22) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e20) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> (((op2 (e23) (e22)) = (e20))\/(((op2 (e23) (e22)) = (e21))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e22)) = (e23))))) -> (((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e21)) = (e22))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e23)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> (((op2 (e20) (e21)) = (e20))\/(((op2 (e20) (e21)) = (e21))\/(((op2 (e20) (e21)) = (e22))\/((op2 (e20) (e21)) = (e23))))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e22) (e23)) = (e20))))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (((op2 (e20) (e21)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (((op2 (e23) (e23)) = (e20))\/(((op2 (e23) (e23)) = (e21))\/(((op2 (e23) (e23)) = (e22))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e22)))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e20) (e21)) = (e23))\/(((op2 (e20) (e22)) = (e23))\/((op2 (e20) (e23)) = (e23))))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e20) (e21)) = (e20))\/(((op2 (e20) (e22)) = (e20))\/((op2 (e20) (e23)) = (e20))))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> ((((op2 (e20) (e20)) = (e20))/\(((op2 (e20) (e20)) = (e20))/\(((~((op2 (e20) (e20)) = (e20)))\/(~((op2 (e20) (e20)) = (e20))))/\(((~((op2 (e20) (e21)) = (e20)))\/(~((op2 (e20) (e20)) = (e21))))/\(((~((op2 (e20) (e22)) = (e20)))\/(~((op2 (e20) (e20)) = (e22))))/\((~((op2 (e20) (e23)) = (e20)))\/(~((op2 (e20) (e20)) = (e23)))))))))\/((((op2 (e20) (e21)) = (e20))/\(((op2 (e21) (e20)) = (e20))/\(((~((op2 (e21) (e20)) = (e21)))\/(~((op2 (e21) (e21)) = (e20))))/\(((~((op2 (e21) (e21)) = (e21)))\/(~((op2 (e21) (e21)) = (e21))))/\(((~((op2 (e21) (e22)) = (e21)))\/(~((op2 (e21) (e21)) = (e22))))/\((~((op2 (e21) (e23)) = (e21)))\/(~((op2 (e21) (e21)) = (e23)))))))))\/((((op2 (e20) (e22)) = (e20))/\(((op2 (e22) (e20)) = (e20))/\(((~((op2 (e22) (e20)) = (e22)))\/(~((op2 (e22) (e22)) = (e20))))/\(((~((op2 (e22) (e21)) = (e22)))\/(~((op2 (e22) (e22)) = (e21))))/\(((~((op2 (e22) (e22)) = (e22)))\/(~((op2 (e22) (e22)) = (e22))))/\((~((op2 (e22) (e23)) = (e22)))\/(~((op2 (e22) (e22)) = (e23)))))))))\/((((op2 (e20) (e23)) = (e20))/\(((op2 (e23) (e20)) = (e20))/\(((~((op2 (e23) (e20)) = (e23)))\/(~((op2 (e23) (e23)) = (e20))))/\(((~((op2 (e23) (e21)) = (e23)))\/(~((op2 (e23) (e23)) = (e21))))/\(((~((op2 (e23) (e22)) = (e23)))\/(~((op2 (e23) (e23)) = (e22))))/\((~((op2 (e23) (e23)) = (e23)))\/(~((op2 (e23) (e23)) = (e23)))))))))\/((((op2 (e21) (e20)) = (e21))/\(((op2 (e20) (e21)) = (e21))/\(((~((op2 (e20) (e20)) = (e20)))\/(~((op2 (e20) (e20)) = (e20))))/\(((~((op2 (e20) (e21)) = (e20)))\/(~((op2 (e20) (e20)) = (e21))))/\(((~((op2 (e20) (e22)) = (e20)))\/(~((op2 (e20) (e20)) = (e22))))/\((~((op2 (e20) (e23)) = (e20)))\/(~((op2 (e20) (e20)) = (e23)))))))))\/((((op2 (e21) (e21)) = (e21))/\(((op2 (e21) (e21)) = (e21))/\(((~((op2 (e21) (e20)) = (e21)))\/(~((op2 (e21) (e21)) = (e20))))/\(((~((op2 (e21) (e21)) = (e21)))\/(~((op2 (e21) (e21)) = (e21))))/\(((~((op2 (e21) (e22)) = (e21)))\/(~((op2 (e21) (e21)) = (e22))))/\((~((op2 (e21) (e23)) = (e21)))\/(~((op2 (e21) (e21)) = (e23)))))))))\/((((op2 (e21) (e22)) = (e21))/\(((op2 (e22) (e21)) = (e21))/\(((~((op2 (e22) (e20)) = (e22)))\/(~((op2 (e22) (e22)) = (e20))))/\(((~((op2 (e22) (e21)) = (e22)))\/(~((op2 (e22) (e22)) = (e21))))/\(((~((op2 (e22) (e22)) = (e22)))\/(~((op2 (e22) (e22)) = (e22))))/\((~((op2 (e22) (e23)) = (e22)))\/(~((op2 (e22) (e22)) = (e23)))))))))\/((((op2 (e21) (e23)) = (e21))/\(((op2 (e23) (e21)) = (e21))/\(((~((op2 (e23) (e20)) = (e23)))\/(~((op2 (e23) (e23)) = (e20))))/\(((~((op2 (e23) (e21)) = (e23)))\/(~((op2 (e23) (e23)) = (e21))))/\(((~((op2 (e23) (e22)) = (e23)))\/(~((op2 (e23) (e23)) = (e22))))/\((~((op2 (e23) (e23)) = (e23)))\/(~((op2 (e23) (e23)) = (e23)))))))))\/((((op2 (e22) (e20)) = (e22))/\(((op2 (e20) (e22)) = (e22))/\(((~((op2 (e20) (e20)) = (e20)))\/(~((op2 (e20) (e20)) = (e20))))/\(((~((op2 (e20) (e21)) = (e20)))\/(~((op2 (e20) (e20)) = (e21))))/\(((~((op2 (e20) (e22)) = (e20)))\/(~((op2 (e20) (e20)) = (e22))))/\((~((op2 (e20) (e23)) = (e20)))\/(~((op2 (e20) (e20)) = (e23)))))))))\/((((op2 (e22) (e21)) = (e22))/\(((op2 (e21) (e22)) = (e22))/\(((~((op2 (e21) (e20)) = (e21)))\/(~((op2 (e21) (e21)) = (e20))))/\(((~((op2 (e21) (e21)) = (e21)))\/(~((op2 (e21) (e21)) = (e21))))/\(((~((op2 (e21) (e22)) = (e21)))\/(~((op2 (e21) (e21)) = (e22))))/\((~((op2 (e21) (e23)) = (e21)))\/(~((op2 (e21) (e21)) = (e23)))))))))\/((((op2 (e22) (e22)) = (e22))/\(((op2 (e22) (e22)) = (e22))/\(((~((op2 (e22) (e20)) = (e22)))\/(~((op2 (e22) (e22)) = (e20))))/\(((~((op2 (e22) (e21)) = (e22)))\/(~((op2 (e22) (e22)) = (e21))))/\(((~((op2 (e22) (e22)) = (e22)))\/(~((op2 (e22) (e22)) = (e22))))/\((~((op2 (e22) (e23)) = (e22)))\/(~((op2 (e22) (e22)) = (e23)))))))))\/((((op2 (e22) (e23)) = (e22))/\(((op2 (e23) (e22)) = (e22))/\(((~((op2 (e23) (e20)) = (e23)))\/(~((op2 (e23) (e23)) = (e20))))/\(((~((op2 (e23) (e21)) = (e23)))\/(~((op2 (e23) (e23)) = (e21))))/\(((~((op2 (e23) (e22)) = (e23)))\/(~((op2 (e23) (e23)) = (e22))))/\((~((op2 (e23) (e23)) = (e23)))\/(~((op2 (e23) (e23)) = (e23)))))))))\/((((op2 (e23) (e20)) = (e23))/\(((op2 (e20) (e23)) = (e23))/\(((~((op2 (e20) (e20)) = (e20)))\/(~((op2 (e20) (e20)) = (e20))))/\(((~((op2 (e20) (e21)) = (e20)))\/(~((op2 (e20) (e20)) = (e21))))/\(((~((op2 (e20) (e22)) = (e20)))\/(~((op2 (e20) (e20)) = (e22))))/\((~((op2 (e20) (e23)) = (e20)))\/(~((op2 (e20) (e20)) = (e23)))))))))\/((((op2 (e23) (e21)) = (e23))/\(((op2 (e21) (e23)) = (e23))/\(((~((op2 (e21) (e20)) = (e21)))\/(~((op2 (e21) (e21)) = (e20))))/\(((~((op2 (e21) (e21)) = (e21)))\/(~((op2 (e21) (e21)) = (e21))))/\(((~((op2 (e21) (e22)) = (e21)))\/(~((op2 (e21) (e21)) = (e22))))/\((~((op2 (e21) (e23)) = (e21)))\/(~((op2 (e21) (e21)) = (e23)))))))))\/((((op2 (e23) (e22)) = (e23))/\(((op2 (e22) (e23)) = (e23))/\(((~((op2 (e22) (e20)) = (e22)))\/(~((op2 (e22) (e22)) = (e20))))/\(((~((op2 (e22) (e21)) = (e22)))\/(~((op2 (e22) (e22)) = (e21))))/\(((~((op2 (e22) (e22)) = (e22)))\/(~((op2 (e22) (e22)) = (e22))))/\((~((op2 (e22) (e23)) = (e22)))\/(~((op2 (e22) (e22)) = (e23)))))))))\/(((op2 (e23) (e23)) = (e23))/\(((op2 (e23) (e23)) = (e23))/\(((~((op2 (e23) (e20)) = (e23)))\/(~((op2 (e23) (e23)) = (e20))))/\(((~((op2 (e23) (e21)) = (e23)))\/(~((op2 (e23) (e23)) = (e21))))/\(((~((op2 (e23) (e22)) = (e23)))\/(~((op2 (e23) (e23)) = (e22))))/\((~((op2 (e23) (e23)) = (e23)))\/(~((op2 (e23) (e23)) = (e23)))))))))))))))))))))))) -> (((op2 (e21) (e22)) = (e20))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e22)) = (e23))))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e21) (e21)) = (op2 (e21) (e22)))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e22)))) -> False).
% 54.73/54.91 do 0 intro. intros zenon_H413 zenon_H27e zenon_H28c zenon_H4a zenon_H45 zenon_H3b zenon_H3f zenon_H3e zenon_H33 zenon_H32 zenon_H74 zenon_H100 zenon_H3fd zenon_Hb0 zenon_H3cb zenon_H3dc zenon_H3d9 zenon_Hfc zenon_H110 zenon_H67 zenon_H3f1 zenon_H37d zenon_H399 zenon_H38f zenon_H3ee zenon_H116 zenon_H394 zenon_H3e4 zenon_H11f zenon_H3f4 zenon_H3b1 zenon_H3c5 zenon_H60 zenon_H282 zenon_H39d zenon_Hca zenon_H3c2 zenon_H286 zenon_H93 zenon_H289 zenon_H8d zenon_Hf1 zenon_H3b4 zenon_H3a8 zenon_H9f zenon_H11e zenon_H406 zenon_H3bd zenon_H6e zenon_H382 zenon_H98 zenon_Ha5 zenon_Hac zenon_Hc5 zenon_H128 zenon_H40f zenon_H40c zenon_H7a zenon_H409.
% 54.73/54.91 apply (zenon_and_s _ _ zenon_H413). zenon_intro zenon_H402. zenon_intro zenon_H414.
% 54.73/54.91 apply (zenon_and_s _ _ zenon_H414). zenon_intro zenon_H3ce. zenon_intro zenon_H415.
% 54.73/54.91 apply (zenon_and_s _ _ zenon_H415). zenon_intro zenon_H3f7. zenon_intro zenon_H416.
% 54.73/54.91 apply (zenon_and_s _ _ zenon_H416). zenon_intro zenon_H3c6. zenon_intro zenon_H417.
% 54.73/54.91 apply (zenon_and_s _ _ zenon_H417). zenon_intro zenon_H419. zenon_intro zenon_H418.
% 54.73/54.91 apply (zenon_and_s _ _ zenon_H418). zenon_intro zenon_H41b. zenon_intro zenon_H41a.
% 54.73/54.91 apply (zenon_and_s _ _ zenon_H41a). zenon_intro zenon_H41c. zenon_intro zenon_H412.
% 54.73/54.91 apply (zenon_or_s _ _ zenon_H41b); [ zenon_intro zenon_H3fe | zenon_intro zenon_Hc4 ].
% 54.73/54.91 apply (zenon_or_s _ _ zenon_H41c); [ zenon_intro zenon_Hd7 | zenon_intro zenon_Hd6 ].
% 54.73/54.91 apply (zenon_or_s _ _ zenon_H412); [ zenon_intro zenon_H73 | zenon_intro zenon_Hfb ].
% 54.73/54.91 apply (zenon_or_s _ _ zenon_H128); [ zenon_intro zenon_H2b | zenon_intro zenon_H134 ].
% 54.73/54.91 apply (zenon_L5_); trivial.
% 54.73/54.91 apply (zenon_or_s _ _ zenon_H134); [ zenon_intro zenon_H4f | zenon_intro zenon_H135 ].
% 54.73/54.91 apply (zenon_L12_); trivial.
% 54.73/54.91 apply (zenon_or_s _ _ zenon_H135); [ zenon_intro zenon_H77 | zenon_intro zenon_H136 ].
% 54.73/54.91 apply (zenon_and_s _ _ zenon_H77). zenon_intro zenon_H57. zenon_intro zenon_H78.
% 54.73/54.91 apply (zenon_and_s _ _ zenon_H78). zenon_intro zenon_H121. zenon_intro zenon_Hda.
% 54.73/54.91 apply (zenon_and_s _ _ zenon_Hda). zenon_intro zenon_Hdc. zenon_intro zenon_Hdb.
% 54.73/54.91 apply (zenon_and_s _ _ zenon_Hdb). zenon_intro zenon_Hde. zenon_intro zenon_Hdd.
% 54.73/54.91 apply (zenon_and_s _ _ zenon_Hdd). zenon_intro zenon_Hd5. zenon_intro zenon_Hdf.
% 54.73/54.91 apply (zenon_L384_); trivial.
% 54.73/54.91 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_H89 | zenon_intro zenon_H137 ].
% 54.73/54.91 apply (zenon_L393_); trivial.
% 54.73/54.91 apply (zenon_or_s _ _ zenon_H137); [ zenon_intro zenon_Hb6 | zenon_intro zenon_H138 ].
% 54.73/54.91 apply (zenon_and_s _ _ zenon_Hb6). zenon_intro zenon_H4e. zenon_intro zenon_Hb8.
% 54.73/54.91 apply (zenon_and_s _ _ zenon_Hb8). zenon_intro zenon_Hb9. zenon_intro zenon_H2e.
% 54.73/54.91 apply (zenon_and_s _ _ zenon_H2e). zenon_intro zenon_H30. zenon_intro zenon_H2f.
% 54.73/54.91 apply (zenon_and_s _ _ zenon_H2f). zenon_intro zenon_Hbb. zenon_intro zenon_Hba.
% 54.73/54.91 apply (zenon_and_s _ _ zenon_Hba). zenon_intro zenon_Hbc. zenon_intro zenon_Haa.
% 54.73/54.92 apply (zenon_or_s _ _ zenon_H30); [ zenon_intro zenon_H31 | zenon_intro zenon_H31 ].
% 54.73/54.92 apply (zenon_L395_); trivial.
% 54.73/54.92 apply (zenon_L395_); trivial.
% 54.73/54.92 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H139 ].
% 54.73/54.92 apply (zenon_L32_); trivial.
% 54.73/54.92 apply (zenon_or_s _ _ zenon_H139); [ zenon_intro zenon_Hc8 | zenon_intro zenon_H13a ].
% 54.73/54.92 apply (zenon_L35_); trivial.
% 54.73/54.92 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_Hcd | zenon_intro zenon_H13b ].
% 54.73/54.92 apply (zenon_L321_); trivial.
% 54.73/54.92 apply (zenon_or_s _ _ zenon_H13b); [ zenon_intro zenon_Hcf | zenon_intro zenon_H13c ].
% 54.73/54.92 apply (zenon_L38_); trivial.
% 54.73/54.92 apply (zenon_or_s _ _ zenon_H13c); [ zenon_intro zenon_Hd1 | zenon_intro zenon_H13d ].
% 54.73/54.92 apply (zenon_L39_); trivial.
% 54.73/54.92 apply (zenon_or_s _ _ zenon_H13d); [ zenon_intro zenon_Hd8 | zenon_intro zenon_H13e ].
% 54.73/54.92 apply (zenon_L41_); trivial.
% 54.73/54.92 apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_He0 | zenon_intro zenon_H13f ].
% 54.73/54.92 apply (zenon_L42_); trivial.
% 54.73/54.92 apply (zenon_or_s _ _ zenon_H13f); [ zenon_intro zenon_He3 | zenon_intro zenon_H140 ].
% 54.73/54.92 apply (zenon_L43_); trivial.
% 54.73/54.92 apply (zenon_or_s _ _ zenon_H140); [ zenon_intro zenon_He6 | zenon_intro zenon_H141 ].
% 54.73/54.92 apply (zenon_L44_); trivial.
% 54.73/54.92 apply (zenon_or_s _ _ zenon_H141); [ zenon_intro zenon_H142 | zenon_intro zenon_H108 ].
% 54.73/54.92 apply (zenon_L396_); trivial.
% 54.73/54.92 apply (zenon_L54_); trivial.
% 54.73/54.92 apply (zenon_L404_); trivial.
% 54.73/54.92 apply (zenon_L417_); trivial.
% 54.73/54.92 apply (zenon_L34_); trivial.
% 54.73/54.92 (* end of lemma zenon_L418_ *)
% 54.73/54.92 assert (zenon_L419_ : ((~((op2 (e20) (e23)) = (e20)))\/(~((op2 (e20) (e20)) = (e23)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> ((e23) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((e20) = (op2 (e21) (e21))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e22)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e20) (e21)) = (e23))\/(((op2 (e20) (e22)) = (e23))\/((op2 (e20) (e23)) = (e23))))) -> ((op2 (e20) (e23)) = (e20)) -> False).
% 54.73/54.92 do 0 intro. intros zenon_Haa zenon_H93 zenon_H3b zenon_H33 zenon_H98 zenon_H9f zenon_Ha5 zenon_H8b.
% 54.73/54.92 apply (zenon_or_s _ _ zenon_Haa); [ zenon_intro zenon_Had | zenon_intro zenon_Ha6 ].
% 54.73/54.92 exact (zenon_Had zenon_H8b).
% 54.73/54.92 apply (zenon_L28_); trivial.
% 54.73/54.92 (* end of lemma zenon_L419_ *)
% 54.73/54.92 assert (zenon_L420_ : (((op2 (e20) (e20)) = (e20))/\(((op2 (e20) (e20)) = (e20))/\(((~((op2 (e20) (e20)) = (e20)))\/(~((op2 (e20) (e20)) = (e20))))/\(((~((op2 (e20) (e21)) = (e20)))\/(~((op2 (e20) (e20)) = (e21))))/\(((~((op2 (e20) (e22)) = (e20)))\/(~((op2 (e20) (e20)) = (e22))))/\((~((op2 (e20) (e23)) = (e20)))\/(~((op2 (e20) (e20)) = (e23))))))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> ((e23) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((e20) = (op2 (e21) (e21))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e22)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e20) (e21)) = (e23))\/(((op2 (e20) (e22)) = (e23))\/((op2 (e20) (e23)) = (e23))))) -> ((op2 (e20) (e23)) = (e20)) -> False).
% 54.73/54.92 do 0 intro. intros zenon_H2b zenon_H93 zenon_H3b zenon_H33 zenon_H98 zenon_H9f zenon_Ha5 zenon_H8b.
% 54.73/54.92 apply (zenon_and_s _ _ zenon_H2b). zenon_intro zenon_H2d. zenon_intro zenon_H2c.
% 54.73/54.92 apply (zenon_and_s _ _ zenon_H2c). zenon_intro zenon_H2d. zenon_intro zenon_H2e.
% 54.73/54.92 apply (zenon_and_s _ _ zenon_H2e). zenon_intro zenon_H30. zenon_intro zenon_H2f.
% 54.73/54.92 apply (zenon_and_s _ _ zenon_H2f). zenon_intro zenon_Hbb. zenon_intro zenon_Hba.
% 54.73/54.92 apply (zenon_and_s _ _ zenon_Hba). zenon_intro zenon_Hbc. zenon_intro zenon_Haa.
% 54.73/54.92 apply (zenon_L419_); trivial.
% 54.73/54.92 (* end of lemma zenon_L420_ *)
% 54.73/54.92 assert (zenon_L421_ : (~((e23) = (e23))) -> False).
% 54.73/54.92 do 0 intro. intros zenon_Hee.
% 54.73/54.92 apply zenon_Hee. apply refl_equal.
% 54.73/54.92 (* end of lemma zenon_L421_ *)
% 54.73/54.92 assert (zenon_L422_ : (~((op2 (e23) (e22)) = (op2 (e23) (op2 (e23) (e20))))) -> ((op2 (e23) (e20)) = (e22)) -> False).
% 54.73/54.92 do 0 intro. intros zenon_H41d zenon_H58.
% 54.73/54.92 cut (((e22) = (op2 (e23) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H59].
% 54.73/54.92 cut (((e23) = (e23))); [idtac | apply NNPP; zenon_intro zenon_Hee].
% 54.73/54.92 congruence.
% 54.73/54.92 apply zenon_Hee. apply refl_equal.
% 54.73/54.92 apply zenon_H59. apply sym_equal. exact zenon_H58.
% 54.73/54.92 (* end of lemma zenon_L422_ *)
% 54.73/54.92 assert (zenon_L423_ : ((op2 (e23) (op2 (e23) (e20))) = (e20)) -> ((op2 (e23) (e20)) = (e22)) -> ((op2 (e20) (e22)) = (e20)) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> False).
% 54.73/54.92 do 0 intro. intros zenon_H41e zenon_H58 zenon_H57 zenon_H3cb.
% 54.73/54.92 elim (classic ((op2 (e23) (e22)) = (op2 (e23) (e22)))); [ zenon_intro zenon_H68 | zenon_intro zenon_H69 ].
% 54.73/54.92 cut (((op2 (e23) (e22)) = (op2 (e23) (e22))) = ((op2 (e20) (e22)) = (op2 (e23) (e22)))).
% 54.73/54.92 intro zenon_D_pnotp.
% 54.73/54.92 apply zenon_H3cb.
% 54.73/54.92 rewrite <- zenon_D_pnotp.
% 54.73/54.92 exact zenon_H68.
% 54.73/54.92 cut (((op2 (e23) (e22)) = (op2 (e23) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H69].
% 54.73/54.92 cut (((op2 (e23) (e22)) = (op2 (e20) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H41f].
% 54.73/54.92 congruence.
% 54.73/54.92 cut (((op2 (e23) (op2 (e23) (e20))) = (e20)) = ((op2 (e23) (e22)) = (op2 (e20) (e22)))).
% 54.73/54.92 intro zenon_D_pnotp.
% 54.73/54.92 apply zenon_H41f.
% 54.73/54.92 rewrite <- zenon_D_pnotp.
% 54.73/54.92 exact zenon_H41e.
% 54.73/54.92 cut (((e20) = (op2 (e20) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H5e].
% 54.73/54.92 cut (((op2 (e23) (op2 (e23) (e20))) = (op2 (e23) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H420].
% 54.73/54.92 congruence.
% 54.73/54.92 elim (classic ((op2 (e23) (e22)) = (op2 (e23) (e22)))); [ zenon_intro zenon_H68 | zenon_intro zenon_H69 ].
% 54.73/54.92 cut (((op2 (e23) (e22)) = (op2 (e23) (e22))) = ((op2 (e23) (op2 (e23) (e20))) = (op2 (e23) (e22)))).
% 54.73/54.92 intro zenon_D_pnotp.
% 54.73/54.92 apply zenon_H420.
% 54.73/54.92 rewrite <- zenon_D_pnotp.
% 54.73/54.92 exact zenon_H68.
% 54.73/54.92 cut (((op2 (e23) (e22)) = (op2 (e23) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H69].
% 54.73/54.92 cut (((op2 (e23) (e22)) = (op2 (e23) (op2 (e23) (e20))))); [idtac | apply NNPP; zenon_intro zenon_H41d].
% 54.73/54.92 congruence.
% 54.73/54.92 apply (zenon_L422_); trivial.
% 54.73/54.92 apply zenon_H69. apply refl_equal.
% 54.73/54.92 apply zenon_H69. apply refl_equal.
% 54.73/54.92 apply zenon_H5e. apply sym_equal. exact zenon_H57.
% 54.73/54.92 apply zenon_H69. apply refl_equal.
% 54.73/54.92 apply zenon_H69. apply refl_equal.
% 54.73/54.92 (* end of lemma zenon_L423_ *)
% 54.73/54.92 assert (zenon_L424_ : (((op2 (e20) (e22)) = (e20))/\(((op2 (e22) (e20)) = (e20))/\(((~((op2 (e22) (e20)) = (e22)))\/(~((op2 (e22) (e22)) = (e20))))/\(((~((op2 (e22) (e21)) = (e22)))\/(~((op2 (e22) (e22)) = (e21))))/\(((~((op2 (e22) (e22)) = (e22)))\/(~((op2 (e22) (e22)) = (e22))))/\((~((op2 (e22) (e23)) = (e22)))\/(~((op2 (e22) (e22)) = (e23))))))))) -> (((op2 (e23) (e20)) = (e22))\/(((op2 (e23) (e21)) = (e22))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> ((op2 (e23) (op2 (e23) (e20))) = (e20)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> ((e22) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> ((e20) = (op2 (e21) (e21))) -> ((e23) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> False).
% 54.73/54.92 do 0 intro. intros zenon_H77 zenon_H74 zenon_H3cb zenon_H41e zenon_H60 zenon_H67 zenon_H3f zenon_H33 zenon_H3b zenon_H6e.
% 54.73/54.92 apply (zenon_and_s _ _ zenon_H77). zenon_intro zenon_H57. zenon_intro zenon_H78.
% 54.73/54.92 apply (zenon_or_s _ _ zenon_H74); [ zenon_intro zenon_H58 | zenon_intro zenon_H75 ].
% 54.73/54.92 apply (zenon_L423_); trivial.
% 54.73/54.92 apply (zenon_or_s _ _ zenon_H75); [ zenon_intro zenon_H5f | zenon_intro zenon_H76 ].
% 54.73/54.92 apply (zenon_L15_); trivial.
% 54.73/54.92 apply (zenon_or_s _ _ zenon_H76); [ zenon_intro zenon_H66 | zenon_intro zenon_H6d ].
% 54.73/54.92 apply (zenon_L16_); trivial.
% 54.73/54.92 apply (zenon_L17_); trivial.
% 54.73/54.92 (* end of lemma zenon_L424_ *)
% 54.73/54.92 assert (zenon_L425_ : (~((op2 (e23) (e20)) = (op2 (e23) (op2 (e23) (e23))))) -> ((op2 (e23) (e23)) = (e20)) -> False).
% 54.73/54.92 do 0 intro. intros zenon_H421 zenon_H380.
% 54.73/54.92 cut (((e20) = (op2 (e23) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H381].
% 54.73/54.92 cut (((e23) = (e23))); [idtac | apply NNPP; zenon_intro zenon_Hee].
% 54.73/54.92 congruence.
% 54.73/54.92 apply zenon_Hee. apply refl_equal.
% 54.73/54.92 apply zenon_H381. apply sym_equal. exact zenon_H380.
% 54.73/54.92 (* end of lemma zenon_L425_ *)
% 54.73/54.92 assert (zenon_L426_ : (~((op2 (e23) (e21)) = (op2 (e23) (op2 (e23) (e23))))) -> ((op2 (e23) (e23)) = (e21)) -> False).
% 54.73/54.92 do 0 intro. intros zenon_H422 zenon_H386.
% 54.73/54.92 cut (((e21) = (op2 (e23) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H3da].
% 54.73/54.92 cut (((e23) = (e23))); [idtac | apply NNPP; zenon_intro zenon_Hee].
% 54.73/54.92 congruence.
% 54.73/54.92 apply zenon_Hee. apply refl_equal.
% 54.73/54.92 apply zenon_H3da. apply sym_equal. exact zenon_H386.
% 54.73/54.92 (* end of lemma zenon_L426_ *)
% 54.73/54.92 assert (zenon_L427_ : (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> ((op2 (e23) (op2 (e23) (e23))) = (e23)) -> ((op2 (e23) (e23)) = (e21)) -> ((op2 (e23) (e22)) = (e23)) -> False).
% 54.73/54.92 do 0 intro. intros zenon_H423 zenon_H424 zenon_H386 zenon_Hfb.
% 54.73/54.92 cut (((op2 (e23) (op2 (e23) (e23))) = (e23)) = ((op2 (e23) (e21)) = (op2 (e23) (e22)))).
% 54.73/54.92 intro zenon_D_pnotp.
% 54.73/54.92 apply zenon_H423.
% 54.73/54.92 rewrite <- zenon_D_pnotp.
% 54.73/54.92 exact zenon_H424.
% 54.73/54.92 cut (((e23) = (op2 (e23) (e22)))); [idtac | apply NNPP; zenon_intro zenon_Hfe].
% 54.73/54.92 cut (((op2 (e23) (op2 (e23) (e23))) = (op2 (e23) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H425].
% 54.73/54.92 congruence.
% 54.73/54.92 elim (classic ((op2 (e23) (e21)) = (op2 (e23) (e21)))); [ zenon_intro zenon_H61 | zenon_intro zenon_H62 ].
% 54.73/54.92 cut (((op2 (e23) (e21)) = (op2 (e23) (e21))) = ((op2 (e23) (op2 (e23) (e23))) = (op2 (e23) (e21)))).
% 54.73/54.92 intro zenon_D_pnotp.
% 54.73/54.92 apply zenon_H425.
% 54.73/54.92 rewrite <- zenon_D_pnotp.
% 54.73/54.92 exact zenon_H61.
% 54.73/54.92 cut (((op2 (e23) (e21)) = (op2 (e23) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H62].
% 54.73/54.92 cut (((op2 (e23) (e21)) = (op2 (e23) (op2 (e23) (e23))))); [idtac | apply NNPP; zenon_intro zenon_H422].
% 54.73/54.92 congruence.
% 54.73/54.92 apply (zenon_L426_); trivial.
% 54.73/54.92 apply zenon_H62. apply refl_equal.
% 54.73/54.92 apply zenon_H62. apply refl_equal.
% 54.73/54.92 apply zenon_Hfe. apply sym_equal. exact zenon_Hfb.
% 54.73/54.92 (* end of lemma zenon_L427_ *)
% 54.73/54.92 assert (zenon_L428_ : (((op2 (e23) (e23)) = (e20))\/(((op2 (e23) (e23)) = (e21))\/(((op2 (e23) (e23)) = (e22))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> ((op2 (e23) (e22)) = (e23)) -> ((op2 (e23) (op2 (e23) (e23))) = (e23)) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> ((e23) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((e20) = (op2 (e21) (e21))) -> ((e22) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> (~((op2 (e23) (e23)) = (e23))) -> False).
% 54.73/54.92 do 0 intro. intros zenon_H382 zenon_H67 zenon_Hfb zenon_H424 zenon_H423 zenon_H6e zenon_H3b zenon_H33 zenon_H3f zenon_H107.
% 54.73/54.92 apply (zenon_or_s _ _ zenon_H382); [ zenon_intro zenon_H380 | zenon_intro zenon_H384 ].
% 54.73/54.92 cut (((op2 (e23) (op2 (e23) (e23))) = (e23)) = ((op2 (e23) (e20)) = (op2 (e23) (e22)))).
% 54.73/54.92 intro zenon_D_pnotp.
% 54.73/54.92 apply zenon_H67.
% 54.73/54.92 rewrite <- zenon_D_pnotp.
% 54.73/54.92 exact zenon_H424.
% 54.73/54.92 cut (((e23) = (op2 (e23) (e22)))); [idtac | apply NNPP; zenon_intro zenon_Hfe].
% 54.73/54.92 cut (((op2 (e23) (op2 (e23) (e23))) = (op2 (e23) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H426].
% 54.73/54.92 congruence.
% 54.73/54.92 elim (classic ((op2 (e23) (e20)) = (op2 (e23) (e20)))); [ zenon_intro zenon_H3a2 | zenon_intro zenon_H83 ].
% 54.73/54.92 cut (((op2 (e23) (e20)) = (op2 (e23) (e20))) = ((op2 (e23) (op2 (e23) (e23))) = (op2 (e23) (e20)))).
% 54.73/54.92 intro zenon_D_pnotp.
% 54.73/54.92 apply zenon_H426.
% 54.73/54.92 rewrite <- zenon_D_pnotp.
% 54.73/54.92 exact zenon_H3a2.
% 54.73/54.92 cut (((op2 (e23) (e20)) = (op2 (e23) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H83].
% 54.73/54.92 cut (((op2 (e23) (e20)) = (op2 (e23) (op2 (e23) (e23))))); [idtac | apply NNPP; zenon_intro zenon_H421].
% 54.73/54.92 congruence.
% 54.73/54.92 apply (zenon_L425_); trivial.
% 54.73/54.92 apply zenon_H83. apply refl_equal.
% 54.73/54.92 apply zenon_H83. apply refl_equal.
% 54.73/54.92 apply zenon_Hfe. apply sym_equal. exact zenon_Hfb.
% 54.73/54.92 apply (zenon_or_s _ _ zenon_H384); [ zenon_intro zenon_H386 | zenon_intro zenon_H385 ].
% 54.73/54.92 apply (zenon_L427_); trivial.
% 54.73/54.92 apply (zenon_or_s _ _ zenon_H385); [ zenon_intro zenon_H6d | zenon_intro zenon_H106 ].
% 54.73/54.92 apply (zenon_L17_); trivial.
% 54.73/54.92 exact (zenon_H107 zenon_H106).
% 54.73/54.92 (* end of lemma zenon_L428_ *)
% 54.73/54.92 assert (zenon_L429_ : (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e23) (e21)) = (e23))) -> ((e22) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> ((e20) = (op2 (e21) (e21))) -> ((e23) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> ((op2 (e23) (op2 (e23) (e23))) = (e23)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (((op2 (e23) (e23)) = (e20))\/(((op2 (e23) (e23)) = (e21))\/(((op2 (e23) (e23)) = (e22))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e23) (e23)) = (e23))) -> False).
% 54.73/54.92 do 0 intro. intros zenon_H3b7 zenon_H55 zenon_H39c zenon_H3f zenon_H33 zenon_H3b zenon_H6e zenon_H423 zenon_H424 zenon_H67 zenon_H382 zenon_H107.
% 54.73/54.92 apply (zenon_or_s _ _ zenon_H3b7); [ zenon_intro zenon_He5 | zenon_intro zenon_H3b8 ].
% 54.73/54.92 apply (zenon_L335_); trivial.
% 54.73/54.92 apply (zenon_or_s _ _ zenon_H3b8); [ zenon_intro zenon_He8 | zenon_intro zenon_H3b9 ].
% 54.73/54.92 exact (zenon_H39c zenon_He8).
% 54.73/54.92 apply (zenon_or_s _ _ zenon_H3b9); [ zenon_intro zenon_Hfb | zenon_intro zenon_H106 ].
% 54.73/54.92 apply (zenon_L428_); trivial.
% 54.73/54.92 exact (zenon_H107 zenon_H106).
% 54.73/54.92 (* end of lemma zenon_L429_ *)
% 54.73/54.92 assert (zenon_L430_ : (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> ((op2 (e23) (op2 (e23) (e23))) = (e23)) -> ((op2 (e23) (e23)) = (e20)) -> ((op2 (e23) (e21)) = (e23)) -> False).
% 54.73/54.92 do 0 intro. intros zenon_H60 zenon_H424 zenon_H380 zenon_He8.
% 54.73/54.92 cut (((op2 (e23) (op2 (e23) (e23))) = (e23)) = ((op2 (e23) (e20)) = (op2 (e23) (e21)))).
% 54.73/54.92 intro zenon_D_pnotp.
% 54.73/54.92 apply zenon_H60.
% 54.73/54.92 rewrite <- zenon_D_pnotp.
% 54.73/54.92 exact zenon_H424.
% 54.73/54.92 cut (((e23) = (op2 (e23) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H39e].
% 54.73/54.92 cut (((op2 (e23) (op2 (e23) (e23))) = (op2 (e23) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H426].
% 54.73/54.92 congruence.
% 54.73/54.92 elim (classic ((op2 (e23) (e20)) = (op2 (e23) (e20)))); [ zenon_intro zenon_H3a2 | zenon_intro zenon_H83 ].
% 54.73/54.92 cut (((op2 (e23) (e20)) = (op2 (e23) (e20))) = ((op2 (e23) (op2 (e23) (e23))) = (op2 (e23) (e20)))).
% 54.73/54.92 intro zenon_D_pnotp.
% 54.73/54.92 apply zenon_H426.
% 54.73/54.92 rewrite <- zenon_D_pnotp.
% 54.73/54.92 exact zenon_H3a2.
% 54.73/54.92 cut (((op2 (e23) (e20)) = (op2 (e23) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H83].
% 54.73/54.92 cut (((op2 (e23) (e20)) = (op2 (e23) (op2 (e23) (e23))))); [idtac | apply NNPP; zenon_intro zenon_H421].
% 54.73/54.92 congruence.
% 54.73/54.92 apply (zenon_L425_); trivial.
% 54.73/54.92 apply zenon_H83. apply refl_equal.
% 54.73/54.92 apply zenon_H83. apply refl_equal.
% 54.73/54.92 apply zenon_H39e. apply sym_equal. exact zenon_He8.
% 54.73/54.92 (* end of lemma zenon_L430_ *)
% 54.76/54.92 assert (zenon_L431_ : (((op2 (e23) (e23)) = (e20))\/(((op2 (e23) (e23)) = (e21))\/(((op2 (e23) (e23)) = (e22))\/((op2 (e23) (e23)) = (e23))))) -> ((op2 (e23) (e21)) = (e23)) -> ((op2 (e23) (op2 (e23) (e23))) = (e23)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((op2 (e23) (e23)) = (e21))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> ((e23) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((e20) = (op2 (e21) (e21))) -> ((e22) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> (~((op2 (e23) (e23)) = (e23))) -> False).
% 54.76/54.92 do 0 intro. intros zenon_H382 zenon_He8 zenon_H424 zenon_H60 zenon_H383 zenon_H6e zenon_H3b zenon_H33 zenon_H3f zenon_H107.
% 54.76/54.92 apply (zenon_or_s _ _ zenon_H382); [ zenon_intro zenon_H380 | zenon_intro zenon_H384 ].
% 54.76/54.92 apply (zenon_L430_); trivial.
% 54.76/54.92 apply (zenon_or_s _ _ zenon_H384); [ zenon_intro zenon_H386 | zenon_intro zenon_H385 ].
% 54.76/54.92 exact (zenon_H383 zenon_H386).
% 54.76/54.92 apply (zenon_or_s _ _ zenon_H385); [ zenon_intro zenon_H6d | zenon_intro zenon_H106 ].
% 54.76/54.92 apply (zenon_L17_); trivial.
% 54.76/54.92 exact (zenon_H107 zenon_H106).
% 54.76/54.92 (* end of lemma zenon_L431_ *)
% 54.76/54.92 assert (zenon_L432_ : (((op2 (e23) (e23)) = (e20))\/(((op2 (e23) (e23)) = (e21))\/(((op2 (e23) (e23)) = (e22))\/((op2 (e23) (e23)) = (e23))))) -> ((op2 (e23) (e21)) = (e23)) -> ((op2 (e23) (op2 (e23) (e23))) = (e23)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((op2 (e23) (e23)) = (e21))) -> (~((op2 (e23) (e23)) = (e22))) -> (~((op2 (e23) (e23)) = (e23))) -> False).
% 54.76/54.92 do 0 intro. intros zenon_H382 zenon_He8 zenon_H424 zenon_H60 zenon_H383 zenon_H73 zenon_H107.
% 54.76/54.92 apply (zenon_or_s _ _ zenon_H382); [ zenon_intro zenon_H380 | zenon_intro zenon_H384 ].
% 54.76/54.92 apply (zenon_L430_); trivial.
% 54.76/54.92 apply (zenon_or_s _ _ zenon_H384); [ zenon_intro zenon_H386 | zenon_intro zenon_H385 ].
% 54.76/54.92 exact (zenon_H383 zenon_H386).
% 54.76/54.92 apply (zenon_or_s _ _ zenon_H385); [ zenon_intro zenon_H6d | zenon_intro zenon_H106 ].
% 54.76/54.92 exact (zenon_H73 zenon_H6d).
% 54.76/54.92 exact (zenon_H107 zenon_H106).
% 54.76/54.92 (* end of lemma zenon_L432_ *)
% 54.76/54.92 assert (zenon_L433_ : (((op2 (e23) (e23)) = (e20))\/(((op2 (e23) (e23)) = (e21))\/(((op2 (e23) (e23)) = (e22))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e23) (e23)) = (e20))) -> (~((op2 (e23) (e23)) = (e21))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> ((e23) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((e20) = (op2 (e21) (e21))) -> ((e22) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> (~((op2 (e23) (e23)) = (e23))) -> False).
% 54.76/54.92 do 0 intro. intros zenon_H382 zenon_H427 zenon_H383 zenon_H6e zenon_H3b zenon_H33 zenon_H3f zenon_H107.
% 54.76/54.92 apply (zenon_or_s _ _ zenon_H382); [ zenon_intro zenon_H380 | zenon_intro zenon_H384 ].
% 54.76/54.92 exact (zenon_H427 zenon_H380).
% 54.76/54.92 apply (zenon_or_s _ _ zenon_H384); [ zenon_intro zenon_H386 | zenon_intro zenon_H385 ].
% 54.76/54.92 exact (zenon_H383 zenon_H386).
% 54.76/54.92 apply (zenon_or_s _ _ zenon_H385); [ zenon_intro zenon_H6d | zenon_intro zenon_H106 ].
% 54.76/54.92 apply (zenon_L17_); trivial.
% 54.76/54.92 exact (zenon_H107 zenon_H106).
% 54.76/54.92 (* end of lemma zenon_L433_ *)
% 54.76/54.92 assert (zenon_L434_ : ((~((op2 (e23) (e20)) = (e23)))\/(~((op2 (e23) (e23)) = (e20)))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> ((op2 (e23) (op2 (e23) (e23))) = (e23)) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> ((e22) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> (~((op2 (e23) (e23)) = (e23))) -> (((op2 (e23) (e23)) = (e20))\/(((op2 (e23) (e23)) = (e21))\/(((op2 (e23) (e23)) = (e22))\/((op2 (e23) (e23)) = (e23))))) -> ((e20) = (op2 (e21) (e21))) -> ((e23) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> (~((op2 (e20) (e20)) = (op2 (e23) (e20)))) -> ((~((op2 (e23) (e22)) = (e23)))\/(~((op2 (e23) (e23)) = (e22)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> ((~((op2 (e23) (e21)) = (e23)))\/(~((op2 (e23) (e23)) = (e21)))) -> False).
% 54.76/54.92 do 0 intro. intros zenon_H10b zenon_H3b7 zenon_H67 zenon_H424 zenon_H423 zenon_H6e zenon_H3f zenon_H107 zenon_H382 zenon_H33 zenon_H3b zenon_H55 zenon_H10e zenon_H60 zenon_H10d.
% 54.76/54.92 apply (zenon_or_s _ _ zenon_H10b); [ zenon_intro zenon_H3a5 | zenon_intro zenon_H427 ].
% 54.76/54.92 apply (zenon_or_s _ _ zenon_H10d); [ zenon_intro zenon_H39c | zenon_intro zenon_H383 ].
% 54.76/54.92 apply (zenon_L429_); trivial.
% 54.76/54.92 apply (zenon_or_s _ _ zenon_H10e); [ zenon_intro zenon_Hff | zenon_intro zenon_H73 ].
% 54.76/54.92 apply (zenon_or_s _ _ zenon_H3b7); [ zenon_intro zenon_He5 | zenon_intro zenon_H3b8 ].
% 54.76/54.92 exact (zenon_H3a5 zenon_He5).
% 54.76/54.92 apply (zenon_or_s _ _ zenon_H3b8); [ zenon_intro zenon_He8 | zenon_intro zenon_H3b9 ].
% 54.76/54.92 apply (zenon_L431_); trivial.
% 54.76/54.92 apply (zenon_or_s _ _ zenon_H3b9); [ zenon_intro zenon_Hfb | zenon_intro zenon_H106 ].
% 54.76/54.92 exact (zenon_Hff zenon_Hfb).
% 54.76/54.92 exact (zenon_H107 zenon_H106).
% 54.76/54.92 apply (zenon_or_s _ _ zenon_H3b7); [ zenon_intro zenon_He5 | zenon_intro zenon_H3b8 ].
% 54.76/54.92 exact (zenon_H3a5 zenon_He5).
% 54.76/54.92 apply (zenon_or_s _ _ zenon_H3b8); [ zenon_intro zenon_He8 | zenon_intro zenon_H3b9 ].
% 54.76/54.92 apply (zenon_L432_); trivial.
% 54.76/54.92 apply (zenon_or_s _ _ zenon_H3b9); [ zenon_intro zenon_Hfb | zenon_intro zenon_H106 ].
% 54.76/54.92 apply (zenon_L428_); trivial.
% 54.76/54.92 exact (zenon_H107 zenon_H106).
% 54.76/54.92 apply (zenon_or_s _ _ zenon_H10d); [ zenon_intro zenon_H39c | zenon_intro zenon_H383 ].
% 54.76/54.92 apply (zenon_L429_); trivial.
% 54.76/54.92 apply (zenon_L433_); trivial.
% 54.76/54.92 (* end of lemma zenon_L434_ *)
% 54.76/54.92 assert (zenon_L435_ : (((op2 (e20) (e23)) = (e20))/\(((op2 (e23) (e20)) = (e20))/\(((~((op2 (e23) (e20)) = (e23)))\/(~((op2 (e23) (e23)) = (e20))))/\(((~((op2 (e23) (e21)) = (e23)))\/(~((op2 (e23) (e23)) = (e21))))/\(((~((op2 (e23) (e22)) = (e23)))\/(~((op2 (e23) (e23)) = (e22))))/\((~((op2 (e23) (e23)) = (e23)))\/(~((op2 (e23) (e23)) = (e23))))))))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> ((op2 (e23) (op2 (e23) (e23))) = (e23)) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> ((e22) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> (~((op2 (e23) (e23)) = (e23))) -> (((op2 (e23) (e23)) = (e20))\/(((op2 (e23) (e23)) = (e21))\/(((op2 (e23) (e23)) = (e22))\/((op2 (e23) (e23)) = (e23))))) -> ((e20) = (op2 (e21) (e21))) -> ((e23) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> (~((op2 (e20) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> False).
% 54.76/54.92 do 0 intro. intros zenon_H89 zenon_H3b7 zenon_H67 zenon_H424 zenon_H423 zenon_H6e zenon_H3f zenon_H107 zenon_H382 zenon_H33 zenon_H3b zenon_H55 zenon_H60.
% 54.76/54.92 apply (zenon_and_s _ _ zenon_H89). zenon_intro zenon_H8b. zenon_intro zenon_H8a.
% 54.76/54.92 apply (zenon_and_s _ _ zenon_H8a). zenon_intro zenon_H80. zenon_intro zenon_H8c.
% 54.76/54.92 apply (zenon_and_s _ _ zenon_H8c). zenon_intro zenon_H10b. zenon_intro zenon_H10a.
% 54.76/54.92 apply (zenon_and_s _ _ zenon_H10a). zenon_intro zenon_H10d. zenon_intro zenon_H10c.
% 54.76/54.92 apply (zenon_and_s _ _ zenon_H10c). zenon_intro zenon_H10e. zenon_intro zenon_H105.
% 54.76/54.92 apply (zenon_L434_); trivial.
% 54.76/54.92 (* end of lemma zenon_L435_ *)
% 54.76/54.92 assert (zenon_L436_ : (((op2 (e21) (e20)) = (e21))/\(((op2 (e20) (e21)) = (e21))/\(((~((op2 (e20) (e20)) = (e20)))\/(~((op2 (e20) (e20)) = (e20))))/\(((~((op2 (e20) (e21)) = (e20)))\/(~((op2 (e20) (e20)) = (e21))))/\(((~((op2 (e20) (e22)) = (e20)))\/(~((op2 (e20) (e20)) = (e22))))/\((~((op2 (e20) (e23)) = (e20)))\/(~((op2 (e20) (e20)) = (e23))))))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> ((e23) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((e20) = (op2 (e21) (e21))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e22)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e20) (e21)) = (e23))\/(((op2 (e20) (e22)) = (e23))\/((op2 (e20) (e23)) = (e23))))) -> ((op2 (e20) (e23)) = (e20)) -> False).
% 54.76/54.92 do 0 intro. intros zenon_Hb6 zenon_H93 zenon_H3b zenon_H33 zenon_H98 zenon_H9f zenon_Ha5 zenon_H8b.
% 54.76/54.92 apply (zenon_and_s _ _ zenon_Hb6). zenon_intro zenon_H4e. zenon_intro zenon_Hb8.
% 54.76/54.92 apply (zenon_and_s _ _ zenon_Hb8). zenon_intro zenon_Hb9. zenon_intro zenon_H2e.
% 54.76/54.92 apply (zenon_and_s _ _ zenon_H2e). zenon_intro zenon_H30. zenon_intro zenon_H2f.
% 54.76/54.92 apply (zenon_and_s _ _ zenon_H2f). zenon_intro zenon_Hbb. zenon_intro zenon_Hba.
% 54.76/54.92 apply (zenon_and_s _ _ zenon_Hba). zenon_intro zenon_Hbc. zenon_intro zenon_Haa.
% 54.76/54.92 apply (zenon_L419_); trivial.
% 54.76/54.92 (* end of lemma zenon_L436_ *)
% 54.76/54.92 assert (zenon_L437_ : (~((op2 (e23) (e23)) = (op2 (e23) (op2 (e23) (e21))))) -> ((op2 (e23) (e21)) = (e23)) -> False).
% 54.76/54.92 do 0 intro. intros zenon_H428 zenon_He8.
% 54.76/54.92 cut (((e23) = (op2 (e23) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H39e].
% 54.76/54.92 cut (((e23) = (e23))); [idtac | apply NNPP; zenon_intro zenon_Hee].
% 54.76/54.92 congruence.
% 54.76/54.92 apply zenon_Hee. apply refl_equal.
% 54.76/54.92 apply zenon_H39e. apply sym_equal. exact zenon_He8.
% 54.76/54.92 (* end of lemma zenon_L437_ *)
% 54.76/54.92 assert (zenon_L438_ : ((op2 (e23) (op2 (e23) (e21))) = (e21)) -> ((op2 (e23) (e21)) = (e23)) -> ((op2 (e23) (e20)) = (e21)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> False).
% 54.76/54.92 do 0 intro. intros zenon_H429 zenon_He8 zenon_H42a zenon_H6e.
% 54.76/54.92 elim (classic ((op2 (e23) (e23)) = (op2 (e23) (e23)))); [ zenon_intro zenon_H6f | zenon_intro zenon_H70 ].
% 54.76/54.92 cut (((op2 (e23) (e23)) = (op2 (e23) (e23))) = ((op2 (e23) (e20)) = (op2 (e23) (e23)))).
% 54.76/54.92 intro zenon_D_pnotp.
% 54.76/54.92 apply zenon_H6e.
% 54.76/54.92 rewrite <- zenon_D_pnotp.
% 54.76/54.92 exact zenon_H6f.
% 54.76/54.92 cut (((op2 (e23) (e23)) = (op2 (e23) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H70].
% 54.76/54.92 cut (((op2 (e23) (e23)) = (op2 (e23) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H71].
% 54.76/54.92 congruence.
% 54.76/54.92 cut (((op2 (e23) (op2 (e23) (e21))) = (e21)) = ((op2 (e23) (e23)) = (op2 (e23) (e20)))).
% 54.76/54.92 intro zenon_D_pnotp.
% 54.76/54.92 apply zenon_H71.
% 54.76/54.92 rewrite <- zenon_D_pnotp.
% 54.76/54.92 exact zenon_H429.
% 54.76/54.92 cut (((e21) = (op2 (e23) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H42b].
% 54.76/54.92 cut (((op2 (e23) (op2 (e23) (e21))) = (op2 (e23) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H42c].
% 54.76/54.92 congruence.
% 54.76/54.92 elim (classic ((op2 (e23) (e23)) = (op2 (e23) (e23)))); [ zenon_intro zenon_H6f | zenon_intro zenon_H70 ].
% 54.76/54.92 cut (((op2 (e23) (e23)) = (op2 (e23) (e23))) = ((op2 (e23) (op2 (e23) (e21))) = (op2 (e23) (e23)))).
% 54.76/54.92 intro zenon_D_pnotp.
% 54.76/54.92 apply zenon_H42c.
% 54.76/54.92 rewrite <- zenon_D_pnotp.
% 54.76/54.92 exact zenon_H6f.
% 54.76/54.92 cut (((op2 (e23) (e23)) = (op2 (e23) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H70].
% 54.76/54.92 cut (((op2 (e23) (e23)) = (op2 (e23) (op2 (e23) (e21))))); [idtac | apply NNPP; zenon_intro zenon_H428].
% 54.76/54.92 congruence.
% 54.76/54.92 apply (zenon_L437_); trivial.
% 54.76/54.92 apply zenon_H70. apply refl_equal.
% 54.76/54.92 apply zenon_H70. apply refl_equal.
% 54.76/54.92 apply zenon_H42b. apply sym_equal. exact zenon_H42a.
% 54.76/54.92 apply zenon_H70. apply refl_equal.
% 54.76/54.92 apply zenon_H70. apply refl_equal.
% 54.76/54.92 (* end of lemma zenon_L438_ *)
% 54.76/54.92 assert (zenon_L439_ : (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e23) (e20)))) -> ((op2 (e23) (e20)) = (e21)) -> ((op2 (e23) (op2 (e23) (e21))) = (e21)) -> ((e22) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> ((e20) = (op2 (e21) (e21))) -> ((e23) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> ((op2 (e23) (op2 (e23) (e23))) = (e23)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (((op2 (e23) (e23)) = (e20))\/(((op2 (e23) (e23)) = (e21))\/(((op2 (e23) (e23)) = (e22))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e23) (e23)) = (e23))) -> False).
% 54.76/54.92 do 0 intro. intros zenon_H3b7 zenon_H55 zenon_H42a zenon_H429 zenon_H3f zenon_H33 zenon_H3b zenon_H6e zenon_H423 zenon_H424 zenon_H67 zenon_H382 zenon_H107.
% 54.76/54.92 apply (zenon_or_s _ _ zenon_H3b7); [ zenon_intro zenon_He5 | zenon_intro zenon_H3b8 ].
% 54.76/54.92 apply (zenon_L335_); trivial.
% 54.76/54.92 apply (zenon_or_s _ _ zenon_H3b8); [ zenon_intro zenon_He8 | zenon_intro zenon_H3b9 ].
% 54.76/54.92 apply (zenon_L438_); trivial.
% 54.76/54.92 apply (zenon_or_s _ _ zenon_H3b9); [ zenon_intro zenon_Hfb | zenon_intro zenon_H106 ].
% 54.76/54.92 apply (zenon_L428_); trivial.
% 54.76/54.92 exact (zenon_H107 zenon_H106).
% 54.76/54.92 (* end of lemma zenon_L439_ *)
% 54.76/54.92 assert (zenon_L440_ : (~((op2 (e23) (e21)) = (op2 (e23) (op2 (e23) (e21))))) -> ((op2 (e23) (e21)) = (e21)) -> False).
% 54.76/54.92 do 0 intro. intros zenon_H42d zenon_H283.
% 54.76/54.92 cut (((e21) = (op2 (e23) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H284].
% 54.76/54.92 cut (((e23) = (e23))); [idtac | apply NNPP; zenon_intro zenon_Hee].
% 54.76/54.92 congruence.
% 54.76/54.92 apply zenon_Hee. apply refl_equal.
% 54.76/54.92 apply zenon_H284. apply sym_equal. exact zenon_H283.
% 54.76/54.92 (* end of lemma zenon_L440_ *)
% 54.76/54.92 assert (zenon_L441_ : ((op2 (e23) (op2 (e23) (e21))) = (e21)) -> ((op2 (e23) (e21)) = (e21)) -> ((op2 (e22) (e21)) = (e21)) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> False).
% 54.76/54.92 do 0 intro. intros zenon_H429 zenon_H283 zenon_H27f zenon_H3c5.
% 54.76/54.92 elim (classic ((op2 (e23) (e21)) = (op2 (e23) (e21)))); [ zenon_intro zenon_H61 | zenon_intro zenon_H62 ].
% 54.76/54.92 cut (((op2 (e23) (e21)) = (op2 (e23) (e21))) = ((op2 (e22) (e21)) = (op2 (e23) (e21)))).
% 54.76/54.92 intro zenon_D_pnotp.
% 54.76/54.92 apply zenon_H3c5.
% 54.76/54.92 rewrite <- zenon_D_pnotp.
% 54.76/54.92 exact zenon_H61.
% 54.76/54.92 cut (((op2 (e23) (e21)) = (op2 (e23) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H62].
% 54.76/54.92 cut (((op2 (e23) (e21)) = (op2 (e22) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H42e].
% 54.76/54.92 congruence.
% 54.76/54.92 cut (((op2 (e23) (op2 (e23) (e21))) = (e21)) = ((op2 (e23) (e21)) = (op2 (e22) (e21)))).
% 54.76/54.92 intro zenon_D_pnotp.
% 54.76/54.92 apply zenon_H42e.
% 54.76/54.92 rewrite <- zenon_D_pnotp.
% 54.76/54.92 exact zenon_H429.
% 54.76/54.92 cut (((e21) = (op2 (e22) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H3cd].
% 54.76/54.92 cut (((op2 (e23) (op2 (e23) (e21))) = (op2 (e23) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H42f].
% 54.76/54.92 congruence.
% 54.76/54.92 elim (classic ((op2 (e23) (e21)) = (op2 (e23) (e21)))); [ zenon_intro zenon_H61 | zenon_intro zenon_H62 ].
% 54.76/54.92 cut (((op2 (e23) (e21)) = (op2 (e23) (e21))) = ((op2 (e23) (op2 (e23) (e21))) = (op2 (e23) (e21)))).
% 54.76/54.92 intro zenon_D_pnotp.
% 54.76/54.92 apply zenon_H42f.
% 54.76/54.92 rewrite <- zenon_D_pnotp.
% 54.76/54.92 exact zenon_H61.
% 54.76/54.92 cut (((op2 (e23) (e21)) = (op2 (e23) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H62].
% 54.76/54.92 cut (((op2 (e23) (e21)) = (op2 (e23) (op2 (e23) (e21))))); [idtac | apply NNPP; zenon_intro zenon_H42d].
% 54.76/54.92 congruence.
% 54.76/54.92 apply (zenon_L440_); trivial.
% 54.76/54.92 apply zenon_H62. apply refl_equal.
% 54.76/54.92 apply zenon_H62. apply refl_equal.
% 54.76/54.92 apply zenon_H3cd. apply sym_equal. exact zenon_H27f.
% 54.76/54.92 apply zenon_H62. apply refl_equal.
% 54.76/54.92 apply zenon_H62. apply refl_equal.
% 54.76/54.92 (* end of lemma zenon_L441_ *)
% 54.76/54.92 assert (zenon_L442_ : (~((op2 (e23) (e21)) = (op2 (e23) (op2 (e23) (e22))))) -> ((op2 (e23) (e22)) = (e21)) -> False).
% 54.76/54.92 do 0 intro. intros zenon_H430 zenon_H3d1.
% 54.76/54.92 cut (((e21) = (op2 (e23) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H3d2].
% 54.76/54.92 cut (((e23) = (e23))); [idtac | apply NNPP; zenon_intro zenon_Hee].
% 54.76/54.92 congruence.
% 54.76/54.92 apply zenon_Hee. apply refl_equal.
% 54.76/54.92 apply zenon_H3d2. apply sym_equal. exact zenon_H3d1.
% 54.76/54.92 (* end of lemma zenon_L442_ *)
% 54.76/54.92 assert (zenon_L443_ : ((op2 (e23) (op2 (e23) (e22))) = (e22)) -> ((op2 (e23) (e22)) = (e21)) -> ((op2 (e20) (e21)) = (e22)) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> False).
% 54.76/54.92 do 0 intro. intros zenon_H431 zenon_H3d1 zenon_H285 zenon_H282.
% 54.76/54.92 elim (classic ((op2 (e23) (e21)) = (op2 (e23) (e21)))); [ zenon_intro zenon_H61 | zenon_intro zenon_H62 ].
% 54.76/54.92 cut (((op2 (e23) (e21)) = (op2 (e23) (e21))) = ((op2 (e20) (e21)) = (op2 (e23) (e21)))).
% 54.76/54.92 intro zenon_D_pnotp.
% 54.76/54.92 apply zenon_H282.
% 54.76/54.92 rewrite <- zenon_D_pnotp.
% 54.76/54.92 exact zenon_H61.
% 54.76/54.92 cut (((op2 (e23) (e21)) = (op2 (e23) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H62].
% 54.76/54.92 cut (((op2 (e23) (e21)) = (op2 (e20) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H3a7].
% 54.76/54.92 congruence.
% 54.76/54.92 cut (((op2 (e23) (op2 (e23) (e22))) = (e22)) = ((op2 (e23) (e21)) = (op2 (e20) (e21)))).
% 54.76/54.92 intro zenon_D_pnotp.
% 54.76/54.92 apply zenon_H3a7.
% 54.76/54.92 rewrite <- zenon_D_pnotp.
% 54.76/54.92 exact zenon_H431.
% 54.76/54.92 cut (((e22) = (op2 (e20) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H288].
% 54.76/54.92 cut (((op2 (e23) (op2 (e23) (e22))) = (op2 (e23) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H432].
% 54.76/54.92 congruence.
% 54.76/54.92 elim (classic ((op2 (e23) (e21)) = (op2 (e23) (e21)))); [ zenon_intro zenon_H61 | zenon_intro zenon_H62 ].
% 54.76/54.92 cut (((op2 (e23) (e21)) = (op2 (e23) (e21))) = ((op2 (e23) (op2 (e23) (e22))) = (op2 (e23) (e21)))).
% 54.76/54.92 intro zenon_D_pnotp.
% 54.76/54.92 apply zenon_H432.
% 54.76/54.92 rewrite <- zenon_D_pnotp.
% 54.76/54.92 exact zenon_H61.
% 54.76/54.92 cut (((op2 (e23) (e21)) = (op2 (e23) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H62].
% 54.76/54.92 cut (((op2 (e23) (e21)) = (op2 (e23) (op2 (e23) (e22))))); [idtac | apply NNPP; zenon_intro zenon_H430].
% 54.76/54.92 congruence.
% 54.76/54.92 apply (zenon_L442_); trivial.
% 54.76/54.92 apply zenon_H62. apply refl_equal.
% 54.76/54.92 apply zenon_H62. apply refl_equal.
% 54.76/54.92 apply zenon_H288. apply sym_equal. exact zenon_H285.
% 54.76/54.92 apply zenon_H62. apply refl_equal.
% 54.76/54.92 apply zenon_H62. apply refl_equal.
% 54.76/54.92 (* end of lemma zenon_L443_ *)
% 54.76/54.92 assert (zenon_L444_ : ((op2 (e23) (op2 (e23) (e23))) = (e23)) -> ((op2 (e23) (e23)) = (e21)) -> ((op2 (e22) (e21)) = (e23)) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> False).
% 54.76/54.92 do 0 intro. intros zenon_H424 zenon_H386 zenon_H3ba zenon_H3c5.
% 54.76/54.92 elim (classic ((op2 (e23) (e21)) = (op2 (e23) (e21)))); [ zenon_intro zenon_H61 | zenon_intro zenon_H62 ].
% 54.76/54.92 cut (((op2 (e23) (e21)) = (op2 (e23) (e21))) = ((op2 (e22) (e21)) = (op2 (e23) (e21)))).
% 54.76/54.92 intro zenon_D_pnotp.
% 54.76/54.92 apply zenon_H3c5.
% 54.76/54.92 rewrite <- zenon_D_pnotp.
% 54.76/54.92 exact zenon_H61.
% 54.76/54.92 cut (((op2 (e23) (e21)) = (op2 (e23) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H62].
% 54.76/54.92 cut (((op2 (e23) (e21)) = (op2 (e22) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H42e].
% 54.76/54.92 congruence.
% 54.76/54.92 cut (((op2 (e23) (op2 (e23) (e23))) = (e23)) = ((op2 (e23) (e21)) = (op2 (e22) (e21)))).
% 54.76/54.92 intro zenon_D_pnotp.
% 54.76/54.92 apply zenon_H42e.
% 54.76/54.92 rewrite <- zenon_D_pnotp.
% 54.76/54.92 exact zenon_H424.
% 54.76/54.92 cut (((e23) = (op2 (e22) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H3bb].
% 54.76/54.92 cut (((op2 (e23) (op2 (e23) (e23))) = (op2 (e23) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H425].
% 54.76/54.92 congruence.
% 54.76/54.92 elim (classic ((op2 (e23) (e21)) = (op2 (e23) (e21)))); [ zenon_intro zenon_H61 | zenon_intro zenon_H62 ].
% 54.76/54.92 cut (((op2 (e23) (e21)) = (op2 (e23) (e21))) = ((op2 (e23) (op2 (e23) (e23))) = (op2 (e23) (e21)))).
% 54.76/54.92 intro zenon_D_pnotp.
% 54.76/54.92 apply zenon_H425.
% 54.76/54.92 rewrite <- zenon_D_pnotp.
% 54.76/54.92 exact zenon_H61.
% 54.76/54.92 cut (((op2 (e23) (e21)) = (op2 (e23) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H62].
% 54.76/54.92 cut (((op2 (e23) (e21)) = (op2 (e23) (op2 (e23) (e23))))); [idtac | apply NNPP; zenon_intro zenon_H422].
% 54.76/54.92 congruence.
% 54.76/54.92 apply (zenon_L426_); trivial.
% 54.76/54.92 apply zenon_H62. apply refl_equal.
% 54.76/54.92 apply zenon_H62. apply refl_equal.
% 54.76/54.92 apply zenon_H3bb. apply sym_equal. exact zenon_H3ba.
% 54.76/54.92 apply zenon_H62. apply refl_equal.
% 54.76/54.92 apply zenon_H62. apply refl_equal.
% 54.76/54.92 (* end of lemma zenon_L444_ *)
% 54.76/54.92 assert (zenon_L445_ : (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((op2 (e23) (e23)) = (e23))) -> (((op2 (e23) (e23)) = (e20))\/(((op2 (e23) (e23)) = (e21))\/(((op2 (e23) (e23)) = (e22))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> ((e23) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((e20) = (op2 (e21) (e21))) -> ((e22) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> (~((op2 (e20) (e20)) = (op2 (e23) (e20)))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> ((op2 (e22) (e21)) = (e21)) -> ((op2 (e23) (op2 (e23) (e21))) = (e21)) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> ((op2 (e20) (e21)) = (e22)) -> ((op2 (e23) (op2 (e23) (e22))) = (e22)) -> ((op2 (e23) (op2 (e23) (e23))) = (e23)) -> ((op2 (e22) (e21)) = (e23)) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> False).
% 54.76/54.92 do 0 intro. intros zenon_H433 zenon_H107 zenon_H382 zenon_H67 zenon_H423 zenon_H6e zenon_H3b zenon_H33 zenon_H3f zenon_H55 zenon_H3b7 zenon_H27f zenon_H429 zenon_H282 zenon_H285 zenon_H431 zenon_H424 zenon_H3ba zenon_H3c5.
% 54.76/54.92 apply (zenon_or_s _ _ zenon_H433); [ zenon_intro zenon_H42a | zenon_intro zenon_H434 ].
% 54.76/54.92 apply (zenon_L439_); trivial.
% 54.76/54.92 apply (zenon_or_s _ _ zenon_H434); [ zenon_intro zenon_H283 | zenon_intro zenon_H435 ].
% 54.76/54.92 apply (zenon_L441_); trivial.
% 54.76/54.92 apply (zenon_or_s _ _ zenon_H435); [ zenon_intro zenon_H3d1 | zenon_intro zenon_H386 ].
% 54.76/54.92 apply (zenon_L443_); trivial.
% 54.76/54.92 apply (zenon_L444_); trivial.
% 54.76/54.92 (* end of lemma zenon_L445_ *)
% 54.76/54.92 assert (zenon_L446_ : (((op2 (e23) (e23)) = (e20))\/(((op2 (e23) (e23)) = (e21))\/(((op2 (e23) (e23)) = (e22))\/((op2 (e23) (e23)) = (e23))))) -> ((op2 (e23) (e21)) = (e23)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> ((op2 (e22) (e21)) = (e23)) -> ((op2 (e23) (op2 (e23) (e23))) = (e23)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> ((e23) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((e20) = (op2 (e21) (e21))) -> ((e22) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> (~((op2 (e23) (e23)) = (e23))) -> False).
% 54.76/54.92 do 0 intro. intros zenon_H382 zenon_He8 zenon_H60 zenon_H3c5 zenon_H3ba zenon_H424 zenon_H6e zenon_H3b zenon_H33 zenon_H3f zenon_H107.
% 54.76/54.92 apply (zenon_or_s _ _ zenon_H382); [ zenon_intro zenon_H380 | zenon_intro zenon_H384 ].
% 54.76/54.92 apply (zenon_L430_); trivial.
% 54.76/54.92 apply (zenon_or_s _ _ zenon_H384); [ zenon_intro zenon_H386 | zenon_intro zenon_H385 ].
% 54.76/54.92 apply (zenon_L444_); trivial.
% 54.76/54.92 apply (zenon_or_s _ _ zenon_H385); [ zenon_intro zenon_H6d | zenon_intro zenon_H106 ].
% 54.76/54.92 apply (zenon_L17_); trivial.
% 54.76/54.92 exact (zenon_H107 zenon_H106).
% 54.76/54.92 (* end of lemma zenon_L446_ *)
% 54.76/54.92 assert (zenon_L447_ : (((op2 (e22) (e20)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e22) (e23)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> (~((op2 (e23) (e23)) = (e23))) -> ((e22) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> ((e20) = (op2 (e21) (e21))) -> ((e23) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> ((op2 (e23) (op2 (e23) (e23))) = (e23)) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> ((op2 (e23) (e21)) = (e23)) -> (((op2 (e23) (e23)) = (e20))\/(((op2 (e23) (e23)) = (e21))\/(((op2 (e23) (e23)) = (e22))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e22) (e22)) = (e23))) -> ((op2 (e22) (e23)) = (e22)) -> (~((e22) = (e23))) -> False).
% 54.76/54.92 do 0 intro. intros zenon_H3f1 zenon_H11f zenon_H107 zenon_H3f zenon_H33 zenon_H3b zenon_H6e zenon_H424 zenon_H3c5 zenon_H60 zenon_He8 zenon_H382 zenon_H37f zenon_He2 zenon_Hec.
% 54.76/54.92 apply (zenon_or_s _ _ zenon_H3f1); [ zenon_intro zenon_H3df | zenon_intro zenon_H3f2 ].
% 54.76/54.92 apply (zenon_L364_); trivial.
% 54.76/54.92 apply (zenon_or_s _ _ zenon_H3f2); [ zenon_intro zenon_H3ba | zenon_intro zenon_H3f3 ].
% 54.76/54.92 apply (zenon_L446_); trivial.
% 54.76/54.92 apply (zenon_or_s _ _ zenon_H3f3); [ zenon_intro zenon_Hf6 | zenon_intro zenon_Heb ].
% 54.76/54.92 exact (zenon_H37f zenon_Hf6).
% 54.76/54.92 apply (zenon_L46_); trivial.
% 54.76/54.92 (* end of lemma zenon_L447_ *)
% 54.76/54.92 assert (zenon_L448_ : (~((op2 (op2 (e21) (e21)) (op2 (e21) (e21))) = (op2 (e20) (e22)))) -> ((op2 (e21) (e21)) = (e22)) -> ((e20) = (op2 (e21) (e21))) -> False).
% 54.76/54.92 do 0 intro. intros zenon_H436 zenon_H401 zenon_H33.
% 54.76/54.92 cut (((op2 (e21) (e21)) = (e22))); [idtac | apply NNPP; zenon_intro zenon_H3fe].
% 54.76/54.92 cut (((op2 (e21) (e21)) = (e20))); [idtac | apply NNPP; zenon_intro zenon_H3c].
% 54.76/54.92 congruence.
% 54.76/54.92 apply zenon_H3c. apply sym_equal. exact zenon_H33.
% 54.76/54.92 exact (zenon_H3fe zenon_H401).
% 54.76/54.92 (* end of lemma zenon_L448_ *)
% 54.76/54.92 assert (zenon_L449_ : ((e23) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((op2 (e21) (e22)) = (e23)) -> ((op2 (e21) (e21)) = (e22)) -> ((e20) = (op2 (e21) (e21))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> False).
% 54.76/54.92 do 0 intro. intros zenon_H3b zenon_H38e zenon_H401 zenon_H33 zenon_H437.
% 54.76/54.92 elim (classic ((op2 (e21) (e22)) = (op2 (e21) (e22)))); [ zenon_intro zenon_H7b | zenon_intro zenon_H7c ].
% 54.76/54.92 cut (((op2 (e21) (e22)) = (op2 (e21) (e22))) = ((op2 (e20) (e22)) = (op2 (e21) (e22)))).
% 54.76/54.92 intro zenon_D_pnotp.
% 54.76/54.92 apply zenon_H437.
% 54.76/54.92 rewrite <- zenon_D_pnotp.
% 54.76/54.92 exact zenon_H7b.
% 54.76/54.92 cut (((op2 (e21) (e22)) = (op2 (e21) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H7c].
% 54.76/54.92 cut (((op2 (e21) (e22)) = (op2 (e20) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H438].
% 54.76/54.92 congruence.
% 54.76/54.92 cut (((e23) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) = ((op2 (e21) (e22)) = (op2 (e20) (e22)))).
% 54.76/54.92 intro zenon_D_pnotp.
% 54.76/54.92 apply zenon_H438.
% 54.76/54.92 rewrite <- zenon_D_pnotp.
% 54.76/54.92 exact zenon_H3b.
% 54.76/54.92 cut (((op2 (op2 (e21) (e21)) (op2 (e21) (e21))) = (op2 (e20) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H436].
% 54.76/54.92 cut (((e23) = (op2 (e21) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H391].
% 54.76/54.92 congruence.
% 54.76/54.92 elim (classic ((op2 (e21) (e22)) = (op2 (e21) (e22)))); [ zenon_intro zenon_H7b | zenon_intro zenon_H7c ].
% 54.76/54.92 cut (((op2 (e21) (e22)) = (op2 (e21) (e22))) = ((e23) = (op2 (e21) (e22)))).
% 54.76/54.92 intro zenon_D_pnotp.
% 54.76/54.92 apply zenon_H391.
% 54.76/54.92 rewrite <- zenon_D_pnotp.
% 54.76/54.92 exact zenon_H7b.
% 54.76/54.92 cut (((op2 (e21) (e22)) = (op2 (e21) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H7c].
% 54.76/54.92 cut (((op2 (e21) (e22)) = (e23))); [idtac | apply NNPP; zenon_intro zenon_H439].
% 54.76/54.92 congruence.
% 54.76/54.92 exact (zenon_H439 zenon_H38e).
% 54.76/54.92 apply zenon_H7c. apply refl_equal.
% 54.76/54.92 apply zenon_H7c. apply refl_equal.
% 54.76/54.92 apply (zenon_L448_); trivial.
% 54.76/54.92 apply zenon_H7c. apply refl_equal.
% 54.76/54.92 apply zenon_H7c. apply refl_equal.
% 54.76/54.92 (* end of lemma zenon_L449_ *)
% 54.76/54.92 assert (zenon_L450_ : ((e23) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((op2 (e23) (e22)) = (e23)) -> ((op2 (e21) (e21)) = (e22)) -> ((e20) = (op2 (e21) (e21))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> False).
% 54.76/54.92 do 0 intro. intros zenon_H3b zenon_Hfb zenon_H401 zenon_H33 zenon_H3cb.
% 54.76/54.92 elim (classic ((op2 (e23) (e22)) = (op2 (e23) (e22)))); [ zenon_intro zenon_H68 | zenon_intro zenon_H69 ].
% 54.76/54.92 cut (((op2 (e23) (e22)) = (op2 (e23) (e22))) = ((op2 (e20) (e22)) = (op2 (e23) (e22)))).
% 54.76/54.92 intro zenon_D_pnotp.
% 54.76/54.92 apply zenon_H3cb.
% 54.76/54.92 rewrite <- zenon_D_pnotp.
% 54.76/54.92 exact zenon_H68.
% 54.76/54.92 cut (((op2 (e23) (e22)) = (op2 (e23) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H69].
% 54.76/54.92 cut (((op2 (e23) (e22)) = (op2 (e20) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H41f].
% 54.76/54.92 congruence.
% 54.76/54.92 cut (((e23) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) = ((op2 (e23) (e22)) = (op2 (e20) (e22)))).
% 54.76/54.92 intro zenon_D_pnotp.
% 54.76/54.92 apply zenon_H41f.
% 54.76/54.92 rewrite <- zenon_D_pnotp.
% 54.76/54.92 exact zenon_H3b.
% 54.76/54.92 cut (((op2 (op2 (e21) (e21)) (op2 (e21) (e21))) = (op2 (e20) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H436].
% 54.76/54.92 cut (((e23) = (op2 (e23) (e22)))); [idtac | apply NNPP; zenon_intro zenon_Hfe].
% 54.76/54.92 congruence.
% 54.76/54.92 elim (classic ((op2 (e23) (e22)) = (op2 (e23) (e22)))); [ zenon_intro zenon_H68 | zenon_intro zenon_H69 ].
% 54.76/54.92 cut (((op2 (e23) (e22)) = (op2 (e23) (e22))) = ((e23) = (op2 (e23) (e22)))).
% 54.76/54.92 intro zenon_D_pnotp.
% 54.76/54.92 apply zenon_Hfe.
% 54.76/54.92 rewrite <- zenon_D_pnotp.
% 54.76/54.92 exact zenon_H68.
% 54.76/54.92 cut (((op2 (e23) (e22)) = (op2 (e23) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H69].
% 54.76/54.92 cut (((op2 (e23) (e22)) = (e23))); [idtac | apply NNPP; zenon_intro zenon_Hff].
% 54.76/54.92 congruence.
% 54.76/54.92 exact (zenon_Hff zenon_Hfb).
% 54.76/54.92 apply zenon_H69. apply refl_equal.
% 54.76/54.92 apply zenon_H69. apply refl_equal.
% 54.76/54.92 apply (zenon_L448_); trivial.
% 54.76/54.92 apply zenon_H69. apply refl_equal.
% 54.76/54.92 apply zenon_H69. apply refl_equal.
% 54.76/54.92 (* end of lemma zenon_L450_ *)
% 54.76/54.92 assert (zenon_L451_ : (((op2 (e20) (e22)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e23) (e22)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e22)))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (~((op2 (e22) (e22)) = (e23))) -> ((e23) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((op2 (e21) (e21)) = (e22)) -> ((e20) = (op2 (e21) (e21))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> False).
% 54.76/54.92 do 0 intro. intros zenon_H43a zenon_H98 zenon_H437 zenon_H37f zenon_H3b zenon_H401 zenon_H33 zenon_H3cb.
% 54.76/54.92 apply (zenon_or_s _ _ zenon_H43a); [ zenon_intro zenon_H97 | zenon_intro zenon_H43b ].
% 54.76/54.92 apply (zenon_L26_); trivial.
% 54.76/54.92 apply (zenon_or_s _ _ zenon_H43b); [ zenon_intro zenon_H38e | zenon_intro zenon_H43c ].
% 54.76/54.92 apply (zenon_L449_); trivial.
% 54.76/54.92 apply (zenon_or_s _ _ zenon_H43c); [ zenon_intro zenon_Hf6 | zenon_intro zenon_Hfb ].
% 54.76/54.92 exact (zenon_H37f zenon_Hf6).
% 54.76/54.92 apply (zenon_L450_); trivial.
% 54.76/54.92 (* end of lemma zenon_L451_ *)
% 54.76/54.92 assert (zenon_L452_ : (((op2 (e20) (e21)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e23) (e21)) = (e22))))) -> (~((e22) = (e23))) -> (((op2 (e23) (e23)) = (e20))\/(((op2 (e23) (e23)) = (e21))\/(((op2 (e23) (e23)) = (e22))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> ((op2 (e23) (op2 (e23) (e23))) = (e23)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e23)) = (e23))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> (((op2 (e22) (e20)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e22) (e23)) = (e23))))) -> (~((op2 (e22) (e22)) = (e22))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e20)) = (op2 (e23) (e20)))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> ((op2 (e22) (e21)) = (e21)) -> ((op2 (e23) (op2 (e23) (e21))) = (e21)) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> ((op2 (e23) (op2 (e23) (e22))) = (e22)) -> (~((op2 (e21) (e21)) = (e23))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> (((op2 (e20) (e21)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e22) (e22)) = (e23))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e22)))) -> (((op2 (e20) (e22)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e23) (e22)) = (e23))))) -> (~((op2 (e22) (e21)) = (e22))) -> ((e22) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> ((e20) = (op2 (e21) (e21))) -> ((e23) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> False).
% 54.76/54.92 do 0 intro. intros zenon_H3fd zenon_Hec zenon_H382 zenon_H3c5 zenon_H424 zenon_H6e zenon_H107 zenon_H11f zenon_H3f1 zenon_Hd7 zenon_Hb0 zenon_Hf1 zenon_H433 zenon_H67 zenon_H423 zenon_H55 zenon_H3b7 zenon_H27f zenon_H429 zenon_H282 zenon_H431 zenon_H389 zenon_H93 zenon_H3bd zenon_H3cb zenon_H37f zenon_H437 zenon_H98 zenon_H43a zenon_Hf2 zenon_H3f zenon_H33 zenon_H3b zenon_H60.
% 54.76/54.92 apply (zenon_or_s _ _ zenon_H3fd); [ zenon_intro zenon_H285 | zenon_intro zenon_H3ff ].
% 54.76/54.92 apply (zenon_or_s _ _ zenon_H3bd); [ zenon_intro zenon_H92 | zenon_intro zenon_H3be ].
% 54.76/54.92 apply (zenon_L25_); trivial.
% 54.76/54.92 apply (zenon_or_s _ _ zenon_H3be); [ zenon_intro zenon_H388 | zenon_intro zenon_H3bf ].
% 54.76/54.92 exact (zenon_H389 zenon_H388).
% 54.76/54.92 apply (zenon_or_s _ _ zenon_H3bf); [ zenon_intro zenon_H3ba | zenon_intro zenon_He8 ].
% 54.76/54.92 apply (zenon_L445_); trivial.
% 54.76/54.92 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_Hb1 | zenon_intro zenon_Hf3 ].
% 54.76/54.92 apply (zenon_L30_); trivial.
% 54.76/54.92 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_Hd3 | zenon_intro zenon_Hf4 ].
% 54.76/54.92 exact (zenon_Hf2 zenon_Hd3).
% 54.76/54.92 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_Hd6 | zenon_intro zenon_He2 ].
% 54.76/54.92 exact (zenon_Hd7 zenon_Hd6).
% 54.76/54.92 apply (zenon_L447_); trivial.
% 54.76/54.92 apply (zenon_or_s _ _ zenon_H3ff); [ zenon_intro zenon_H401 | zenon_intro zenon_H400 ].
% 54.76/54.92 apply (zenon_L451_); trivial.
% 54.76/54.92 apply (zenon_or_s _ _ zenon_H400); [ zenon_intro zenon_Hd3 | zenon_intro zenon_H5f ].
% 54.76/54.92 exact (zenon_Hf2 zenon_Hd3).
% 54.76/54.92 apply (zenon_L15_); trivial.
% 54.76/54.92 (* end of lemma zenon_L452_ *)
% 54.76/54.92 assert (zenon_L453_ : ((~((op2 (e22) (e22)) = (e22)))\/(~((op2 (e22) (e22)) = (e22)))) -> (((op2 (e20) (e21)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e22) (e21)) = (e22))) -> (((op2 (e22) (e20)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e22) (e23)) = (e23))))) -> (~((e22) = (e23))) -> (~((op2 (e22) (e22)) = (e23))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> ((op2 (e23) (op2 (e23) (e23))) = (e23)) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> ((e22) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> (~((op2 (e23) (e23)) = (e23))) -> (((op2 (e23) (e23)) = (e20))\/(((op2 (e23) (e23)) = (e21))\/(((op2 (e23) (e23)) = (e22))\/((op2 (e23) (e23)) = (e23))))) -> ((op2 (e23) (op2 (e23) (e21))) = (e21)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> ((op2 (e22) (e21)) = (e21)) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> ((op2 (e23) (op2 (e23) (e22))) = (e22)) -> (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((op2 (e21) (e21)) = (e23))) -> ((e20) = (op2 (e21) (e21))) -> ((e23) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> (((op2 (e20) (e22)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e23) (e22)) = (e23))))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e22)))) -> (((op2 (e20) (e21)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e23) (e21)) = (e22))))) -> False).
% 54.76/54.92 do 0 intro. intros zenon_Hd5 zenon_H3bd zenon_Hb0 zenon_Hf2 zenon_H3f1 zenon_Hec zenon_H37f zenon_H60 zenon_H11f zenon_Hf1 zenon_H3b7 zenon_H67 zenon_H424 zenon_H423 zenon_H3f zenon_H107 zenon_H382 zenon_H429 zenon_H6e zenon_H55 zenon_H3c5 zenon_H27f zenon_H282 zenon_H431 zenon_H433 zenon_H389 zenon_H33 zenon_H3b zenon_H93 zenon_H43a zenon_H3cb zenon_H437 zenon_H98 zenon_H3fd.
% 54.76/54.92 apply (zenon_or_s _ _ zenon_Hd5); [ zenon_intro zenon_Hd7 | zenon_intro zenon_Hd7 ].
% 54.76/54.92 apply (zenon_L452_); trivial.
% 54.76/54.92 apply (zenon_L452_); trivial.
% 54.76/54.92 (* end of lemma zenon_L453_ *)
% 54.76/54.92 assert (zenon_L454_ : (((op2 (e22) (e22)) = (e20))\/(((op2 (e22) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e22)) = (e23))))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> ((op2 (e23) (e20)) = (e22)) -> ((op2 (e23) (op2 (e23) (e20))) = (e20)) -> (~((op2 (e22) (e22)) = (e21))) -> (~((op2 (e22) (e22)) = (e22))) -> (~((op2 (e22) (e22)) = (e23))) -> False).
% 54.76/54.92 do 0 intro. intros zenon_H100 zenon_Hfc zenon_H58 zenon_H41e zenon_H101 zenon_Hd7 zenon_H37f.
% 54.76/54.92 apply (zenon_or_s _ _ zenon_H100); [ zenon_intro zenon_H88 | zenon_intro zenon_H102 ].
% 54.76/54.92 elim (classic ((op2 (e23) (e22)) = (op2 (e23) (e22)))); [ zenon_intro zenon_H68 | zenon_intro zenon_H69 ].
% 54.76/54.92 cut (((op2 (e23) (e22)) = (op2 (e23) (e22))) = ((op2 (e22) (e22)) = (op2 (e23) (e22)))).
% 54.76/54.92 intro zenon_D_pnotp.
% 54.76/54.92 apply zenon_Hfc.
% 54.76/54.92 rewrite <- zenon_D_pnotp.
% 54.76/54.92 exact zenon_H68.
% 54.76/54.92 cut (((op2 (e23) (e22)) = (op2 (e23) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H69].
% 54.76/54.92 cut (((op2 (e23) (e22)) = (op2 (e22) (e22)))); [idtac | apply NNPP; zenon_intro zenon_Hfd].
% 54.76/54.92 congruence.
% 54.76/54.92 cut (((op2 (e23) (op2 (e23) (e20))) = (e20)) = ((op2 (e23) (e22)) = (op2 (e22) (e22)))).
% 54.76/54.92 intro zenon_D_pnotp.
% 54.76/54.92 apply zenon_Hfd.
% 54.76/54.92 rewrite <- zenon_D_pnotp.
% 54.76/54.92 exact zenon_H41e.
% 54.76/54.92 cut (((e20) = (op2 (e22) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H37e].
% 54.76/54.92 cut (((op2 (e23) (op2 (e23) (e20))) = (op2 (e23) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H420].
% 54.76/54.92 congruence.
% 54.76/54.92 elim (classic ((op2 (e23) (e22)) = (op2 (e23) (e22)))); [ zenon_intro zenon_H68 | zenon_intro zenon_H69 ].
% 54.76/54.92 cut (((op2 (e23) (e22)) = (op2 (e23) (e22))) = ((op2 (e23) (op2 (e23) (e20))) = (op2 (e23) (e22)))).
% 54.76/54.92 intro zenon_D_pnotp.
% 54.76/54.92 apply zenon_H420.
% 54.76/54.92 rewrite <- zenon_D_pnotp.
% 54.76/54.92 exact zenon_H68.
% 54.76/54.92 cut (((op2 (e23) (e22)) = (op2 (e23) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H69].
% 54.76/54.92 cut (((op2 (e23) (e22)) = (op2 (e23) (op2 (e23) (e20))))); [idtac | apply NNPP; zenon_intro zenon_H41d].
% 54.76/54.92 congruence.
% 54.76/54.92 apply (zenon_L422_); trivial.
% 54.76/54.92 apply zenon_H69. apply refl_equal.
% 54.76/54.92 apply zenon_H69. apply refl_equal.
% 54.76/54.92 apply zenon_H37e. apply sym_equal. exact zenon_H88.
% 54.76/54.92 apply zenon_H69. apply refl_equal.
% 54.76/54.92 apply zenon_H69. apply refl_equal.
% 54.76/54.92 apply (zenon_or_s _ _ zenon_H102); [ zenon_intro zenon_H104 | zenon_intro zenon_H103 ].
% 54.76/54.92 exact (zenon_H101 zenon_H104).
% 54.76/54.92 apply (zenon_or_s _ _ zenon_H103); [ zenon_intro zenon_Hd6 | zenon_intro zenon_Hf6 ].
% 54.76/54.92 exact (zenon_Hd7 zenon_Hd6).
% 54.76/54.92 exact (zenon_H37f zenon_Hf6).
% 54.76/54.92 (* end of lemma zenon_L454_ *)
% 54.76/54.92 assert (zenon_L455_ : (((op2 (e23) (e20)) = (e22))\/(((op2 (e23) (e21)) = (e22))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e22) (e22)) = (e23))) -> (~((op2 (e22) (e22)) = (e22))) -> (~((op2 (e22) (e22)) = (e21))) -> ((op2 (e23) (op2 (e23) (e20))) = (e20)) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e22) (e22)) = (e20))\/(((op2 (e22) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e22)) = (e23))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> ((e22) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> ((e20) = (op2 (e21) (e21))) -> ((e23) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> False).
% 54.76/54.92 do 0 intro. intros zenon_H74 zenon_H37f zenon_Hd7 zenon_H101 zenon_H41e zenon_Hfc zenon_H100 zenon_H60 zenon_H67 zenon_H3f zenon_H33 zenon_H3b zenon_H6e.
% 54.76/54.92 apply (zenon_or_s _ _ zenon_H74); [ zenon_intro zenon_H58 | zenon_intro zenon_H75 ].
% 54.76/54.92 apply (zenon_L454_); trivial.
% 54.76/54.92 apply (zenon_or_s _ _ zenon_H75); [ zenon_intro zenon_H5f | zenon_intro zenon_H76 ].
% 54.76/54.92 apply (zenon_L15_); trivial.
% 54.76/54.92 apply (zenon_or_s _ _ zenon_H76); [ zenon_intro zenon_H66 | zenon_intro zenon_H6d ].
% 54.76/54.92 apply (zenon_L16_); trivial.
% 54.76/54.92 apply (zenon_L17_); trivial.
% 54.76/54.92 (* end of lemma zenon_L455_ *)
% 54.76/54.92 assert (zenon_L456_ : (((op2 (e21) (e23)) = (e21))/\(((op2 (e23) (e21)) = (e21))/\(((~((op2 (e23) (e20)) = (e23)))\/(~((op2 (e23) (e23)) = (e20))))/\(((~((op2 (e23) (e21)) = (e23)))\/(~((op2 (e23) (e23)) = (e21))))/\(((~((op2 (e23) (e22)) = (e23)))\/(~((op2 (e23) (e23)) = (e22))))/\((~((op2 (e23) (e23)) = (e23)))\/(~((op2 (e23) (e23)) = (e23))))))))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> ((op2 (e23) (op2 (e23) (e23))) = (e23)) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> ((e22) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> (~((op2 (e23) (e23)) = (e23))) -> (((op2 (e23) (e23)) = (e20))\/(((op2 (e23) (e23)) = (e21))\/(((op2 (e23) (e23)) = (e22))\/((op2 (e23) (e23)) = (e23))))) -> ((e20) = (op2 (e21) (e21))) -> ((e23) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> (~((op2 (e20) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> False).
% 54.76/54.92 do 0 intro. intros zenon_Hcd zenon_H3b7 zenon_H67 zenon_H424 zenon_H423 zenon_H6e zenon_H3f zenon_H107 zenon_H382 zenon_H33 zenon_H3b zenon_H55 zenon_H60.
% 54.76/54.92 apply (zenon_and_s _ _ zenon_Hcd). zenon_intro zenon_Hcb. zenon_intro zenon_Hce.
% 54.76/54.92 apply (zenon_and_s _ _ zenon_Hce). zenon_intro zenon_H283. zenon_intro zenon_H8c.
% 54.76/54.92 apply (zenon_and_s _ _ zenon_H8c). zenon_intro zenon_H10b. zenon_intro zenon_H10a.
% 54.76/54.92 apply (zenon_and_s _ _ zenon_H10a). zenon_intro zenon_H10d. zenon_intro zenon_H10c.
% 54.76/54.92 apply (zenon_and_s _ _ zenon_H10c). zenon_intro zenon_H10e. zenon_intro zenon_H105.
% 54.76/54.92 apply (zenon_L434_); trivial.
% 54.76/54.92 (* end of lemma zenon_L456_ *)
% 54.76/54.92 assert (zenon_L457_ : (((op2 (e23) (e22)) = (e23))/\(((op2 (e22) (e23)) = (e23))/\(((~((op2 (e22) (e20)) = (e22)))\/(~((op2 (e22) (e22)) = (e20))))/\(((~((op2 (e22) (e21)) = (e22)))\/(~((op2 (e22) (e22)) = (e21))))/\(((~((op2 (e22) (e22)) = (e22)))\/(~((op2 (e22) (e22)) = (e22))))/\((~((op2 (e22) (e23)) = (e22)))\/(~((op2 (e22) (e22)) = (e23))))))))) -> (((op2 (e23) (e23)) = (e20))\/(((op2 (e23) (e23)) = (e21))\/(((op2 (e23) (e23)) = (e22))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> ((op2 (e23) (op2 (e23) (e23))) = (e23)) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> ((e23) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((e20) = (op2 (e21) (e21))) -> ((e22) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> (~((op2 (e23) (e23)) = (e23))) -> False).
% 54.76/54.92 do 0 intro. intros zenon_H142 zenon_H382 zenon_H67 zenon_H424 zenon_H423 zenon_H6e zenon_H3b zenon_H33 zenon_H3f zenon_H107.
% 54.76/54.92 apply (zenon_and_s _ _ zenon_H142). zenon_intro zenon_Hfb. zenon_intro zenon_H143.
% 54.76/54.92 apply (zenon_L428_); trivial.
% 54.76/54.92 (* end of lemma zenon_L457_ *)
% 54.76/54.92 assert (zenon_L458_ : (((op2 (e23) (e23)) = (e23))/\(((op2 (e23) (e23)) = (e23))/\(((~((op2 (e23) (e20)) = (e23)))\/(~((op2 (e23) (e23)) = (e20))))/\(((~((op2 (e23) (e21)) = (e23)))\/(~((op2 (e23) (e23)) = (e21))))/\(((~((op2 (e23) (e22)) = (e23)))\/(~((op2 (e23) (e23)) = (e22))))/\((~((op2 (e23) (e23)) = (e23)))\/(~((op2 (e23) (e23)) = (e23))))))))) -> (~((op2 (e23) (e23)) = (e23))) -> False).
% 54.76/54.92 do 0 intro. intros zenon_H108 zenon_H107.
% 54.76/54.92 apply (zenon_and_s _ _ zenon_H108). zenon_intro zenon_H106. zenon_intro zenon_H109.
% 54.76/54.92 apply (zenon_and_s _ _ zenon_H109). zenon_intro zenon_H106. zenon_intro zenon_H8c.
% 54.76/54.92 exact (zenon_H107 zenon_H106).
% 54.76/54.92 (* end of lemma zenon_L458_ *)
% 54.76/54.92 assert (zenon_L459_ : (~((op2 (e23) (e23)) = (op2 (e23) (op2 (e23) (e23))))) -> ((op2 (e23) (e23)) = (e23)) -> False).
% 54.76/54.92 do 0 intro. intros zenon_H43d zenon_H106.
% 54.76/54.92 cut (((e23) = (op2 (e23) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H3b0].
% 54.76/54.92 cut (((e23) = (e23))); [idtac | apply NNPP; zenon_intro zenon_Hee].
% 54.76/54.92 congruence.
% 54.76/54.92 apply zenon_Hee. apply refl_equal.
% 54.76/54.92 apply zenon_H3b0. apply sym_equal. exact zenon_H106.
% 54.76/54.92 (* end of lemma zenon_L459_ *)
% 54.76/54.92 assert (zenon_L460_ : ((op2 (e23) (op2 (e23) (e23))) = (e23)) -> ((op2 (e23) (e23)) = (e23)) -> ((op2 (e23) (e21)) = (e23)) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> False).
% 54.76/54.92 do 0 intro. intros zenon_H424 zenon_H106 zenon_He8 zenon_H3af.
% 54.76/54.92 elim (classic ((op2 (e23) (e23)) = (op2 (e23) (e23)))); [ zenon_intro zenon_H6f | zenon_intro zenon_H70 ].
% 54.76/54.92 cut (((op2 (e23) (e23)) = (op2 (e23) (e23))) = ((op2 (e23) (e21)) = (op2 (e23) (e23)))).
% 54.76/54.92 intro zenon_D_pnotp.
% 54.76/54.92 apply zenon_H3af.
% 54.76/54.92 rewrite <- zenon_D_pnotp.
% 54.76/54.92 exact zenon_H6f.
% 54.76/54.92 cut (((op2 (e23) (e23)) = (op2 (e23) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H70].
% 54.76/54.92 cut (((op2 (e23) (e23)) = (op2 (e23) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H43e].
% 54.76/54.92 congruence.
% 54.76/54.92 cut (((op2 (e23) (op2 (e23) (e23))) = (e23)) = ((op2 (e23) (e23)) = (op2 (e23) (e21)))).
% 54.76/54.92 intro zenon_D_pnotp.
% 54.76/54.92 apply zenon_H43e.
% 54.76/54.92 rewrite <- zenon_D_pnotp.
% 54.76/54.92 exact zenon_H424.
% 54.76/54.92 cut (((e23) = (op2 (e23) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H39e].
% 54.76/54.92 cut (((op2 (e23) (op2 (e23) (e23))) = (op2 (e23) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H43f].
% 54.76/54.92 congruence.
% 54.76/54.92 elim (classic ((op2 (e23) (e23)) = (op2 (e23) (e23)))); [ zenon_intro zenon_H6f | zenon_intro zenon_H70 ].
% 54.76/54.92 cut (((op2 (e23) (e23)) = (op2 (e23) (e23))) = ((op2 (e23) (op2 (e23) (e23))) = (op2 (e23) (e23)))).
% 54.76/54.92 intro zenon_D_pnotp.
% 54.76/54.92 apply zenon_H43f.
% 54.76/54.92 rewrite <- zenon_D_pnotp.
% 54.76/54.92 exact zenon_H6f.
% 54.76/54.92 cut (((op2 (e23) (e23)) = (op2 (e23) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H70].
% 54.76/54.92 cut (((op2 (e23) (e23)) = (op2 (e23) (op2 (e23) (e23))))); [idtac | apply NNPP; zenon_intro zenon_H43d].
% 54.76/54.92 congruence.
% 54.76/54.92 apply (zenon_L459_); trivial.
% 54.76/54.92 apply zenon_H70. apply refl_equal.
% 54.76/54.92 apply zenon_H70. apply refl_equal.
% 54.76/54.92 apply zenon_H39e. apply sym_equal. exact zenon_He8.
% 54.76/54.92 apply zenon_H70. apply refl_equal.
% 54.76/54.92 apply zenon_H70. apply refl_equal.
% 54.76/54.92 (* end of lemma zenon_L460_ *)
% 54.76/54.92 assert (zenon_L461_ : (((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e21)) = (e22))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> ((op2 (e22) (e21)) = (e21)) -> ((op2 (e23) (op2 (e23) (e21))) = (e21)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> ((e23) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((e20) = (op2 (e21) (e21))) -> ((e22) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> ((op2 (e23) (op2 (e23) (e23))) = (e23)) -> ((op2 (e23) (e23)) = (e23)) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> False).
% 54.76/54.92 do 0 intro. intros zenon_H3b1 zenon_H39d zenon_H3c5 zenon_H27f zenon_H429 zenon_H60 zenon_H3b zenon_H33 zenon_H3f zenon_H424 zenon_H106 zenon_H3af.
% 54.76/54.92 apply (zenon_or_s _ _ zenon_H3b1); [ zenon_intro zenon_H3ab | zenon_intro zenon_H3b2 ].
% 54.76/54.92 apply (zenon_L339_); trivial.
% 54.76/54.92 apply (zenon_or_s _ _ zenon_H3b2); [ zenon_intro zenon_H283 | zenon_intro zenon_H3b3 ].
% 54.76/54.92 apply (zenon_L441_); trivial.
% 54.76/54.92 apply (zenon_or_s _ _ zenon_H3b3); [ zenon_intro zenon_H5f | zenon_intro zenon_He8 ].
% 54.76/54.92 apply (zenon_L15_); trivial.
% 54.76/54.92 apply (zenon_L460_); trivial.
% 54.76/54.92 (* end of lemma zenon_L461_ *)
% 54.76/54.92 assert (zenon_L462_ : ((op2 (e23) (op2 (e23) (e23))) = (e23)) -> ((op2 (e23) (e23)) = (e23)) -> ((op2 (e21) (e23)) = (e23)) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> False).
% 54.76/54.92 do 0 intro. intros zenon_H424 zenon_H106 zenon_He9 zenon_H440.
% 54.76/54.92 elim (classic ((op2 (e23) (e23)) = (op2 (e23) (e23)))); [ zenon_intro zenon_H6f | zenon_intro zenon_H70 ].
% 54.76/54.92 cut (((op2 (e23) (e23)) = (op2 (e23) (e23))) = ((op2 (e21) (e23)) = (op2 (e23) (e23)))).
% 54.76/54.92 intro zenon_D_pnotp.
% 54.76/54.92 apply zenon_H440.
% 54.76/54.92 rewrite <- zenon_D_pnotp.
% 54.76/54.92 exact zenon_H6f.
% 54.76/54.92 cut (((op2 (e23) (e23)) = (op2 (e23) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H70].
% 54.76/54.92 cut (((op2 (e23) (e23)) = (op2 (e21) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H441].
% 54.76/54.92 congruence.
% 54.76/54.92 cut (((op2 (e23) (op2 (e23) (e23))) = (e23)) = ((op2 (e23) (e23)) = (op2 (e21) (e23)))).
% 54.76/54.92 intro zenon_D_pnotp.
% 54.76/54.92 apply zenon_H441.
% 54.76/54.92 rewrite <- zenon_D_pnotp.
% 54.76/54.92 exact zenon_H424.
% 54.76/54.92 cut (((e23) = (op2 (e21) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H393].
% 54.76/54.92 cut (((op2 (e23) (op2 (e23) (e23))) = (op2 (e23) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H43f].
% 54.76/54.92 congruence.
% 54.76/54.92 elim (classic ((op2 (e23) (e23)) = (op2 (e23) (e23)))); [ zenon_intro zenon_H6f | zenon_intro zenon_H70 ].
% 54.76/54.92 cut (((op2 (e23) (e23)) = (op2 (e23) (e23))) = ((op2 (e23) (op2 (e23) (e23))) = (op2 (e23) (e23)))).
% 54.76/54.92 intro zenon_D_pnotp.
% 54.76/54.92 apply zenon_H43f.
% 54.76/54.92 rewrite <- zenon_D_pnotp.
% 54.76/54.92 exact zenon_H6f.
% 54.76/54.92 cut (((op2 (e23) (e23)) = (op2 (e23) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H70].
% 54.76/54.92 cut (((op2 (e23) (e23)) = (op2 (e23) (op2 (e23) (e23))))); [idtac | apply NNPP; zenon_intro zenon_H43d].
% 54.76/54.92 congruence.
% 54.76/54.92 apply (zenon_L459_); trivial.
% 54.76/54.92 apply zenon_H70. apply refl_equal.
% 54.76/54.92 apply zenon_H70. apply refl_equal.
% 54.76/54.92 apply zenon_H393. apply sym_equal. exact zenon_He9.
% 54.76/54.92 apply zenon_H70. apply refl_equal.
% 54.76/54.92 apply zenon_H70. apply refl_equal.
% 54.76/54.92 (* end of lemma zenon_L462_ *)
% 54.76/54.92 assert (zenon_L463_ : ((op2 (e23) (op2 (e23) (e23))) = (e23)) -> ((op2 (e23) (e23)) = (e23)) -> ((op2 (e22) (e23)) = (e23)) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> False).
% 54.76/54.92 do 0 intro. intros zenon_H424 zenon_H106 zenon_Heb zenon_H3d9.
% 54.76/54.92 elim (classic ((op2 (e23) (e23)) = (op2 (e23) (e23)))); [ zenon_intro zenon_H6f | zenon_intro zenon_H70 ].
% 54.76/54.92 cut (((op2 (e23) (e23)) = (op2 (e23) (e23))) = ((op2 (e22) (e23)) = (op2 (e23) (e23)))).
% 54.76/54.92 intro zenon_D_pnotp.
% 54.76/54.92 apply zenon_H3d9.
% 54.76/54.92 rewrite <- zenon_D_pnotp.
% 54.76/54.92 exact zenon_H6f.
% 54.76/54.92 cut (((op2 (e23) (e23)) = (op2 (e23) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H70].
% 54.76/54.92 cut (((op2 (e23) (e23)) = (op2 (e22) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H442].
% 54.76/54.92 congruence.
% 54.76/54.92 cut (((op2 (e23) (op2 (e23) (e23))) = (e23)) = ((op2 (e23) (e23)) = (op2 (e22) (e23)))).
% 54.76/54.92 intro zenon_D_pnotp.
% 54.76/54.92 apply zenon_H442.
% 54.76/54.92 rewrite <- zenon_D_pnotp.
% 54.76/54.92 exact zenon_H424.
% 54.76/54.92 cut (((e23) = (op2 (e22) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H38d].
% 54.76/54.92 cut (((op2 (e23) (op2 (e23) (e23))) = (op2 (e23) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H43f].
% 54.76/54.92 congruence.
% 54.76/54.92 elim (classic ((op2 (e23) (e23)) = (op2 (e23) (e23)))); [ zenon_intro zenon_H6f | zenon_intro zenon_H70 ].
% 54.76/54.92 cut (((op2 (e23) (e23)) = (op2 (e23) (e23))) = ((op2 (e23) (op2 (e23) (e23))) = (op2 (e23) (e23)))).
% 54.76/54.92 intro zenon_D_pnotp.
% 54.76/54.92 apply zenon_H43f.
% 54.76/54.92 rewrite <- zenon_D_pnotp.
% 54.76/54.92 exact zenon_H6f.
% 54.76/54.92 cut (((op2 (e23) (e23)) = (op2 (e23) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H70].
% 54.76/54.92 cut (((op2 (e23) (e23)) = (op2 (e23) (op2 (e23) (e23))))); [idtac | apply NNPP; zenon_intro zenon_H43d].
% 54.76/54.92 congruence.
% 54.76/54.92 apply (zenon_L459_); trivial.
% 54.76/54.92 apply zenon_H70. apply refl_equal.
% 54.76/54.92 apply zenon_H70. apply refl_equal.
% 54.76/54.92 apply zenon_H38d. apply sym_equal. exact zenon_Heb.
% 54.76/54.92 apply zenon_H70. apply refl_equal.
% 54.76/54.92 apply zenon_H70. apply refl_equal.
% 54.76/54.92 (* end of lemma zenon_L463_ *)
% 54.76/54.92 assert (zenon_L464_ : (((op2 (e23) (e23)) = (e23))/\(((op2 (e23) (e23)) = (e23))/\(((~((op2 (e23) (e20)) = (e23)))\/(~((op2 (e23) (e23)) = (e20))))/\(((~((op2 (e23) (e21)) = (e23)))\/(~((op2 (e23) (e23)) = (e21))))/\(((~((op2 (e23) (e22)) = (e23)))\/(~((op2 (e23) (e23)) = (e22))))/\((~((op2 (e23) (e23)) = (e23)))\/(~((op2 (e23) (e23)) = (e23))))))))) -> False).
% 54.76/54.92 do 0 intro. intros zenon_H108.
% 54.76/54.92 apply (zenon_and_s _ _ zenon_H108). zenon_intro zenon_H106. zenon_intro zenon_H109.
% 54.76/54.92 apply (zenon_and_s _ _ zenon_H109). zenon_intro zenon_H106. zenon_intro zenon_H8c.
% 54.76/54.92 apply (zenon_and_s _ _ zenon_H8c). zenon_intro zenon_H10b. zenon_intro zenon_H10a.
% 54.76/54.92 apply (zenon_and_s _ _ zenon_H10a). zenon_intro zenon_H10d. zenon_intro zenon_H10c.
% 54.76/54.92 apply (zenon_and_s _ _ zenon_H10c). zenon_intro zenon_H10e. zenon_intro zenon_H105.
% 54.76/54.92 apply (zenon_L53_); trivial.
% 54.76/54.92 (* end of lemma zenon_L464_ *)
% 54.76/54.92 assert (zenon_L465_ : ((((op2 (e20) (e20)) = (e20))/\(((op2 (e20) (e20)) = (e20))/\(((~((op2 (e20) (e20)) = (e20)))\/(~((op2 (e20) (e20)) = (e20))))/\(((~((op2 (e20) (e21)) = (e20)))\/(~((op2 (e20) (e20)) = (e21))))/\(((~((op2 (e20) (e22)) = (e20)))\/(~((op2 (e20) (e20)) = (e22))))/\((~((op2 (e20) (e23)) = (e20)))\/(~((op2 (e20) (e20)) = (e23)))))))))\/((((op2 (e20) (e21)) = (e20))/\(((op2 (e21) (e20)) = (e20))/\(((~((op2 (e21) (e20)) = (e21)))\/(~((op2 (e21) (e21)) = (e20))))/\(((~((op2 (e21) (e21)) = (e21)))\/(~((op2 (e21) (e21)) = (e21))))/\(((~((op2 (e21) (e22)) = (e21)))\/(~((op2 (e21) (e21)) = (e22))))/\((~((op2 (e21) (e23)) = (e21)))\/(~((op2 (e21) (e21)) = (e23)))))))))\/((((op2 (e20) (e22)) = (e20))/\(((op2 (e22) (e20)) = (e20))/\(((~((op2 (e22) (e20)) = (e22)))\/(~((op2 (e22) (e22)) = (e20))))/\(((~((op2 (e22) (e21)) = (e22)))\/(~((op2 (e22) (e22)) = (e21))))/\(((~((op2 (e22) (e22)) = (e22)))\/(~((op2 (e22) (e22)) = (e22))))/\((~((op2 (e22) (e23)) = (e22)))\/(~((op2 (e22) (e22)) = (e23)))))))))\/((((op2 (e20) (e23)) = (e20))/\(((op2 (e23) (e20)) = (e20))/\(((~((op2 (e23) (e20)) = (e23)))\/(~((op2 (e23) (e23)) = (e20))))/\(((~((op2 (e23) (e21)) = (e23)))\/(~((op2 (e23) (e23)) = (e21))))/\(((~((op2 (e23) (e22)) = (e23)))\/(~((op2 (e23) (e23)) = (e22))))/\((~((op2 (e23) (e23)) = (e23)))\/(~((op2 (e23) (e23)) = (e23)))))))))\/((((op2 (e21) (e20)) = (e21))/\(((op2 (e20) (e21)) = (e21))/\(((~((op2 (e20) (e20)) = (e20)))\/(~((op2 (e20) (e20)) = (e20))))/\(((~((op2 (e20) (e21)) = (e20)))\/(~((op2 (e20) (e20)) = (e21))))/\(((~((op2 (e20) (e22)) = (e20)))\/(~((op2 (e20) (e20)) = (e22))))/\((~((op2 (e20) (e23)) = (e20)))\/(~((op2 (e20) (e20)) = (e23)))))))))\/((((op2 (e21) (e21)) = (e21))/\(((op2 (e21) (e21)) = (e21))/\(((~((op2 (e21) (e20)) = (e21)))\/(~((op2 (e21) (e21)) = (e20))))/\(((~((op2 (e21) (e21)) = (e21)))\/(~((op2 (e21) (e21)) = (e21))))/\(((~((op2 (e21) (e22)) = (e21)))\/(~((op2 (e21) (e21)) = (e22))))/\((~((op2 (e21) (e23)) = (e21)))\/(~((op2 (e21) (e21)) = (e23)))))))))\/((((op2 (e21) (e22)) = (e21))/\(((op2 (e22) (e21)) = (e21))/\(((~((op2 (e22) (e20)) = (e22)))\/(~((op2 (e22) (e22)) = (e20))))/\(((~((op2 (e22) (e21)) = (e22)))\/(~((op2 (e22) (e22)) = (e21))))/\(((~((op2 (e22) (e22)) = (e22)))\/(~((op2 (e22) (e22)) = (e22))))/\((~((op2 (e22) (e23)) = (e22)))\/(~((op2 (e22) (e22)) = (e23)))))))))\/((((op2 (e21) (e23)) = (e21))/\(((op2 (e23) (e21)) = (e21))/\(((~((op2 (e23) (e20)) = (e23)))\/(~((op2 (e23) (e23)) = (e20))))/\(((~((op2 (e23) (e21)) = (e23)))\/(~((op2 (e23) (e23)) = (e21))))/\(((~((op2 (e23) (e22)) = (e23)))\/(~((op2 (e23) (e23)) = (e22))))/\((~((op2 (e23) (e23)) = (e23)))\/(~((op2 (e23) (e23)) = (e23)))))))))\/((((op2 (e22) (e20)) = (e22))/\(((op2 (e20) (e22)) = (e22))/\(((~((op2 (e20) (e20)) = (e20)))\/(~((op2 (e20) (e20)) = (e20))))/\(((~((op2 (e20) (e21)) = (e20)))\/(~((op2 (e20) (e20)) = (e21))))/\(((~((op2 (e20) (e22)) = (e20)))\/(~((op2 (e20) (e20)) = (e22))))/\((~((op2 (e20) (e23)) = (e20)))\/(~((op2 (e20) (e20)) = (e23)))))))))\/((((op2 (e22) (e21)) = (e22))/\(((op2 (e21) (e22)) = (e22))/\(((~((op2 (e21) (e20)) = (e21)))\/(~((op2 (e21) (e21)) = (e20))))/\(((~((op2 (e21) (e21)) = (e21)))\/(~((op2 (e21) (e21)) = (e21))))/\(((~((op2 (e21) (e22)) = (e21)))\/(~((op2 (e21) (e21)) = (e22))))/\((~((op2 (e21) (e23)) = (e21)))\/(~((op2 (e21) (e21)) = (e23)))))))))\/((((op2 (e22) (e22)) = (e22))/\(((op2 (e22) (e22)) = (e22))/\(((~((op2 (e22) (e20)) = (e22)))\/(~((op2 (e22) (e22)) = (e20))))/\(((~((op2 (e22) (e21)) = (e22)))\/(~((op2 (e22) (e22)) = (e21))))/\(((~((op2 (e22) (e22)) = (e22)))\/(~((op2 (e22) (e22)) = (e22))))/\((~((op2 (e22) (e23)) = (e22)))\/(~((op2 (e22) (e22)) = (e23)))))))))\/((((op2 (e22) (e23)) = (e22))/\(((op2 (e23) (e22)) = (e22))/\(((~((op2 (e23) (e20)) = (e23)))\/(~((op2 (e23) (e23)) = (e20))))/\(((~((op2 (e23) (e21)) = (e23)))\/(~((op2 (e23) (e23)) = (e21))))/\(((~((op2 (e23) (e22)) = (e23)))\/(~((op2 (e23) (e23)) = (e22))))/\((~((op2 (e23) (e23)) = (e23)))\/(~((op2 (e23) (e23)) = (e23)))))))))\/((((op2 (e23) (e20)) = (e23))/\(((op2 (e20) (e23)) = (e23))/\(((~((op2 (e20) (e20)) = (e20)))\/(~((op2 (e20) (e20)) = (e20))))/\(((~((op2 (e20) (e21)) = (e20)))\/(~((op2 (e20) (e20)) = (e21))))/\(((~((op2 (e20) (e22)) = (e20)))\/(~((op2 (e20) (e20)) = (e22))))/\((~((op2 (e20) (e23)) = (e20)))\/(~((op2 (e20) (e20)) = (e23)))))))))\/((((op2 (e23) (e21)) = (e23))/\(((op2 (e21) (e23)) = (e23))/\(((~((op2 (e21) (e20)) = (e21)))\/(~((op2 (e21) (e21)) = (e20))))/\(((~((op2 (e21) (e21)) = (e21)))\/(~((op2 (e21) (e21)) = (e21))))/\(((~((op2 (e21) (e22)) = (e21)))\/(~((op2 (e21) (e21)) = (e22))))/\((~((op2 (e21) (e23)) = (e21)))\/(~((op2 (e21) (e21)) = (e23)))))))))\/((((op2 (e23) (e22)) = (e23))/\(((op2 (e22) (e23)) = (e23))/\(((~((op2 (e22) (e20)) = (e22)))\/(~((op2 (e22) (e22)) = (e20))))/\(((~((op2 (e22) (e21)) = (e22)))\/(~((op2 (e22) (e22)) = (e21))))/\(((~((op2 (e22) (e22)) = (e22)))\/(~((op2 (e22) (e22)) = (e22))))/\((~((op2 (e22) (e23)) = (e22)))\/(~((op2 (e22) (e22)) = (e23)))))))))\/(((op2 (e23) (e23)) = (e23))/\(((op2 (e23) (e23)) = (e23))/\(((~((op2 (e23) (e20)) = (e23)))\/(~((op2 (e23) (e23)) = (e20))))/\(((~((op2 (e23) (e21)) = (e23)))\/(~((op2 (e23) (e23)) = (e21))))/\(((~((op2 (e23) (e22)) = (e23)))\/(~((op2 (e23) (e23)) = (e22))))/\((~((op2 (e23) (e23)) = (e23)))\/(~((op2 (e23) (e23)) = (e23)))))))))))))))))))))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> ((op2 (e23) (op2 (e23) (e20))) = (e20)) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e23) (e20)) = (e22))\/(((op2 (e23) (e21)) = (e22))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> ((op2 (e20) (e23)) = (e20)) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e20) (e21)) = (e23))\/(((op2 (e20) (e22)) = (e23))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e22)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> ((op2 (e23) (op2 (e23) (e21))) = (e21)) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> (((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e21)) = (e22))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> (((op2 (e21) (e20)) = (e20))\/(((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e20)) = (e22))\/((op2 (e21) (e20)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> ((e22) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> ((e20) = (op2 (e21) (e21))) -> ((e23) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> ((op2 (e23) (e23)) = (e23)) -> ((op2 (e23) (op2 (e23) (e23))) = (e23)) -> False).
% 54.76/54.92 do 0 intro. intros zenon_H128 zenon_H6e zenon_H67 zenon_H41e zenon_H3cb zenon_H74 zenon_H8b zenon_Ha5 zenon_H98 zenon_H93 zenon_H3af zenon_H60 zenon_H429 zenon_H3c5 zenon_H39d zenon_H3b1 zenon_Hb0 zenon_H4a zenon_H45 zenon_H3f zenon_H3e zenon_H32 zenon_H9f zenon_H33 zenon_H3b zenon_H440 zenon_H3d9 zenon_H106 zenon_H424.
% 54.76/54.92 apply (zenon_or_s _ _ zenon_H128); [ zenon_intro zenon_H2b | zenon_intro zenon_H134 ].
% 54.76/54.92 apply (zenon_L420_); trivial.
% 54.76/54.92 apply (zenon_or_s _ _ zenon_H134); [ zenon_intro zenon_H4f | zenon_intro zenon_H135 ].
% 54.76/54.92 apply (zenon_L12_); trivial.
% 54.76/54.92 apply (zenon_or_s _ _ zenon_H135); [ zenon_intro zenon_H77 | zenon_intro zenon_H136 ].
% 54.76/54.92 apply (zenon_L424_); trivial.
% 54.76/54.92 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_H89 | zenon_intro zenon_H137 ].
% 54.76/54.92 apply (zenon_and_s _ _ zenon_H89). zenon_intro zenon_H8b. zenon_intro zenon_H8a.
% 54.76/54.92 apply (zenon_and_s _ _ zenon_H8a). zenon_intro zenon_H80. zenon_intro zenon_H8c.
% 54.76/54.92 apply (zenon_and_s _ _ zenon_H8c). zenon_intro zenon_H10b. zenon_intro zenon_H10a.
% 54.76/54.92 apply (zenon_and_s _ _ zenon_H10a). zenon_intro zenon_H10d. zenon_intro zenon_H10c.
% 54.76/54.92 apply (zenon_and_s _ _ zenon_H10c). zenon_intro zenon_H10e. zenon_intro zenon_H105.
% 54.76/54.92 apply (zenon_L53_); trivial.
% 54.76/54.92 apply (zenon_or_s _ _ zenon_H137); [ zenon_intro zenon_Hb6 | zenon_intro zenon_H138 ].
% 54.76/54.92 apply (zenon_L436_); trivial.
% 54.76/54.92 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H139 ].
% 54.76/54.92 apply (zenon_L32_); trivial.
% 54.76/54.92 apply (zenon_or_s _ _ zenon_H139); [ zenon_intro zenon_Hc8 | zenon_intro zenon_H13a ].
% 54.76/54.92 apply (zenon_and_s _ _ zenon_Hc8). zenon_intro zenon_Hc4. zenon_intro zenon_Hc9.
% 54.76/54.92 apply (zenon_and_s _ _ zenon_Hc9). zenon_intro zenon_H27f. zenon_intro zenon_Hda.
% 54.76/54.92 apply (zenon_L461_); trivial.
% 54.76/54.92 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_Hcd | zenon_intro zenon_H13b ].
% 54.76/54.92 apply (zenon_and_s _ _ zenon_Hcd). zenon_intro zenon_Hcb. zenon_intro zenon_Hce.
% 54.76/54.92 apply (zenon_and_s _ _ zenon_Hce). zenon_intro zenon_H283. zenon_intro zenon_H8c.
% 54.76/54.92 apply (zenon_and_s _ _ zenon_H8c). zenon_intro zenon_H10b. zenon_intro zenon_H10a.
% 54.76/54.92 apply (zenon_and_s _ _ zenon_H10a). zenon_intro zenon_H10d. zenon_intro zenon_H10c.
% 54.76/54.92 apply (zenon_and_s _ _ zenon_H10c). zenon_intro zenon_H10e. zenon_intro zenon_H105.
% 54.76/54.92 apply (zenon_L53_); trivial.
% 54.76/54.92 apply (zenon_or_s _ _ zenon_H13b); [ zenon_intro zenon_Hcf | zenon_intro zenon_H13c ].
% 54.76/54.92 apply (zenon_L38_); trivial.
% 54.76/54.92 apply (zenon_or_s _ _ zenon_H13c); [ zenon_intro zenon_Hd1 | zenon_intro zenon_H13d ].
% 54.76/54.92 apply (zenon_L39_); trivial.
% 54.76/54.92 apply (zenon_or_s _ _ zenon_H13d); [ zenon_intro zenon_Hd8 | zenon_intro zenon_H13e ].
% 54.76/54.92 apply (zenon_L41_); trivial.
% 54.76/54.92 apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_He0 | zenon_intro zenon_H13f ].
% 54.76/54.92 apply (zenon_and_s _ _ zenon_He0). zenon_intro zenon_He2. zenon_intro zenon_He1.
% 54.76/54.92 apply (zenon_and_s _ _ zenon_He1). zenon_intro zenon_H66. zenon_intro zenon_H8c.
% 54.76/54.92 apply (zenon_and_s _ _ zenon_H8c). zenon_intro zenon_H10b. zenon_intro zenon_H10a.
% 54.76/54.92 apply (zenon_and_s _ _ zenon_H10a). zenon_intro zenon_H10d. zenon_intro zenon_H10c.
% 54.76/54.92 apply (zenon_and_s _ _ zenon_H10c). zenon_intro zenon_H10e. zenon_intro zenon_H105.
% 54.76/54.92 apply (zenon_L53_); trivial.
% 54.76/54.92 apply (zenon_or_s _ _ zenon_H13f); [ zenon_intro zenon_He3 | zenon_intro zenon_H140 ].
% 54.76/54.92 apply (zenon_L43_); trivial.
% 54.76/54.92 apply (zenon_or_s _ _ zenon_H140); [ zenon_intro zenon_He6 | zenon_intro zenon_H141 ].
% 54.76/54.92 apply (zenon_and_s _ _ zenon_He6). zenon_intro zenon_He8. zenon_intro zenon_He7.
% 54.76/54.92 apply (zenon_and_s _ _ zenon_He7). zenon_intro zenon_He9. zenon_intro zenon_H52.
% 54.76/54.92 apply (zenon_L462_); trivial.
% 54.76/54.92 apply (zenon_or_s _ _ zenon_H141); [ zenon_intro zenon_H142 | zenon_intro zenon_H108 ].
% 54.76/54.92 apply (zenon_and_s _ _ zenon_H142). zenon_intro zenon_Hfb. zenon_intro zenon_H143.
% 54.76/54.92 apply (zenon_and_s _ _ zenon_H143). zenon_intro zenon_Heb. zenon_intro zenon_Hda.
% 54.76/54.92 apply (zenon_L463_); trivial.
% 54.76/54.92 apply (zenon_L464_); trivial.
% 54.76/54.92 (* end of lemma zenon_L465_ *)
% 54.76/54.92 assert (zenon_L466_ : (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e23) (e20)))) -> ((op2 (e22) (e21)) = (e23)) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> ((e22) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> ((e20) = (op2 (e21) (e21))) -> ((e23) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> ((op2 (e23) (op2 (e23) (e23))) = (e23)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (((op2 (e23) (e23)) = (e20))\/(((op2 (e23) (e23)) = (e21))\/(((op2 (e23) (e23)) = (e22))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e23) (e23)) = (e23))) -> False).
% 54.76/54.92 do 0 intro. intros zenon_H3b7 zenon_H55 zenon_H3ba zenon_H3c5 zenon_H60 zenon_H3f zenon_H33 zenon_H3b zenon_H6e zenon_H423 zenon_H424 zenon_H67 zenon_H382 zenon_H107.
% 54.76/54.92 apply (zenon_or_s _ _ zenon_H3b7); [ zenon_intro zenon_He5 | zenon_intro zenon_H3b8 ].
% 54.76/54.92 apply (zenon_L335_); trivial.
% 54.76/54.92 apply (zenon_or_s _ _ zenon_H3b8); [ zenon_intro zenon_He8 | zenon_intro zenon_H3b9 ].
% 54.76/54.92 apply (zenon_L446_); trivial.
% 54.76/54.92 apply (zenon_or_s _ _ zenon_H3b9); [ zenon_intro zenon_Hfb | zenon_intro zenon_H106 ].
% 54.76/54.92 apply (zenon_L428_); trivial.
% 54.76/54.92 exact (zenon_H107 zenon_H106).
% 54.76/54.92 (* end of lemma zenon_L466_ *)
% 54.76/54.92 assert (zenon_L467_ : ((op2 (e23) (op2 (e23) (e21))) = (e21)) -> ((op2 (e23) (e21)) = (e23)) -> ((op2 (e21) (e23)) = (e21)) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> False).
% 54.76/54.92 do 0 intro. intros zenon_H429 zenon_He8 zenon_Hcb zenon_H440.
% 54.76/54.92 elim (classic ((op2 (e23) (e23)) = (op2 (e23) (e23)))); [ zenon_intro zenon_H6f | zenon_intro zenon_H70 ].
% 54.76/54.92 cut (((op2 (e23) (e23)) = (op2 (e23) (e23))) = ((op2 (e21) (e23)) = (op2 (e23) (e23)))).
% 54.76/54.92 intro zenon_D_pnotp.
% 54.76/54.92 apply zenon_H440.
% 54.76/54.92 rewrite <- zenon_D_pnotp.
% 54.76/54.92 exact zenon_H6f.
% 54.76/54.92 cut (((op2 (e23) (e23)) = (op2 (e23) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H70].
% 54.76/54.92 cut (((op2 (e23) (e23)) = (op2 (e21) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H441].
% 54.76/54.92 congruence.
% 54.76/54.92 cut (((op2 (e23) (op2 (e23) (e21))) = (e21)) = ((op2 (e23) (e23)) = (op2 (e21) (e23)))).
% 54.76/54.92 intro zenon_D_pnotp.
% 54.76/54.92 apply zenon_H441.
% 54.76/54.92 rewrite <- zenon_D_pnotp.
% 54.76/54.92 exact zenon_H429.
% 54.76/54.92 cut (((e21) = (op2 (e21) (e23)))); [idtac | apply NNPP; zenon_intro zenon_Hcc].
% 54.76/54.92 cut (((op2 (e23) (op2 (e23) (e21))) = (op2 (e23) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H42c].
% 54.76/54.92 congruence.
% 54.76/54.92 elim (classic ((op2 (e23) (e23)) = (op2 (e23) (e23)))); [ zenon_intro zenon_H6f | zenon_intro zenon_H70 ].
% 54.76/54.92 cut (((op2 (e23) (e23)) = (op2 (e23) (e23))) = ((op2 (e23) (op2 (e23) (e21))) = (op2 (e23) (e23)))).
% 54.76/54.92 intro zenon_D_pnotp.
% 54.76/54.92 apply zenon_H42c.
% 54.76/54.92 rewrite <- zenon_D_pnotp.
% 54.76/54.92 exact zenon_H6f.
% 54.76/54.92 cut (((op2 (e23) (e23)) = (op2 (e23) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H70].
% 54.76/54.92 cut (((op2 (e23) (e23)) = (op2 (e23) (op2 (e23) (e21))))); [idtac | apply NNPP; zenon_intro zenon_H428].
% 54.76/54.92 congruence.
% 54.76/54.92 apply (zenon_L437_); trivial.
% 54.76/54.92 apply zenon_H70. apply refl_equal.
% 54.76/54.92 apply zenon_H70. apply refl_equal.
% 54.76/54.92 apply zenon_Hcc. apply sym_equal. exact zenon_Hcb.
% 54.76/54.92 apply zenon_H70. apply refl_equal.
% 54.76/54.92 apply zenon_H70. apply refl_equal.
% 54.76/54.92 (* end of lemma zenon_L467_ *)
% 54.76/54.92 assert (zenon_L468_ : (((op2 (e23) (op2 (e23) (e20))) = (e20))/\(((op2 (e23) (op2 (e23) (e21))) = (e21))/\(((op2 (e23) (op2 (e23) (e22))) = (e22))/\(((op2 (e23) (op2 (e23) (e23))) = (e23))/\(((~((op2 (e20) (e20)) = (e23)))\/((op2 (e20) (e23)) = (e20)))/\(((~((op2 (e21) (e21)) = (e23)))\/((op2 (e21) (e23)) = (e21)))/\(((~((op2 (e22) (e22)) = (e23)))\/((op2 (e22) (e23)) = (e22)))/\((~((op2 (e23) (e23)) = (e23)))\/((op2 (e23) (e23)) = (e23)))))))))) -> ((((op2 (e20) (e20)) = (e20))/\(((op2 (e20) (e20)) = (e20))/\(((~((op2 (e20) (e20)) = (e20)))\/(~((op2 (e20) (e20)) = (e20))))/\(((~((op2 (e20) (e21)) = (e20)))\/(~((op2 (e20) (e20)) = (e21))))/\(((~((op2 (e20) (e22)) = (e20)))\/(~((op2 (e20) (e20)) = (e22))))/\((~((op2 (e20) (e23)) = (e20)))\/(~((op2 (e20) (e20)) = (e23)))))))))\/((((op2 (e20) (e21)) = (e20))/\(((op2 (e21) (e20)) = (e20))/\(((~((op2 (e21) (e20)) = (e21)))\/(~((op2 (e21) (e21)) = (e20))))/\(((~((op2 (e21) (e21)) = (e21)))\/(~((op2 (e21) (e21)) = (e21))))/\(((~((op2 (e21) (e22)) = (e21)))\/(~((op2 (e21) (e21)) = (e22))))/\((~((op2 (e21) (e23)) = (e21)))\/(~((op2 (e21) (e21)) = (e23)))))))))\/((((op2 (e20) (e22)) = (e20))/\(((op2 (e22) (e20)) = (e20))/\(((~((op2 (e22) (e20)) = (e22)))\/(~((op2 (e22) (e22)) = (e20))))/\(((~((op2 (e22) (e21)) = (e22)))\/(~((op2 (e22) (e22)) = (e21))))/\(((~((op2 (e22) (e22)) = (e22)))\/(~((op2 (e22) (e22)) = (e22))))/\((~((op2 (e22) (e23)) = (e22)))\/(~((op2 (e22) (e22)) = (e23)))))))))\/((((op2 (e20) (e23)) = (e20))/\(((op2 (e23) (e20)) = (e20))/\(((~((op2 (e23) (e20)) = (e23)))\/(~((op2 (e23) (e23)) = (e20))))/\(((~((op2 (e23) (e21)) = (e23)))\/(~((op2 (e23) (e23)) = (e21))))/\(((~((op2 (e23) (e22)) = (e23)))\/(~((op2 (e23) (e23)) = (e22))))/\((~((op2 (e23) (e23)) = (e23)))\/(~((op2 (e23) (e23)) = (e23)))))))))\/((((op2 (e21) (e20)) = (e21))/\(((op2 (e20) (e21)) = (e21))/\(((~((op2 (e20) (e20)) = (e20)))\/(~((op2 (e20) (e20)) = (e20))))/\(((~((op2 (e20) (e21)) = (e20)))\/(~((op2 (e20) (e20)) = (e21))))/\(((~((op2 (e20) (e22)) = (e20)))\/(~((op2 (e20) (e20)) = (e22))))/\((~((op2 (e20) (e23)) = (e20)))\/(~((op2 (e20) (e20)) = (e23)))))))))\/((((op2 (e21) (e21)) = (e21))/\(((op2 (e21) (e21)) = (e21))/\(((~((op2 (e21) (e20)) = (e21)))\/(~((op2 (e21) (e21)) = (e20))))/\(((~((op2 (e21) (e21)) = (e21)))\/(~((op2 (e21) (e21)) = (e21))))/\(((~((op2 (e21) (e22)) = (e21)))\/(~((op2 (e21) (e21)) = (e22))))/\((~((op2 (e21) (e23)) = (e21)))\/(~((op2 (e21) (e21)) = (e23)))))))))\/((((op2 (e21) (e22)) = (e21))/\(((op2 (e22) (e21)) = (e21))/\(((~((op2 (e22) (e20)) = (e22)))\/(~((op2 (e22) (e22)) = (e20))))/\(((~((op2 (e22) (e21)) = (e22)))\/(~((op2 (e22) (e22)) = (e21))))/\(((~((op2 (e22) (e22)) = (e22)))\/(~((op2 (e22) (e22)) = (e22))))/\((~((op2 (e22) (e23)) = (e22)))\/(~((op2 (e22) (e22)) = (e23)))))))))\/((((op2 (e21) (e23)) = (e21))/\(((op2 (e23) (e21)) = (e21))/\(((~((op2 (e23) (e20)) = (e23)))\/(~((op2 (e23) (e23)) = (e20))))/\(((~((op2 (e23) (e21)) = (e23)))\/(~((op2 (e23) (e23)) = (e21))))/\(((~((op2 (e23) (e22)) = (e23)))\/(~((op2 (e23) (e23)) = (e22))))/\((~((op2 (e23) (e23)) = (e23)))\/(~((op2 (e23) (e23)) = (e23)))))))))\/((((op2 (e22) (e20)) = (e22))/\(((op2 (e20) (e22)) = (e22))/\(((~((op2 (e20) (e20)) = (e20)))\/(~((op2 (e20) (e20)) = (e20))))/\(((~((op2 (e20) (e21)) = (e20)))\/(~((op2 (e20) (e20)) = (e21))))/\(((~((op2 (e20) (e22)) = (e20)))\/(~((op2 (e20) (e20)) = (e22))))/\((~((op2 (e20) (e23)) = (e20)))\/(~((op2 (e20) (e20)) = (e23)))))))))\/((((op2 (e22) (e21)) = (e22))/\(((op2 (e21) (e22)) = (e22))/\(((~((op2 (e21) (e20)) = (e21)))\/(~((op2 (e21) (e21)) = (e20))))/\(((~((op2 (e21) (e21)) = (e21)))\/(~((op2 (e21) (e21)) = (e21))))/\(((~((op2 (e21) (e22)) = (e21)))\/(~((op2 (e21) (e21)) = (e22))))/\((~((op2 (e21) (e23)) = (e21)))\/(~((op2 (e21) (e21)) = (e23)))))))))\/((((op2 (e22) (e22)) = (e22))/\(((op2 (e22) (e22)) = (e22))/\(((~((op2 (e22) (e20)) = (e22)))\/(~((op2 (e22) (e22)) = (e20))))/\(((~((op2 (e22) (e21)) = (e22)))\/(~((op2 (e22) (e22)) = (e21))))/\(((~((op2 (e22) (e22)) = (e22)))\/(~((op2 (e22) (e22)) = (e22))))/\((~((op2 (e22) (e23)) = (e22)))\/(~((op2 (e22) (e22)) = (e23)))))))))\/((((op2 (e22) (e23)) = (e22))/\(((op2 (e23) (e22)) = (e22))/\(((~((op2 (e23) (e20)) = (e23)))\/(~((op2 (e23) (e23)) = (e20))))/\(((~((op2 (e23) (e21)) = (e23)))\/(~((op2 (e23) (e23)) = (e21))))/\(((~((op2 (e23) (e22)) = (e23)))\/(~((op2 (e23) (e23)) = (e22))))/\((~((op2 (e23) (e23)) = (e23)))\/(~((op2 (e23) (e23)) = (e23)))))))))\/((((op2 (e23) (e20)) = (e23))/\(((op2 (e20) (e23)) = (e23))/\(((~((op2 (e20) (e20)) = (e20)))\/(~((op2 (e20) (e20)) = (e20))))/\(((~((op2 (e20) (e21)) = (e20)))\/(~((op2 (e20) (e20)) = (e21))))/\(((~((op2 (e20) (e22)) = (e20)))\/(~((op2 (e20) (e20)) = (e22))))/\((~((op2 (e20) (e23)) = (e20)))\/(~((op2 (e20) (e20)) = (e23)))))))))\/((((op2 (e23) (e21)) = (e23))/\(((op2 (e21) (e23)) = (e23))/\(((~((op2 (e21) (e20)) = (e21)))\/(~((op2 (e21) (e21)) = (e20))))/\(((~((op2 (e21) (e21)) = (e21)))\/(~((op2 (e21) (e21)) = (e21))))/\(((~((op2 (e21) (e22)) = (e21)))\/(~((op2 (e21) (e21)) = (e22))))/\((~((op2 (e21) (e23)) = (e21)))\/(~((op2 (e21) (e21)) = (e23)))))))))\/((((op2 (e23) (e22)) = (e23))/\(((op2 (e22) (e23)) = (e23))/\(((~((op2 (e22) (e20)) = (e22)))\/(~((op2 (e22) (e22)) = (e20))))/\(((~((op2 (e22) (e21)) = (e22)))\/(~((op2 (e22) (e22)) = (e21))))/\(((~((op2 (e22) (e22)) = (e22)))\/(~((op2 (e22) (e22)) = (e22))))/\((~((op2 (e22) (e23)) = (e22)))\/(~((op2 (e22) (e22)) = (e23)))))))))\/(((op2 (e23) (e23)) = (e23))/\(((op2 (e23) (e23)) = (e23))/\(((~((op2 (e23) (e20)) = (e23)))\/(~((op2 (e23) (e23)) = (e20))))/\(((~((op2 (e23) (e21)) = (e23)))\/(~((op2 (e23) (e23)) = (e21))))/\(((~((op2 (e23) (e22)) = (e23)))\/(~((op2 (e23) (e23)) = (e22))))/\((~((op2 (e23) (e23)) = (e23)))\/(~((op2 (e23) (e23)) = (e23)))))))))))))))))))))))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e22) (e22)) = (e20))\/(((op2 (e22) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e22)) = (e23))))) -> (((op2 (e20) (e21)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e23) (e21)) = (e22))))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (((op2 (e20) (e22)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e23) (e22)) = (e23))))) -> (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> (~((e22) = (e23))) -> (((op2 (e22) (e20)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e22) (e23)) = (e23))))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> (((op2 (e20) (e21)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/((op2 (e23) (e21)) = (e23))))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> (((op2 (e23) (e23)) = (e20))\/(((op2 (e23) (e23)) = (e21))\/(((op2 (e23) (e23)) = (e22))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e23) (e20)))) -> (((op2 (e23) (e20)) = (e22))\/(((op2 (e23) (e21)) = (e22))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> ((e22) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (((op2 (e21) (e20)) = (e20))\/(((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e20)) = (e22))\/((op2 (e21) (e20)) = (e23))))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e21)) = (e22))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> ((e23) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((e20) = (op2 (e21) (e21))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e22)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e20) (e21)) = (e23))\/(((op2 (e20) (e22)) = (e23))\/((op2 (e20) (e23)) = (e23))))) -> False).
% 54.76/54.92 do 0 intro. intros zenon_H443 zenon_H128 zenon_Hfc zenon_H100 zenon_H3fd zenon_H437 zenon_H43a zenon_H433 zenon_H282 zenon_H3c5 zenon_Hf1 zenon_H11f zenon_Hec zenon_H3f1 zenon_Hb0 zenon_H3bd zenon_H3b7 zenon_H423 zenon_H382 zenon_H55 zenon_H74 zenon_H6e zenon_H67 zenon_H60 zenon_H3cb zenon_H32 zenon_H3e zenon_H3f zenon_H45 zenon_H4a zenon_H3d9 zenon_H440 zenon_H3b1 zenon_H3af zenon_H39d zenon_H93 zenon_H3b zenon_H33 zenon_H98 zenon_H9f zenon_Ha5.
% 54.76/54.92 apply (zenon_and_s _ _ zenon_H443). zenon_intro zenon_H41e. zenon_intro zenon_H444.
% 54.76/54.92 apply (zenon_and_s _ _ zenon_H444). zenon_intro zenon_H429. zenon_intro zenon_H445.
% 54.76/54.92 apply (zenon_and_s _ _ zenon_H445). zenon_intro zenon_H431. zenon_intro zenon_H446.
% 54.76/54.92 apply (zenon_and_s _ _ zenon_H446). zenon_intro zenon_H424. zenon_intro zenon_H447.
% 54.76/54.92 apply (zenon_and_s _ _ zenon_H447). zenon_intro zenon_H449. zenon_intro zenon_H448.
% 54.76/54.92 apply (zenon_and_s _ _ zenon_H448). zenon_intro zenon_H44b. zenon_intro zenon_H44a.
% 54.76/54.92 apply (zenon_and_s _ _ zenon_H44a). zenon_intro zenon_H44d. zenon_intro zenon_H44c.
% 54.76/54.92 apply (zenon_or_s _ _ zenon_H449); [ zenon_intro zenon_Ha6 | zenon_intro zenon_H8b ].
% 54.76/54.92 apply (zenon_L28_); trivial.
% 54.76/54.92 apply (zenon_or_s _ _ zenon_H44b); [ zenon_intro zenon_H389 | zenon_intro zenon_Hcb ].
% 54.76/54.92 apply (zenon_or_s _ _ zenon_H44d); [ zenon_intro zenon_H37f | zenon_intro zenon_He2 ].
% 54.76/54.92 apply (zenon_or_s _ _ zenon_H44c); [ zenon_intro zenon_H107 | zenon_intro zenon_H106 ].
% 54.76/54.92 apply (zenon_or_s _ _ zenon_H128); [ zenon_intro zenon_H2b | zenon_intro zenon_H134 ].
% 54.76/54.92 apply (zenon_L420_); trivial.
% 54.76/54.92 apply (zenon_or_s _ _ zenon_H134); [ zenon_intro zenon_H4f | zenon_intro zenon_H135 ].
% 54.76/54.92 apply (zenon_L12_); trivial.
% 54.76/54.92 apply (zenon_or_s _ _ zenon_H135); [ zenon_intro zenon_H77 | zenon_intro zenon_H136 ].
% 54.76/54.92 apply (zenon_L424_); trivial.
% 54.76/54.92 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_H89 | zenon_intro zenon_H137 ].
% 54.76/54.92 apply (zenon_L435_); trivial.
% 54.76/54.92 apply (zenon_or_s _ _ zenon_H137); [ zenon_intro zenon_Hb6 | zenon_intro zenon_H138 ].
% 54.76/54.92 apply (zenon_L436_); trivial.
% 54.76/54.92 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H139 ].
% 54.76/54.92 apply (zenon_L32_); trivial.
% 54.76/54.92 apply (zenon_or_s _ _ zenon_H139); [ zenon_intro zenon_Hc8 | zenon_intro zenon_H13a ].
% 54.76/54.92 apply (zenon_and_s _ _ zenon_Hc8). zenon_intro zenon_Hc4. zenon_intro zenon_Hc9.
% 54.76/54.92 apply (zenon_and_s _ _ zenon_Hc9). zenon_intro zenon_H27f. zenon_intro zenon_Hda.
% 54.76/54.92 apply (zenon_and_s _ _ zenon_Hda). zenon_intro zenon_Hdc. zenon_intro zenon_Hdb.
% 54.76/54.92 apply (zenon_and_s _ _ zenon_Hdb). zenon_intro zenon_Hde. zenon_intro zenon_Hdd.
% 54.76/54.92 apply (zenon_and_s _ _ zenon_Hdd). zenon_intro zenon_Hd5. zenon_intro zenon_Hdf.
% 54.76/54.92 apply (zenon_or_s _ _ zenon_Hde); [ zenon_intro zenon_Hf2 | zenon_intro zenon_H101 ].
% 54.76/54.92 apply (zenon_L453_); trivial.
% 54.76/54.92 apply (zenon_or_s _ _ zenon_Hd5); [ zenon_intro zenon_Hd7 | zenon_intro zenon_Hd7 ].
% 54.76/54.92 apply (zenon_L455_); trivial.
% 54.76/54.92 apply (zenon_L455_); trivial.
% 54.76/54.92 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_Hcd | zenon_intro zenon_H13b ].
% 54.76/54.92 apply (zenon_L456_); trivial.
% 54.76/54.92 apply (zenon_or_s _ _ zenon_H13b); [ zenon_intro zenon_Hcf | zenon_intro zenon_H13c ].
% 54.76/54.92 apply (zenon_L38_); trivial.
% 54.76/54.92 apply (zenon_or_s _ _ zenon_H13c); [ zenon_intro zenon_Hd1 | zenon_intro zenon_H13d ].
% 54.76/54.92 apply (zenon_L39_); trivial.
% 54.76/54.92 apply (zenon_or_s _ _ zenon_H13d); [ zenon_intro zenon_Hd8 | zenon_intro zenon_H13e ].
% 54.76/54.92 apply (zenon_L41_); trivial.
% 54.76/54.92 apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_He0 | zenon_intro zenon_H13f ].
% 54.76/54.92 apply (zenon_L42_); trivial.
% 54.76/54.92 apply (zenon_or_s _ _ zenon_H13f); [ zenon_intro zenon_He3 | zenon_intro zenon_H140 ].
% 54.76/54.92 apply (zenon_L43_); trivial.
% 54.76/54.92 apply (zenon_or_s _ _ zenon_H140); [ zenon_intro zenon_He6 | zenon_intro zenon_H141 ].
% 54.76/54.92 apply (zenon_L44_); trivial.
% 54.76/54.92 apply (zenon_or_s _ _ zenon_H141); [ zenon_intro zenon_H142 | zenon_intro zenon_H108 ].
% 54.76/54.92 apply (zenon_L457_); trivial.
% 54.76/54.92 apply (zenon_L458_); trivial.
% 54.76/54.92 apply (zenon_L465_); trivial.
% 54.76/54.92 apply (zenon_or_s _ _ zenon_H44c); [ zenon_intro zenon_H107 | zenon_intro zenon_H106 ].
% 54.76/54.92 apply (zenon_or_s _ _ zenon_H128); [ zenon_intro zenon_H2b | zenon_intro zenon_H134 ].
% 54.76/54.92 apply (zenon_L420_); trivial.
% 54.76/54.92 apply (zenon_or_s _ _ zenon_H134); [ zenon_intro zenon_H4f | zenon_intro zenon_H135 ].
% 54.76/54.92 apply (zenon_L12_); trivial.
% 54.76/54.92 apply (zenon_or_s _ _ zenon_H135); [ zenon_intro zenon_H77 | zenon_intro zenon_H136 ].
% 54.76/54.92 apply (zenon_L424_); trivial.
% 54.76/54.92 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_H89 | zenon_intro zenon_H137 ].
% 54.76/54.92 apply (zenon_L435_); trivial.
% 54.76/54.92 apply (zenon_or_s _ _ zenon_H137); [ zenon_intro zenon_Hb6 | zenon_intro zenon_H138 ].
% 54.76/54.92 apply (zenon_L436_); trivial.
% 54.76/54.92 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H139 ].
% 54.76/54.92 apply (zenon_L32_); trivial.
% 54.76/54.92 apply (zenon_or_s _ _ zenon_H139); [ zenon_intro zenon_Hc8 | zenon_intro zenon_H13a ].
% 54.76/54.92 apply (zenon_and_s _ _ zenon_Hc8). zenon_intro zenon_Hc4. zenon_intro zenon_Hc9.
% 54.76/54.92 apply (zenon_and_s _ _ zenon_Hc9). zenon_intro zenon_H27f. zenon_intro zenon_Hda.
% 54.76/54.92 apply (zenon_and_s _ _ zenon_Hda). zenon_intro zenon_Hdc. zenon_intro zenon_Hdb.
% 54.76/54.92 apply (zenon_and_s _ _ zenon_Hdb). zenon_intro zenon_Hde. zenon_intro zenon_Hdd.
% 54.76/54.92 apply (zenon_and_s _ _ zenon_Hdd). zenon_intro zenon_Hd5. zenon_intro zenon_Hdf.
% 54.76/54.92 apply (zenon_or_s _ _ zenon_Hdf); [ zenon_intro zenon_H281 | zenon_intro zenon_H37f ].
% 54.76/54.92 exact (zenon_H281 zenon_He2).
% 54.76/54.92 apply (zenon_or_s _ _ zenon_H3bd); [ zenon_intro zenon_H92 | zenon_intro zenon_H3be ].
% 54.76/54.92 apply (zenon_L25_); trivial.
% 54.76/54.92 apply (zenon_or_s _ _ zenon_H3be); [ zenon_intro zenon_H388 | zenon_intro zenon_H3bf ].
% 54.76/54.92 exact (zenon_H389 zenon_H388).
% 54.76/54.92 apply (zenon_or_s _ _ zenon_H3bf); [ zenon_intro zenon_H3ba | zenon_intro zenon_He8 ].
% 54.76/54.92 apply (zenon_L466_); trivial.
% 54.76/54.92 apply (zenon_L447_); trivial.
% 54.76/54.92 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_Hcd | zenon_intro zenon_H13b ].
% 54.76/54.92 apply (zenon_L456_); trivial.
% 54.76/54.92 apply (zenon_or_s _ _ zenon_H13b); [ zenon_intro zenon_Hcf | zenon_intro zenon_H13c ].
% 54.76/54.92 apply (zenon_L38_); trivial.
% 54.76/54.92 apply (zenon_or_s _ _ zenon_H13c); [ zenon_intro zenon_Hd1 | zenon_intro zenon_H13d ].
% 54.76/54.92 apply (zenon_L39_); trivial.
% 54.76/54.92 apply (zenon_or_s _ _ zenon_H13d); [ zenon_intro zenon_Hd8 | zenon_intro zenon_H13e ].
% 54.76/54.92 apply (zenon_L41_); trivial.
% 54.76/54.92 apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_He0 | zenon_intro zenon_H13f ].
% 54.76/54.92 apply (zenon_L42_); trivial.
% 54.76/54.92 apply (zenon_or_s _ _ zenon_H13f); [ zenon_intro zenon_He3 | zenon_intro zenon_H140 ].
% 54.76/54.92 apply (zenon_L43_); trivial.
% 54.76/54.92 apply (zenon_or_s _ _ zenon_H140); [ zenon_intro zenon_He6 | zenon_intro zenon_H141 ].
% 54.76/54.92 apply (zenon_L44_); trivial.
% 54.76/54.92 apply (zenon_or_s _ _ zenon_H141); [ zenon_intro zenon_H142 | zenon_intro zenon_H108 ].
% 54.76/54.92 apply (zenon_L457_); trivial.
% 54.76/54.92 apply (zenon_L458_); trivial.
% 54.76/54.92 apply (zenon_L465_); trivial.
% 54.76/54.92 apply (zenon_or_s _ _ zenon_H44c); [ zenon_intro zenon_H107 | zenon_intro zenon_H106 ].
% 54.76/54.92 apply (zenon_or_s _ _ zenon_H3b7); [ zenon_intro zenon_He5 | zenon_intro zenon_H3b8 ].
% 54.76/54.92 apply (zenon_L335_); trivial.
% 54.76/54.92 apply (zenon_or_s _ _ zenon_H3b8); [ zenon_intro zenon_He8 | zenon_intro zenon_H3b9 ].
% 54.76/54.92 apply (zenon_L467_); trivial.
% 54.76/54.92 apply (zenon_or_s _ _ zenon_H3b9); [ zenon_intro zenon_Hfb | zenon_intro zenon_H106 ].
% 54.76/54.92 apply (zenon_L428_); trivial.
% 54.76/54.92 exact (zenon_H107 zenon_H106).
% 54.76/54.92 apply (zenon_L465_); trivial.
% 54.76/54.92 (* end of lemma zenon_L468_ *)
% 54.76/54.92 assert (zenon_L469_ : (~((h2 (e12)) = (e22))) -> ((h2 (e12)) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> ((e22) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> False).
% 54.76/54.92 do 0 intro. intros zenon_H44e zenon_H44f zenon_H3f.
% 54.76/54.92 cut (((h2 (e12)) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) = ((h2 (e12)) = (e22))).
% 54.76/54.92 intro zenon_D_pnotp.
% 54.76/54.92 apply zenon_H44e.
% 54.76/54.92 rewrite <- zenon_D_pnotp.
% 54.76/54.92 exact zenon_H44f.
% 54.76/54.92 cut (((op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21))) = (e22))); [idtac | apply NNPP; zenon_intro zenon_H450].
% 54.76/54.92 cut (((h2 (e12)) = (h2 (e12)))); [idtac | apply NNPP; zenon_intro zenon_H451].
% 54.76/54.92 congruence.
% 54.76/54.92 apply zenon_H451. apply refl_equal.
% 54.76/54.92 apply zenon_H450. apply sym_equal. exact zenon_H3f.
% 54.76/54.92 (* end of lemma zenon_L469_ *)
% 54.76/54.92 assert (zenon_L470_ : (~((h2 (op1 (e10) (e12))) = (op2 (h2 (e10)) (h2 (e12))))) -> ((op1 (e10) (e12)) = (e10)) -> ((op2 (e20) (e22)) = (e20)) -> ((h2 (e10)) = (op2 (e21) (e21))) -> ((e20) = (op2 (e21) (e21))) -> ((h2 (e12)) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> ((e22) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> False).
% 54.76/54.92 do 0 intro. intros zenon_H452 zenon_H18f zenon_H57 zenon_H26c zenon_H33 zenon_H44f zenon_H3f.
% 54.76/54.92 cut (((h2 (e10)) = (op2 (e21) (e21))) = ((h2 (op1 (e10) (e12))) = (op2 (h2 (e10)) (h2 (e12))))).
% 54.76/54.92 intro zenon_D_pnotp.
% 54.76/54.92 apply zenon_H452.
% 54.76/54.92 rewrite <- zenon_D_pnotp.
% 54.76/54.92 exact zenon_H26c.
% 54.76/54.92 cut (((op2 (e21) (e21)) = (op2 (h2 (e10)) (h2 (e12))))); [idtac | apply NNPP; zenon_intro zenon_H453].
% 54.76/54.92 cut (((h2 (e10)) = (h2 (op1 (e10) (e12))))); [idtac | apply NNPP; zenon_intro zenon_H454].
% 54.76/54.92 congruence.
% 54.76/54.92 elim (classic ((h2 (op1 (e10) (e12))) = (h2 (op1 (e10) (e12))))); [ zenon_intro zenon_H455 | zenon_intro zenon_H456 ].
% 54.76/54.92 cut (((h2 (op1 (e10) (e12))) = (h2 (op1 (e10) (e12)))) = ((h2 (e10)) = (h2 (op1 (e10) (e12))))).
% 54.76/54.92 intro zenon_D_pnotp.
% 54.76/54.92 apply zenon_H454.
% 54.76/54.92 rewrite <- zenon_D_pnotp.
% 54.76/54.92 exact zenon_H455.
% 54.76/54.92 cut (((h2 (op1 (e10) (e12))) = (h2 (op1 (e10) (e12))))); [idtac | apply NNPP; zenon_intro zenon_H456].
% 54.76/54.92 cut (((h2 (op1 (e10) (e12))) = (h2 (e10)))); [idtac | apply NNPP; zenon_intro zenon_H457].
% 54.76/54.92 congruence.
% 54.76/54.92 cut (((op1 (e10) (e12)) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H458].
% 54.76/54.92 congruence.
% 54.76/54.92 exact (zenon_H458 zenon_H18f).
% 54.76/54.92 apply zenon_H456. apply refl_equal.
% 54.76/54.92 apply zenon_H456. apply refl_equal.
% 54.76/54.92 elim (classic ((op2 (h2 (e10)) (h2 (e12))) = (op2 (h2 (e10)) (h2 (e12))))); [ zenon_intro zenon_H459 | zenon_intro zenon_H45a ].
% 54.76/54.92 cut (((op2 (h2 (e10)) (h2 (e12))) = (op2 (h2 (e10)) (h2 (e12)))) = ((op2 (e21) (e21)) = (op2 (h2 (e10)) (h2 (e12))))).
% 54.76/54.92 intro zenon_D_pnotp.
% 54.76/54.92 apply zenon_H453.
% 54.76/54.92 rewrite <- zenon_D_pnotp.
% 54.76/54.92 exact zenon_H459.
% 54.76/54.92 cut (((op2 (h2 (e10)) (h2 (e12))) = (op2 (h2 (e10)) (h2 (e12))))); [idtac | apply NNPP; zenon_intro zenon_H45a].
% 54.76/54.92 cut (((op2 (h2 (e10)) (h2 (e12))) = (op2 (e21) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H45b].
% 54.76/54.92 congruence.
% 54.76/54.92 cut (((op2 (e20) (e22)) = (e20)) = ((op2 (h2 (e10)) (h2 (e12))) = (op2 (e21) (e21)))).
% 54.76/54.92 intro zenon_D_pnotp.
% 54.76/54.92 apply zenon_H45b.
% 54.76/54.92 rewrite <- zenon_D_pnotp.
% 54.76/54.92 exact zenon_H57.
% 54.76/54.92 cut (((e20) = (op2 (e21) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H45c].
% 54.76/54.92 cut (((op2 (e20) (e22)) = (op2 (h2 (e10)) (h2 (e12))))); [idtac | apply NNPP; zenon_intro zenon_H45d].
% 54.76/54.92 congruence.
% 54.76/54.92 elim (classic ((op2 (h2 (e10)) (h2 (e12))) = (op2 (h2 (e10)) (h2 (e12))))); [ zenon_intro zenon_H459 | zenon_intro zenon_H45a ].
% 54.76/54.92 cut (((op2 (h2 (e10)) (h2 (e12))) = (op2 (h2 (e10)) (h2 (e12)))) = ((op2 (e20) (e22)) = (op2 (h2 (e10)) (h2 (e12))))).
% 54.76/54.92 intro zenon_D_pnotp.
% 54.76/54.92 apply zenon_H45d.
% 54.76/54.92 rewrite <- zenon_D_pnotp.
% 54.76/54.92 exact zenon_H459.
% 54.76/54.92 cut (((op2 (h2 (e10)) (h2 (e12))) = (op2 (h2 (e10)) (h2 (e12))))); [idtac | apply NNPP; zenon_intro zenon_H45a].
% 54.76/54.92 cut (((op2 (h2 (e10)) (h2 (e12))) = (op2 (e20) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H45e].
% 54.76/54.92 congruence.
% 54.76/54.92 cut (((h2 (e12)) = (e22))); [idtac | apply NNPP; zenon_intro zenon_H44e].
% 54.76/54.92 cut (((h2 (e10)) = (e20))); [idtac | apply NNPP; zenon_intro zenon_H26b].
% 54.76/54.92 congruence.
% 54.76/54.92 apply (zenon_L127_); trivial.
% 54.76/54.92 apply (zenon_L469_); trivial.
% 54.76/54.92 apply zenon_H45a. apply refl_equal.
% 54.76/54.92 apply zenon_H45a. apply refl_equal.
% 54.76/54.92 exact (zenon_H45c zenon_H33).
% 54.76/54.92 apply zenon_H45a. apply refl_equal.
% 54.76/54.92 apply zenon_H45a. apply refl_equal.
% 54.76/54.92 (* end of lemma zenon_L470_ *)
% 54.76/54.92 assert (zenon_L471_ : (((op1 (e10) (e12)) = (e10))/\(((op1 (e12) (e10)) = (e10))/\(((~((op1 (e12) (e10)) = (e12)))\/(~((op1 (e12) (e12)) = (e10))))/\(((~((op1 (e12) (e11)) = (e12)))\/(~((op1 (e12) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13))))))))) -> (~((h2 (op1 (e10) (e12))) = (op2 (h2 (e10)) (h2 (e12))))) -> ((op2 (e20) (e22)) = (e20)) -> ((h2 (e10)) = (op2 (e21) (e21))) -> ((e20) = (op2 (e21) (e21))) -> ((h2 (e12)) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> ((e22) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> False).
% 54.76/54.92 do 0 intro. intros zenon_H197 zenon_H452 zenon_H57 zenon_H26c zenon_H33 zenon_H44f zenon_H3f.
% 54.76/54.92 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_H18f. zenon_intro zenon_H198.
% 54.76/54.92 apply (zenon_L470_); trivial.
% 54.76/54.92 (* end of lemma zenon_L471_ *)
% 54.76/54.92 assert (zenon_L472_ : (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (~((op1 (e10) (e10)) = (e10))) -> ((e10) = (op1 (e11) (e11))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> ((e22) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> ((h2 (e12)) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> ((e20) = (op2 (e21) (e21))) -> ((h2 (e10)) = (op2 (e21) (e21))) -> ((op2 (e20) (e22)) = (e20)) -> (~((h2 (op1 (e10) (e12))) = (op2 (h2 (e10)) (h2 (e12))))) -> (~((op1 (e10) (e13)) = (e10))) -> False).
% 54.76/54.92 do 0 intro. intros zenon_H246 zenon_H146 zenon_H13 zenon_H19d zenon_H3f zenon_H44f zenon_H33 zenon_H26c zenon_H57 zenon_H452 zenon_H25f.
% 54.76/54.92 apply (zenon_or_s _ _ zenon_H246); [ zenon_intro zenon_H145 | zenon_intro zenon_H260 ].
% 54.76/54.92 exact (zenon_H146 zenon_H145).
% 54.76/54.92 apply (zenon_or_s _ _ zenon_H260); [ zenon_intro zenon_H166 | zenon_intro zenon_H261 ].
% 54.76/54.92 apply (zenon_L78_); trivial.
% 54.76/54.92 apply (zenon_or_s _ _ zenon_H261); [ zenon_intro zenon_H18f | zenon_intro zenon_H19b ].
% 54.76/54.92 apply (zenon_L470_); trivial.
% 54.76/54.92 exact (zenon_H25f zenon_H19b).
% 54.76/54.92 (* end of lemma zenon_L472_ *)
% 54.76/54.92 assert (zenon_L473_ : ((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> ((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (e10))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> ((e10) = (op1 (e11) (e11))) -> (~((h2 (op1 (e10) (e12))) = (op2 (h2 (e10)) (h2 (e12))))) -> ((e22) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> ((h2 (e12)) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> ((e20) = (op2 (e21) (e21))) -> ((h2 (e10)) = (op2 (e21) (e21))) -> ((op2 (e20) (e22)) = (e20)) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> False).
% 54.76/54.92 do 0 intro. intros zenon_H25d zenon_H17 zenon_H15 zenon_H1e zenon_H25 zenon_H1a0 zenon_H146 zenon_H19d zenon_H13 zenon_H452 zenon_H3f zenon_H44f zenon_H33 zenon_H26c zenon_H57 zenon_H246.
% 54.76/54.92 apply (zenon_or_s _ _ zenon_H25d); [ zenon_intro zenon_H25f | zenon_intro zenon_H1a1 ].
% 54.76/54.92 apply (zenon_L472_); trivial.
% 54.76/54.92 apply (zenon_L79_); trivial.
% 54.76/54.92 (* end of lemma zenon_L473_ *)
% 54.76/54.92 assert (zenon_L474_ : (((op1 (e11) (e10)) = (e11))/\(((op1 (e10) (e11)) = (e11))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11))))/\(((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12))))/\((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13))))))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> ((op2 (e20) (e22)) = (e20)) -> ((h2 (e10)) = (op2 (e21) (e21))) -> ((e20) = (op2 (e21) (e21))) -> ((h2 (e12)) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> ((e22) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> (~((h2 (op1 (e10) (e12))) = (op2 (h2 (e10)) (h2 (e12))))) -> ((e10) = (op1 (e11) (e11))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> ((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> False).
% 54.76/54.92 do 0 intro. intros zenon_H259 zenon_H246 zenon_H57 zenon_H26c zenon_H33 zenon_H44f zenon_H3f zenon_H452 zenon_H13 zenon_H19d zenon_H1a0 zenon_H25 zenon_H1e zenon_H15 zenon_H17.
% 54.76/54.92 apply (zenon_and_s _ _ zenon_H259). zenon_intro zenon_H163. zenon_intro zenon_H25a.
% 54.76/54.92 apply (zenon_and_s _ _ zenon_H25a). zenon_intro zenon_H1fe. zenon_intro zenon_H149.
% 54.76/54.92 apply (zenon_and_s _ _ zenon_H149). zenon_intro zenon_H144. zenon_intro zenon_H14a.
% 54.76/54.92 apply (zenon_and_s _ _ zenon_H14a). zenon_intro zenon_H25c. zenon_intro zenon_H25b.
% 54.76/54.92 apply (zenon_and_s _ _ zenon_H25b). zenon_intro zenon_H25e. zenon_intro zenon_H25d.
% 54.76/54.92 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_H146 | zenon_intro zenon_H146 ].
% 54.76/54.92 apply (zenon_L473_); trivial.
% 54.76/54.92 apply (zenon_L473_); trivial.
% 54.76/54.92 (* end of lemma zenon_L474_ *)
% 54.76/54.92 assert (zenon_L475_ : ((((op1 (e10) (e10)) = (e10))/\(((op1 (e10) (e10)) = (e10))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11))))/\(((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12))))/\((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))))))))\/((((op1 (e10) (e11)) = (e10))/\(((op1 (e11) (e10)) = (e10))/\(((~((op1 (e11) (e10)) = (e11)))\/(~((op1 (e11) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e11) (e12)) = (e11)))\/(~((op1 (e11) (e11)) = (e12))))/\((~((op1 (e11) (e13)) = (e11)))\/(~((op1 (e11) (e11)) = (e13)))))))))\/((((op1 (e10) (e12)) = (e10))/\(((op1 (e12) (e10)) = (e10))/\(((~((op1 (e12) (e10)) = (e12)))\/(~((op1 (e12) (e12)) = (e10))))/\(((~((op1 (e12) (e11)) = (e12)))\/(~((op1 (e12) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13)))))))))\/((((op1 (e10) (e13)) = (e10))/\(((op1 (e13) (e10)) = (e10))/\(((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e13) (e13)) = (e10))))/\(((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11))))/\(((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e13) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13)))))))))\/((((op1 (e11) (e10)) = (e11))/\(((op1 (e10) (e11)) = (e11))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11))))/\(((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12))))/\((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))))))))\/((((op1 (e11) (e11)) = (e11))/\(((op1 (e11) (e11)) = (e11))/\(((~((op1 (e11) (e10)) = (e11)))\/(~((op1 (e11) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e11) (e12)) = (e11)))\/(~((op1 (e11) (e11)) = (e12))))/\((~((op1 (e11) (e13)) = (e11)))\/(~((op1 (e11) (e11)) = (e13)))))))))\/((((op1 (e11) (e12)) = (e11))/\(((op1 (e12) (e11)) = (e11))/\(((~((op1 (e12) (e10)) = (e12)))\/(~((op1 (e12) (e12)) = (e10))))/\(((~((op1 (e12) (e11)) = (e12)))\/(~((op1 (e12) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13)))))))))\/((((op1 (e11) (e13)) = (e11))/\(((op1 (e13) (e11)) = (e11))/\(((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e13) (e13)) = (e10))))/\(((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11))))/\(((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e13) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13)))))))))\/((((op1 (e12) (e10)) = (e12))/\(((op1 (e10) (e12)) = (e12))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11))))/\(((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12))))/\((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))))))))\/((((op1 (e12) (e11)) = (e12))/\(((op1 (e11) (e12)) = (e12))/\(((~((op1 (e11) (e10)) = (e11)))\/(~((op1 (e11) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e11) (e12)) = (e11)))\/(~((op1 (e11) (e11)) = (e12))))/\((~((op1 (e11) (e13)) = (e11)))\/(~((op1 (e11) (e11)) = (e13)))))))))\/((((op1 (e12) (e12)) = (e12))/\(((op1 (e12) (e12)) = (e12))/\(((~((op1 (e12) (e10)) = (e12)))\/(~((op1 (e12) (e12)) = (e10))))/\(((~((op1 (e12) (e11)) = (e12)))\/(~((op1 (e12) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13)))))))))\/((((op1 (e12) (e13)) = (e12))/\(((op1 (e13) (e12)) = (e12))/\(((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e13) (e13)) = (e10))))/\(((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11))))/\(((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e13) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13)))))))))\/((((op1 (e13) (e10)) = (e13))/\(((op1 (e10) (e13)) = (e13))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11))))/\(((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12))))/\((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))))))))\/((((op1 (e13) (e11)) = (e13))/\(((op1 (e11) (e13)) = (e13))/\(((~((op1 (e11) (e10)) = (e11)))\/(~((op1 (e11) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e11) (e12)) = (e11)))\/(~((op1 (e11) (e11)) = (e12))))/\((~((op1 (e11) (e13)) = (e11)))\/(~((op1 (e11) (e11)) = (e13)))))))))\/((((op1 (e13) (e12)) = (e13))/\(((op1 (e12) (e13)) = (e13))/\(((~((op1 (e12) (e10)) = (e12)))\/(~((op1 (e12) (e12)) = (e10))))/\(((~((op1 (e12) (e11)) = (e12)))\/(~((op1 (e12) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13)))))))))\/(((op1 (e13) (e13)) = (e13))/\(((op1 (e13) (e13)) = (e13))/\(((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e13) (e13)) = (e10))))/\(((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11))))/\(((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e13) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13)))))))))))))))))))))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((e10) = (e12))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (~((h2 (op1 (e10) (e12))) = (op2 (h2 (e10)) (h2 (e12))))) -> ((e22) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> ((h2 (e12)) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> ((e20) = (op2 (e21) (e21))) -> ((h2 (e10)) = (op2 (e21) (e21))) -> ((op2 (e20) (e22)) = (e20)) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> ((op1 (e13) (e11)) = (e13)) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e12))\/((op1 (e11) (e10)) = (e13))))) -> ((e12) = (op1 (op1 (op1 (e11) (e11)) (op1 (e11) (e11))) (op1 (e11) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> ((op1 (e11) (op1 (e11) (e13))) = (e13)) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> ((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) -> ((e10) = (op1 (e11) (e11))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> False).
% 54.76/54.93 do 0 intro. intros zenon_H245 zenon_H180 zenon_H172 zenon_H16c zenon_H186 zenon_H17 zenon_H1e zenon_H1a0 zenon_H19d zenon_H452 zenon_H3f zenon_H44f zenon_H33 zenon_H26c zenon_H57 zenon_H246 zenon_H1a9 zenon_H1c3 zenon_H18a zenon_H21a zenon_H179 zenon_H25 zenon_H15f zenon_H155 zenon_H154 zenon_H14b zenon_H29e zenon_H2c0 zenon_H1f4 zenon_H15 zenon_H13 zenon_H2b9 zenon_H15a zenon_H2c2.
% 54.76/54.93 apply (zenon_or_s _ _ zenon_H245); [ zenon_intro zenon_H147 | zenon_intro zenon_H254 ].
% 54.76/54.93 apply (zenon_L60_); trivial.
% 54.76/54.93 apply (zenon_or_s _ _ zenon_H254); [ zenon_intro zenon_H164 | zenon_intro zenon_H255 ].
% 54.76/54.93 apply (zenon_L66_); trivial.
% 54.76/54.93 apply (zenon_or_s _ _ zenon_H255); [ zenon_intro zenon_H197 | zenon_intro zenon_H256 ].
% 54.76/54.93 apply (zenon_L471_); trivial.
% 54.76/54.93 apply (zenon_or_s _ _ zenon_H256); [ zenon_intro zenon_H199 | zenon_intro zenon_H257 ].
% 54.76/54.93 apply (zenon_L77_); trivial.
% 54.76/54.93 apply (zenon_or_s _ _ zenon_H257); [ zenon_intro zenon_H259 | zenon_intro zenon_H258 ].
% 54.76/54.93 apply (zenon_L474_); trivial.
% 54.76/54.93 apply (zenon_or_s _ _ zenon_H258); [ zenon_intro zenon_H1a5 | zenon_intro zenon_H262 ].
% 54.76/54.93 apply (zenon_L80_); trivial.
% 54.76/54.93 apply (zenon_or_s _ _ zenon_H262); [ zenon_intro zenon_H1ae | zenon_intro zenon_H263 ].
% 54.76/54.93 apply (zenon_L83_); trivial.
% 54.76/54.93 apply (zenon_or_s _ _ zenon_H263); [ zenon_intro zenon_H212 | zenon_intro zenon_H264 ].
% 54.76/54.93 apply (zenon_L167_); trivial.
% 54.76/54.93 apply (zenon_or_s _ _ zenon_H264); [ zenon_intro zenon_H220 | zenon_intro zenon_H265 ].
% 54.76/54.93 apply (zenon_L110_); trivial.
% 54.76/54.93 apply (zenon_or_s _ _ zenon_H265); [ zenon_intro zenon_H222 | zenon_intro zenon_H266 ].
% 54.76/54.93 apply (zenon_L111_); trivial.
% 54.76/54.93 apply (zenon_or_s _ _ zenon_H266); [ zenon_intro zenon_H225 | zenon_intro zenon_H267 ].
% 54.76/54.93 apply (zenon_L113_); trivial.
% 54.76/54.93 apply (zenon_or_s _ _ zenon_H267); [ zenon_intro zenon_H22d | zenon_intro zenon_H268 ].
% 54.76/54.93 apply (zenon_L114_); trivial.
% 54.76/54.93 apply (zenon_or_s _ _ zenon_H268); [ zenon_intro zenon_H230 | zenon_intro zenon_H269 ].
% 54.76/54.93 apply (zenon_L115_); trivial.
% 54.76/54.93 apply (zenon_or_s _ _ zenon_H269); [ zenon_intro zenon_H232 | zenon_intro zenon_H26a ].
% 54.76/54.93 apply (zenon_L116_); trivial.
% 54.76/54.93 apply (zenon_or_s _ _ zenon_H26a); [ zenon_intro zenon_H240 | zenon_intro zenon_H242 ].
% 54.76/54.93 apply (zenon_L166_); trivial.
% 54.76/54.93 apply (zenon_L125_); trivial.
% 54.76/54.93 (* end of lemma zenon_L475_ *)
% 54.76/54.93 assert (zenon_L476_ : (((op2 (e20) (e22)) = (e20))/\(((op2 (e22) (e20)) = (e20))/\(((~((op2 (e22) (e20)) = (e22)))\/(~((op2 (e22) (e22)) = (e20))))/\(((~((op2 (e22) (e21)) = (e22)))\/(~((op2 (e22) (e22)) = (e21))))/\(((~((op2 (e22) (e22)) = (e22)))\/(~((op2 (e22) (e22)) = (e22))))/\((~((op2 (e22) (e23)) = (e22)))\/(~((op2 (e22) (e22)) = (e23))))))))) -> ((((op1 (e10) (op1 (e10) (e10))) = (e10))/\(((op1 (e10) (op1 (e10) (e11))) = (e11))/\(((op1 (e10) (op1 (e10) (e12))) = (e12))/\(((op1 (e10) (op1 (e10) (e13))) = (e13))/\(((~((op1 (e10) (e10)) = (e10)))\/((op1 (e10) (e10)) = (e10)))/\(((~((op1 (e11) (e11)) = (e10)))\/((op1 (e11) (e10)) = (e11)))/\(((~((op1 (e12) (e12)) = (e10)))\/((op1 (e12) (e10)) = (e12)))/\((~((op1 (e13) (e13)) = (e10)))\/((op1 (e13) (e10)) = (e13))))))))))\/((((op1 (e11) (op1 (e11) (e10))) = (e10))/\(((op1 (e11) (op1 (e11) (e11))) = (e11))/\(((op1 (e11) (op1 (e11) (e12))) = (e12))/\(((op1 (e11) (op1 (e11) (e13))) = (e13))/\(((~((op1 (e10) (e10)) = (e11)))\/((op1 (e10) (e11)) = (e10)))/\(((~((op1 (e11) (e11)) = (e11)))\/((op1 (e11) (e11)) = (e11)))/\(((~((op1 (e12) (e12)) = (e11)))\/((op1 (e12) (e11)) = (e12)))/\((~((op1 (e13) (e13)) = (e11)))\/((op1 (e13) (e11)) = (e13))))))))))\/((((op1 (e12) (op1 (e12) (e10))) = (e10))/\(((op1 (e12) (op1 (e12) (e11))) = (e11))/\(((op1 (e12) (op1 (e12) (e12))) = (e12))/\(((op1 (e12) (op1 (e12) (e13))) = (e13))/\(((~((op1 (e10) (e10)) = (e12)))\/((op1 (e10) (e12)) = (e10)))/\(((~((op1 (e11) (e11)) = (e12)))\/((op1 (e11) (e12)) = (e11)))/\(((~((op1 (e12) (e12)) = (e12)))\/((op1 (e12) (e12)) = (e12)))/\((~((op1 (e13) (e13)) = (e12)))\/((op1 (e13) (e12)) = (e13))))))))))\/(((op1 (e13) (op1 (e13) (e10))) = (e10))/\(((op1 (e13) (op1 (e13) (e11))) = (e11))/\(((op1 (e13) (op1 (e13) (e12))) = (e12))/\(((op1 (e13) (op1 (e13) (e13))) = (e13))/\(((~((op1 (e10) (e10)) = (e13)))\/((op1 (e10) (e13)) = (e10)))/\(((~((op1 (e11) (e11)) = (e13)))\/((op1 (e11) (e13)) = (e11)))/\(((~((op1 (e12) (e12)) = (e13)))\/((op1 (e12) (e13)) = (e12)))/\((~((op1 (e13) (e13)) = (e13)))\/((op1 (e13) (e13)) = (e13))))))))))))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> ((h2 (e10)) = (op2 (e21) (e21))) -> ((e20) = (op2 (e21) (e21))) -> ((h2 (e12)) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> ((e22) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> (~((h2 (op1 (e10) (e12))) = (op2 (h2 (e10)) (h2 (e12))))) -> (~((e10) = (e12))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (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)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (((op1 (e10) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e12) (e11)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((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 (e11) (e11)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e12) (e13)) = (e10))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> ((((op1 (e10) (e10)) = (e10))/\(((op1 (e10) (e10)) = (e10))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11))))/\(((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12))))/\((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))))))))\/((((op1 (e10) (e11)) = (e10))/\(((op1 (e11) (e10)) = (e10))/\(((~((op1 (e11) (e10)) = (e11)))\/(~((op1 (e11) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e11) (e12)) = (e11)))\/(~((op1 (e11) (e11)) = (e12))))/\((~((op1 (e11) (e13)) = (e11)))\/(~((op1 (e11) (e11)) = (e13)))))))))\/((((op1 (e10) (e12)) = (e10))/\(((op1 (e12) (e10)) = (e10))/\(((~((op1 (e12) (e10)) = (e12)))\/(~((op1 (e12) (e12)) = (e10))))/\(((~((op1 (e12) (e11)) = (e12)))\/(~((op1 (e12) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13)))))))))\/((((op1 (e10) (e13)) = (e10))/\(((op1 (e13) (e10)) = (e10))/\(((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e13) (e13)) = (e10))))/\(((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11))))/\(((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e13) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13)))))))))\/((((op1 (e11) (e10)) = (e11))/\(((op1 (e10) (e11)) = (e11))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11))))/\(((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12))))/\((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))))))))\/((((op1 (e11) (e11)) = (e11))/\(((op1 (e11) (e11)) = (e11))/\(((~((op1 (e11) (e10)) = (e11)))\/(~((op1 (e11) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e11) (e12)) = (e11)))\/(~((op1 (e11) (e11)) = (e12))))/\((~((op1 (e11) (e13)) = (e11)))\/(~((op1 (e11) (e11)) = (e13)))))))))\/((((op1 (e11) (e12)) = (e11))/\(((op1 (e12) (e11)) = (e11))/\(((~((op1 (e12) (e10)) = (e12)))\/(~((op1 (e12) (e12)) = (e10))))/\(((~((op1 (e12) (e11)) = (e12)))\/(~((op1 (e12) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13)))))))))\/((((op1 (e11) (e13)) = (e11))/\(((op1 (e13) (e11)) = (e11))/\(((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e13) (e13)) = (e10))))/\(((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11))))/\(((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e13) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13)))))))))\/((((op1 (e12) (e10)) = (e12))/\(((op1 (e10) (e12)) = (e12))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11))))/\(((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12))))/\((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))))))))\/((((op1 (e12) (e11)) = (e12))/\(((op1 (e11) (e12)) = (e12))/\(((~((op1 (e11) (e10)) = (e11)))\/(~((op1 (e11) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e11) (e12)) = (e11)))\/(~((op1 (e11) (e11)) = (e12))))/\((~((op1 (e11) (e13)) = (e11)))\/(~((op1 (e11) (e11)) = (e13)))))))))\/((((op1 (e12) (e12)) = (e12))/\(((op1 (e12) (e12)) = (e12))/\(((~((op1 (e12) (e10)) = (e12)))\/(~((op1 (e12) (e12)) = (e10))))/\(((~((op1 (e12) (e11)) = (e12)))\/(~((op1 (e12) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13)))))))))\/((((op1 (e12) (e13)) = (e12))/\(((op1 (e13) (e12)) = (e12))/\(((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e13) (e13)) = (e10))))/\(((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11))))/\(((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e13) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13)))))))))\/((((op1 (e13) (e10)) = (e13))/\(((op1 (e10) (e13)) = (e13))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11))))/\(((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12))))/\((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))))))))\/((((op1 (e13) (e11)) = (e13))/\(((op1 (e11) (e13)) = (e13))/\(((~((op1 (e11) (e10)) = (e11)))\/(~((op1 (e11) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e11) (e12)) = (e11)))\/(~((op1 (e11) (e11)) = (e12))))/\((~((op1 (e11) (e13)) = (e11)))\/(~((op1 (e11) (e11)) = (e13)))))))))\/((((op1 (e13) (e12)) = (e13))/\(((op1 (e12) (e13)) = (e13))/\(((~((op1 (e12) (e10)) = (e12)))\/(~((op1 (e12) (e12)) = (e10))))/\(((~((op1 (e12) (e11)) = (e12)))\/(~((op1 (e12) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13)))))))))\/(((op1 (e13) (e13)) = (e13))/\(((op1 (e13) (e13)) = (e13))/\(((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e13) (e13)) = (e10))))/\(((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11))))/\(((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e13) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13)))))))))))))))))))))))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((e12) = (e13))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e13)) = (e10))\/(((op1 (e13) (e13)) = (e11))\/(((op1 (e13) (e13)) = (e12))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> ((e12) = (op1 (op1 (op1 (e11) (e11)) (op1 (e11) (e11))) (op1 (e11) (e11)))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e12))\/((op1 (e11) (e10)) = (e13))))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> ((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) -> ((e10) = (op1 (e11) (e11))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> False).
% 54.76/54.93 do 0 intro. intros zenon_H77 zenon_H36e zenon_H192 zenon_H1ed zenon_H1de zenon_H26c zenon_H33 zenon_H44f zenon_H3f zenon_H452 zenon_H16c zenon_H2a5 zenon_H2b1 zenon_H1fa zenon_H1e8 zenon_H1f7 zenon_H32b zenon_H206 zenon_H32e zenon_H1a9 zenon_H246 zenon_H2fd zenon_H2c0 zenon_H2b9 zenon_H328 zenon_H325 zenon_H322 zenon_H1f4 zenon_H2c2 zenon_H321 zenon_H301 zenon_H30b zenon_H204 zenon_H30e zenon_H316 zenon_H19d zenon_H2ea zenon_H2e2 zenon_H2a3 zenon_H2e6 zenon_H2d9 zenon_H1cc zenon_H2d1 zenon_H245 zenon_H1d8 zenon_H1da zenon_H209 zenon_H358 zenon_H2c9 zenon_H355 zenon_H1fd zenon_H2f6 zenon_H23b zenon_H2ad zenon_H236 zenon_H2e7 zenon_H21a zenon_H313 zenon_H1be zenon_H345 zenon_H20c zenon_H1b1 zenon_H186 zenon_H180 zenon_H179 zenon_H172 zenon_H18e zenon_H14b zenon_H154 zenon_H155 zenon_H15a zenon_H15f zenon_H2fb zenon_H360 zenon_H2f8 zenon_H35d zenon_H18a zenon_H17 zenon_H15 zenon_H13 zenon_H1e zenon_H25 zenon_H1a0.
% 54.76/54.93 apply (zenon_and_s _ _ zenon_H77). zenon_intro zenon_H57. zenon_intro zenon_H78.
% 54.76/54.93 apply (zenon_or_s _ _ zenon_H36e); [ zenon_intro zenon_H244 | zenon_intro zenon_H36f ].
% 54.76/54.93 apply (zenon_L126_); trivial.
% 54.76/54.93 apply (zenon_or_s _ _ zenon_H36f); [ zenon_intro zenon_H371 | zenon_intro zenon_H370 ].
% 54.76/54.93 apply (zenon_and_s _ _ zenon_H371). zenon_intro zenon_H292. zenon_intro zenon_H372.
% 54.76/54.93 apply (zenon_and_s _ _ zenon_H372). zenon_intro zenon_H2a6. zenon_intro zenon_H373.
% 54.76/54.93 apply (zenon_and_s _ _ zenon_H373). zenon_intro zenon_H375. zenon_intro zenon_H374.
% 54.76/54.93 apply (zenon_and_s _ _ zenon_H374). zenon_intro zenon_H29e. zenon_intro zenon_H376.
% 54.76/54.93 apply (zenon_and_s _ _ zenon_H376). zenon_intro zenon_H378. zenon_intro zenon_H377.
% 54.76/54.93 apply (zenon_and_s _ _ zenon_H377). zenon_intro zenon_H37a. zenon_intro zenon_H379.
% 54.76/54.93 apply (zenon_and_s _ _ zenon_H379). zenon_intro zenon_H37c. zenon_intro zenon_H37b.
% 54.76/54.93 apply (zenon_or_s _ _ zenon_H37c); [ zenon_intro zenon_H23f | zenon_intro zenon_H202 ].
% 54.76/54.93 apply (zenon_or_s _ _ zenon_H37b); [ zenon_intro zenon_H20d | zenon_intro zenon_H1c3 ].
% 54.76/54.93 apply (zenon_or_s _ _ zenon_H245); [ zenon_intro zenon_H147 | zenon_intro zenon_H254 ].
% 54.76/54.93 apply (zenon_L60_); trivial.
% 54.76/54.93 apply (zenon_or_s _ _ zenon_H254); [ zenon_intro zenon_H164 | zenon_intro zenon_H255 ].
% 54.76/54.93 apply (zenon_L66_); trivial.
% 54.76/54.93 apply (zenon_or_s _ _ zenon_H255); [ zenon_intro zenon_H197 | zenon_intro zenon_H256 ].
% 54.76/54.93 apply (zenon_L471_); trivial.
% 54.76/54.93 apply (zenon_or_s _ _ zenon_H256); [ zenon_intro zenon_H199 | zenon_intro zenon_H257 ].
% 54.76/54.93 apply (zenon_L77_); trivial.
% 54.76/54.93 apply (zenon_or_s _ _ zenon_H257); [ zenon_intro zenon_H259 | zenon_intro zenon_H258 ].
% 54.76/54.93 apply (zenon_L474_); trivial.
% 54.76/54.93 apply (zenon_or_s _ _ zenon_H258); [ zenon_intro zenon_H1a5 | zenon_intro zenon_H262 ].
% 54.76/54.93 apply (zenon_L80_); trivial.
% 54.76/54.93 apply (zenon_or_s _ _ zenon_H262); [ zenon_intro zenon_H1ae | zenon_intro zenon_H263 ].
% 54.76/54.93 apply (zenon_L83_); trivial.
% 54.76/54.93 apply (zenon_or_s _ _ zenon_H263); [ zenon_intro zenon_H212 | zenon_intro zenon_H264 ].
% 54.76/54.93 apply (zenon_L161_); trivial.
% 54.76/54.93 apply (zenon_or_s _ _ zenon_H264); [ zenon_intro zenon_H220 | zenon_intro zenon_H265 ].
% 54.76/54.93 apply (zenon_L110_); trivial.
% 54.76/54.93 apply (zenon_or_s _ _ zenon_H265); [ zenon_intro zenon_H222 | zenon_intro zenon_H266 ].
% 54.76/54.93 apply (zenon_L111_); trivial.
% 54.76/54.93 apply (zenon_or_s _ _ zenon_H266); [ zenon_intro zenon_H225 | zenon_intro zenon_H267 ].
% 54.76/54.93 apply (zenon_L113_); trivial.
% 54.76/54.93 apply (zenon_or_s _ _ zenon_H267); [ zenon_intro zenon_H22d | zenon_intro zenon_H268 ].
% 54.76/54.93 apply (zenon_L114_); trivial.
% 54.76/54.93 apply (zenon_or_s _ _ zenon_H268); [ zenon_intro zenon_H230 | zenon_intro zenon_H269 ].
% 54.76/54.93 apply (zenon_L115_); trivial.
% 54.76/54.93 apply (zenon_or_s _ _ zenon_H269); [ zenon_intro zenon_H232 | zenon_intro zenon_H26a ].
% 54.76/54.93 apply (zenon_L116_); trivial.
% 54.76/54.93 apply (zenon_or_s _ _ zenon_H26a); [ zenon_intro zenon_H240 | zenon_intro zenon_H242 ].
% 54.76/54.93 apply (zenon_L166_); trivial.
% 54.76/54.93 apply (zenon_L125_); trivial.
% 54.76/54.93 apply (zenon_L475_); trivial.
% 54.76/54.93 apply (zenon_or_s _ _ zenon_H245); [ zenon_intro zenon_H147 | zenon_intro zenon_H254 ].
% 54.76/54.93 apply (zenon_L60_); trivial.
% 54.76/54.93 apply (zenon_or_s _ _ zenon_H254); [ zenon_intro zenon_H164 | zenon_intro zenon_H255 ].
% 54.76/54.93 apply (zenon_L66_); trivial.
% 54.76/54.93 apply (zenon_or_s _ _ zenon_H255); [ zenon_intro zenon_H197 | zenon_intro zenon_H256 ].
% 54.76/54.93 apply (zenon_L471_); trivial.
% 54.76/54.93 apply (zenon_or_s _ _ zenon_H256); [ zenon_intro zenon_H199 | zenon_intro zenon_H257 ].
% 54.76/54.93 apply (zenon_L77_); trivial.
% 54.76/54.93 apply (zenon_or_s _ _ zenon_H257); [ zenon_intro zenon_H259 | zenon_intro zenon_H258 ].
% 54.76/54.93 apply (zenon_L474_); trivial.
% 54.76/54.93 apply (zenon_or_s _ _ zenon_H258); [ zenon_intro zenon_H1a5 | zenon_intro zenon_H262 ].
% 54.76/54.93 apply (zenon_L80_); trivial.
% 54.76/54.93 apply (zenon_or_s _ _ zenon_H262); [ zenon_intro zenon_H1ae | zenon_intro zenon_H263 ].
% 54.76/54.93 apply (zenon_L83_); trivial.
% 54.76/54.93 apply (zenon_or_s _ _ zenon_H263); [ zenon_intro zenon_H212 | zenon_intro zenon_H264 ].
% 54.76/54.93 apply (zenon_L169_); trivial.
% 54.76/54.93 apply (zenon_or_s _ _ zenon_H264); [ zenon_intro zenon_H220 | zenon_intro zenon_H265 ].
% 54.76/54.93 apply (zenon_L110_); trivial.
% 54.76/54.93 apply (zenon_or_s _ _ zenon_H265); [ zenon_intro zenon_H222 | zenon_intro zenon_H266 ].
% 54.76/54.93 apply (zenon_L111_); trivial.
% 54.76/54.93 apply (zenon_or_s _ _ zenon_H266); [ zenon_intro zenon_H225 | zenon_intro zenon_H267 ].
% 54.76/54.93 apply (zenon_L113_); trivial.
% 54.76/54.93 apply (zenon_or_s _ _ zenon_H267); [ zenon_intro zenon_H22d | zenon_intro zenon_H268 ].
% 54.76/54.93 apply (zenon_L114_); trivial.
% 54.76/54.93 apply (zenon_or_s _ _ zenon_H268); [ zenon_intro zenon_H230 | zenon_intro zenon_H269 ].
% 54.76/54.93 apply (zenon_L115_); trivial.
% 54.76/54.93 apply (zenon_or_s _ _ zenon_H269); [ zenon_intro zenon_H232 | zenon_intro zenon_H26a ].
% 54.76/54.93 apply (zenon_L116_); trivial.
% 54.76/54.93 apply (zenon_or_s _ _ zenon_H26a); [ zenon_intro zenon_H240 | zenon_intro zenon_H242 ].
% 54.76/54.93 apply (zenon_L166_); trivial.
% 54.76/54.93 apply (zenon_L125_); trivial.
% 54.76/54.93 apply (zenon_or_s _ _ zenon_H370); [ zenon_intro zenon_H335 | zenon_intro zenon_H363 ].
% 54.76/54.93 apply (zenon_L260_); trivial.
% 54.76/54.93 apply (zenon_L307_); trivial.
% 54.76/54.93 (* end of lemma zenon_L476_ *)
% 54.76/54.93 assert (zenon_L477_ : (((op1 (e10) (e12)) = (e10))/\(((op1 (e12) (e10)) = (e10))/\(((~((op1 (e12) (e10)) = (e12)))\/(~((op1 (e12) (e12)) = (e10))))/\(((~((op1 (e12) (e11)) = (e12)))\/(~((op1 (e12) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13))))))))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e20) (e21)) = (e20))\/(((op2 (e20) (e22)) = (e20))\/((op2 (e20) (e23)) = (e20))))) -> (~((op2 (e20) (e20)) = (e20))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> ((e22) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> ((h2 (e12)) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> ((e20) = (op2 (e21) (e21))) -> ((h2 (e10)) = (op2 (e21) (e21))) -> (~((h2 (op1 (e10) (e12))) = (op2 (h2 (e10)) (h2 (e12))))) -> (~((op2 (e20) (e23)) = (e20))) -> False).
% 54.76/54.93 do 0 intro. intros zenon_H197 zenon_Hac zenon_H31 zenon_H8d zenon_H3f zenon_H44f zenon_H33 zenon_H26c zenon_H452 zenon_Had.
% 54.76/54.93 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_H18f. zenon_intro zenon_H198.
% 54.76/54.93 apply (zenon_or_s _ _ zenon_Hac); [ zenon_intro zenon_H2d | zenon_intro zenon_Hae ].
% 54.76/54.93 exact (zenon_H31 zenon_H2d).
% 54.76/54.93 apply (zenon_or_s _ _ zenon_Hae); [ zenon_intro zenon_H51 | zenon_intro zenon_Haf ].
% 54.76/54.93 apply (zenon_L24_); trivial.
% 54.76/54.93 apply (zenon_or_s _ _ zenon_Haf); [ zenon_intro zenon_H57 | zenon_intro zenon_H8b ].
% 54.76/54.93 apply (zenon_L470_); trivial.
% 54.76/54.93 exact (zenon_Had zenon_H8b).
% 54.76/54.93 (* end of lemma zenon_L477_ *)
% 54.76/54.93 assert (zenon_L478_ : ((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> ((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op2 (e20) (e20)) = (e20))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> ((e20) = (op2 (e21) (e21))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> ((h2 (e10)) = (op2 (e21) (e21))) -> ((h2 (e12)) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> ((e22) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> (~((h2 (op1 (e10) (e12))) = (op2 (h2 (e10)) (h2 (e12))))) -> ((e10) = (op1 (e11) (e11))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (~((op1 (e10) (e10)) = (e10))) -> (~((op2 (e20) (e23)) = (e20))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e20) (e21)) = (e20))\/(((op2 (e20) (e22)) = (e20))\/((op2 (e20) (e23)) = (e20))))) -> False).
% 54.76/54.93 do 0 intro. intros zenon_H25d zenon_H17 zenon_H15 zenon_H1e zenon_H25 zenon_H1a0 zenon_H31 zenon_H8d zenon_H33 zenon_H246 zenon_H26c zenon_H44f zenon_H3f zenon_H452 zenon_H13 zenon_H19d zenon_H146 zenon_Had zenon_Hac.
% 54.76/54.93 apply (zenon_or_s _ _ zenon_H25d); [ zenon_intro zenon_H25f | zenon_intro zenon_H1a1 ].
% 54.76/54.93 apply (zenon_or_s _ _ zenon_Hac); [ zenon_intro zenon_H2d | zenon_intro zenon_Hae ].
% 54.76/54.93 exact (zenon_H31 zenon_H2d).
% 54.76/54.93 apply (zenon_or_s _ _ zenon_Hae); [ zenon_intro zenon_H51 | zenon_intro zenon_Haf ].
% 54.76/54.93 apply (zenon_L24_); trivial.
% 54.76/54.93 apply (zenon_or_s _ _ zenon_Haf); [ zenon_intro zenon_H57 | zenon_intro zenon_H8b ].
% 54.76/54.93 apply (zenon_L472_); trivial.
% 54.76/54.93 exact (zenon_Had zenon_H8b).
% 54.76/54.93 apply (zenon_L79_); trivial.
% 54.76/54.93 (* end of lemma zenon_L478_ *)
% 54.76/54.93 assert (zenon_L479_ : (((op1 (e11) (e10)) = (e11))/\(((op1 (e10) (e11)) = (e11))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11))))/\(((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12))))/\((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13))))))))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e20) (e21)) = (e20))\/(((op2 (e20) (e22)) = (e20))\/((op2 (e20) (e23)) = (e20))))) -> (~((op2 (e20) (e23)) = (e20))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> ((e10) = (op1 (e11) (e11))) -> (~((h2 (op1 (e10) (e12))) = (op2 (h2 (e10)) (h2 (e12))))) -> ((e22) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> ((h2 (e12)) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> ((h2 (e10)) = (op2 (e21) (e21))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> ((e20) = (op2 (e21) (e21))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> (~((op2 (e20) (e20)) = (e20))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> ((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> False).
% 54.76/54.93 do 0 intro. intros zenon_H259 zenon_Hac zenon_Had zenon_H19d zenon_H13 zenon_H452 zenon_H3f zenon_H44f zenon_H26c zenon_H246 zenon_H33 zenon_H8d zenon_H31 zenon_H1a0 zenon_H25 zenon_H1e zenon_H15 zenon_H17.
% 54.76/54.93 apply (zenon_and_s _ _ zenon_H259). zenon_intro zenon_H163. zenon_intro zenon_H25a.
% 54.76/54.93 apply (zenon_and_s _ _ zenon_H25a). zenon_intro zenon_H1fe. zenon_intro zenon_H149.
% 54.76/54.93 apply (zenon_and_s _ _ zenon_H149). zenon_intro zenon_H144. zenon_intro zenon_H14a.
% 54.76/54.93 apply (zenon_and_s _ _ zenon_H14a). zenon_intro zenon_H25c. zenon_intro zenon_H25b.
% 54.76/54.93 apply (zenon_and_s _ _ zenon_H25b). zenon_intro zenon_H25e. zenon_intro zenon_H25d.
% 54.76/54.93 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_H146 | zenon_intro zenon_H146 ].
% 54.76/54.93 apply (zenon_L478_); trivial.
% 54.76/54.93 apply (zenon_L478_); trivial.
% 54.76/54.93 (* end of lemma zenon_L479_ *)
% 54.76/54.93 assert (zenon_L480_ : ((~((op2 (e20) (e23)) = (e20)))\/(~((op2 (e20) (e20)) = (e23)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> ((e23) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e22)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e20) (e21)) = (e23))\/(((op2 (e20) (e22)) = (e23))\/((op2 (e20) (e23)) = (e23))))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e12))\/((op1 (e11) (e10)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> ((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) -> ((e12) = (op1 (op1 (op1 (e11) (e11)) (op1 (e11) (e11))) (op1 (e11) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((e10) = (e12))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e11)) = (e12))\/((op1 (e10) (e11)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (((op1 (e13) (e13)) = (e10))\/(((op1 (e13) (e13)) = (e11))\/(((op1 (e13) (e13)) = (e12))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (~((e12) = (e13))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> ((((op1 (e10) (e10)) = (e10))/\(((op1 (e10) (e10)) = (e10))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11))))/\(((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12))))/\((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))))))))\/((((op1 (e10) (e11)) = (e10))/\(((op1 (e11) (e10)) = (e10))/\(((~((op1 (e11) (e10)) = (e11)))\/(~((op1 (e11) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e11) (e12)) = (e11)))\/(~((op1 (e11) (e11)) = (e12))))/\((~((op1 (e11) (e13)) = (e11)))\/(~((op1 (e11) (e11)) = (e13)))))))))\/((((op1 (e10) (e12)) = (e10))/\(((op1 (e12) (e10)) = (e10))/\(((~((op1 (e12) (e10)) = (e12)))\/(~((op1 (e12) (e12)) = (e10))))/\(((~((op1 (e12) (e11)) = (e12)))\/(~((op1 (e12) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13)))))))))\/((((op1 (e10) (e13)) = (e10))/\(((op1 (e13) (e10)) = (e10))/\(((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e13) (e13)) = (e10))))/\(((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11))))/\(((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e13) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13)))))))))\/((((op1 (e11) (e10)) = (e11))/\(((op1 (e10) (e11)) = (e11))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11))))/\(((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12))))/\((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))))))))\/((((op1 (e11) (e11)) = (e11))/\(((op1 (e11) (e11)) = (e11))/\(((~((op1 (e11) (e10)) = (e11)))\/(~((op1 (e11) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e11) (e12)) = (e11)))\/(~((op1 (e11) (e11)) = (e12))))/\((~((op1 (e11) (e13)) = (e11)))\/(~((op1 (e11) (e11)) = (e13)))))))))\/((((op1 (e11) (e12)) = (e11))/\(((op1 (e12) (e11)) = (e11))/\(((~((op1 (e12) (e10)) = (e12)))\/(~((op1 (e12) (e12)) = (e10))))/\(((~((op1 (e12) (e11)) = (e12)))\/(~((op1 (e12) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13)))))))))\/((((op1 (e11) (e13)) = (e11))/\(((op1 (e13) (e11)) = (e11))/\(((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e13) (e13)) = (e10))))/\(((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11))))/\(((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e13) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13)))))))))\/((((op1 (e12) (e10)) = (e12))/\(((op1 (e10) (e12)) = (e12))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11))))/\(((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12))))/\((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))))))))\/((((op1 (e12) (e11)) = (e12))/\(((op1 (e11) (e12)) = (e12))/\(((~((op1 (e11) (e10)) = (e11)))\/(~((op1 (e11) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e11) (e12)) = (e11)))\/(~((op1 (e11) (e11)) = (e12))))/\((~((op1 (e11) (e13)) = (e11)))\/(~((op1 (e11) (e11)) = (e13)))))))))\/((((op1 (e12) (e12)) = (e12))/\(((op1 (e12) (e12)) = (e12))/\(((~((op1 (e12) (e10)) = (e12)))\/(~((op1 (e12) (e12)) = (e10))))/\(((~((op1 (e12) (e11)) = (e12)))\/(~((op1 (e12) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13)))))))))\/((((op1 (e12) (e13)) = (e12))/\(((op1 (e13) (e12)) = (e12))/\(((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e13) (e13)) = (e10))))/\(((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11))))/\(((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e13) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13)))))))))\/((((op1 (e13) (e10)) = (e13))/\(((op1 (e10) (e13)) = (e13))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11))))/\(((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12))))/\((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))))))))\/((((op1 (e13) (e11)) = (e13))/\(((op1 (e11) (e13)) = (e13))/\(((~((op1 (e11) (e10)) = (e11)))\/(~((op1 (e11) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e11) (e12)) = (e11)))\/(~((op1 (e11) (e11)) = (e12))))/\((~((op1 (e11) (e13)) = (e11)))\/(~((op1 (e11) (e11)) = (e13)))))))))\/((((op1 (e13) (e12)) = (e13))/\(((op1 (e12) (e13)) = (e13))/\(((~((op1 (e12) (e10)) = (e12)))\/(~((op1 (e12) (e12)) = (e10))))/\(((~((op1 (e12) (e11)) = (e12)))\/(~((op1 (e12) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13)))))))))\/(((op1 (e13) (e13)) = (e13))/\(((op1 (e13) (e13)) = (e13))/\(((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e13) (e13)) = (e10))))/\(((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11))))/\(((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e13) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13)))))))))))))))))))))))) -> ((e10) = (op1 (e11) (e11))) -> (~((op2 (e20) (e20)) = (e20))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> ((e20) = (op2 (e21) (e21))) -> (~((h2 (op1 (e10) (e12))) = (op2 (h2 (e10)) (h2 (e12))))) -> ((e22) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> ((h2 (e12)) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> ((h2 (e10)) = (op2 (e21) (e21))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e20) (e21)) = (e20))\/(((op2 (e20) (e22)) = (e20))\/((op2 (e20) (e23)) = (e20))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (((op1 (e10) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e12) (e11)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e12) (e13)) = (e10))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> ((((op1 (e10) (op1 (e10) (e10))) = (e10))/\(((op1 (e10) (op1 (e10) (e11))) = (e11))/\(((op1 (e10) (op1 (e10) (e12))) = (e12))/\(((op1 (e10) (op1 (e10) (e13))) = (e13))/\(((~((op1 (e10) (e10)) = (e10)))\/((op1 (e10) (e10)) = (e10)))/\(((~((op1 (e11) (e11)) = (e10)))\/((op1 (e11) (e10)) = (e11)))/\(((~((op1 (e12) (e12)) = (e10)))\/((op1 (e12) (e10)) = (e12)))/\((~((op1 (e13) (e13)) = (e10)))\/((op1 (e13) (e10)) = (e13))))))))))\/((((op1 (e11) (op1 (e11) (e10))) = (e10))/\(((op1 (e11) (op1 (e11) (e11))) = (e11))/\(((op1 (e11) (op1 (e11) (e12))) = (e12))/\(((op1 (e11) (op1 (e11) (e13))) = (e13))/\(((~((op1 (e10) (e10)) = (e11)))\/((op1 (e10) (e11)) = (e10)))/\(((~((op1 (e11) (e11)) = (e11)))\/((op1 (e11) (e11)) = (e11)))/\(((~((op1 (e12) (e12)) = (e11)))\/((op1 (e12) (e11)) = (e12)))/\((~((op1 (e13) (e13)) = (e11)))\/((op1 (e13) (e11)) = (e13))))))))))\/((((op1 (e12) (op1 (e12) (e10))) = (e10))/\(((op1 (e12) (op1 (e12) (e11))) = (e11))/\(((op1 (e12) (op1 (e12) (e12))) = (e12))/\(((op1 (e12) (op1 (e12) (e13))) = (e13))/\(((~((op1 (e10) (e10)) = (e12)))\/((op1 (e10) (e12)) = (e10)))/\(((~((op1 (e11) (e11)) = (e12)))\/((op1 (e11) (e12)) = (e11)))/\(((~((op1 (e12) (e12)) = (e12)))\/((op1 (e12) (e12)) = (e12)))/\((~((op1 (e13) (e13)) = (e12)))\/((op1 (e13) (e12)) = (e13))))))))))\/(((op1 (e13) (op1 (e13) (e10))) = (e10))/\(((op1 (e13) (op1 (e13) (e11))) = (e11))/\(((op1 (e13) (op1 (e13) (e12))) = (e12))/\(((op1 (e13) (op1 (e13) (e13))) = (e13))/\(((~((op1 (e10) (e10)) = (e13)))\/((op1 (e10) (e13)) = (e10)))/\(((~((op1 (e11) (e11)) = (e13)))\/((op1 (e11) (e13)) = (e11)))/\(((~((op1 (e12) (e12)) = (e13)))\/((op1 (e12) (e13)) = (e12)))/\((~((op1 (e13) (e13)) = (e13)))\/((op1 (e13) (e13)) = (e13))))))))))))) -> False).
% 54.76/54.93 do 0 intro. intros zenon_Haa zenon_H93 zenon_H3b zenon_H98 zenon_H9f zenon_Ha5 zenon_H15f zenon_H15a zenon_H15 zenon_H155 zenon_H154 zenon_H14b zenon_H186 zenon_H180 zenon_H179 zenon_H172 zenon_H16c zenon_H18a zenon_H18e zenon_H192 zenon_H246 zenon_H19d zenon_H1a0 zenon_H25 zenon_H1e zenon_H17 zenon_H1a9 zenon_H209 zenon_H206 zenon_H204 zenon_H1fd zenon_H1fa zenon_H1f7 zenon_H1f4 zenon_H1ed zenon_H1e8 zenon_H1da zenon_H1d8 zenon_H1cc zenon_H1de zenon_H1b1 zenon_H1be zenon_H20c zenon_H21a zenon_H236 zenon_H23b zenon_H245 zenon_H13 zenon_H31 zenon_H8d zenon_H33 zenon_H452 zenon_H3f zenon_H44f zenon_H26c zenon_Hac zenon_H2a3 zenon_H2a5 zenon_H2ad zenon_H2b1 zenon_H2b9 zenon_H2c0 zenon_H2c2 zenon_H32b zenon_H32e zenon_H2fd zenon_H2fb zenon_H2f6 zenon_H2f8 zenon_H328 zenon_H325 zenon_H322 zenon_H321 zenon_H301 zenon_H30b zenon_H30e zenon_H313 zenon_H316 zenon_H2ea zenon_H2e2 zenon_H2e6 zenon_H2e7 zenon_H2d9 zenon_H2c9 zenon_H2d1 zenon_H35d zenon_H360 zenon_H345 zenon_H355 zenon_H358 zenon_H36e.
% 54.76/54.93 apply (zenon_or_s _ _ zenon_Haa); [ zenon_intro zenon_Had | zenon_intro zenon_Ha6 ].
% 54.76/54.93 apply (zenon_or_s _ _ zenon_H36e); [ zenon_intro zenon_H244 | zenon_intro zenon_H36f ].
% 54.76/54.93 apply (zenon_L126_); trivial.
% 54.76/54.93 apply (zenon_or_s _ _ zenon_H36f); [ zenon_intro zenon_H371 | zenon_intro zenon_H370 ].
% 54.76/54.93 apply (zenon_and_s _ _ zenon_H371). zenon_intro zenon_H292. zenon_intro zenon_H372.
% 54.76/54.93 apply (zenon_and_s _ _ zenon_H372). zenon_intro zenon_H2a6. zenon_intro zenon_H373.
% 54.76/54.93 apply (zenon_and_s _ _ zenon_H373). zenon_intro zenon_H375. zenon_intro zenon_H374.
% 54.76/54.93 apply (zenon_and_s _ _ zenon_H374). zenon_intro zenon_H29e. zenon_intro zenon_H376.
% 54.76/54.93 apply (zenon_and_s _ _ zenon_H376). zenon_intro zenon_H378. zenon_intro zenon_H377.
% 54.76/54.93 apply (zenon_and_s _ _ zenon_H377). zenon_intro zenon_H37a. zenon_intro zenon_H379.
% 54.76/54.93 apply (zenon_and_s _ _ zenon_H379). zenon_intro zenon_H37c. zenon_intro zenon_H37b.
% 54.76/54.93 apply (zenon_or_s _ _ zenon_H37c); [ zenon_intro zenon_H23f | zenon_intro zenon_H202 ].
% 54.76/54.93 apply (zenon_or_s _ _ zenon_H37b); [ zenon_intro zenon_H20d | zenon_intro zenon_H1c3 ].
% 54.76/54.93 apply (zenon_or_s _ _ zenon_H245); [ zenon_intro zenon_H147 | zenon_intro zenon_H254 ].
% 54.76/54.93 apply (zenon_L60_); trivial.
% 54.76/54.93 apply (zenon_or_s _ _ zenon_H254); [ zenon_intro zenon_H164 | zenon_intro zenon_H255 ].
% 54.76/54.93 apply (zenon_L66_); trivial.
% 54.76/54.93 apply (zenon_or_s _ _ zenon_H255); [ zenon_intro zenon_H197 | zenon_intro zenon_H256 ].
% 54.76/54.93 apply (zenon_L477_); trivial.
% 54.76/54.93 apply (zenon_or_s _ _ zenon_H256); [ zenon_intro zenon_H199 | zenon_intro zenon_H257 ].
% 54.76/54.93 apply (zenon_L77_); trivial.
% 54.76/54.93 apply (zenon_or_s _ _ zenon_H257); [ zenon_intro zenon_H259 | zenon_intro zenon_H258 ].
% 54.76/54.93 apply (zenon_L479_); trivial.
% 54.76/54.93 apply (zenon_or_s _ _ zenon_H258); [ zenon_intro zenon_H1a5 | zenon_intro zenon_H262 ].
% 54.76/54.93 apply (zenon_L80_); trivial.
% 54.76/54.93 apply (zenon_or_s _ _ zenon_H262); [ zenon_intro zenon_H1ae | zenon_intro zenon_H263 ].
% 54.76/54.93 apply (zenon_L83_); trivial.
% 54.76/54.93 apply (zenon_or_s _ _ zenon_H263); [ zenon_intro zenon_H212 | zenon_intro zenon_H264 ].
% 54.76/54.93 apply (zenon_L161_); trivial.
% 54.76/54.93 apply (zenon_or_s _ _ zenon_H264); [ zenon_intro zenon_H220 | zenon_intro zenon_H265 ].
% 54.76/54.93 apply (zenon_L110_); trivial.
% 54.76/54.93 apply (zenon_or_s _ _ zenon_H265); [ zenon_intro zenon_H222 | zenon_intro zenon_H266 ].
% 54.76/54.93 apply (zenon_L111_); trivial.
% 54.76/54.93 apply (zenon_or_s _ _ zenon_H266); [ zenon_intro zenon_H225 | zenon_intro zenon_H267 ].
% 54.76/54.93 apply (zenon_L113_); trivial.
% 54.76/54.93 apply (zenon_or_s _ _ zenon_H267); [ zenon_intro zenon_H22d | zenon_intro zenon_H268 ].
% 54.76/54.93 apply (zenon_L114_); trivial.
% 54.76/54.93 apply (zenon_or_s _ _ zenon_H268); [ zenon_intro zenon_H230 | zenon_intro zenon_H269 ].
% 54.76/54.93 apply (zenon_L115_); trivial.
% 54.76/54.93 apply (zenon_or_s _ _ zenon_H269); [ zenon_intro zenon_H232 | zenon_intro zenon_H26a ].
% 54.76/54.93 apply (zenon_L116_); trivial.
% 54.76/54.93 apply (zenon_or_s _ _ zenon_H26a); [ zenon_intro zenon_H240 | zenon_intro zenon_H242 ].
% 54.76/54.93 apply (zenon_L166_); trivial.
% 54.76/54.93 apply (zenon_L125_); trivial.
% 54.76/54.93 apply (zenon_or_s _ _ zenon_H245); [ zenon_intro zenon_H147 | zenon_intro zenon_H254 ].
% 54.76/54.93 apply (zenon_L60_); trivial.
% 54.76/54.93 apply (zenon_or_s _ _ zenon_H254); [ zenon_intro zenon_H164 | zenon_intro zenon_H255 ].
% 54.76/54.93 apply (zenon_L66_); trivial.
% 54.76/54.93 apply (zenon_or_s _ _ zenon_H255); [ zenon_intro zenon_H197 | zenon_intro zenon_H256 ].
% 54.76/54.93 apply (zenon_L477_); trivial.
% 54.76/54.93 apply (zenon_or_s _ _ zenon_H256); [ zenon_intro zenon_H199 | zenon_intro zenon_H257 ].
% 54.76/54.93 apply (zenon_L77_); trivial.
% 54.76/54.93 apply (zenon_or_s _ _ zenon_H257); [ zenon_intro zenon_H259 | zenon_intro zenon_H258 ].
% 54.76/54.93 apply (zenon_L479_); trivial.
% 54.76/54.93 apply (zenon_or_s _ _ zenon_H258); [ zenon_intro zenon_H1a5 | zenon_intro zenon_H262 ].
% 54.76/54.93 apply (zenon_L80_); trivial.
% 54.76/54.93 apply (zenon_or_s _ _ zenon_H262); [ zenon_intro zenon_H1ae | zenon_intro zenon_H263 ].
% 54.76/54.93 apply (zenon_L83_); trivial.
% 54.76/54.93 apply (zenon_or_s _ _ zenon_H263); [ zenon_intro zenon_H212 | zenon_intro zenon_H264 ].
% 54.76/54.93 apply (zenon_L167_); trivial.
% 54.76/54.93 apply (zenon_or_s _ _ zenon_H264); [ zenon_intro zenon_H220 | zenon_intro zenon_H265 ].
% 54.76/54.93 apply (zenon_L110_); trivial.
% 54.76/54.93 apply (zenon_or_s _ _ zenon_H265); [ zenon_intro zenon_H222 | zenon_intro zenon_H266 ].
% 54.76/54.93 apply (zenon_L111_); trivial.
% 54.76/54.93 apply (zenon_or_s _ _ zenon_H266); [ zenon_intro zenon_H225 | zenon_intro zenon_H267 ].
% 54.76/54.93 apply (zenon_L113_); trivial.
% 54.76/54.93 apply (zenon_or_s _ _ zenon_H267); [ zenon_intro zenon_H22d | zenon_intro zenon_H268 ].
% 54.76/54.93 apply (zenon_L114_); trivial.
% 54.76/54.93 apply (zenon_or_s _ _ zenon_H268); [ zenon_intro zenon_H230 | zenon_intro zenon_H269 ].
% 54.76/54.93 apply (zenon_L115_); trivial.
% 54.76/54.93 apply (zenon_or_s _ _ zenon_H269); [ zenon_intro zenon_H232 | zenon_intro zenon_H26a ].
% 54.76/54.93 apply (zenon_L116_); trivial.
% 54.76/54.93 apply (zenon_or_s _ _ zenon_H26a); [ zenon_intro zenon_H240 | zenon_intro zenon_H242 ].
% 54.76/54.93 apply (zenon_L166_); trivial.
% 54.76/54.93 apply (zenon_L125_); trivial.
% 54.76/54.93 apply (zenon_or_s _ _ zenon_H245); [ zenon_intro zenon_H147 | zenon_intro zenon_H254 ].
% 54.76/54.93 apply (zenon_L60_); trivial.
% 54.76/54.93 apply (zenon_or_s _ _ zenon_H254); [ zenon_intro zenon_H164 | zenon_intro zenon_H255 ].
% 54.76/54.93 apply (zenon_L66_); trivial.
% 54.76/54.93 apply (zenon_or_s _ _ zenon_H255); [ zenon_intro zenon_H197 | zenon_intro zenon_H256 ].
% 54.76/54.93 apply (zenon_L477_); trivial.
% 54.76/54.93 apply (zenon_or_s _ _ zenon_H256); [ zenon_intro zenon_H199 | zenon_intro zenon_H257 ].
% 54.76/54.93 apply (zenon_L77_); trivial.
% 54.76/54.93 apply (zenon_or_s _ _ zenon_H257); [ zenon_intro zenon_H259 | zenon_intro zenon_H258 ].
% 54.76/54.93 apply (zenon_L479_); trivial.
% 54.76/54.93 apply (zenon_or_s _ _ zenon_H258); [ zenon_intro zenon_H1a5 | zenon_intro zenon_H262 ].
% 54.76/54.93 apply (zenon_L80_); trivial.
% 54.76/54.93 apply (zenon_or_s _ _ zenon_H262); [ zenon_intro zenon_H1ae | zenon_intro zenon_H263 ].
% 54.76/54.93 apply (zenon_L83_); trivial.
% 54.76/54.93 apply (zenon_or_s _ _ zenon_H263); [ zenon_intro zenon_H212 | zenon_intro zenon_H264 ].
% 54.76/54.93 apply (zenon_L169_); trivial.
% 54.76/54.93 apply (zenon_or_s _ _ zenon_H264); [ zenon_intro zenon_H220 | zenon_intro zenon_H265 ].
% 54.76/54.93 apply (zenon_L110_); trivial.
% 54.76/54.93 apply (zenon_or_s _ _ zenon_H265); [ zenon_intro zenon_H222 | zenon_intro zenon_H266 ].
% 54.76/54.93 apply (zenon_L111_); trivial.
% 54.76/54.93 apply (zenon_or_s _ _ zenon_H266); [ zenon_intro zenon_H225 | zenon_intro zenon_H267 ].
% 54.76/54.93 apply (zenon_L113_); trivial.
% 54.76/54.93 apply (zenon_or_s _ _ zenon_H267); [ zenon_intro zenon_H22d | zenon_intro zenon_H268 ].
% 54.76/54.93 apply (zenon_L114_); trivial.
% 54.76/54.93 apply (zenon_or_s _ _ zenon_H268); [ zenon_intro zenon_H230 | zenon_intro zenon_H269 ].
% 54.76/54.93 apply (zenon_L115_); trivial.
% 54.76/54.93 apply (zenon_or_s _ _ zenon_H269); [ zenon_intro zenon_H232 | zenon_intro zenon_H26a ].
% 54.76/54.93 apply (zenon_L116_); trivial.
% 54.76/54.93 apply (zenon_or_s _ _ zenon_H26a); [ zenon_intro zenon_H240 | zenon_intro zenon_H242 ].
% 54.76/54.93 apply (zenon_L166_); trivial.
% 54.76/54.93 apply (zenon_L125_); trivial.
% 54.76/54.93 apply (zenon_or_s _ _ zenon_H370); [ zenon_intro zenon_H335 | zenon_intro zenon_H363 ].
% 54.76/54.93 apply (zenon_L260_); trivial.
% 54.76/54.93 apply (zenon_L307_); trivial.
% 54.76/54.93 apply (zenon_L28_); trivial.
% 54.76/54.93 (* end of lemma zenon_L480_ *)
% 54.76/54.93 assert (zenon_L481_ : (((op2 (e21) (e20)) = (e21))/\(((op2 (e20) (e21)) = (e21))/\(((~((op2 (e20) (e20)) = (e20)))\/(~((op2 (e20) (e20)) = (e20))))/\(((~((op2 (e20) (e21)) = (e20)))\/(~((op2 (e20) (e20)) = (e21))))/\(((~((op2 (e20) (e22)) = (e20)))\/(~((op2 (e20) (e20)) = (e22))))/\((~((op2 (e20) (e23)) = (e20)))\/(~((op2 (e20) (e20)) = (e23))))))))) -> ((((op1 (e10) (op1 (e10) (e10))) = (e10))/\(((op1 (e10) (op1 (e10) (e11))) = (e11))/\(((op1 (e10) (op1 (e10) (e12))) = (e12))/\(((op1 (e10) (op1 (e10) (e13))) = (e13))/\(((~((op1 (e10) (e10)) = (e10)))\/((op1 (e10) (e10)) = (e10)))/\(((~((op1 (e11) (e11)) = (e10)))\/((op1 (e11) (e10)) = (e11)))/\(((~((op1 (e12) (e12)) = (e10)))\/((op1 (e12) (e10)) = (e12)))/\((~((op1 (e13) (e13)) = (e10)))\/((op1 (e13) (e10)) = (e13))))))))))\/((((op1 (e11) (op1 (e11) (e10))) = (e10))/\(((op1 (e11) (op1 (e11) (e11))) = (e11))/\(((op1 (e11) (op1 (e11) (e12))) = (e12))/\(((op1 (e11) (op1 (e11) (e13))) = (e13))/\(((~((op1 (e10) (e10)) = (e11)))\/((op1 (e10) (e11)) = (e10)))/\(((~((op1 (e11) (e11)) = (e11)))\/((op1 (e11) (e11)) = (e11)))/\(((~((op1 (e12) (e12)) = (e11)))\/((op1 (e12) (e11)) = (e12)))/\((~((op1 (e13) (e13)) = (e11)))\/((op1 (e13) (e11)) = (e13))))))))))\/((((op1 (e12) (op1 (e12) (e10))) = (e10))/\(((op1 (e12) (op1 (e12) (e11))) = (e11))/\(((op1 (e12) (op1 (e12) (e12))) = (e12))/\(((op1 (e12) (op1 (e12) (e13))) = (e13))/\(((~((op1 (e10) (e10)) = (e12)))\/((op1 (e10) (e12)) = (e10)))/\(((~((op1 (e11) (e11)) = (e12)))\/((op1 (e11) (e12)) = (e11)))/\(((~((op1 (e12) (e12)) = (e12)))\/((op1 (e12) (e12)) = (e12)))/\((~((op1 (e13) (e13)) = (e12)))\/((op1 (e13) (e12)) = (e13))))))))))\/(((op1 (e13) (op1 (e13) (e10))) = (e10))/\(((op1 (e13) (op1 (e13) (e11))) = (e11))/\(((op1 (e13) (op1 (e13) (e12))) = (e12))/\(((op1 (e13) (op1 (e13) (e13))) = (e13))/\(((~((op1 (e10) (e10)) = (e13)))\/((op1 (e10) (e13)) = (e10)))/\(((~((op1 (e11) (e11)) = (e13)))\/((op1 (e11) (e13)) = (e11)))/\(((~((op1 (e12) (e12)) = (e13)))\/((op1 (e12) (e13)) = (e12)))/\((~((op1 (e13) (e13)) = (e13)))\/((op1 (e13) (e13)) = (e13))))))))))))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e12) (e13)) = (e10))))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e12) (e11)) = (e13))))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e20) (e21)) = (e20))\/(((op2 (e20) (e22)) = (e20))\/((op2 (e20) (e23)) = (e20))))) -> ((h2 (e10)) = (op2 (e21) (e21))) -> ((h2 (e12)) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> ((e22) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> (~((h2 (op1 (e10) (e12))) = (op2 (h2 (e10)) (h2 (e12))))) -> ((e20) = (op2 (e21) (e21))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> ((e10) = (op1 (e11) (e11))) -> ((((op1 (e10) (e10)) = (e10))/\(((op1 (e10) (e10)) = (e10))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11))))/\(((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12))))/\((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))))))))\/((((op1 (e10) (e11)) = (e10))/\(((op1 (e11) (e10)) = (e10))/\(((~((op1 (e11) (e10)) = (e11)))\/(~((op1 (e11) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e11) (e12)) = (e11)))\/(~((op1 (e11) (e11)) = (e12))))/\((~((op1 (e11) (e13)) = (e11)))\/(~((op1 (e11) (e11)) = (e13)))))))))\/((((op1 (e10) (e12)) = (e10))/\(((op1 (e12) (e10)) = (e10))/\(((~((op1 (e12) (e10)) = (e12)))\/(~((op1 (e12) (e12)) = (e10))))/\(((~((op1 (e12) (e11)) = (e12)))\/(~((op1 (e12) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13)))))))))\/((((op1 (e10) (e13)) = (e10))/\(((op1 (e13) (e10)) = (e10))/\(((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e13) (e13)) = (e10))))/\(((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11))))/\(((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e13) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13)))))))))\/((((op1 (e11) (e10)) = (e11))/\(((op1 (e10) (e11)) = (e11))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11))))/\(((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12))))/\((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))))))))\/((((op1 (e11) (e11)) = (e11))/\(((op1 (e11) (e11)) = (e11))/\(((~((op1 (e11) (e10)) = (e11)))\/(~((op1 (e11) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e11) (e12)) = (e11)))\/(~((op1 (e11) (e11)) = (e12))))/\((~((op1 (e11) (e13)) = (e11)))\/(~((op1 (e11) (e11)) = (e13)))))))))\/((((op1 (e11) (e12)) = (e11))/\(((op1 (e12) (e11)) = (e11))/\(((~((op1 (e12) (e10)) = (e12)))\/(~((op1 (e12) (e12)) = (e10))))/\(((~((op1 (e12) (e11)) = (e12)))\/(~((op1 (e12) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13)))))))))\/((((op1 (e11) (e13)) = (e11))/\(((op1 (e13) (e11)) = (e11))/\(((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e13) (e13)) = (e10))))/\(((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11))))/\(((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e13) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13)))))))))\/((((op1 (e12) (e10)) = (e12))/\(((op1 (e10) (e12)) = (e12))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11))))/\(((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12))))/\((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))))))))\/((((op1 (e12) (e11)) = (e12))/\(((op1 (e11) (e12)) = (e12))/\(((~((op1 (e11) (e10)) = (e11)))\/(~((op1 (e11) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e11) (e12)) = (e11)))\/(~((op1 (e11) (e11)) = (e12))))/\((~((op1 (e11) (e13)) = (e11)))\/(~((op1 (e11) (e11)) = (e13)))))))))\/((((op1 (e12) (e12)) = (e12))/\(((op1 (e12) (e12)) = (e12))/\(((~((op1 (e12) (e10)) = (e12)))\/(~((op1 (e12) (e12)) = (e10))))/\(((~((op1 (e12) (e11)) = (e12)))\/(~((op1 (e12) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13)))))))))\/((((op1 (e12) (e13)) = (e12))/\(((op1 (e13) (e12)) = (e12))/\(((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e13) (e13)) = (e10))))/\(((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11))))/\(((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e13) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13)))))))))\/((((op1 (e13) (e10)) = (e13))/\(((op1 (e10) (e13)) = (e13))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11))))/\(((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12))))/\((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))))))))\/((((op1 (e13) (e11)) = (e13))/\(((op1 (e11) (e13)) = (e13))/\(((~((op1 (e11) (e10)) = (e11)))\/(~((op1 (e11) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e11) (e12)) = (e11)))\/(~((op1 (e11) (e11)) = (e12))))/\((~((op1 (e11) (e13)) = (e11)))\/(~((op1 (e11) (e11)) = (e13)))))))))\/((((op1 (e13) (e12)) = (e13))/\(((op1 (e12) (e13)) = (e13))/\(((~((op1 (e12) (e10)) = (e12)))\/(~((op1 (e12) (e12)) = (e10))))/\(((~((op1 (e12) (e11)) = (e12)))\/(~((op1 (e12) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13)))))))))\/(((op1 (e13) (e13)) = (e13))/\(((op1 (e13) (e13)) = (e13))/\(((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e13) (e13)) = (e10))))/\(((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11))))/\(((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e13) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13)))))))))))))))))))))))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((e12) = (e13))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e13) (e13)) = (e10))\/(((op1 (e13) (e13)) = (e11))\/(((op1 (e13) (e13)) = (e12))\/((op1 (e13) (e13)) = (e13))))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (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) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e11)) = (e12))\/((op1 (e10) (e11)) = (e13))))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((e10) = (e12))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> ((e12) = (op1 (op1 (op1 (e11) (e11)) (op1 (e11) (e11))) (op1 (e11) (e11)))) -> ((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e12))\/((op1 (e11) (e10)) = (e13))))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e20) (e21)) = (e23))\/(((op2 (e20) (e22)) = (e23))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e22)))) -> ((e23) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> False).
% 54.76/54.93 do 0 intro. intros zenon_Hb6 zenon_H36e zenon_H358 zenon_H355 zenon_H345 zenon_H360 zenon_H35d zenon_H2d1 zenon_H2c9 zenon_H2d9 zenon_H2e7 zenon_H2e6 zenon_H2e2 zenon_H2ea zenon_H316 zenon_H313 zenon_H30e zenon_H30b zenon_H301 zenon_H321 zenon_H322 zenon_H325 zenon_H328 zenon_H2f8 zenon_H2f6 zenon_H2fb zenon_H2fd zenon_H32e zenon_H32b zenon_H2c2 zenon_H2c0 zenon_H2b9 zenon_H2b1 zenon_H2ad zenon_H2a5 zenon_H2a3 zenon_Hac zenon_H26c zenon_H44f zenon_H3f zenon_H452 zenon_H33 zenon_H8d zenon_H13 zenon_H245 zenon_H23b zenon_H236 zenon_H21a zenon_H20c zenon_H1be zenon_H1b1 zenon_H1de zenon_H1cc zenon_H1d8 zenon_H1da zenon_H1e8 zenon_H1ed zenon_H1f4 zenon_H1f7 zenon_H1fa zenon_H1fd zenon_H204 zenon_H206 zenon_H209 zenon_H1a9 zenon_H17 zenon_H1e zenon_H25 zenon_H1a0 zenon_H19d zenon_H246 zenon_H192 zenon_H18e zenon_H18a zenon_H16c zenon_H172 zenon_H179 zenon_H180 zenon_H186 zenon_H14b zenon_H154 zenon_H155 zenon_H15 zenon_H15a zenon_H15f zenon_Ha5 zenon_H9f zenon_H98 zenon_H3b zenon_H93.
% 54.76/54.93 apply (zenon_and_s _ _ zenon_Hb6). zenon_intro zenon_H4e. zenon_intro zenon_Hb8.
% 54.76/54.93 apply (zenon_and_s _ _ zenon_Hb8). zenon_intro zenon_Hb9. zenon_intro zenon_H2e.
% 54.76/54.93 apply (zenon_and_s _ _ zenon_H2e). zenon_intro zenon_H30. zenon_intro zenon_H2f.
% 54.76/54.93 apply (zenon_and_s _ _ zenon_H2f). zenon_intro zenon_Hbb. zenon_intro zenon_Hba.
% 54.76/54.93 apply (zenon_and_s _ _ zenon_Hba). zenon_intro zenon_Hbc. zenon_intro zenon_Haa.
% 54.76/54.93 apply (zenon_or_s _ _ zenon_H30); [ zenon_intro zenon_H31 | zenon_intro zenon_H31 ].
% 54.76/54.93 apply (zenon_L480_); trivial.
% 54.76/54.93 apply (zenon_L480_); trivial.
% 54.76/54.93 (* end of lemma zenon_L481_ *)
% 54.76/54.93 assert (zenon_L482_ : ((op1 (e12) (e11)) = (e12)) -> ((op1 (e12) (e11)) = (e13)) -> (~((e12) = (e13))) -> False).
% 54.76/54.93 do 0 intro. intros zenon_H202 zenon_H2e3 zenon_H236.
% 54.76/54.93 elim (classic ((e13) = (e13))); [ zenon_intro zenon_H237 | zenon_intro zenon_H238 ].
% 54.76/54.93 cut (((e13) = (e13)) = ((e12) = (e13))).
% 54.76/54.93 intro zenon_D_pnotp.
% 54.76/54.93 apply zenon_H236.
% 54.76/54.93 rewrite <- zenon_D_pnotp.
% 54.76/54.93 exact zenon_H237.
% 54.76/54.93 cut (((e13) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H238].
% 54.76/54.93 cut (((e13) = (e12))); [idtac | apply NNPP; zenon_intro zenon_H239].
% 54.76/54.93 congruence.
% 54.76/54.93 cut (((op1 (e12) (e11)) = (e12)) = ((e13) = (e12))).
% 54.76/54.93 intro zenon_D_pnotp.
% 54.76/54.93 apply zenon_H239.
% 54.76/54.93 rewrite <- zenon_D_pnotp.
% 54.76/54.93 exact zenon_H202.
% 54.76/54.93 cut (((e12) = (e12))); [idtac | apply NNPP; zenon_intro zenon_H16e].
% 54.76/54.93 cut (((op1 (e12) (e11)) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H45f].
% 54.76/54.93 congruence.
% 54.76/54.93 exact (zenon_H45f zenon_H2e3).
% 54.76/54.93 apply zenon_H16e. apply refl_equal.
% 54.76/54.93 apply zenon_H238. apply refl_equal.
% 54.76/54.93 apply zenon_H238. apply refl_equal.
% 54.76/54.93 (* end of lemma zenon_L482_ *)
% 54.76/54.93 assert (zenon_L483_ : (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> ((op1 (e11) (op1 (e11) (e13))) = (e13)) -> ((op1 (e11) (e13)) = (e12)) -> ((op1 (e12) (e12)) = (e13)) -> False).
% 54.76/54.93 do 0 intro. intros zenon_H1cc zenon_H29e zenon_H1ec zenon_H1d3.
% 54.76/54.93 cut (((op1 (e11) (op1 (e11) (e13))) = (e13)) = ((op1 (e11) (e12)) = (op1 (e12) (e12)))).
% 54.76/54.93 intro zenon_D_pnotp.
% 54.76/54.93 apply zenon_H1cc.
% 54.76/54.93 rewrite <- zenon_D_pnotp.
% 54.76/54.93 exact zenon_H29e.
% 54.76/54.93 cut (((e13) = (op1 (e12) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H1d4].
% 54.76/54.93 cut (((op1 (e11) (op1 (e11) (e13))) = (op1 (e11) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H2b5].
% 54.76/54.93 congruence.
% 54.76/54.93 elim (classic ((op1 (e11) (e12)) = (op1 (e11) (e12)))); [ zenon_intro zenon_H1aa | zenon_intro zenon_H1ab ].
% 54.76/54.93 cut (((op1 (e11) (e12)) = (op1 (e11) (e12))) = ((op1 (e11) (op1 (e11) (e13))) = (op1 (e11) (e12)))).
% 54.76/54.93 intro zenon_D_pnotp.
% 54.76/54.93 apply zenon_H2b5.
% 54.76/54.93 rewrite <- zenon_D_pnotp.
% 54.76/54.93 exact zenon_H1aa.
% 54.76/54.93 cut (((op1 (e11) (e12)) = (op1 (e11) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H1ab].
% 54.76/54.93 cut (((op1 (e11) (e12)) = (op1 (e11) (op1 (e11) (e13))))); [idtac | apply NNPP; zenon_intro zenon_H2b4].
% 54.76/54.93 congruence.
% 54.76/54.93 apply (zenon_L158_); trivial.
% 54.76/54.93 apply zenon_H1ab. apply refl_equal.
% 54.76/54.93 apply zenon_H1ab. apply refl_equal.
% 54.76/54.93 apply zenon_H1d4. apply sym_equal. exact zenon_H1d3.
% 54.76/54.93 (* end of lemma zenon_L483_ *)
% 54.76/54.93 assert (zenon_L484_ : (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e11) (op1 (e11) (e13))) = (e13)) -> ((op1 (e11) (e13)) = (e13)) -> ((op1 (e13) (e13)) = (e13)) -> False).
% 54.76/54.93 do 0 intro. intros zenon_H360 zenon_H29e zenon_H234 zenon_H1c4.
% 54.76/54.93 cut (((op1 (e11) (op1 (e11) (e13))) = (e13)) = ((op1 (e11) (e13)) = (op1 (e13) (e13)))).
% 54.76/54.93 intro zenon_D_pnotp.
% 54.76/54.93 apply zenon_H360.
% 54.76/54.93 rewrite <- zenon_D_pnotp.
% 54.76/54.93 exact zenon_H29e.
% 54.76/54.93 cut (((e13) = (op1 (e13) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H35c].
% 54.76/54.93 cut (((op1 (e11) (op1 (e11) (e13))) = (op1 (e11) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H2c1].
% 54.76/54.93 congruence.
% 54.76/54.93 elim (classic ((op1 (e11) (e13)) = (op1 (e11) (e13)))); [ zenon_intro zenon_H1ee | zenon_intro zenon_H1ef ].
% 54.76/54.93 cut (((op1 (e11) (e13)) = (op1 (e11) (e13))) = ((op1 (e11) (op1 (e11) (e13))) = (op1 (e11) (e13)))).
% 54.76/54.93 intro zenon_D_pnotp.
% 54.76/54.93 apply zenon_H2c1.
% 54.76/54.93 rewrite <- zenon_D_pnotp.
% 54.76/54.93 exact zenon_H1ee.
% 54.76/54.93 cut (((op1 (e11) (e13)) = (op1 (e11) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H1ef].
% 54.76/54.93 cut (((op1 (e11) (e13)) = (op1 (e11) (op1 (e11) (e13))))); [idtac | apply NNPP; zenon_intro zenon_H2be].
% 54.76/54.93 congruence.
% 54.76/54.93 apply (zenon_L164_); trivial.
% 54.76/54.93 apply zenon_H1ef. apply refl_equal.
% 54.76/54.93 apply zenon_H1ef. apply refl_equal.
% 54.76/54.93 apply zenon_H35c. apply sym_equal. exact zenon_H1c4.
% 54.76/54.93 (* end of lemma zenon_L484_ *)
% 54.76/54.93 assert (zenon_L485_ : (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> ((e12) = (op1 (op1 (op1 (e11) (e11)) (op1 (e11) (e11))) (op1 (e11) (e11)))) -> ((e10) = (op1 (e11) (e11))) -> ((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> ((op1 (e10) (e11)) = (e11)) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> ((op1 (e12) (e12)) = (e13)) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e11) (op1 (e11) (e13))) = (e13)) -> ((op1 (e13) (e13)) = (e13)) -> False).
% 54.76/54.93 do 0 intro. intros zenon_H316 zenon_H301 zenon_H18a zenon_H155 zenon_H13 zenon_H15 zenon_H172 zenon_H1fd zenon_H1fe zenon_H2f8 zenon_H1d3 zenon_H1cc zenon_H360 zenon_H29e zenon_H1c4.
% 54.76/54.93 apply (zenon_or_s _ _ zenon_H316); [ zenon_intro zenon_H300 | zenon_intro zenon_H317 ].
% 54.76/54.93 apply (zenon_L203_); trivial.
% 54.76/54.93 apply (zenon_or_s _ _ zenon_H317); [ zenon_intro zenon_H214 | zenon_intro zenon_H318 ].
% 54.76/54.93 apply (zenon_or_s _ _ zenon_H2f8); [ zenon_intro zenon_H189 | zenon_intro zenon_H2f9 ].
% 54.76/54.93 apply (zenon_L73_); trivial.
% 54.76/54.93 apply (zenon_or_s _ _ zenon_H2f9); [ zenon_intro zenon_H1ff | zenon_intro zenon_H2fa ].
% 54.76/54.93 apply (zenon_L100_); trivial.
% 54.76/54.93 apply (zenon_or_s _ _ zenon_H2fa); [ zenon_intro zenon_H171 | zenon_intro zenon_H1c3 ].
% 54.76/54.93 apply (zenon_L69_); trivial.
% 54.76/54.93 apply (zenon_L149_); trivial.
% 54.76/54.93 apply (zenon_or_s _ _ zenon_H318); [ zenon_intro zenon_H1ec | zenon_intro zenon_H234 ].
% 54.76/54.93 apply (zenon_L483_); trivial.
% 54.76/54.93 apply (zenon_L484_); trivial.
% 54.76/54.93 (* end of lemma zenon_L485_ *)
% 54.76/54.93 assert (zenon_L486_ : (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> ((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) -> ((e10) = (op1 (e11) (e11))) -> ((e12) = (op1 (op1 (op1 (e11) (e11)) (op1 (e11) (e11))) (op1 (e11) (e11)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> ((op1 (e10) (e11)) = (e12)) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e12) (e12)) = (e12))) -> (~((op1 (e12) (e13)) = (e12))) -> False).
% 54.76/54.93 do 0 intro. intros zenon_H23b zenon_H21a zenon_H180 zenon_H15 zenon_H13 zenon_H155 zenon_H179 zenon_H172 zenon_H204 zenon_H1dc zenon_H186 zenon_H1d1 zenon_H27d.
% 54.76/54.93 apply (zenon_or_s _ _ zenon_H23b); [ zenon_intro zenon_H21b | zenon_intro zenon_H23d ].
% 54.76/54.93 apply (zenon_L109_); trivial.
% 54.76/54.93 apply (zenon_or_s _ _ zenon_H23d); [ zenon_intro zenon_H202 | zenon_intro zenon_H23e ].
% 54.76/54.93 apply (zenon_L130_); trivial.
% 54.76/54.93 apply (zenon_or_s _ _ zenon_H23e); [ zenon_intro zenon_H1cb | zenon_intro zenon_H22f ].
% 54.76/54.93 exact (zenon_H1d1 zenon_H1cb).
% 54.76/54.93 exact (zenon_H27d zenon_H22f).
% 54.76/54.93 (* end of lemma zenon_L486_ *)
% 54.76/54.93 assert (zenon_L487_ : (((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e11)) = (e12))\/((op1 (e10) (e11)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> ((op1 (e13) (e13)) = (e13)) -> ((op1 (e11) (op1 (e11) (e13))) = (e13)) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> ((op1 (e12) (e12)) = (e13)) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e12) (e13)) = (e12))) -> (~((op1 (e12) (e12)) = (e12))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> ((e12) = (op1 (op1 (op1 (e11) (e11)) (op1 (e11) (e11))) (op1 (e11) (e11)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> ((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) -> ((e10) = (op1 (e11) (e11))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> False).
% 54.76/54.93 do 0 intro. intros zenon_H206 zenon_H19d zenon_H1c4 zenon_H29e zenon_H360 zenon_H1cc zenon_H1d3 zenon_H2f8 zenon_H1fd zenon_H18a zenon_H301 zenon_H316 zenon_H27d zenon_H1d1 zenon_H186 zenon_H204 zenon_H172 zenon_H179 zenon_H155 zenon_H180 zenon_H21a zenon_H23b zenon_H15 zenon_H13 zenon_H17.
% 54.76/54.93 apply (zenon_or_s _ _ zenon_H206); [ zenon_intro zenon_H166 | zenon_intro zenon_H207 ].
% 54.76/54.93 apply (zenon_L78_); trivial.
% 54.76/54.93 apply (zenon_or_s _ _ zenon_H207); [ zenon_intro zenon_H1fe | zenon_intro zenon_H208 ].
% 54.76/54.93 apply (zenon_L485_); trivial.
% 54.76/54.93 apply (zenon_or_s _ _ zenon_H208); [ zenon_intro zenon_H1dc | zenon_intro zenon_H16 ].
% 54.76/54.93 apply (zenon_L486_); trivial.
% 54.76/54.93 apply (zenon_L2_); trivial.
% 54.76/54.93 (* end of lemma zenon_L487_ *)
% 54.76/54.93 assert (zenon_L488_ : (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> ((op1 (e11) (e11)) = (e13)) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e11)) = (e12))\/((op1 (e10) (e11)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> ((op1 (e11) (op1 (e11) (e13))) = (e13)) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> ((op1 (e12) (e12)) = (e13)) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e12) (e13)) = (e12))) -> (~((op1 (e12) (e12)) = (e12))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> ((e12) = (op1 (op1 (op1 (e11) (e11)) (op1 (e11) (e11))) (op1 (e11) (e11)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> ((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) -> ((e10) = (op1 (e11) (e11))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> False).
% 54.76/54.93 do 0 intro. intros zenon_H32b zenon_H25 zenon_H30e zenon_H2b9 zenon_H2b7 zenon_H206 zenon_H19d zenon_H29e zenon_H360 zenon_H1cc zenon_H1d3 zenon_H2f8 zenon_H1fd zenon_H18a zenon_H301 zenon_H316 zenon_H27d zenon_H1d1 zenon_H186 zenon_H204 zenon_H172 zenon_H179 zenon_H155 zenon_H180 zenon_H21a zenon_H23b zenon_H15 zenon_H13 zenon_H17.
% 54.76/54.93 apply (zenon_or_s _ _ zenon_H32b); [ zenon_intro zenon_H24 | zenon_intro zenon_H32c ].
% 54.76/54.93 apply (zenon_L4_); trivial.
% 54.76/54.93 apply (zenon_or_s _ _ zenon_H32c); [ zenon_intro zenon_H234 | zenon_intro zenon_H32d ].
% 54.76/54.93 apply (zenon_L208_); trivial.
% 54.76/54.93 apply (zenon_or_s _ _ zenon_H32d); [ zenon_intro zenon_H235 | zenon_intro zenon_H1c4 ].
% 54.76/54.93 apply (zenon_L163_); trivial.
% 54.76/54.93 apply (zenon_L487_); trivial.
% 54.76/54.93 (* end of lemma zenon_L488_ *)
% 54.76/54.93 assert (zenon_L489_ : (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((e12) = (e13))) -> ((op1 (e12) (e11)) = (e12)) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> ((e12) = (op1 (op1 (op1 (e11) (e11)) (op1 (e11) (e11))) (op1 (e11) (e11)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e12) (e12)) = (e12))) -> (~((op1 (e12) (e13)) = (e12))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e11) (op1 (e11) (e13))) = (e13)) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e11)) = (e12))\/((op1 (e10) (e11)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> ((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) -> ((op1 (e11) (e11)) = (e13)) -> ((e10) = (op1 (e11) (e11))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> False).
% 54.76/54.93 do 0 intro. intros zenon_H2e7 zenon_H2ad zenon_H236 zenon_H202 zenon_H17 zenon_H23b zenon_H21a zenon_H180 zenon_H155 zenon_H179 zenon_H172 zenon_H204 zenon_H186 zenon_H1d1 zenon_H27d zenon_H316 zenon_H301 zenon_H18a zenon_H1fd zenon_H2f8 zenon_H1cc zenon_H360 zenon_H29e zenon_H19d zenon_H206 zenon_H30e zenon_H25 zenon_H32b zenon_H15 zenon_H2b7 zenon_H13 zenon_H2b9.
% 54.76/54.93 apply (zenon_or_s _ _ zenon_H2e7); [ zenon_intro zenon_H2ac | zenon_intro zenon_H2e8 ].
% 54.76/54.93 apply (zenon_L154_); trivial.
% 54.76/54.93 apply (zenon_or_s _ _ zenon_H2e8); [ zenon_intro zenon_H2e3 | zenon_intro zenon_H2e9 ].
% 54.76/54.93 apply (zenon_L482_); trivial.
% 54.76/54.93 apply (zenon_or_s _ _ zenon_H2e9); [ zenon_intro zenon_H1d3 | zenon_intro zenon_H235 ].
% 54.76/54.93 apply (zenon_L488_); trivial.
% 54.76/54.93 apply (zenon_L163_); trivial.
% 54.76/54.93 (* end of lemma zenon_L489_ *)
% 54.76/54.93 assert (zenon_L490_ : (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> ((e10) = (op1 (e11) (e11))) -> ((op1 (e11) (e11)) = (e13)) -> ((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e11)) = (e12))\/((op1 (e10) (e11)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> ((op1 (e11) (op1 (e11) (e13))) = (e13)) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> ((e12) = (op1 (op1 (op1 (e11) (e11)) (op1 (e11) (e11))) (op1 (e11) (e11)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (~((e12) = (e13))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e12) (e12)) = (e12))) -> (~((op1 (e12) (e13)) = (e12))) -> False).
% 54.76/54.93 do 0 intro. intros zenon_H2b9 zenon_H13 zenon_H2b7 zenon_H15 zenon_H32b zenon_H25 zenon_H30e zenon_H206 zenon_H19d zenon_H29e zenon_H360 zenon_H1cc zenon_H2f8 zenon_H1fd zenon_H18a zenon_H301 zenon_H316 zenon_H186 zenon_H204 zenon_H172 zenon_H179 zenon_H155 zenon_H180 zenon_H21a zenon_H23b zenon_H17 zenon_H236 zenon_H2ad zenon_H2e7 zenon_H1d1 zenon_H27d.
% 54.76/54.93 apply (zenon_or_s _ _ zenon_H23b); [ zenon_intro zenon_H21b | zenon_intro zenon_H23d ].
% 54.76/54.93 apply (zenon_L109_); trivial.
% 54.76/54.93 apply (zenon_or_s _ _ zenon_H23d); [ zenon_intro zenon_H202 | zenon_intro zenon_H23e ].
% 54.76/54.93 apply (zenon_L489_); trivial.
% 54.76/54.93 apply (zenon_or_s _ _ zenon_H23e); [ zenon_intro zenon_H1cb | zenon_intro zenon_H22f ].
% 54.76/54.93 exact (zenon_H1d1 zenon_H1cb).
% 54.76/54.93 exact (zenon_H27d zenon_H22f).
% 54.76/54.93 (* end of lemma zenon_L490_ *)
% 54.76/54.93 assert (zenon_L491_ : (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> ((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) -> ((e10) = (op1 (e11) (e11))) -> ((e12) = (op1 (op1 (op1 (e11) (e11)) (op1 (e11) (e11))) (op1 (e11) (e11)))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (~((e12) = (e13))) -> ((op1 (e12) (e11)) = (e13)) -> (~((op1 (e12) (e12)) = (e12))) -> (~((op1 (e12) (e13)) = (e12))) -> False).
% 54.76/54.93 do 0 intro. intros zenon_H23b zenon_H15 zenon_H13 zenon_H155 zenon_H21a zenon_H236 zenon_H2e3 zenon_H1d1 zenon_H27d.
% 54.76/54.93 apply (zenon_or_s _ _ zenon_H23b); [ zenon_intro zenon_H21b | zenon_intro zenon_H23d ].
% 54.76/54.93 apply (zenon_L109_); trivial.
% 54.76/54.93 apply (zenon_or_s _ _ zenon_H23d); [ zenon_intro zenon_H202 | zenon_intro zenon_H23e ].
% 54.76/54.93 apply (zenon_L482_); trivial.
% 54.76/54.93 apply (zenon_or_s _ _ zenon_H23e); [ zenon_intro zenon_H1cb | zenon_intro zenon_H22f ].
% 54.76/54.93 exact (zenon_H1d1 zenon_H1cb).
% 54.76/54.93 exact (zenon_H27d zenon_H22f).
% 54.76/54.93 (* end of lemma zenon_L491_ *)
% 54.76/54.93 assert (zenon_L492_ : (~((h2 (e13)) = (e23))) -> ((h2 (e13)) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((e23) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> False).
% 54.76/54.93 do 0 intro. intros zenon_H460 zenon_H461 zenon_H3b.
% 54.76/54.93 cut (((h2 (e13)) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) = ((h2 (e13)) = (e23))).
% 54.76/54.93 intro zenon_D_pnotp.
% 54.76/54.93 apply zenon_H460.
% 54.76/54.93 rewrite <- zenon_D_pnotp.
% 54.76/54.93 exact zenon_H461.
% 54.76/54.93 cut (((op2 (op2 (e21) (e21)) (op2 (e21) (e21))) = (e23))); [idtac | apply NNPP; zenon_intro zenon_H3d].
% 54.76/54.93 cut (((h2 (e13)) = (h2 (e13)))); [idtac | apply NNPP; zenon_intro zenon_H462].
% 54.76/54.93 congruence.
% 54.76/54.93 apply zenon_H462. apply refl_equal.
% 54.76/54.93 apply zenon_H3d. apply sym_equal. exact zenon_H3b.
% 54.76/54.93 (* end of lemma zenon_L492_ *)
% 54.76/54.93 assert (zenon_L493_ : (~((h2 (op1 (e10) (e13))) = (op2 (h2 (e10)) (h2 (e13))))) -> ((h2 (e12)) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> ((op1 (e10) (e13)) = (e12)) -> ((op2 (e20) (e23)) = (e22)) -> ((e22) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> ((h2 (e10)) = (op2 (e21) (e21))) -> ((e20) = (op2 (e21) (e21))) -> ((h2 (e13)) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((e23) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> False).
% 54.76/54.93 do 0 intro. intros zenon_H463 zenon_H44f zenon_H31b zenon_H464 zenon_H3f zenon_H26c zenon_H33 zenon_H461 zenon_H3b.
% 54.76/54.93 cut (((h2 (e12)) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) = ((h2 (op1 (e10) (e13))) = (op2 (h2 (e10)) (h2 (e13))))).
% 54.76/54.93 intro zenon_D_pnotp.
% 54.76/54.93 apply zenon_H463.
% 54.76/54.93 rewrite <- zenon_D_pnotp.
% 54.76/54.93 exact zenon_H44f.
% 54.76/54.93 cut (((op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21))) = (op2 (h2 (e10)) (h2 (e13))))); [idtac | apply NNPP; zenon_intro zenon_H465].
% 54.76/54.93 cut (((h2 (e12)) = (h2 (op1 (e10) (e13))))); [idtac | apply NNPP; zenon_intro zenon_H466].
% 54.76/54.93 congruence.
% 54.76/54.93 elim (classic ((h2 (op1 (e10) (e13))) = (h2 (op1 (e10) (e13))))); [ zenon_intro zenon_H467 | zenon_intro zenon_H468 ].
% 54.76/54.93 cut (((h2 (op1 (e10) (e13))) = (h2 (op1 (e10) (e13)))) = ((h2 (e12)) = (h2 (op1 (e10) (e13))))).
% 54.76/54.93 intro zenon_D_pnotp.
% 54.76/54.93 apply zenon_H466.
% 54.76/54.93 rewrite <- zenon_D_pnotp.
% 54.76/54.93 exact zenon_H467.
% 54.76/54.93 cut (((h2 (op1 (e10) (e13))) = (h2 (op1 (e10) (e13))))); [idtac | apply NNPP; zenon_intro zenon_H468].
% 54.76/54.93 cut (((h2 (op1 (e10) (e13))) = (h2 (e12)))); [idtac | apply NNPP; zenon_intro zenon_H469].
% 54.76/54.93 congruence.
% 54.76/54.93 cut (((op1 (e10) (e13)) = (e12))); [idtac | apply NNPP; zenon_intro zenon_H46a].
% 54.76/54.93 congruence.
% 54.76/54.93 exact (zenon_H46a zenon_H31b).
% 54.76/54.93 apply zenon_H468. apply refl_equal.
% 54.76/54.93 apply zenon_H468. apply refl_equal.
% 54.76/54.93 elim (classic ((op2 (h2 (e10)) (h2 (e13))) = (op2 (h2 (e10)) (h2 (e13))))); [ zenon_intro zenon_H46b | zenon_intro zenon_H46c ].
% 54.76/54.93 cut (((op2 (h2 (e10)) (h2 (e13))) = (op2 (h2 (e10)) (h2 (e13)))) = ((op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21))) = (op2 (h2 (e10)) (h2 (e13))))).
% 54.76/54.93 intro zenon_D_pnotp.
% 54.76/54.93 apply zenon_H465.
% 54.76/54.93 rewrite <- zenon_D_pnotp.
% 54.76/54.93 exact zenon_H46b.
% 54.76/54.93 cut (((op2 (h2 (e10)) (h2 (e13))) = (op2 (h2 (e10)) (h2 (e13))))); [idtac | apply NNPP; zenon_intro zenon_H46c].
% 54.76/54.93 cut (((op2 (h2 (e10)) (h2 (e13))) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21))))); [idtac | apply NNPP; zenon_intro zenon_H46d].
% 54.76/54.93 congruence.
% 54.76/54.93 cut (((op2 (e20) (e23)) = (e22)) = ((op2 (h2 (e10)) (h2 (e13))) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21))))).
% 54.76/54.93 intro zenon_D_pnotp.
% 54.76/54.93 apply zenon_H46d.
% 54.76/54.93 rewrite <- zenon_D_pnotp.
% 54.76/54.93 exact zenon_H464.
% 54.76/54.93 cut (((e22) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21))))); [idtac | apply NNPP; zenon_intro zenon_H46e].
% 54.76/54.93 cut (((op2 (e20) (e23)) = (op2 (h2 (e10)) (h2 (e13))))); [idtac | apply NNPP; zenon_intro zenon_H46f].
% 54.76/54.93 congruence.
% 54.76/54.93 elim (classic ((op2 (h2 (e10)) (h2 (e13))) = (op2 (h2 (e10)) (h2 (e13))))); [ zenon_intro zenon_H46b | zenon_intro zenon_H46c ].
% 54.76/54.93 cut (((op2 (h2 (e10)) (h2 (e13))) = (op2 (h2 (e10)) (h2 (e13)))) = ((op2 (e20) (e23)) = (op2 (h2 (e10)) (h2 (e13))))).
% 54.76/54.93 intro zenon_D_pnotp.
% 54.76/54.93 apply zenon_H46f.
% 54.76/54.93 rewrite <- zenon_D_pnotp.
% 54.76/54.93 exact zenon_H46b.
% 54.76/54.93 cut (((op2 (h2 (e10)) (h2 (e13))) = (op2 (h2 (e10)) (h2 (e13))))); [idtac | apply NNPP; zenon_intro zenon_H46c].
% 54.76/54.93 cut (((op2 (h2 (e10)) (h2 (e13))) = (op2 (e20) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H470].
% 54.76/54.93 congruence.
% 54.76/54.93 cut (((h2 (e13)) = (e23))); [idtac | apply NNPP; zenon_intro zenon_H460].
% 54.76/54.93 cut (((h2 (e10)) = (e20))); [idtac | apply NNPP; zenon_intro zenon_H26b].
% 54.76/54.93 congruence.
% 54.76/54.93 apply (zenon_L127_); trivial.
% 54.76/54.93 apply (zenon_L492_); trivial.
% 54.76/54.93 apply zenon_H46c. apply refl_equal.
% 54.76/54.93 apply zenon_H46c. apply refl_equal.
% 54.76/54.93 exact (zenon_H46e zenon_H3f).
% 54.76/54.93 apply zenon_H46c. apply refl_equal.
% 54.76/54.93 apply zenon_H46c. apply refl_equal.
% 54.76/54.93 (* end of lemma zenon_L493_ *)
% 54.76/54.93 assert (zenon_L494_ : (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e12) (e12)) = (e12))) -> (~((e12) = (e13))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> ((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) -> ((e10) = (op1 (e11) (e11))) -> ((e12) = (op1 (op1 (op1 (e11) (e11)) (op1 (e11) (e11))) (op1 (e11) (e11)))) -> (~((op1 (e12) (e13)) = (e12))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((h2 (op1 (e10) (e13))) = (op2 (h2 (e10)) (h2 (e13))))) -> ((h2 (e12)) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> ((op2 (e20) (e23)) = (e22)) -> ((e22) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> ((h2 (e10)) = (op2 (e21) (e21))) -> ((e20) = (op2 (e21) (e21))) -> ((h2 (e13)) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((e23) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> ((op1 (e11) (op1 (e11) (e13))) = (e13)) -> ((op1 (e11) (e13)) = (e13)) -> False).
% 54.76/54.93 do 0 intro. intros zenon_H2e7 zenon_H2ad zenon_H1d1 zenon_H236 zenon_H21a zenon_H23b zenon_H180 zenon_H15 zenon_H13 zenon_H155 zenon_H27d zenon_H1cc zenon_H463 zenon_H44f zenon_H464 zenon_H3f zenon_H26c zenon_H33 zenon_H461 zenon_H3b zenon_H32e zenon_H2c0 zenon_H29e zenon_H234.
% 54.76/54.93 apply (zenon_or_s _ _ zenon_H2e7); [ zenon_intro zenon_H2ac | zenon_intro zenon_H2e8 ].
% 54.76/54.93 apply (zenon_L154_); trivial.
% 54.76/54.93 apply (zenon_or_s _ _ zenon_H2e8); [ zenon_intro zenon_H2e3 | zenon_intro zenon_H2e9 ].
% 54.76/54.93 apply (zenon_L491_); trivial.
% 54.76/54.93 apply (zenon_or_s _ _ zenon_H2e9); [ zenon_intro zenon_H1d3 | zenon_intro zenon_H235 ].
% 54.76/54.93 apply (zenon_or_s _ _ zenon_H32e); [ zenon_intro zenon_H31b | zenon_intro zenon_H32f ].
% 54.76/54.93 apply (zenon_L493_); trivial.
% 54.76/54.93 apply (zenon_or_s _ _ zenon_H32f); [ zenon_intro zenon_H1ec | zenon_intro zenon_H330 ].
% 54.76/54.93 apply (zenon_L483_); trivial.
% 54.76/54.93 apply (zenon_or_s _ _ zenon_H330); [ zenon_intro zenon_H22f | zenon_intro zenon_H17f ].
% 54.76/54.93 exact (zenon_H27d zenon_H22f).
% 54.76/54.93 apply (zenon_L71_); trivial.
% 54.76/54.93 apply (zenon_L165_); trivial.
% 54.76/54.93 (* end of lemma zenon_L494_ *)
% 54.76/54.93 assert (zenon_L495_ : (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e11)) = (e12))\/((op1 (e10) (e11)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> ((op1 (e11) (e11)) = (e12)) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e12) (e12)) = (e12))) -> (~((e12) = (e13))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> ((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) -> ((e10) = (op1 (e11) (e11))) -> ((e12) = (op1 (op1 (op1 (e11) (e11)) (op1 (e11) (e11))) (op1 (e11) (e11)))) -> (~((op1 (e12) (e13)) = (e12))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((h2 (op1 (e10) (e13))) = (op2 (h2 (e10)) (h2 (e13))))) -> ((h2 (e12)) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> ((op2 (e20) (e23)) = (e22)) -> ((e22) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> ((h2 (e10)) = (op2 (e21) (e21))) -> ((e20) = (op2 (e21) (e21))) -> ((h2 (e13)) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((e23) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> ((op1 (e11) (op1 (e11) (e13))) = (e13)) -> False).
% 54.76/54.93 do 0 intro. intros zenon_H2c2 zenon_H15a zenon_H17 zenon_H179 zenon_H172 zenon_H204 zenon_H186 zenon_H316 zenon_H301 zenon_H18a zenon_H1fd zenon_H2f8 zenon_H360 zenon_H19d zenon_H206 zenon_H30e zenon_H25 zenon_H32b zenon_H2b9 zenon_H358 zenon_H1b8 zenon_H2e7 zenon_H2ad zenon_H1d1 zenon_H236 zenon_H21a zenon_H23b zenon_H180 zenon_H15 zenon_H13 zenon_H155 zenon_H27d zenon_H1cc zenon_H463 zenon_H44f zenon_H464 zenon_H3f zenon_H26c zenon_H33 zenon_H461 zenon_H3b zenon_H32e zenon_H2c0 zenon_H29e.
% 54.76/54.93 apply (zenon_or_s _ _ zenon_H2c2); [ zenon_intro zenon_H159 | zenon_intro zenon_H2c3 ].
% 54.76/54.93 apply (zenon_L64_); trivial.
% 54.76/54.93 apply (zenon_or_s _ _ zenon_H2c3); [ zenon_intro zenon_H2b7 | zenon_intro zenon_H2c4 ].
% 54.76/54.93 apply (zenon_L490_); trivial.
% 54.76/54.93 apply (zenon_or_s _ _ zenon_H2c4); [ zenon_intro zenon_H1f3 | zenon_intro zenon_H234 ].
% 54.76/54.93 apply (zenon_L289_); trivial.
% 54.76/54.93 apply (zenon_L494_); trivial.
% 54.76/54.93 (* end of lemma zenon_L495_ *)
% 54.76/54.93 assert (zenon_L496_ : ((op1 (e11) (op1 (e11) (e12))) = (e12)) -> ((op1 (e11) (e12)) = (e13)) -> ((op1 (e10) (e13)) = (e12)) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> False).
% 54.76/54.93 do 0 intro. intros zenon_H375 zenon_H1f3 zenon_H31b zenon_H30e.
% 54.76/54.93 elim (classic ((op1 (e11) (e13)) = (op1 (e11) (e13)))); [ zenon_intro zenon_H1ee | zenon_intro zenon_H1ef ].
% 54.76/54.93 cut (((op1 (e11) (e13)) = (op1 (e11) (e13))) = ((op1 (e10) (e13)) = (op1 (e11) (e13)))).
% 54.76/54.93 intro zenon_D_pnotp.
% 54.76/54.93 apply zenon_H30e.
% 54.76/54.93 rewrite <- zenon_D_pnotp.
% 54.76/54.93 exact zenon_H1ee.
% 54.76/54.93 cut (((op1 (e11) (e13)) = (op1 (e11) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H1ef].
% 54.76/54.93 cut (((op1 (e11) (e13)) = (op1 (e10) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H30f].
% 54.76/54.93 congruence.
% 54.76/54.93 cut (((op1 (e11) (op1 (e11) (e12))) = (e12)) = ((op1 (e11) (e13)) = (op1 (e10) (e13)))).
% 54.76/54.93 intro zenon_D_pnotp.
% 54.76/54.93 apply zenon_H30f.
% 54.76/54.93 rewrite <- zenon_D_pnotp.
% 54.76/54.93 exact zenon_H375.
% 54.76/54.93 cut (((e12) = (op1 (e10) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H31c].
% 54.76/54.93 cut (((op1 (e11) (op1 (e11) (e12))) = (op1 (e11) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H471].
% 54.76/54.93 congruence.
% 54.76/54.93 elim (classic ((op1 (e11) (e13)) = (op1 (e11) (e13)))); [ zenon_intro zenon_H1ee | zenon_intro zenon_H1ef ].
% 54.76/54.93 cut (((op1 (e11) (e13)) = (op1 (e11) (e13))) = ((op1 (e11) (op1 (e11) (e12))) = (op1 (e11) (e13)))).
% 54.76/54.93 intro zenon_D_pnotp.
% 54.76/54.93 apply zenon_H471.
% 54.76/54.93 rewrite <- zenon_D_pnotp.
% 54.76/54.93 exact zenon_H1ee.
% 54.76/54.93 cut (((op1 (e11) (e13)) = (op1 (e11) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H1ef].
% 54.76/54.93 cut (((op1 (e11) (e13)) = (op1 (e11) (op1 (e11) (e12))))); [idtac | apply NNPP; zenon_intro zenon_H472].
% 54.76/54.93 congruence.
% 54.76/54.93 cut (((e13) = (op1 (e11) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H1f6].
% 54.76/54.93 cut (((e11) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H290].
% 54.76/54.93 congruence.
% 54.76/54.93 apply zenon_H290. apply refl_equal.
% 54.76/54.93 apply zenon_H1f6. apply sym_equal. exact zenon_H1f3.
% 54.76/54.93 apply zenon_H1ef. apply refl_equal.
% 54.76/54.93 apply zenon_H1ef. apply refl_equal.
% 54.76/54.93 apply zenon_H31c. apply sym_equal. exact zenon_H31b.
% 54.76/54.93 apply zenon_H1ef. apply refl_equal.
% 54.76/54.93 apply zenon_H1ef. apply refl_equal.
% 54.76/54.93 (* end of lemma zenon_L496_ *)
% 54.76/54.93 assert (zenon_L497_ : (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> ((op1 (e11) (e12)) = (e13)) -> ((op1 (e11) (op1 (e11) (e12))) = (e12)) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> ((op1 (e11) (e12)) = (e12)) -> ((op1 (e13) (e10)) = (e12)) -> (~((op1 (e12) (e13)) = (e12))) -> ((e12) = (op1 (op1 (op1 (e11) (e11)) (op1 (e11) (e11))) (op1 (e11) (e11)))) -> ((e10) = (op1 (e11) (e11))) -> ((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> False).
% 54.76/54.93 do 0 intro. intros zenon_H32e zenon_H30e zenon_H1f3 zenon_H375 zenon_H1ed zenon_H1c6 zenon_H16b zenon_H27d zenon_H155 zenon_H13 zenon_H15 zenon_H180.
% 54.76/54.93 apply (zenon_or_s _ _ zenon_H32e); [ zenon_intro zenon_H31b | zenon_intro zenon_H32f ].
% 54.76/54.93 apply (zenon_L496_); trivial.
% 54.76/54.93 apply (zenon_or_s _ _ zenon_H32f); [ zenon_intro zenon_H1ec | zenon_intro zenon_H330 ].
% 54.76/54.93 apply (zenon_L95_); trivial.
% 54.76/54.93 apply (zenon_or_s _ _ zenon_H330); [ zenon_intro zenon_H22f | zenon_intro zenon_H17f ].
% 54.76/54.93 exact (zenon_H27d zenon_H22f).
% 54.76/54.93 apply (zenon_L71_); trivial.
% 54.76/54.93 (* end of lemma zenon_L497_ *)
% 54.76/54.93 assert (zenon_L498_ : (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e12) (e13)) = (e12))) -> ((op1 (e11) (e12)) = (e12)) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> ((op1 (e11) (op1 (e11) (e12))) = (e12)) -> ((op1 (e11) (e12)) = (e13)) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> ((e12) = (op1 (op1 (op1 (e11) (e11)) (op1 (e11) (e11))) (op1 (e11) (e11)))) -> ((e10) = (op1 (e11) (e11))) -> ((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> False).
% 54.76/54.93 do 0 intro. intros zenon_H186 zenon_H27d zenon_H1c6 zenon_H1ed zenon_H375 zenon_H1f3 zenon_H30e zenon_H32e zenon_H172 zenon_H179 zenon_H155 zenon_H13 zenon_H15 zenon_H180.
% 54.76/54.93 apply (zenon_or_s _ _ zenon_H186); [ zenon_intro zenon_H16b | zenon_intro zenon_H187 ].
% 54.76/54.93 apply (zenon_L497_); trivial.
% 54.76/54.93 apply (zenon_or_s _ _ zenon_H187); [ zenon_intro zenon_H171 | zenon_intro zenon_H188 ].
% 54.76/54.93 apply (zenon_L69_); trivial.
% 54.76/54.93 apply (zenon_or_s _ _ zenon_H188); [ zenon_intro zenon_H178 | zenon_intro zenon_H17f ].
% 54.76/54.93 apply (zenon_L70_); trivial.
% 54.76/54.93 apply (zenon_L71_); trivial.
% 54.76/54.93 (* end of lemma zenon_L498_ *)
% 54.76/54.93 assert (zenon_L499_ : (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((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)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> ((op1 (e11) (op1 (e11) (e12))) = (e12)) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> ((op1 (e11) (e12)) = (e12)) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e12) (e12)) = (e12))) -> (~((e12) = (e13))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> ((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) -> ((e10) = (op1 (e11) (e11))) -> ((e12) = (op1 (op1 (op1 (e11) (e11)) (op1 (e11) (e11))) (op1 (e11) (e11)))) -> (~((op1 (e12) (e13)) = (e12))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((h2 (op1 (e10) (e13))) = (op2 (h2 (e10)) (h2 (e13))))) -> ((h2 (e12)) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> ((op2 (e20) (e23)) = (e22)) -> ((e22) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> ((h2 (e10)) = (op2 (e21) (e21))) -> ((e20) = (op2 (e21) (e21))) -> ((h2 (e13)) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((e23) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> ((op1 (e11) (op1 (e11) (e13))) = (e13)) -> False).
% 54.76/54.93 do 0 intro. intros zenon_H2c2 zenon_H15a zenon_H17 zenon_H204 zenon_H316 zenon_H301 zenon_H18a zenon_H1fd zenon_H2f8 zenon_H360 zenon_H19d zenon_H206 zenon_H25 zenon_H32b zenon_H2b9 zenon_H179 zenon_H172 zenon_H30e zenon_H375 zenon_H1ed zenon_H1c6 zenon_H186 zenon_H2e7 zenon_H2ad zenon_H1d1 zenon_H236 zenon_H21a zenon_H23b zenon_H180 zenon_H15 zenon_H13 zenon_H155 zenon_H27d zenon_H1cc zenon_H463 zenon_H44f zenon_H464 zenon_H3f zenon_H26c zenon_H33 zenon_H461 zenon_H3b zenon_H32e zenon_H2c0 zenon_H29e.
% 54.76/54.93 apply (zenon_or_s _ _ zenon_H2c2); [ zenon_intro zenon_H159 | zenon_intro zenon_H2c3 ].
% 54.76/54.93 apply (zenon_L64_); trivial.
% 54.76/54.93 apply (zenon_or_s _ _ zenon_H2c3); [ zenon_intro zenon_H2b7 | zenon_intro zenon_H2c4 ].
% 54.76/54.93 apply (zenon_L490_); trivial.
% 54.76/54.93 apply (zenon_or_s _ _ zenon_H2c4); [ zenon_intro zenon_H1f3 | zenon_intro zenon_H234 ].
% 54.76/54.93 apply (zenon_L498_); trivial.
% 54.76/54.93 apply (zenon_L494_); trivial.
% 54.76/54.93 (* end of lemma zenon_L499_ *)
% 54.76/54.93 assert (zenon_L500_ : (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> ((op1 (e11) (op1 (e11) (e10))) = (e10)) -> ((op1 (e12) (e10)) = (e10)) -> ((op1 (e11) (e10)) = (e11)) -> ((op1 (e10) (e12)) = (e10)) -> ((e10) = (op1 (e11) (e11))) -> (~((op1 (e12) (e12)) = (e11))) -> (~((op1 (e12) (e12)) = (e12))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> ((op1 (e11) (op1 (e11) (e13))) = (e13)) -> ((op1 (e11) (e13)) = (e12)) -> False).
% 54.76/54.93 do 0 intro. intros zenon_H1da zenon_H1de zenon_H292 zenon_H293 zenon_H163 zenon_H18f zenon_H13 zenon_H23f zenon_H1d1 zenon_H1cc zenon_H29e zenon_H1ec.
% 54.76/54.93 apply (zenon_or_s _ _ zenon_H1da); [ zenon_intro zenon_H1e0 | zenon_intro zenon_H1df ].
% 54.76/54.93 apply (zenon_L143_); trivial.
% 54.76/54.93 apply (zenon_or_s _ _ zenon_H1df); [ zenon_intro zenon_H1e2 | zenon_intro zenon_H1e1 ].
% 54.76/54.93 exact (zenon_H23f zenon_H1e2).
% 54.76/54.93 apply (zenon_or_s _ _ zenon_H1e1); [ zenon_intro zenon_H1cb | zenon_intro zenon_H1d3 ].
% 54.76/54.93 exact (zenon_H1d1 zenon_H1cb).
% 54.76/54.93 apply (zenon_L483_); trivial.
% 54.76/54.93 (* end of lemma zenon_L500_ *)
% 54.76/54.93 assert (zenon_L501_ : (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> ((op1 (e11) (e13)) = (e13)) -> (~((op1 (e12) (e13)) = (e12))) -> (~((op1 (e12) (e12)) = (e12))) -> (~((e12) = (e13))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> ((e12) = (op1 (op1 (op1 (e11) (e11)) (op1 (e11) (e11))) (op1 (e11) (e11)))) -> ((e10) = (op1 (e11) (e11))) -> ((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> ((op1 (e11) (op1 (e11) (e13))) = (e13)) -> ((op1 (e11) (e13)) = (e11)) -> False).
% 54.76/54.93 do 0 intro. intros zenon_H313 zenon_H17 zenon_H30e zenon_H234 zenon_H27d zenon_H1d1 zenon_H236 zenon_H21a zenon_H155 zenon_H13 zenon_H15 zenon_H23b zenon_H18a zenon_H29e zenon_H214.
% 54.76/54.93 apply (zenon_or_s _ _ zenon_H313); [ zenon_intro zenon_H16 | zenon_intro zenon_H314 ].
% 54.76/54.93 apply (zenon_L2_); trivial.
% 54.76/54.93 apply (zenon_or_s _ _ zenon_H314); [ zenon_intro zenon_H2b7 | zenon_intro zenon_H315 ].
% 54.76/54.93 apply (zenon_L208_); trivial.
% 54.76/54.93 apply (zenon_or_s _ _ zenon_H315); [ zenon_intro zenon_H2e3 | zenon_intro zenon_H1c3 ].
% 54.76/54.93 apply (zenon_L491_); trivial.
% 54.76/54.93 apply (zenon_L149_); trivial.
% 54.76/54.93 (* end of lemma zenon_L501_ *)
% 54.76/54.93 assert (zenon_L502_ : (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((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)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> ((op1 (e11) (e11)) = (e12)) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e12) (e13)) = (e12))) -> (~((op1 (e12) (e12)) = (e12))) -> (~((e12) = (e13))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> ((e12) = (op1 (op1 (op1 (e11) (e11)) (op1 (e11) (e11))) (op1 (e11) (e11)))) -> ((e10) = (op1 (e11) (e11))) -> ((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> ((op1 (e11) (op1 (e11) (e13))) = (e13)) -> ((op1 (e11) (e13)) = (e11)) -> False).
% 54.76/54.93 do 0 intro. intros zenon_H2c2 zenon_H15a zenon_H2e7 zenon_H2ad zenon_H180 zenon_H179 zenon_H172 zenon_H204 zenon_H186 zenon_H316 zenon_H301 zenon_H1fd zenon_H2f8 zenon_H1cc zenon_H360 zenon_H19d zenon_H206 zenon_H25 zenon_H32b zenon_H2b9 zenon_H358 zenon_H1b8 zenon_H313 zenon_H17 zenon_H30e zenon_H27d zenon_H1d1 zenon_H236 zenon_H21a zenon_H155 zenon_H13 zenon_H15 zenon_H23b zenon_H18a zenon_H29e zenon_H214.
% 54.76/54.93 apply (zenon_or_s _ _ zenon_H2c2); [ zenon_intro zenon_H159 | zenon_intro zenon_H2c3 ].
% 54.76/54.93 apply (zenon_L64_); trivial.
% 54.76/54.93 apply (zenon_or_s _ _ zenon_H2c3); [ zenon_intro zenon_H2b7 | zenon_intro zenon_H2c4 ].
% 54.76/54.93 apply (zenon_L490_); trivial.
% 54.76/54.93 apply (zenon_or_s _ _ zenon_H2c4); [ zenon_intro zenon_H1f3 | zenon_intro zenon_H234 ].
% 54.76/54.93 apply (zenon_L289_); trivial.
% 54.76/54.93 apply (zenon_L501_); trivial.
% 54.76/54.93 (* end of lemma zenon_L502_ *)
% 54.76/54.93 assert (zenon_L503_ : (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e10) (e10)) = (e13)) -> ((op1 (e13) (e12)) = (e13)) -> ((op1 (e11) (e12)) = (e12)) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e12)) = (e11))) -> ((op1 (e11) (op1 (e11) (e10))) = (e10)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> ((op1 (e11) (op1 (e11) (e11))) = (e11)) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e12))\/((op1 (e11) (e10)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> ((e12) = (op1 (op1 (op1 (e11) (e11)) (op1 (e11) (e11))) (op1 (e11) (e11)))) -> ((e10) = (op1 (e11) (e11))) -> ((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> False).
% 54.76/54.93 do 0 intro. intros zenon_H186 zenon_H15a zenon_H154 zenon_H2b1 zenon_H1d8 zenon_H1a3 zenon_H1ba zenon_H1c6 zenon_H1cc zenon_H23f zenon_H292 zenon_H2a3 zenon_H1da zenon_H2a6 zenon_H2a5 zenon_H21a zenon_H2ad zenon_H14b zenon_H15f zenon_H172 zenon_H179 zenon_H155 zenon_H13 zenon_H15 zenon_H180.
% 54.76/54.93 apply (zenon_or_s _ _ zenon_H186); [ zenon_intro zenon_H16b | zenon_intro zenon_H187 ].
% 54.76/54.93 apply (zenon_L155_); trivial.
% 54.76/54.93 apply (zenon_or_s _ _ zenon_H187); [ zenon_intro zenon_H171 | zenon_intro zenon_H188 ].
% 54.76/54.93 apply (zenon_L69_); trivial.
% 54.76/54.93 apply (zenon_or_s _ _ zenon_H188); [ zenon_intro zenon_H178 | zenon_intro zenon_H17f ].
% 54.76/54.93 apply (zenon_L70_); trivial.
% 54.76/54.93 apply (zenon_L71_); trivial.
% 54.76/54.93 (* end of lemma zenon_L503_ *)
% 54.76/54.93 assert (zenon_L504_ : (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((e12) = (e13))) -> ((op1 (e12) (e11)) = (e12)) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> ((e12) = (op1 (op1 (op1 (e11) (e11)) (op1 (e11) (e11))) (op1 (e11) (e11)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e12) (e12)) = (e12))) -> (~((op1 (e12) (e13)) = (e12))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e11) (op1 (e11) (e13))) = (e13)) -> (~((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)) = (op1 (e11) (e10)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e10) (e10)) = (e13)) -> ((op1 (e11) (e12)) = (e12)) -> (~((op1 (e12) (e12)) = (e11))) -> ((op1 (e11) (op1 (e11) (e10))) = (e10)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> ((op1 (e11) (op1 (e11) (e11))) = (e11)) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e12))\/((op1 (e11) (e10)) = (e13))))) -> ((op1 (e11) (e13)) = (e11)) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> ((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) -> ((op1 (e11) (e11)) = (e13)) -> ((e10) = (op1 (e11) (e11))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> False).
% 54.76/54.93 do 0 intro. intros zenon_H2e7 zenon_H236 zenon_H202 zenon_H17 zenon_H23b zenon_H21a zenon_H180 zenon_H155 zenon_H179 zenon_H172 zenon_H204 zenon_H186 zenon_H1d1 zenon_H27d zenon_H316 zenon_H301 zenon_H18a zenon_H1fd zenon_H2f8 zenon_H1cc zenon_H360 zenon_H29e zenon_H19d zenon_H206 zenon_H15a zenon_H154 zenon_H2b1 zenon_H1d8 zenon_H1a3 zenon_H1c6 zenon_H23f zenon_H292 zenon_H2a3 zenon_H1da zenon_H2a6 zenon_H2a5 zenon_H2ad zenon_H14b zenon_H15f zenon_H214 zenon_H1b1 zenon_H1be zenon_H15 zenon_H2b7 zenon_H13 zenon_H2b9.
% 54.76/54.93 apply (zenon_or_s _ _ zenon_H2e7); [ zenon_intro zenon_H2ac | zenon_intro zenon_H2e8 ].
% 54.76/54.93 apply (zenon_L154_); trivial.
% 54.76/54.93 apply (zenon_or_s _ _ zenon_H2e8); [ zenon_intro zenon_H2e3 | zenon_intro zenon_H2e9 ].
% 54.76/54.93 apply (zenon_L482_); trivial.
% 54.76/54.93 apply (zenon_or_s _ _ zenon_H2e9); [ zenon_intro zenon_H1d3 | zenon_intro zenon_H235 ].
% 54.76/54.93 apply (zenon_or_s _ _ zenon_H1be); [ zenon_intro zenon_H1b0 | zenon_intro zenon_H1c1 ].
% 54.76/54.93 apply (zenon_L84_); trivial.
% 54.76/54.93 apply (zenon_or_s _ _ zenon_H1c1); [ zenon_intro zenon_H1c3 | zenon_intro zenon_H1c2 ].
% 54.76/54.93 apply (zenon_L149_); trivial.
% 54.76/54.93 apply (zenon_or_s _ _ zenon_H1c2); [ zenon_intro zenon_H1ba | zenon_intro zenon_H1c4 ].
% 54.76/54.93 apply (zenon_L503_); trivial.
% 54.76/54.93 apply (zenon_L487_); trivial.
% 54.76/54.93 apply (zenon_L163_); trivial.
% 54.76/54.93 (* end of lemma zenon_L504_ *)
% 54.76/54.93 assert (zenon_L505_ : (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> ((e10) = (op1 (e11) (e11))) -> ((op1 (e11) (e11)) = (e13)) -> ((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> ((op1 (e11) (e13)) = (e11)) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e12))\/((op1 (e11) (e10)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> ((op1 (e11) (op1 (e11) (e11))) = (e11)) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> ((op1 (e11) (op1 (e11) (e10))) = (e10)) -> (~((op1 (e12) (e12)) = (e11))) -> ((op1 (e11) (e12)) = (e12)) -> ((op1 (e10) (e10)) = (e13)) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e11)) = (e12))\/((op1 (e10) (e11)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> ((op1 (e11) (op1 (e11) (e13))) = (e13)) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> ((e12) = (op1 (op1 (op1 (e11) (e11)) (op1 (e11) (e11))) (op1 (e11) (e11)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (~((e12) = (e13))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e12) (e12)) = (e12))) -> (~((op1 (e12) (e13)) = (e12))) -> False).
% 54.76/54.93 do 0 intro. intros zenon_H2b9 zenon_H13 zenon_H2b7 zenon_H15 zenon_H1be zenon_H1b1 zenon_H214 zenon_H15f zenon_H14b zenon_H2ad zenon_H2a5 zenon_H2a6 zenon_H1da zenon_H2a3 zenon_H292 zenon_H23f zenon_H1c6 zenon_H1a3 zenon_H1d8 zenon_H2b1 zenon_H154 zenon_H15a zenon_H206 zenon_H19d zenon_H29e zenon_H360 zenon_H1cc zenon_H2f8 zenon_H1fd zenon_H18a zenon_H301 zenon_H316 zenon_H186 zenon_H204 zenon_H172 zenon_H179 zenon_H155 zenon_H180 zenon_H21a zenon_H23b zenon_H17 zenon_H236 zenon_H2e7 zenon_H1d1 zenon_H27d.
% 54.76/54.93 apply (zenon_or_s _ _ zenon_H23b); [ zenon_intro zenon_H21b | zenon_intro zenon_H23d ].
% 54.76/54.93 apply (zenon_L109_); trivial.
% 54.76/54.93 apply (zenon_or_s _ _ zenon_H23d); [ zenon_intro zenon_H202 | zenon_intro zenon_H23e ].
% 54.76/54.93 apply (zenon_L504_); trivial.
% 54.76/54.93 apply (zenon_or_s _ _ zenon_H23e); [ zenon_intro zenon_H1cb | zenon_intro zenon_H22f ].
% 54.76/54.93 exact (zenon_H1d1 zenon_H1cb).
% 54.76/54.93 exact (zenon_H27d zenon_H22f).
% 54.76/54.93 (* end of lemma zenon_L505_ *)
% 54.76/54.93 assert (zenon_L506_ : (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((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)) = (op1 (e11) (e10)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e10) (e10)) = (e13)) -> (~((op1 (e12) (e12)) = (e11))) -> ((op1 (e11) (op1 (e11) (e10))) = (e10)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> ((op1 (e11) (op1 (e11) (e11))) = (e11)) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e12))\/((op1 (e11) (e10)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> ((op1 (e11) (op1 (e11) (e12))) = (e12)) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> ((op1 (e11) (e12)) = (e12)) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e12) (e13)) = (e12))) -> (~((op1 (e12) (e12)) = (e12))) -> (~((e12) = (e13))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> ((e12) = (op1 (op1 (op1 (e11) (e11)) (op1 (e11) (e11))) (op1 (e11) (e11)))) -> ((e10) = (op1 (e11) (e11))) -> ((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> ((op1 (e11) (op1 (e11) (e13))) = (e13)) -> ((op1 (e11) (e13)) = (e11)) -> False).
% 54.76/54.93 do 0 intro. intros zenon_H2c2 zenon_H2e7 zenon_H204 zenon_H316 zenon_H301 zenon_H1fd zenon_H2f8 zenon_H1cc zenon_H360 zenon_H19d zenon_H206 zenon_H15a zenon_H154 zenon_H2b1 zenon_H1d8 zenon_H1a3 zenon_H23f zenon_H292 zenon_H2a3 zenon_H1da zenon_H2a6 zenon_H2a5 zenon_H2ad zenon_H14b zenon_H15f zenon_H1b1 zenon_H1be zenon_H2b9 zenon_H180 zenon_H179 zenon_H172 zenon_H32e zenon_H375 zenon_H1ed zenon_H1c6 zenon_H186 zenon_H313 zenon_H17 zenon_H30e zenon_H27d zenon_H1d1 zenon_H236 zenon_H21a zenon_H155 zenon_H13 zenon_H15 zenon_H23b zenon_H18a zenon_H29e zenon_H214.
% 54.76/54.93 apply (zenon_or_s _ _ zenon_H2c2); [ zenon_intro zenon_H159 | zenon_intro zenon_H2c3 ].
% 54.76/54.93 apply (zenon_L64_); trivial.
% 54.76/54.93 apply (zenon_or_s _ _ zenon_H2c3); [ zenon_intro zenon_H2b7 | zenon_intro zenon_H2c4 ].
% 54.76/54.93 apply (zenon_L505_); trivial.
% 54.76/54.93 apply (zenon_or_s _ _ zenon_H2c4); [ zenon_intro zenon_H1f3 | zenon_intro zenon_H234 ].
% 54.76/54.93 apply (zenon_L498_); trivial.
% 54.76/54.93 apply (zenon_L501_); trivial.
% 54.76/54.93 (* end of lemma zenon_L506_ *)
% 54.76/54.93 assert (zenon_L507_ : (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((e12) = (e13))) -> ((op1 (e12) (e11)) = (e12)) -> ((op1 (e11) (e13)) = (e12)) -> ((op1 (e11) (op1 (e11) (e13))) = (e13)) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> ((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) -> ((op1 (e11) (e11)) = (e13)) -> ((e10) = (op1 (e11) (e11))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> False).
% 54.76/54.93 do 0 intro. intros zenon_H2e7 zenon_H2ad zenon_H236 zenon_H202 zenon_H1ec zenon_H29e zenon_H1cc zenon_H15 zenon_H2b7 zenon_H13 zenon_H2b9.
% 54.76/54.93 apply (zenon_or_s _ _ zenon_H2e7); [ zenon_intro zenon_H2ac | zenon_intro zenon_H2e8 ].
% 54.76/54.93 apply (zenon_L154_); trivial.
% 54.76/54.93 apply (zenon_or_s _ _ zenon_H2e8); [ zenon_intro zenon_H2e3 | zenon_intro zenon_H2e9 ].
% 54.76/54.93 apply (zenon_L482_); trivial.
% 54.76/54.93 apply (zenon_or_s _ _ zenon_H2e9); [ zenon_intro zenon_H1d3 | zenon_intro zenon_H235 ].
% 54.76/54.93 apply (zenon_L483_); trivial.
% 54.76/54.93 apply (zenon_L163_); trivial.
% 54.76/54.93 (* end of lemma zenon_L507_ *)
% 54.76/54.93 assert (zenon_L508_ : (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> ((e10) = (op1 (e11) (e11))) -> ((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> ((op1 (e11) (e13)) = (e12)) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((e12) = (e13))) -> ((op1 (e12) (e11)) = (e12)) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> ((op1 (e11) (op1 (e11) (e13))) = (e13)) -> ((op1 (e11) (e13)) = (e11)) -> False).
% 54.76/54.93 do 0 intro. intros zenon_H313 zenon_H17 zenon_H2b9 zenon_H13 zenon_H15 zenon_H1cc zenon_H1ec zenon_H2ad zenon_H2e7 zenon_H236 zenon_H202 zenon_H18a zenon_H29e zenon_H214.
% 54.76/54.93 apply (zenon_or_s _ _ zenon_H313); [ zenon_intro zenon_H16 | zenon_intro zenon_H314 ].
% 54.76/54.93 apply (zenon_L2_); trivial.
% 54.76/54.93 apply (zenon_or_s _ _ zenon_H314); [ zenon_intro zenon_H2b7 | zenon_intro zenon_H315 ].
% 54.76/54.93 apply (zenon_L507_); trivial.
% 54.76/54.93 apply (zenon_or_s _ _ zenon_H315); [ zenon_intro zenon_H2e3 | zenon_intro zenon_H1c3 ].
% 54.76/54.93 apply (zenon_L482_); trivial.
% 54.76/54.93 apply (zenon_L149_); trivial.
% 54.76/54.93 (* end of lemma zenon_L508_ *)
% 54.76/54.93 assert (zenon_L509_ : (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> ((op1 (e11) (op1 (e11) (e12))) = (e12)) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e12))\/((op1 (e11) (e10)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> ((op1 (e11) (op1 (e11) (e11))) = (e11)) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> ((op1 (e11) (op1 (e11) (e10))) = (e10)) -> (~((op1 (e12) (e12)) = (e11))) -> ((op1 (e10) (e10)) = (e13)) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e12) (e12)) = (e12))) -> (~((op1 (e12) (e13)) = (e12))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e11)) = (e12))\/((op1 (e10) (e11)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> ((op1 (e11) (e13)) = (e11)) -> ((op1 (e11) (op1 (e11) (e13))) = (e13)) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((e12) = (e13))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> ((e12) = (op1 (op1 (op1 (e11) (e11)) (op1 (e11) (e11))) (op1 (e11) (e11)))) -> ((e10) = (op1 (e11) (e11))) -> ((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> False).
% 54.76/54.93 do 0 intro. intros zenon_H1fa zenon_H1ed zenon_H375 zenon_H32e zenon_H1be zenon_H1b1 zenon_H15f zenon_H14b zenon_H2a5 zenon_H2a6 zenon_H1da zenon_H2a3 zenon_H292 zenon_H23f zenon_H1a3 zenon_H1d8 zenon_H2b1 zenon_H154 zenon_H209 zenon_H23b zenon_H21a zenon_H1d1 zenon_H27d zenon_H30e zenon_H358 zenon_H32b zenon_H25 zenon_H206 zenon_H19d zenon_H360 zenon_H2f8 zenon_H1fd zenon_H301 zenon_H316 zenon_H186 zenon_H204 zenon_H179 zenon_H180 zenon_H15a zenon_H2c2 zenon_H214 zenon_H29e zenon_H18a zenon_H236 zenon_H2e7 zenon_H2ad zenon_H1cc zenon_H2b9 zenon_H17 zenon_H313 zenon_H155 zenon_H13 zenon_H15 zenon_H172.
% 54.76/54.93 apply (zenon_or_s _ _ zenon_H1fa); [ zenon_intro zenon_H156 | zenon_intro zenon_H1fb ].
% 54.76/54.93 apply (zenon_L63_); trivial.
% 54.76/54.93 apply (zenon_or_s _ _ zenon_H1fb); [ zenon_intro zenon_H1b8 | zenon_intro zenon_H1fc ].
% 54.76/54.93 apply (zenon_L502_); trivial.
% 54.76/54.93 apply (zenon_or_s _ _ zenon_H1fc); [ zenon_intro zenon_H1c6 | zenon_intro zenon_H1ec ].
% 54.76/54.93 apply (zenon_L506_); trivial.
% 54.76/54.93 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H1dc | zenon_intro zenon_H20a ].
% 54.76/54.93 apply (zenon_L486_); trivial.
% 54.76/54.93 apply (zenon_or_s _ _ zenon_H20a); [ zenon_intro zenon_H1b8 | zenon_intro zenon_H20b ].
% 54.76/54.93 apply (zenon_L502_); trivial.
% 54.76/54.93 apply (zenon_or_s _ _ zenon_H20b); [ zenon_intro zenon_H202 | zenon_intro zenon_H171 ].
% 54.76/54.93 apply (zenon_L508_); trivial.
% 54.76/54.93 apply (zenon_L69_); trivial.
% 54.76/54.93 (* end of lemma zenon_L509_ *)
% 54.76/54.93 assert (zenon_L510_ : (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> ((e12) = (op1 (op1 (op1 (e11) (e11)) (op1 (e11) (e11))) (op1 (e11) (e11)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((e12) = (e13))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> ((op1 (e11) (op1 (e11) (e13))) = (e13)) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e11)) = (e12))\/((op1 (e10) (e11)) = (e13))))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e12) (e13)) = (e12))) -> (~((op1 (e12) (e12)) = (e12))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e12)) = (e11))) -> ((op1 (e11) (op1 (e11) (e10))) = (e10)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> ((op1 (e11) (op1 (e11) (e11))) = (e11)) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e12))\/((op1 (e11) (e10)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> ((op1 (e11) (op1 (e11) (e12))) = (e12)) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e11)) = (e11))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> ((e23) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((h2 (e13)) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((e20) = (op2 (e21) (e21))) -> ((h2 (e10)) = (op2 (e21) (e21))) -> ((e22) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> ((op2 (e20) (e23)) = (e22)) -> ((h2 (e12)) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> (~((h2 (op1 (e10) (e13))) = (op2 (h2 (e10)) (h2 (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> ((op1 (e12) (e10)) = (e10)) -> ((op1 (e10) (e12)) = (e10)) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> ((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) -> ((e10) = (op1 (e11) (e11))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> False).
% 54.76/54.93 do 0 intro. intros zenon_H1a0 zenon_H172 zenon_H155 zenon_H313 zenon_H2b9 zenon_H1cc zenon_H2ad zenon_H2e7 zenon_H236 zenon_H18a zenon_H29e zenon_H2c2 zenon_H15a zenon_H180 zenon_H179 zenon_H204 zenon_H186 zenon_H316 zenon_H301 zenon_H1fd zenon_H2f8 zenon_H360 zenon_H19d zenon_H206 zenon_H32b zenon_H358 zenon_H30e zenon_H27d zenon_H1d1 zenon_H21a zenon_H23b zenon_H209 zenon_H154 zenon_H2b1 zenon_H1d8 zenon_H23f zenon_H292 zenon_H2a3 zenon_H1da zenon_H2a6 zenon_H2a5 zenon_H14b zenon_H15f zenon_H1b1 zenon_H1be zenon_H32e zenon_H375 zenon_H1ed zenon_H1fa zenon_H1a9 zenon_H473 zenon_H2c0 zenon_H3b zenon_H461 zenon_H33 zenon_H26c zenon_H3f zenon_H464 zenon_H44f zenon_H463 zenon_H1de zenon_H293 zenon_H18f zenon_H474 zenon_H17 zenon_H1e zenon_H15 zenon_H13 zenon_H25.
% 54.76/54.93 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_H1a3 | zenon_intro zenon_H1a2 ].
% 54.76/54.93 apply (zenon_or_s _ _ zenon_H474); [ zenon_intro zenon_H163 | zenon_intro zenon_H475 ].
% 54.76/54.93 apply (zenon_or_s _ _ zenon_H1fa); [ zenon_intro zenon_H156 | zenon_intro zenon_H1fb ].
% 54.76/54.94 apply (zenon_L63_); trivial.
% 54.76/54.94 apply (zenon_or_s _ _ zenon_H1fb); [ zenon_intro zenon_H1b8 | zenon_intro zenon_H1fc ].
% 54.76/54.94 apply (zenon_L495_); trivial.
% 54.76/54.94 apply (zenon_or_s _ _ zenon_H1fc); [ zenon_intro zenon_H1c6 | zenon_intro zenon_H1ec ].
% 54.76/54.94 apply (zenon_L499_); trivial.
% 54.76/54.94 apply (zenon_L500_); trivial.
% 54.76/54.94 apply (zenon_or_s _ _ zenon_H475); [ zenon_intro zenon_H1a7 | zenon_intro zenon_H476 ].
% 54.76/54.94 exact (zenon_H473 zenon_H1a7).
% 54.76/54.94 apply (zenon_or_s _ _ zenon_H476); [ zenon_intro zenon_H1a8 | zenon_intro zenon_H214 ].
% 54.76/54.94 apply (zenon_L82_); trivial.
% 54.76/54.94 apply (zenon_L509_); trivial.
% 54.76/54.94 apply (zenon_or_s _ _ zenon_H1a2); [ zenon_intro zenon_H16 | zenon_intro zenon_H1a4 ].
% 54.76/54.94 apply (zenon_L2_); trivial.
% 54.76/54.94 apply (zenon_or_s _ _ zenon_H1a4); [ zenon_intro zenon_H1d | zenon_intro zenon_H24 ].
% 54.76/54.94 apply (zenon_L3_); trivial.
% 54.76/54.94 apply (zenon_L4_); trivial.
% 54.76/54.94 (* end of lemma zenon_L510_ *)
% 54.76/54.94 assert (zenon_L511_ : (~((op2 (e21) (e22)) = (op2 (e21) (op2 (e21) (e23))))) -> ((op2 (e21) (e23)) = (e22)) -> False).
% 54.76/54.94 do 0 intro. intros zenon_H477 zenon_H478.
% 54.76/54.94 cut (((e22) = (op2 (e21) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H479].
% 54.76/54.94 cut (((e21) = (e21))); [idtac | apply NNPP; zenon_intro zenon_H26e].
% 54.76/54.94 congruence.
% 54.76/54.94 apply zenon_H26e. apply refl_equal.
% 54.76/54.94 apply zenon_H479. apply sym_equal. exact zenon_H478.
% 54.76/54.94 (* end of lemma zenon_L511_ *)
% 54.76/54.94 assert (zenon_L512_ : (~((op2 (e21) (e22)) = (op2 (e21) (e23)))) -> ((op2 (e21) (op2 (e21) (e23))) = (e23)) -> ((op2 (e21) (e23)) = (e22)) -> ((op2 (e21) (e23)) = (e23)) -> False).
% 54.76/54.94 do 0 intro. intros zenon_H47a zenon_H395 zenon_H478 zenon_He9.
% 54.76/54.94 cut (((op2 (e21) (op2 (e21) (e23))) = (e23)) = ((op2 (e21) (e22)) = (op2 (e21) (e23)))).
% 54.76/54.94 intro zenon_D_pnotp.
% 54.76/54.94 apply zenon_H47a.
% 54.76/54.94 rewrite <- zenon_D_pnotp.
% 54.76/54.94 exact zenon_H395.
% 54.76/54.94 cut (((e23) = (op2 (e21) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H393].
% 54.76/54.94 cut (((op2 (e21) (op2 (e21) (e23))) = (op2 (e21) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H47b].
% 54.76/54.94 congruence.
% 54.76/54.94 elim (classic ((op2 (e21) (e22)) = (op2 (e21) (e22)))); [ zenon_intro zenon_H7b | zenon_intro zenon_H7c ].
% 54.76/54.94 cut (((op2 (e21) (e22)) = (op2 (e21) (e22))) = ((op2 (e21) (op2 (e21) (e23))) = (op2 (e21) (e22)))).
% 54.76/54.94 intro zenon_D_pnotp.
% 54.76/54.94 apply zenon_H47b.
% 54.76/54.94 rewrite <- zenon_D_pnotp.
% 54.76/54.94 exact zenon_H7b.
% 54.76/54.94 cut (((op2 (e21) (e22)) = (op2 (e21) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H7c].
% 54.76/54.94 cut (((op2 (e21) (e22)) = (op2 (e21) (op2 (e21) (e23))))); [idtac | apply NNPP; zenon_intro zenon_H477].
% 54.76/54.94 congruence.
% 54.76/54.94 apply (zenon_L511_); trivial.
% 54.76/54.94 apply zenon_H7c. apply refl_equal.
% 54.76/54.94 apply zenon_H7c. apply refl_equal.
% 54.76/54.94 apply zenon_H393. apply sym_equal. exact zenon_He9.
% 54.76/54.94 (* end of lemma zenon_L512_ *)
% 54.76/54.94 assert (zenon_L513_ : ((e23) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((op2 (e22) (e23)) = (e23)) -> ((op2 (e20) (e20)) = (e23)) -> ((op2 (e22) (e22)) = (e23)) -> ((e20) = (op2 (e21) (e21))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> False).
% 54.76/54.94 do 0 intro. intros zenon_H3b zenon_Heb zenon_Ha8 zenon_Hf6 zenon_H33 zenon_H47c.
% 54.76/54.94 elim (classic ((op2 (e22) (e23)) = (op2 (e22) (e23)))); [ zenon_intro zenon_H38a | zenon_intro zenon_H38b ].
% 54.76/54.94 cut (((op2 (e22) (e23)) = (op2 (e22) (e23))) = ((op2 (e22) (e22)) = (op2 (e22) (e23)))).
% 54.76/54.94 intro zenon_D_pnotp.
% 54.76/54.94 apply zenon_H47c.
% 54.76/54.94 rewrite <- zenon_D_pnotp.
% 54.76/54.94 exact zenon_H38a.
% 54.76/54.94 cut (((op2 (e22) (e23)) = (op2 (e22) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H38b].
% 54.76/54.94 cut (((op2 (e22) (e23)) = (op2 (e22) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H47d].
% 54.76/54.94 congruence.
% 54.76/54.94 cut (((e23) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) = ((op2 (e22) (e23)) = (op2 (e22) (e22)))).
% 54.76/54.94 intro zenon_D_pnotp.
% 54.76/54.94 apply zenon_H47d.
% 54.76/54.94 rewrite <- zenon_D_pnotp.
% 54.76/54.94 exact zenon_H3b.
% 54.76/54.94 cut (((op2 (op2 (e21) (e21)) (op2 (e21) (e21))) = (op2 (e22) (e22)))); [idtac | apply NNPP; zenon_intro zenon_Hf5].
% 54.76/54.94 cut (((e23) = (op2 (e22) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H38d].
% 54.76/54.94 congruence.
% 54.76/54.94 elim (classic ((op2 (e22) (e23)) = (op2 (e22) (e23)))); [ zenon_intro zenon_H38a | zenon_intro zenon_H38b ].
% 54.76/54.94 cut (((op2 (e22) (e23)) = (op2 (e22) (e23))) = ((e23) = (op2 (e22) (e23)))).
% 54.76/54.94 intro zenon_D_pnotp.
% 54.76/54.94 apply zenon_H38d.
% 54.76/54.94 rewrite <- zenon_D_pnotp.
% 54.76/54.94 exact zenon_H38a.
% 54.76/54.94 cut (((op2 (e22) (e23)) = (op2 (e22) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H38b].
% 54.76/54.94 cut (((op2 (e22) (e23)) = (e23))); [idtac | apply NNPP; zenon_intro zenon_Hf0].
% 54.76/54.94 congruence.
% 54.76/54.94 exact (zenon_Hf0 zenon_Heb).
% 54.76/54.94 apply zenon_H38b. apply refl_equal.
% 54.76/54.94 apply zenon_H38b. apply refl_equal.
% 54.76/54.94 apply (zenon_L49_); trivial.
% 54.76/54.94 apply zenon_H38b. apply refl_equal.
% 54.76/54.94 apply zenon_H38b. apply refl_equal.
% 54.76/54.94 (* end of lemma zenon_L513_ *)
% 54.76/54.94 assert (zenon_L514_ : (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> ((op2 (e21) (e23)) = (e22)) -> ((op2 (e21) (op2 (e21) (e23))) = (e23)) -> (~((op2 (e21) (e22)) = (op2 (e21) (e23)))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> ((op2 (e22) (e22)) = (e23)) -> ((op2 (e20) (e20)) = (e23)) -> (((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e21)) = (e22))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> ((op2 (e20) (e21)) = (e21)) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> ((e23) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((e20) = (op2 (e21) (e21))) -> ((e22) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> False).
% 54.76/54.94 do 0 intro. intros zenon_H3b4 zenon_H9f zenon_H478 zenon_H395 zenon_H47a zenon_H47c zenon_Hf6 zenon_Ha8 zenon_H3b1 zenon_H39d zenon_Hb9 zenon_H282 zenon_H60 zenon_H3b zenon_H33 zenon_H3f zenon_H3af.
% 54.76/54.94 apply (zenon_or_s _ _ zenon_H3b4); [ zenon_intro zenon_H9e | zenon_intro zenon_H3b5 ].
% 54.76/54.94 apply (zenon_L27_); trivial.
% 54.76/54.94 apply (zenon_or_s _ _ zenon_H3b5); [ zenon_intro zenon_He9 | zenon_intro zenon_H3b6 ].
% 54.76/54.94 apply (zenon_L512_); trivial.
% 54.76/54.94 apply (zenon_or_s _ _ zenon_H3b6); [ zenon_intro zenon_Heb | zenon_intro zenon_H106 ].
% 54.76/54.94 apply (zenon_L513_); trivial.
% 54.76/54.94 apply (zenon_L349_); trivial.
% 54.76/54.94 (* end of lemma zenon_L514_ *)
% 54.76/54.94 assert (zenon_L515_ : (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> ((e10) = (op1 (e11) (e11))) -> ((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> ((op1 (e10) (e12)) = (e10)) -> ((op1 (e12) (e10)) = (e10)) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((h2 (op1 (e10) (e13))) = (op2 (h2 (e10)) (h2 (e13))))) -> ((h2 (e12)) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> ((h2 (e10)) = (op2 (e21) (e21))) -> ((h2 (e13)) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e11) (e11)) = (e11))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> ((op1 (e11) (op1 (e11) (e12))) = (e12)) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e12))\/((op1 (e11) (e10)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> ((op1 (e11) (op1 (e11) (e11))) = (e11)) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> ((op1 (e11) (op1 (e11) (e10))) = (e10)) -> (~((op1 (e12) (e12)) = (e11))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e12) (e12)) = (e12))) -> (~((op1 (e12) (e13)) = (e12))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (((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) (e11)) = (op1 (e11) (e11)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> ((op1 (e11) (op1 (e11) (e13))) = (e13)) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((e12) = (e13))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> ((e12) = (op1 (op1 (op1 (e11) (e11)) (op1 (e11) (e11))) (op1 (e11) (e11)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> ((op2 (e20) (e21)) = (e21)) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> (((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e21)) = (e22))\/((op2 (e23) (e21)) = (e23))))) -> ((op2 (e20) (e20)) = (e23)) -> ((op2 (e22) (e22)) = (e23)) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (~((op2 (e21) (e22)) = (op2 (e21) (e23)))) -> ((op2 (e21) (op2 (e21) (e23))) = (e23)) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e22) (e23)) = (e22))) -> ((e22) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> ((e20) = (op2 (e21) (e21))) -> ((e23) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> False).
% 54.76/54.94 do 0 intro. intros zenon_H47e zenon_H25 zenon_H13 zenon_H15 zenon_H1e zenon_H17 zenon_H474 zenon_H18f zenon_H293 zenon_H1de zenon_H463 zenon_H44f zenon_H26c zenon_H461 zenon_H2c0 zenon_H473 zenon_H1a9 zenon_H1fa zenon_H1ed zenon_H375 zenon_H32e zenon_H1be zenon_H1b1 zenon_H15f zenon_H14b zenon_H2a5 zenon_H2a6 zenon_H1da zenon_H2a3 zenon_H292 zenon_H23f zenon_H1d8 zenon_H2b1 zenon_H154 zenon_H209 zenon_H23b zenon_H21a zenon_H1d1 zenon_H27d zenon_H30e zenon_H358 zenon_H32b zenon_H206 zenon_H19d zenon_H360 zenon_H2f8 zenon_H1fd zenon_H301 zenon_H316 zenon_H186 zenon_H204 zenon_H179 zenon_H180 zenon_H15a zenon_H2c2 zenon_H29e zenon_H18a zenon_H236 zenon_H2e7 zenon_H2ad zenon_H1cc zenon_H2b9 zenon_H313 zenon_H155 zenon_H172 zenon_H1a0 zenon_H3af zenon_H60 zenon_H282 zenon_Hb9 zenon_H39d zenon_H3b1 zenon_Ha8 zenon_Hf6 zenon_H47c zenon_H47a zenon_H395 zenon_H9f zenon_H3b4 zenon_H281 zenon_H3f zenon_H33 zenon_H3b zenon_H6e.
% 54.76/54.94 apply (zenon_or_s _ _ zenon_H47e); [ zenon_intro zenon_H464 | zenon_intro zenon_H47f ].
% 54.76/54.94 apply (zenon_L510_); trivial.
% 54.76/54.94 apply (zenon_or_s _ _ zenon_H47f); [ zenon_intro zenon_H478 | zenon_intro zenon_H480 ].
% 54.76/54.94 apply (zenon_L514_); trivial.
% 54.76/54.94 apply (zenon_or_s _ _ zenon_H480); [ zenon_intro zenon_He2 | zenon_intro zenon_H6d ].
% 54.76/54.94 exact (zenon_H281 zenon_He2).
% 54.76/54.94 apply (zenon_L17_); trivial.
% 54.76/54.94 (* end of lemma zenon_L515_ *)
% 54.76/54.94 assert (zenon_L516_ : ((op2 (e21) (op2 (e21) (e22))) = (e22)) -> ((op2 (e21) (e22)) = (e23)) -> ((op2 (e20) (e23)) = (e22)) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> False).
% 54.76/54.94 do 0 intro. intros zenon_H481 zenon_H38e zenon_H464 zenon_H3a8.
% 54.76/54.94 elim (classic ((op2 (e21) (e23)) = (op2 (e21) (e23)))); [ zenon_intro zenon_H397 | zenon_intro zenon_H398 ].
% 54.76/54.94 cut (((op2 (e21) (e23)) = (op2 (e21) (e23))) = ((op2 (e20) (e23)) = (op2 (e21) (e23)))).
% 54.76/54.94 intro zenon_D_pnotp.
% 54.76/54.94 apply zenon_H3a8.
% 54.76/54.94 rewrite <- zenon_D_pnotp.
% 54.76/54.94 exact zenon_H397.
% 54.76/54.94 cut (((op2 (e21) (e23)) = (op2 (e21) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H398].
% 54.76/54.94 cut (((op2 (e21) (e23)) = (op2 (e20) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H3a9].
% 54.76/54.94 congruence.
% 54.76/54.94 cut (((op2 (e21) (op2 (e21) (e22))) = (e22)) = ((op2 (e21) (e23)) = (op2 (e20) (e23)))).
% 54.76/54.94 intro zenon_D_pnotp.
% 54.76/54.94 apply zenon_H3a9.
% 54.76/54.94 rewrite <- zenon_D_pnotp.
% 54.76/54.94 exact zenon_H481.
% 54.76/54.94 cut (((e22) = (op2 (e20) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H482].
% 54.76/54.94 cut (((op2 (e21) (op2 (e21) (e22))) = (op2 (e21) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H483].
% 54.76/54.94 congruence.
% 54.76/54.94 elim (classic ((op2 (e21) (e23)) = (op2 (e21) (e23)))); [ zenon_intro zenon_H397 | zenon_intro zenon_H398 ].
% 54.76/54.94 cut (((op2 (e21) (e23)) = (op2 (e21) (e23))) = ((op2 (e21) (op2 (e21) (e22))) = (op2 (e21) (e23)))).
% 54.76/54.94 intro zenon_D_pnotp.
% 54.76/54.94 apply zenon_H483.
% 54.76/54.94 rewrite <- zenon_D_pnotp.
% 54.76/54.94 exact zenon_H397.
% 54.76/54.94 cut (((op2 (e21) (e23)) = (op2 (e21) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H398].
% 54.76/54.94 cut (((op2 (e21) (e23)) = (op2 (e21) (op2 (e21) (e22))))); [idtac | apply NNPP; zenon_intro zenon_H484].
% 54.76/54.94 congruence.
% 54.76/54.94 cut (((e23) = (op2 (e21) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H391].
% 54.76/54.94 cut (((e21) = (e21))); [idtac | apply NNPP; zenon_intro zenon_H26e].
% 54.76/54.94 congruence.
% 54.76/54.94 apply zenon_H26e. apply refl_equal.
% 54.76/54.94 apply zenon_H391. apply sym_equal. exact zenon_H38e.
% 54.76/54.94 apply zenon_H398. apply refl_equal.
% 54.76/54.94 apply zenon_H398. apply refl_equal.
% 54.76/54.94 apply zenon_H482. apply sym_equal. exact zenon_H464.
% 54.76/54.94 apply zenon_H398. apply refl_equal.
% 54.76/54.94 apply zenon_H398. apply refl_equal.
% 54.76/54.94 (* end of lemma zenon_L516_ *)
% 54.76/54.94 assert (zenon_L517_ : (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> ((op2 (e21) (e22)) = (e23)) -> ((op2 (e21) (op2 (e21) (e22))) = (e22)) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> ((op2 (e20) (e21)) = (e21)) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> (((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e21)) = (e22))\/((op2 (e23) (e21)) = (e23))))) -> ((op2 (e20) (e20)) = (e23)) -> ((op2 (e22) (e22)) = (e23)) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (~((op2 (e21) (e22)) = (op2 (e21) (e23)))) -> ((op2 (e21) (op2 (e21) (e23))) = (e23)) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e22) (e23)) = (e22))) -> ((e22) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> ((e20) = (op2 (e21) (e21))) -> ((e23) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> False).
% 54.76/54.94 do 0 intro. intros zenon_H47e zenon_H3a8 zenon_H38e zenon_H481 zenon_H3af zenon_H60 zenon_H282 zenon_Hb9 zenon_H39d zenon_H3b1 zenon_Ha8 zenon_Hf6 zenon_H47c zenon_H47a zenon_H395 zenon_H9f zenon_H3b4 zenon_H281 zenon_H3f zenon_H33 zenon_H3b zenon_H6e.
% 54.76/54.94 apply (zenon_or_s _ _ zenon_H47e); [ zenon_intro zenon_H464 | zenon_intro zenon_H47f ].
% 54.76/54.94 apply (zenon_L516_); trivial.
% 54.76/54.94 apply (zenon_or_s _ _ zenon_H47f); [ zenon_intro zenon_H478 | zenon_intro zenon_H480 ].
% 54.76/54.94 apply (zenon_L514_); trivial.
% 54.76/54.94 apply (zenon_or_s _ _ zenon_H480); [ zenon_intro zenon_He2 | zenon_intro zenon_H6d ].
% 54.76/54.94 exact (zenon_H281 zenon_He2).
% 54.76/54.94 apply (zenon_L17_); trivial.
% 54.76/54.94 (* end of lemma zenon_L517_ *)
% 54.76/54.94 assert (zenon_L518_ : (((op2 (e22) (e22)) = (e20))\/(((op2 (e22) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e22)) = (e23))))) -> ((op2 (e22) (e20)) = (e20)) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> (~((op2 (e22) (e22)) = (e21))) -> (~((op2 (e22) (e22)) = (e22))) -> ((e23) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((op2 (e22) (e23)) = (e23)) -> ((op2 (e20) (e20)) = (e23)) -> ((e20) = (op2 (e21) (e21))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> False).
% 54.76/54.94 do 0 intro. intros zenon_H100 zenon_H121 zenon_H37d zenon_H101 zenon_Hd7 zenon_H3b zenon_Heb zenon_Ha8 zenon_H33 zenon_H47c.
% 54.76/54.94 apply (zenon_or_s _ _ zenon_H100); [ zenon_intro zenon_H88 | zenon_intro zenon_H102 ].
% 54.76/54.94 apply (zenon_L309_); trivial.
% 54.76/54.94 apply (zenon_or_s _ _ zenon_H102); [ zenon_intro zenon_H104 | zenon_intro zenon_H103 ].
% 54.76/54.94 exact (zenon_H101 zenon_H104).
% 54.76/54.94 apply (zenon_or_s _ _ zenon_H103); [ zenon_intro zenon_Hd6 | zenon_intro zenon_Hf6 ].
% 54.76/54.94 exact (zenon_Hd7 zenon_Hd6).
% 54.76/54.94 apply (zenon_L513_); trivial.
% 54.76/54.94 (* end of lemma zenon_L518_ *)
% 54.76/54.94 assert (zenon_L519_ : (((op2 (e22) (e20)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e22) (e23)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> (~((e22) = (e23))) -> ((op2 (e22) (e21)) = (e22)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> ((e22) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> (~((op2 (e22) (e23)) = (e22))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> ((op2 (e21) (op2 (e21) (e23))) = (e23)) -> (~((op2 (e21) (e22)) = (op2 (e21) (e23)))) -> (((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e21)) = (e22))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> ((op2 (e20) (e21)) = (e21)) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> ((op2 (e21) (op2 (e21) (e22))) = (e22)) -> ((op2 (e21) (e22)) = (e23)) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (((op2 (e22) (e22)) = (e20))\/(((op2 (e22) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e22)) = (e23))))) -> ((op2 (e22) (e20)) = (e20)) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> (~((op2 (e22) (e22)) = (e21))) -> (~((op2 (e22) (e22)) = (e22))) -> ((e23) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((op2 (e20) (e20)) = (e23)) -> ((e20) = (op2 (e21) (e21))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> False).
% 54.76/54.94 do 0 intro. intros zenon_H3f1 zenon_H11f zenon_Hec zenon_Hd3 zenon_H6e zenon_H3f zenon_H281 zenon_H3b4 zenon_H9f zenon_H395 zenon_H47a zenon_H3b1 zenon_H39d zenon_Hb9 zenon_H282 zenon_H60 zenon_H3af zenon_H481 zenon_H38e zenon_H3a8 zenon_H47e zenon_H100 zenon_H121 zenon_H37d zenon_H101 zenon_Hd7 zenon_H3b zenon_Ha8 zenon_H33 zenon_H47c.
% 54.76/54.94 apply (zenon_or_s _ _ zenon_H3f1); [ zenon_intro zenon_H3df | zenon_intro zenon_H3f2 ].
% 54.76/54.94 apply (zenon_L364_); trivial.
% 54.76/54.94 apply (zenon_or_s _ _ zenon_H3f2); [ zenon_intro zenon_H3ba | zenon_intro zenon_H3f3 ].
% 54.76/54.94 apply (zenon_L350_); trivial.
% 54.76/54.94 apply (zenon_or_s _ _ zenon_H3f3); [ zenon_intro zenon_Hf6 | zenon_intro zenon_Heb ].
% 54.76/54.94 apply (zenon_L517_); trivial.
% 54.76/54.94 apply (zenon_L518_); trivial.
% 54.76/54.94 (* end of lemma zenon_L519_ *)
% 54.76/54.94 assert (zenon_L520_ : (((op2 (e20) (e20)) = (e23))\/(((op2 (e20) (e21)) = (e23))\/(((op2 (e20) (e22)) = (e23))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e22) (e23)) = (e22))) -> (~((op2 (e22) (e22)) = (e22))) -> (((op2 (e20) (e21)) = (e20))\/(((op2 (e20) (e21)) = (e21))\/(((op2 (e20) (e21)) = (e22))\/((op2 (e20) (e21)) = (e23))))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> ((e22) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> (~((e21) = (e22))) -> (~((op2 (e21) (e21)) = (e21))) -> (((op2 (e21) (e20)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/((op2 (e21) (e23)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e22) (e22)) = (e21))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> ((op2 (e22) (e20)) = (e20)) -> (((op2 (e22) (e22)) = (e20))\/(((op2 (e22) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e22)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> ((op2 (e21) (op2 (e21) (e22))) = (e22)) -> (((op2 (e22) (e20)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e22) (e23)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> (~((e22) = (e23))) -> ((op2 (e22) (e21)) = (e22)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e21) (e22)) = (op2 (e21) (e23)))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e21)) = (e22))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> ((e12) = (op1 (op1 (op1 (e11) (e11)) (op1 (e11) (e11))) (op1 (e11) (e11)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((e12) = (e13))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> ((op1 (e11) (op1 (e11) (e13))) = (e13)) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e11)) = (e12))\/((op1 (e10) (e11)) = (e13))))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e12) (e13)) = (e12))) -> (~((op1 (e12) (e12)) = (e12))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e12)) = (e11))) -> ((op1 (e11) (op1 (e11) (e10))) = (e10)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> ((op1 (e11) (op1 (e11) (e11))) = (e11)) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e12))\/((op1 (e11) (e10)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> ((op1 (e11) (op1 (e11) (e12))) = (e12)) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e11)) = (e11))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> ((h2 (e13)) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((h2 (e10)) = (op2 (e21) (e21))) -> ((h2 (e12)) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> (~((h2 (op1 (e10) (e13))) = (op2 (h2 (e10)) (h2 (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> ((op1 (e12) (e10)) = (e10)) -> ((op1 (e10) (e12)) = (e10)) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> ((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) -> ((e10) = (op1 (e11) (e11))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> ((op2 (e21) (op2 (e21) (e23))) = (e23)) -> (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e22)))) -> ((e23) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((e20) = (op2 (e21) (e21))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> False).
% 54.76/54.94 do 0 intro. intros zenon_Ha5 zenon_H281 zenon_Hd7 zenon_H289 zenon_H8d zenon_H282 zenon_H286 zenon_Hb0 zenon_H3f zenon_Hf1 zenon_H27e zenon_H28d zenon_H399 zenon_H45 zenon_H116 zenon_H101 zenon_H37d zenon_H121 zenon_H100 zenon_H3a8 zenon_H481 zenon_H3f1 zenon_H11f zenon_Hec zenon_Hd3 zenon_H6e zenon_H3b4 zenon_H47a zenon_H47c zenon_H3b1 zenon_H39d zenon_H60 zenon_H3af zenon_H1a0 zenon_H172 zenon_H155 zenon_H313 zenon_H2b9 zenon_H1cc zenon_H2ad zenon_H2e7 zenon_H236 zenon_H18a zenon_H29e zenon_H2c2 zenon_H15a zenon_H180 zenon_H179 zenon_H204 zenon_H186 zenon_H316 zenon_H301 zenon_H1fd zenon_H2f8 zenon_H360 zenon_H19d zenon_H206 zenon_H32b zenon_H358 zenon_H30e zenon_H27d zenon_H1d1 zenon_H21a zenon_H23b zenon_H209 zenon_H154 zenon_H2b1 zenon_H1d8 zenon_H23f zenon_H292 zenon_H2a3 zenon_H1da zenon_H2a6 zenon_H2a5 zenon_H14b zenon_H15f zenon_H1b1 zenon_H1be zenon_H32e zenon_H375 zenon_H1ed zenon_H1fa zenon_H1a9 zenon_H473 zenon_H2c0 zenon_H461 zenon_H26c zenon_H44f zenon_H463 zenon_H1de zenon_H293 zenon_H18f zenon_H474 zenon_H17 zenon_H1e zenon_H15 zenon_H13 zenon_H25 zenon_H47e zenon_H394 zenon_H395 zenon_H28c zenon_H93 zenon_H98 zenon_H3b zenon_H33 zenon_H9f.
% 54.76/54.94 apply (zenon_or_s _ _ zenon_Ha5); [ zenon_intro zenon_Ha8 | zenon_intro zenon_Ha7 ].
% 54.76/54.94 apply (zenon_or_s _ _ zenon_H28c); [ zenon_intro zenon_Hb9 | zenon_intro zenon_H28e ].
% 54.76/54.94 apply (zenon_or_s _ _ zenon_H399); [ zenon_intro zenon_H44 | zenon_intro zenon_H39a ].
% 54.76/54.94 apply (zenon_L10_); trivial.
% 54.76/54.94 apply (zenon_or_s _ _ zenon_H39a); [ zenon_intro zenon_H388 | zenon_intro zenon_H39b ].
% 54.76/54.94 apply (zenon_or_s _ _ zenon_H3f1); [ zenon_intro zenon_H3df | zenon_intro zenon_H3f2 ].
% 54.76/54.94 apply (zenon_L364_); trivial.
% 54.76/54.94 apply (zenon_or_s _ _ zenon_H3f2); [ zenon_intro zenon_H3ba | zenon_intro zenon_H3f3 ].
% 54.76/54.94 apply (zenon_L350_); trivial.
% 54.76/54.94 apply (zenon_or_s _ _ zenon_H3f3); [ zenon_intro zenon_Hf6 | zenon_intro zenon_Heb ].
% 54.76/54.94 apply (zenon_L515_); trivial.
% 54.76/54.94 apply (zenon_L323_); trivial.
% 54.76/54.94 apply (zenon_or_s _ _ zenon_H39b); [ zenon_intro zenon_H38e | zenon_intro zenon_He9 ].
% 54.76/54.94 apply (zenon_L519_); trivial.
% 54.76/54.94 apply (zenon_or_s _ _ zenon_H3f1); [ zenon_intro zenon_H3df | zenon_intro zenon_H3f2 ].
% 54.76/54.94 apply (zenon_L364_); trivial.
% 54.76/54.94 apply (zenon_or_s _ _ zenon_H3f2); [ zenon_intro zenon_H3ba | zenon_intro zenon_H3f3 ].
% 54.76/54.94 apply (zenon_L350_); trivial.
% 54.76/54.94 apply (zenon_or_s _ _ zenon_H3f3); [ zenon_intro zenon_Hf6 | zenon_intro zenon_Heb ].
% 54.76/54.94 apply (zenon_L515_); trivial.
% 54.76/54.94 apply (zenon_L326_); trivial.
% 54.76/54.94 apply (zenon_or_s _ _ zenon_H28e); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H28f ].
% 54.76/54.94 exact (zenon_H28d zenon_Hc3).
% 54.76/54.94 apply (zenon_or_s _ _ zenon_H28f); [ zenon_intro zenon_H27f | zenon_intro zenon_H283 ].
% 54.76/54.94 apply (zenon_L134_); trivial.
% 54.76/54.94 apply (zenon_L138_); trivial.
% 54.76/54.94 apply (zenon_or_s _ _ zenon_Ha7); [ zenon_intro zenon_H92 | zenon_intro zenon_Ha9 ].
% 54.76/54.94 apply (zenon_L25_); trivial.
% 54.76/54.94 apply (zenon_or_s _ _ zenon_Ha9); [ zenon_intro zenon_H97 | zenon_intro zenon_H9e ].
% 54.76/54.94 apply (zenon_L26_); trivial.
% 54.76/54.94 apply (zenon_L27_); trivial.
% 54.76/54.94 (* end of lemma zenon_L520_ *)
% 54.76/54.94 assert (zenon_L521_ : ((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13)))) -> (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> (((op2 (e20) (e21)) = (e20))\/(((op2 (e20) (e21)) = (e21))\/(((op2 (e20) (e21)) = (e22))\/((op2 (e20) (e21)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> (~((e21) = (e22))) -> (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> (~((op2 (e21) (e21)) = (e21))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> ((e23) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((e20) = (op2 (e21) (e21))) -> (((op2 (e22) (e20)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e22) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> ((op1 (e11) (op1 (e11) (e10))) = (e10)) -> ((op1 (e12) (e10)) = (e10)) -> ((op1 (e10) (e12)) = (e10)) -> (~((op1 (e12) (e12)) = (e11))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> ((op1 (e11) (op1 (e11) (e12))) = (e12)) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((e12) = (e13))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> ((op1 (e11) (op1 (e11) (e13))) = (e13)) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e12) (e12)) = (e12))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e11)) = (e12))\/((op1 (e10) (e11)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (~((h2 (op1 (e10) (e13))) = (op2 (h2 (e10)) (h2 (e13))))) -> ((h2 (e12)) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> ((h2 (e13)) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((h2 (e10)) = (op2 (e21) (e21))) -> ((e22) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> ((e10) = (op1 (e11) (e11))) -> ((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) -> ((e12) = (op1 (op1 (op1 (e11) (e11)) (op1 (e11) (e11))) (op1 (e11) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e11) (e11)) = (e11))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e12))\/((op1 (e11) (e10)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> ((op1 (e11) (op1 (e11) (e11))) = (e11)) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e21)) = (e22))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> ((op2 (e21) (op2 (e21) (e23))) = (e23)) -> (~((op2 (e21) (e22)) = (op2 (e21) (e23)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (~((op2 (e22) (e23)) = (e22))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> ((op2 (e22) (e21)) = (e22)) -> (~((e22) = (e23))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> ((op2 (e22) (e20)) = (e20)) -> (~((op2 (e22) (e22)) = (e21))) -> (~((op2 (e22) (e22)) = (e22))) -> (((op2 (e22) (e22)) = (e20))\/(((op2 (e22) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e22)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> ((op2 (e21) (op2 (e21) (e22))) = (e22)) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e21) (e20)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/((op2 (e21) (e23)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e22)))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e20) (e21)) = (e23))\/(((op2 (e20) (e22)) = (e23))\/((op2 (e20) (e23)) = (e23))))) -> False).
% 54.76/54.94 do 0 intro. intros zenon_H22c zenon_H28c zenon_H289 zenon_H93 zenon_H286 zenon_H8d zenon_Hb0 zenon_H27e zenon_Hf1 zenon_H28d zenon_H45 zenon_H3b zenon_H33 zenon_H3f1 zenon_H116 zenon_H1a0 zenon_H1e zenon_H1fa zenon_H1de zenon_H292 zenon_H293 zenon_H18f zenon_H23f zenon_H1da zenon_H375 zenon_H1ed zenon_H15a zenon_H2ad zenon_H236 zenon_H32b zenon_H19d zenon_H316 zenon_H360 zenon_H1cc zenon_H18a zenon_H1fd zenon_H172 zenon_H29e zenon_H2f8 zenon_H301 zenon_H23b zenon_H1d1 zenon_H204 zenon_H179 zenon_H180 zenon_H186 zenon_H17 zenon_H206 zenon_H2b9 zenon_H30e zenon_H25 zenon_H2e7 zenon_H21a zenon_H358 zenon_H2c0 zenon_H463 zenon_H44f zenon_H461 zenon_H26c zenon_H3f zenon_H32e zenon_H2c2 zenon_H13 zenon_H15 zenon_H155 zenon_H154 zenon_H473 zenon_H15f zenon_H1a9 zenon_H14b zenon_H209 zenon_H1be zenon_H1d8 zenon_H2a3 zenon_H2a5 zenon_H2a6 zenon_H2b1 zenon_H1b1 zenon_H313 zenon_H474 zenon_H3b4 zenon_H39d zenon_H282 zenon_H60 zenon_H3af zenon_H3b1 zenon_H47c zenon_H395 zenon_H47a zenon_H9f zenon_H281 zenon_H6e zenon_H47e zenon_Hd3 zenon_Hec zenon_H11f zenon_H37d zenon_H121 zenon_H101 zenon_Hd7 zenon_H100 zenon_H3a8 zenon_H481 zenon_H394 zenon_H399 zenon_H98 zenon_Ha5.
% 54.76/54.94 apply (zenon_or_s _ _ zenon_H22c); [ zenon_intro zenon_H27d | zenon_intro zenon_H29d ].
% 54.76/54.94 apply (zenon_L520_); trivial.
% 54.76/54.94 apply (zenon_L144_); trivial.
% 54.76/54.94 (* end of lemma zenon_L521_ *)
% 54.76/54.94 assert (zenon_L522_ : ((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12)))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e20) (e21)) = (e23))\/(((op2 (e20) (e22)) = (e23))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e22)))) -> (((op2 (e21) (e20)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/((op2 (e21) (e23)) = (e23))))) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> ((op2 (e21) (op2 (e21) (e22))) = (e22)) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (((op2 (e22) (e22)) = (e20))\/(((op2 (e22) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e22)) = (e23))))) -> (~((op2 (e22) (e22)) = (e22))) -> (~((op2 (e22) (e22)) = (e21))) -> ((op2 (e22) (e20)) = (e20)) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> (~((e22) = (e23))) -> ((op2 (e22) (e21)) = (e22)) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op2 (e22) (e23)) = (e22))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (~((op2 (e21) (e22)) = (op2 (e21) (e23)))) -> ((op2 (e21) (op2 (e21) (e23))) = (e23)) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e21)) = (e22))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> ((op1 (e11) (op1 (e11) (e11))) = (e11)) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e12))\/((op1 (e11) (e10)) = (e13))))) -> (~((op1 (e11) (e11)) = (e11))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> ((e12) = (op1 (op1 (op1 (e11) (e11)) (op1 (e11) (e11))) (op1 (e11) (e11)))) -> ((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) -> ((e10) = (op1 (e11) (e11))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> ((e22) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> ((h2 (e10)) = (op2 (e21) (e21))) -> ((h2 (e13)) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((h2 (e12)) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> (~((h2 (op1 (e10) (e13))) = (op2 (h2 (e10)) (h2 (e13))))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e11)) = (e12))\/((op1 (e10) (e11)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> ((op1 (e11) (op1 (e11) (e13))) = (e13)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((e12) = (e13))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> ((op1 (e11) (op1 (e11) (e12))) = (e12)) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (~((op1 (e12) (e12)) = (e11))) -> ((op1 (e10) (e12)) = (e10)) -> ((op1 (e12) (e10)) = (e10)) -> ((op1 (e11) (op1 (e11) (e10))) = (e10)) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e22) (e20)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e22) (e23)) = (e23))))) -> ((e20) = (op2 (e21) (e21))) -> ((e23) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (~((op2 (e21) (e21)) = (e21))) -> (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> (~((e21) = (e22))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> (((op2 (e20) (e21)) = (e20))\/(((op2 (e20) (e21)) = (e21))\/(((op2 (e20) (e21)) = (e22))\/((op2 (e20) (e21)) = (e23))))) -> (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> ((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13)))) -> False).
% 54.76/54.94 do 0 intro. intros zenon_H224 zenon_Ha5 zenon_H98 zenon_H399 zenon_H394 zenon_H481 zenon_H3a8 zenon_H100 zenon_Hd7 zenon_H101 zenon_H121 zenon_H37d zenon_H11f zenon_Hec zenon_Hd3 zenon_H47e zenon_H6e zenon_H281 zenon_H9f zenon_H47a zenon_H395 zenon_H47c zenon_H3b1 zenon_H3af zenon_H60 zenon_H282 zenon_H39d zenon_H3b4 zenon_H474 zenon_H313 zenon_H1b1 zenon_H2b1 zenon_H2a6 zenon_H2a5 zenon_H2a3 zenon_H1d8 zenon_H1be zenon_H209 zenon_H14b zenon_H1a9 zenon_H15f zenon_H473 zenon_H154 zenon_H155 zenon_H15 zenon_H13 zenon_H2c2 zenon_H32e zenon_H3f zenon_H26c zenon_H461 zenon_H44f zenon_H463 zenon_H2c0 zenon_H358 zenon_H21a zenon_H2e7 zenon_H25 zenon_H30e zenon_H2b9 zenon_H206 zenon_H17 zenon_H186 zenon_H180 zenon_H179 zenon_H204 zenon_H23b zenon_H301 zenon_H2f8 zenon_H29e zenon_H172 zenon_H1fd zenon_H18a zenon_H1cc zenon_H360 zenon_H316 zenon_H19d zenon_H32b zenon_H236 zenon_H2ad zenon_H15a zenon_H1ed zenon_H375 zenon_H1da zenon_H23f zenon_H18f zenon_H293 zenon_H292 zenon_H1de zenon_H1fa zenon_H1e zenon_H1a0 zenon_H116 zenon_H3f1 zenon_H33 zenon_H3b zenon_H45 zenon_H28d zenon_Hf1 zenon_H27e zenon_Hb0 zenon_H8d zenon_H286 zenon_H93 zenon_H289 zenon_H28c zenon_H22c.
% 54.76/54.94 apply (zenon_or_s _ _ zenon_H224); [ zenon_intro zenon_H1d1 | zenon_intro zenon_H1d1 ].
% 54.76/54.94 apply (zenon_L521_); trivial.
% 54.76/54.94 apply (zenon_L521_); trivial.
% 54.76/54.94 (* end of lemma zenon_L522_ *)
% 54.76/54.94 assert (zenon_L523_ : (((op1 (e10) (e12)) = (e10))/\(((op1 (e12) (e10)) = (e10))/\(((~((op1 (e12) (e10)) = (e12)))\/(~((op1 (e12) (e12)) = (e10))))/\(((~((op1 (e12) (e11)) = (e12)))\/(~((op1 (e12) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13))))))))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e20) (e21)) = (e23))\/(((op2 (e20) (e22)) = (e23))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e22)))) -> (((op2 (e21) (e20)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/((op2 (e21) (e23)) = (e23))))) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> ((op2 (e21) (op2 (e21) (e22))) = (e22)) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (((op2 (e22) (e22)) = (e20))\/(((op2 (e22) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e22)) = (e23))))) -> (~((op2 (e22) (e22)) = (e22))) -> (~((op2 (e22) (e22)) = (e21))) -> ((op2 (e22) (e20)) = (e20)) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> (~((e22) = (e23))) -> ((op2 (e22) (e21)) = (e22)) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op2 (e22) (e23)) = (e22))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (~((op2 (e21) (e22)) = (op2 (e21) (e23)))) -> ((op2 (e21) (op2 (e21) (e23))) = (e23)) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e21)) = (e22))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> ((op1 (e11) (op1 (e11) (e11))) = (e11)) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e12))\/((op1 (e11) (e10)) = (e13))))) -> (~((op1 (e11) (e11)) = (e11))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> ((e12) = (op1 (op1 (op1 (e11) (e11)) (op1 (e11) (e11))) (op1 (e11) (e11)))) -> ((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) -> ((e10) = (op1 (e11) (e11))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> ((e22) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> ((h2 (e10)) = (op2 (e21) (e21))) -> ((h2 (e13)) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((h2 (e12)) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> (~((h2 (op1 (e10) (e13))) = (op2 (h2 (e10)) (h2 (e13))))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e11)) = (e12))\/((op1 (e10) (e11)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> ((op1 (e11) (op1 (e11) (e13))) = (e13)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((e12) = (e13))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> ((op1 (e11) (op1 (e11) (e12))) = (e12)) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (~((op1 (e12) (e12)) = (e11))) -> ((op1 (e11) (op1 (e11) (e10))) = (e10)) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e22) (e20)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e22) (e23)) = (e23))))) -> ((e20) = (op2 (e21) (e21))) -> ((e23) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (~((op2 (e21) (e21)) = (e21))) -> (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> (~((e21) = (e22))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> (((op2 (e20) (e21)) = (e20))\/(((op2 (e20) (e21)) = (e21))\/(((op2 (e20) (e21)) = (e22))\/((op2 (e20) (e21)) = (e23))))) -> (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> False).
% 54.76/54.94 do 0 intro. intros zenon_H197 zenon_Ha5 zenon_H98 zenon_H399 zenon_H394 zenon_H481 zenon_H3a8 zenon_H100 zenon_Hd7 zenon_H101 zenon_H121 zenon_H37d zenon_H11f zenon_Hec zenon_Hd3 zenon_H47e zenon_H6e zenon_H281 zenon_H9f zenon_H47a zenon_H395 zenon_H47c zenon_H3b1 zenon_H3af zenon_H60 zenon_H282 zenon_H39d zenon_H3b4 zenon_H474 zenon_H313 zenon_H1b1 zenon_H2b1 zenon_H2a6 zenon_H2a5 zenon_H2a3 zenon_H1d8 zenon_H1be zenon_H209 zenon_H14b zenon_H1a9 zenon_H15f zenon_H473 zenon_H154 zenon_H155 zenon_H15 zenon_H13 zenon_H2c2 zenon_H32e zenon_H3f zenon_H26c zenon_H461 zenon_H44f zenon_H463 zenon_H2c0 zenon_H358 zenon_H21a zenon_H2e7 zenon_H25 zenon_H30e zenon_H2b9 zenon_H206 zenon_H17 zenon_H186 zenon_H180 zenon_H179 zenon_H204 zenon_H23b zenon_H301 zenon_H2f8 zenon_H29e zenon_H172 zenon_H1fd zenon_H18a zenon_H1cc zenon_H360 zenon_H316 zenon_H19d zenon_H32b zenon_H236 zenon_H2ad zenon_H15a zenon_H1ed zenon_H375 zenon_H1da zenon_H23f zenon_H292 zenon_H1de zenon_H1fa zenon_H1e zenon_H1a0 zenon_H116 zenon_H3f1 zenon_H33 zenon_H3b zenon_H45 zenon_H28d zenon_Hf1 zenon_H27e zenon_Hb0 zenon_H8d zenon_H286 zenon_H93 zenon_H289 zenon_H28c.
% 54.76/54.94 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_H18f. zenon_intro zenon_H198.
% 54.76/54.94 apply (zenon_and_s _ _ zenon_H198). zenon_intro zenon_H293. zenon_intro zenon_H227.
% 54.76/54.94 apply (zenon_and_s _ _ zenon_H227). zenon_intro zenon_H229. zenon_intro zenon_H228.
% 54.76/54.94 apply (zenon_and_s _ _ zenon_H228). zenon_intro zenon_H22b. zenon_intro zenon_H22a.
% 54.76/54.94 apply (zenon_and_s _ _ zenon_H22a). zenon_intro zenon_H224. zenon_intro zenon_H22c.
% 54.76/54.94 apply (zenon_L522_); trivial.
% 54.76/54.94 (* end of lemma zenon_L523_ *)
% 54.76/54.94 assert (zenon_L524_ : (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> ((op1 (e10) (e11)) = (e11)) -> ((op1 (e10) (e13)) = (e11)) -> False).
% 54.76/54.94 do 0 intro. intros zenon_H485 zenon_H1fe zenon_H2ef.
% 54.76/54.94 cut (((op1 (e10) (e11)) = (e11)) = ((op1 (e10) (e11)) = (op1 (e10) (e13)))).
% 54.76/54.94 intro zenon_D_pnotp.
% 54.76/54.94 apply zenon_H485.
% 54.76/54.94 rewrite <- zenon_D_pnotp.
% 54.76/54.94 exact zenon_H1fe.
% 54.76/54.94 cut (((e11) = (op1 (e10) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H2f0].
% 54.76/54.94 cut (((op1 (e10) (e11)) = (op1 (e10) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H19].
% 54.76/54.94 congruence.
% 54.76/54.94 apply zenon_H19. apply refl_equal.
% 54.76/54.94 apply zenon_H2f0. apply sym_equal. exact zenon_H2ef.
% 54.76/54.94 (* end of lemma zenon_L524_ *)
% 54.76/54.94 assert (zenon_L525_ : (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (e10))) -> ((op1 (e10) (e11)) = (e11)) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> ((e23) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((h2 (e13)) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((e20) = (op2 (e21) (e21))) -> ((h2 (e10)) = (op2 (e21) (e21))) -> ((e22) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> ((op2 (e20) (e23)) = (e22)) -> ((h2 (e12)) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> (~((h2 (op1 (e10) (e13))) = (op2 (h2 (e10)) (h2 (e13))))) -> ((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) -> ((e10) = (op1 (e11) (e11))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> False).
% 54.76/54.94 do 0 intro. intros zenon_H328 zenon_H25f zenon_H1fe zenon_H485 zenon_H3b zenon_H461 zenon_H33 zenon_H26c zenon_H3f zenon_H464 zenon_H44f zenon_H463 zenon_H15 zenon_H13 zenon_H25.
% 54.76/54.94 apply (zenon_or_s _ _ zenon_H328); [ zenon_intro zenon_H19b | zenon_intro zenon_H329 ].
% 54.76/54.94 exact (zenon_H25f zenon_H19b).
% 54.76/54.94 apply (zenon_or_s _ _ zenon_H329); [ zenon_intro zenon_H2ef | zenon_intro zenon_H32a ].
% 54.76/54.94 apply (zenon_L524_); trivial.
% 54.76/54.94 apply (zenon_or_s _ _ zenon_H32a); [ zenon_intro zenon_H31b | zenon_intro zenon_H24 ].
% 54.76/54.94 apply (zenon_L493_); trivial.
% 54.76/54.94 apply (zenon_L4_); trivial.
% 54.76/54.94 (* end of lemma zenon_L525_ *)
% 54.76/54.94 assert (zenon_L526_ : (((op2 (e22) (e20)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e22) (e23)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> (~((e22) = (e23))) -> ((op2 (e22) (e21)) = (e22)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> ((e22) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> (~((op2 (e22) (e23)) = (e22))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> ((op2 (e21) (op2 (e21) (e23))) = (e23)) -> (~((op2 (e21) (e22)) = (op2 (e21) (e23)))) -> (((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e21)) = (e22))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> ((op2 (e20) (e21)) = (e21)) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (e10))) -> ((op1 (e10) (e11)) = (e11)) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> ((h2 (e13)) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((h2 (e10)) = (op2 (e21) (e21))) -> ((h2 (e12)) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> (~((h2 (op1 (e10) (e13))) = (op2 (h2 (e10)) (h2 (e13))))) -> ((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) -> ((e10) = (op1 (e11) (e11))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (((op2 (e22) (e22)) = (e20))\/(((op2 (e22) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e22)) = (e23))))) -> ((op2 (e22) (e20)) = (e20)) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> (~((op2 (e22) (e22)) = (e21))) -> (~((op2 (e22) (e22)) = (e22))) -> ((e23) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((op2 (e20) (e20)) = (e23)) -> ((e20) = (op2 (e21) (e21))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> False).
% 54.76/54.94 do 0 intro. intros zenon_H3f1 zenon_H11f zenon_Hec zenon_Hd3 zenon_H6e zenon_H3f zenon_H281 zenon_H3b4 zenon_H9f zenon_H395 zenon_H47a zenon_H3b1 zenon_H39d zenon_Hb9 zenon_H282 zenon_H60 zenon_H3af zenon_H328 zenon_H25f zenon_H1fe zenon_H485 zenon_H461 zenon_H26c zenon_H44f zenon_H463 zenon_H15 zenon_H13 zenon_H25 zenon_H47e zenon_H100 zenon_H121 zenon_H37d zenon_H101 zenon_Hd7 zenon_H3b zenon_Ha8 zenon_H33 zenon_H47c.
% 54.76/54.94 apply (zenon_or_s _ _ zenon_H3f1); [ zenon_intro zenon_H3df | zenon_intro zenon_H3f2 ].
% 54.76/54.94 apply (zenon_L364_); trivial.
% 54.76/54.94 apply (zenon_or_s _ _ zenon_H3f2); [ zenon_intro zenon_H3ba | zenon_intro zenon_H3f3 ].
% 54.76/54.94 apply (zenon_L350_); trivial.
% 54.76/54.94 apply (zenon_or_s _ _ zenon_H3f3); [ zenon_intro zenon_Hf6 | zenon_intro zenon_Heb ].
% 54.76/54.94 apply (zenon_or_s _ _ zenon_H47e); [ zenon_intro zenon_H464 | zenon_intro zenon_H47f ].
% 54.76/54.94 apply (zenon_L525_); trivial.
% 54.76/54.94 apply (zenon_or_s _ _ zenon_H47f); [ zenon_intro zenon_H478 | zenon_intro zenon_H480 ].
% 54.76/54.94 apply (zenon_L514_); trivial.
% 54.76/54.94 apply (zenon_or_s _ _ zenon_H480); [ zenon_intro zenon_He2 | zenon_intro zenon_H6d ].
% 54.76/54.94 exact (zenon_H281 zenon_He2).
% 54.76/54.94 apply (zenon_L17_); trivial.
% 54.76/54.94 apply (zenon_L518_); trivial.
% 54.76/54.94 (* end of lemma zenon_L526_ *)
% 54.76/54.94 assert (zenon_L527_ : (((op1 (e11) (e10)) = (e11))/\(((op1 (e10) (e11)) = (e11))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11))))/\(((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12))))/\((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13))))))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> (((op2 (e20) (e21)) = (e20))\/(((op2 (e20) (e21)) = (e21))\/(((op2 (e20) (e21)) = (e22))\/((op2 (e20) (e21)) = (e23))))) -> (~((e21) = (e22))) -> (~((op2 (e21) (e21)) = (e21))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> ((e23) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((e20) = (op2 (e21) (e21))) -> (~((e22) = (e23))) -> ((op2 (e22) (e21)) = (e22)) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op2 (e22) (e23)) = (e22))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (~((op2 (e21) (e22)) = (op2 (e21) (e23)))) -> ((op2 (e21) (op2 (e21) (e23))) = (e23)) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e21)) = (e22))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (~((h2 (op1 (e10) (e13))) = (op2 (h2 (e10)) (h2 (e13))))) -> ((h2 (e12)) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> ((h2 (e13)) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((h2 (e10)) = (op2 (e21) (e21))) -> ((e22) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> ((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) -> ((e10) = (op1 (e11) (e11))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (((op2 (e22) (e22)) = (e20))\/(((op2 (e22) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e22)) = (e23))))) -> (~((op2 (e22) (e22)) = (e22))) -> (~((op2 (e22) (e22)) = (e21))) -> ((op2 (e22) (e20)) = (e20)) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> (((op2 (e22) (e20)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e22) (e23)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e22)))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e20) (e21)) = (e23))\/(((op2 (e20) (e22)) = (e23))\/((op2 (e20) (e23)) = (e23))))) -> False).
% 54.76/54.94 do 0 intro. intros zenon_H259 zenon_H17 zenon_H1e zenon_H1a0 zenon_H28c zenon_H8d zenon_H286 zenon_H93 zenon_H289 zenon_H27e zenon_H28d zenon_H11f zenon_H3b zenon_H33 zenon_Hec zenon_Hd3 zenon_H47e zenon_H6e zenon_H281 zenon_H9f zenon_H47a zenon_H395 zenon_H47c zenon_H3b1 zenon_H3af zenon_H60 zenon_H282 zenon_H39d zenon_H3b4 zenon_H485 zenon_H463 zenon_H44f zenon_H461 zenon_H26c zenon_H3f zenon_H25 zenon_H15 zenon_H13 zenon_H328 zenon_H100 zenon_Hd7 zenon_H101 zenon_H121 zenon_H37d zenon_H3f1 zenon_H98 zenon_Ha5.
% 54.76/54.94 apply (zenon_and_s _ _ zenon_H259). zenon_intro zenon_H163. zenon_intro zenon_H25a.
% 54.76/54.94 apply (zenon_and_s _ _ zenon_H25a). zenon_intro zenon_H1fe. zenon_intro zenon_H149.
% 54.76/54.94 apply (zenon_and_s _ _ zenon_H149). zenon_intro zenon_H144. zenon_intro zenon_H14a.
% 54.76/54.94 apply (zenon_and_s _ _ zenon_H14a). zenon_intro zenon_H25c. zenon_intro zenon_H25b.
% 54.76/54.94 apply (zenon_and_s _ _ zenon_H25b). zenon_intro zenon_H25e. zenon_intro zenon_H25d.
% 54.76/54.95 apply (zenon_or_s _ _ zenon_H25d); [ zenon_intro zenon_H25f | zenon_intro zenon_H1a1 ].
% 54.76/54.95 apply (zenon_or_s _ _ zenon_Ha5); [ zenon_intro zenon_Ha8 | zenon_intro zenon_Ha7 ].
% 54.76/54.95 apply (zenon_or_s _ _ zenon_H28c); [ zenon_intro zenon_Hb9 | zenon_intro zenon_H28e ].
% 54.76/54.95 apply (zenon_L526_); trivial.
% 54.76/54.95 apply (zenon_or_s _ _ zenon_H28e); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H28f ].
% 54.76/54.95 exact (zenon_H28d zenon_Hc3).
% 54.76/54.95 apply (zenon_or_s _ _ zenon_H28f); [ zenon_intro zenon_H27f | zenon_intro zenon_H283 ].
% 54.76/54.95 apply (zenon_L133_); trivial.
% 54.76/54.95 apply (zenon_L137_); trivial.
% 54.76/54.95 apply (zenon_or_s _ _ zenon_Ha7); [ zenon_intro zenon_H92 | zenon_intro zenon_Ha9 ].
% 54.76/54.95 apply (zenon_L25_); trivial.
% 54.76/54.95 apply (zenon_or_s _ _ zenon_Ha9); [ zenon_intro zenon_H97 | zenon_intro zenon_H9e ].
% 54.76/54.95 apply (zenon_L26_); trivial.
% 54.76/54.95 apply (zenon_L27_); trivial.
% 54.76/54.95 apply (zenon_L79_); trivial.
% 54.76/54.95 (* end of lemma zenon_L527_ *)
% 54.76/54.95 assert (zenon_L528_ : (((op1 (e10) (e12)) = (e10))/\(((op1 (e12) (e10)) = (e10))/\(((~((op1 (e12) (e10)) = (e12)))\/(~((op1 (e12) (e12)) = (e10))))/\(((~((op1 (e12) (e11)) = (e12)))\/(~((op1 (e12) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13))))))))) -> (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> (((op2 (e20) (e21)) = (e20))\/(((op2 (e20) (e21)) = (e21))\/(((op2 (e20) (e21)) = (e22))\/((op2 (e20) (e21)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> (~((e21) = (e22))) -> (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> (~((op2 (e21) (e21)) = (e21))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> ((e23) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((e20) = (op2 (e21) (e21))) -> (((op2 (e22) (e20)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e22) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> ((op1 (e11) (op1 (e11) (e10))) = (e10)) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> ((op1 (e11) (op1 (e11) (e12))) = (e12)) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((e12) = (e13))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> ((op1 (e11) (op1 (e11) (e13))) = (e13)) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (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 (e12) (e11)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e11)) = (e12))\/((op1 (e10) (e11)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (~((h2 (op1 (e10) (e13))) = (op2 (h2 (e10)) (h2 (e13))))) -> ((h2 (e12)) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> ((h2 (e13)) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((h2 (e10)) = (op2 (e21) (e21))) -> ((e22) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> ((e10) = (op1 (e11) (e11))) -> ((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) -> ((e12) = (op1 (op1 (op1 (e11) (e11)) (op1 (e11) (e11))) (op1 (e11) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e11) (e11)) = (e11))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e12))\/((op1 (e11) (e10)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> ((op1 (e11) (op1 (e11) (e11))) = (e11)) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e21)) = (e22))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> ((op2 (e21) (op2 (e21) (e23))) = (e23)) -> (~((op2 (e21) (e22)) = (op2 (e21) (e23)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (~((op2 (e22) (e23)) = (e22))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> ((op2 (e22) (e21)) = (e22)) -> (~((e22) = (e23))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> ((op2 (e22) (e20)) = (e20)) -> (~((op2 (e22) (e22)) = (e21))) -> (~((op2 (e22) (e22)) = (e22))) -> (((op2 (e22) (e22)) = (e20))\/(((op2 (e22) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e22)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> ((op2 (e21) (op2 (e21) (e22))) = (e22)) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e21) (e20)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/((op2 (e21) (e23)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e22)))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e20) (e21)) = (e23))\/(((op2 (e20) (e22)) = (e23))\/((op2 (e20) (e23)) = (e23))))) -> ((op1 (e12) (e11)) = (e12)) -> False).
% 54.76/54.95 do 0 intro. intros zenon_H197 zenon_H28c zenon_H289 zenon_H93 zenon_H286 zenon_H8d zenon_Hb0 zenon_H27e zenon_Hf1 zenon_H28d zenon_H45 zenon_H3b zenon_H33 zenon_H3f1 zenon_H116 zenon_H1a0 zenon_H1e zenon_H1fa zenon_H1de zenon_H292 zenon_H1da zenon_H375 zenon_H1ed zenon_H15a zenon_H2ad zenon_H236 zenon_H32b zenon_H19d zenon_H316 zenon_H360 zenon_H1cc zenon_H18a zenon_H1fd zenon_H172 zenon_H29e zenon_H2f8 zenon_H301 zenon_H23b zenon_H204 zenon_H179 zenon_H180 zenon_H186 zenon_H17 zenon_H206 zenon_H2b9 zenon_H30e zenon_H25 zenon_H2e7 zenon_H21a zenon_H358 zenon_H2c0 zenon_H463 zenon_H44f zenon_H461 zenon_H26c zenon_H3f zenon_H32e zenon_H2c2 zenon_H13 zenon_H15 zenon_H155 zenon_H154 zenon_H473 zenon_H15f zenon_H1a9 zenon_H14b zenon_H209 zenon_H1be zenon_H1d8 zenon_H2a3 zenon_H2a5 zenon_H2a6 zenon_H2b1 zenon_H1b1 zenon_H313 zenon_H474 zenon_H3b4 zenon_H39d zenon_H282 zenon_H60 zenon_H3af zenon_H3b1 zenon_H47c zenon_H395 zenon_H47a zenon_H9f zenon_H281 zenon_H6e zenon_H47e zenon_Hd3 zenon_Hec zenon_H11f zenon_H37d zenon_H121 zenon_H101 zenon_Hd7 zenon_H100 zenon_H3a8 zenon_H481 zenon_H394 zenon_H399 zenon_H98 zenon_Ha5 zenon_H202.
% 54.76/54.95 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_H18f. zenon_intro zenon_H198.
% 54.76/54.95 apply (zenon_and_s _ _ zenon_H198). zenon_intro zenon_H293. zenon_intro zenon_H227.
% 54.76/54.95 apply (zenon_and_s _ _ zenon_H227). zenon_intro zenon_H229. zenon_intro zenon_H228.
% 54.76/54.95 apply (zenon_and_s _ _ zenon_H228). zenon_intro zenon_H22b. zenon_intro zenon_H22a.
% 54.76/54.95 apply (zenon_and_s _ _ zenon_H22a). zenon_intro zenon_H224. zenon_intro zenon_H22c.
% 54.76/54.95 apply (zenon_or_s _ _ zenon_H22b); [ zenon_intro zenon_H23c | zenon_intro zenon_H23f ].
% 54.76/54.95 exact (zenon_H23c zenon_H202).
% 54.76/54.95 apply (zenon_L522_); trivial.
% 54.76/54.95 (* end of lemma zenon_L528_ *)
% 54.76/54.95 assert (zenon_L529_ : (~((op1 (op1 (e11) (e11)) (op1 (e11) (e11))) = (op1 (e10) (e11)))) -> ((op1 (e11) (e11)) = (e11)) -> ((e10) = (op1 (e11) (e11))) -> False).
% 54.76/54.95 do 0 intro. intros zenon_H486 zenon_H1a7 zenon_H13.
% 54.76/54.95 cut (((op1 (e11) (e11)) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H473].
% 54.76/54.95 cut (((op1 (e11) (e11)) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H14].
% 54.76/54.95 congruence.
% 54.76/54.95 apply zenon_H14. apply sym_equal. exact zenon_H13.
% 54.76/54.95 exact (zenon_H473 zenon_H1a7).
% 54.76/54.95 (* end of lemma zenon_L529_ *)
% 54.76/54.95 assert (zenon_L530_ : ((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) -> ((op1 (e12) (e11)) = (e13)) -> ((op1 (e11) (e11)) = (e11)) -> ((e10) = (op1 (e11) (e11))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> False).
% 54.76/54.95 do 0 intro. intros zenon_H15 zenon_H2e3 zenon_H1a7 zenon_H13 zenon_H204.
% 54.76/54.95 elim (classic ((op1 (e12) (e11)) = (op1 (e12) (e11)))); [ zenon_intro zenon_H2da | zenon_intro zenon_H2db ].
% 54.76/54.95 cut (((op1 (e12) (e11)) = (op1 (e12) (e11))) = ((op1 (e10) (e11)) = (op1 (e12) (e11)))).
% 54.76/54.95 intro zenon_D_pnotp.
% 54.76/54.95 apply zenon_H204.
% 54.76/54.95 rewrite <- zenon_D_pnotp.
% 54.76/54.95 exact zenon_H2da.
% 54.76/54.95 cut (((op1 (e12) (e11)) = (op1 (e12) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H2db].
% 54.76/54.95 cut (((op1 (e12) (e11)) = (op1 (e10) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H308].
% 54.76/54.95 congruence.
% 54.76/54.95 cut (((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) = ((op1 (e12) (e11)) = (op1 (e10) (e11)))).
% 54.76/54.95 intro zenon_D_pnotp.
% 54.76/54.95 apply zenon_H308.
% 54.76/54.95 rewrite <- zenon_D_pnotp.
% 54.76/54.95 exact zenon_H15.
% 54.76/54.95 cut (((op1 (op1 (e11) (e11)) (op1 (e11) (e11))) = (op1 (e10) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H486].
% 54.76/54.95 cut (((e13) = (op1 (e12) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H2e4].
% 54.76/54.95 congruence.
% 54.76/54.95 elim (classic ((op1 (e12) (e11)) = (op1 (e12) (e11)))); [ zenon_intro zenon_H2da | zenon_intro zenon_H2db ].
% 54.76/54.95 cut (((op1 (e12) (e11)) = (op1 (e12) (e11))) = ((e13) = (op1 (e12) (e11)))).
% 54.76/54.95 intro zenon_D_pnotp.
% 54.76/54.95 apply zenon_H2e4.
% 54.76/54.95 rewrite <- zenon_D_pnotp.
% 54.76/54.95 exact zenon_H2da.
% 54.76/54.95 cut (((op1 (e12) (e11)) = (op1 (e12) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H2db].
% 54.76/54.95 cut (((op1 (e12) (e11)) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H45f].
% 54.76/54.95 congruence.
% 54.76/54.95 exact (zenon_H45f zenon_H2e3).
% 54.76/54.95 apply zenon_H2db. apply refl_equal.
% 54.76/54.95 apply zenon_H2db. apply refl_equal.
% 54.76/54.95 apply (zenon_L529_); trivial.
% 54.76/54.95 apply zenon_H2db. apply refl_equal.
% 54.76/54.95 apply zenon_H2db. apply refl_equal.
% 54.76/54.95 (* end of lemma zenon_L530_ *)
% 54.76/54.95 assert (zenon_L531_ : ((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) -> ((op1 (e13) (e11)) = (e13)) -> ((op1 (e11) (e11)) = (e11)) -> ((e10) = (op1 (e11) (e11))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> False).
% 54.76/54.95 do 0 intro. intros zenon_H15 zenon_H1c3 zenon_H1a7 zenon_H13 zenon_H1fd.
% 54.76/54.95 elim (classic ((op1 (e13) (e11)) = (op1 (e13) (e11)))); [ zenon_intro zenon_H173 | zenon_intro zenon_H174 ].
% 54.76/54.95 cut (((op1 (e13) (e11)) = (op1 (e13) (e11))) = ((op1 (e10) (e11)) = (op1 (e13) (e11)))).
% 54.76/54.95 intro zenon_D_pnotp.
% 54.76/54.95 apply zenon_H1fd.
% 54.76/54.95 rewrite <- zenon_D_pnotp.
% 54.76/54.95 exact zenon_H173.
% 54.76/54.95 cut (((op1 (e13) (e11)) = (op1 (e13) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H174].
% 54.76/54.95 cut (((op1 (e13) (e11)) = (op1 (e10) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H353].
% 54.76/54.95 congruence.
% 54.76/54.95 cut (((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) = ((op1 (e13) (e11)) = (op1 (e10) (e11)))).
% 54.76/54.95 intro zenon_D_pnotp.
% 54.76/54.95 apply zenon_H353.
% 54.76/54.95 rewrite <- zenon_D_pnotp.
% 54.76/54.95 exact zenon_H15.
% 54.76/54.95 cut (((op1 (op1 (e11) (e11)) (op1 (e11) (e11))) = (op1 (e10) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H486].
% 54.76/54.95 cut (((e13) = (op1 (e13) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H29f].
% 54.76/54.95 congruence.
% 54.76/54.95 elim (classic ((op1 (e13) (e11)) = (op1 (e13) (e11)))); [ zenon_intro zenon_H173 | zenon_intro zenon_H174 ].
% 54.76/54.95 cut (((op1 (e13) (e11)) = (op1 (e13) (e11))) = ((e13) = (op1 (e13) (e11)))).
% 54.76/54.95 intro zenon_D_pnotp.
% 54.76/54.95 apply zenon_H29f.
% 54.76/54.95 rewrite <- zenon_D_pnotp.
% 54.76/54.95 exact zenon_H173.
% 54.76/54.95 cut (((op1 (e13) (e11)) = (op1 (e13) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H174].
% 54.76/54.95 cut (((op1 (e13) (e11)) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H1bf].
% 54.76/54.95 congruence.
% 54.76/54.95 exact (zenon_H1bf zenon_H1c3).
% 54.76/54.95 apply zenon_H174. apply refl_equal.
% 54.76/54.95 apply zenon_H174. apply refl_equal.
% 54.76/54.95 apply (zenon_L529_); trivial.
% 54.76/54.95 apply zenon_H174. apply refl_equal.
% 54.76/54.95 apply zenon_H174. apply refl_equal.
% 54.76/54.95 (* end of lemma zenon_L531_ *)
% 54.76/54.95 assert (zenon_L532_ : (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> ((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) -> ((op1 (e11) (e11)) = (e11)) -> ((e10) = (op1 (e11) (e11))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> False).
% 54.76/54.95 do 0 intro. intros zenon_H313 zenon_H17 zenon_H19d zenon_H204 zenon_H15 zenon_H1a7 zenon_H13 zenon_H1fd.
% 54.76/54.95 apply (zenon_or_s _ _ zenon_H313); [ zenon_intro zenon_H16 | zenon_intro zenon_H314 ].
% 54.76/54.95 apply (zenon_L2_); trivial.
% 54.76/54.95 apply (zenon_or_s _ _ zenon_H314); [ zenon_intro zenon_H2b7 | zenon_intro zenon_H315 ].
% 54.76/54.95 elim (classic ((op1 (e11) (e11)) = (op1 (e11) (e11)))); [ zenon_intro zenon_H296 | zenon_intro zenon_H14d ].
% 54.76/54.95 cut (((op1 (e11) (e11)) = (op1 (e11) (e11))) = ((op1 (e10) (e11)) = (op1 (e11) (e11)))).
% 54.76/54.95 intro zenon_D_pnotp.
% 54.76/54.95 apply zenon_H19d.
% 54.76/54.95 rewrite <- zenon_D_pnotp.
% 54.76/54.95 exact zenon_H296.
% 54.76/54.95 cut (((op1 (e11) (e11)) = (op1 (e11) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H14d].
% 54.76/54.95 cut (((op1 (e11) (e11)) = (op1 (e10) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H487].
% 54.76/54.95 congruence.
% 54.76/54.95 cut (((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) = ((op1 (e11) (e11)) = (op1 (e10) (e11)))).
% 54.76/54.95 intro zenon_D_pnotp.
% 54.76/54.95 apply zenon_H487.
% 54.76/54.95 rewrite <- zenon_D_pnotp.
% 54.76/54.95 exact zenon_H15.
% 54.76/54.95 cut (((op1 (op1 (e11) (e11)) (op1 (e11) (e11))) = (op1 (e10) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H486].
% 54.76/54.95 cut (((e13) = (op1 (e11) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H488].
% 54.76/54.95 congruence.
% 54.76/54.95 elim (classic ((op1 (e11) (e11)) = (op1 (e11) (e11)))); [ zenon_intro zenon_H296 | zenon_intro zenon_H14d ].
% 54.76/54.95 cut (((op1 (e11) (e11)) = (op1 (e11) (e11))) = ((e13) = (op1 (e11) (e11)))).
% 54.76/54.95 intro zenon_D_pnotp.
% 54.76/54.95 apply zenon_H488.
% 54.76/54.95 rewrite <- zenon_D_pnotp.
% 54.76/54.95 exact zenon_H296.
% 54.76/54.95 cut (((op1 (e11) (e11)) = (op1 (e11) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H14d].
% 54.76/54.95 cut (((op1 (e11) (e11)) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H2b8].
% 54.76/54.95 congruence.
% 54.76/54.95 exact (zenon_H2b8 zenon_H2b7).
% 54.76/54.95 apply zenon_H14d. apply refl_equal.
% 54.76/54.95 apply zenon_H14d. apply refl_equal.
% 54.76/54.95 apply (zenon_L529_); trivial.
% 54.76/54.95 apply zenon_H14d. apply refl_equal.
% 54.76/54.95 apply zenon_H14d. apply refl_equal.
% 54.76/54.95 apply (zenon_or_s _ _ zenon_H315); [ zenon_intro zenon_H2e3 | zenon_intro zenon_H1c3 ].
% 54.76/54.95 apply (zenon_L530_); trivial.
% 54.76/54.95 apply (zenon_L531_); trivial.
% 54.76/54.95 (* end of lemma zenon_L532_ *)
% 54.76/54.95 assert (zenon_L533_ : ((~((op2 (e22) (e23)) = (e22)))\/(~((op2 (e22) (e22)) = (e23)))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e12))\/((op1 (e11) (e10)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> ((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) -> ((e12) = (op1 (op1 (op1 (e11) (e11)) (op1 (e11) (e11))) (op1 (e11) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((e10) = (e12))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e11)) = (e12))\/((op1 (e10) (e11)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (((op1 (e13) (e13)) = (e10))\/(((op1 (e13) (e13)) = (e11))\/(((op1 (e13) (e13)) = (e12))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (~((e12) = (e13))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> ((((op1 (e10) (e10)) = (e10))/\(((op1 (e10) (e10)) = (e10))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11))))/\(((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12))))/\((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))))))))\/((((op1 (e10) (e11)) = (e10))/\(((op1 (e11) (e10)) = (e10))/\(((~((op1 (e11) (e10)) = (e11)))\/(~((op1 (e11) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e11) (e12)) = (e11)))\/(~((op1 (e11) (e11)) = (e12))))/\((~((op1 (e11) (e13)) = (e11)))\/(~((op1 (e11) (e11)) = (e13)))))))))\/((((op1 (e10) (e12)) = (e10))/\(((op1 (e12) (e10)) = (e10))/\(((~((op1 (e12) (e10)) = (e12)))\/(~((op1 (e12) (e12)) = (e10))))/\(((~((op1 (e12) (e11)) = (e12)))\/(~((op1 (e12) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13)))))))))\/((((op1 (e10) (e13)) = (e10))/\(((op1 (e13) (e10)) = (e10))/\(((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e13) (e13)) = (e10))))/\(((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11))))/\(((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e13) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13)))))))))\/((((op1 (e11) (e10)) = (e11))/\(((op1 (e10) (e11)) = (e11))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11))))/\(((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12))))/\((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))))))))\/((((op1 (e11) (e11)) = (e11))/\(((op1 (e11) (e11)) = (e11))/\(((~((op1 (e11) (e10)) = (e11)))\/(~((op1 (e11) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e11) (e12)) = (e11)))\/(~((op1 (e11) (e11)) = (e12))))/\((~((op1 (e11) (e13)) = (e11)))\/(~((op1 (e11) (e11)) = (e13)))))))))\/((((op1 (e11) (e12)) = (e11))/\(((op1 (e12) (e11)) = (e11))/\(((~((op1 (e12) (e10)) = (e12)))\/(~((op1 (e12) (e12)) = (e10))))/\(((~((op1 (e12) (e11)) = (e12)))\/(~((op1 (e12) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13)))))))))\/((((op1 (e11) (e13)) = (e11))/\(((op1 (e13) (e11)) = (e11))/\(((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e13) (e13)) = (e10))))/\(((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11))))/\(((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e13) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13)))))))))\/((((op1 (e12) (e10)) = (e12))/\(((op1 (e10) (e12)) = (e12))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11))))/\(((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12))))/\((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))))))))\/((((op1 (e12) (e11)) = (e12))/\(((op1 (e11) (e12)) = (e12))/\(((~((op1 (e11) (e10)) = (e11)))\/(~((op1 (e11) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e11) (e12)) = (e11)))\/(~((op1 (e11) (e11)) = (e12))))/\((~((op1 (e11) (e13)) = (e11)))\/(~((op1 (e11) (e11)) = (e13)))))))))\/((((op1 (e12) (e12)) = (e12))/\(((op1 (e12) (e12)) = (e12))/\(((~((op1 (e12) (e10)) = (e12)))\/(~((op1 (e12) (e12)) = (e10))))/\(((~((op1 (e12) (e11)) = (e12)))\/(~((op1 (e12) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13)))))))))\/((((op1 (e12) (e13)) = (e12))/\(((op1 (e13) (e12)) = (e12))/\(((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e13) (e13)) = (e10))))/\(((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11))))/\(((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e13) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13)))))))))\/((((op1 (e13) (e10)) = (e13))/\(((op1 (e10) (e13)) = (e13))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11))))/\(((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12))))/\((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))))))))\/((((op1 (e13) (e11)) = (e13))/\(((op1 (e11) (e13)) = (e13))/\(((~((op1 (e11) (e10)) = (e11)))\/(~((op1 (e11) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e11) (e12)) = (e11)))\/(~((op1 (e11) (e11)) = (e12))))/\((~((op1 (e11) (e13)) = (e11)))\/(~((op1 (e11) (e11)) = (e13)))))))))\/((((op1 (e13) (e12)) = (e13))/\(((op1 (e12) (e13)) = (e13))/\(((~((op1 (e12) (e10)) = (e12)))\/(~((op1 (e12) (e12)) = (e10))))/\(((~((op1 (e12) (e11)) = (e12)))\/(~((op1 (e12) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13)))))))))\/(((op1 (e13) (e13)) = (e13))/\(((op1 (e13) (e13)) = (e13))/\(((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e13) (e13)) = (e10))))/\(((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11))))/\(((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e13) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13)))))))))))))))))))))))) -> ((e10) = (op1 (e11) (e11))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e20) (e21)) = (e23))\/(((op2 (e20) (e22)) = (e23))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e22)))) -> (((op2 (e21) (e20)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/((op2 (e21) (e23)) = (e23))))) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> ((op2 (e21) (op2 (e21) (e22))) = (e22)) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (((op2 (e22) (e22)) = (e20))\/(((op2 (e22) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e22)) = (e23))))) -> (~((op2 (e22) (e22)) = (e22))) -> (~((op2 (e22) (e22)) = (e21))) -> ((op2 (e22) (e20)) = (e20)) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> (~((e22) = (e23))) -> ((op2 (e22) (e21)) = (e22)) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (~((op2 (e21) (e22)) = (op2 (e21) (e23)))) -> ((op2 (e21) (op2 (e21) (e23))) = (e23)) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e21)) = (e22))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> ((e22) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> ((h2 (e10)) = (op2 (e21) (e21))) -> ((h2 (e13)) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((h2 (e12)) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> (~((h2 (op1 (e10) (e13))) = (op2 (h2 (e10)) (h2 (e13))))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e22) (e20)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e22) (e23)) = (e23))))) -> ((e20) = (op2 (e21) (e21))) -> ((e23) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (~((op2 (e21) (e21)) = (e21))) -> (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> (~((e21) = (e22))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> (((op2 (e20) (e21)) = (e20))\/(((op2 (e20) (e21)) = (e21))\/(((op2 (e20) (e21)) = (e22))\/((op2 (e20) (e21)) = (e23))))) -> (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> (((op1 (e10) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e12) (e11)) = (e13))))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e12) (e13)) = (e10))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> ((((op1 (e10) (op1 (e10) (e10))) = (e10))/\(((op1 (e10) (op1 (e10) (e11))) = (e11))/\(((op1 (e10) (op1 (e10) (e12))) = (e12))/\(((op1 (e10) (op1 (e10) (e13))) = (e13))/\(((~((op1 (e10) (e10)) = (e10)))\/((op1 (e10) (e10)) = (e10)))/\(((~((op1 (e11) (e11)) = (e10)))\/((op1 (e11) (e10)) = (e11)))/\(((~((op1 (e12) (e12)) = (e10)))\/((op1 (e12) (e10)) = (e12)))/\((~((op1 (e13) (e13)) = (e10)))\/((op1 (e13) (e10)) = (e13))))))))))\/((((op1 (e11) (op1 (e11) (e10))) = (e10))/\(((op1 (e11) (op1 (e11) (e11))) = (e11))/\(((op1 (e11) (op1 (e11) (e12))) = (e12))/\(((op1 (e11) (op1 (e11) (e13))) = (e13))/\(((~((op1 (e10) (e10)) = (e11)))\/((op1 (e10) (e11)) = (e10)))/\(((~((op1 (e11) (e11)) = (e11)))\/((op1 (e11) (e11)) = (e11)))/\(((~((op1 (e12) (e12)) = (e11)))\/((op1 (e12) (e11)) = (e12)))/\((~((op1 (e13) (e13)) = (e11)))\/((op1 (e13) (e11)) = (e13))))))))))\/((((op1 (e12) (op1 (e12) (e10))) = (e10))/\(((op1 (e12) (op1 (e12) (e11))) = (e11))/\(((op1 (e12) (op1 (e12) (e12))) = (e12))/\(((op1 (e12) (op1 (e12) (e13))) = (e13))/\(((~((op1 (e10) (e10)) = (e12)))\/((op1 (e10) (e12)) = (e10)))/\(((~((op1 (e11) (e11)) = (e12)))\/((op1 (e11) (e12)) = (e11)))/\(((~((op1 (e12) (e12)) = (e12)))\/((op1 (e12) (e12)) = (e12)))/\((~((op1 (e13) (e13)) = (e12)))\/((op1 (e13) (e12)) = (e13))))))))))\/(((op1 (e13) (op1 (e13) (e10))) = (e10))/\(((op1 (e13) (op1 (e13) (e11))) = (e11))/\(((op1 (e13) (op1 (e13) (e12))) = (e12))/\(((op1 (e13) (op1 (e13) (e13))) = (e13))/\(((~((op1 (e10) (e10)) = (e13)))\/((op1 (e10) (e13)) = (e10)))/\(((~((op1 (e11) (e11)) = (e13)))\/((op1 (e11) (e13)) = (e11)))/\(((~((op1 (e12) (e12)) = (e13)))\/((op1 (e12) (e13)) = (e12)))/\((~((op1 (e13) (e13)) = (e13)))\/((op1 (e13) (e13)) = (e13))))))))))))) -> False).
% 54.76/54.95 do 0 intro. intros zenon_Hdf zenon_H15f zenon_H15a zenon_H15 zenon_H155 zenon_H154 zenon_H14b zenon_H186 zenon_H180 zenon_H179 zenon_H172 zenon_H16c zenon_H18a zenon_H18e zenon_H192 zenon_H246 zenon_H19d zenon_H1a0 zenon_H25 zenon_H1e zenon_H17 zenon_H1a9 zenon_H209 zenon_H206 zenon_H204 zenon_H1fd zenon_H1fa zenon_H1f7 zenon_H1f4 zenon_H1ed zenon_H1e8 zenon_H1da zenon_H1d8 zenon_H1cc zenon_H1de zenon_H1b1 zenon_H1be zenon_H20c zenon_H21a zenon_H236 zenon_H23b zenon_H245 zenon_H13 zenon_H485 zenon_H328 zenon_Ha5 zenon_H98 zenon_H399 zenon_H394 zenon_H481 zenon_H3a8 zenon_H100 zenon_Hd7 zenon_H101 zenon_H121 zenon_H37d zenon_H11f zenon_Hec zenon_Hd3 zenon_H47e zenon_H6e zenon_H9f zenon_H47a zenon_H395 zenon_H47c zenon_H3b1 zenon_H3af zenon_H60 zenon_H282 zenon_H39d zenon_H3b4 zenon_H474 zenon_H313 zenon_H2b1 zenon_H2a5 zenon_H2a3 zenon_H2c2 zenon_H32e zenon_H3f zenon_H26c zenon_H461 zenon_H44f zenon_H463 zenon_H2c0 zenon_H358 zenon_H2e7 zenon_H30e zenon_H2b9 zenon_H301 zenon_H2f8 zenon_H360 zenon_H316 zenon_H32b zenon_H2ad zenon_H116 zenon_H3f1 zenon_H33 zenon_H3b zenon_H45 zenon_H28d zenon_Hf1 zenon_H27e zenon_Hb0 zenon_H8d zenon_H286 zenon_H93 zenon_H289 zenon_H28c zenon_H2fd zenon_H2fb zenon_H2f6 zenon_H325 zenon_H322 zenon_H321 zenon_H30b zenon_H2ea zenon_H2e2 zenon_H2e6 zenon_H2d9 zenon_H2c9 zenon_H2d1 zenon_H35d zenon_H345 zenon_H355 zenon_H36e.
% 54.76/54.95 apply (zenon_or_s _ _ zenon_Hdf); [ zenon_intro zenon_H281 | zenon_intro zenon_H37f ].
% 54.76/54.95 apply (zenon_or_s _ _ zenon_H36e); [ zenon_intro zenon_H244 | zenon_intro zenon_H36f ].
% 54.76/54.95 apply (zenon_L126_); trivial.
% 54.76/54.95 apply (zenon_or_s _ _ zenon_H36f); [ zenon_intro zenon_H371 | zenon_intro zenon_H370 ].
% 54.76/54.95 apply (zenon_and_s _ _ zenon_H371). zenon_intro zenon_H292. zenon_intro zenon_H372.
% 54.76/54.95 apply (zenon_and_s _ _ zenon_H372). zenon_intro zenon_H2a6. zenon_intro zenon_H373.
% 54.76/54.95 apply (zenon_and_s _ _ zenon_H373). zenon_intro zenon_H375. zenon_intro zenon_H374.
% 54.76/54.95 apply (zenon_and_s _ _ zenon_H374). zenon_intro zenon_H29e. zenon_intro zenon_H376.
% 54.76/54.95 apply (zenon_and_s _ _ zenon_H376). zenon_intro zenon_H378. zenon_intro zenon_H377.
% 54.76/54.95 apply (zenon_and_s _ _ zenon_H377). zenon_intro zenon_H37a. zenon_intro zenon_H379.
% 54.76/54.95 apply (zenon_and_s _ _ zenon_H379). zenon_intro zenon_H37c. zenon_intro zenon_H37b.
% 54.76/54.95 apply (zenon_or_s _ _ zenon_H37a); [ zenon_intro zenon_H473 | zenon_intro zenon_H1a7 ].
% 54.76/54.95 apply (zenon_or_s _ _ zenon_H37c); [ zenon_intro zenon_H23f | zenon_intro zenon_H202 ].
% 54.76/54.95 apply (zenon_or_s _ _ zenon_H37b); [ zenon_intro zenon_H20d | zenon_intro zenon_H1c3 ].
% 54.76/54.95 apply (zenon_or_s _ _ zenon_H245); [ zenon_intro zenon_H147 | zenon_intro zenon_H254 ].
% 54.76/54.95 apply (zenon_L60_); trivial.
% 54.76/54.95 apply (zenon_or_s _ _ zenon_H254); [ zenon_intro zenon_H164 | zenon_intro zenon_H255 ].
% 54.76/54.95 apply (zenon_L66_); trivial.
% 54.76/54.95 apply (zenon_or_s _ _ zenon_H255); [ zenon_intro zenon_H197 | zenon_intro zenon_H256 ].
% 54.76/54.95 apply (zenon_L523_); trivial.
% 54.76/54.95 apply (zenon_or_s _ _ zenon_H256); [ zenon_intro zenon_H199 | zenon_intro zenon_H257 ].
% 54.76/54.95 apply (zenon_L77_); trivial.
% 54.76/54.95 apply (zenon_or_s _ _ zenon_H257); [ zenon_intro zenon_H259 | zenon_intro zenon_H258 ].
% 54.76/54.95 apply (zenon_L527_); trivial.
% 54.76/54.95 apply (zenon_or_s _ _ zenon_H258); [ zenon_intro zenon_H1a5 | zenon_intro zenon_H262 ].
% 54.76/54.95 apply (zenon_L80_); trivial.
% 54.76/54.95 apply (zenon_or_s _ _ zenon_H262); [ zenon_intro zenon_H1ae | zenon_intro zenon_H263 ].
% 54.76/54.95 apply (zenon_L83_); trivial.
% 54.76/54.95 apply (zenon_or_s _ _ zenon_H263); [ zenon_intro zenon_H212 | zenon_intro zenon_H264 ].
% 54.76/54.95 apply (zenon_L161_); trivial.
% 54.76/54.95 apply (zenon_or_s _ _ zenon_H264); [ zenon_intro zenon_H220 | zenon_intro zenon_H265 ].
% 54.76/54.95 apply (zenon_L110_); trivial.
% 54.76/54.95 apply (zenon_or_s _ _ zenon_H265); [ zenon_intro zenon_H222 | zenon_intro zenon_H266 ].
% 54.76/54.95 apply (zenon_L111_); trivial.
% 54.76/54.95 apply (zenon_or_s _ _ zenon_H266); [ zenon_intro zenon_H225 | zenon_intro zenon_H267 ].
% 54.76/54.95 apply (zenon_L113_); trivial.
% 54.76/54.95 apply (zenon_or_s _ _ zenon_H267); [ zenon_intro zenon_H22d | zenon_intro zenon_H268 ].
% 54.76/54.95 apply (zenon_L114_); trivial.
% 54.76/54.95 apply (zenon_or_s _ _ zenon_H268); [ zenon_intro zenon_H230 | zenon_intro zenon_H269 ].
% 54.76/54.95 apply (zenon_L115_); trivial.
% 54.76/54.95 apply (zenon_or_s _ _ zenon_H269); [ zenon_intro zenon_H232 | zenon_intro zenon_H26a ].
% 54.76/54.95 apply (zenon_L116_); trivial.
% 54.76/54.95 apply (zenon_or_s _ _ zenon_H26a); [ zenon_intro zenon_H240 | zenon_intro zenon_H242 ].
% 54.76/54.95 apply (zenon_L166_); trivial.
% 54.76/54.95 apply (zenon_L125_); trivial.
% 54.76/54.95 apply (zenon_or_s _ _ zenon_H245); [ zenon_intro zenon_H147 | zenon_intro zenon_H254 ].
% 54.76/54.95 apply (zenon_L60_); trivial.
% 54.76/54.95 apply (zenon_or_s _ _ zenon_H254); [ zenon_intro zenon_H164 | zenon_intro zenon_H255 ].
% 54.76/54.95 apply (zenon_L66_); trivial.
% 54.76/54.95 apply (zenon_or_s _ _ zenon_H255); [ zenon_intro zenon_H197 | zenon_intro zenon_H256 ].
% 54.76/54.95 apply (zenon_L523_); trivial.
% 54.76/54.95 apply (zenon_or_s _ _ zenon_H256); [ zenon_intro zenon_H199 | zenon_intro zenon_H257 ].
% 54.76/54.95 apply (zenon_L77_); trivial.
% 54.76/54.95 apply (zenon_or_s _ _ zenon_H257); [ zenon_intro zenon_H259 | zenon_intro zenon_H258 ].
% 54.76/54.95 apply (zenon_L527_); trivial.
% 54.76/54.95 apply (zenon_or_s _ _ zenon_H258); [ zenon_intro zenon_H1a5 | zenon_intro zenon_H262 ].
% 54.76/54.95 apply (zenon_L80_); trivial.
% 54.76/54.95 apply (zenon_or_s _ _ zenon_H262); [ zenon_intro zenon_H1ae | zenon_intro zenon_H263 ].
% 54.76/54.95 apply (zenon_L83_); trivial.
% 54.76/54.95 apply (zenon_or_s _ _ zenon_H263); [ zenon_intro zenon_H212 | zenon_intro zenon_H264 ].
% 54.76/54.95 apply (zenon_L167_); trivial.
% 54.76/54.95 apply (zenon_or_s _ _ zenon_H264); [ zenon_intro zenon_H220 | zenon_intro zenon_H265 ].
% 54.76/54.95 apply (zenon_L110_); trivial.
% 54.76/54.95 apply (zenon_or_s _ _ zenon_H265); [ zenon_intro zenon_H222 | zenon_intro zenon_H266 ].
% 54.76/54.95 apply (zenon_L111_); trivial.
% 54.76/54.95 apply (zenon_or_s _ _ zenon_H266); [ zenon_intro zenon_H225 | zenon_intro zenon_H267 ].
% 54.76/54.95 apply (zenon_L113_); trivial.
% 54.76/54.95 apply (zenon_or_s _ _ zenon_H267); [ zenon_intro zenon_H22d | zenon_intro zenon_H268 ].
% 54.76/54.95 apply (zenon_L114_); trivial.
% 54.76/54.95 apply (zenon_or_s _ _ zenon_H268); [ zenon_intro zenon_H230 | zenon_intro zenon_H269 ].
% 54.76/54.95 apply (zenon_L115_); trivial.
% 54.76/54.95 apply (zenon_or_s _ _ zenon_H269); [ zenon_intro zenon_H232 | zenon_intro zenon_H26a ].
% 54.76/54.95 apply (zenon_L116_); trivial.
% 54.76/54.95 apply (zenon_or_s _ _ zenon_H26a); [ zenon_intro zenon_H240 | zenon_intro zenon_H242 ].
% 54.76/54.95 apply (zenon_L166_); trivial.
% 54.76/54.95 apply (zenon_L125_); trivial.
% 54.76/54.95 apply (zenon_or_s _ _ zenon_H245); [ zenon_intro zenon_H147 | zenon_intro zenon_H254 ].
% 54.76/54.95 apply (zenon_L60_); trivial.
% 54.76/54.95 apply (zenon_or_s _ _ zenon_H254); [ zenon_intro zenon_H164 | zenon_intro zenon_H255 ].
% 54.76/54.95 apply (zenon_L66_); trivial.
% 54.76/54.95 apply (zenon_or_s _ _ zenon_H255); [ zenon_intro zenon_H197 | zenon_intro zenon_H256 ].
% 54.76/54.95 apply (zenon_L528_); trivial.
% 54.76/54.95 apply (zenon_or_s _ _ zenon_H256); [ zenon_intro zenon_H199 | zenon_intro zenon_H257 ].
% 54.76/54.95 apply (zenon_L77_); trivial.
% 54.76/54.95 apply (zenon_or_s _ _ zenon_H257); [ zenon_intro zenon_H259 | zenon_intro zenon_H258 ].
% 54.76/54.95 apply (zenon_L527_); trivial.
% 54.76/54.95 apply (zenon_or_s _ _ zenon_H258); [ zenon_intro zenon_H1a5 | zenon_intro zenon_H262 ].
% 54.76/54.95 apply (zenon_L80_); trivial.
% 54.76/54.95 apply (zenon_or_s _ _ zenon_H262); [ zenon_intro zenon_H1ae | zenon_intro zenon_H263 ].
% 54.76/54.95 apply (zenon_L83_); trivial.
% 54.76/54.95 apply (zenon_or_s _ _ zenon_H263); [ zenon_intro zenon_H212 | zenon_intro zenon_H264 ].
% 54.76/54.95 apply (zenon_L169_); trivial.
% 54.76/54.95 apply (zenon_or_s _ _ zenon_H264); [ zenon_intro zenon_H220 | zenon_intro zenon_H265 ].
% 54.76/54.95 apply (zenon_L110_); trivial.
% 54.76/54.95 apply (zenon_or_s _ _ zenon_H265); [ zenon_intro zenon_H222 | zenon_intro zenon_H266 ].
% 54.76/54.95 apply (zenon_L111_); trivial.
% 54.76/54.95 apply (zenon_or_s _ _ zenon_H266); [ zenon_intro zenon_H225 | zenon_intro zenon_H267 ].
% 54.76/54.95 apply (zenon_L113_); trivial.
% 54.76/54.95 apply (zenon_or_s _ _ zenon_H267); [ zenon_intro zenon_H22d | zenon_intro zenon_H268 ].
% 54.76/54.95 apply (zenon_L114_); trivial.
% 54.76/54.95 apply (zenon_or_s _ _ zenon_H268); [ zenon_intro zenon_H230 | zenon_intro zenon_H269 ].
% 54.76/54.95 apply (zenon_L115_); trivial.
% 54.76/54.95 apply (zenon_or_s _ _ zenon_H269); [ zenon_intro zenon_H232 | zenon_intro zenon_H26a ].
% 54.76/54.95 apply (zenon_L116_); trivial.
% 54.76/54.95 apply (zenon_or_s _ _ zenon_H26a); [ zenon_intro zenon_H240 | zenon_intro zenon_H242 ].
% 54.76/54.95 apply (zenon_L166_); trivial.
% 54.76/54.95 apply (zenon_L125_); trivial.
% 54.76/54.95 apply (zenon_L532_); trivial.
% 54.76/54.95 apply (zenon_or_s _ _ zenon_H370); [ zenon_intro zenon_H335 | zenon_intro zenon_H363 ].
% 54.76/54.95 apply (zenon_L260_); trivial.
% 54.76/54.95 apply (zenon_L307_); trivial.
% 54.76/54.95 apply (zenon_L310_); trivial.
% 54.76/54.95 (* end of lemma zenon_L533_ *)
% 54.76/54.95 assert (zenon_L534_ : (((op2 (e20) (e22)) = (e20))/\(((op2 (e22) (e20)) = (e20))/\(((~((op2 (e22) (e20)) = (e22)))\/(~((op2 (e22) (e22)) = (e20))))/\(((~((op2 (e22) (e21)) = (e22)))\/(~((op2 (e22) (e22)) = (e21))))/\(((~((op2 (e22) (e22)) = (e22)))\/(~((op2 (e22) (e22)) = (e22))))/\((~((op2 (e22) (e23)) = (e22)))\/(~((op2 (e22) (e22)) = (e23))))))))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e12))\/((op1 (e11) (e10)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> ((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) -> ((e12) = (op1 (op1 (op1 (e11) (e11)) (op1 (e11) (e11))) (op1 (e11) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((e10) = (e12))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e11)) = (e12))\/((op1 (e10) (e11)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (((op1 (e13) (e13)) = (e10))\/(((op1 (e13) (e13)) = (e11))\/(((op1 (e13) (e13)) = (e12))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (~((e12) = (e13))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> ((((op1 (e10) (e10)) = (e10))/\(((op1 (e10) (e10)) = (e10))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11))))/\(((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12))))/\((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))))))))\/((((op1 (e10) (e11)) = (e10))/\(((op1 (e11) (e10)) = (e10))/\(((~((op1 (e11) (e10)) = (e11)))\/(~((op1 (e11) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e11) (e12)) = (e11)))\/(~((op1 (e11) (e11)) = (e12))))/\((~((op1 (e11) (e13)) = (e11)))\/(~((op1 (e11) (e11)) = (e13)))))))))\/((((op1 (e10) (e12)) = (e10))/\(((op1 (e12) (e10)) = (e10))/\(((~((op1 (e12) (e10)) = (e12)))\/(~((op1 (e12) (e12)) = (e10))))/\(((~((op1 (e12) (e11)) = (e12)))\/(~((op1 (e12) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13)))))))))\/((((op1 (e10) (e13)) = (e10))/\(((op1 (e13) (e10)) = (e10))/\(((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e13) (e13)) = (e10))))/\(((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11))))/\(((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e13) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13)))))))))\/((((op1 (e11) (e10)) = (e11))/\(((op1 (e10) (e11)) = (e11))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11))))/\(((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12))))/\((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))))))))\/((((op1 (e11) (e11)) = (e11))/\(((op1 (e11) (e11)) = (e11))/\(((~((op1 (e11) (e10)) = (e11)))\/(~((op1 (e11) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e11) (e12)) = (e11)))\/(~((op1 (e11) (e11)) = (e12))))/\((~((op1 (e11) (e13)) = (e11)))\/(~((op1 (e11) (e11)) = (e13)))))))))\/((((op1 (e11) (e12)) = (e11))/\(((op1 (e12) (e11)) = (e11))/\(((~((op1 (e12) (e10)) = (e12)))\/(~((op1 (e12) (e12)) = (e10))))/\(((~((op1 (e12) (e11)) = (e12)))\/(~((op1 (e12) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13)))))))))\/((((op1 (e11) (e13)) = (e11))/\(((op1 (e13) (e11)) = (e11))/\(((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e13) (e13)) = (e10))))/\(((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11))))/\(((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e13) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13)))))))))\/((((op1 (e12) (e10)) = (e12))/\(((op1 (e10) (e12)) = (e12))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11))))/\(((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12))))/\((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))))))))\/((((op1 (e12) (e11)) = (e12))/\(((op1 (e11) (e12)) = (e12))/\(((~((op1 (e11) (e10)) = (e11)))\/(~((op1 (e11) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e11) (e12)) = (e11)))\/(~((op1 (e11) (e11)) = (e12))))/\((~((op1 (e11) (e13)) = (e11)))\/(~((op1 (e11) (e11)) = (e13)))))))))\/((((op1 (e12) (e12)) = (e12))/\(((op1 (e12) (e12)) = (e12))/\(((~((op1 (e12) (e10)) = (e12)))\/(~((op1 (e12) (e12)) = (e10))))/\(((~((op1 (e12) (e11)) = (e12)))\/(~((op1 (e12) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13)))))))))\/((((op1 (e12) (e13)) = (e12))/\(((op1 (e13) (e12)) = (e12))/\(((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e13) (e13)) = (e10))))/\(((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11))))/\(((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e13) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13)))))))))\/((((op1 (e13) (e10)) = (e13))/\(((op1 (e10) (e13)) = (e13))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11))))/\(((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12))))/\((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))))))))\/((((op1 (e13) (e11)) = (e13))/\(((op1 (e11) (e13)) = (e13))/\(((~((op1 (e11) (e10)) = (e11)))\/(~((op1 (e11) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e11) (e12)) = (e11)))\/(~((op1 (e11) (e11)) = (e12))))/\((~((op1 (e11) (e13)) = (e11)))\/(~((op1 (e11) (e11)) = (e13)))))))))\/((((op1 (e13) (e12)) = (e13))/\(((op1 (e12) (e13)) = (e13))/\(((~((op1 (e12) (e10)) = (e12)))\/(~((op1 (e12) (e12)) = (e10))))/\(((~((op1 (e12) (e11)) = (e12)))\/(~((op1 (e12) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13)))))))))\/(((op1 (e13) (e13)) = (e13))/\(((op1 (e13) (e13)) = (e13))/\(((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e13) (e13)) = (e10))))/\(((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11))))/\(((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e13) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13)))))))))))))))))))))))) -> ((e10) = (op1 (e11) (e11))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e20) (e21)) = (e23))\/(((op2 (e20) (e22)) = (e23))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e22)))) -> (((op2 (e21) (e20)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/((op2 (e21) (e23)) = (e23))))) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> ((op2 (e21) (op2 (e21) (e22))) = (e22)) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (((op2 (e22) (e22)) = (e20))\/(((op2 (e22) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e22)) = (e23))))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> (~((e22) = (e23))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (~((op2 (e21) (e22)) = (op2 (e21) (e23)))) -> ((op2 (e21) (op2 (e21) (e23))) = (e23)) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e21)) = (e22))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> ((e22) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> ((h2 (e10)) = (op2 (e21) (e21))) -> ((h2 (e13)) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((h2 (e12)) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> (~((h2 (op1 (e10) (e13))) = (op2 (h2 (e10)) (h2 (e13))))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e22) (e20)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e22) (e23)) = (e23))))) -> ((e20) = (op2 (e21) (e21))) -> ((e23) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (~((op2 (e21) (e21)) = (e21))) -> (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> (~((e21) = (e22))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> (((op2 (e20) (e21)) = (e20))\/(((op2 (e20) (e21)) = (e21))\/(((op2 (e20) (e21)) = (e22))\/((op2 (e20) (e21)) = (e23))))) -> (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> (((op1 (e10) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e12) (e11)) = (e13))))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e12) (e13)) = (e10))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> ((((op1 (e10) (op1 (e10) (e10))) = (e10))/\(((op1 (e10) (op1 (e10) (e11))) = (e11))/\(((op1 (e10) (op1 (e10) (e12))) = (e12))/\(((op1 (e10) (op1 (e10) (e13))) = (e13))/\(((~((op1 (e10) (e10)) = (e10)))\/((op1 (e10) (e10)) = (e10)))/\(((~((op1 (e11) (e11)) = (e10)))\/((op1 (e11) (e10)) = (e11)))/\(((~((op1 (e12) (e12)) = (e10)))\/((op1 (e12) (e10)) = (e12)))/\((~((op1 (e13) (e13)) = (e10)))\/((op1 (e13) (e10)) = (e13))))))))))\/((((op1 (e11) (op1 (e11) (e10))) = (e10))/\(((op1 (e11) (op1 (e11) (e11))) = (e11))/\(((op1 (e11) (op1 (e11) (e12))) = (e12))/\(((op1 (e11) (op1 (e11) (e13))) = (e13))/\(((~((op1 (e10) (e10)) = (e11)))\/((op1 (e10) (e11)) = (e10)))/\(((~((op1 (e11) (e11)) = (e11)))\/((op1 (e11) (e11)) = (e11)))/\(((~((op1 (e12) (e12)) = (e11)))\/((op1 (e12) (e11)) = (e12)))/\((~((op1 (e13) (e13)) = (e11)))\/((op1 (e13) (e11)) = (e13))))))))))\/((((op1 (e12) (op1 (e12) (e10))) = (e10))/\(((op1 (e12) (op1 (e12) (e11))) = (e11))/\(((op1 (e12) (op1 (e12) (e12))) = (e12))/\(((op1 (e12) (op1 (e12) (e13))) = (e13))/\(((~((op1 (e10) (e10)) = (e12)))\/((op1 (e10) (e12)) = (e10)))/\(((~((op1 (e11) (e11)) = (e12)))\/((op1 (e11) (e12)) = (e11)))/\(((~((op1 (e12) (e12)) = (e12)))\/((op1 (e12) (e12)) = (e12)))/\((~((op1 (e13) (e13)) = (e12)))\/((op1 (e13) (e12)) = (e13))))))))))\/(((op1 (e13) (op1 (e13) (e10))) = (e10))/\(((op1 (e13) (op1 (e13) (e11))) = (e11))/\(((op1 (e13) (op1 (e13) (e12))) = (e12))/\(((op1 (e13) (op1 (e13) (e13))) = (e13))/\(((~((op1 (e10) (e10)) = (e13)))\/((op1 (e10) (e13)) = (e10)))/\(((~((op1 (e11) (e11)) = (e13)))\/((op1 (e11) (e13)) = (e11)))/\(((~((op1 (e12) (e12)) = (e13)))\/((op1 (e12) (e13)) = (e12)))/\((~((op1 (e13) (e13)) = (e13)))\/((op1 (e13) (e13)) = (e13))))))))))))) -> ((op2 (e22) (e21)) = (e22)) -> False).
% 54.76/54.95 do 0 intro. intros zenon_H77 zenon_H15f zenon_H15a zenon_H15 zenon_H155 zenon_H154 zenon_H14b zenon_H186 zenon_H180 zenon_H179 zenon_H172 zenon_H16c zenon_H18a zenon_H18e zenon_H192 zenon_H246 zenon_H19d zenon_H1a0 zenon_H25 zenon_H1e zenon_H17 zenon_H1a9 zenon_H209 zenon_H206 zenon_H204 zenon_H1fd zenon_H1fa zenon_H1f7 zenon_H1f4 zenon_H1ed zenon_H1e8 zenon_H1da zenon_H1d8 zenon_H1cc zenon_H1de zenon_H1b1 zenon_H1be zenon_H20c zenon_H21a zenon_H236 zenon_H23b zenon_H245 zenon_H13 zenon_H485 zenon_H328 zenon_Ha5 zenon_H98 zenon_H399 zenon_H394 zenon_H481 zenon_H3a8 zenon_H100 zenon_H37d zenon_H11f zenon_Hec zenon_H47e zenon_H6e zenon_H9f zenon_H47a zenon_H395 zenon_H47c zenon_H3b1 zenon_H3af zenon_H60 zenon_H282 zenon_H39d zenon_H3b4 zenon_H474 zenon_H313 zenon_H2b1 zenon_H2a5 zenon_H2a3 zenon_H2c2 zenon_H32e zenon_H3f zenon_H26c zenon_H461 zenon_H44f zenon_H463 zenon_H2c0 zenon_H358 zenon_H2e7 zenon_H30e zenon_H2b9 zenon_H301 zenon_H2f8 zenon_H360 zenon_H316 zenon_H32b zenon_H2ad zenon_H116 zenon_H3f1 zenon_H33 zenon_H3b zenon_H45 zenon_H28d zenon_Hf1 zenon_H27e zenon_Hb0 zenon_H8d zenon_H286 zenon_H93 zenon_H289 zenon_H28c zenon_H2fd zenon_H2fb zenon_H2f6 zenon_H325 zenon_H322 zenon_H321 zenon_H30b zenon_H2ea zenon_H2e2 zenon_H2e6 zenon_H2d9 zenon_H2c9 zenon_H2d1 zenon_H35d zenon_H345 zenon_H355 zenon_H36e zenon_Hd3.
% 54.76/54.95 apply (zenon_and_s _ _ zenon_H77). zenon_intro zenon_H57. zenon_intro zenon_H78.
% 54.76/54.95 apply (zenon_and_s _ _ zenon_H78). zenon_intro zenon_H121. zenon_intro zenon_Hda.
% 54.76/54.95 apply (zenon_and_s _ _ zenon_Hda). zenon_intro zenon_Hdc. zenon_intro zenon_Hdb.
% 54.76/54.95 apply (zenon_and_s _ _ zenon_Hdb). zenon_intro zenon_Hde. zenon_intro zenon_Hdd.
% 54.76/54.95 apply (zenon_and_s _ _ zenon_Hdd). zenon_intro zenon_Hd5. zenon_intro zenon_Hdf.
% 54.76/54.95 apply (zenon_or_s _ _ zenon_Hde); [ zenon_intro zenon_Hf2 | zenon_intro zenon_H101 ].
% 54.76/54.95 exact (zenon_Hf2 zenon_Hd3).
% 54.76/54.95 apply (zenon_or_s _ _ zenon_Hd5); [ zenon_intro zenon_Hd7 | zenon_intro zenon_Hd7 ].
% 54.76/54.95 apply (zenon_L533_); trivial.
% 54.76/54.95 apply (zenon_L533_); trivial.
% 54.76/54.95 (* end of lemma zenon_L534_ *)
% 54.76/54.95 assert (zenon_L535_ : (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (e20))) -> ((op2 (e20) (e21)) = (e21)) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> ((e10) = (op1 (e11) (e11))) -> ((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> ((op1 (e10) (e12)) = (e10)) -> ((op1 (e12) (e10)) = (e10)) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((h2 (op1 (e10) (e13))) = (op2 (h2 (e10)) (h2 (e13))))) -> ((h2 (e12)) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> ((e22) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> ((h2 (e10)) = (op2 (e21) (e21))) -> ((h2 (e13)) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e11) (e11)) = (e11))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> ((op1 (e11) (op1 (e11) (e12))) = (e12)) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e12))\/((op1 (e11) (e10)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> ((op1 (e11) (op1 (e11) (e11))) = (e11)) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> ((op1 (e11) (op1 (e11) (e10))) = (e10)) -> (~((op1 (e12) (e12)) = (e11))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e12) (e12)) = (e12))) -> (~((op1 (e12) (e13)) = (e12))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (((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) (e11)) = (op1 (e11) (e11)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> ((op1 (e11) (op1 (e11) (e13))) = (e13)) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((e12) = (e13))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> ((e12) = (op1 (op1 (op1 (e11) (e11)) (op1 (e11) (e11))) (op1 (e11) (e11)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> ((e23) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((e20) = (op2 (e21) (e21))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> False).
% 54.76/54.95 do 0 intro. intros zenon_H489 zenon_Had zenon_Hb9 zenon_H3c2 zenon_H25 zenon_H13 zenon_H15 zenon_H1e zenon_H17 zenon_H474 zenon_H18f zenon_H293 zenon_H1de zenon_H463 zenon_H44f zenon_H3f zenon_H26c zenon_H461 zenon_H2c0 zenon_H473 zenon_H1a9 zenon_H1fa zenon_H1ed zenon_H375 zenon_H32e zenon_H1be zenon_H1b1 zenon_H15f zenon_H14b zenon_H2a5 zenon_H2a6 zenon_H1da zenon_H2a3 zenon_H292 zenon_H23f zenon_H1d8 zenon_H2b1 zenon_H154 zenon_H209 zenon_H23b zenon_H21a zenon_H1d1 zenon_H27d zenon_H30e zenon_H358 zenon_H32b zenon_H206 zenon_H19d zenon_H360 zenon_H2f8 zenon_H1fd zenon_H301 zenon_H316 zenon_H186 zenon_H204 zenon_H179 zenon_H180 zenon_H15a zenon_H2c2 zenon_H29e zenon_H18a zenon_H236 zenon_H2e7 zenon_H2ad zenon_H1cc zenon_H2b9 zenon_H313 zenon_H155 zenon_H172 zenon_H1a0 zenon_H3b zenon_H33 zenon_H9f.
% 54.76/54.95 apply (zenon_or_s _ _ zenon_H489); [ zenon_intro zenon_H8b | zenon_intro zenon_H48a ].
% 54.76/54.95 exact (zenon_Had zenon_H8b).
% 54.76/54.95 apply (zenon_or_s _ _ zenon_H48a); [ zenon_intro zenon_H3c3 | zenon_intro zenon_H48b ].
% 54.76/54.95 apply (zenon_L352_); trivial.
% 54.76/54.95 apply (zenon_or_s _ _ zenon_H48b); [ zenon_intro zenon_H464 | zenon_intro zenon_H9e ].
% 54.76/54.95 apply (zenon_L510_); trivial.
% 54.76/54.95 apply (zenon_L27_); trivial.
% 54.76/54.95 (* end of lemma zenon_L535_ *)
% 54.76/54.95 assert (zenon_L536_ : ((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13)))) -> (~((op2 (e20) (e23)) = (e20))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> ((op2 (e20) (e21)) = (e21)) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> ((op1 (e11) (op1 (e11) (e10))) = (e10)) -> ((op1 (e12) (e10)) = (e10)) -> ((op1 (e10) (e12)) = (e10)) -> (~((op1 (e12) (e12)) = (e11))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> ((op1 (e11) (op1 (e11) (e12))) = (e12)) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((e12) = (e13))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> ((op1 (e11) (op1 (e11) (e13))) = (e13)) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e12) (e12)) = (e12))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e11)) = (e12))\/((op1 (e10) (e11)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (~((h2 (op1 (e10) (e13))) = (op2 (h2 (e10)) (h2 (e13))))) -> ((h2 (e12)) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> ((e23) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((h2 (e13)) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((e20) = (op2 (e21) (e21))) -> ((h2 (e10)) = (op2 (e21) (e21))) -> ((e22) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> ((e10) = (op1 (e11) (e11))) -> ((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) -> ((e12) = (op1 (op1 (op1 (e11) (e11)) (op1 (e11) (e11))) (op1 (e11) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e11) (e11)) = (e11))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e12))\/((op1 (e11) (e10)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> ((op1 (e11) (op1 (e11) (e11))) = (e11)) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> False).
% 54.76/54.95 do 0 intro. intros zenon_H22c zenon_Had zenon_H3c2 zenon_Hb9 zenon_H1a0 zenon_H1e zenon_H1fa zenon_H1de zenon_H292 zenon_H293 zenon_H18f zenon_H23f zenon_H1da zenon_H375 zenon_H1ed zenon_H15a zenon_H2ad zenon_H236 zenon_H32b zenon_H19d zenon_H316 zenon_H360 zenon_H1cc zenon_H18a zenon_H1fd zenon_H172 zenon_H29e zenon_H2f8 zenon_H301 zenon_H23b zenon_H1d1 zenon_H204 zenon_H179 zenon_H180 zenon_H186 zenon_H17 zenon_H206 zenon_H2b9 zenon_H30e zenon_H25 zenon_H2e7 zenon_H21a zenon_H358 zenon_H2c0 zenon_H463 zenon_H44f zenon_H3b zenon_H461 zenon_H33 zenon_H26c zenon_H3f zenon_H32e zenon_H2c2 zenon_H13 zenon_H15 zenon_H155 zenon_H154 zenon_H473 zenon_H15f zenon_H1a9 zenon_H14b zenon_H209 zenon_H1be zenon_H1d8 zenon_H2a3 zenon_H2a5 zenon_H2a6 zenon_H2b1 zenon_H1b1 zenon_H313 zenon_H474 zenon_H9f zenon_H489.
% 54.76/54.95 apply (zenon_or_s _ _ zenon_H22c); [ zenon_intro zenon_H27d | zenon_intro zenon_H29d ].
% 54.76/54.95 apply (zenon_L535_); trivial.
% 54.76/54.95 apply (zenon_L144_); trivial.
% 54.76/54.95 (* end of lemma zenon_L536_ *)
% 54.76/54.95 assert (zenon_L537_ : (((op1 (e10) (e12)) = (e10))/\(((op1 (e12) (e10)) = (e10))/\(((~((op1 (e12) (e10)) = (e12)))\/(~((op1 (e12) (e12)) = (e10))))/\(((~((op1 (e12) (e11)) = (e12)))\/(~((op1 (e12) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13))))))))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> ((op1 (e11) (op1 (e11) (e11))) = (e11)) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e12))\/((op1 (e11) (e10)) = (e13))))) -> (~((op1 (e11) (e11)) = (e11))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> ((e12) = (op1 (op1 (op1 (e11) (e11)) (op1 (e11) (e11))) (op1 (e11) (e11)))) -> ((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) -> ((e10) = (op1 (e11) (e11))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> ((e22) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> ((h2 (e10)) = (op2 (e21) (e21))) -> ((e20) = (op2 (e21) (e21))) -> ((h2 (e13)) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((e23) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((h2 (e12)) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> (~((h2 (op1 (e10) (e13))) = (op2 (h2 (e10)) (h2 (e13))))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e11)) = (e12))\/((op1 (e10) (e11)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> ((op1 (e11) (op1 (e11) (e13))) = (e13)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((e12) = (e13))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> ((op1 (e11) (op1 (e11) (e12))) = (e12)) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (~((op1 (e12) (e12)) = (e11))) -> ((op1 (e11) (op1 (e11) (e10))) = (e10)) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> ((op2 (e20) (e21)) = (e21)) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e23)) = (e20))) -> False).
% 54.76/54.95 do 0 intro. intros zenon_H197 zenon_H489 zenon_H9f zenon_H474 zenon_H313 zenon_H1b1 zenon_H2b1 zenon_H2a6 zenon_H2a5 zenon_H2a3 zenon_H1d8 zenon_H1be zenon_H209 zenon_H14b zenon_H1a9 zenon_H15f zenon_H473 zenon_H154 zenon_H155 zenon_H15 zenon_H13 zenon_H2c2 zenon_H32e zenon_H3f zenon_H26c zenon_H33 zenon_H461 zenon_H3b zenon_H44f zenon_H463 zenon_H2c0 zenon_H358 zenon_H21a zenon_H2e7 zenon_H25 zenon_H30e zenon_H2b9 zenon_H206 zenon_H17 zenon_H186 zenon_H180 zenon_H179 zenon_H204 zenon_H23b zenon_H301 zenon_H2f8 zenon_H29e zenon_H172 zenon_H1fd zenon_H18a zenon_H1cc zenon_H360 zenon_H316 zenon_H19d zenon_H32b zenon_H236 zenon_H2ad zenon_H15a zenon_H1ed zenon_H375 zenon_H1da zenon_H23f zenon_H292 zenon_H1de zenon_H1fa zenon_H1e zenon_H1a0 zenon_Hb9 zenon_H3c2 zenon_Had.
% 54.76/54.95 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_H18f. zenon_intro zenon_H198.
% 54.76/54.95 apply (zenon_and_s _ _ zenon_H198). zenon_intro zenon_H293. zenon_intro zenon_H227.
% 54.76/54.95 apply (zenon_and_s _ _ zenon_H227). zenon_intro zenon_H229. zenon_intro zenon_H228.
% 54.76/54.95 apply (zenon_and_s _ _ zenon_H228). zenon_intro zenon_H22b. zenon_intro zenon_H22a.
% 54.76/54.95 apply (zenon_and_s _ _ zenon_H22a). zenon_intro zenon_H224. zenon_intro zenon_H22c.
% 54.76/54.95 apply (zenon_or_s _ _ zenon_H224); [ zenon_intro zenon_H1d1 | zenon_intro zenon_H1d1 ].
% 54.76/54.95 apply (zenon_L536_); trivial.
% 54.76/54.95 apply (zenon_L536_); trivial.
% 54.76/54.95 (* end of lemma zenon_L537_ *)
% 54.76/54.95 assert (zenon_L538_ : (((op1 (e11) (e10)) = (e11))/\(((op1 (e10) (e11)) = (e11))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11))))/\(((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12))))/\((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13))))))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op2 (e20) (e23)) = (e20))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> ((op2 (e20) (e21)) = (e21)) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> ((e10) = (op1 (e11) (e11))) -> ((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> ((e22) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> ((h2 (e10)) = (op2 (e21) (e21))) -> ((e20) = (op2 (e21) (e21))) -> ((h2 (e13)) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((e23) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((h2 (e12)) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> (~((h2 (op1 (e10) (e13))) = (op2 (h2 (e10)) (h2 (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> False).
% 54.76/54.95 do 0 intro. intros zenon_H259 zenon_H17 zenon_H1e zenon_H1a0 zenon_Had zenon_H3c2 zenon_Hb9 zenon_H328 zenon_H13 zenon_H15 zenon_H25 zenon_H3f zenon_H26c zenon_H33 zenon_H461 zenon_H3b zenon_H44f zenon_H463 zenon_H485 zenon_H9f zenon_H489.
% 54.76/54.95 apply (zenon_and_s _ _ zenon_H259). zenon_intro zenon_H163. zenon_intro zenon_H25a.
% 54.76/54.95 apply (zenon_and_s _ _ zenon_H25a). zenon_intro zenon_H1fe. zenon_intro zenon_H149.
% 54.76/54.95 apply (zenon_and_s _ _ zenon_H149). zenon_intro zenon_H144. zenon_intro zenon_H14a.
% 54.76/54.95 apply (zenon_and_s _ _ zenon_H14a). zenon_intro zenon_H25c. zenon_intro zenon_H25b.
% 54.76/54.95 apply (zenon_and_s _ _ zenon_H25b). zenon_intro zenon_H25e. zenon_intro zenon_H25d.
% 54.76/54.95 apply (zenon_or_s _ _ zenon_H25d); [ zenon_intro zenon_H25f | zenon_intro zenon_H1a1 ].
% 54.76/54.95 apply (zenon_or_s _ _ zenon_H489); [ zenon_intro zenon_H8b | zenon_intro zenon_H48a ].
% 54.76/54.95 exact (zenon_Had zenon_H8b).
% 54.76/54.95 apply (zenon_or_s _ _ zenon_H48a); [ zenon_intro zenon_H3c3 | zenon_intro zenon_H48b ].
% 54.76/54.95 apply (zenon_L352_); trivial.
% 54.76/54.95 apply (zenon_or_s _ _ zenon_H48b); [ zenon_intro zenon_H464 | zenon_intro zenon_H9e ].
% 54.76/54.95 apply (zenon_L525_); trivial.
% 54.76/54.95 apply (zenon_L27_); trivial.
% 54.76/54.95 apply (zenon_L79_); trivial.
% 54.76/54.95 (* end of lemma zenon_L538_ *)
% 54.76/54.95 assert (zenon_L539_ : ((~((op1 (e13) (e13)) = (e11)))\/((op1 (e13) (e11)) = (e13))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e12))\/((op1 (e11) (e10)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> ((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) -> ((e12) = (op1 (op1 (op1 (e11) (e11)) (op1 (e11) (e11))) (op1 (e11) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> ((e10) = (op1 (e11) (e11))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (~((op2 (e20) (e23)) = (e20))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> ((op2 (e20) (e21)) = (e21)) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> ((op1 (e11) (op1 (e11) (e10))) = (e10)) -> (~((op1 (e12) (e12)) = (e11))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> ((op1 (e11) (op1 (e11) (e12))) = (e12)) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((e12) = (e13))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> ((op1 (e11) (op1 (e11) (e13))) = (e13)) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (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 (e12) (e11)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e11)) = (e12))\/((op1 (e10) (e11)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (~((h2 (op1 (e10) (e13))) = (op2 (h2 (e10)) (h2 (e13))))) -> ((h2 (e12)) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> ((e23) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((h2 (e13)) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((e20) = (op2 (e21) (e21))) -> ((h2 (e10)) = (op2 (e21) (e21))) -> ((e22) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e11) (e11)) = (e11))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> ((op1 (e11) (op1 (e11) (e11))) = (e11)) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (~((e10) = (e12))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e13)) = (e10))\/(((op1 (e13) (e13)) = (e11))\/(((op1 (e13) (e13)) = (e12))\/((op1 (e13) (e13)) = (e13))))) -> ((((op1 (e10) (e10)) = (e10))/\(((op1 (e10) (e10)) = (e10))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11))))/\(((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12))))/\((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))))))))\/((((op1 (e10) (e11)) = (e10))/\(((op1 (e11) (e10)) = (e10))/\(((~((op1 (e11) (e10)) = (e11)))\/(~((op1 (e11) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e11) (e12)) = (e11)))\/(~((op1 (e11) (e11)) = (e12))))/\((~((op1 (e11) (e13)) = (e11)))\/(~((op1 (e11) (e11)) = (e13)))))))))\/((((op1 (e10) (e12)) = (e10))/\(((op1 (e12) (e10)) = (e10))/\(((~((op1 (e12) (e10)) = (e12)))\/(~((op1 (e12) (e12)) = (e10))))/\(((~((op1 (e12) (e11)) = (e12)))\/(~((op1 (e12) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13)))))))))\/((((op1 (e10) (e13)) = (e10))/\(((op1 (e13) (e10)) = (e10))/\(((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e13) (e13)) = (e10))))/\(((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11))))/\(((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e13) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13)))))))))\/((((op1 (e11) (e10)) = (e11))/\(((op1 (e10) (e11)) = (e11))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11))))/\(((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12))))/\((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))))))))\/((((op1 (e11) (e11)) = (e11))/\(((op1 (e11) (e11)) = (e11))/\(((~((op1 (e11) (e10)) = (e11)))\/(~((op1 (e11) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e11) (e12)) = (e11)))\/(~((op1 (e11) (e11)) = (e12))))/\((~((op1 (e11) (e13)) = (e11)))\/(~((op1 (e11) (e11)) = (e13)))))))))\/((((op1 (e11) (e12)) = (e11))/\(((op1 (e12) (e11)) = (e11))/\(((~((op1 (e12) (e10)) = (e12)))\/(~((op1 (e12) (e12)) = (e10))))/\(((~((op1 (e12) (e11)) = (e12)))\/(~((op1 (e12) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13)))))))))\/((((op1 (e11) (e13)) = (e11))/\(((op1 (e13) (e11)) = (e11))/\(((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e13) (e13)) = (e10))))/\(((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11))))/\(((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e13) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13)))))))))\/((((op1 (e12) (e10)) = (e12))/\(((op1 (e10) (e12)) = (e12))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11))))/\(((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12))))/\((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))))))))\/((((op1 (e12) (e11)) = (e12))/\(((op1 (e11) (e12)) = (e12))/\(((~((op1 (e11) (e10)) = (e11)))\/(~((op1 (e11) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e11) (e12)) = (e11)))\/(~((op1 (e11) (e11)) = (e12))))/\((~((op1 (e11) (e13)) = (e11)))\/(~((op1 (e11) (e11)) = (e13)))))))))\/((((op1 (e12) (e12)) = (e12))/\(((op1 (e12) (e12)) = (e12))/\(((~((op1 (e12) (e10)) = (e12)))\/(~((op1 (e12) (e12)) = (e10))))/\(((~((op1 (e12) (e11)) = (e12)))\/(~((op1 (e12) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13)))))))))\/((((op1 (e12) (e13)) = (e12))/\(((op1 (e13) (e12)) = (e12))/\(((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e13) (e13)) = (e10))))/\(((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11))))/\(((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e13) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13)))))))))\/((((op1 (e13) (e10)) = (e13))/\(((op1 (e10) (e13)) = (e13))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11))))/\(((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12))))/\((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))))))))\/((((op1 (e13) (e11)) = (e13))/\(((op1 (e11) (e13)) = (e13))/\(((~((op1 (e11) (e10)) = (e11)))\/(~((op1 (e11) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e11) (e12)) = (e11)))\/(~((op1 (e11) (e11)) = (e12))))/\((~((op1 (e11) (e13)) = (e11)))\/(~((op1 (e11) (e11)) = (e13)))))))))\/((((op1 (e13) (e12)) = (e13))/\(((op1 (e12) (e13)) = (e13))/\(((~((op1 (e12) (e10)) = (e12)))\/(~((op1 (e12) (e12)) = (e10))))/\(((~((op1 (e12) (e11)) = (e12)))\/(~((op1 (e12) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13)))))))))\/(((op1 (e13) (e13)) = (e13))/\(((op1 (e13) (e13)) = (e13))/\(((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e13) (e13)) = (e10))))/\(((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11))))/\(((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e13) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13)))))))))))))))))))))))) -> False).
% 54.76/54.95 do 0 intro. intros zenon_H37b zenon_H15f zenon_H15a zenon_H15 zenon_H155 zenon_H154 zenon_H13 zenon_H14b zenon_Had zenon_H3c2 zenon_Hb9 zenon_H1a0 zenon_H1e zenon_H1fa zenon_H1de zenon_H292 zenon_H23f zenon_H1da zenon_H375 zenon_H1ed zenon_H2ad zenon_H236 zenon_H32b zenon_H19d zenon_H316 zenon_H360 zenon_H1cc zenon_H18a zenon_H1fd zenon_H172 zenon_H29e zenon_H2f8 zenon_H301 zenon_H23b zenon_H204 zenon_H179 zenon_H180 zenon_H186 zenon_H17 zenon_H206 zenon_H2b9 zenon_H30e zenon_H25 zenon_H2e7 zenon_H21a zenon_H358 zenon_H2c0 zenon_H463 zenon_H44f zenon_H3b zenon_H461 zenon_H33 zenon_H26c zenon_H3f zenon_H32e zenon_H2c2 zenon_H473 zenon_H1a9 zenon_H209 zenon_H1be zenon_H1d8 zenon_H2a3 zenon_H2a5 zenon_H2a6 zenon_H2b1 zenon_H1b1 zenon_H313 zenon_H474 zenon_H9f zenon_H489 zenon_H16c zenon_H485 zenon_H328 zenon_H18e zenon_H1f4 zenon_H20c zenon_H245.
% 54.76/54.95 apply (zenon_or_s _ _ zenon_H37b); [ zenon_intro zenon_H20d | zenon_intro zenon_H1c3 ].
% 54.76/54.95 apply (zenon_or_s _ _ zenon_H245); [ zenon_intro zenon_H147 | zenon_intro zenon_H254 ].
% 54.76/54.95 apply (zenon_L60_); trivial.
% 54.76/54.95 apply (zenon_or_s _ _ zenon_H254); [ zenon_intro zenon_H164 | zenon_intro zenon_H255 ].
% 54.76/54.95 apply (zenon_L66_); trivial.
% 54.76/54.95 apply (zenon_or_s _ _ zenon_H255); [ zenon_intro zenon_H197 | zenon_intro zenon_H256 ].
% 54.76/54.95 apply (zenon_L537_); trivial.
% 54.76/54.95 apply (zenon_or_s _ _ zenon_H256); [ zenon_intro zenon_H199 | zenon_intro zenon_H257 ].
% 54.76/54.95 apply (zenon_L77_); trivial.
% 54.76/54.95 apply (zenon_or_s _ _ zenon_H257); [ zenon_intro zenon_H259 | zenon_intro zenon_H258 ].
% 54.76/54.95 apply (zenon_L538_); trivial.
% 54.76/54.95 apply (zenon_or_s _ _ zenon_H258); [ zenon_intro zenon_H1a5 | zenon_intro zenon_H262 ].
% 54.76/54.95 apply (zenon_L80_); trivial.
% 54.76/54.95 apply (zenon_or_s _ _ zenon_H262); [ zenon_intro zenon_H1ae | zenon_intro zenon_H263 ].
% 54.76/54.95 apply (zenon_L83_); trivial.
% 54.76/54.95 apply (zenon_or_s _ _ zenon_H263); [ zenon_intro zenon_H212 | zenon_intro zenon_H264 ].
% 54.76/54.95 apply (zenon_L161_); trivial.
% 54.76/54.95 apply (zenon_or_s _ _ zenon_H264); [ zenon_intro zenon_H220 | zenon_intro zenon_H265 ].
% 54.76/54.95 apply (zenon_L110_); trivial.
% 54.76/54.95 apply (zenon_or_s _ _ zenon_H265); [ zenon_intro zenon_H222 | zenon_intro zenon_H266 ].
% 54.76/54.95 apply (zenon_L111_); trivial.
% 54.76/54.95 apply (zenon_or_s _ _ zenon_H266); [ zenon_intro zenon_H225 | zenon_intro zenon_H267 ].
% 54.76/54.95 apply (zenon_L113_); trivial.
% 54.76/54.95 apply (zenon_or_s _ _ zenon_H267); [ zenon_intro zenon_H22d | zenon_intro zenon_H268 ].
% 54.76/54.95 apply (zenon_L114_); trivial.
% 54.76/54.95 apply (zenon_or_s _ _ zenon_H268); [ zenon_intro zenon_H230 | zenon_intro zenon_H269 ].
% 54.76/54.95 apply (zenon_L115_); trivial.
% 54.76/54.95 apply (zenon_or_s _ _ zenon_H269); [ zenon_intro zenon_H232 | zenon_intro zenon_H26a ].
% 54.76/54.95 apply (zenon_L116_); trivial.
% 54.76/54.95 apply (zenon_or_s _ _ zenon_H26a); [ zenon_intro zenon_H240 | zenon_intro zenon_H242 ].
% 54.76/54.95 apply (zenon_L166_); trivial.
% 54.76/54.95 apply (zenon_L125_); trivial.
% 54.76/54.95 apply (zenon_or_s _ _ zenon_H245); [ zenon_intro zenon_H147 | zenon_intro zenon_H254 ].
% 54.76/54.95 apply (zenon_L60_); trivial.
% 54.76/54.95 apply (zenon_or_s _ _ zenon_H254); [ zenon_intro zenon_H164 | zenon_intro zenon_H255 ].
% 54.76/54.95 apply (zenon_L66_); trivial.
% 54.76/54.95 apply (zenon_or_s _ _ zenon_H255); [ zenon_intro zenon_H197 | zenon_intro zenon_H256 ].
% 54.76/54.95 apply (zenon_L537_); trivial.
% 54.76/54.95 apply (zenon_or_s _ _ zenon_H256); [ zenon_intro zenon_H199 | zenon_intro zenon_H257 ].
% 54.76/54.95 apply (zenon_L77_); trivial.
% 54.76/54.95 apply (zenon_or_s _ _ zenon_H257); [ zenon_intro zenon_H259 | zenon_intro zenon_H258 ].
% 54.76/54.95 apply (zenon_L538_); trivial.
% 54.76/54.95 apply (zenon_or_s _ _ zenon_H258); [ zenon_intro zenon_H1a5 | zenon_intro zenon_H262 ].
% 54.76/54.95 apply (zenon_L80_); trivial.
% 54.76/54.95 apply (zenon_or_s _ _ zenon_H262); [ zenon_intro zenon_H1ae | zenon_intro zenon_H263 ].
% 54.76/54.95 apply (zenon_L83_); trivial.
% 54.76/54.95 apply (zenon_or_s _ _ zenon_H263); [ zenon_intro zenon_H212 | zenon_intro zenon_H264 ].
% 54.76/54.95 apply (zenon_L167_); trivial.
% 54.76/54.95 apply (zenon_or_s _ _ zenon_H264); [ zenon_intro zenon_H220 | zenon_intro zenon_H265 ].
% 54.76/54.95 apply (zenon_L110_); trivial.
% 54.76/54.95 apply (zenon_or_s _ _ zenon_H265); [ zenon_intro zenon_H222 | zenon_intro zenon_H266 ].
% 54.76/54.95 apply (zenon_L111_); trivial.
% 54.76/54.95 apply (zenon_or_s _ _ zenon_H266); [ zenon_intro zenon_H225 | zenon_intro zenon_H267 ].
% 54.76/54.95 apply (zenon_L113_); trivial.
% 54.76/54.95 apply (zenon_or_s _ _ zenon_H267); [ zenon_intro zenon_H22d | zenon_intro zenon_H268 ].
% 54.76/54.95 apply (zenon_L114_); trivial.
% 54.76/54.95 apply (zenon_or_s _ _ zenon_H268); [ zenon_intro zenon_H230 | zenon_intro zenon_H269 ].
% 54.76/54.95 apply (zenon_L115_); trivial.
% 54.76/54.95 apply (zenon_or_s _ _ zenon_H269); [ zenon_intro zenon_H232 | zenon_intro zenon_H26a ].
% 54.76/54.95 apply (zenon_L116_); trivial.
% 54.76/54.95 apply (zenon_or_s _ _ zenon_H26a); [ zenon_intro zenon_H240 | zenon_intro zenon_H242 ].
% 54.76/54.95 apply (zenon_L166_); trivial.
% 54.76/54.95 apply (zenon_L125_); trivial.
% 54.76/54.95 (* end of lemma zenon_L539_ *)
% 54.76/54.95 assert (zenon_L540_ : (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e11)) = (e12))\/((op1 (e10) (e11)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> ((op1 (e12) (e11)) = (e12)) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> ((op1 (e11) (e11)) = (e12)) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e12) (e12)) = (e12))) -> (~((e12) = (e13))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> ((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) -> ((e10) = (op1 (e11) (e11))) -> ((e12) = (op1 (op1 (op1 (e11) (e11)) (op1 (e11) (e11))) (op1 (e11) (e11)))) -> (~((op1 (e12) (e13)) = (e12))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((h2 (op1 (e10) (e13))) = (op2 (h2 (e10)) (h2 (e13))))) -> ((h2 (e12)) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> ((op2 (e20) (e23)) = (e22)) -> ((e22) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> ((h2 (e10)) = (op2 (e21) (e21))) -> ((e20) = (op2 (e21) (e21))) -> ((h2 (e13)) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((e23) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> ((op1 (e11) (op1 (e11) (e13))) = (e13)) -> False).
% 54.76/54.95 do 0 intro. intros zenon_H2c2 zenon_H15a zenon_H2b9 zenon_H32b zenon_H25 zenon_H30e zenon_H206 zenon_H19d zenon_H360 zenon_H2f8 zenon_H1fd zenon_H18a zenon_H301 zenon_H316 zenon_H186 zenon_H204 zenon_H172 zenon_H179 zenon_H17 zenon_H202 zenon_H358 zenon_H1b8 zenon_H2e7 zenon_H2ad zenon_H1d1 zenon_H236 zenon_H21a zenon_H23b zenon_H180 zenon_H15 zenon_H13 zenon_H155 zenon_H27d zenon_H1cc zenon_H463 zenon_H44f zenon_H464 zenon_H3f zenon_H26c zenon_H33 zenon_H461 zenon_H3b zenon_H32e zenon_H2c0 zenon_H29e.
% 54.76/54.95 apply (zenon_or_s _ _ zenon_H2c2); [ zenon_intro zenon_H159 | zenon_intro zenon_H2c3 ].
% 54.76/54.95 apply (zenon_L64_); trivial.
% 54.76/54.95 apply (zenon_or_s _ _ zenon_H2c3); [ zenon_intro zenon_H2b7 | zenon_intro zenon_H2c4 ].
% 54.76/54.95 apply (zenon_L489_); trivial.
% 54.76/54.95 apply (zenon_or_s _ _ zenon_H2c4); [ zenon_intro zenon_H1f3 | zenon_intro zenon_H234 ].
% 54.76/54.95 apply (zenon_L289_); trivial.
% 54.76/54.95 apply (zenon_L494_); trivial.
% 54.76/54.95 (* end of lemma zenon_L540_ *)
% 54.76/54.95 assert (zenon_L541_ : (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> ((e12) = (op1 (op1 (op1 (e11) (e11)) (op1 (e11) (e11))) (op1 (e11) (e11)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((e12) = (e13))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> ((op1 (e11) (op1 (e11) (e13))) = (e13)) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e11)) = (e12))\/((op1 (e10) (e11)) = (e13))))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e12) (e13)) = (e12))) -> (~((op1 (e12) (e12)) = (e12))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e12)) = (e11))) -> ((op1 (e11) (op1 (e11) (e10))) = (e10)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> ((op1 (e11) (op1 (e11) (e11))) = (e11)) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e12))\/((op1 (e11) (e10)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> ((op1 (e11) (op1 (e11) (e12))) = (e12)) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e11)) = (e11))) -> ((op1 (e12) (e11)) = (e12)) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> ((e23) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((h2 (e13)) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((e20) = (op2 (e21) (e21))) -> ((h2 (e10)) = (op2 (e21) (e21))) -> ((e22) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> ((op2 (e20) (e23)) = (e22)) -> ((h2 (e12)) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> (~((h2 (op1 (e10) (e13))) = (op2 (h2 (e10)) (h2 (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> ((op1 (e12) (e10)) = (e10)) -> ((op1 (e10) (e12)) = (e10)) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> ((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) -> ((e10) = (op1 (e11) (e11))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> False).
% 54.76/54.95 do 0 intro. intros zenon_H1a0 zenon_H172 zenon_H155 zenon_H313 zenon_H2b9 zenon_H1cc zenon_H2ad zenon_H2e7 zenon_H236 zenon_H18a zenon_H29e zenon_H2c2 zenon_H15a zenon_H180 zenon_H179 zenon_H204 zenon_H186 zenon_H316 zenon_H301 zenon_H1fd zenon_H2f8 zenon_H360 zenon_H19d zenon_H206 zenon_H32b zenon_H358 zenon_H30e zenon_H27d zenon_H1d1 zenon_H21a zenon_H23b zenon_H209 zenon_H154 zenon_H2b1 zenon_H1d8 zenon_H23f zenon_H292 zenon_H2a3 zenon_H1da zenon_H2a6 zenon_H2a5 zenon_H14b zenon_H15f zenon_H1b1 zenon_H1be zenon_H32e zenon_H375 zenon_H1ed zenon_H1fa zenon_H1a9 zenon_H473 zenon_H202 zenon_H2c0 zenon_H3b zenon_H461 zenon_H33 zenon_H26c zenon_H3f zenon_H464 zenon_H44f zenon_H463 zenon_H1de zenon_H293 zenon_H18f zenon_H474 zenon_H17 zenon_H1e zenon_H15 zenon_H13 zenon_H25.
% 54.76/54.95 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_H1a3 | zenon_intro zenon_H1a2 ].
% 54.76/54.95 apply (zenon_or_s _ _ zenon_H474); [ zenon_intro zenon_H163 | zenon_intro zenon_H475 ].
% 54.76/54.95 apply (zenon_or_s _ _ zenon_H1fa); [ zenon_intro zenon_H156 | zenon_intro zenon_H1fb ].
% 54.76/54.95 apply (zenon_L63_); trivial.
% 54.76/54.95 apply (zenon_or_s _ _ zenon_H1fb); [ zenon_intro zenon_H1b8 | zenon_intro zenon_H1fc ].
% 54.76/54.95 apply (zenon_L540_); trivial.
% 54.76/54.95 apply (zenon_or_s _ _ zenon_H1fc); [ zenon_intro zenon_H1c6 | zenon_intro zenon_H1ec ].
% 54.76/54.95 apply (zenon_L499_); trivial.
% 54.76/54.95 apply (zenon_L500_); trivial.
% 54.76/54.95 apply (zenon_or_s _ _ zenon_H475); [ zenon_intro zenon_H1a7 | zenon_intro zenon_H476 ].
% 54.76/54.95 exact (zenon_H473 zenon_H1a7).
% 54.76/54.95 apply (zenon_or_s _ _ zenon_H476); [ zenon_intro zenon_H1a8 | zenon_intro zenon_H214 ].
% 54.76/54.95 apply (zenon_L82_); trivial.
% 54.76/54.95 apply (zenon_L509_); trivial.
% 54.76/54.95 apply (zenon_or_s _ _ zenon_H1a2); [ zenon_intro zenon_H16 | zenon_intro zenon_H1a4 ].
% 54.76/54.95 apply (zenon_L2_); trivial.
% 54.76/54.95 apply (zenon_or_s _ _ zenon_H1a4); [ zenon_intro zenon_H1d | zenon_intro zenon_H24 ].
% 54.76/54.95 apply (zenon_L3_); trivial.
% 54.76/54.95 apply (zenon_L4_); trivial.
% 54.76/54.95 (* end of lemma zenon_L541_ *)
% 54.76/54.95 assert (zenon_L542_ : (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (e20))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> ((op2 (e22) (e21)) = (e22)) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> (((op2 (e20) (e21)) = (e20))\/(((op2 (e20) (e21)) = (e21))\/(((op2 (e20) (e21)) = (e22))\/((op2 (e20) (e21)) = (e23))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> ((e10) = (op1 (e11) (e11))) -> ((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> ((op1 (e10) (e12)) = (e10)) -> ((op1 (e12) (e10)) = (e10)) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((h2 (op1 (e10) (e13))) = (op2 (h2 (e10)) (h2 (e13))))) -> ((h2 (e12)) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> ((e22) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> ((h2 (e10)) = (op2 (e21) (e21))) -> ((h2 (e13)) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> ((op1 (e12) (e11)) = (e12)) -> (~((op1 (e11) (e11)) = (e11))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> ((op1 (e11) (op1 (e11) (e12))) = (e12)) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e12))\/((op1 (e11) (e10)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> ((op1 (e11) (op1 (e11) (e11))) = (e11)) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> ((op1 (e11) (op1 (e11) (e10))) = (e10)) -> (~((op1 (e12) (e12)) = (e11))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e12) (e12)) = (e12))) -> (~((op1 (e12) (e13)) = (e12))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (((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) (e11)) = (op1 (e11) (e11)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> ((op1 (e11) (op1 (e11) (e13))) = (e13)) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((e12) = (e13))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> ((e12) = (op1 (op1 (op1 (e11) (e11)) (op1 (e11) (e11))) (op1 (e11) (e11)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> ((e23) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((e20) = (op2 (e21) (e21))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> False).
% 54.76/54.95 do 0 intro. intros zenon_H489 zenon_Had zenon_H93 zenon_Hd3 zenon_H286 zenon_H3c2 zenon_H8d zenon_H289 zenon_H25 zenon_H13 zenon_H15 zenon_H1e zenon_H17 zenon_H474 zenon_H18f zenon_H293 zenon_H1de zenon_H463 zenon_H44f zenon_H3f zenon_H26c zenon_H461 zenon_H2c0 zenon_H202 zenon_H473 zenon_H1a9 zenon_H1fa zenon_H1ed zenon_H375 zenon_H32e zenon_H1be zenon_H1b1 zenon_H15f zenon_H14b zenon_H2a5 zenon_H2a6 zenon_H1da zenon_H2a3 zenon_H292 zenon_H23f zenon_H1d8 zenon_H2b1 zenon_H154 zenon_H209 zenon_H23b zenon_H21a zenon_H1d1 zenon_H27d zenon_H30e zenon_H358 zenon_H32b zenon_H206 zenon_H19d zenon_H360 zenon_H2f8 zenon_H1fd zenon_H301 zenon_H316 zenon_H186 zenon_H204 zenon_H179 zenon_H180 zenon_H15a zenon_H2c2 zenon_H29e zenon_H18a zenon_H236 zenon_H2e7 zenon_H2ad zenon_H1cc zenon_H2b9 zenon_H313 zenon_H155 zenon_H172 zenon_H1a0 zenon_H3b zenon_H33 zenon_H9f.
% 54.76/54.95 apply (zenon_or_s _ _ zenon_H489); [ zenon_intro zenon_H8b | zenon_intro zenon_H48a ].
% 54.76/54.95 exact (zenon_Had zenon_H8b).
% 54.76/54.95 apply (zenon_or_s _ _ zenon_H48a); [ zenon_intro zenon_H3c3 | zenon_intro zenon_H48b ].
% 54.76/54.95 apply (zenon_L353_); trivial.
% 54.76/54.95 apply (zenon_or_s _ _ zenon_H48b); [ zenon_intro zenon_H464 | zenon_intro zenon_H9e ].
% 54.76/54.95 apply (zenon_L541_); trivial.
% 54.76/54.95 apply (zenon_L27_); trivial.
% 54.76/54.95 (* end of lemma zenon_L542_ *)
% 54.76/54.95 assert (zenon_L543_ : ((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13)))) -> (~((op2 (e20) (e23)) = (e20))) -> (((op2 (e20) (e21)) = (e20))\/(((op2 (e20) (e21)) = (e21))\/(((op2 (e20) (e21)) = (e22))\/((op2 (e20) (e21)) = (e23))))) -> ((e23) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> ((op2 (e22) (e21)) = (e22)) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> ((e20) = (op2 (e21) (e21))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> ((op1 (e11) (op1 (e11) (e10))) = (e10)) -> ((op1 (e12) (e10)) = (e10)) -> ((op1 (e10) (e12)) = (e10)) -> (~((op1 (e12) (e12)) = (e11))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> ((op1 (e11) (op1 (e11) (e12))) = (e12)) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e11)) = (e12))\/((op1 (e10) (e11)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e12) (e12)) = (e12))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> ((op1 (e11) (op1 (e11) (e13))) = (e13)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> ((op1 (e12) (e11)) = (e12)) -> (~((e12) = (e13))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (~((h2 (op1 (e10) (e13))) = (op2 (h2 (e10)) (h2 (e13))))) -> ((h2 (e12)) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> ((h2 (e13)) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((h2 (e10)) = (op2 (e21) (e21))) -> ((e22) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> ((e10) = (op1 (e11) (e11))) -> ((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) -> ((e12) = (op1 (op1 (op1 (e11) (e11)) (op1 (e11) (e11))) (op1 (e11) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e11) (e11)) = (e11))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e12))\/((op1 (e11) (e10)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> ((op1 (e11) (op1 (e11) (e11))) = (e11)) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> False).
% 54.76/54.95 do 0 intro. intros zenon_H22c zenon_Had zenon_H289 zenon_H3b zenon_H93 zenon_Hd3 zenon_H286 zenon_H3c2 zenon_H33 zenon_H8d zenon_H1a0 zenon_H1e zenon_H1fa zenon_H1de zenon_H292 zenon_H293 zenon_H18f zenon_H23f zenon_H1da zenon_H375 zenon_H1ed zenon_H15a zenon_H2e7 zenon_H25 zenon_H30e zenon_H2b9 zenon_H206 zenon_H17 zenon_H21a zenon_H186 zenon_H180 zenon_H179 zenon_H204 zenon_H1d1 zenon_H23b zenon_H301 zenon_H2f8 zenon_H29e zenon_H172 zenon_H1fd zenon_H18a zenon_H1cc zenon_H360 zenon_H316 zenon_H19d zenon_H32b zenon_H202 zenon_H236 zenon_H2ad zenon_H358 zenon_H2c0 zenon_H463 zenon_H44f zenon_H461 zenon_H26c zenon_H3f zenon_H32e zenon_H2c2 zenon_H13 zenon_H15 zenon_H155 zenon_H154 zenon_H473 zenon_H15f zenon_H1a9 zenon_H14b zenon_H209 zenon_H1be zenon_H1d8 zenon_H2a3 zenon_H2a5 zenon_H2a6 zenon_H2b1 zenon_H1b1 zenon_H313 zenon_H474 zenon_H9f zenon_H489.
% 54.76/54.95 apply (zenon_or_s _ _ zenon_H22c); [ zenon_intro zenon_H27d | zenon_intro zenon_H29d ].
% 54.76/54.95 apply (zenon_L542_); trivial.
% 54.76/54.95 apply (zenon_L144_); trivial.
% 54.76/54.95 (* end of lemma zenon_L543_ *)
% 54.76/54.95 assert (zenon_L544_ : (((op1 (e10) (e12)) = (e10))/\(((op1 (e12) (e10)) = (e10))/\(((~((op1 (e12) (e10)) = (e12)))\/(~((op1 (e12) (e12)) = (e10))))/\(((~((op1 (e12) (e11)) = (e12)))\/(~((op1 (e12) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13))))))))) -> (~((op2 (e20) (e23)) = (e20))) -> (((op2 (e20) (e21)) = (e20))\/(((op2 (e20) (e21)) = (e21))\/(((op2 (e20) (e21)) = (e22))\/((op2 (e20) (e21)) = (e23))))) -> ((e23) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> ((op2 (e22) (e21)) = (e22)) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> ((e20) = (op2 (e21) (e21))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> ((op1 (e11) (op1 (e11) (e10))) = (e10)) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> ((op1 (e11) (op1 (e11) (e12))) = (e12)) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e11)) = (e12))\/((op1 (e10) (e11)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> ((op1 (e11) (op1 (e11) (e13))) = (e13)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((e12) = (e13))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (~((h2 (op1 (e10) (e13))) = (op2 (h2 (e10)) (h2 (e13))))) -> ((h2 (e12)) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> ((h2 (e13)) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((h2 (e10)) = (op2 (e21) (e21))) -> ((e22) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> ((e10) = (op1 (e11) (e11))) -> ((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) -> ((e12) = (op1 (op1 (op1 (e11) (e11)) (op1 (e11) (e11))) (op1 (e11) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e11) (e11)) = (e11))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e12))\/((op1 (e11) (e10)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> ((op1 (e11) (op1 (e11) (e11))) = (e11)) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> ((op1 (e12) (e11)) = (e12)) -> False).
% 54.76/54.96 do 0 intro. intros zenon_H197 zenon_Had zenon_H289 zenon_H3b zenon_H93 zenon_Hd3 zenon_H286 zenon_H3c2 zenon_H33 zenon_H8d zenon_H1a0 zenon_H1e zenon_H1fa zenon_H1de zenon_H292 zenon_H1da zenon_H375 zenon_H1ed zenon_H15a zenon_H2e7 zenon_H25 zenon_H30e zenon_H2b9 zenon_H206 zenon_H17 zenon_H21a zenon_H186 zenon_H180 zenon_H179 zenon_H204 zenon_H23b zenon_H301 zenon_H2f8 zenon_H29e zenon_H172 zenon_H1fd zenon_H18a zenon_H1cc zenon_H360 zenon_H316 zenon_H19d zenon_H32b zenon_H236 zenon_H2ad zenon_H358 zenon_H2c0 zenon_H463 zenon_H44f zenon_H461 zenon_H26c zenon_H3f zenon_H32e zenon_H2c2 zenon_H13 zenon_H15 zenon_H155 zenon_H154 zenon_H473 zenon_H15f zenon_H1a9 zenon_H14b zenon_H209 zenon_H1be zenon_H1d8 zenon_H2a3 zenon_H2a5 zenon_H2a6 zenon_H2b1 zenon_H1b1 zenon_H313 zenon_H474 zenon_H9f zenon_H489 zenon_H202.
% 54.76/54.96 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_H18f. zenon_intro zenon_H198.
% 54.76/54.96 apply (zenon_and_s _ _ zenon_H198). zenon_intro zenon_H293. zenon_intro zenon_H227.
% 54.76/54.96 apply (zenon_and_s _ _ zenon_H227). zenon_intro zenon_H229. zenon_intro zenon_H228.
% 54.76/54.96 apply (zenon_and_s _ _ zenon_H228). zenon_intro zenon_H22b. zenon_intro zenon_H22a.
% 54.76/54.96 apply (zenon_and_s _ _ zenon_H22a). zenon_intro zenon_H224. zenon_intro zenon_H22c.
% 54.76/54.96 apply (zenon_or_s _ _ zenon_H22b); [ zenon_intro zenon_H23c | zenon_intro zenon_H23f ].
% 54.76/54.96 exact (zenon_H23c zenon_H202).
% 54.76/54.96 apply (zenon_or_s _ _ zenon_H224); [ zenon_intro zenon_H1d1 | zenon_intro zenon_H1d1 ].
% 54.76/54.96 apply (zenon_L543_); trivial.
% 54.76/54.96 apply (zenon_L543_); trivial.
% 54.76/54.96 (* end of lemma zenon_L544_ *)
% 54.76/54.96 assert (zenon_L545_ : (((op2 (e21) (e20)) = (e21))/\(((op2 (e20) (e21)) = (e21))/\(((~((op2 (e20) (e20)) = (e20)))\/(~((op2 (e20) (e20)) = (e20))))/\(((~((op2 (e20) (e21)) = (e20)))\/(~((op2 (e20) (e20)) = (e21))))/\(((~((op2 (e20) (e22)) = (e20)))\/(~((op2 (e20) (e20)) = (e22))))/\((~((op2 (e20) (e23)) = (e20)))\/(~((op2 (e20) (e20)) = (e23))))))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e22)))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e20) (e21)) = (e23))\/(((op2 (e20) (e22)) = (e23))\/((op2 (e20) (e23)) = (e23))))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e12))\/((op1 (e11) (e10)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> ((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) -> ((e12) = (op1 (op1 (op1 (e11) (e11)) (op1 (e11) (e11))) (op1 (e11) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((e10) = (e12))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e11)) = (e12))\/((op1 (e10) (e11)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (((op1 (e13) (e13)) = (e10))\/(((op1 (e13) (e13)) = (e11))\/(((op1 (e13) (e13)) = (e12))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (~((e12) = (e13))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> ((((op1 (e10) (e10)) = (e10))/\(((op1 (e10) (e10)) = (e10))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11))))/\(((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12))))/\((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))))))))\/((((op1 (e10) (e11)) = (e10))/\(((op1 (e11) (e10)) = (e10))/\(((~((op1 (e11) (e10)) = (e11)))\/(~((op1 (e11) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e11) (e12)) = (e11)))\/(~((op1 (e11) (e11)) = (e12))))/\((~((op1 (e11) (e13)) = (e11)))\/(~((op1 (e11) (e11)) = (e13)))))))))\/((((op1 (e10) (e12)) = (e10))/\(((op1 (e12) (e10)) = (e10))/\(((~((op1 (e12) (e10)) = (e12)))\/(~((op1 (e12) (e12)) = (e10))))/\(((~((op1 (e12) (e11)) = (e12)))\/(~((op1 (e12) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13)))))))))\/((((op1 (e10) (e13)) = (e10))/\(((op1 (e13) (e10)) = (e10))/\(((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e13) (e13)) = (e10))))/\(((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11))))/\(((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e13) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13)))))))))\/((((op1 (e11) (e10)) = (e11))/\(((op1 (e10) (e11)) = (e11))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11))))/\(((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12))))/\((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))))))))\/((((op1 (e11) (e11)) = (e11))/\(((op1 (e11) (e11)) = (e11))/\(((~((op1 (e11) (e10)) = (e11)))\/(~((op1 (e11) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e11) (e12)) = (e11)))\/(~((op1 (e11) (e11)) = (e12))))/\((~((op1 (e11) (e13)) = (e11)))\/(~((op1 (e11) (e11)) = (e13)))))))))\/((((op1 (e11) (e12)) = (e11))/\(((op1 (e12) (e11)) = (e11))/\(((~((op1 (e12) (e10)) = (e12)))\/(~((op1 (e12) (e12)) = (e10))))/\(((~((op1 (e12) (e11)) = (e12)))\/(~((op1 (e12) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13)))))))))\/((((op1 (e11) (e13)) = (e11))/\(((op1 (e13) (e11)) = (e11))/\(((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e13) (e13)) = (e10))))/\(((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11))))/\(((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e13) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13)))))))))\/((((op1 (e12) (e10)) = (e12))/\(((op1 (e10) (e12)) = (e12))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11))))/\(((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12))))/\((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))))))))\/((((op1 (e12) (e11)) = (e12))/\(((op1 (e11) (e12)) = (e12))/\(((~((op1 (e11) (e10)) = (e11)))\/(~((op1 (e11) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e11) (e12)) = (e11)))\/(~((op1 (e11) (e11)) = (e12))))/\((~((op1 (e11) (e13)) = (e11)))\/(~((op1 (e11) (e11)) = (e13)))))))))\/((((op1 (e12) (e12)) = (e12))/\(((op1 (e12) (e12)) = (e12))/\(((~((op1 (e12) (e10)) = (e12)))\/(~((op1 (e12) (e12)) = (e10))))/\(((~((op1 (e12) (e11)) = (e12)))\/(~((op1 (e12) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13)))))))))\/((((op1 (e12) (e13)) = (e12))/\(((op1 (e13) (e12)) = (e12))/\(((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e13) (e13)) = (e10))))/\(((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11))))/\(((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e13) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13)))))))))\/((((op1 (e13) (e10)) = (e13))/\(((op1 (e10) (e13)) = (e13))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11))))/\(((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12))))/\((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))))))))\/((((op1 (e13) (e11)) = (e13))/\(((op1 (e11) (e13)) = (e13))/\(((~((op1 (e11) (e10)) = (e11)))\/(~((op1 (e11) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e11) (e12)) = (e11)))\/(~((op1 (e11) (e11)) = (e12))))/\((~((op1 (e11) (e13)) = (e11)))\/(~((op1 (e11) (e11)) = (e13)))))))))\/((((op1 (e13) (e12)) = (e13))/\(((op1 (e12) (e13)) = (e13))/\(((~((op1 (e12) (e10)) = (e12)))\/(~((op1 (e12) (e12)) = (e10))))/\(((~((op1 (e12) (e11)) = (e12)))\/(~((op1 (e12) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13)))))))))\/(((op1 (e13) (e13)) = (e13))/\(((op1 (e13) (e13)) = (e13))/\(((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e13) (e13)) = (e10))))/\(((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11))))/\(((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e13) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13)))))))))))))))))))))))) -> ((e10) = (op1 (e11) (e11))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> ((op2 (e22) (e21)) = (e22)) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> (((op2 (e20) (e21)) = (e20))\/(((op2 (e20) (e21)) = (e21))\/(((op2 (e20) (e21)) = (e22))\/((op2 (e20) (e21)) = (e23))))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> ((e22) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> ((h2 (e10)) = (op2 (e21) (e21))) -> ((e20) = (op2 (e21) (e21))) -> ((h2 (e13)) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((e23) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((h2 (e12)) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> (~((h2 (op1 (e10) (e13))) = (op2 (h2 (e10)) (h2 (e13))))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> (((op1 (e10) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e12) (e11)) = (e13))))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e12) (e13)) = (e10))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> ((((op1 (e10) (op1 (e10) (e10))) = (e10))/\(((op1 (e10) (op1 (e10) (e11))) = (e11))/\(((op1 (e10) (op1 (e10) (e12))) = (e12))/\(((op1 (e10) (op1 (e10) (e13))) = (e13))/\(((~((op1 (e10) (e10)) = (e10)))\/((op1 (e10) (e10)) = (e10)))/\(((~((op1 (e11) (e11)) = (e10)))\/((op1 (e11) (e10)) = (e11)))/\(((~((op1 (e12) (e12)) = (e10)))\/((op1 (e12) (e10)) = (e12)))/\((~((op1 (e13) (e13)) = (e10)))\/((op1 (e13) (e10)) = (e13))))))))))\/((((op1 (e11) (op1 (e11) (e10))) = (e10))/\(((op1 (e11) (op1 (e11) (e11))) = (e11))/\(((op1 (e11) (op1 (e11) (e12))) = (e12))/\(((op1 (e11) (op1 (e11) (e13))) = (e13))/\(((~((op1 (e10) (e10)) = (e11)))\/((op1 (e10) (e11)) = (e10)))/\(((~((op1 (e11) (e11)) = (e11)))\/((op1 (e11) (e11)) = (e11)))/\(((~((op1 (e12) (e12)) = (e11)))\/((op1 (e12) (e11)) = (e12)))/\((~((op1 (e13) (e13)) = (e11)))\/((op1 (e13) (e11)) = (e13))))))))))\/((((op1 (e12) (op1 (e12) (e10))) = (e10))/\(((op1 (e12) (op1 (e12) (e11))) = (e11))/\(((op1 (e12) (op1 (e12) (e12))) = (e12))/\(((op1 (e12) (op1 (e12) (e13))) = (e13))/\(((~((op1 (e10) (e10)) = (e12)))\/((op1 (e10) (e12)) = (e10)))/\(((~((op1 (e11) (e11)) = (e12)))\/((op1 (e11) (e12)) = (e11)))/\(((~((op1 (e12) (e12)) = (e12)))\/((op1 (e12) (e12)) = (e12)))/\((~((op1 (e13) (e13)) = (e12)))\/((op1 (e13) (e12)) = (e13))))))))))\/(((op1 (e13) (op1 (e13) (e10))) = (e10))/\(((op1 (e13) (op1 (e13) (e11))) = (e11))/\(((op1 (e13) (op1 (e13) (e12))) = (e12))/\(((op1 (e13) (op1 (e13) (e13))) = (e13))/\(((~((op1 (e10) (e10)) = (e13)))\/((op1 (e10) (e13)) = (e10)))/\(((~((op1 (e11) (e11)) = (e13)))\/((op1 (e11) (e13)) = (e11)))/\(((~((op1 (e12) (e12)) = (e13)))\/((op1 (e12) (e13)) = (e12)))/\((~((op1 (e13) (e13)) = (e13)))\/((op1 (e13) (e13)) = (e13))))))))))))) -> False).
% 54.76/54.96 do 0 intro. intros zenon_Hb6 zenon_H98 zenon_Ha5 zenon_H15f zenon_H15a zenon_H15 zenon_H155 zenon_H154 zenon_H14b zenon_H186 zenon_H180 zenon_H179 zenon_H172 zenon_H16c zenon_H18a zenon_H18e zenon_H192 zenon_H246 zenon_H19d zenon_H1a0 zenon_H25 zenon_H1e zenon_H17 zenon_H1a9 zenon_H209 zenon_H206 zenon_H204 zenon_H1fd zenon_H1fa zenon_H1f7 zenon_H1f4 zenon_H1ed zenon_H1e8 zenon_H1da zenon_H1d8 zenon_H1cc zenon_H1de zenon_H1b1 zenon_H1be zenon_H20c zenon_H21a zenon_H236 zenon_H23b zenon_H245 zenon_H13 zenon_H8d zenon_H286 zenon_Hd3 zenon_H93 zenon_H289 zenon_H328 zenon_H485 zenon_H489 zenon_H9f zenon_H474 zenon_H313 zenon_H2b1 zenon_H2a5 zenon_H2a3 zenon_H2c2 zenon_H32e zenon_H3f zenon_H26c zenon_H33 zenon_H461 zenon_H3b zenon_H44f zenon_H463 zenon_H2c0 zenon_H358 zenon_H2e7 zenon_H30e zenon_H2b9 zenon_H301 zenon_H2f8 zenon_H360 zenon_H316 zenon_H32b zenon_H2ad zenon_H3c2 zenon_H2fd zenon_H2fb zenon_H2f6 zenon_H325 zenon_H322 zenon_H321 zenon_H30b zenon_H2ea zenon_H2e2 zenon_H2e6 zenon_H2d9 zenon_H2c9 zenon_H2d1 zenon_H35d zenon_H345 zenon_H355 zenon_H36e.
% 54.76/54.96 apply (zenon_and_s _ _ zenon_Hb6). zenon_intro zenon_H4e. zenon_intro zenon_Hb8.
% 54.76/54.96 apply (zenon_and_s _ _ zenon_Hb8). zenon_intro zenon_Hb9. zenon_intro zenon_H2e.
% 54.76/54.96 apply (zenon_and_s _ _ zenon_H2e). zenon_intro zenon_H30. zenon_intro zenon_H2f.
% 54.76/54.96 apply (zenon_and_s _ _ zenon_H2f). zenon_intro zenon_Hbb. zenon_intro zenon_Hba.
% 54.76/54.96 apply (zenon_and_s _ _ zenon_Hba). zenon_intro zenon_Hbc. zenon_intro zenon_Haa.
% 54.76/54.96 apply (zenon_or_s _ _ zenon_Haa); [ zenon_intro zenon_Had | zenon_intro zenon_Ha6 ].
% 54.76/54.96 apply (zenon_or_s _ _ zenon_H36e); [ zenon_intro zenon_H244 | zenon_intro zenon_H36f ].
% 54.76/54.96 apply (zenon_L126_); trivial.
% 54.76/54.96 apply (zenon_or_s _ _ zenon_H36f); [ zenon_intro zenon_H371 | zenon_intro zenon_H370 ].
% 54.76/54.96 apply (zenon_and_s _ _ zenon_H371). zenon_intro zenon_H292. zenon_intro zenon_H372.
% 54.76/54.96 apply (zenon_and_s _ _ zenon_H372). zenon_intro zenon_H2a6. zenon_intro zenon_H373.
% 54.76/54.96 apply (zenon_and_s _ _ zenon_H373). zenon_intro zenon_H375. zenon_intro zenon_H374.
% 54.76/54.96 apply (zenon_and_s _ _ zenon_H374). zenon_intro zenon_H29e. zenon_intro zenon_H376.
% 54.76/54.96 apply (zenon_and_s _ _ zenon_H376). zenon_intro zenon_H378. zenon_intro zenon_H377.
% 54.76/54.96 apply (zenon_and_s _ _ zenon_H377). zenon_intro zenon_H37a. zenon_intro zenon_H379.
% 54.76/54.96 apply (zenon_and_s _ _ zenon_H379). zenon_intro zenon_H37c. zenon_intro zenon_H37b.
% 54.76/54.96 apply (zenon_or_s _ _ zenon_H37a); [ zenon_intro zenon_H473 | zenon_intro zenon_H1a7 ].
% 54.76/54.96 apply (zenon_or_s _ _ zenon_H37c); [ zenon_intro zenon_H23f | zenon_intro zenon_H202 ].
% 54.76/54.96 apply (zenon_L539_); trivial.
% 54.76/54.96 apply (zenon_or_s _ _ zenon_H245); [ zenon_intro zenon_H147 | zenon_intro zenon_H254 ].
% 54.76/54.96 apply (zenon_L60_); trivial.
% 54.76/54.96 apply (zenon_or_s _ _ zenon_H254); [ zenon_intro zenon_H164 | zenon_intro zenon_H255 ].
% 54.76/54.96 apply (zenon_L66_); trivial.
% 54.76/54.96 apply (zenon_or_s _ _ zenon_H255); [ zenon_intro zenon_H197 | zenon_intro zenon_H256 ].
% 54.76/54.96 apply (zenon_L544_); trivial.
% 54.76/54.96 apply (zenon_or_s _ _ zenon_H256); [ zenon_intro zenon_H199 | zenon_intro zenon_H257 ].
% 54.76/54.96 apply (zenon_L77_); trivial.
% 54.76/54.96 apply (zenon_or_s _ _ zenon_H257); [ zenon_intro zenon_H259 | zenon_intro zenon_H258 ].
% 54.76/54.96 apply (zenon_L538_); trivial.
% 54.76/54.96 apply (zenon_or_s _ _ zenon_H258); [ zenon_intro zenon_H1a5 | zenon_intro zenon_H262 ].
% 54.76/54.96 apply (zenon_L80_); trivial.
% 54.76/54.96 apply (zenon_or_s _ _ zenon_H262); [ zenon_intro zenon_H1ae | zenon_intro zenon_H263 ].
% 54.76/54.96 apply (zenon_L83_); trivial.
% 54.76/54.96 apply (zenon_or_s _ _ zenon_H263); [ zenon_intro zenon_H212 | zenon_intro zenon_H264 ].
% 54.76/54.96 apply (zenon_L169_); trivial.
% 54.76/54.96 apply (zenon_or_s _ _ zenon_H264); [ zenon_intro zenon_H220 | zenon_intro zenon_H265 ].
% 54.76/54.96 apply (zenon_L110_); trivial.
% 54.76/54.96 apply (zenon_or_s _ _ zenon_H265); [ zenon_intro zenon_H222 | zenon_intro zenon_H266 ].
% 54.76/54.96 apply (zenon_L111_); trivial.
% 54.76/54.96 apply (zenon_or_s _ _ zenon_H266); [ zenon_intro zenon_H225 | zenon_intro zenon_H267 ].
% 54.76/54.96 apply (zenon_L113_); trivial.
% 54.76/54.96 apply (zenon_or_s _ _ zenon_H267); [ zenon_intro zenon_H22d | zenon_intro zenon_H268 ].
% 54.76/54.96 apply (zenon_L114_); trivial.
% 54.76/54.96 apply (zenon_or_s _ _ zenon_H268); [ zenon_intro zenon_H230 | zenon_intro zenon_H269 ].
% 54.76/54.96 apply (zenon_L115_); trivial.
% 54.76/54.96 apply (zenon_or_s _ _ zenon_H269); [ zenon_intro zenon_H232 | zenon_intro zenon_H26a ].
% 54.76/54.96 apply (zenon_L116_); trivial.
% 54.76/54.96 apply (zenon_or_s _ _ zenon_H26a); [ zenon_intro zenon_H240 | zenon_intro zenon_H242 ].
% 54.76/54.96 apply (zenon_L166_); trivial.
% 54.76/54.96 apply (zenon_L125_); trivial.
% 54.76/54.96 apply (zenon_L532_); trivial.
% 54.76/54.96 apply (zenon_or_s _ _ zenon_H370); [ zenon_intro zenon_H335 | zenon_intro zenon_H363 ].
% 54.76/54.96 apply (zenon_L260_); trivial.
% 54.76/54.96 apply (zenon_L307_); trivial.
% 54.76/54.96 apply (zenon_L28_); trivial.
% 54.76/54.96 (* end of lemma zenon_L545_ *)
% 54.76/54.96 assert (zenon_L546_ : ((~((op2 (e23) (e23)) = (e21)))\/((op2 (e23) (e21)) = (e23))) -> (((op2 (e21) (e20)) = (e20))\/(((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e20)) = (e22))\/((op2 (e21) (e20)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> ((e23) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((e22) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> ((e20) = (op2 (e21) (e21))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> ((op2 (e22) (e21)) = (e22)) -> ((((op1 (e10) (op1 (e10) (e10))) = (e10))/\(((op1 (e10) (op1 (e10) (e11))) = (e11))/\(((op1 (e10) (op1 (e10) (e12))) = (e12))/\(((op1 (e10) (op1 (e10) (e13))) = (e13))/\(((~((op1 (e10) (e10)) = (e10)))\/((op1 (e10) (e10)) = (e10)))/\(((~((op1 (e11) (e11)) = (e10)))\/((op1 (e11) (e10)) = (e11)))/\(((~((op1 (e12) (e12)) = (e10)))\/((op1 (e12) (e10)) = (e12)))/\((~((op1 (e13) (e13)) = (e10)))\/((op1 (e13) (e10)) = (e13))))))))))\/((((op1 (e11) (op1 (e11) (e10))) = (e10))/\(((op1 (e11) (op1 (e11) (e11))) = (e11))/\(((op1 (e11) (op1 (e11) (e12))) = (e12))/\(((op1 (e11) (op1 (e11) (e13))) = (e13))/\(((~((op1 (e10) (e10)) = (e11)))\/((op1 (e10) (e11)) = (e10)))/\(((~((op1 (e11) (e11)) = (e11)))\/((op1 (e11) (e11)) = (e11)))/\(((~((op1 (e12) (e12)) = (e11)))\/((op1 (e12) (e11)) = (e12)))/\((~((op1 (e13) (e13)) = (e11)))\/((op1 (e13) (e11)) = (e13))))))))))\/((((op1 (e12) (op1 (e12) (e10))) = (e10))/\(((op1 (e12) (op1 (e12) (e11))) = (e11))/\(((op1 (e12) (op1 (e12) (e12))) = (e12))/\(((op1 (e12) (op1 (e12) (e13))) = (e13))/\(((~((op1 (e10) (e10)) = (e12)))\/((op1 (e10) (e12)) = (e10)))/\(((~((op1 (e11) (e11)) = (e12)))\/((op1 (e11) (e12)) = (e11)))/\(((~((op1 (e12) (e12)) = (e12)))\/((op1 (e12) (e12)) = (e12)))/\((~((op1 (e13) (e13)) = (e12)))\/((op1 (e13) (e12)) = (e13))))))))))\/(((op1 (e13) (op1 (e13) (e10))) = (e10))/\(((op1 (e13) (op1 (e13) (e11))) = (e11))/\(((op1 (e13) (op1 (e13) (e12))) = (e12))/\(((op1 (e13) (op1 (e13) (e13))) = (e13))/\(((~((op1 (e10) (e10)) = (e13)))\/((op1 (e10) (e13)) = (e10)))/\(((~((op1 (e11) (e11)) = (e13)))\/((op1 (e11) (e13)) = (e11)))/\(((~((op1 (e12) (e12)) = (e13)))\/((op1 (e12) (e13)) = (e12)))/\((~((op1 (e13) (e13)) = (e13)))\/((op1 (e13) (e13)) = (e13))))))))))))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e12) (e13)) = (e10))))) -> (((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e12) (e11)) = (e13))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> (((op2 (e20) (e21)) = (e20))\/(((op2 (e20) (e21)) = (e21))\/(((op2 (e20) (e21)) = (e22))\/((op2 (e20) (e21)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> (~((e21) = (e22))) -> (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> (~((op2 (e21) (e21)) = (e21))) -> (((op2 (e22) (e20)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e22) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (~((h2 (op1 (e10) (e13))) = (op2 (h2 (e10)) (h2 (e13))))) -> ((h2 (e12)) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> ((h2 (e13)) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((h2 (e10)) = (op2 (e21) (e21))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e21)) = (e22))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> ((op2 (e21) (op2 (e21) (e23))) = (e23)) -> (~((op2 (e21) (e22)) = (op2 (e21) (e23)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((e22) = (e23))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> (((op2 (e22) (e22)) = (e20))\/(((op2 (e22) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e22)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> ((op2 (e21) (op2 (e21) (e22))) = (e22)) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e21) (e20)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/((op2 (e21) (e23)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e22)))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e20) (e21)) = (e23))\/(((op2 (e20) (e22)) = (e23))\/((op2 (e20) (e23)) = (e23))))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> ((e10) = (op1 (e11) (e11))) -> ((((op1 (e10) (e10)) = (e10))/\(((op1 (e10) (e10)) = (e10))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11))))/\(((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12))))/\((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))))))))\/((((op1 (e10) (e11)) = (e10))/\(((op1 (e11) (e10)) = (e10))/\(((~((op1 (e11) (e10)) = (e11)))\/(~((op1 (e11) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e11) (e12)) = (e11)))\/(~((op1 (e11) (e11)) = (e12))))/\((~((op1 (e11) (e13)) = (e11)))\/(~((op1 (e11) (e11)) = (e13)))))))))\/((((op1 (e10) (e12)) = (e10))/\(((op1 (e12) (e10)) = (e10))/\(((~((op1 (e12) (e10)) = (e12)))\/(~((op1 (e12) (e12)) = (e10))))/\(((~((op1 (e12) (e11)) = (e12)))\/(~((op1 (e12) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13)))))))))\/((((op1 (e10) (e13)) = (e10))/\(((op1 (e13) (e10)) = (e10))/\(((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e13) (e13)) = (e10))))/\(((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11))))/\(((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e13) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13)))))))))\/((((op1 (e11) (e10)) = (e11))/\(((op1 (e10) (e11)) = (e11))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11))))/\(((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12))))/\((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))))))))\/((((op1 (e11) (e11)) = (e11))/\(((op1 (e11) (e11)) = (e11))/\(((~((op1 (e11) (e10)) = (e11)))\/(~((op1 (e11) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e11) (e12)) = (e11)))\/(~((op1 (e11) (e11)) = (e12))))/\((~((op1 (e11) (e13)) = (e11)))\/(~((op1 (e11) (e11)) = (e13)))))))))\/((((op1 (e11) (e12)) = (e11))/\(((op1 (e12) (e11)) = (e11))/\(((~((op1 (e12) (e10)) = (e12)))\/(~((op1 (e12) (e12)) = (e10))))/\(((~((op1 (e12) (e11)) = (e12)))\/(~((op1 (e12) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13)))))))))\/((((op1 (e11) (e13)) = (e11))/\(((op1 (e13) (e11)) = (e11))/\(((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e13) (e13)) = (e10))))/\(((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11))))/\(((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e13) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13)))))))))\/((((op1 (e12) (e10)) = (e12))/\(((op1 (e10) (e12)) = (e12))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11))))/\(((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12))))/\((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))))))))\/((((op1 (e12) (e11)) = (e12))/\(((op1 (e11) (e12)) = (e12))/\(((~((op1 (e11) (e10)) = (e11)))\/(~((op1 (e11) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e11) (e12)) = (e11)))\/(~((op1 (e11) (e11)) = (e12))))/\((~((op1 (e11) (e13)) = (e11)))\/(~((op1 (e11) (e11)) = (e13)))))))))\/((((op1 (e12) (e12)) = (e12))/\(((op1 (e12) (e12)) = (e12))/\(((~((op1 (e12) (e10)) = (e12)))\/(~((op1 (e12) (e12)) = (e10))))/\(((~((op1 (e12) (e11)) = (e12)))\/(~((op1 (e12) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13)))))))))\/((((op1 (e12) (e13)) = (e12))/\(((op1 (e13) (e12)) = (e12))/\(((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e13) (e13)) = (e10))))/\(((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11))))/\(((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e13) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13)))))))))\/((((op1 (e13) (e10)) = (e13))/\(((op1 (e10) (e13)) = (e13))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11))))/\(((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12))))/\((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))))))))\/((((op1 (e13) (e11)) = (e13))/\(((op1 (e11) (e13)) = (e13))/\(((~((op1 (e11) (e10)) = (e11)))\/(~((op1 (e11) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e11) (e12)) = (e11)))\/(~((op1 (e11) (e11)) = (e12))))/\((~((op1 (e11) (e13)) = (e11)))\/(~((op1 (e11) (e11)) = (e13)))))))))\/((((op1 (e13) (e12)) = (e13))/\(((op1 (e12) (e13)) = (e13))/\(((~((op1 (e12) (e10)) = (e12)))\/(~((op1 (e12) (e12)) = (e10))))/\(((~((op1 (e12) (e11)) = (e12)))\/(~((op1 (e12) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13)))))))))\/(((op1 (e13) (e13)) = (e13))/\(((op1 (e13) (e13)) = (e13))/\(((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e13) (e13)) = (e10))))/\(((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11))))/\(((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e13) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13)))))))))))))))))))))))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((e12) = (e13))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e13) (e13)) = (e10))\/(((op1 (e13) (e13)) = (e11))\/(((op1 (e13) (e13)) = (e12))\/((op1 (e13) (e13)) = (e13))))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (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) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e11)) = (e12))\/((op1 (e10) (e11)) = (e13))))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((e10) = (e12))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> ((e12) = (op1 (op1 (op1 (e11) (e11)) (op1 (e11) (e11))) (op1 (e11) (e11)))) -> ((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e12))\/((op1 (e11) (e10)) = (e13))))) -> (((op2 (e23) (e23)) = (e20))\/(((op2 (e23) (e23)) = (e21))\/(((op2 (e23) (e23)) = (e22))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> ((((op2 (e20) (e20)) = (e20))/\(((op2 (e20) (e20)) = (e20))/\(((~((op2 (e20) (e20)) = (e20)))\/(~((op2 (e20) (e20)) = (e20))))/\(((~((op2 (e20) (e21)) = (e20)))\/(~((op2 (e20) (e20)) = (e21))))/\(((~((op2 (e20) (e22)) = (e20)))\/(~((op2 (e20) (e20)) = (e22))))/\((~((op2 (e20) (e23)) = (e20)))\/(~((op2 (e20) (e20)) = (e23)))))))))\/((((op2 (e20) (e21)) = (e20))/\(((op2 (e21) (e20)) = (e20))/\(((~((op2 (e21) (e20)) = (e21)))\/(~((op2 (e21) (e21)) = (e20))))/\(((~((op2 (e21) (e21)) = (e21)))\/(~((op2 (e21) (e21)) = (e21))))/\(((~((op2 (e21) (e22)) = (e21)))\/(~((op2 (e21) (e21)) = (e22))))/\((~((op2 (e21) (e23)) = (e21)))\/(~((op2 (e21) (e21)) = (e23)))))))))\/((((op2 (e20) (e22)) = (e20))/\(((op2 (e22) (e20)) = (e20))/\(((~((op2 (e22) (e20)) = (e22)))\/(~((op2 (e22) (e22)) = (e20))))/\(((~((op2 (e22) (e21)) = (e22)))\/(~((op2 (e22) (e22)) = (e21))))/\(((~((op2 (e22) (e22)) = (e22)))\/(~((op2 (e22) (e22)) = (e22))))/\((~((op2 (e22) (e23)) = (e22)))\/(~((op2 (e22) (e22)) = (e23)))))))))\/((((op2 (e20) (e23)) = (e20))/\(((op2 (e23) (e20)) = (e20))/\(((~((op2 (e23) (e20)) = (e23)))\/(~((op2 (e23) (e23)) = (e20))))/\(((~((op2 (e23) (e21)) = (e23)))\/(~((op2 (e23) (e23)) = (e21))))/\(((~((op2 (e23) (e22)) = (e23)))\/(~((op2 (e23) (e23)) = (e22))))/\((~((op2 (e23) (e23)) = (e23)))\/(~((op2 (e23) (e23)) = (e23)))))))))\/((((op2 (e21) (e20)) = (e21))/\(((op2 (e20) (e21)) = (e21))/\(((~((op2 (e20) (e20)) = (e20)))\/(~((op2 (e20) (e20)) = (e20))))/\(((~((op2 (e20) (e21)) = (e20)))\/(~((op2 (e20) (e20)) = (e21))))/\(((~((op2 (e20) (e22)) = (e20)))\/(~((op2 (e20) (e20)) = (e22))))/\((~((op2 (e20) (e23)) = (e20)))\/(~((op2 (e20) (e20)) = (e23)))))))))\/((((op2 (e21) (e21)) = (e21))/\(((op2 (e21) (e21)) = (e21))/\(((~((op2 (e21) (e20)) = (e21)))\/(~((op2 (e21) (e21)) = (e20))))/\(((~((op2 (e21) (e21)) = (e21)))\/(~((op2 (e21) (e21)) = (e21))))/\(((~((op2 (e21) (e22)) = (e21)))\/(~((op2 (e21) (e21)) = (e22))))/\((~((op2 (e21) (e23)) = (e21)))\/(~((op2 (e21) (e21)) = (e23)))))))))\/((((op2 (e21) (e22)) = (e21))/\(((op2 (e22) (e21)) = (e21))/\(((~((op2 (e22) (e20)) = (e22)))\/(~((op2 (e22) (e22)) = (e20))))/\(((~((op2 (e22) (e21)) = (e22)))\/(~((op2 (e22) (e22)) = (e21))))/\(((~((op2 (e22) (e22)) = (e22)))\/(~((op2 (e22) (e22)) = (e22))))/\((~((op2 (e22) (e23)) = (e22)))\/(~((op2 (e22) (e22)) = (e23)))))))))\/((((op2 (e21) (e23)) = (e21))/\(((op2 (e23) (e21)) = (e21))/\(((~((op2 (e23) (e20)) = (e23)))\/(~((op2 (e23) (e23)) = (e20))))/\(((~((op2 (e23) (e21)) = (e23)))\/(~((op2 (e23) (e23)) = (e21))))/\(((~((op2 (e23) (e22)) = (e23)))\/(~((op2 (e23) (e23)) = (e22))))/\((~((op2 (e23) (e23)) = (e23)))\/(~((op2 (e23) (e23)) = (e23)))))))))\/((((op2 (e22) (e20)) = (e22))/\(((op2 (e20) (e22)) = (e22))/\(((~((op2 (e20) (e20)) = (e20)))\/(~((op2 (e20) (e20)) = (e20))))/\(((~((op2 (e20) (e21)) = (e20)))\/(~((op2 (e20) (e20)) = (e21))))/\(((~((op2 (e20) (e22)) = (e20)))\/(~((op2 (e20) (e20)) = (e22))))/\((~((op2 (e20) (e23)) = (e20)))\/(~((op2 (e20) (e20)) = (e23)))))))))\/((((op2 (e22) (e21)) = (e22))/\(((op2 (e21) (e22)) = (e22))/\(((~((op2 (e21) (e20)) = (e21)))\/(~((op2 (e21) (e21)) = (e20))))/\(((~((op2 (e21) (e21)) = (e21)))\/(~((op2 (e21) (e21)) = (e21))))/\(((~((op2 (e21) (e22)) = (e21)))\/(~((op2 (e21) (e21)) = (e22))))/\((~((op2 (e21) (e23)) = (e21)))\/(~((op2 (e21) (e21)) = (e23)))))))))\/((((op2 (e22) (e22)) = (e22))/\(((op2 (e22) (e22)) = (e22))/\(((~((op2 (e22) (e20)) = (e22)))\/(~((op2 (e22) (e22)) = (e20))))/\(((~((op2 (e22) (e21)) = (e22)))\/(~((op2 (e22) (e22)) = (e21))))/\(((~((op2 (e22) (e22)) = (e22)))\/(~((op2 (e22) (e22)) = (e22))))/\((~((op2 (e22) (e23)) = (e22)))\/(~((op2 (e22) (e22)) = (e23)))))))))\/((((op2 (e22) (e23)) = (e22))/\(((op2 (e23) (e22)) = (e22))/\(((~((op2 (e23) (e20)) = (e23)))\/(~((op2 (e23) (e23)) = (e20))))/\(((~((op2 (e23) (e21)) = (e23)))\/(~((op2 (e23) (e23)) = (e21))))/\(((~((op2 (e23) (e22)) = (e23)))\/(~((op2 (e23) (e23)) = (e22))))/\((~((op2 (e23) (e23)) = (e23)))\/(~((op2 (e23) (e23)) = (e23)))))))))\/((((op2 (e23) (e20)) = (e23))/\(((op2 (e20) (e23)) = (e23))/\(((~((op2 (e20) (e20)) = (e20)))\/(~((op2 (e20) (e20)) = (e20))))/\(((~((op2 (e20) (e21)) = (e20)))\/(~((op2 (e20) (e20)) = (e21))))/\(((~((op2 (e20) (e22)) = (e20)))\/(~((op2 (e20) (e20)) = (e22))))/\((~((op2 (e20) (e23)) = (e20)))\/(~((op2 (e20) (e20)) = (e23)))))))))\/((((op2 (e23) (e21)) = (e23))/\(((op2 (e21) (e23)) = (e23))/\(((~((op2 (e21) (e20)) = (e21)))\/(~((op2 (e21) (e21)) = (e20))))/\(((~((op2 (e21) (e21)) = (e21)))\/(~((op2 (e21) (e21)) = (e21))))/\(((~((op2 (e21) (e22)) = (e21)))\/(~((op2 (e21) (e21)) = (e22))))/\((~((op2 (e21) (e23)) = (e21)))\/(~((op2 (e21) (e21)) = (e23)))))))))\/((((op2 (e23) (e22)) = (e23))/\(((op2 (e22) (e23)) = (e23))/\(((~((op2 (e22) (e20)) = (e22)))\/(~((op2 (e22) (e22)) = (e20))))/\(((~((op2 (e22) (e21)) = (e22)))\/(~((op2 (e22) (e22)) = (e21))))/\(((~((op2 (e22) (e22)) = (e22)))\/(~((op2 (e22) (e22)) = (e22))))/\((~((op2 (e22) (e23)) = (e22)))\/(~((op2 (e22) (e22)) = (e23)))))))))\/(((op2 (e23) (e23)) = (e23))/\(((op2 (e23) (e23)) = (e23))/\(((~((op2 (e23) (e20)) = (e23)))\/(~((op2 (e23) (e23)) = (e20))))/\(((~((op2 (e23) (e21)) = (e23)))\/(~((op2 (e23) (e23)) = (e21))))/\(((~((op2 (e23) (e22)) = (e23)))\/(~((op2 (e23) (e23)) = (e22))))/\((~((op2 (e23) (e23)) = (e23)))\/(~((op2 (e23) (e23)) = (e23)))))))))))))))))))))))) -> False).
% 54.76/54.96 do 0 intro. intros zenon_H3c1 zenon_H4a zenon_H45 zenon_H3b zenon_H3f zenon_H3e zenon_H33 zenon_H32 zenon_Hd3 zenon_H36e zenon_H355 zenon_H345 zenon_H35d zenon_H2d1 zenon_H2c9 zenon_H2d9 zenon_H2e6 zenon_H2e2 zenon_H2ea zenon_H30b zenon_H321 zenon_H322 zenon_H325 zenon_H2f6 zenon_H2fb zenon_H2fd zenon_H28c zenon_H289 zenon_H93 zenon_H286 zenon_H8d zenon_Hb0 zenon_H27e zenon_Hf1 zenon_H28d zenon_H3f1 zenon_H116 zenon_H2ad zenon_H32b zenon_H316 zenon_H360 zenon_H2f8 zenon_H301 zenon_H2b9 zenon_H30e zenon_H2e7 zenon_H358 zenon_H2c0 zenon_H463 zenon_H44f zenon_H461 zenon_H26c zenon_H32e zenon_H2c2 zenon_H2a3 zenon_H2a5 zenon_H2b1 zenon_H313 zenon_H474 zenon_H3b4 zenon_H39d zenon_H282 zenon_H60 zenon_H3af zenon_H3b1 zenon_H47c zenon_H395 zenon_H47a zenon_H9f zenon_H6e zenon_H47e zenon_Hec zenon_H11f zenon_H37d zenon_H100 zenon_H3a8 zenon_H481 zenon_H394 zenon_H399 zenon_H98 zenon_Ha5 zenon_H328 zenon_H485 zenon_H13 zenon_H245 zenon_H23b zenon_H236 zenon_H21a zenon_H20c zenon_H1be zenon_H1b1 zenon_H1de zenon_H1cc zenon_H1d8 zenon_H1da zenon_H1e8 zenon_H1ed zenon_H1f4 zenon_H1f7 zenon_H1fa zenon_H1fd zenon_H204 zenon_H206 zenon_H209 zenon_H1a9 zenon_H17 zenon_H1e zenon_H25 zenon_H1a0 zenon_H19d zenon_H246 zenon_H192 zenon_H18e zenon_H18a zenon_H16c zenon_H172 zenon_H179 zenon_H180 zenon_H186 zenon_H14b zenon_H154 zenon_H155 zenon_H15 zenon_H15a zenon_H15f zenon_H382 zenon_H3c2 zenon_H489 zenon_Hc5 zenon_Hca zenon_H67 zenon_H38f zenon_H128.
% 54.76/54.96 apply (zenon_or_s _ _ zenon_H3c1); [ zenon_intro zenon_H383 | zenon_intro zenon_He8 ].
% 54.76/54.96 apply (zenon_or_s _ _ zenon_H128); [ zenon_intro zenon_H2b | zenon_intro zenon_H134 ].
% 54.76/54.96 apply (zenon_L5_); trivial.
% 54.76/54.96 apply (zenon_or_s _ _ zenon_H134); [ zenon_intro zenon_H4f | zenon_intro zenon_H135 ].
% 54.76/54.96 apply (zenon_L12_); trivial.
% 54.76/54.96 apply (zenon_or_s _ _ zenon_H135); [ zenon_intro zenon_H77 | zenon_intro zenon_H136 ].
% 54.76/54.96 apply (zenon_L534_); trivial.
% 54.76/54.96 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_H89 | zenon_intro zenon_H137 ].
% 54.76/54.96 apply (zenon_L316_); trivial.
% 54.76/54.96 apply (zenon_or_s _ _ zenon_H137); [ zenon_intro zenon_Hb6 | zenon_intro zenon_H138 ].
% 54.76/54.96 apply (zenon_L545_); trivial.
% 54.76/54.96 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H139 ].
% 54.76/54.96 apply (zenon_L32_); trivial.
% 54.76/54.96 apply (zenon_or_s _ _ zenon_H139); [ zenon_intro zenon_Hc8 | zenon_intro zenon_H13a ].
% 54.76/54.96 apply (zenon_L35_); trivial.
% 54.76/54.96 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_Hcd | zenon_intro zenon_H13b ].
% 54.76/54.96 apply (zenon_L321_); trivial.
% 54.76/54.96 apply (zenon_or_s _ _ zenon_H13b); [ zenon_intro zenon_Hcf | zenon_intro zenon_H13c ].
% 54.76/54.96 apply (zenon_L38_); trivial.
% 54.76/54.96 apply (zenon_or_s _ _ zenon_H13c); [ zenon_intro zenon_Hd1 | zenon_intro zenon_H13d ].
% 54.76/54.96 apply (zenon_L39_); trivial.
% 54.76/54.96 apply (zenon_or_s _ _ zenon_H13d); [ zenon_intro zenon_Hd8 | zenon_intro zenon_H13e ].
% 54.76/54.96 apply (zenon_L41_); trivial.
% 54.76/54.96 apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_He0 | zenon_intro zenon_H13f ].
% 54.76/54.96 apply (zenon_L42_); trivial.
% 54.76/54.96 apply (zenon_or_s _ _ zenon_H13f); [ zenon_intro zenon_He3 | zenon_intro zenon_H140 ].
% 54.76/54.96 apply (zenon_L43_); trivial.
% 54.76/54.96 apply (zenon_or_s _ _ zenon_H140); [ zenon_intro zenon_He6 | zenon_intro zenon_H141 ].
% 54.76/54.96 apply (zenon_L44_); trivial.
% 54.76/54.96 apply (zenon_or_s _ _ zenon_H141); [ zenon_intro zenon_H142 | zenon_intro zenon_H108 ].
% 54.76/54.96 apply (zenon_L328_); trivial.
% 54.76/54.96 apply (zenon_L54_); trivial.
% 54.76/54.96 apply (zenon_or_s _ _ zenon_H128); [ zenon_intro zenon_H2b | zenon_intro zenon_H134 ].
% 54.76/54.96 apply (zenon_L5_); trivial.
% 54.76/54.96 apply (zenon_or_s _ _ zenon_H134); [ zenon_intro zenon_H4f | zenon_intro zenon_H135 ].
% 54.76/54.96 apply (zenon_L12_); trivial.
% 54.76/54.96 apply (zenon_or_s _ _ zenon_H135); [ zenon_intro zenon_H77 | zenon_intro zenon_H136 ].
% 54.76/54.96 apply (zenon_L534_); trivial.
% 54.76/54.96 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_H89 | zenon_intro zenon_H137 ].
% 54.76/54.96 apply (zenon_L329_); trivial.
% 54.76/54.96 apply (zenon_or_s _ _ zenon_H137); [ zenon_intro zenon_Hb6 | zenon_intro zenon_H138 ].
% 54.76/54.96 apply (zenon_L545_); trivial.
% 54.76/54.96 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H139 ].
% 54.76/54.96 apply (zenon_L32_); trivial.
% 54.76/54.96 apply (zenon_or_s _ _ zenon_H139); [ zenon_intro zenon_Hc8 | zenon_intro zenon_H13a ].
% 54.76/54.96 apply (zenon_L35_); trivial.
% 54.76/54.96 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_Hcd | zenon_intro zenon_H13b ].
% 54.76/54.96 apply (zenon_L331_); trivial.
% 54.76/54.96 apply (zenon_or_s _ _ zenon_H13b); [ zenon_intro zenon_Hcf | zenon_intro zenon_H13c ].
% 54.76/54.96 apply (zenon_L38_); trivial.
% 54.76/54.96 apply (zenon_or_s _ _ zenon_H13c); [ zenon_intro zenon_Hd1 | zenon_intro zenon_H13d ].
% 54.76/54.96 apply (zenon_L39_); trivial.
% 54.76/54.96 apply (zenon_or_s _ _ zenon_H13d); [ zenon_intro zenon_Hd8 | zenon_intro zenon_H13e ].
% 54.76/54.96 apply (zenon_L41_); trivial.
% 54.76/54.96 apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_He0 | zenon_intro zenon_H13f ].
% 54.76/54.96 apply (zenon_L42_); trivial.
% 54.76/54.96 apply (zenon_or_s _ _ zenon_H13f); [ zenon_intro zenon_He3 | zenon_intro zenon_H140 ].
% 54.76/54.96 apply (zenon_L43_); trivial.
% 54.76/54.96 apply (zenon_or_s _ _ zenon_H140); [ zenon_intro zenon_He6 | zenon_intro zenon_H141 ].
% 54.76/54.96 apply (zenon_L44_); trivial.
% 54.76/54.96 apply (zenon_or_s _ _ zenon_H141); [ zenon_intro zenon_H142 | zenon_intro zenon_H108 ].
% 54.76/54.96 apply (zenon_L328_); trivial.
% 54.76/54.96 apply (zenon_L54_); trivial.
% 54.76/54.96 (* end of lemma zenon_L546_ *)
% 54.76/54.96 assert (zenon_L547_ : ((((op2 (e20) (e20)) = (e20))/\(((op2 (e20) (e20)) = (e20))/\(((~((op2 (e20) (e20)) = (e20)))\/(~((op2 (e20) (e20)) = (e20))))/\(((~((op2 (e20) (e21)) = (e20)))\/(~((op2 (e20) (e20)) = (e21))))/\(((~((op2 (e20) (e22)) = (e20)))\/(~((op2 (e20) (e20)) = (e22))))/\((~((op2 (e20) (e23)) = (e20)))\/(~((op2 (e20) (e20)) = (e23)))))))))\/((((op2 (e20) (e21)) = (e20))/\(((op2 (e21) (e20)) = (e20))/\(((~((op2 (e21) (e20)) = (e21)))\/(~((op2 (e21) (e21)) = (e20))))/\(((~((op2 (e21) (e21)) = (e21)))\/(~((op2 (e21) (e21)) = (e21))))/\(((~((op2 (e21) (e22)) = (e21)))\/(~((op2 (e21) (e21)) = (e22))))/\((~((op2 (e21) (e23)) = (e21)))\/(~((op2 (e21) (e21)) = (e23)))))))))\/((((op2 (e20) (e22)) = (e20))/\(((op2 (e22) (e20)) = (e20))/\(((~((op2 (e22) (e20)) = (e22)))\/(~((op2 (e22) (e22)) = (e20))))/\(((~((op2 (e22) (e21)) = (e22)))\/(~((op2 (e22) (e22)) = (e21))))/\(((~((op2 (e22) (e22)) = (e22)))\/(~((op2 (e22) (e22)) = (e22))))/\((~((op2 (e22) (e23)) = (e22)))\/(~((op2 (e22) (e22)) = (e23)))))))))\/((((op2 (e20) (e23)) = (e20))/\(((op2 (e23) (e20)) = (e20))/\(((~((op2 (e23) (e20)) = (e23)))\/(~((op2 (e23) (e23)) = (e20))))/\(((~((op2 (e23) (e21)) = (e23)))\/(~((op2 (e23) (e23)) = (e21))))/\(((~((op2 (e23) (e22)) = (e23)))\/(~((op2 (e23) (e23)) = (e22))))/\((~((op2 (e23) (e23)) = (e23)))\/(~((op2 (e23) (e23)) = (e23)))))))))\/((((op2 (e21) (e20)) = (e21))/\(((op2 (e20) (e21)) = (e21))/\(((~((op2 (e20) (e20)) = (e20)))\/(~((op2 (e20) (e20)) = (e20))))/\(((~((op2 (e20) (e21)) = (e20)))\/(~((op2 (e20) (e20)) = (e21))))/\(((~((op2 (e20) (e22)) = (e20)))\/(~((op2 (e20) (e20)) = (e22))))/\((~((op2 (e20) (e23)) = (e20)))\/(~((op2 (e20) (e20)) = (e23)))))))))\/((((op2 (e21) (e21)) = (e21))/\(((op2 (e21) (e21)) = (e21))/\(((~((op2 (e21) (e20)) = (e21)))\/(~((op2 (e21) (e21)) = (e20))))/\(((~((op2 (e21) (e21)) = (e21)))\/(~((op2 (e21) (e21)) = (e21))))/\(((~((op2 (e21) (e22)) = (e21)))\/(~((op2 (e21) (e21)) = (e22))))/\((~((op2 (e21) (e23)) = (e21)))\/(~((op2 (e21) (e21)) = (e23)))))))))\/((((op2 (e21) (e22)) = (e21))/\(((op2 (e22) (e21)) = (e21))/\(((~((op2 (e22) (e20)) = (e22)))\/(~((op2 (e22) (e22)) = (e20))))/\(((~((op2 (e22) (e21)) = (e22)))\/(~((op2 (e22) (e22)) = (e21))))/\(((~((op2 (e22) (e22)) = (e22)))\/(~((op2 (e22) (e22)) = (e22))))/\((~((op2 (e22) (e23)) = (e22)))\/(~((op2 (e22) (e22)) = (e23)))))))))\/((((op2 (e21) (e23)) = (e21))/\(((op2 (e23) (e21)) = (e21))/\(((~((op2 (e23) (e20)) = (e23)))\/(~((op2 (e23) (e23)) = (e20))))/\(((~((op2 (e23) (e21)) = (e23)))\/(~((op2 (e23) (e23)) = (e21))))/\(((~((op2 (e23) (e22)) = (e23)))\/(~((op2 (e23) (e23)) = (e22))))/\((~((op2 (e23) (e23)) = (e23)))\/(~((op2 (e23) (e23)) = (e23)))))))))\/((((op2 (e22) (e20)) = (e22))/\(((op2 (e20) (e22)) = (e22))/\(((~((op2 (e20) (e20)) = (e20)))\/(~((op2 (e20) (e20)) = (e20))))/\(((~((op2 (e20) (e21)) = (e20)))\/(~((op2 (e20) (e20)) = (e21))))/\(((~((op2 (e20) (e22)) = (e20)))\/(~((op2 (e20) (e20)) = (e22))))/\((~((op2 (e20) (e23)) = (e20)))\/(~((op2 (e20) (e20)) = (e23)))))))))\/((((op2 (e22) (e21)) = (e22))/\(((op2 (e21) (e22)) = (e22))/\(((~((op2 (e21) (e20)) = (e21)))\/(~((op2 (e21) (e21)) = (e20))))/\(((~((op2 (e21) (e21)) = (e21)))\/(~((op2 (e21) (e21)) = (e21))))/\(((~((op2 (e21) (e22)) = (e21)))\/(~((op2 (e21) (e21)) = (e22))))/\((~((op2 (e21) (e23)) = (e21)))\/(~((op2 (e21) (e21)) = (e23)))))))))\/((((op2 (e22) (e22)) = (e22))/\(((op2 (e22) (e22)) = (e22))/\(((~((op2 (e22) (e20)) = (e22)))\/(~((op2 (e22) (e22)) = (e20))))/\(((~((op2 (e22) (e21)) = (e22)))\/(~((op2 (e22) (e22)) = (e21))))/\(((~((op2 (e22) (e22)) = (e22)))\/(~((op2 (e22) (e22)) = (e22))))/\((~((op2 (e22) (e23)) = (e22)))\/(~((op2 (e22) (e22)) = (e23)))))))))\/((((op2 (e22) (e23)) = (e22))/\(((op2 (e23) (e22)) = (e22))/\(((~((op2 (e23) (e20)) = (e23)))\/(~((op2 (e23) (e23)) = (e20))))/\(((~((op2 (e23) (e21)) = (e23)))\/(~((op2 (e23) (e23)) = (e21))))/\(((~((op2 (e23) (e22)) = (e23)))\/(~((op2 (e23) (e23)) = (e22))))/\((~((op2 (e23) (e23)) = (e23)))\/(~((op2 (e23) (e23)) = (e23)))))))))\/((((op2 (e23) (e20)) = (e23))/\(((op2 (e20) (e23)) = (e23))/\(((~((op2 (e20) (e20)) = (e20)))\/(~((op2 (e20) (e20)) = (e20))))/\(((~((op2 (e20) (e21)) = (e20)))\/(~((op2 (e20) (e20)) = (e21))))/\(((~((op2 (e20) (e22)) = (e20)))\/(~((op2 (e20) (e20)) = (e22))))/\((~((op2 (e20) (e23)) = (e20)))\/(~((op2 (e20) (e20)) = (e23)))))))))\/((((op2 (e23) (e21)) = (e23))/\(((op2 (e21) (e23)) = (e23))/\(((~((op2 (e21) (e20)) = (e21)))\/(~((op2 (e21) (e21)) = (e20))))/\(((~((op2 (e21) (e21)) = (e21)))\/(~((op2 (e21) (e21)) = (e21))))/\(((~((op2 (e21) (e22)) = (e21)))\/(~((op2 (e21) (e21)) = (e22))))/\((~((op2 (e21) (e23)) = (e21)))\/(~((op2 (e21) (e21)) = (e23)))))))))\/((((op2 (e23) (e22)) = (e23))/\(((op2 (e22) (e23)) = (e23))/\(((~((op2 (e22) (e20)) = (e22)))\/(~((op2 (e22) (e22)) = (e20))))/\(((~((op2 (e22) (e21)) = (e22)))\/(~((op2 (e22) (e22)) = (e21))))/\(((~((op2 (e22) (e22)) = (e22)))\/(~((op2 (e22) (e22)) = (e22))))/\((~((op2 (e22) (e23)) = (e22)))\/(~((op2 (e22) (e22)) = (e23)))))))))\/(((op2 (e23) (e23)) = (e23))/\(((op2 (e23) (e23)) = (e23))/\(((~((op2 (e23) (e20)) = (e23)))\/(~((op2 (e23) (e23)) = (e20))))/\(((~((op2 (e23) (e21)) = (e23)))\/(~((op2 (e23) (e23)) = (e21))))/\(((~((op2 (e23) (e22)) = (e23)))\/(~((op2 (e23) (e23)) = (e22))))/\((~((op2 (e23) (e23)) = (e23)))\/(~((op2 (e23) (e23)) = (e23)))))))))))))))))))))))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e23)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> (((op2 (e23) (e23)) = (e20))\/(((op2 (e23) (e23)) = (e21))\/(((op2 (e23) (e23)) = (e22))\/((op2 (e23) (e23)) = (e23))))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e12))\/((op1 (e11) (e10)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> ((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) -> ((e12) = (op1 (op1 (op1 (e11) (e11)) (op1 (e11) (e11))) (op1 (e11) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((e10) = (e12))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e11)) = (e12))\/((op1 (e10) (e11)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (((op1 (e13) (e13)) = (e10))\/(((op1 (e13) (e13)) = (e11))\/(((op1 (e13) (e13)) = (e12))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (~((e12) = (e13))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> ((((op1 (e10) (e10)) = (e10))/\(((op1 (e10) (e10)) = (e10))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11))))/\(((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12))))/\((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))))))))\/((((op1 (e10) (e11)) = (e10))/\(((op1 (e11) (e10)) = (e10))/\(((~((op1 (e11) (e10)) = (e11)))\/(~((op1 (e11) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e11) (e12)) = (e11)))\/(~((op1 (e11) (e11)) = (e12))))/\((~((op1 (e11) (e13)) = (e11)))\/(~((op1 (e11) (e11)) = (e13)))))))))\/((((op1 (e10) (e12)) = (e10))/\(((op1 (e12) (e10)) = (e10))/\(((~((op1 (e12) (e10)) = (e12)))\/(~((op1 (e12) (e12)) = (e10))))/\(((~((op1 (e12) (e11)) = (e12)))\/(~((op1 (e12) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13)))))))))\/((((op1 (e10) (e13)) = (e10))/\(((op1 (e13) (e10)) = (e10))/\(((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e13) (e13)) = (e10))))/\(((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11))))/\(((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e13) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13)))))))))\/((((op1 (e11) (e10)) = (e11))/\(((op1 (e10) (e11)) = (e11))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11))))/\(((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12))))/\((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))))))))\/((((op1 (e11) (e11)) = (e11))/\(((op1 (e11) (e11)) = (e11))/\(((~((op1 (e11) (e10)) = (e11)))\/(~((op1 (e11) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e11) (e12)) = (e11)))\/(~((op1 (e11) (e11)) = (e12))))/\((~((op1 (e11) (e13)) = (e11)))\/(~((op1 (e11) (e11)) = (e13)))))))))\/((((op1 (e11) (e12)) = (e11))/\(((op1 (e12) (e11)) = (e11))/\(((~((op1 (e12) (e10)) = (e12)))\/(~((op1 (e12) (e12)) = (e10))))/\(((~((op1 (e12) (e11)) = (e12)))\/(~((op1 (e12) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13)))))))))\/((((op1 (e11) (e13)) = (e11))/\(((op1 (e13) (e11)) = (e11))/\(((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e13) (e13)) = (e10))))/\(((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11))))/\(((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e13) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13)))))))))\/((((op1 (e12) (e10)) = (e12))/\(((op1 (e10) (e12)) = (e12))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11))))/\(((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12))))/\((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))))))))\/((((op1 (e12) (e11)) = (e12))/\(((op1 (e11) (e12)) = (e12))/\(((~((op1 (e11) (e10)) = (e11)))\/(~((op1 (e11) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e11) (e12)) = (e11)))\/(~((op1 (e11) (e11)) = (e12))))/\((~((op1 (e11) (e13)) = (e11)))\/(~((op1 (e11) (e11)) = (e13)))))))))\/((((op1 (e12) (e12)) = (e12))/\(((op1 (e12) (e12)) = (e12))/\(((~((op1 (e12) (e10)) = (e12)))\/(~((op1 (e12) (e12)) = (e10))))/\(((~((op1 (e12) (e11)) = (e12)))\/(~((op1 (e12) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13)))))))))\/((((op1 (e12) (e13)) = (e12))/\(((op1 (e13) (e12)) = (e12))/\(((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e13) (e13)) = (e10))))/\(((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11))))/\(((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e13) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13)))))))))\/((((op1 (e13) (e10)) = (e13))/\(((op1 (e10) (e13)) = (e13))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11))))/\(((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12))))/\((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))))))))\/((((op1 (e13) (e11)) = (e13))/\(((op1 (e11) (e13)) = (e13))/\(((~((op1 (e11) (e10)) = (e11)))\/(~((op1 (e11) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e11) (e12)) = (e11)))\/(~((op1 (e11) (e11)) = (e12))))/\((~((op1 (e11) (e13)) = (e11)))\/(~((op1 (e11) (e11)) = (e13)))))))))\/((((op1 (e13) (e12)) = (e13))/\(((op1 (e12) (e13)) = (e13))/\(((~((op1 (e12) (e10)) = (e12)))\/(~((op1 (e12) (e12)) = (e10))))/\(((~((op1 (e12) (e11)) = (e12)))\/(~((op1 (e12) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13)))))))))\/(((op1 (e13) (e13)) = (e13))/\(((op1 (e13) (e13)) = (e13))/\(((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e13) (e13)) = (e10))))/\(((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11))))/\(((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e13) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13)))))))))))))))))))))))) -> ((e10) = (op1 (e11) (e11))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e20) (e21)) = (e23))\/(((op2 (e20) (e22)) = (e23))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e22)))) -> (((op2 (e21) (e20)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/((op2 (e21) (e23)) = (e23))))) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> ((op2 (e21) (op2 (e21) (e22))) = (e22)) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (((op2 (e22) (e22)) = (e20))\/(((op2 (e22) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e22)) = (e23))))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> (~((e22) = (e23))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (~((op2 (e21) (e22)) = (op2 (e21) (e23)))) -> ((op2 (e21) (op2 (e21) (e23))) = (e23)) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e21)) = (e22))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> ((h2 (e10)) = (op2 (e21) (e21))) -> ((h2 (e13)) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((h2 (e12)) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> (~((h2 (op1 (e10) (e13))) = (op2 (h2 (e10)) (h2 (e13))))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e22) (e20)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e22) (e23)) = (e23))))) -> (~((op2 (e21) (e21)) = (e21))) -> (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> (~((e21) = (e22))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> (((op2 (e20) (e21)) = (e20))\/(((op2 (e20) (e21)) = (e21))\/(((op2 (e20) (e21)) = (e22))\/((op2 (e20) (e21)) = (e23))))) -> (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> (((op1 (e10) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e12) (e11)) = (e13))))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e12) (e13)) = (e10))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> ((((op1 (e10) (op1 (e10) (e10))) = (e10))/\(((op1 (e10) (op1 (e10) (e11))) = (e11))/\(((op1 (e10) (op1 (e10) (e12))) = (e12))/\(((op1 (e10) (op1 (e10) (e13))) = (e13))/\(((~((op1 (e10) (e10)) = (e10)))\/((op1 (e10) (e10)) = (e10)))/\(((~((op1 (e11) (e11)) = (e10)))\/((op1 (e11) (e10)) = (e11)))/\(((~((op1 (e12) (e12)) = (e10)))\/((op1 (e12) (e10)) = (e12)))/\((~((op1 (e13) (e13)) = (e10)))\/((op1 (e13) (e10)) = (e13))))))))))\/((((op1 (e11) (op1 (e11) (e10))) = (e10))/\(((op1 (e11) (op1 (e11) (e11))) = (e11))/\(((op1 (e11) (op1 (e11) (e12))) = (e12))/\(((op1 (e11) (op1 (e11) (e13))) = (e13))/\(((~((op1 (e10) (e10)) = (e11)))\/((op1 (e10) (e11)) = (e10)))/\(((~((op1 (e11) (e11)) = (e11)))\/((op1 (e11) (e11)) = (e11)))/\(((~((op1 (e12) (e12)) = (e11)))\/((op1 (e12) (e11)) = (e12)))/\((~((op1 (e13) (e13)) = (e11)))\/((op1 (e13) (e11)) = (e13))))))))))\/((((op1 (e12) (op1 (e12) (e10))) = (e10))/\(((op1 (e12) (op1 (e12) (e11))) = (e11))/\(((op1 (e12) (op1 (e12) (e12))) = (e12))/\(((op1 (e12) (op1 (e12) (e13))) = (e13))/\(((~((op1 (e10) (e10)) = (e12)))\/((op1 (e10) (e12)) = (e10)))/\(((~((op1 (e11) (e11)) = (e12)))\/((op1 (e11) (e12)) = (e11)))/\(((~((op1 (e12) (e12)) = (e12)))\/((op1 (e12) (e12)) = (e12)))/\((~((op1 (e13) (e13)) = (e12)))\/((op1 (e13) (e12)) = (e13))))))))))\/(((op1 (e13) (op1 (e13) (e10))) = (e10))/\(((op1 (e13) (op1 (e13) (e11))) = (e11))/\(((op1 (e13) (op1 (e13) (e12))) = (e12))/\(((op1 (e13) (op1 (e13) (e13))) = (e13))/\(((~((op1 (e10) (e10)) = (e13)))\/((op1 (e10) (e13)) = (e10)))/\(((~((op1 (e11) (e11)) = (e13)))\/((op1 (e11) (e13)) = (e11)))/\(((~((op1 (e12) (e12)) = (e13)))\/((op1 (e12) (e13)) = (e12)))/\((~((op1 (e13) (e13)) = (e13)))\/((op1 (e13) (e13)) = (e13))))))))))))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> ((e20) = (op2 (e21) (e21))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> ((e22) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> ((e23) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (((op2 (e21) (e20)) = (e20))\/(((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e20)) = (e22))\/((op2 (e21) (e20)) = (e23))))) -> ((~((op2 (e23) (e23)) = (e21)))\/((op2 (e23) (e21)) = (e23))) -> (~((op2 (e22) (e22)) = (e22))) -> (~((op2 (e22) (e23)) = (e22))) -> False).
% 54.76/54.96 do 0 intro. intros zenon_H128 zenon_H38f zenon_H67 zenon_Hca zenon_Hc5 zenon_H489 zenon_H3c2 zenon_H382 zenon_H15f zenon_H15a zenon_H15 zenon_H155 zenon_H154 zenon_H14b zenon_H186 zenon_H180 zenon_H179 zenon_H172 zenon_H16c zenon_H18a zenon_H18e zenon_H192 zenon_H246 zenon_H19d zenon_H1a0 zenon_H25 zenon_H1e zenon_H17 zenon_H1a9 zenon_H209 zenon_H206 zenon_H204 zenon_H1fd zenon_H1fa zenon_H1f7 zenon_H1f4 zenon_H1ed zenon_H1e8 zenon_H1da zenon_H1d8 zenon_H1cc zenon_H1de zenon_H1b1 zenon_H1be zenon_H20c zenon_H21a zenon_H236 zenon_H23b zenon_H245 zenon_H13 zenon_H485 zenon_H328 zenon_Ha5 zenon_H98 zenon_H399 zenon_H394 zenon_H481 zenon_H3a8 zenon_H100 zenon_H37d zenon_H11f zenon_Hec zenon_H47e zenon_H6e zenon_H9f zenon_H47a zenon_H395 zenon_H47c zenon_H3b1 zenon_H3af zenon_H60 zenon_H282 zenon_H39d zenon_H3b4 zenon_H474 zenon_H313 zenon_H2b1 zenon_H2a5 zenon_H2a3 zenon_H2c2 zenon_H32e zenon_H26c zenon_H461 zenon_H44f zenon_H463 zenon_H2c0 zenon_H358 zenon_H2e7 zenon_H30e zenon_H2b9 zenon_H301 zenon_H2f8 zenon_H360 zenon_H316 zenon_H32b zenon_H2ad zenon_H116 zenon_H3f1 zenon_H28d zenon_Hf1 zenon_H27e zenon_Hb0 zenon_H8d zenon_H286 zenon_H93 zenon_H289 zenon_H28c zenon_H2fd zenon_H2fb zenon_H2f6 zenon_H325 zenon_H322 zenon_H321 zenon_H30b zenon_H2ea zenon_H2e2 zenon_H2e6 zenon_H2d9 zenon_H2c9 zenon_H2d1 zenon_H35d zenon_H345 zenon_H355 zenon_H36e zenon_H32 zenon_H33 zenon_H3e zenon_H3f zenon_H3b zenon_H45 zenon_H4a zenon_H3c1 zenon_Hd7 zenon_H281.
% 54.76/54.97 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_Hb1 | zenon_intro zenon_Hf3 ].
% 54.76/54.97 apply (zenon_L30_); trivial.
% 54.76/54.97 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_Hd3 | zenon_intro zenon_Hf4 ].
% 54.76/54.97 apply (zenon_L546_); trivial.
% 54.76/54.97 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_Hd6 | zenon_intro zenon_He2 ].
% 54.76/54.97 exact (zenon_Hd7 zenon_Hd6).
% 54.76/54.97 exact (zenon_H281 zenon_He2).
% 54.76/54.97 (* end of lemma zenon_L547_ *)
% 54.76/54.97 assert (zenon_L548_ : ((~((op2 (e22) (e23)) = (e22)))\/(~((op2 (e22) (e22)) = (e23)))) -> ((op2 (e22) (e20)) = (e20)) -> (~((op2 (e22) (e22)) = (e21))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> ((e22) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> ((e23) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((e20) = (op2 (e21) (e21))) -> ((~((op2 (e23) (e23)) = (e21)))\/((op2 (e23) (e21)) = (e23))) -> (((op2 (e21) (e20)) = (e20))\/(((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e20)) = (e22))\/((op2 (e21) (e20)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> ((((op1 (e10) (op1 (e10) (e10))) = (e10))/\(((op1 (e10) (op1 (e10) (e11))) = (e11))/\(((op1 (e10) (op1 (e10) (e12))) = (e12))/\(((op1 (e10) (op1 (e10) (e13))) = (e13))/\(((~((op1 (e10) (e10)) = (e10)))\/((op1 (e10) (e10)) = (e10)))/\(((~((op1 (e11) (e11)) = (e10)))\/((op1 (e11) (e10)) = (e11)))/\(((~((op1 (e12) (e12)) = (e10)))\/((op1 (e12) (e10)) = (e12)))/\((~((op1 (e13) (e13)) = (e10)))\/((op1 (e13) (e10)) = (e13))))))))))\/((((op1 (e11) (op1 (e11) (e10))) = (e10))/\(((op1 (e11) (op1 (e11) (e11))) = (e11))/\(((op1 (e11) (op1 (e11) (e12))) = (e12))/\(((op1 (e11) (op1 (e11) (e13))) = (e13))/\(((~((op1 (e10) (e10)) = (e11)))\/((op1 (e10) (e11)) = (e10)))/\(((~((op1 (e11) (e11)) = (e11)))\/((op1 (e11) (e11)) = (e11)))/\(((~((op1 (e12) (e12)) = (e11)))\/((op1 (e12) (e11)) = (e12)))/\((~((op1 (e13) (e13)) = (e11)))\/((op1 (e13) (e11)) = (e13))))))))))\/((((op1 (e12) (op1 (e12) (e10))) = (e10))/\(((op1 (e12) (op1 (e12) (e11))) = (e11))/\(((op1 (e12) (op1 (e12) (e12))) = (e12))/\(((op1 (e12) (op1 (e12) (e13))) = (e13))/\(((~((op1 (e10) (e10)) = (e12)))\/((op1 (e10) (e12)) = (e10)))/\(((~((op1 (e11) (e11)) = (e12)))\/((op1 (e11) (e12)) = (e11)))/\(((~((op1 (e12) (e12)) = (e12)))\/((op1 (e12) (e12)) = (e12)))/\((~((op1 (e13) (e13)) = (e12)))\/((op1 (e13) (e12)) = (e13))))))))))\/(((op1 (e13) (op1 (e13) (e10))) = (e10))/\(((op1 (e13) (op1 (e13) (e11))) = (e11))/\(((op1 (e13) (op1 (e13) (e12))) = (e12))/\(((op1 (e13) (op1 (e13) (e13))) = (e13))/\(((~((op1 (e10) (e10)) = (e13)))\/((op1 (e10) (e13)) = (e10)))/\(((~((op1 (e11) (e11)) = (e13)))\/((op1 (e11) (e13)) = (e11)))/\(((~((op1 (e12) (e12)) = (e13)))\/((op1 (e12) (e13)) = (e12)))/\((~((op1 (e13) (e13)) = (e13)))\/((op1 (e13) (e13)) = (e13))))))))))))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e12) (e13)) = (e10))))) -> (((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e12) (e11)) = (e13))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> (((op2 (e20) (e21)) = (e20))\/(((op2 (e20) (e21)) = (e21))\/(((op2 (e20) (e21)) = (e22))\/((op2 (e20) (e21)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> (~((e21) = (e22))) -> (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> (~((op2 (e21) (e21)) = (e21))) -> (((op2 (e22) (e20)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e22) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (~((h2 (op1 (e10) (e13))) = (op2 (h2 (e10)) (h2 (e13))))) -> ((h2 (e12)) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> ((h2 (e13)) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((h2 (e10)) = (op2 (e21) (e21))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e21)) = (e22))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> ((op2 (e21) (op2 (e21) (e23))) = (e23)) -> (~((op2 (e21) (e22)) = (op2 (e21) (e23)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((e22) = (e23))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> (((op2 (e22) (e22)) = (e20))\/(((op2 (e22) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e22)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> ((op2 (e21) (op2 (e21) (e22))) = (e22)) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e21) (e20)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/((op2 (e21) (e23)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e22)))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e20) (e21)) = (e23))\/(((op2 (e20) (e22)) = (e23))\/((op2 (e20) (e23)) = (e23))))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> ((e10) = (op1 (e11) (e11))) -> ((((op1 (e10) (e10)) = (e10))/\(((op1 (e10) (e10)) = (e10))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11))))/\(((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12))))/\((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))))))))\/((((op1 (e10) (e11)) = (e10))/\(((op1 (e11) (e10)) = (e10))/\(((~((op1 (e11) (e10)) = (e11)))\/(~((op1 (e11) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e11) (e12)) = (e11)))\/(~((op1 (e11) (e11)) = (e12))))/\((~((op1 (e11) (e13)) = (e11)))\/(~((op1 (e11) (e11)) = (e13)))))))))\/((((op1 (e10) (e12)) = (e10))/\(((op1 (e12) (e10)) = (e10))/\(((~((op1 (e12) (e10)) = (e12)))\/(~((op1 (e12) (e12)) = (e10))))/\(((~((op1 (e12) (e11)) = (e12)))\/(~((op1 (e12) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13)))))))))\/((((op1 (e10) (e13)) = (e10))/\(((op1 (e13) (e10)) = (e10))/\(((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e13) (e13)) = (e10))))/\(((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11))))/\(((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e13) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13)))))))))\/((((op1 (e11) (e10)) = (e11))/\(((op1 (e10) (e11)) = (e11))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11))))/\(((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12))))/\((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))))))))\/((((op1 (e11) (e11)) = (e11))/\(((op1 (e11) (e11)) = (e11))/\(((~((op1 (e11) (e10)) = (e11)))\/(~((op1 (e11) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e11) (e12)) = (e11)))\/(~((op1 (e11) (e11)) = (e12))))/\((~((op1 (e11) (e13)) = (e11)))\/(~((op1 (e11) (e11)) = (e13)))))))))\/((((op1 (e11) (e12)) = (e11))/\(((op1 (e12) (e11)) = (e11))/\(((~((op1 (e12) (e10)) = (e12)))\/(~((op1 (e12) (e12)) = (e10))))/\(((~((op1 (e12) (e11)) = (e12)))\/(~((op1 (e12) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13)))))))))\/((((op1 (e11) (e13)) = (e11))/\(((op1 (e13) (e11)) = (e11))/\(((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e13) (e13)) = (e10))))/\(((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11))))/\(((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e13) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13)))))))))\/((((op1 (e12) (e10)) = (e12))/\(((op1 (e10) (e12)) = (e12))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11))))/\(((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12))))/\((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))))))))\/((((op1 (e12) (e11)) = (e12))/\(((op1 (e11) (e12)) = (e12))/\(((~((op1 (e11) (e10)) = (e11)))\/(~((op1 (e11) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e11) (e12)) = (e11)))\/(~((op1 (e11) (e11)) = (e12))))/\((~((op1 (e11) (e13)) = (e11)))\/(~((op1 (e11) (e11)) = (e13)))))))))\/((((op1 (e12) (e12)) = (e12))/\(((op1 (e12) (e12)) = (e12))/\(((~((op1 (e12) (e10)) = (e12)))\/(~((op1 (e12) (e12)) = (e10))))/\(((~((op1 (e12) (e11)) = (e12)))\/(~((op1 (e12) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13)))))))))\/((((op1 (e12) (e13)) = (e12))/\(((op1 (e13) (e12)) = (e12))/\(((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e13) (e13)) = (e10))))/\(((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11))))/\(((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e13) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13)))))))))\/((((op1 (e13) (e10)) = (e13))/\(((op1 (e10) (e13)) = (e13))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11))))/\(((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12))))/\((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))))))))\/((((op1 (e13) (e11)) = (e13))/\(((op1 (e11) (e13)) = (e13))/\(((~((op1 (e11) (e10)) = (e11)))\/(~((op1 (e11) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e11) (e12)) = (e11)))\/(~((op1 (e11) (e11)) = (e12))))/\((~((op1 (e11) (e13)) = (e11)))\/(~((op1 (e11) (e11)) = (e13)))))))))\/((((op1 (e13) (e12)) = (e13))/\(((op1 (e12) (e13)) = (e13))/\(((~((op1 (e12) (e10)) = (e12)))\/(~((op1 (e12) (e12)) = (e10))))/\(((~((op1 (e12) (e11)) = (e12)))\/(~((op1 (e12) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13)))))))))\/(((op1 (e13) (e13)) = (e13))/\(((op1 (e13) (e13)) = (e13))/\(((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e13) (e13)) = (e10))))/\(((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11))))/\(((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e13) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13)))))))))))))))))))))))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((e12) = (e13))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e13) (e13)) = (e10))\/(((op1 (e13) (e13)) = (e11))\/(((op1 (e13) (e13)) = (e12))\/((op1 (e13) (e13)) = (e13))))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (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) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e11)) = (e12))\/((op1 (e10) (e11)) = (e13))))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((e10) = (e12))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> ((e12) = (op1 (op1 (op1 (e11) (e11)) (op1 (e11) (e11))) (op1 (e11) (e11)))) -> ((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e12))\/((op1 (e11) (e10)) = (e13))))) -> (((op2 (e23) (e23)) = (e20))\/(((op2 (e23) (e23)) = (e21))\/(((op2 (e23) (e23)) = (e22))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> ((((op2 (e20) (e20)) = (e20))/\(((op2 (e20) (e20)) = (e20))/\(((~((op2 (e20) (e20)) = (e20)))\/(~((op2 (e20) (e20)) = (e20))))/\(((~((op2 (e20) (e21)) = (e20)))\/(~((op2 (e20) (e20)) = (e21))))/\(((~((op2 (e20) (e22)) = (e20)))\/(~((op2 (e20) (e20)) = (e22))))/\((~((op2 (e20) (e23)) = (e20)))\/(~((op2 (e20) (e20)) = (e23)))))))))\/((((op2 (e20) (e21)) = (e20))/\(((op2 (e21) (e20)) = (e20))/\(((~((op2 (e21) (e20)) = (e21)))\/(~((op2 (e21) (e21)) = (e20))))/\(((~((op2 (e21) (e21)) = (e21)))\/(~((op2 (e21) (e21)) = (e21))))/\(((~((op2 (e21) (e22)) = (e21)))\/(~((op2 (e21) (e21)) = (e22))))/\((~((op2 (e21) (e23)) = (e21)))\/(~((op2 (e21) (e21)) = (e23)))))))))\/((((op2 (e20) (e22)) = (e20))/\(((op2 (e22) (e20)) = (e20))/\(((~((op2 (e22) (e20)) = (e22)))\/(~((op2 (e22) (e22)) = (e20))))/\(((~((op2 (e22) (e21)) = (e22)))\/(~((op2 (e22) (e22)) = (e21))))/\(((~((op2 (e22) (e22)) = (e22)))\/(~((op2 (e22) (e22)) = (e22))))/\((~((op2 (e22) (e23)) = (e22)))\/(~((op2 (e22) (e22)) = (e23)))))))))\/((((op2 (e20) (e23)) = (e20))/\(((op2 (e23) (e20)) = (e20))/\(((~((op2 (e23) (e20)) = (e23)))\/(~((op2 (e23) (e23)) = (e20))))/\(((~((op2 (e23) (e21)) = (e23)))\/(~((op2 (e23) (e23)) = (e21))))/\(((~((op2 (e23) (e22)) = (e23)))\/(~((op2 (e23) (e23)) = (e22))))/\((~((op2 (e23) (e23)) = (e23)))\/(~((op2 (e23) (e23)) = (e23)))))))))\/((((op2 (e21) (e20)) = (e21))/\(((op2 (e20) (e21)) = (e21))/\(((~((op2 (e20) (e20)) = (e20)))\/(~((op2 (e20) (e20)) = (e20))))/\(((~((op2 (e20) (e21)) = (e20)))\/(~((op2 (e20) (e20)) = (e21))))/\(((~((op2 (e20) (e22)) = (e20)))\/(~((op2 (e20) (e20)) = (e22))))/\((~((op2 (e20) (e23)) = (e20)))\/(~((op2 (e20) (e20)) = (e23)))))))))\/((((op2 (e21) (e21)) = (e21))/\(((op2 (e21) (e21)) = (e21))/\(((~((op2 (e21) (e20)) = (e21)))\/(~((op2 (e21) (e21)) = (e20))))/\(((~((op2 (e21) (e21)) = (e21)))\/(~((op2 (e21) (e21)) = (e21))))/\(((~((op2 (e21) (e22)) = (e21)))\/(~((op2 (e21) (e21)) = (e22))))/\((~((op2 (e21) (e23)) = (e21)))\/(~((op2 (e21) (e21)) = (e23)))))))))\/((((op2 (e21) (e22)) = (e21))/\(((op2 (e22) (e21)) = (e21))/\(((~((op2 (e22) (e20)) = (e22)))\/(~((op2 (e22) (e22)) = (e20))))/\(((~((op2 (e22) (e21)) = (e22)))\/(~((op2 (e22) (e22)) = (e21))))/\(((~((op2 (e22) (e22)) = (e22)))\/(~((op2 (e22) (e22)) = (e22))))/\((~((op2 (e22) (e23)) = (e22)))\/(~((op2 (e22) (e22)) = (e23)))))))))\/((((op2 (e21) (e23)) = (e21))/\(((op2 (e23) (e21)) = (e21))/\(((~((op2 (e23) (e20)) = (e23)))\/(~((op2 (e23) (e23)) = (e20))))/\(((~((op2 (e23) (e21)) = (e23)))\/(~((op2 (e23) (e23)) = (e21))))/\(((~((op2 (e23) (e22)) = (e23)))\/(~((op2 (e23) (e23)) = (e22))))/\((~((op2 (e23) (e23)) = (e23)))\/(~((op2 (e23) (e23)) = (e23)))))))))\/((((op2 (e22) (e20)) = (e22))/\(((op2 (e20) (e22)) = (e22))/\(((~((op2 (e20) (e20)) = (e20)))\/(~((op2 (e20) (e20)) = (e20))))/\(((~((op2 (e20) (e21)) = (e20)))\/(~((op2 (e20) (e20)) = (e21))))/\(((~((op2 (e20) (e22)) = (e20)))\/(~((op2 (e20) (e20)) = (e22))))/\((~((op2 (e20) (e23)) = (e20)))\/(~((op2 (e20) (e20)) = (e23)))))))))\/((((op2 (e22) (e21)) = (e22))/\(((op2 (e21) (e22)) = (e22))/\(((~((op2 (e21) (e20)) = (e21)))\/(~((op2 (e21) (e21)) = (e20))))/\(((~((op2 (e21) (e21)) = (e21)))\/(~((op2 (e21) (e21)) = (e21))))/\(((~((op2 (e21) (e22)) = (e21)))\/(~((op2 (e21) (e21)) = (e22))))/\((~((op2 (e21) (e23)) = (e21)))\/(~((op2 (e21) (e21)) = (e23)))))))))\/((((op2 (e22) (e22)) = (e22))/\(((op2 (e22) (e22)) = (e22))/\(((~((op2 (e22) (e20)) = (e22)))\/(~((op2 (e22) (e22)) = (e20))))/\(((~((op2 (e22) (e21)) = (e22)))\/(~((op2 (e22) (e22)) = (e21))))/\(((~((op2 (e22) (e22)) = (e22)))\/(~((op2 (e22) (e22)) = (e22))))/\((~((op2 (e22) (e23)) = (e22)))\/(~((op2 (e22) (e22)) = (e23)))))))))\/((((op2 (e22) (e23)) = (e22))/\(((op2 (e23) (e22)) = (e22))/\(((~((op2 (e23) (e20)) = (e23)))\/(~((op2 (e23) (e23)) = (e20))))/\(((~((op2 (e23) (e21)) = (e23)))\/(~((op2 (e23) (e23)) = (e21))))/\(((~((op2 (e23) (e22)) = (e23)))\/(~((op2 (e23) (e23)) = (e22))))/\((~((op2 (e23) (e23)) = (e23)))\/(~((op2 (e23) (e23)) = (e23)))))))))\/((((op2 (e23) (e20)) = (e23))/\(((op2 (e20) (e23)) = (e23))/\(((~((op2 (e20) (e20)) = (e20)))\/(~((op2 (e20) (e20)) = (e20))))/\(((~((op2 (e20) (e21)) = (e20)))\/(~((op2 (e20) (e20)) = (e21))))/\(((~((op2 (e20) (e22)) = (e20)))\/(~((op2 (e20) (e20)) = (e22))))/\((~((op2 (e20) (e23)) = (e20)))\/(~((op2 (e20) (e20)) = (e23)))))))))\/((((op2 (e23) (e21)) = (e23))/\(((op2 (e21) (e23)) = (e23))/\(((~((op2 (e21) (e20)) = (e21)))\/(~((op2 (e21) (e21)) = (e20))))/\(((~((op2 (e21) (e21)) = (e21)))\/(~((op2 (e21) (e21)) = (e21))))/\(((~((op2 (e21) (e22)) = (e21)))\/(~((op2 (e21) (e21)) = (e22))))/\((~((op2 (e21) (e23)) = (e21)))\/(~((op2 (e21) (e21)) = (e23)))))))))\/((((op2 (e23) (e22)) = (e23))/\(((op2 (e22) (e23)) = (e23))/\(((~((op2 (e22) (e20)) = (e22)))\/(~((op2 (e22) (e22)) = (e20))))/\(((~((op2 (e22) (e21)) = (e22)))\/(~((op2 (e22) (e22)) = (e21))))/\(((~((op2 (e22) (e22)) = (e22)))\/(~((op2 (e22) (e22)) = (e22))))/\((~((op2 (e22) (e23)) = (e22)))\/(~((op2 (e22) (e22)) = (e23)))))))))\/(((op2 (e23) (e23)) = (e23))/\(((op2 (e23) (e23)) = (e23))/\(((~((op2 (e23) (e20)) = (e23)))\/(~((op2 (e23) (e23)) = (e20))))/\(((~((op2 (e23) (e21)) = (e23)))\/(~((op2 (e23) (e23)) = (e21))))/\(((~((op2 (e23) (e22)) = (e23)))\/(~((op2 (e23) (e23)) = (e22))))/\((~((op2 (e23) (e23)) = (e23)))\/(~((op2 (e23) (e23)) = (e23)))))))))))))))))))))))) -> (~((op2 (e22) (e22)) = (e22))) -> False).
% 54.76/54.97 do 0 intro. intros zenon_Hdf zenon_H121 zenon_H101 zenon_Hb0 zenon_H3f zenon_H3b zenon_H33 zenon_H3c1 zenon_H4a zenon_H45 zenon_H3e zenon_H32 zenon_H36e zenon_H355 zenon_H345 zenon_H35d zenon_H2d1 zenon_H2c9 zenon_H2d9 zenon_H2e6 zenon_H2e2 zenon_H2ea zenon_H30b zenon_H321 zenon_H322 zenon_H325 zenon_H2f6 zenon_H2fb zenon_H2fd zenon_H28c zenon_H289 zenon_H93 zenon_H286 zenon_H8d zenon_H27e zenon_Hf1 zenon_H28d zenon_H3f1 zenon_H116 zenon_H2ad zenon_H32b zenon_H316 zenon_H360 zenon_H2f8 zenon_H301 zenon_H2b9 zenon_H30e zenon_H2e7 zenon_H358 zenon_H2c0 zenon_H463 zenon_H44f zenon_H461 zenon_H26c zenon_H32e zenon_H2c2 zenon_H2a3 zenon_H2a5 zenon_H2b1 zenon_H313 zenon_H474 zenon_H3b4 zenon_H39d zenon_H282 zenon_H60 zenon_H3af zenon_H3b1 zenon_H47c zenon_H395 zenon_H47a zenon_H9f zenon_H6e zenon_H47e zenon_Hec zenon_H11f zenon_H37d zenon_H100 zenon_H3a8 zenon_H481 zenon_H394 zenon_H399 zenon_H98 zenon_Ha5 zenon_H328 zenon_H485 zenon_H13 zenon_H245 zenon_H23b zenon_H236 zenon_H21a zenon_H20c zenon_H1be zenon_H1b1 zenon_H1de zenon_H1cc zenon_H1d8 zenon_H1da zenon_H1e8 zenon_H1ed zenon_H1f4 zenon_H1f7 zenon_H1fa zenon_H1fd zenon_H204 zenon_H206 zenon_H209 zenon_H1a9 zenon_H17 zenon_H1e zenon_H25 zenon_H1a0 zenon_H19d zenon_H246 zenon_H192 zenon_H18e zenon_H18a zenon_H16c zenon_H172 zenon_H179 zenon_H180 zenon_H186 zenon_H14b zenon_H154 zenon_H155 zenon_H15 zenon_H15a zenon_H15f zenon_H382 zenon_H3c2 zenon_H489 zenon_Hc5 zenon_Hca zenon_H67 zenon_H38f zenon_H128 zenon_Hd7.
% 54.76/54.97 apply (zenon_or_s _ _ zenon_Hdf); [ zenon_intro zenon_H281 | zenon_intro zenon_H37f ].
% 54.76/54.97 apply (zenon_L547_); trivial.
% 54.76/54.97 apply (zenon_L310_); trivial.
% 54.76/54.97 (* end of lemma zenon_L548_ *)
% 54.76/54.97 assert (zenon_L549_ : (((op2 (e20) (e22)) = (e20))/\(((op2 (e22) (e20)) = (e20))/\(((~((op2 (e22) (e20)) = (e22)))\/(~((op2 (e22) (e22)) = (e20))))/\(((~((op2 (e22) (e21)) = (e22)))\/(~((op2 (e22) (e22)) = (e21))))/\(((~((op2 (e22) (e22)) = (e22)))\/(~((op2 (e22) (e22)) = (e22))))/\((~((op2 (e22) (e23)) = (e22)))\/(~((op2 (e22) (e22)) = (e23))))))))) -> ((((op2 (e20) (e20)) = (e20))/\(((op2 (e20) (e20)) = (e20))/\(((~((op2 (e20) (e20)) = (e20)))\/(~((op2 (e20) (e20)) = (e20))))/\(((~((op2 (e20) (e21)) = (e20)))\/(~((op2 (e20) (e20)) = (e21))))/\(((~((op2 (e20) (e22)) = (e20)))\/(~((op2 (e20) (e20)) = (e22))))/\((~((op2 (e20) (e23)) = (e20)))\/(~((op2 (e20) (e20)) = (e23)))))))))\/((((op2 (e20) (e21)) = (e20))/\(((op2 (e21) (e20)) = (e20))/\(((~((op2 (e21) (e20)) = (e21)))\/(~((op2 (e21) (e21)) = (e20))))/\(((~((op2 (e21) (e21)) = (e21)))\/(~((op2 (e21) (e21)) = (e21))))/\(((~((op2 (e21) (e22)) = (e21)))\/(~((op2 (e21) (e21)) = (e22))))/\((~((op2 (e21) (e23)) = (e21)))\/(~((op2 (e21) (e21)) = (e23)))))))))\/((((op2 (e20) (e22)) = (e20))/\(((op2 (e22) (e20)) = (e20))/\(((~((op2 (e22) (e20)) = (e22)))\/(~((op2 (e22) (e22)) = (e20))))/\(((~((op2 (e22) (e21)) = (e22)))\/(~((op2 (e22) (e22)) = (e21))))/\(((~((op2 (e22) (e22)) = (e22)))\/(~((op2 (e22) (e22)) = (e22))))/\((~((op2 (e22) (e23)) = (e22)))\/(~((op2 (e22) (e22)) = (e23)))))))))\/((((op2 (e20) (e23)) = (e20))/\(((op2 (e23) (e20)) = (e20))/\(((~((op2 (e23) (e20)) = (e23)))\/(~((op2 (e23) (e23)) = (e20))))/\(((~((op2 (e23) (e21)) = (e23)))\/(~((op2 (e23) (e23)) = (e21))))/\(((~((op2 (e23) (e22)) = (e23)))\/(~((op2 (e23) (e23)) = (e22))))/\((~((op2 (e23) (e23)) = (e23)))\/(~((op2 (e23) (e23)) = (e23)))))))))\/((((op2 (e21) (e20)) = (e21))/\(((op2 (e20) (e21)) = (e21))/\(((~((op2 (e20) (e20)) = (e20)))\/(~((op2 (e20) (e20)) = (e20))))/\(((~((op2 (e20) (e21)) = (e20)))\/(~((op2 (e20) (e20)) = (e21))))/\(((~((op2 (e20) (e22)) = (e20)))\/(~((op2 (e20) (e20)) = (e22))))/\((~((op2 (e20) (e23)) = (e20)))\/(~((op2 (e20) (e20)) = (e23)))))))))\/((((op2 (e21) (e21)) = (e21))/\(((op2 (e21) (e21)) = (e21))/\(((~((op2 (e21) (e20)) = (e21)))\/(~((op2 (e21) (e21)) = (e20))))/\(((~((op2 (e21) (e21)) = (e21)))\/(~((op2 (e21) (e21)) = (e21))))/\(((~((op2 (e21) (e22)) = (e21)))\/(~((op2 (e21) (e21)) = (e22))))/\((~((op2 (e21) (e23)) = (e21)))\/(~((op2 (e21) (e21)) = (e23)))))))))\/((((op2 (e21) (e22)) = (e21))/\(((op2 (e22) (e21)) = (e21))/\(((~((op2 (e22) (e20)) = (e22)))\/(~((op2 (e22) (e22)) = (e20))))/\(((~((op2 (e22) (e21)) = (e22)))\/(~((op2 (e22) (e22)) = (e21))))/\(((~((op2 (e22) (e22)) = (e22)))\/(~((op2 (e22) (e22)) = (e22))))/\((~((op2 (e22) (e23)) = (e22)))\/(~((op2 (e22) (e22)) = (e23)))))))))\/((((op2 (e21) (e23)) = (e21))/\(((op2 (e23) (e21)) = (e21))/\(((~((op2 (e23) (e20)) = (e23)))\/(~((op2 (e23) (e23)) = (e20))))/\(((~((op2 (e23) (e21)) = (e23)))\/(~((op2 (e23) (e23)) = (e21))))/\(((~((op2 (e23) (e22)) = (e23)))\/(~((op2 (e23) (e23)) = (e22))))/\((~((op2 (e23) (e23)) = (e23)))\/(~((op2 (e23) (e23)) = (e23)))))))))\/((((op2 (e22) (e20)) = (e22))/\(((op2 (e20) (e22)) = (e22))/\(((~((op2 (e20) (e20)) = (e20)))\/(~((op2 (e20) (e20)) = (e20))))/\(((~((op2 (e20) (e21)) = (e20)))\/(~((op2 (e20) (e20)) = (e21))))/\(((~((op2 (e20) (e22)) = (e20)))\/(~((op2 (e20) (e20)) = (e22))))/\((~((op2 (e20) (e23)) = (e20)))\/(~((op2 (e20) (e20)) = (e23)))))))))\/((((op2 (e22) (e21)) = (e22))/\(((op2 (e21) (e22)) = (e22))/\(((~((op2 (e21) (e20)) = (e21)))\/(~((op2 (e21) (e21)) = (e20))))/\(((~((op2 (e21) (e21)) = (e21)))\/(~((op2 (e21) (e21)) = (e21))))/\(((~((op2 (e21) (e22)) = (e21)))\/(~((op2 (e21) (e21)) = (e22))))/\((~((op2 (e21) (e23)) = (e21)))\/(~((op2 (e21) (e21)) = (e23)))))))))\/((((op2 (e22) (e22)) = (e22))/\(((op2 (e22) (e22)) = (e22))/\(((~((op2 (e22) (e20)) = (e22)))\/(~((op2 (e22) (e22)) = (e20))))/\(((~((op2 (e22) (e21)) = (e22)))\/(~((op2 (e22) (e22)) = (e21))))/\(((~((op2 (e22) (e22)) = (e22)))\/(~((op2 (e22) (e22)) = (e22))))/\((~((op2 (e22) (e23)) = (e22)))\/(~((op2 (e22) (e22)) = (e23)))))))))\/((((op2 (e22) (e23)) = (e22))/\(((op2 (e23) (e22)) = (e22))/\(((~((op2 (e23) (e20)) = (e23)))\/(~((op2 (e23) (e23)) = (e20))))/\(((~((op2 (e23) (e21)) = (e23)))\/(~((op2 (e23) (e23)) = (e21))))/\(((~((op2 (e23) (e22)) = (e23)))\/(~((op2 (e23) (e23)) = (e22))))/\((~((op2 (e23) (e23)) = (e23)))\/(~((op2 (e23) (e23)) = (e23)))))))))\/((((op2 (e23) (e20)) = (e23))/\(((op2 (e20) (e23)) = (e23))/\(((~((op2 (e20) (e20)) = (e20)))\/(~((op2 (e20) (e20)) = (e20))))/\(((~((op2 (e20) (e21)) = (e20)))\/(~((op2 (e20) (e20)) = (e21))))/\(((~((op2 (e20) (e22)) = (e20)))\/(~((op2 (e20) (e20)) = (e22))))/\((~((op2 (e20) (e23)) = (e20)))\/(~((op2 (e20) (e20)) = (e23)))))))))\/((((op2 (e23) (e21)) = (e23))/\(((op2 (e21) (e23)) = (e23))/\(((~((op2 (e21) (e20)) = (e21)))\/(~((op2 (e21) (e21)) = (e20))))/\(((~((op2 (e21) (e21)) = (e21)))\/(~((op2 (e21) (e21)) = (e21))))/\(((~((op2 (e21) (e22)) = (e21)))\/(~((op2 (e21) (e21)) = (e22))))/\((~((op2 (e21) (e23)) = (e21)))\/(~((op2 (e21) (e21)) = (e23)))))))))\/((((op2 (e23) (e22)) = (e23))/\(((op2 (e22) (e23)) = (e23))/\(((~((op2 (e22) (e20)) = (e22)))\/(~((op2 (e22) (e22)) = (e20))))/\(((~((op2 (e22) (e21)) = (e22)))\/(~((op2 (e22) (e22)) = (e21))))/\(((~((op2 (e22) (e22)) = (e22)))\/(~((op2 (e22) (e22)) = (e22))))/\((~((op2 (e22) (e23)) = (e22)))\/(~((op2 (e22) (e22)) = (e23)))))))))\/(((op2 (e23) (e23)) = (e23))/\(((op2 (e23) (e23)) = (e23))/\(((~((op2 (e23) (e20)) = (e23)))\/(~((op2 (e23) (e23)) = (e20))))/\(((~((op2 (e23) (e21)) = (e23)))\/(~((op2 (e23) (e23)) = (e21))))/\(((~((op2 (e23) (e22)) = (e23)))\/(~((op2 (e23) (e23)) = (e22))))/\((~((op2 (e23) (e23)) = (e23)))\/(~((op2 (e23) (e23)) = (e23)))))))))))))))))))))))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e23)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> (((op2 (e23) (e23)) = (e20))\/(((op2 (e23) (e23)) = (e21))\/(((op2 (e23) (e23)) = (e22))\/((op2 (e23) (e23)) = (e23))))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e12))\/((op1 (e11) (e10)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> ((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) -> ((e12) = (op1 (op1 (op1 (e11) (e11)) (op1 (e11) (e11))) (op1 (e11) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((e10) = (e12))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e11)) = (e12))\/((op1 (e10) (e11)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (((op1 (e13) (e13)) = (e10))\/(((op1 (e13) (e13)) = (e11))\/(((op1 (e13) (e13)) = (e12))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (~((e12) = (e13))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> ((((op1 (e10) (e10)) = (e10))/\(((op1 (e10) (e10)) = (e10))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11))))/\(((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12))))/\((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))))))))\/((((op1 (e10) (e11)) = (e10))/\(((op1 (e11) (e10)) = (e10))/\(((~((op1 (e11) (e10)) = (e11)))\/(~((op1 (e11) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e11) (e12)) = (e11)))\/(~((op1 (e11) (e11)) = (e12))))/\((~((op1 (e11) (e13)) = (e11)))\/(~((op1 (e11) (e11)) = (e13)))))))))\/((((op1 (e10) (e12)) = (e10))/\(((op1 (e12) (e10)) = (e10))/\(((~((op1 (e12) (e10)) = (e12)))\/(~((op1 (e12) (e12)) = (e10))))/\(((~((op1 (e12) (e11)) = (e12)))\/(~((op1 (e12) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13)))))))))\/((((op1 (e10) (e13)) = (e10))/\(((op1 (e13) (e10)) = (e10))/\(((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e13) (e13)) = (e10))))/\(((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11))))/\(((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e13) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13)))))))))\/((((op1 (e11) (e10)) = (e11))/\(((op1 (e10) (e11)) = (e11))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11))))/\(((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12))))/\((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))))))))\/((((op1 (e11) (e11)) = (e11))/\(((op1 (e11) (e11)) = (e11))/\(((~((op1 (e11) (e10)) = (e11)))\/(~((op1 (e11) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e11) (e12)) = (e11)))\/(~((op1 (e11) (e11)) = (e12))))/\((~((op1 (e11) (e13)) = (e11)))\/(~((op1 (e11) (e11)) = (e13)))))))))\/((((op1 (e11) (e12)) = (e11))/\(((op1 (e12) (e11)) = (e11))/\(((~((op1 (e12) (e10)) = (e12)))\/(~((op1 (e12) (e12)) = (e10))))/\(((~((op1 (e12) (e11)) = (e12)))\/(~((op1 (e12) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13)))))))))\/((((op1 (e11) (e13)) = (e11))/\(((op1 (e13) (e11)) = (e11))/\(((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e13) (e13)) = (e10))))/\(((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11))))/\(((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e13) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13)))))))))\/((((op1 (e12) (e10)) = (e12))/\(((op1 (e10) (e12)) = (e12))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11))))/\(((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12))))/\((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))))))))\/((((op1 (e12) (e11)) = (e12))/\(((op1 (e11) (e12)) = (e12))/\(((~((op1 (e11) (e10)) = (e11)))\/(~((op1 (e11) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e11) (e12)) = (e11)))\/(~((op1 (e11) (e11)) = (e12))))/\((~((op1 (e11) (e13)) = (e11)))\/(~((op1 (e11) (e11)) = (e13)))))))))\/((((op1 (e12) (e12)) = (e12))/\(((op1 (e12) (e12)) = (e12))/\(((~((op1 (e12) (e10)) = (e12)))\/(~((op1 (e12) (e12)) = (e10))))/\(((~((op1 (e12) (e11)) = (e12)))\/(~((op1 (e12) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13)))))))))\/((((op1 (e12) (e13)) = (e12))/\(((op1 (e13) (e12)) = (e12))/\(((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e13) (e13)) = (e10))))/\(((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11))))/\(((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e13) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13)))))))))\/((((op1 (e13) (e10)) = (e13))/\(((op1 (e10) (e13)) = (e13))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11))))/\(((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12))))/\((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))))))))\/((((op1 (e13) (e11)) = (e13))/\(((op1 (e11) (e13)) = (e13))/\(((~((op1 (e11) (e10)) = (e11)))\/(~((op1 (e11) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e11) (e12)) = (e11)))\/(~((op1 (e11) (e11)) = (e12))))/\((~((op1 (e11) (e13)) = (e11)))\/(~((op1 (e11) (e11)) = (e13)))))))))\/((((op1 (e13) (e12)) = (e13))/\(((op1 (e12) (e13)) = (e13))/\(((~((op1 (e12) (e10)) = (e12)))\/(~((op1 (e12) (e12)) = (e10))))/\(((~((op1 (e12) (e11)) = (e12)))\/(~((op1 (e12) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13)))))))))\/(((op1 (e13) (e13)) = (e13))/\(((op1 (e13) (e13)) = (e13))/\(((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e13) (e13)) = (e10))))/\(((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11))))/\(((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e13) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13)))))))))))))))))))))))) -> ((e10) = (op1 (e11) (e11))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e20) (e21)) = (e23))\/(((op2 (e20) (e22)) = (e23))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e22)))) -> (((op2 (e21) (e20)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/((op2 (e21) (e23)) = (e23))))) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> ((op2 (e21) (op2 (e21) (e22))) = (e22)) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (((op2 (e22) (e22)) = (e20))\/(((op2 (e22) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e22)) = (e23))))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> (~((e22) = (e23))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (~((op2 (e21) (e22)) = (op2 (e21) (e23)))) -> ((op2 (e21) (op2 (e21) (e23))) = (e23)) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e21)) = (e22))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> ((h2 (e10)) = (op2 (e21) (e21))) -> ((h2 (e13)) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((h2 (e12)) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> (~((h2 (op1 (e10) (e13))) = (op2 (h2 (e10)) (h2 (e13))))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e22) (e20)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e22) (e23)) = (e23))))) -> (~((op2 (e21) (e21)) = (e21))) -> (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> (~((e21) = (e22))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> (((op2 (e20) (e21)) = (e20))\/(((op2 (e20) (e21)) = (e21))\/(((op2 (e20) (e21)) = (e22))\/((op2 (e20) (e21)) = (e23))))) -> (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> (((op1 (e10) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e12) (e11)) = (e13))))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e12) (e13)) = (e10))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> ((((op1 (e10) (op1 (e10) (e10))) = (e10))/\(((op1 (e10) (op1 (e10) (e11))) = (e11))/\(((op1 (e10) (op1 (e10) (e12))) = (e12))/\(((op1 (e10) (op1 (e10) (e13))) = (e13))/\(((~((op1 (e10) (e10)) = (e10)))\/((op1 (e10) (e10)) = (e10)))/\(((~((op1 (e11) (e11)) = (e10)))\/((op1 (e11) (e10)) = (e11)))/\(((~((op1 (e12) (e12)) = (e10)))\/((op1 (e12) (e10)) = (e12)))/\((~((op1 (e13) (e13)) = (e10)))\/((op1 (e13) (e10)) = (e13))))))))))\/((((op1 (e11) (op1 (e11) (e10))) = (e10))/\(((op1 (e11) (op1 (e11) (e11))) = (e11))/\(((op1 (e11) (op1 (e11) (e12))) = (e12))/\(((op1 (e11) (op1 (e11) (e13))) = (e13))/\(((~((op1 (e10) (e10)) = (e11)))\/((op1 (e10) (e11)) = (e10)))/\(((~((op1 (e11) (e11)) = (e11)))\/((op1 (e11) (e11)) = (e11)))/\(((~((op1 (e12) (e12)) = (e11)))\/((op1 (e12) (e11)) = (e12)))/\((~((op1 (e13) (e13)) = (e11)))\/((op1 (e13) (e11)) = (e13))))))))))\/((((op1 (e12) (op1 (e12) (e10))) = (e10))/\(((op1 (e12) (op1 (e12) (e11))) = (e11))/\(((op1 (e12) (op1 (e12) (e12))) = (e12))/\(((op1 (e12) (op1 (e12) (e13))) = (e13))/\(((~((op1 (e10) (e10)) = (e12)))\/((op1 (e10) (e12)) = (e10)))/\(((~((op1 (e11) (e11)) = (e12)))\/((op1 (e11) (e12)) = (e11)))/\(((~((op1 (e12) (e12)) = (e12)))\/((op1 (e12) (e12)) = (e12)))/\((~((op1 (e13) (e13)) = (e12)))\/((op1 (e13) (e12)) = (e13))))))))))\/(((op1 (e13) (op1 (e13) (e10))) = (e10))/\(((op1 (e13) (op1 (e13) (e11))) = (e11))/\(((op1 (e13) (op1 (e13) (e12))) = (e12))/\(((op1 (e13) (op1 (e13) (e13))) = (e13))/\(((~((op1 (e10) (e10)) = (e13)))\/((op1 (e10) (e13)) = (e10)))/\(((~((op1 (e11) (e11)) = (e13)))\/((op1 (e11) (e13)) = (e11)))/\(((~((op1 (e12) (e12)) = (e13)))\/((op1 (e12) (e13)) = (e12)))/\((~((op1 (e13) (e13)) = (e13)))\/((op1 (e13) (e13)) = (e13))))))))))))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (((op2 (e21) (e20)) = (e20))\/(((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e20)) = (e22))\/((op2 (e21) (e20)) = (e23))))) -> ((~((op2 (e23) (e23)) = (e21)))\/((op2 (e23) (e21)) = (e23))) -> ((e20) = (op2 (e21) (e21))) -> ((e23) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((e22) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e22) (e22)) = (e21))) -> False).
% 54.76/54.97 do 0 intro. intros zenon_H77 zenon_H128 zenon_H38f zenon_H67 zenon_Hca zenon_Hc5 zenon_H489 zenon_H3c2 zenon_H382 zenon_H15f zenon_H15a zenon_H15 zenon_H155 zenon_H154 zenon_H14b zenon_H186 zenon_H180 zenon_H179 zenon_H172 zenon_H16c zenon_H18a zenon_H18e zenon_H192 zenon_H246 zenon_H19d zenon_H1a0 zenon_H25 zenon_H1e zenon_H17 zenon_H1a9 zenon_H209 zenon_H206 zenon_H204 zenon_H1fd zenon_H1fa zenon_H1f7 zenon_H1f4 zenon_H1ed zenon_H1e8 zenon_H1da zenon_H1d8 zenon_H1cc zenon_H1de zenon_H1b1 zenon_H1be zenon_H20c zenon_H21a zenon_H236 zenon_H23b zenon_H245 zenon_H13 zenon_H485 zenon_H328 zenon_Ha5 zenon_H98 zenon_H399 zenon_H394 zenon_H481 zenon_H3a8 zenon_H100 zenon_H37d zenon_H11f zenon_Hec zenon_H47e zenon_H6e zenon_H9f zenon_H47a zenon_H395 zenon_H47c zenon_H3b1 zenon_H3af zenon_H60 zenon_H282 zenon_H39d zenon_H3b4 zenon_H474 zenon_H313 zenon_H2b1 zenon_H2a5 zenon_H2a3 zenon_H2c2 zenon_H32e zenon_H26c zenon_H461 zenon_H44f zenon_H463 zenon_H2c0 zenon_H358 zenon_H2e7 zenon_H30e zenon_H2b9 zenon_H301 zenon_H2f8 zenon_H360 zenon_H316 zenon_H32b zenon_H2ad zenon_H116 zenon_H3f1 zenon_H28d zenon_Hf1 zenon_H27e zenon_H8d zenon_H286 zenon_H93 zenon_H289 zenon_H28c zenon_H2fd zenon_H2fb zenon_H2f6 zenon_H325 zenon_H322 zenon_H321 zenon_H30b zenon_H2ea zenon_H2e2 zenon_H2e6 zenon_H2d9 zenon_H2c9 zenon_H2d1 zenon_H35d zenon_H345 zenon_H355 zenon_H36e zenon_H32 zenon_H3e zenon_H45 zenon_H4a zenon_H3c1 zenon_H33 zenon_H3b zenon_H3f zenon_Hb0 zenon_H101.
% 54.76/54.97 apply (zenon_and_s _ _ zenon_H77). zenon_intro zenon_H57. zenon_intro zenon_H78.
% 54.76/54.97 apply (zenon_and_s _ _ zenon_H78). zenon_intro zenon_H121. zenon_intro zenon_Hda.
% 54.76/54.97 apply (zenon_and_s _ _ zenon_Hda). zenon_intro zenon_Hdc. zenon_intro zenon_Hdb.
% 54.76/54.97 apply (zenon_and_s _ _ zenon_Hdb). zenon_intro zenon_Hde. zenon_intro zenon_Hdd.
% 54.76/54.97 apply (zenon_and_s _ _ zenon_Hdd). zenon_intro zenon_Hd5. zenon_intro zenon_Hdf.
% 54.76/54.97 apply (zenon_or_s _ _ zenon_Hd5); [ zenon_intro zenon_Hd7 | zenon_intro zenon_Hd7 ].
% 54.76/54.97 apply (zenon_L548_); trivial.
% 54.76/54.97 apply (zenon_L548_); trivial.
% 54.76/54.97 (* end of lemma zenon_L549_ *)
% 54.76/54.97 assert (zenon_L550_ : (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> ((op1 (e11) (op1 (e11) (e11))) = (e11)) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e12))\/((op1 (e11) (e10)) = (e13))))) -> (~((op1 (e11) (e11)) = (e11))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> ((e12) = (op1 (op1 (op1 (e11) (e11)) (op1 (e11) (e11))) (op1 (e11) (e11)))) -> ((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) -> ((e10) = (op1 (e11) (e11))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> ((e22) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> ((h2 (e10)) = (op2 (e21) (e21))) -> ((e20) = (op2 (e21) (e21))) -> ((h2 (e13)) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((e23) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((h2 (e12)) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> (~((h2 (op1 (e10) (e13))) = (op2 (h2 (e10)) (h2 (e13))))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e11)) = (e12))\/((op1 (e10) (e11)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> ((op1 (e11) (op1 (e11) (e13))) = (e13)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((e12) = (e13))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> ((op1 (e11) (op1 (e11) (e12))) = (e12)) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> ((op1 (e11) (op1 (e11) (e10))) = (e10)) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> ((op2 (e20) (e21)) = (e21)) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e23)) = (e20))) -> (((op1 (e10) (e12)) = (e10))/\(((op1 (e12) (e10)) = (e10))/\(((~((op1 (e12) (e10)) = (e12)))\/(~((op1 (e12) (e12)) = (e10))))/\(((~((op1 (e12) (e11)) = (e12)))\/(~((op1 (e12) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13))))))))) -> ((op1 (e12) (e11)) = (e12)) -> False).
% 54.76/54.97 do 0 intro. intros zenon_H489 zenon_H9f zenon_H474 zenon_H313 zenon_H1b1 zenon_H2b1 zenon_H2a6 zenon_H2a5 zenon_H2a3 zenon_H1d8 zenon_H1be zenon_H209 zenon_H14b zenon_H1a9 zenon_H15f zenon_H473 zenon_H154 zenon_H155 zenon_H15 zenon_H13 zenon_H2c2 zenon_H32e zenon_H3f zenon_H26c zenon_H33 zenon_H461 zenon_H3b zenon_H44f zenon_H463 zenon_H2c0 zenon_H358 zenon_H21a zenon_H2e7 zenon_H25 zenon_H30e zenon_H2b9 zenon_H206 zenon_H17 zenon_H186 zenon_H180 zenon_H179 zenon_H204 zenon_H23b zenon_H301 zenon_H2f8 zenon_H29e zenon_H172 zenon_H1fd zenon_H18a zenon_H1cc zenon_H360 zenon_H316 zenon_H19d zenon_H32b zenon_H236 zenon_H2ad zenon_H15a zenon_H1ed zenon_H375 zenon_H1da zenon_H292 zenon_H1de zenon_H1fa zenon_H1e zenon_H1a0 zenon_Hb9 zenon_H3c2 zenon_Had zenon_H197 zenon_H202.
% 54.76/54.97 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_H18f. zenon_intro zenon_H198.
% 54.76/54.97 apply (zenon_and_s _ _ zenon_H198). zenon_intro zenon_H293. zenon_intro zenon_H227.
% 54.76/54.97 apply (zenon_and_s _ _ zenon_H227). zenon_intro zenon_H229. zenon_intro zenon_H228.
% 54.76/54.97 apply (zenon_and_s _ _ zenon_H228). zenon_intro zenon_H22b. zenon_intro zenon_H22a.
% 54.76/54.97 apply (zenon_or_s _ _ zenon_H22b); [ zenon_intro zenon_H23c | zenon_intro zenon_H23f ].
% 54.76/54.97 exact (zenon_H23c zenon_H202).
% 54.76/54.97 apply (zenon_L537_); trivial.
% 54.76/54.97 (* end of lemma zenon_L550_ *)
% 54.76/54.97 assert (zenon_L551_ : (((op2 (e21) (e20)) = (e21))/\(((op2 (e20) (e21)) = (e21))/\(((~((op2 (e20) (e20)) = (e20)))\/(~((op2 (e20) (e20)) = (e20))))/\(((~((op2 (e20) (e21)) = (e20)))\/(~((op2 (e20) (e20)) = (e21))))/\(((~((op2 (e20) (e22)) = (e20)))\/(~((op2 (e20) (e20)) = (e22))))/\((~((op2 (e20) (e23)) = (e20)))\/(~((op2 (e20) (e20)) = (e23))))))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e22)))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e20) (e21)) = (e23))\/(((op2 (e20) (e22)) = (e23))\/((op2 (e20) (e23)) = (e23))))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e12))\/((op1 (e11) (e10)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> ((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) -> ((e12) = (op1 (op1 (op1 (e11) (e11)) (op1 (e11) (e11))) (op1 (e11) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((e10) = (e12))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e11)) = (e12))\/((op1 (e10) (e11)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (((op1 (e13) (e13)) = (e10))\/(((op1 (e13) (e13)) = (e11))\/(((op1 (e13) (e13)) = (e12))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (~((e12) = (e13))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> ((((op1 (e10) (e10)) = (e10))/\(((op1 (e10) (e10)) = (e10))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11))))/\(((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12))))/\((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))))))))\/((((op1 (e10) (e11)) = (e10))/\(((op1 (e11) (e10)) = (e10))/\(((~((op1 (e11) (e10)) = (e11)))\/(~((op1 (e11) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e11) (e12)) = (e11)))\/(~((op1 (e11) (e11)) = (e12))))/\((~((op1 (e11) (e13)) = (e11)))\/(~((op1 (e11) (e11)) = (e13)))))))))\/((((op1 (e10) (e12)) = (e10))/\(((op1 (e12) (e10)) = (e10))/\(((~((op1 (e12) (e10)) = (e12)))\/(~((op1 (e12) (e12)) = (e10))))/\(((~((op1 (e12) (e11)) = (e12)))\/(~((op1 (e12) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13)))))))))\/((((op1 (e10) (e13)) = (e10))/\(((op1 (e13) (e10)) = (e10))/\(((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e13) (e13)) = (e10))))/\(((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11))))/\(((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e13) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13)))))))))\/((((op1 (e11) (e10)) = (e11))/\(((op1 (e10) (e11)) = (e11))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11))))/\(((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12))))/\((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))))))))\/((((op1 (e11) (e11)) = (e11))/\(((op1 (e11) (e11)) = (e11))/\(((~((op1 (e11) (e10)) = (e11)))\/(~((op1 (e11) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e11) (e12)) = (e11)))\/(~((op1 (e11) (e11)) = (e12))))/\((~((op1 (e11) (e13)) = (e11)))\/(~((op1 (e11) (e11)) = (e13)))))))))\/((((op1 (e11) (e12)) = (e11))/\(((op1 (e12) (e11)) = (e11))/\(((~((op1 (e12) (e10)) = (e12)))\/(~((op1 (e12) (e12)) = (e10))))/\(((~((op1 (e12) (e11)) = (e12)))\/(~((op1 (e12) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13)))))))))\/((((op1 (e11) (e13)) = (e11))/\(((op1 (e13) (e11)) = (e11))/\(((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e13) (e13)) = (e10))))/\(((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11))))/\(((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e13) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13)))))))))\/((((op1 (e12) (e10)) = (e12))/\(((op1 (e10) (e12)) = (e12))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11))))/\(((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12))))/\((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))))))))\/((((op1 (e12) (e11)) = (e12))/\(((op1 (e11) (e12)) = (e12))/\(((~((op1 (e11) (e10)) = (e11)))\/(~((op1 (e11) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e11) (e12)) = (e11)))\/(~((op1 (e11) (e11)) = (e12))))/\((~((op1 (e11) (e13)) = (e11)))\/(~((op1 (e11) (e11)) = (e13)))))))))\/((((op1 (e12) (e12)) = (e12))/\(((op1 (e12) (e12)) = (e12))/\(((~((op1 (e12) (e10)) = (e12)))\/(~((op1 (e12) (e12)) = (e10))))/\(((~((op1 (e12) (e11)) = (e12)))\/(~((op1 (e12) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13)))))))))\/((((op1 (e12) (e13)) = (e12))/\(((op1 (e13) (e12)) = (e12))/\(((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e13) (e13)) = (e10))))/\(((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11))))/\(((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e13) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13)))))))))\/((((op1 (e13) (e10)) = (e13))/\(((op1 (e10) (e13)) = (e13))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11))))/\(((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12))))/\((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))))))))\/((((op1 (e13) (e11)) = (e13))/\(((op1 (e11) (e13)) = (e13))/\(((~((op1 (e11) (e10)) = (e11)))\/(~((op1 (e11) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e11) (e12)) = (e11)))\/(~((op1 (e11) (e11)) = (e12))))/\((~((op1 (e11) (e13)) = (e11)))\/(~((op1 (e11) (e11)) = (e13)))))))))\/((((op1 (e13) (e12)) = (e13))/\(((op1 (e12) (e13)) = (e13))/\(((~((op1 (e12) (e10)) = (e12)))\/(~((op1 (e12) (e12)) = (e10))))/\(((~((op1 (e12) (e11)) = (e12)))\/(~((op1 (e12) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13)))))))))\/(((op1 (e13) (e13)) = (e13))/\(((op1 (e13) (e13)) = (e13))/\(((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e13) (e13)) = (e10))))/\(((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11))))/\(((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e13) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13)))))))))))))))))))))))) -> ((e10) = (op1 (e11) (e11))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> ((e22) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> ((h2 (e10)) = (op2 (e21) (e21))) -> ((e20) = (op2 (e21) (e21))) -> ((h2 (e13)) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((e23) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((h2 (e12)) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> (~((h2 (op1 (e10) (e13))) = (op2 (h2 (e10)) (h2 (e13))))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> (((op1 (e10) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e12) (e11)) = (e13))))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e12) (e13)) = (e10))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> ((((op1 (e10) (op1 (e10) (e10))) = (e10))/\(((op1 (e10) (op1 (e10) (e11))) = (e11))/\(((op1 (e10) (op1 (e10) (e12))) = (e12))/\(((op1 (e10) (op1 (e10) (e13))) = (e13))/\(((~((op1 (e10) (e10)) = (e10)))\/((op1 (e10) (e10)) = (e10)))/\(((~((op1 (e11) (e11)) = (e10)))\/((op1 (e11) (e10)) = (e11)))/\(((~((op1 (e12) (e12)) = (e10)))\/((op1 (e12) (e10)) = (e12)))/\((~((op1 (e13) (e13)) = (e10)))\/((op1 (e13) (e10)) = (e13))))))))))\/((((op1 (e11) (op1 (e11) (e10))) = (e10))/\(((op1 (e11) (op1 (e11) (e11))) = (e11))/\(((op1 (e11) (op1 (e11) (e12))) = (e12))/\(((op1 (e11) (op1 (e11) (e13))) = (e13))/\(((~((op1 (e10) (e10)) = (e11)))\/((op1 (e10) (e11)) = (e10)))/\(((~((op1 (e11) (e11)) = (e11)))\/((op1 (e11) (e11)) = (e11)))/\(((~((op1 (e12) (e12)) = (e11)))\/((op1 (e12) (e11)) = (e12)))/\((~((op1 (e13) (e13)) = (e11)))\/((op1 (e13) (e11)) = (e13))))))))))\/((((op1 (e12) (op1 (e12) (e10))) = (e10))/\(((op1 (e12) (op1 (e12) (e11))) = (e11))/\(((op1 (e12) (op1 (e12) (e12))) = (e12))/\(((op1 (e12) (op1 (e12) (e13))) = (e13))/\(((~((op1 (e10) (e10)) = (e12)))\/((op1 (e10) (e12)) = (e10)))/\(((~((op1 (e11) (e11)) = (e12)))\/((op1 (e11) (e12)) = (e11)))/\(((~((op1 (e12) (e12)) = (e12)))\/((op1 (e12) (e12)) = (e12)))/\((~((op1 (e13) (e13)) = (e12)))\/((op1 (e13) (e12)) = (e13))))))))))\/(((op1 (e13) (op1 (e13) (e10))) = (e10))/\(((op1 (e13) (op1 (e13) (e11))) = (e11))/\(((op1 (e13) (op1 (e13) (e12))) = (e12))/\(((op1 (e13) (op1 (e13) (e13))) = (e13))/\(((~((op1 (e10) (e10)) = (e13)))\/((op1 (e10) (e13)) = (e10)))/\(((~((op1 (e11) (e11)) = (e13)))\/((op1 (e11) (e13)) = (e11)))/\(((~((op1 (e12) (e12)) = (e13)))\/((op1 (e12) (e13)) = (e12)))/\((~((op1 (e13) (e13)) = (e13)))\/((op1 (e13) (e13)) = (e13))))))))))))) -> False).
% 54.76/54.97 do 0 intro. intros zenon_Hb6 zenon_H93 zenon_H98 zenon_Ha5 zenon_H15f zenon_H15a zenon_H15 zenon_H155 zenon_H154 zenon_H14b zenon_H186 zenon_H180 zenon_H179 zenon_H172 zenon_H16c zenon_H18a zenon_H18e zenon_H192 zenon_H246 zenon_H19d zenon_H1a0 zenon_H25 zenon_H1e zenon_H17 zenon_H1a9 zenon_H209 zenon_H206 zenon_H204 zenon_H1fd zenon_H1fa zenon_H1f7 zenon_H1f4 zenon_H1ed zenon_H1e8 zenon_H1da zenon_H1d8 zenon_H1cc zenon_H1de zenon_H1b1 zenon_H1be zenon_H20c zenon_H21a zenon_H236 zenon_H23b zenon_H245 zenon_H13 zenon_H328 zenon_H485 zenon_H489 zenon_H9f zenon_H474 zenon_H313 zenon_H2b1 zenon_H2a5 zenon_H2a3 zenon_H2c2 zenon_H32e zenon_H3f zenon_H26c zenon_H33 zenon_H461 zenon_H3b zenon_H44f zenon_H463 zenon_H2c0 zenon_H358 zenon_H2e7 zenon_H30e zenon_H2b9 zenon_H301 zenon_H2f8 zenon_H360 zenon_H316 zenon_H32b zenon_H2ad zenon_H3c2 zenon_H2fd zenon_H2fb zenon_H2f6 zenon_H325 zenon_H322 zenon_H321 zenon_H30b zenon_H2ea zenon_H2e2 zenon_H2e6 zenon_H2d9 zenon_H2c9 zenon_H2d1 zenon_H35d zenon_H345 zenon_H355 zenon_H36e.
% 54.76/54.97 apply (zenon_and_s _ _ zenon_Hb6). zenon_intro zenon_H4e. zenon_intro zenon_Hb8.
% 54.76/54.97 apply (zenon_and_s _ _ zenon_Hb8). zenon_intro zenon_Hb9. zenon_intro zenon_H2e.
% 54.76/54.97 apply (zenon_and_s _ _ zenon_H2e). zenon_intro zenon_H30. zenon_intro zenon_H2f.
% 54.76/54.97 apply (zenon_and_s _ _ zenon_H2f). zenon_intro zenon_Hbb. zenon_intro zenon_Hba.
% 54.76/54.97 apply (zenon_and_s _ _ zenon_Hba). zenon_intro zenon_Hbc. zenon_intro zenon_Haa.
% 54.76/54.97 apply (zenon_or_s _ _ zenon_Haa); [ zenon_intro zenon_Had | zenon_intro zenon_Ha6 ].
% 54.76/54.97 apply (zenon_or_s _ _ zenon_H36e); [ zenon_intro zenon_H244 | zenon_intro zenon_H36f ].
% 54.76/54.97 apply (zenon_L126_); trivial.
% 54.76/54.97 apply (zenon_or_s _ _ zenon_H36f); [ zenon_intro zenon_H371 | zenon_intro zenon_H370 ].
% 54.76/54.97 apply (zenon_and_s _ _ zenon_H371). zenon_intro zenon_H292. zenon_intro zenon_H372.
% 54.76/54.97 apply (zenon_and_s _ _ zenon_H372). zenon_intro zenon_H2a6. zenon_intro zenon_H373.
% 54.76/54.97 apply (zenon_and_s _ _ zenon_H373). zenon_intro zenon_H375. zenon_intro zenon_H374.
% 54.76/54.97 apply (zenon_and_s _ _ zenon_H374). zenon_intro zenon_H29e. zenon_intro zenon_H376.
% 54.76/54.97 apply (zenon_and_s _ _ zenon_H376). zenon_intro zenon_H378. zenon_intro zenon_H377.
% 54.76/54.97 apply (zenon_and_s _ _ zenon_H377). zenon_intro zenon_H37a. zenon_intro zenon_H379.
% 54.76/54.97 apply (zenon_and_s _ _ zenon_H379). zenon_intro zenon_H37c. zenon_intro zenon_H37b.
% 54.76/54.97 apply (zenon_or_s _ _ zenon_H37a); [ zenon_intro zenon_H473 | zenon_intro zenon_H1a7 ].
% 54.76/54.97 apply (zenon_or_s _ _ zenon_H37c); [ zenon_intro zenon_H23f | zenon_intro zenon_H202 ].
% 54.76/54.97 apply (zenon_L539_); trivial.
% 54.76/54.97 apply (zenon_or_s _ _ zenon_H245); [ zenon_intro zenon_H147 | zenon_intro zenon_H254 ].
% 54.76/54.97 apply (zenon_L60_); trivial.
% 54.76/54.97 apply (zenon_or_s _ _ zenon_H254); [ zenon_intro zenon_H164 | zenon_intro zenon_H255 ].
% 54.76/54.97 apply (zenon_L66_); trivial.
% 54.76/54.97 apply (zenon_or_s _ _ zenon_H255); [ zenon_intro zenon_H197 | zenon_intro zenon_H256 ].
% 54.76/54.97 apply (zenon_L550_); trivial.
% 54.76/54.97 apply (zenon_or_s _ _ zenon_H256); [ zenon_intro zenon_H199 | zenon_intro zenon_H257 ].
% 54.76/54.97 apply (zenon_L77_); trivial.
% 54.76/54.97 apply (zenon_or_s _ _ zenon_H257); [ zenon_intro zenon_H259 | zenon_intro zenon_H258 ].
% 54.76/54.97 apply (zenon_L538_); trivial.
% 54.76/54.97 apply (zenon_or_s _ _ zenon_H258); [ zenon_intro zenon_H1a5 | zenon_intro zenon_H262 ].
% 54.76/54.97 apply (zenon_L80_); trivial.
% 54.76/54.97 apply (zenon_or_s _ _ zenon_H262); [ zenon_intro zenon_H1ae | zenon_intro zenon_H263 ].
% 54.76/54.97 apply (zenon_L83_); trivial.
% 54.76/54.97 apply (zenon_or_s _ _ zenon_H263); [ zenon_intro zenon_H212 | zenon_intro zenon_H264 ].
% 54.76/54.97 apply (zenon_L169_); trivial.
% 54.76/54.97 apply (zenon_or_s _ _ zenon_H264); [ zenon_intro zenon_H220 | zenon_intro zenon_H265 ].
% 54.76/54.97 apply (zenon_L110_); trivial.
% 54.76/54.97 apply (zenon_or_s _ _ zenon_H265); [ zenon_intro zenon_H222 | zenon_intro zenon_H266 ].
% 54.76/54.97 apply (zenon_L111_); trivial.
% 54.76/54.97 apply (zenon_or_s _ _ zenon_H266); [ zenon_intro zenon_H225 | zenon_intro zenon_H267 ].
% 54.76/54.97 apply (zenon_L113_); trivial.
% 54.76/54.97 apply (zenon_or_s _ _ zenon_H267); [ zenon_intro zenon_H22d | zenon_intro zenon_H268 ].
% 54.76/54.97 apply (zenon_L114_); trivial.
% 54.76/54.97 apply (zenon_or_s _ _ zenon_H268); [ zenon_intro zenon_H230 | zenon_intro zenon_H269 ].
% 54.76/54.97 apply (zenon_L115_); trivial.
% 54.76/54.97 apply (zenon_or_s _ _ zenon_H269); [ zenon_intro zenon_H232 | zenon_intro zenon_H26a ].
% 54.76/54.97 apply (zenon_L116_); trivial.
% 54.76/54.97 apply (zenon_or_s _ _ zenon_H26a); [ zenon_intro zenon_H240 | zenon_intro zenon_H242 ].
% 54.76/54.97 apply (zenon_L166_); trivial.
% 54.76/54.97 apply (zenon_L125_); trivial.
% 54.76/54.97 apply (zenon_L532_); trivial.
% 54.76/54.97 apply (zenon_or_s _ _ zenon_H370); [ zenon_intro zenon_H335 | zenon_intro zenon_H363 ].
% 54.76/54.97 apply (zenon_L260_); trivial.
% 54.76/54.97 apply (zenon_L307_); trivial.
% 54.76/54.97 apply (zenon_L28_); trivial.
% 54.76/54.97 (* end of lemma zenon_L551_ *)
% 54.76/54.97 assert (zenon_L552_ : (~((h2 (op1 (e11) (e10))) = (op2 (h2 (e11)) (h2 (e10))))) -> ((op1 (e11) (e10)) = (e11)) -> ((op2 (e21) (e20)) = (e21)) -> ((h2 (e11)) = (e21)) -> ((h2 (e10)) = (op2 (e21) (e21))) -> ((e20) = (op2 (e21) (e21))) -> False).
% 54.76/54.97 do 0 intro. intros zenon_H48c zenon_H163 zenon_H4e zenon_H270 zenon_H26c zenon_H33.
% 54.76/54.97 cut (((h2 (e11)) = (e21)) = ((h2 (op1 (e11) (e10))) = (op2 (h2 (e11)) (h2 (e10))))).
% 54.76/54.97 intro zenon_D_pnotp.
% 54.76/54.97 apply zenon_H48c.
% 54.76/54.97 rewrite <- zenon_D_pnotp.
% 54.76/54.97 exact zenon_H270.
% 54.76/54.97 cut (((e21) = (op2 (h2 (e11)) (h2 (e10))))); [idtac | apply NNPP; zenon_intro zenon_H48d].
% 54.76/54.97 cut (((h2 (e11)) = (h2 (op1 (e11) (e10))))); [idtac | apply NNPP; zenon_intro zenon_H48e].
% 54.76/54.97 congruence.
% 54.76/54.97 elim (classic ((h2 (op1 (e11) (e10))) = (h2 (op1 (e11) (e10))))); [ zenon_intro zenon_H48f | zenon_intro zenon_H490 ].
% 54.76/54.97 cut (((h2 (op1 (e11) (e10))) = (h2 (op1 (e11) (e10)))) = ((h2 (e11)) = (h2 (op1 (e11) (e10))))).
% 54.76/54.97 intro zenon_D_pnotp.
% 54.76/54.97 apply zenon_H48e.
% 54.76/54.97 rewrite <- zenon_D_pnotp.
% 54.76/54.97 exact zenon_H48f.
% 54.76/54.97 cut (((h2 (op1 (e11) (e10))) = (h2 (op1 (e11) (e10))))); [idtac | apply NNPP; zenon_intro zenon_H490].
% 54.76/54.97 cut (((h2 (op1 (e11) (e10))) = (h2 (e11)))); [idtac | apply NNPP; zenon_intro zenon_H491].
% 54.76/54.97 congruence.
% 54.76/54.97 cut (((op1 (e11) (e10)) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H160].
% 54.76/54.97 congruence.
% 54.76/54.97 exact (zenon_H160 zenon_H163).
% 54.76/54.97 apply zenon_H490. apply refl_equal.
% 54.76/54.97 apply zenon_H490. apply refl_equal.
% 54.76/54.97 elim (classic ((op2 (h2 (e11)) (h2 (e10))) = (op2 (h2 (e11)) (h2 (e10))))); [ zenon_intro zenon_H492 | zenon_intro zenon_H493 ].
% 54.76/54.97 cut (((op2 (h2 (e11)) (h2 (e10))) = (op2 (h2 (e11)) (h2 (e10)))) = ((e21) = (op2 (h2 (e11)) (h2 (e10))))).
% 54.76/54.97 intro zenon_D_pnotp.
% 54.76/54.97 apply zenon_H48d.
% 54.76/54.97 rewrite <- zenon_D_pnotp.
% 54.76/54.97 exact zenon_H492.
% 54.76/54.97 cut (((op2 (h2 (e11)) (h2 (e10))) = (op2 (h2 (e11)) (h2 (e10))))); [idtac | apply NNPP; zenon_intro zenon_H493].
% 54.76/54.97 cut (((op2 (h2 (e11)) (h2 (e10))) = (e21))); [idtac | apply NNPP; zenon_intro zenon_H494].
% 54.76/54.97 congruence.
% 54.76/54.97 cut (((op2 (e21) (e20)) = (e21)) = ((op2 (h2 (e11)) (h2 (e10))) = (e21))).
% 54.76/54.97 intro zenon_D_pnotp.
% 54.76/54.97 apply zenon_H494.
% 54.76/54.97 rewrite <- zenon_D_pnotp.
% 54.76/54.97 exact zenon_H4e.
% 54.76/54.97 cut (((e21) = (e21))); [idtac | apply NNPP; zenon_intro zenon_H26e].
% 54.76/54.97 cut (((op2 (e21) (e20)) = (op2 (h2 (e11)) (h2 (e10))))); [idtac | apply NNPP; zenon_intro zenon_H495].
% 54.76/54.97 congruence.
% 54.76/54.97 elim (classic ((op2 (h2 (e11)) (h2 (e10))) = (op2 (h2 (e11)) (h2 (e10))))); [ zenon_intro zenon_H492 | zenon_intro zenon_H493 ].
% 54.76/54.97 cut (((op2 (h2 (e11)) (h2 (e10))) = (op2 (h2 (e11)) (h2 (e10)))) = ((op2 (e21) (e20)) = (op2 (h2 (e11)) (h2 (e10))))).
% 54.76/54.97 intro zenon_D_pnotp.
% 54.76/54.97 apply zenon_H495.
% 54.76/54.97 rewrite <- zenon_D_pnotp.
% 54.76/54.97 exact zenon_H492.
% 54.76/54.97 cut (((op2 (h2 (e11)) (h2 (e10))) = (op2 (h2 (e11)) (h2 (e10))))); [idtac | apply NNPP; zenon_intro zenon_H493].
% 54.76/54.97 cut (((op2 (h2 (e11)) (h2 (e10))) = (op2 (e21) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H496].
% 54.76/54.97 congruence.
% 54.76/54.97 cut (((h2 (e10)) = (e20))); [idtac | apply NNPP; zenon_intro zenon_H26b].
% 54.76/54.97 cut (((h2 (e11)) = (e21))); [idtac | apply NNPP; zenon_intro zenon_H27c].
% 54.76/54.97 congruence.
% 54.76/54.97 exact (zenon_H27c zenon_H270).
% 54.76/54.97 apply (zenon_L127_); trivial.
% 54.76/54.97 apply zenon_H493. apply refl_equal.
% 54.76/54.97 apply zenon_H493. apply refl_equal.
% 54.76/54.97 apply zenon_H26e. apply refl_equal.
% 54.76/54.97 apply zenon_H493. apply refl_equal.
% 54.76/54.97 apply zenon_H493. apply refl_equal.
% 54.76/54.97 (* end of lemma zenon_L552_ *)
% 54.76/54.97 assert (zenon_L553_ : (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> ((e12) = (op1 (op1 (op1 (e11) (e11)) (op1 (e11) (e11))) (op1 (e11) (e11)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((e12) = (e13))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> ((op1 (e11) (op1 (e11) (e13))) = (e13)) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e11)) = (e12))\/((op1 (e10) (e11)) = (e13))))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e12) (e13)) = (e12))) -> (~((op1 (e12) (e12)) = (e12))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e12)) = (e11))) -> ((op1 (e11) (op1 (e11) (e10))) = (e10)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> ((op1 (e11) (op1 (e11) (e11))) = (e11)) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e12))\/((op1 (e11) (e10)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> ((op1 (e11) (op1 (e11) (e12))) = (e12)) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e11)) = (e11))) -> (~((h2 (op1 (e11) (e10))) = (op2 (h2 (e11)) (h2 (e10))))) -> ((op2 (e21) (e20)) = (e21)) -> ((h2 (e11)) = (e21)) -> ((h2 (e10)) = (op2 (e21) (e21))) -> ((e20) = (op2 (e21) (e21))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> ((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) -> ((e10) = (op1 (e11) (e11))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> False).
% 54.76/54.97 do 0 intro. intros zenon_H1a0 zenon_H172 zenon_H155 zenon_H313 zenon_H2b9 zenon_H1cc zenon_H2ad zenon_H2e7 zenon_H236 zenon_H18a zenon_H29e zenon_H2c2 zenon_H15a zenon_H180 zenon_H179 zenon_H204 zenon_H186 zenon_H316 zenon_H301 zenon_H1fd zenon_H2f8 zenon_H360 zenon_H19d zenon_H206 zenon_H32b zenon_H358 zenon_H30e zenon_H27d zenon_H1d1 zenon_H21a zenon_H23b zenon_H209 zenon_H154 zenon_H2b1 zenon_H1d8 zenon_H23f zenon_H292 zenon_H2a3 zenon_H1da zenon_H2a6 zenon_H2a5 zenon_H14b zenon_H15f zenon_H1b1 zenon_H1be zenon_H32e zenon_H375 zenon_H1ed zenon_H1fa zenon_H1a9 zenon_H473 zenon_H48c zenon_H4e zenon_H270 zenon_H26c zenon_H33 zenon_H474 zenon_H17 zenon_H1e zenon_H15 zenon_H13 zenon_H25.
% 54.76/54.97 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_H1a3 | zenon_intro zenon_H1a2 ].
% 54.76/54.97 apply (zenon_or_s _ _ zenon_H474); [ zenon_intro zenon_H163 | zenon_intro zenon_H475 ].
% 54.76/54.97 apply (zenon_L552_); trivial.
% 54.76/54.97 apply (zenon_or_s _ _ zenon_H475); [ zenon_intro zenon_H1a7 | zenon_intro zenon_H476 ].
% 54.76/54.97 exact (zenon_H473 zenon_H1a7).
% 54.76/54.97 apply (zenon_or_s _ _ zenon_H476); [ zenon_intro zenon_H1a8 | zenon_intro zenon_H214 ].
% 54.76/54.97 apply (zenon_L82_); trivial.
% 54.76/54.97 apply (zenon_L509_); trivial.
% 54.76/54.97 apply (zenon_or_s _ _ zenon_H1a2); [ zenon_intro zenon_H16 | zenon_intro zenon_H1a4 ].
% 54.76/54.97 apply (zenon_L2_); trivial.
% 54.76/54.97 apply (zenon_or_s _ _ zenon_H1a4); [ zenon_intro zenon_H1d | zenon_intro zenon_H24 ].
% 54.76/54.97 apply (zenon_L3_); trivial.
% 54.76/54.97 apply (zenon_L4_); trivial.
% 54.76/54.97 (* end of lemma zenon_L553_ *)
% 54.76/54.97 assert (zenon_L554_ : (~((op2 (e21) (e20)) = (op2 (e21) (op2 (e21) (e21))))) -> ((e20) = (op2 (e21) (e21))) -> False).
% 54.76/54.97 do 0 intro. intros zenon_H497 zenon_H33.
% 54.76/54.97 cut (((e20) = (op2 (e21) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H45c].
% 54.76/54.97 cut (((e21) = (e21))); [idtac | apply NNPP; zenon_intro zenon_H26e].
% 54.76/54.97 congruence.
% 54.76/54.97 apply zenon_H26e. apply refl_equal.
% 54.76/54.97 exact (zenon_H45c zenon_H33).
% 54.76/54.97 (* end of lemma zenon_L554_ *)
% 54.76/54.97 assert (zenon_L555_ : (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> ((op2 (e21) (op2 (e21) (e21))) = (e21)) -> ((e20) = (op2 (e21) (e21))) -> ((op2 (e22) (e20)) = (e21)) -> False).
% 54.76/54.97 do 0 intro. intros zenon_H498 zenon_H499 zenon_H33 zenon_H49a.
% 54.76/54.97 cut (((op2 (e21) (op2 (e21) (e21))) = (e21)) = ((op2 (e21) (e20)) = (op2 (e22) (e20)))).
% 54.76/54.97 intro zenon_D_pnotp.
% 54.76/54.97 apply zenon_H498.
% 54.76/54.97 rewrite <- zenon_D_pnotp.
% 54.76/54.97 exact zenon_H499.
% 54.76/54.97 cut (((e21) = (op2 (e22) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H49b].
% 54.76/54.97 cut (((op2 (e21) (op2 (e21) (e21))) = (op2 (e21) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H49c].
% 54.76/54.97 congruence.
% 54.76/54.97 elim (classic ((op2 (e21) (e20)) = (op2 (e21) (e20)))); [ zenon_intro zenon_H37 | zenon_intro zenon_H38 ].
% 54.76/54.97 cut (((op2 (e21) (e20)) = (op2 (e21) (e20))) = ((op2 (e21) (op2 (e21) (e21))) = (op2 (e21) (e20)))).
% 54.76/54.97 intro zenon_D_pnotp.
% 54.76/54.97 apply zenon_H49c.
% 54.76/54.97 rewrite <- zenon_D_pnotp.
% 54.76/54.97 exact zenon_H37.
% 54.76/54.97 cut (((op2 (e21) (e20)) = (op2 (e21) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H38].
% 54.76/54.97 cut (((op2 (e21) (e20)) = (op2 (e21) (op2 (e21) (e21))))); [idtac | apply NNPP; zenon_intro zenon_H497].
% 54.76/54.97 congruence.
% 54.76/54.97 apply (zenon_L554_); trivial.
% 54.76/54.97 apply zenon_H38. apply refl_equal.
% 54.76/54.97 apply zenon_H38. apply refl_equal.
% 54.76/54.97 apply zenon_H49b. apply sym_equal. exact zenon_H49a.
% 54.76/54.97 (* end of lemma zenon_L555_ *)
% 54.76/54.97 assert (zenon_L556_ : (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> ((op2 (e21) (op2 (e21) (e21))) = (e21)) -> ((e20) = (op2 (e21) (e21))) -> ((op2 (e23) (e20)) = (e21)) -> False).
% 54.76/54.97 do 0 intro. intros zenon_H3e zenon_H499 zenon_H33 zenon_H42a.
% 54.76/54.97 cut (((op2 (e21) (op2 (e21) (e21))) = (e21)) = ((op2 (e21) (e20)) = (op2 (e23) (e20)))).
% 54.76/54.97 intro zenon_D_pnotp.
% 54.76/54.97 apply zenon_H3e.
% 54.76/54.97 rewrite <- zenon_D_pnotp.
% 54.76/54.97 exact zenon_H499.
% 54.76/54.97 cut (((e21) = (op2 (e23) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H42b].
% 54.76/54.97 cut (((op2 (e21) (op2 (e21) (e21))) = (op2 (e21) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H49c].
% 54.76/54.97 congruence.
% 54.76/54.97 elim (classic ((op2 (e21) (e20)) = (op2 (e21) (e20)))); [ zenon_intro zenon_H37 | zenon_intro zenon_H38 ].
% 54.76/54.97 cut (((op2 (e21) (e20)) = (op2 (e21) (e20))) = ((op2 (e21) (op2 (e21) (e21))) = (op2 (e21) (e20)))).
% 54.76/54.97 intro zenon_D_pnotp.
% 54.76/54.97 apply zenon_H49c.
% 54.76/54.97 rewrite <- zenon_D_pnotp.
% 54.76/54.97 exact zenon_H37.
% 54.76/54.97 cut (((op2 (e21) (e20)) = (op2 (e21) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H38].
% 54.76/54.97 cut (((op2 (e21) (e20)) = (op2 (e21) (op2 (e21) (e21))))); [idtac | apply NNPP; zenon_intro zenon_H497].
% 54.76/54.97 congruence.
% 54.76/54.97 apply (zenon_L554_); trivial.
% 54.76/54.97 apply zenon_H38. apply refl_equal.
% 54.76/54.97 apply zenon_H38. apply refl_equal.
% 54.76/54.97 apply zenon_H42b. apply sym_equal. exact zenon_H42a.
% 54.76/54.97 (* end of lemma zenon_L556_ *)
% 54.76/54.97 assert (zenon_L557_ : ((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13)))) -> ((op1 (e10) (e12)) = (e10)) -> ((op1 (e12) (e10)) = (e10)) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((op2 (e20) (e20)) = (e21))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (~((h2 (op1 (e11) (e10))) = (op2 (h2 (e11)) (h2 (e10))))) -> ((e20) = (op2 (e21) (e21))) -> ((h2 (e10)) = (op2 (e21) (e21))) -> ((h2 (e11)) = (e21)) -> (~((op1 (e11) (e11)) = (e11))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e12))\/((op1 (e11) (e10)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> ((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) -> ((e12) = (op1 (op1 (op1 (e11) (e11)) (op1 (e11) (e11))) (op1 (e11) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> ((e10) = (op1 (e11) (e11))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e12)) = (e11))) -> ((op1 (e11) (op1 (e11) (e10))) = (e10)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> ((op1 (e11) (op1 (e11) (e11))) = (e11)) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> ((op1 (e11) (op1 (e11) (e12))) = (e12)) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((e12) = (e13))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> ((op1 (e11) (op1 (e11) (e13))) = (e13)) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e12) (e12)) = (e12))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e11)) = (e12))\/((op1 (e10) (e11)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> ((op2 (e21) (op2 (e21) (e21))) = (e21)) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> (((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e21))\/((op2 (e23) (e20)) = (e21))))) -> False).
% 54.76/54.97 do 0 intro. intros zenon_H22c zenon_H18f zenon_H293 zenon_H1de zenon_H49d zenon_H1a0 zenon_H1e zenon_H48c zenon_H33 zenon_H26c zenon_H270 zenon_H473 zenon_H15f zenon_H15a zenon_H15 zenon_H155 zenon_H154 zenon_H1a9 zenon_H13 zenon_H14b zenon_H1fa zenon_H209 zenon_H1be zenon_H1da zenon_H1d8 zenon_H23f zenon_H292 zenon_H2a3 zenon_H2a5 zenon_H2a6 zenon_H2b1 zenon_H1b1 zenon_H375 zenon_H1ed zenon_H32e zenon_H2ad zenon_H236 zenon_H32b zenon_H19d zenon_H316 zenon_H360 zenon_H1cc zenon_H18a zenon_H1fd zenon_H172 zenon_H29e zenon_H2f8 zenon_H301 zenon_H23b zenon_H1d1 zenon_H204 zenon_H179 zenon_H180 zenon_H186 zenon_H17 zenon_H206 zenon_H2b9 zenon_H30e zenon_H25 zenon_H2e7 zenon_H21a zenon_H358 zenon_H313 zenon_H2c2 zenon_H474 zenon_H498 zenon_H499 zenon_H3e zenon_H49e.
% 54.76/54.97 apply (zenon_or_s _ _ zenon_H22c); [ zenon_intro zenon_H27d | zenon_intro zenon_H29d ].
% 54.76/54.97 apply (zenon_or_s _ _ zenon_H49e); [ zenon_intro zenon_H4a0 | zenon_intro zenon_H49f ].
% 54.76/54.97 exact (zenon_H49d zenon_H4a0).
% 54.76/54.97 apply (zenon_or_s _ _ zenon_H49f); [ zenon_intro zenon_H4e | zenon_intro zenon_H4a1 ].
% 54.76/54.97 apply (zenon_L553_); trivial.
% 54.76/54.97 apply (zenon_or_s _ _ zenon_H4a1); [ zenon_intro zenon_H49a | zenon_intro zenon_H42a ].
% 54.76/54.97 apply (zenon_L555_); trivial.
% 54.76/54.97 apply (zenon_L556_); trivial.
% 54.76/54.97 apply (zenon_L144_); trivial.
% 54.76/54.97 (* end of lemma zenon_L557_ *)
% 54.76/54.97 assert (zenon_L558_ : (((op1 (e10) (e12)) = (e10))/\(((op1 (e12) (e10)) = (e10))/\(((~((op1 (e12) (e10)) = (e12)))\/(~((op1 (e12) (e12)) = (e10))))/\(((~((op1 (e12) (e11)) = (e12)))\/(~((op1 (e12) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13))))))))) -> (((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e21))\/((op2 (e23) (e20)) = (e21))))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> ((op2 (e21) (op2 (e21) (e21))) = (e21)) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e11)) = (e12))\/((op1 (e10) (e11)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> ((op1 (e11) (op1 (e11) (e13))) = (e13)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((e12) = (e13))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> ((op1 (e11) (op1 (e11) (e12))) = (e12)) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> ((op1 (e11) (op1 (e11) (e11))) = (e11)) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> ((op1 (e11) (op1 (e11) (e10))) = (e10)) -> (~((op1 (e12) (e12)) = (e11))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> ((e10) = (op1 (e11) (e11))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> ((e12) = (op1 (op1 (op1 (e11) (e11)) (op1 (e11) (e11))) (op1 (e11) (e11)))) -> ((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e12))\/((op1 (e11) (e10)) = (e13))))) -> (~((op1 (e11) (e11)) = (e11))) -> ((h2 (e11)) = (e21)) -> ((h2 (e10)) = (op2 (e21) (e21))) -> ((e20) = (op2 (e21) (e21))) -> (~((h2 (op1 (e11) (e10))) = (op2 (h2 (e11)) (h2 (e10))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op2 (e20) (e20)) = (e21))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> False).
% 54.76/54.97 do 0 intro. intros zenon_H197 zenon_H49e zenon_H3e zenon_H499 zenon_H498 zenon_H474 zenon_H2c2 zenon_H313 zenon_H358 zenon_H21a zenon_H2e7 zenon_H25 zenon_H30e zenon_H2b9 zenon_H206 zenon_H17 zenon_H186 zenon_H180 zenon_H179 zenon_H204 zenon_H23b zenon_H301 zenon_H2f8 zenon_H29e zenon_H172 zenon_H1fd zenon_H18a zenon_H1cc zenon_H360 zenon_H316 zenon_H19d zenon_H32b zenon_H236 zenon_H2ad zenon_H32e zenon_H1ed zenon_H375 zenon_H1b1 zenon_H2b1 zenon_H2a6 zenon_H2a5 zenon_H2a3 zenon_H292 zenon_H23f zenon_H1d8 zenon_H1da zenon_H1be zenon_H209 zenon_H1fa zenon_H14b zenon_H13 zenon_H1a9 zenon_H154 zenon_H155 zenon_H15 zenon_H15a zenon_H15f zenon_H473 zenon_H270 zenon_H26c zenon_H33 zenon_H48c zenon_H1e zenon_H1a0 zenon_H49d zenon_H1de.
% 54.76/54.97 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_H18f. zenon_intro zenon_H198.
% 54.76/54.97 apply (zenon_and_s _ _ zenon_H198). zenon_intro zenon_H293. zenon_intro zenon_H227.
% 54.76/54.97 apply (zenon_and_s _ _ zenon_H227). zenon_intro zenon_H229. zenon_intro zenon_H228.
% 54.76/54.97 apply (zenon_and_s _ _ zenon_H228). zenon_intro zenon_H22b. zenon_intro zenon_H22a.
% 54.76/54.97 apply (zenon_and_s _ _ zenon_H22a). zenon_intro zenon_H224. zenon_intro zenon_H22c.
% 54.76/54.97 apply (zenon_or_s _ _ zenon_H224); [ zenon_intro zenon_H1d1 | zenon_intro zenon_H1d1 ].
% 54.76/54.97 apply (zenon_L557_); trivial.
% 54.76/54.97 apply (zenon_L557_); trivial.
% 54.76/54.97 (* end of lemma zenon_L558_ *)
% 54.76/54.97 assert (zenon_L559_ : (((op1 (e11) (e10)) = (e11))/\(((op1 (e10) (e11)) = (e11))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11))))/\(((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12))))/\((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13))))))))) -> (~((h2 (op1 (e11) (e10))) = (op2 (h2 (e11)) (h2 (e10))))) -> ((op2 (e21) (e20)) = (e21)) -> ((h2 (e11)) = (e21)) -> ((h2 (e10)) = (op2 (e21) (e21))) -> ((e20) = (op2 (e21) (e21))) -> False).
% 54.76/54.97 do 0 intro. intros zenon_H259 zenon_H48c zenon_H4e zenon_H270 zenon_H26c zenon_H33.
% 54.76/54.97 apply (zenon_and_s _ _ zenon_H259). zenon_intro zenon_H163. zenon_intro zenon_H25a.
% 54.76/54.97 apply (zenon_L552_); trivial.
% 54.76/54.97 (* end of lemma zenon_L559_ *)
% 54.76/54.97 assert (zenon_L560_ : (((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e21))\/((op2 (e23) (e20)) = (e21))))) -> (~((op2 (e20) (e20)) = (e21))) -> ((h2 (e10)) = (op2 (e21) (e21))) -> ((h2 (e11)) = (e21)) -> (~((h2 (op1 (e11) (e10))) = (op2 (h2 (e11)) (h2 (e10))))) -> (((op1 (e11) (e10)) = (e11))/\(((op1 (e10) (e11)) = (e11))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11))))/\(((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12))))/\((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13))))))))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> ((op2 (e21) (op2 (e21) (e21))) = (e21)) -> ((e20) = (op2 (e21) (e21))) -> False).
% 54.76/54.97 do 0 intro. intros zenon_H49e zenon_H49d zenon_H26c zenon_H270 zenon_H48c zenon_H259 zenon_H498 zenon_H3e zenon_H499 zenon_H33.
% 54.76/54.97 apply (zenon_or_s _ _ zenon_H49e); [ zenon_intro zenon_H4a0 | zenon_intro zenon_H49f ].
% 54.76/54.97 exact (zenon_H49d zenon_H4a0).
% 54.76/54.97 apply (zenon_or_s _ _ zenon_H49f); [ zenon_intro zenon_H4e | zenon_intro zenon_H4a1 ].
% 54.76/54.97 apply (zenon_L559_); trivial.
% 54.76/54.97 apply (zenon_or_s _ _ zenon_H4a1); [ zenon_intro zenon_H49a | zenon_intro zenon_H42a ].
% 54.76/54.97 apply (zenon_L555_); trivial.
% 54.76/54.97 apply (zenon_L556_); trivial.
% 54.76/54.97 (* end of lemma zenon_L560_ *)
% 54.76/54.97 assert (zenon_L561_ : (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> ((e12) = (op1 (op1 (op1 (e11) (e11)) (op1 (e11) (e11))) (op1 (e11) (e11)))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e12) (e12)) = (e12))) -> (~((op1 (e12) (e13)) = (e12))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> ((op1 (e11) (op1 (e11) (e12))) = (e12)) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e12))\/((op1 (e11) (e10)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> ((op1 (e11) (op1 (e11) (e11))) = (e11)) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> ((op1 (e11) (op1 (e11) (e10))) = (e10)) -> (~((op1 (e12) (e12)) = (e11))) -> ((op1 (e10) (e10)) = (e13)) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e11)) = (e12))\/((op1 (e10) (e11)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e11) (e11)) = (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 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> ((e10) = (op1 (e11) (e11))) -> ((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((e12) = (e13))) -> ((op1 (e12) (e11)) = (e12)) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> ((op1 (e11) (op1 (e11) (e13))) = (e13)) -> ((op1 (e11) (e13)) = (e11)) -> False).
% 54.76/54.97 do 0 intro. intros zenon_H1fa zenon_H358 zenon_H32b zenon_H25 zenon_H23b zenon_H155 zenon_H21a zenon_H1d1 zenon_H27d zenon_H30e zenon_H186 zenon_H1ed zenon_H375 zenon_H32e zenon_H172 zenon_H179 zenon_H180 zenon_H1be zenon_H1b1 zenon_H15f zenon_H14b zenon_H2a5 zenon_H2a6 zenon_H1da zenon_H2a3 zenon_H292 zenon_H23f zenon_H1a3 zenon_H1d8 zenon_H2b1 zenon_H154 zenon_H15a zenon_H206 zenon_H19d zenon_H360 zenon_H2f8 zenon_H1fd zenon_H301 zenon_H316 zenon_H204 zenon_H2c2 zenon_H313 zenon_H17 zenon_H2b9 zenon_H13 zenon_H15 zenon_H1cc zenon_H2ad zenon_H2e7 zenon_H236 zenon_H202 zenon_H18a zenon_H29e zenon_H214.
% 54.76/54.97 apply (zenon_or_s _ _ zenon_H1fa); [ zenon_intro zenon_H156 | zenon_intro zenon_H1fb ].
% 54.76/54.97 apply (zenon_L63_); trivial.
% 54.76/54.97 apply (zenon_or_s _ _ zenon_H1fb); [ zenon_intro zenon_H1b8 | zenon_intro zenon_H1fc ].
% 54.76/54.97 apply (zenon_L502_); trivial.
% 54.76/54.97 apply (zenon_or_s _ _ zenon_H1fc); [ zenon_intro zenon_H1c6 | zenon_intro zenon_H1ec ].
% 54.76/54.97 apply (zenon_L506_); trivial.
% 54.76/54.97 apply (zenon_L508_); trivial.
% 54.76/54.97 (* end of lemma zenon_L561_ *)
% 54.76/54.97 assert (zenon_L562_ : (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> ((op1 (e11) (op1 (e11) (e13))) = (e13)) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> ((op1 (e12) (e11)) = (e12)) -> (~((e12) = (e13))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((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)) = (op1 (e11) (e10)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e12)) = (e11))) -> ((op1 (e11) (op1 (e11) (e10))) = (e10)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> ((op1 (e11) (op1 (e11) (e11))) = (e11)) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e12))\/((op1 (e11) (e10)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> ((op1 (e11) (op1 (e11) (e12))) = (e12)) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e12) (e13)) = (e12))) -> (~((op1 (e12) (e12)) = (e12))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> ((e12) = (op1 (op1 (op1 (e11) (e11)) (op1 (e11) (e11))) (op1 (e11) (e11)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e11)) = (e11))) -> (~((h2 (op1 (e11) (e10))) = (op2 (h2 (e11)) (h2 (e10))))) -> ((op2 (e21) (e20)) = (e21)) -> ((h2 (e11)) = (e21)) -> ((h2 (e10)) = (op2 (e21) (e21))) -> ((e20) = (op2 (e21) (e21))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> ((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) -> ((e10) = (op1 (e11) (e11))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> False).
% 54.76/54.97 do 0 intro. intros zenon_H1a0 zenon_H29e zenon_H18a zenon_H202 zenon_H236 zenon_H2e7 zenon_H2ad zenon_H1cc zenon_H2b9 zenon_H313 zenon_H2c2 zenon_H204 zenon_H316 zenon_H301 zenon_H1fd zenon_H2f8 zenon_H360 zenon_H19d zenon_H206 zenon_H15a zenon_H154 zenon_H2b1 zenon_H1d8 zenon_H23f zenon_H292 zenon_H2a3 zenon_H1da zenon_H2a6 zenon_H2a5 zenon_H14b zenon_H15f zenon_H1b1 zenon_H1be zenon_H180 zenon_H179 zenon_H172 zenon_H32e zenon_H375 zenon_H1ed zenon_H186 zenon_H30e zenon_H27d zenon_H1d1 zenon_H21a zenon_H155 zenon_H23b zenon_H32b zenon_H358 zenon_H1fa zenon_H1a9 zenon_H473 zenon_H48c zenon_H4e zenon_H270 zenon_H26c zenon_H33 zenon_H474 zenon_H17 zenon_H1e zenon_H15 zenon_H13 zenon_H25.
% 54.76/54.97 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_H1a3 | zenon_intro zenon_H1a2 ].
% 54.76/54.97 apply (zenon_or_s _ _ zenon_H474); [ zenon_intro zenon_H163 | zenon_intro zenon_H475 ].
% 54.76/54.97 apply (zenon_L552_); trivial.
% 54.76/54.97 apply (zenon_or_s _ _ zenon_H475); [ zenon_intro zenon_H1a7 | zenon_intro zenon_H476 ].
% 54.76/54.97 exact (zenon_H473 zenon_H1a7).
% 54.76/54.97 apply (zenon_or_s _ _ zenon_H476); [ zenon_intro zenon_H1a8 | zenon_intro zenon_H214 ].
% 54.76/54.97 apply (zenon_L82_); trivial.
% 54.76/54.97 apply (zenon_L561_); trivial.
% 54.76/54.97 apply (zenon_or_s _ _ zenon_H1a2); [ zenon_intro zenon_H16 | zenon_intro zenon_H1a4 ].
% 54.76/54.97 apply (zenon_L2_); trivial.
% 54.76/54.97 apply (zenon_or_s _ _ zenon_H1a4); [ zenon_intro zenon_H1d | zenon_intro zenon_H24 ].
% 54.76/54.97 apply (zenon_L3_); trivial.
% 54.76/54.97 apply (zenon_L4_); trivial.
% 54.76/54.97 (* end of lemma zenon_L562_ *)
% 54.76/54.97 assert (zenon_L563_ : ((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13)))) -> ((op1 (e10) (e12)) = (e10)) -> ((op1 (e12) (e10)) = (e10)) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((op2 (e20) (e20)) = (e21))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (~((h2 (op1 (e11) (e10))) = (op2 (h2 (e11)) (h2 (e10))))) -> ((e20) = (op2 (e21) (e21))) -> ((h2 (e10)) = (op2 (e21) (e21))) -> ((h2 (e11)) = (e21)) -> (~((op1 (e11) (e11)) = (e11))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e12))\/((op1 (e11) (e10)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> ((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) -> ((e12) = (op1 (op1 (op1 (e11) (e11)) (op1 (e11) (e11))) (op1 (e11) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> ((e10) = (op1 (e11) (e11))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> ((op1 (e12) (e11)) = (e12)) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e12)) = (e11))) -> ((op1 (e11) (op1 (e11) (e10))) = (e10)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> ((op1 (e11) (op1 (e11) (e11))) = (e11)) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> ((op1 (e11) (op1 (e11) (e12))) = (e12)) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((e12) = (e13))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> ((op1 (e11) (op1 (e11) (e13))) = (e13)) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e12) (e12)) = (e12))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e11)) = (e12))\/((op1 (e10) (e11)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> ((op2 (e21) (op2 (e21) (e21))) = (e21)) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> (((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e21))\/((op2 (e23) (e20)) = (e21))))) -> False).
% 54.76/54.97 do 0 intro. intros zenon_H22c zenon_H18f zenon_H293 zenon_H1de zenon_H49d zenon_H1a0 zenon_H1e zenon_H48c zenon_H33 zenon_H26c zenon_H270 zenon_H473 zenon_H15f zenon_H15a zenon_H15 zenon_H155 zenon_H154 zenon_H1a9 zenon_H13 zenon_H14b zenon_H1fa zenon_H202 zenon_H1be zenon_H1da zenon_H1d8 zenon_H23f zenon_H292 zenon_H2a3 zenon_H2a5 zenon_H2a6 zenon_H2b1 zenon_H1b1 zenon_H375 zenon_H1ed zenon_H32e zenon_H2ad zenon_H236 zenon_H32b zenon_H19d zenon_H316 zenon_H360 zenon_H1cc zenon_H18a zenon_H1fd zenon_H172 zenon_H29e zenon_H2f8 zenon_H301 zenon_H23b zenon_H1d1 zenon_H204 zenon_H179 zenon_H180 zenon_H186 zenon_H17 zenon_H206 zenon_H2b9 zenon_H30e zenon_H25 zenon_H2e7 zenon_H21a zenon_H358 zenon_H313 zenon_H2c2 zenon_H474 zenon_H498 zenon_H499 zenon_H3e zenon_H49e.
% 54.76/54.97 apply (zenon_or_s _ _ zenon_H22c); [ zenon_intro zenon_H27d | zenon_intro zenon_H29d ].
% 54.76/54.97 apply (zenon_or_s _ _ zenon_H49e); [ zenon_intro zenon_H4a0 | zenon_intro zenon_H49f ].
% 54.76/54.97 exact (zenon_H49d zenon_H4a0).
% 54.76/54.97 apply (zenon_or_s _ _ zenon_H49f); [ zenon_intro zenon_H4e | zenon_intro zenon_H4a1 ].
% 54.76/54.97 apply (zenon_L562_); trivial.
% 54.76/54.97 apply (zenon_or_s _ _ zenon_H4a1); [ zenon_intro zenon_H49a | zenon_intro zenon_H42a ].
% 54.76/54.97 apply (zenon_L555_); trivial.
% 54.76/54.97 apply (zenon_L556_); trivial.
% 54.76/54.97 apply (zenon_L144_); trivial.
% 54.76/54.97 (* end of lemma zenon_L563_ *)
% 54.76/54.97 assert (zenon_L564_ : (((op1 (e10) (e12)) = (e10))/\(((op1 (e12) (e10)) = (e10))/\(((~((op1 (e12) (e10)) = (e12)))\/(~((op1 (e12) (e12)) = (e10))))/\(((~((op1 (e12) (e11)) = (e12)))\/(~((op1 (e12) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13))))))))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((op2 (e20) (e20)) = (e21))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (~((h2 (op1 (e11) (e10))) = (op2 (h2 (e11)) (h2 (e10))))) -> ((e20) = (op2 (e21) (e21))) -> ((h2 (e10)) = (op2 (e21) (e21))) -> ((h2 (e11)) = (e21)) -> (~((op1 (e11) (e11)) = (e11))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e12))\/((op1 (e11) (e10)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> ((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) -> ((e12) = (op1 (op1 (op1 (e11) (e11)) (op1 (e11) (e11))) (op1 (e11) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> ((e10) = (op1 (e11) (e11))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e11) (op1 (e11) (e10))) = (e10)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> ((op1 (e11) (op1 (e11) (e11))) = (e11)) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> ((op1 (e11) (op1 (e11) (e12))) = (e12)) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((e12) = (e13))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> ((op1 (e11) (op1 (e11) (e13))) = (e13)) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (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 (e12) (e11)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e11)) = (e12))\/((op1 (e10) (e11)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> ((op2 (e21) (op2 (e21) (e21))) = (e21)) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> (((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e21))\/((op2 (e23) (e20)) = (e21))))) -> ((op1 (e12) (e11)) = (e12)) -> False).
% 54.76/54.97 do 0 intro. intros zenon_H197 zenon_H1de zenon_H49d zenon_H1a0 zenon_H1e zenon_H48c zenon_H33 zenon_H26c zenon_H270 zenon_H473 zenon_H15f zenon_H15a zenon_H15 zenon_H155 zenon_H154 zenon_H1a9 zenon_H13 zenon_H14b zenon_H1fa zenon_H1be zenon_H1da zenon_H1d8 zenon_H292 zenon_H2a3 zenon_H2a5 zenon_H2a6 zenon_H2b1 zenon_H1b1 zenon_H375 zenon_H1ed zenon_H32e zenon_H2ad zenon_H236 zenon_H32b zenon_H19d zenon_H316 zenon_H360 zenon_H1cc zenon_H18a zenon_H1fd zenon_H172 zenon_H29e zenon_H2f8 zenon_H301 zenon_H23b zenon_H204 zenon_H179 zenon_H180 zenon_H186 zenon_H17 zenon_H206 zenon_H2b9 zenon_H30e zenon_H25 zenon_H2e7 zenon_H21a zenon_H358 zenon_H313 zenon_H2c2 zenon_H474 zenon_H498 zenon_H499 zenon_H3e zenon_H49e zenon_H202.
% 54.76/54.97 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_H18f. zenon_intro zenon_H198.
% 54.76/54.97 apply (zenon_and_s _ _ zenon_H198). zenon_intro zenon_H293. zenon_intro zenon_H227.
% 54.76/54.97 apply (zenon_and_s _ _ zenon_H227). zenon_intro zenon_H229. zenon_intro zenon_H228.
% 54.76/54.97 apply (zenon_and_s _ _ zenon_H228). zenon_intro zenon_H22b. zenon_intro zenon_H22a.
% 54.76/54.97 apply (zenon_and_s _ _ zenon_H22a). zenon_intro zenon_H224. zenon_intro zenon_H22c.
% 54.76/54.97 apply (zenon_or_s _ _ zenon_H22b); [ zenon_intro zenon_H23c | zenon_intro zenon_H23f ].
% 54.76/54.97 exact (zenon_H23c zenon_H202).
% 54.76/54.97 apply (zenon_or_s _ _ zenon_H224); [ zenon_intro zenon_H1d1 | zenon_intro zenon_H1d1 ].
% 54.76/54.97 apply (zenon_L563_); trivial.
% 54.76/54.97 apply (zenon_L563_); trivial.
% 54.76/54.97 (* end of lemma zenon_L564_ *)
% 54.76/54.97 assert (zenon_L565_ : (~((h2 (op1 (e11) (e12))) = (op2 (h2 (e11)) (h2 (e12))))) -> ((op1 (e11) (e12)) = (e12)) -> ((op2 (e21) (e22)) = (e22)) -> ((h2 (e11)) = (e21)) -> ((h2 (e12)) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> ((e22) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> False).
% 54.76/54.97 do 0 intro. intros zenon_H4a2 zenon_H1c6 zenon_Hd4 zenon_H270 zenon_H44f zenon_H3f.
% 54.76/54.97 cut (((h2 (e12)) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) = ((h2 (op1 (e11) (e12))) = (op2 (h2 (e11)) (h2 (e12))))).
% 54.76/54.97 intro zenon_D_pnotp.
% 54.76/54.97 apply zenon_H4a2.
% 54.76/54.97 rewrite <- zenon_D_pnotp.
% 54.76/54.97 exact zenon_H44f.
% 54.76/54.97 cut (((op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21))) = (op2 (h2 (e11)) (h2 (e12))))); [idtac | apply NNPP; zenon_intro zenon_H4a3].
% 54.76/54.97 cut (((h2 (e12)) = (h2 (op1 (e11) (e12))))); [idtac | apply NNPP; zenon_intro zenon_H4a4].
% 54.76/54.97 congruence.
% 54.76/54.97 elim (classic ((h2 (op1 (e11) (e12))) = (h2 (op1 (e11) (e12))))); [ zenon_intro zenon_H4a5 | zenon_intro zenon_H4a6 ].
% 54.76/54.97 cut (((h2 (op1 (e11) (e12))) = (h2 (op1 (e11) (e12)))) = ((h2 (e12)) = (h2 (op1 (e11) (e12))))).
% 54.76/54.97 intro zenon_D_pnotp.
% 54.76/54.97 apply zenon_H4a4.
% 54.76/54.97 rewrite <- zenon_D_pnotp.
% 54.76/54.97 exact zenon_H4a5.
% 54.76/54.97 cut (((h2 (op1 (e11) (e12))) = (h2 (op1 (e11) (e12))))); [idtac | apply NNPP; zenon_intro zenon_H4a6].
% 54.76/54.97 cut (((h2 (op1 (e11) (e12))) = (h2 (e12)))); [idtac | apply NNPP; zenon_intro zenon_H4a7].
% 54.76/54.97 congruence.
% 54.76/54.97 cut (((op1 (e11) (e12)) = (e12))); [idtac | apply NNPP; zenon_intro zenon_H4a8].
% 54.76/54.97 congruence.
% 54.76/54.97 exact (zenon_H4a8 zenon_H1c6).
% 54.76/54.97 apply zenon_H4a6. apply refl_equal.
% 54.76/54.97 apply zenon_H4a6. apply refl_equal.
% 54.76/54.97 elim (classic ((op2 (h2 (e11)) (h2 (e12))) = (op2 (h2 (e11)) (h2 (e12))))); [ zenon_intro zenon_H4a9 | zenon_intro zenon_H4aa ].
% 54.76/54.97 cut (((op2 (h2 (e11)) (h2 (e12))) = (op2 (h2 (e11)) (h2 (e12)))) = ((op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21))) = (op2 (h2 (e11)) (h2 (e12))))).
% 54.76/54.97 intro zenon_D_pnotp.
% 54.76/54.97 apply zenon_H4a3.
% 54.76/54.97 rewrite <- zenon_D_pnotp.
% 54.76/54.97 exact zenon_H4a9.
% 54.76/54.97 cut (((op2 (h2 (e11)) (h2 (e12))) = (op2 (h2 (e11)) (h2 (e12))))); [idtac | apply NNPP; zenon_intro zenon_H4aa].
% 54.76/54.97 cut (((op2 (h2 (e11)) (h2 (e12))) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21))))); [idtac | apply NNPP; zenon_intro zenon_H4ab].
% 54.76/54.97 congruence.
% 54.76/54.97 cut (((op2 (e21) (e22)) = (e22)) = ((op2 (h2 (e11)) (h2 (e12))) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21))))).
% 54.76/54.97 intro zenon_D_pnotp.
% 54.76/54.97 apply zenon_H4ab.
% 54.76/54.97 rewrite <- zenon_D_pnotp.
% 54.76/54.97 exact zenon_Hd4.
% 54.76/54.97 cut (((e22) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21))))); [idtac | apply NNPP; zenon_intro zenon_H46e].
% 54.76/54.97 cut (((op2 (e21) (e22)) = (op2 (h2 (e11)) (h2 (e12))))); [idtac | apply NNPP; zenon_intro zenon_H4ac].
% 54.76/54.97 congruence.
% 54.76/54.97 elim (classic ((op2 (h2 (e11)) (h2 (e12))) = (op2 (h2 (e11)) (h2 (e12))))); [ zenon_intro zenon_H4a9 | zenon_intro zenon_H4aa ].
% 54.76/54.97 cut (((op2 (h2 (e11)) (h2 (e12))) = (op2 (h2 (e11)) (h2 (e12)))) = ((op2 (e21) (e22)) = (op2 (h2 (e11)) (h2 (e12))))).
% 54.76/54.97 intro zenon_D_pnotp.
% 54.76/54.97 apply zenon_H4ac.
% 54.76/54.97 rewrite <- zenon_D_pnotp.
% 54.76/54.97 exact zenon_H4a9.
% 54.76/54.97 cut (((op2 (h2 (e11)) (h2 (e12))) = (op2 (h2 (e11)) (h2 (e12))))); [idtac | apply NNPP; zenon_intro zenon_H4aa].
% 54.76/54.97 cut (((op2 (h2 (e11)) (h2 (e12))) = (op2 (e21) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H4ad].
% 54.76/54.97 congruence.
% 54.76/54.97 cut (((h2 (e12)) = (e22))); [idtac | apply NNPP; zenon_intro zenon_H44e].
% 54.76/54.97 cut (((h2 (e11)) = (e21))); [idtac | apply NNPP; zenon_intro zenon_H27c].
% 54.76/54.97 congruence.
% 54.76/54.97 exact (zenon_H27c zenon_H270).
% 54.76/54.97 apply (zenon_L469_); trivial.
% 54.76/54.97 apply zenon_H4aa. apply refl_equal.
% 54.76/54.97 apply zenon_H4aa. apply refl_equal.
% 54.76/54.97 exact (zenon_H46e zenon_H3f).
% 54.76/54.97 apply zenon_H4aa. apply refl_equal.
% 54.76/54.97 apply zenon_H4aa. apply refl_equal.
% 54.76/54.97 (* end of lemma zenon_L565_ *)
% 54.76/54.97 assert (zenon_L566_ : (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> ((e10) = (op1 (e11) (e11))) -> ((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> ((e12) = (op1 (op1 (op1 (e11) (e11)) (op1 (e11) (e11))) (op1 (e11) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e12))\/((op1 (e11) (e10)) = (e13))))) -> ((e22) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> ((h2 (e12)) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> ((h2 (e11)) = (e21)) -> ((op2 (e21) (e22)) = (e22)) -> (~((h2 (op1 (e11) (e12))) = (op2 (h2 (e11)) (h2 (e12))))) -> ((op1 (e11) (op1 (e11) (e12))) = (e12)) -> ((op1 (e10) (e13)) = (e12)) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> False).
% 54.76/54.97 do 0 intro. intros zenon_H1f7 zenon_H1e8 zenon_H15a zenon_H13 zenon_H15 zenon_H154 zenon_H155 zenon_H1a9 zenon_H14b zenon_H15f zenon_H3f zenon_H44f zenon_H270 zenon_Hd4 zenon_H4a2 zenon_H375 zenon_H31b zenon_H30e.
% 54.76/54.97 apply (zenon_or_s _ _ zenon_H1f7); [ zenon_intro zenon_H1e7 | zenon_intro zenon_H1f8 ].
% 54.76/54.97 apply (zenon_L94_); trivial.
% 54.76/54.97 apply (zenon_or_s _ _ zenon_H1f8); [ zenon_intro zenon_H1a8 | zenon_intro zenon_H1f9 ].
% 54.76/54.97 apply (zenon_L82_); trivial.
% 54.76/54.97 apply (zenon_or_s _ _ zenon_H1f9); [ zenon_intro zenon_H1c6 | zenon_intro zenon_H1f3 ].
% 54.76/54.97 apply (zenon_L565_); trivial.
% 54.76/54.97 apply (zenon_L496_); trivial.
% 54.76/54.97 (* end of lemma zenon_L566_ *)
% 54.76/54.97 assert (zenon_L567_ : (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((e12) = (e13))) -> ((op1 (e12) (e11)) = (e12)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> ((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) -> ((e10) = (op1 (e11) (e11))) -> ((e12) = (op1 (op1 (op1 (e11) (e11)) (op1 (e11) (e11))) (op1 (e11) (e11)))) -> (~((op1 (e12) (e13)) = (e12))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e12))\/((op1 (e11) (e10)) = (e13))))) -> ((e22) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> ((h2 (e12)) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> ((h2 (e11)) = (e21)) -> ((op2 (e21) (e22)) = (e22)) -> (~((h2 (op1 (e11) (e12))) = (op2 (h2 (e11)) (h2 (e12))))) -> ((op1 (e11) (op1 (e11) (e12))) = (e12)) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> ((op1 (e11) (op1 (e11) (e13))) = (e13)) -> ((op1 (e11) (e13)) = (e13)) -> False).
% 54.76/54.97 do 0 intro. intros zenon_H2e7 zenon_H2ad zenon_H236 zenon_H202 zenon_H180 zenon_H15 zenon_H13 zenon_H155 zenon_H27d zenon_H1cc zenon_H1f7 zenon_H1e8 zenon_H15a zenon_H154 zenon_H1a9 zenon_H14b zenon_H15f zenon_H3f zenon_H44f zenon_H270 zenon_Hd4 zenon_H4a2 zenon_H375 zenon_H30e zenon_H32e zenon_H2c0 zenon_H29e zenon_H234.
% 54.76/54.97 apply (zenon_or_s _ _ zenon_H2e7); [ zenon_intro zenon_H2ac | zenon_intro zenon_H2e8 ].
% 54.76/54.97 apply (zenon_L154_); trivial.
% 54.76/54.97 apply (zenon_or_s _ _ zenon_H2e8); [ zenon_intro zenon_H2e3 | zenon_intro zenon_H2e9 ].
% 54.76/54.97 apply (zenon_L482_); trivial.
% 54.76/54.97 apply (zenon_or_s _ _ zenon_H2e9); [ zenon_intro zenon_H1d3 | zenon_intro zenon_H235 ].
% 54.76/54.97 apply (zenon_or_s _ _ zenon_H32e); [ zenon_intro zenon_H31b | zenon_intro zenon_H32f ].
% 54.76/54.97 apply (zenon_L566_); trivial.
% 54.76/54.97 apply (zenon_or_s _ _ zenon_H32f); [ zenon_intro zenon_H1ec | zenon_intro zenon_H330 ].
% 54.76/54.97 apply (zenon_L483_); trivial.
% 54.76/54.97 apply (zenon_or_s _ _ zenon_H330); [ zenon_intro zenon_H22f | zenon_intro zenon_H17f ].
% 54.76/54.97 exact (zenon_H27d zenon_H22f).
% 54.76/54.97 apply (zenon_L71_); trivial.
% 54.76/54.97 apply (zenon_L165_); trivial.
% 54.76/54.97 (* end of lemma zenon_L567_ *)
% 54.76/54.97 assert (zenon_L568_ : (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> ((op1 (e11) (e13)) = (e13)) -> ((op1 (e11) (op1 (e11) (e13))) = (e13)) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> ((op1 (e11) (op1 (e11) (e12))) = (e12)) -> (~((h2 (op1 (e11) (e12))) = (op2 (h2 (e11)) (h2 (e12))))) -> ((op2 (e21) (e22)) = (e22)) -> ((h2 (e11)) = (e21)) -> ((h2 (e12)) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> ((e22) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e12))\/((op1 (e11) (e10)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> ((e12) = (op1 (op1 (op1 (e11) (e11)) (op1 (e11) (e11))) (op1 (e11) (e11)))) -> ((e10) = (op1 (e11) (e11))) -> ((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((e12) = (e13))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e12) (e12)) = (e12))) -> (~((op1 (e12) (e13)) = (e12))) -> False).
% 54.76/54.98 do 0 intro. intros zenon_H23b zenon_H21a zenon_H234 zenon_H29e zenon_H2c0 zenon_H32e zenon_H30e zenon_H375 zenon_H4a2 zenon_Hd4 zenon_H270 zenon_H44f zenon_H3f zenon_H15f zenon_H14b zenon_H1a9 zenon_H154 zenon_H15a zenon_H1e8 zenon_H1f7 zenon_H1cc zenon_H155 zenon_H13 zenon_H15 zenon_H180 zenon_H236 zenon_H2ad zenon_H2e7 zenon_H1d1 zenon_H27d.
% 54.76/54.98 apply (zenon_or_s _ _ zenon_H23b); [ zenon_intro zenon_H21b | zenon_intro zenon_H23d ].
% 54.76/54.98 apply (zenon_L109_); trivial.
% 54.76/54.98 apply (zenon_or_s _ _ zenon_H23d); [ zenon_intro zenon_H202 | zenon_intro zenon_H23e ].
% 54.76/54.98 apply (zenon_L567_); trivial.
% 54.76/54.98 apply (zenon_or_s _ _ zenon_H23e); [ zenon_intro zenon_H1cb | zenon_intro zenon_H22f ].
% 54.76/54.98 exact (zenon_H1d1 zenon_H1cb).
% 54.76/54.98 exact (zenon_H27d zenon_H22f).
% 54.76/54.98 (* end of lemma zenon_L568_ *)
% 54.76/54.98 assert (zenon_L569_ : (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((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)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> ((op1 (e11) (e11)) = (e12)) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> ((op1 (e11) (op1 (e11) (e13))) = (e13)) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> ((op1 (e11) (op1 (e11) (e12))) = (e12)) -> (~((h2 (op1 (e11) (e12))) = (op2 (h2 (e11)) (h2 (e12))))) -> ((op2 (e21) (e22)) = (e22)) -> ((h2 (e11)) = (e21)) -> ((h2 (e12)) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> ((e22) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e12))\/((op1 (e11) (e10)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> ((e12) = (op1 (op1 (op1 (e11) (e11)) (op1 (e11) (e11))) (op1 (e11) (e11)))) -> ((e10) = (op1 (e11) (e11))) -> ((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((e12) = (e13))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e12) (e12)) = (e12))) -> (~((op1 (e12) (e13)) = (e12))) -> False).
% 54.76/54.98 do 0 intro. intros zenon_H2c2 zenon_H17 zenon_H179 zenon_H172 zenon_H204 zenon_H186 zenon_H316 zenon_H301 zenon_H18a zenon_H1fd zenon_H2f8 zenon_H360 zenon_H19d zenon_H206 zenon_H25 zenon_H32b zenon_H2b9 zenon_H358 zenon_H1b8 zenon_H23b zenon_H21a zenon_H29e zenon_H2c0 zenon_H32e zenon_H30e zenon_H375 zenon_H4a2 zenon_Hd4 zenon_H270 zenon_H44f zenon_H3f zenon_H15f zenon_H14b zenon_H1a9 zenon_H154 zenon_H15a zenon_H1e8 zenon_H1f7 zenon_H1cc zenon_H155 zenon_H13 zenon_H15 zenon_H180 zenon_H236 zenon_H2ad zenon_H2e7 zenon_H1d1 zenon_H27d.
% 54.76/54.98 apply (zenon_or_s _ _ zenon_H2c2); [ zenon_intro zenon_H159 | zenon_intro zenon_H2c3 ].
% 54.76/54.98 apply (zenon_L64_); trivial.
% 54.76/54.98 apply (zenon_or_s _ _ zenon_H2c3); [ zenon_intro zenon_H2b7 | zenon_intro zenon_H2c4 ].
% 54.76/54.98 apply (zenon_L490_); trivial.
% 54.76/54.98 apply (zenon_or_s _ _ zenon_H2c4); [ zenon_intro zenon_H1f3 | zenon_intro zenon_H234 ].
% 54.76/54.98 apply (zenon_L289_); trivial.
% 54.76/54.98 apply (zenon_L568_); trivial.
% 54.76/54.98 (* end of lemma zenon_L569_ *)
% 54.76/54.98 assert (zenon_L570_ : (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e12) (e13)) = (e12))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((e12) = (e13))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> ((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) -> ((e12) = (op1 (op1 (op1 (e11) (e11)) (op1 (e11) (e11))) (op1 (e11) (e11)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e12))\/((op1 (e11) (e10)) = (e13))))) -> ((op1 (e11) (op1 (e11) (e12))) = (e12)) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e11)) = (e12))\/((op1 (e10) (e11)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> ((e22) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> ((h2 (e12)) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> ((h2 (e11)) = (e21)) -> ((op2 (e21) (e22)) = (e22)) -> (~((h2 (op1 (e11) (e12))) = (op2 (h2 (e11)) (h2 (e12))))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> ((op1 (e11) (op1 (e11) (e10))) = (e10)) -> ((op1 (e12) (e10)) = (e10)) -> ((op1 (e11) (e10)) = (e11)) -> ((op1 (e10) (e12)) = (e10)) -> ((e10) = (op1 (e11) (e11))) -> (~((op1 (e12) (e12)) = (e11))) -> (~((op1 (e12) (e12)) = (e12))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> ((op1 (e11) (op1 (e11) (e13))) = (e13)) -> False).
% 54.76/54.98 do 0 intro. intros zenon_H1fa zenon_H27d zenon_H2e7 zenon_H2ad zenon_H236 zenon_H180 zenon_H15 zenon_H155 zenon_H1f7 zenon_H1e8 zenon_H15a zenon_H154 zenon_H1a9 zenon_H14b zenon_H15f zenon_H375 zenon_H30e zenon_H32e zenon_H2c0 zenon_H21a zenon_H23b zenon_H358 zenon_H2b9 zenon_H32b zenon_H25 zenon_H206 zenon_H19d zenon_H360 zenon_H2f8 zenon_H1fd zenon_H18a zenon_H301 zenon_H316 zenon_H186 zenon_H204 zenon_H172 zenon_H179 zenon_H17 zenon_H2c2 zenon_H3f zenon_H44f zenon_H270 zenon_Hd4 zenon_H4a2 zenon_H1da zenon_H1de zenon_H292 zenon_H293 zenon_H163 zenon_H18f zenon_H13 zenon_H23f zenon_H1d1 zenon_H1cc zenon_H29e.
% 54.76/54.98 apply (zenon_or_s _ _ zenon_H1fa); [ zenon_intro zenon_H156 | zenon_intro zenon_H1fb ].
% 54.76/54.98 apply (zenon_L63_); trivial.
% 54.76/54.98 apply (zenon_or_s _ _ zenon_H1fb); [ zenon_intro zenon_H1b8 | zenon_intro zenon_H1fc ].
% 54.76/54.98 apply (zenon_L569_); trivial.
% 54.76/54.98 apply (zenon_or_s _ _ zenon_H1fc); [ zenon_intro zenon_H1c6 | zenon_intro zenon_H1ec ].
% 54.76/54.98 apply (zenon_L565_); trivial.
% 54.76/54.98 apply (zenon_L500_); trivial.
% 54.76/54.98 (* end of lemma zenon_L570_ *)
% 54.76/54.98 assert (zenon_L571_ : (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> ((e12) = (op1 (op1 (op1 (e11) (e11)) (op1 (e11) (e11))) (op1 (e11) (e11)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((e12) = (e13))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> ((op1 (e11) (op1 (e11) (e13))) = (e13)) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e11)) = (e12))\/((op1 (e10) (e11)) = (e13))))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> ((op1 (e11) (op1 (e11) (e12))) = (e12)) -> (~((h2 (op1 (e11) (e12))) = (op2 (h2 (e11)) (h2 (e12))))) -> ((op2 (e21) (e22)) = (e22)) -> ((h2 (e11)) = (e21)) -> ((h2 (e12)) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> ((e22) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e12))\/((op1 (e11) (e10)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e12)) = (e12))) -> (~((op1 (e12) (e13)) = (e12))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e12)) = (e11))) -> ((op1 (e11) (op1 (e11) (e10))) = (e10)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> ((op1 (e11) (op1 (e11) (e11))) = (e11)) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e11) (e11)) = (e11))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> ((op1 (e12) (e10)) = (e10)) -> ((op1 (e10) (e12)) = (e10)) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> ((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) -> ((e10) = (op1 (e11) (e11))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> False).
% 54.76/54.98 do 0 intro. intros zenon_H1a0 zenon_H172 zenon_H155 zenon_H313 zenon_H2b9 zenon_H1cc zenon_H2ad zenon_H2e7 zenon_H236 zenon_H18a zenon_H29e zenon_H2c2 zenon_H179 zenon_H204 zenon_H186 zenon_H316 zenon_H301 zenon_H1fd zenon_H2f8 zenon_H360 zenon_H19d zenon_H206 zenon_H32b zenon_H358 zenon_H23b zenon_H21a zenon_H2c0 zenon_H32e zenon_H30e zenon_H375 zenon_H4a2 zenon_Hd4 zenon_H270 zenon_H44f zenon_H3f zenon_H15f zenon_H14b zenon_H1a9 zenon_H154 zenon_H15a zenon_H1e8 zenon_H1f7 zenon_H180 zenon_H1d1 zenon_H27d zenon_H209 zenon_H2b1 zenon_H1d8 zenon_H23f zenon_H292 zenon_H2a3 zenon_H1da zenon_H2a6 zenon_H2a5 zenon_H1b1 zenon_H1be zenon_H1ed zenon_H1fa zenon_H473 zenon_H1de zenon_H293 zenon_H18f zenon_H474 zenon_H17 zenon_H1e zenon_H15 zenon_H13 zenon_H25.
% 54.76/54.98 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_H1a3 | zenon_intro zenon_H1a2 ].
% 54.76/54.98 apply (zenon_or_s _ _ zenon_H474); [ zenon_intro zenon_H163 | zenon_intro zenon_H475 ].
% 54.76/54.98 apply (zenon_L570_); trivial.
% 54.76/54.98 apply (zenon_or_s _ _ zenon_H475); [ zenon_intro zenon_H1a7 | zenon_intro zenon_H476 ].
% 54.76/54.98 exact (zenon_H473 zenon_H1a7).
% 54.76/54.98 apply (zenon_or_s _ _ zenon_H476); [ zenon_intro zenon_H1a8 | zenon_intro zenon_H214 ].
% 54.76/54.98 apply (zenon_L82_); trivial.
% 54.76/54.98 apply (zenon_or_s _ _ zenon_H1fa); [ zenon_intro zenon_H156 | zenon_intro zenon_H1fb ].
% 54.76/54.98 apply (zenon_L63_); trivial.
% 54.76/54.98 apply (zenon_or_s _ _ zenon_H1fb); [ zenon_intro zenon_H1b8 | zenon_intro zenon_H1fc ].
% 54.76/54.98 apply (zenon_L569_); trivial.
% 54.76/54.98 apply (zenon_or_s _ _ zenon_H1fc); [ zenon_intro zenon_H1c6 | zenon_intro zenon_H1ec ].
% 54.76/54.98 apply (zenon_L506_); trivial.
% 54.76/54.98 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H1dc | zenon_intro zenon_H20a ].
% 54.76/54.98 apply (zenon_L486_); trivial.
% 54.76/54.98 apply (zenon_or_s _ _ zenon_H20a); [ zenon_intro zenon_H1b8 | zenon_intro zenon_H20b ].
% 54.76/54.98 apply (zenon_L569_); trivial.
% 54.76/54.98 apply (zenon_or_s _ _ zenon_H20b); [ zenon_intro zenon_H202 | zenon_intro zenon_H171 ].
% 54.76/54.98 apply (zenon_L508_); trivial.
% 54.76/54.98 apply (zenon_L69_); trivial.
% 54.76/54.98 apply (zenon_or_s _ _ zenon_H1a2); [ zenon_intro zenon_H16 | zenon_intro zenon_H1a4 ].
% 54.76/54.98 apply (zenon_L2_); trivial.
% 54.76/54.98 apply (zenon_or_s _ _ zenon_H1a4); [ zenon_intro zenon_H1d | zenon_intro zenon_H24 ].
% 54.76/54.98 apply (zenon_L3_); trivial.
% 54.76/54.98 apply (zenon_L4_); trivial.
% 54.76/54.98 (* end of lemma zenon_L571_ *)
% 54.76/54.98 assert (zenon_L572_ : (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> ((e23) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((e20) = (op2 (e21) (e21))) -> ((e22) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> ((op2 (e20) (e21)) = (e22)) -> (~((op2 (e22) (e22)) = (e22))) -> (~((op2 (e22) (e23)) = (e22))) -> False).
% 54.76/54.98 do 0 intro. intros zenon_Hf1 zenon_H3b zenon_H33 zenon_H3f zenon_Hb0 zenon_H286 zenon_H285 zenon_Hd7 zenon_H281.
% 54.76/54.98 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_Hb1 | zenon_intro zenon_Hf3 ].
% 54.76/54.98 apply (zenon_L30_); trivial.
% 54.76/54.98 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_Hd3 | zenon_intro zenon_Hf4 ].
% 54.76/54.98 apply (zenon_L136_); trivial.
% 54.76/54.98 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_Hd6 | zenon_intro zenon_He2 ].
% 54.76/54.98 exact (zenon_Hd7 zenon_Hd6).
% 54.76/54.98 exact (zenon_H281 zenon_He2).
% 54.76/54.98 (* end of lemma zenon_L572_ *)
% 54.76/54.98 assert (zenon_L573_ : (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> ((op2 (e21) (e23)) = (e22)) -> ((op2 (e21) (op2 (e21) (e23))) = (e23)) -> (~((op2 (e21) (e22)) = (op2 (e21) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> ((op2 (e21) (e21)) = (e23)) -> (((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e21)) = (e22))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> ((op2 (e20) (e21)) = (e21)) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> ((e23) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((e20) = (op2 (e21) (e21))) -> ((e22) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> False).
% 54.76/54.98 do 0 intro. intros zenon_H3b4 zenon_H9f zenon_H478 zenon_H395 zenon_H47a zenon_H116 zenon_H388 zenon_H3b1 zenon_H39d zenon_Hb9 zenon_H282 zenon_H60 zenon_H3b zenon_H33 zenon_H3f zenon_H3af.
% 54.76/54.98 apply (zenon_or_s _ _ zenon_H3b4); [ zenon_intro zenon_H9e | zenon_intro zenon_H3b5 ].
% 54.76/54.98 apply (zenon_L27_); trivial.
% 54.76/54.98 apply (zenon_or_s _ _ zenon_H3b5); [ zenon_intro zenon_He9 | zenon_intro zenon_H3b6 ].
% 54.76/54.98 apply (zenon_L512_); trivial.
% 54.76/54.98 apply (zenon_or_s _ _ zenon_H3b6); [ zenon_intro zenon_Heb | zenon_intro zenon_H106 ].
% 54.76/54.98 apply (zenon_L323_); trivial.
% 54.76/54.98 apply (zenon_L349_); trivial.
% 54.76/54.98 (* end of lemma zenon_L573_ *)
% 54.76/54.98 assert (zenon_L574_ : (((op2 (e22) (e20)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e22) (e23)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> (~((e22) = (e23))) -> ((op2 (e22) (e21)) = (e22)) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> ((e22) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> ((op2 (e20) (e21)) = (e21)) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> (((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e21)) = (e22))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e21) (e22)) = (op2 (e21) (e23)))) -> ((op2 (e21) (op2 (e21) (e23))) = (e23)) -> ((op2 (e21) (e23)) = (e22)) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (((op2 (e22) (e22)) = (e20))\/(((op2 (e22) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e22)) = (e23))))) -> ((op2 (e22) (e20)) = (e20)) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> (~((op2 (e22) (e22)) = (e21))) -> (~((op2 (e22) (e22)) = (e22))) -> ((e23) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((op2 (e20) (e20)) = (e23)) -> ((e20) = (op2 (e21) (e21))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> False).
% 54.76/54.98 do 0 intro. intros zenon_H3f1 zenon_H11f zenon_Hec zenon_Hd3 zenon_H3af zenon_H3f zenon_H60 zenon_H282 zenon_Hb9 zenon_H39d zenon_H3b1 zenon_H47a zenon_H395 zenon_H478 zenon_H9f zenon_H3b4 zenon_H100 zenon_H121 zenon_H37d zenon_H101 zenon_Hd7 zenon_H3b zenon_Ha8 zenon_H33 zenon_H47c.
% 54.76/54.98 apply (zenon_or_s _ _ zenon_H3f1); [ zenon_intro zenon_H3df | zenon_intro zenon_H3f2 ].
% 54.76/54.98 apply (zenon_L364_); trivial.
% 54.76/54.98 apply (zenon_or_s _ _ zenon_H3f2); [ zenon_intro zenon_H3ba | zenon_intro zenon_H3f3 ].
% 54.76/54.98 apply (zenon_L350_); trivial.
% 54.76/54.98 apply (zenon_or_s _ _ zenon_H3f3); [ zenon_intro zenon_Hf6 | zenon_intro zenon_Heb ].
% 54.76/54.98 apply (zenon_L514_); trivial.
% 54.76/54.98 apply (zenon_L518_); trivial.
% 54.76/54.98 (* end of lemma zenon_L574_ *)
% 54.76/54.98 assert (zenon_L575_ : (((op2 (e20) (e21)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e23) (e21)) = (e22))))) -> (~((op2 (e22) (e23)) = (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) (e22)) = (op2 (e21) (e22)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (((op2 (e21) (e20)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/((op2 (e21) (e23)) = (e23))))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> ((op2 (e20) (e20)) = (e23)) -> (~((op2 (e22) (e22)) = (e22))) -> (~((op2 (e22) (e22)) = (e21))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> ((op2 (e22) (e20)) = (e20)) -> (((op2 (e22) (e22)) = (e20))\/(((op2 (e22) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e22)) = (e23))))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> ((op2 (e21) (e23)) = (e22)) -> ((op2 (e21) (op2 (e21) (e23))) = (e23)) -> (~((op2 (e21) (e22)) = (op2 (e21) (e23)))) -> (((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e21)) = (e22))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> ((op2 (e20) (e21)) = (e21)) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (~((e22) = (e23))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> (((op2 (e22) (e20)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e22) (e23)) = (e23))))) -> ((e22) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> ((e20) = (op2 (e21) (e21))) -> ((e23) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> False).
% 54.76/54.98 do 0 intro. intros zenon_H3fd zenon_H281 zenon_H286 zenon_Hb0 zenon_Hf1 zenon_H437 zenon_H116 zenon_H45 zenon_H399 zenon_H47c zenon_Ha8 zenon_Hd7 zenon_H101 zenon_H37d zenon_H121 zenon_H100 zenon_H3b4 zenon_H9f zenon_H478 zenon_H395 zenon_H47a zenon_H3b1 zenon_H39d zenon_Hb9 zenon_H282 zenon_H3af zenon_Hec zenon_H11f zenon_H3f1 zenon_H3f zenon_H33 zenon_H3b zenon_H60.
% 54.76/54.98 apply (zenon_or_s _ _ zenon_H3fd); [ zenon_intro zenon_H285 | zenon_intro zenon_H3ff ].
% 54.76/54.98 apply (zenon_L572_); trivial.
% 54.76/54.98 apply (zenon_or_s _ _ zenon_H3ff); [ zenon_intro zenon_H401 | zenon_intro zenon_H400 ].
% 54.76/54.98 apply (zenon_or_s _ _ zenon_H399); [ zenon_intro zenon_H44 | zenon_intro zenon_H39a ].
% 54.76/54.98 apply (zenon_L10_); trivial.
% 54.76/54.98 apply (zenon_or_s _ _ zenon_H39a); [ zenon_intro zenon_H388 | zenon_intro zenon_H39b ].
% 54.76/54.98 apply (zenon_L573_); trivial.
% 54.76/54.98 apply (zenon_or_s _ _ zenon_H39b); [ zenon_intro zenon_H38e | zenon_intro zenon_He9 ].
% 54.76/54.98 apply (zenon_L449_); trivial.
% 54.76/54.98 apply (zenon_L512_); trivial.
% 54.76/54.98 apply (zenon_or_s _ _ zenon_H400); [ zenon_intro zenon_Hd3 | zenon_intro zenon_H5f ].
% 54.76/54.98 apply (zenon_L574_); trivial.
% 54.76/54.98 apply (zenon_L15_); trivial.
% 54.76/54.98 (* end of lemma zenon_L575_ *)
% 54.76/54.98 assert (zenon_L576_ : (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> ((op2 (e21) (e20)) = (e21)) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e21)) = (op2 (e21) (e22)))) -> (((op2 (e21) (e22)) = (e20))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e22)) = (e23))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> ((e10) = (op1 (e11) (e11))) -> ((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> ((op1 (e10) (e12)) = (e10)) -> ((op1 (e12) (e10)) = (e10)) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e11)) = (e11))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> ((op1 (e11) (op1 (e11) (e11))) = (e11)) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> ((op1 (e11) (op1 (e11) (e10))) = (e10)) -> (~((op1 (e12) (e12)) = (e11))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (~((op1 (e12) (e13)) = (e12))) -> (~((op1 (e12) (e12)) = (e12))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e12))\/((op1 (e11) (e10)) = (e13))))) -> ((h2 (e12)) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> ((h2 (e11)) = (e21)) -> (~((h2 (op1 (e11) (e12))) = (op2 (h2 (e11)) (h2 (e12))))) -> ((op1 (e11) (op1 (e11) (e12))) = (e12)) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (((op1 (e10) (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) (e11)) = (op1 (e11) (e11)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> ((op1 (e11) (op1 (e11) (e13))) = (e13)) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((e12) = (e13))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> ((e12) = (op1 (op1 (op1 (e11) (e11)) (op1 (e11) (e11))) (op1 (e11) (e11)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (((op2 (e20) (e21)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e23) (e21)) = (e22))))) -> (~((op2 (e22) (e23)) = (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) (e22)) = (op2 (e21) (e22)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (((op2 (e21) (e20)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/((op2 (e21) (e23)) = (e23))))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> ((op2 (e20) (e20)) = (e23)) -> (~((op2 (e22) (e22)) = (e22))) -> (~((op2 (e22) (e22)) = (e21))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> ((op2 (e22) (e20)) = (e20)) -> (((op2 (e22) (e22)) = (e20))\/(((op2 (e22) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e22)) = (e23))))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> ((op2 (e21) (op2 (e21) (e23))) = (e23)) -> (~((op2 (e21) (e22)) = (op2 (e21) (e23)))) -> (((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e21)) = (e22))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> ((op2 (e20) (e21)) = (e21)) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (~((e22) = (e23))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> (((op2 (e22) (e20)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e22) (e23)) = (e23))))) -> ((e22) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> ((e20) = (op2 (e21) (e21))) -> ((e23) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> False).
% 54.76/54.98 do 0 intro. intros zenon_H4ae zenon_H3e zenon_H4e zenon_Hc5 zenon_H7a zenon_H40f zenon_H25 zenon_H13 zenon_H15 zenon_H1e zenon_H17 zenon_H474 zenon_H18f zenon_H293 zenon_H1de zenon_H473 zenon_H1fa zenon_H1ed zenon_H1be zenon_H1b1 zenon_H2a5 zenon_H2a6 zenon_H1da zenon_H2a3 zenon_H292 zenon_H23f zenon_H1d8 zenon_H2b1 zenon_H209 zenon_H27d zenon_H1d1 zenon_H180 zenon_H1f7 zenon_H1e8 zenon_H15a zenon_H154 zenon_H1a9 zenon_H14b zenon_H15f zenon_H44f zenon_H270 zenon_H4a2 zenon_H375 zenon_H30e zenon_H32e zenon_H2c0 zenon_H21a zenon_H23b zenon_H358 zenon_H32b zenon_H206 zenon_H19d zenon_H360 zenon_H2f8 zenon_H1fd zenon_H301 zenon_H316 zenon_H186 zenon_H204 zenon_H179 zenon_H2c2 zenon_H29e zenon_H18a zenon_H236 zenon_H2e7 zenon_H2ad zenon_H1cc zenon_H2b9 zenon_H313 zenon_H155 zenon_H172 zenon_H1a0 zenon_H3fd zenon_H281 zenon_H286 zenon_Hb0 zenon_Hf1 zenon_H437 zenon_H116 zenon_H45 zenon_H399 zenon_H47c zenon_Ha8 zenon_Hd7 zenon_H101 zenon_H37d zenon_H121 zenon_H100 zenon_H3b4 zenon_H9f zenon_H395 zenon_H47a zenon_H3b1 zenon_H39d zenon_Hb9 zenon_H282 zenon_H3af zenon_Hec zenon_H11f zenon_H3f1 zenon_H3f zenon_H33 zenon_H3b zenon_H60.
% 54.76/54.98 apply (zenon_or_s _ _ zenon_H4ae); [ zenon_intro zenon_H40 | zenon_intro zenon_H4af ].
% 54.76/54.98 apply (zenon_L8_); trivial.
% 54.76/54.98 apply (zenon_or_s _ _ zenon_H4af); [ zenon_intro zenon_H401 | zenon_intro zenon_H4b0 ].
% 54.76/54.98 apply (zenon_or_s _ _ zenon_H40f); [ zenon_intro zenon_H79 | zenon_intro zenon_H410 ].
% 54.76/54.98 apply (zenon_L20_); trivial.
% 54.76/54.98 apply (zenon_or_s _ _ zenon_H410); [ zenon_intro zenon_Hc4 | zenon_intro zenon_H411 ].
% 54.76/54.98 apply (zenon_L33_); trivial.
% 54.76/54.98 apply (zenon_or_s _ _ zenon_H411); [ zenon_intro zenon_Hd4 | zenon_intro zenon_H38e ].
% 54.76/54.98 apply (zenon_L571_); trivial.
% 54.76/54.98 apply (zenon_L449_); trivial.
% 54.76/54.98 apply (zenon_or_s _ _ zenon_H4b0); [ zenon_intro zenon_Hd4 | zenon_intro zenon_H478 ].
% 54.76/54.98 apply (zenon_L571_); trivial.
% 54.76/54.98 apply (zenon_L575_); trivial.
% 54.76/54.98 (* end of lemma zenon_L576_ *)
% 54.76/54.98 assert (zenon_L577_ : (((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e21))\/((op2 (e23) (e20)) = (e21))))) -> (~((op2 (e20) (e20)) = (e21))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> ((e23) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e22)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (((op2 (e22) (e20)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e22) (e23)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> (~((e22) = (e23))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> (((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e21)) = (e22))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e21) (e22)) = (op2 (e21) (e23)))) -> ((op2 (e21) (op2 (e21) (e23))) = (e23)) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (((op2 (e22) (e22)) = (e20))\/(((op2 (e22) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e22)) = (e23))))) -> ((op2 (e22) (e20)) = (e20)) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> (~((op2 (e22) (e22)) = (e21))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (((op2 (e21) (e20)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/((op2 (e21) (e23)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (((op2 (e20) (e21)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e23) (e21)) = (e22))))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> ((e12) = (op1 (op1 (op1 (e11) (e11)) (op1 (e11) (e11))) (op1 (e11) (e11)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((e12) = (e13))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> ((op1 (e11) (op1 (e11) (e13))) = (e13)) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e11)) = (e12))\/((op1 (e10) (e11)) = (e13))))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> ((op1 (e11) (op1 (e11) (e12))) = (e12)) -> (~((h2 (op1 (e11) (e12))) = (op2 (h2 (e11)) (h2 (e12))))) -> ((h2 (e11)) = (e21)) -> ((h2 (e12)) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e12))\/((op1 (e11) (e10)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e12)) = (e12))) -> (~((op1 (e12) (e13)) = (e12))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e12)) = (e11))) -> ((op1 (e11) (op1 (e11) (e10))) = (e10)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> ((op1 (e11) (op1 (e11) (e11))) = (e11)) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e11) (e11)) = (e11))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> ((op1 (e12) (e10)) = (e10)) -> ((op1 (e10) (e12)) = (e10)) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> ((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) -> ((e10) = (op1 (e11) (e11))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((op2 (e21) (e22)) = (e20))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e22)) = (e23))))) -> (~((op2 (e21) (e21)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> (~((op2 (e21) (e21)) = (e21))) -> (~((e21) = (e22))) -> (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> ((e22) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> (((op2 (e20) (e21)) = (e20))\/(((op2 (e20) (e21)) = (e21))\/(((op2 (e20) (e21)) = (e22))\/((op2 (e20) (e21)) = (e23))))) -> (~((op2 (e22) (e22)) = (e22))) -> (~((op2 (e22) (e23)) = (e22))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e20) (e21)) = (e23))\/(((op2 (e20) (e22)) = (e23))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> ((op2 (e21) (op2 (e21) (e21))) = (e21)) -> ((e20) = (op2 (e21) (e21))) -> False).
% 54.76/54.98 do 0 intro. intros zenon_H49e zenon_H49d zenon_H9f zenon_H3b zenon_H98 zenon_H93 zenon_H28c zenon_H60 zenon_H3f1 zenon_H11f zenon_Hec zenon_H3af zenon_H39d zenon_H3b1 zenon_H47a zenon_H395 zenon_H3b4 zenon_H100 zenon_H121 zenon_H37d zenon_H101 zenon_H47c zenon_H399 zenon_H45 zenon_H116 zenon_H437 zenon_H3fd zenon_H1a0 zenon_H172 zenon_H155 zenon_H313 zenon_H2b9 zenon_H1cc zenon_H2ad zenon_H2e7 zenon_H236 zenon_H18a zenon_H29e zenon_H2c2 zenon_H179 zenon_H204 zenon_H186 zenon_H316 zenon_H301 zenon_H1fd zenon_H2f8 zenon_H360 zenon_H19d zenon_H206 zenon_H32b zenon_H358 zenon_H23b zenon_H21a zenon_H2c0 zenon_H32e zenon_H30e zenon_H375 zenon_H4a2 zenon_H270 zenon_H44f zenon_H15f zenon_H14b zenon_H1a9 zenon_H154 zenon_H15a zenon_H1e8 zenon_H1f7 zenon_H180 zenon_H1d1 zenon_H27d zenon_H209 zenon_H2b1 zenon_H1d8 zenon_H23f zenon_H292 zenon_H2a3 zenon_H1da zenon_H2a6 zenon_H2a5 zenon_H1b1 zenon_H1be zenon_H1ed zenon_H1fa zenon_H473 zenon_H1de zenon_H293 zenon_H18f zenon_H474 zenon_H17 zenon_H1e zenon_H15 zenon_H13 zenon_H25 zenon_H40f zenon_H7a zenon_Hc5 zenon_H4ae zenon_H28d zenon_H27e zenon_Hf1 zenon_H3f zenon_Hb0 zenon_H286 zenon_H282 zenon_H8d zenon_H289 zenon_Hd7 zenon_H281 zenon_Ha5 zenon_H498 zenon_H3e zenon_H499 zenon_H33.
% 54.76/54.98 apply (zenon_or_s _ _ zenon_H49e); [ zenon_intro zenon_H4a0 | zenon_intro zenon_H49f ].
% 54.76/54.98 exact (zenon_H49d zenon_H4a0).
% 54.76/54.98 apply (zenon_or_s _ _ zenon_H49f); [ zenon_intro zenon_H4e | zenon_intro zenon_H4a1 ].
% 54.76/54.98 apply (zenon_or_s _ _ zenon_Ha5); [ zenon_intro zenon_Ha8 | zenon_intro zenon_Ha7 ].
% 54.76/54.98 apply (zenon_or_s _ _ zenon_H28c); [ zenon_intro zenon_Hb9 | zenon_intro zenon_H28e ].
% 54.76/54.98 apply (zenon_L576_); trivial.
% 54.76/54.98 apply (zenon_or_s _ _ zenon_H28e); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H28f ].
% 54.76/54.98 exact (zenon_H28d zenon_Hc3).
% 54.76/54.98 apply (zenon_or_s _ _ zenon_H28f); [ zenon_intro zenon_H27f | zenon_intro zenon_H283 ].
% 54.76/54.98 apply (zenon_L134_); trivial.
% 54.76/54.98 apply (zenon_L138_); trivial.
% 54.76/54.98 apply (zenon_or_s _ _ zenon_Ha7); [ zenon_intro zenon_H92 | zenon_intro zenon_Ha9 ].
% 54.76/54.98 apply (zenon_L25_); trivial.
% 54.76/54.98 apply (zenon_or_s _ _ zenon_Ha9); [ zenon_intro zenon_H97 | zenon_intro zenon_H9e ].
% 54.76/54.98 apply (zenon_L26_); trivial.
% 54.76/54.98 apply (zenon_L27_); trivial.
% 54.76/54.98 apply (zenon_or_s _ _ zenon_H4a1); [ zenon_intro zenon_H49a | zenon_intro zenon_H42a ].
% 54.76/54.98 apply (zenon_L555_); trivial.
% 54.76/54.98 apply (zenon_L556_); trivial.
% 54.76/54.98 (* end of lemma zenon_L577_ *)
% 54.76/54.98 assert (zenon_L578_ : ((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13)))) -> (~((op2 (e20) (e20)) = (e21))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e20) (e21)) = (e23))\/(((op2 (e20) (e22)) = (e23))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e22)))) -> (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> (~((op2 (e22) (e23)) = (e22))) -> (~((op2 (e22) (e22)) = (e22))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> (((op2 (e21) (e20)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/((op2 (e21) (e23)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (~((op2 (e21) (e22)) = (op2 (e21) (e23)))) -> ((op2 (e21) (op2 (e21) (e23))) = (e23)) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e21)) = (e22))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (((op2 (e22) (e20)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e22) (e23)) = (e23))))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> ((op2 (e22) (e20)) = (e20)) -> (~((op2 (e22) (e22)) = (e21))) -> (((op2 (e22) (e22)) = (e20))\/(((op2 (e22) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e22)) = (e23))))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (~((e22) = (e23))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> (((op2 (e20) (e21)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e23) (e21)) = (e22))))) -> (~((op2 (e21) (e21)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> ((op1 (e11) (op1 (e11) (e10))) = (e10)) -> ((op1 (e12) (e10)) = (e10)) -> ((op1 (e10) (e12)) = (e10)) -> (~((op1 (e12) (e12)) = (e11))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((e12) = (e13))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> ((op1 (e11) (op1 (e11) (e13))) = (e13)) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e12) (e12)) = (e12))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e11)) = (e12))\/((op1 (e10) (e11)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e12))\/((op1 (e11) (e10)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (~((h2 (op1 (e11) (e12))) = (op2 (h2 (e11)) (h2 (e12))))) -> ((h2 (e12)) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> ((h2 (e11)) = (e21)) -> ((op1 (e11) (op1 (e11) (e12))) = (e12)) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> ((e10) = (op1 (e11) (e11))) -> ((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) -> ((e12) = (op1 (op1 (op1 (e11) (e11)) (op1 (e11) (e11))) (op1 (e11) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e11) (e11)) = (e11))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> ((op1 (e11) (op1 (e11) (e11))) = (e11)) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (((op2 (e21) (e22)) = (e20))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e22)) = (e23))))) -> ((e20) = (op2 (e21) (e21))) -> ((e23) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((e22) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e21) (e21)) = (e21))) -> (~((e21) = (e22))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> (((op2 (e20) (e21)) = (e20))\/(((op2 (e20) (e21)) = (e21))\/(((op2 (e20) (e21)) = (e22))\/((op2 (e20) (e21)) = (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) (op2 (e21) (e21))) = (e21)) -> (((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e21))\/((op2 (e23) (e20)) = (e21))))) -> False).
% 54.76/54.98 do 0 intro. intros zenon_H22c zenon_H49d zenon_Ha5 zenon_H98 zenon_H4ae zenon_Hf1 zenon_H281 zenon_Hd7 zenon_H286 zenon_Hb0 zenon_H399 zenon_H9f zenon_H47a zenon_H395 zenon_H116 zenon_H3b1 zenon_H3af zenon_H60 zenon_H282 zenon_H39d zenon_H3b4 zenon_H45 zenon_H3f1 zenon_H37d zenon_H121 zenon_H101 zenon_H100 zenon_H47c zenon_Hec zenon_H11f zenon_H3fd zenon_H7a zenon_Hc5 zenon_H1a0 zenon_H1e zenon_H1fa zenon_H1de zenon_H292 zenon_H293 zenon_H18f zenon_H23f zenon_H1da zenon_H15a zenon_H2ad zenon_H236 zenon_H32b zenon_H19d zenon_H316 zenon_H360 zenon_H1cc zenon_H18a zenon_H1fd zenon_H172 zenon_H29e zenon_H2f8 zenon_H301 zenon_H23b zenon_H1d1 zenon_H204 zenon_H179 zenon_H180 zenon_H186 zenon_H17 zenon_H206 zenon_H2b9 zenon_H30e zenon_H25 zenon_H2e7 zenon_H21a zenon_H358 zenon_H32e zenon_H1e8 zenon_H15f zenon_H1a9 zenon_H14b zenon_H4a2 zenon_H44f zenon_H270 zenon_H375 zenon_H1f7 zenon_H2c0 zenon_H2c2 zenon_H13 zenon_H15 zenon_H155 zenon_H154 zenon_H473 zenon_H209 zenon_H1be zenon_H1d8 zenon_H2a3 zenon_H2a5 zenon_H2a6 zenon_H2b1 zenon_H1b1 zenon_H1ed zenon_H313 zenon_H474 zenon_H437 zenon_H40f zenon_H33 zenon_H3b zenon_H3f zenon_H3e zenon_H28d zenon_H27e zenon_H8d zenon_H93 zenon_H289 zenon_H28c zenon_H498 zenon_H499 zenon_H49e.
% 54.76/54.98 apply (zenon_or_s _ _ zenon_H22c); [ zenon_intro zenon_H27d | zenon_intro zenon_H29d ].
% 54.76/54.98 apply (zenon_L577_); trivial.
% 54.76/54.98 apply (zenon_L144_); trivial.
% 54.76/54.98 (* end of lemma zenon_L578_ *)
% 54.76/54.98 assert (zenon_L579_ : ((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12)))) -> (((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e21))\/((op2 (e23) (e20)) = (e21))))) -> ((op2 (e21) (op2 (e21) (e21))) = (e21)) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> (((op2 (e20) (e21)) = (e20))\/(((op2 (e20) (e21)) = (e21))\/(((op2 (e20) (e21)) = (e22))\/((op2 (e20) (e21)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> (~((e21) = (e22))) -> (~((op2 (e21) (e21)) = (e21))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> ((e22) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> ((e23) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((e20) = (op2 (e21) (e21))) -> (((op2 (e21) (e22)) = (e20))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e22)) = (e23))))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> ((op1 (e11) (op1 (e11) (e11))) = (e11)) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (~((op1 (e11) (e11)) = (e11))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> ((e12) = (op1 (op1 (op1 (e11) (e11)) (op1 (e11) (e11))) (op1 (e11) (e11)))) -> ((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) -> ((e10) = (op1 (e11) (e11))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> ((op1 (e11) (op1 (e11) (e12))) = (e12)) -> ((h2 (e11)) = (e21)) -> ((h2 (e12)) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> (~((h2 (op1 (e11) (e12))) = (op2 (h2 (e11)) (h2 (e12))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e12))\/((op1 (e11) (e10)) = (e13))))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e11)) = (e12))\/((op1 (e10) (e11)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> ((op1 (e11) (op1 (e11) (e13))) = (e13)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((e12) = (e13))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (~((op1 (e12) (e12)) = (e11))) -> ((op1 (e10) (e12)) = (e10)) -> ((op1 (e12) (e10)) = (e10)) -> ((op1 (e11) (op1 (e11) (e10))) = (e10)) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e21)) = (op2 (e21) (e22)))) -> (((op2 (e20) (e21)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e23) (e21)) = (e22))))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> (~((e22) = (e23))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (((op2 (e22) (e22)) = (e20))\/(((op2 (e22) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e22)) = (e23))))) -> (~((op2 (e22) (e22)) = (e21))) -> ((op2 (e22) (e20)) = (e20)) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> (((op2 (e22) (e20)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e22) (e23)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e21)) = (e22))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> ((op2 (e21) (op2 (e21) (e23))) = (e23)) -> (~((op2 (e21) (e22)) = (op2 (e21) (e23)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (((op2 (e21) (e20)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/((op2 (e21) (e23)) = (e23))))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (~((op2 (e22) (e22)) = (e22))) -> (~((op2 (e22) (e23)) = (e22))) -> (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e22)))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e20) (e21)) = (e23))\/(((op2 (e20) (e22)) = (e23))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e20)) = (e21))) -> ((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13)))) -> False).
% 54.76/54.98 do 0 intro. intros zenon_H224 zenon_H49e zenon_H499 zenon_H498 zenon_H28c zenon_H289 zenon_H93 zenon_H8d zenon_H27e zenon_H28d zenon_H3e zenon_H3f zenon_H3b zenon_H33 zenon_H40f zenon_H437 zenon_H474 zenon_H313 zenon_H1ed zenon_H1b1 zenon_H2b1 zenon_H2a6 zenon_H2a5 zenon_H2a3 zenon_H1d8 zenon_H1be zenon_H209 zenon_H473 zenon_H154 zenon_H155 zenon_H15 zenon_H13 zenon_H2c2 zenon_H2c0 zenon_H1f7 zenon_H375 zenon_H270 zenon_H44f zenon_H4a2 zenon_H14b zenon_H1a9 zenon_H15f zenon_H1e8 zenon_H32e zenon_H358 zenon_H21a zenon_H2e7 zenon_H25 zenon_H30e zenon_H2b9 zenon_H206 zenon_H17 zenon_H186 zenon_H180 zenon_H179 zenon_H204 zenon_H23b zenon_H301 zenon_H2f8 zenon_H29e zenon_H172 zenon_H1fd zenon_H18a zenon_H1cc zenon_H360 zenon_H316 zenon_H19d zenon_H32b zenon_H236 zenon_H2ad zenon_H15a zenon_H1da zenon_H23f zenon_H18f zenon_H293 zenon_H292 zenon_H1de zenon_H1fa zenon_H1e zenon_H1a0 zenon_Hc5 zenon_H7a zenon_H3fd zenon_H11f zenon_Hec zenon_H47c zenon_H100 zenon_H101 zenon_H121 zenon_H37d zenon_H3f1 zenon_H45 zenon_H3b4 zenon_H39d zenon_H282 zenon_H60 zenon_H3af zenon_H3b1 zenon_H116 zenon_H395 zenon_H47a zenon_H9f zenon_H399 zenon_Hb0 zenon_H286 zenon_Hd7 zenon_H281 zenon_Hf1 zenon_H4ae zenon_H98 zenon_Ha5 zenon_H49d zenon_H22c.
% 54.76/54.99 apply (zenon_or_s _ _ zenon_H224); [ zenon_intro zenon_H1d1 | zenon_intro zenon_H1d1 ].
% 54.76/54.99 apply (zenon_L578_); trivial.
% 54.76/54.99 apply (zenon_L578_); trivial.
% 54.76/54.99 (* end of lemma zenon_L579_ *)
% 54.76/54.99 assert (zenon_L580_ : (((op1 (e10) (e12)) = (e10))/\(((op1 (e12) (e10)) = (e10))/\(((~((op1 (e12) (e10)) = (e12)))\/(~((op1 (e12) (e12)) = (e10))))/\(((~((op1 (e12) (e11)) = (e12)))\/(~((op1 (e12) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13))))))))) -> (((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e21))\/((op2 (e23) (e20)) = (e21))))) -> ((op2 (e21) (op2 (e21) (e21))) = (e21)) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> (((op2 (e20) (e21)) = (e20))\/(((op2 (e20) (e21)) = (e21))\/(((op2 (e20) (e21)) = (e22))\/((op2 (e20) (e21)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> (~((e21) = (e22))) -> (~((op2 (e21) (e21)) = (e21))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> ((e22) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> ((e23) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((e20) = (op2 (e21) (e21))) -> (((op2 (e21) (e22)) = (e20))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e22)) = (e23))))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> ((op1 (e11) (op1 (e11) (e11))) = (e11)) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (~((op1 (e11) (e11)) = (e11))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> ((e12) = (op1 (op1 (op1 (e11) (e11)) (op1 (e11) (e11))) (op1 (e11) (e11)))) -> ((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) -> ((e10) = (op1 (e11) (e11))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> ((op1 (e11) (op1 (e11) (e12))) = (e12)) -> ((h2 (e11)) = (e21)) -> ((h2 (e12)) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> (~((h2 (op1 (e11) (e12))) = (op2 (h2 (e11)) (h2 (e12))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e12))\/((op1 (e11) (e10)) = (e13))))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e11)) = (e12))\/((op1 (e10) (e11)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> ((op1 (e11) (op1 (e11) (e13))) = (e13)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((e12) = (e13))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (~((op1 (e12) (e12)) = (e11))) -> ((op1 (e11) (op1 (e11) (e10))) = (e10)) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e21)) = (op2 (e21) (e22)))) -> (((op2 (e20) (e21)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e23) (e21)) = (e22))))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> (~((e22) = (e23))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (((op2 (e22) (e22)) = (e20))\/(((op2 (e22) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e22)) = (e23))))) -> (~((op2 (e22) (e22)) = (e21))) -> ((op2 (e22) (e20)) = (e20)) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> (((op2 (e22) (e20)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e22) (e23)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e21)) = (e22))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> ((op2 (e21) (op2 (e21) (e23))) = (e23)) -> (~((op2 (e21) (e22)) = (op2 (e21) (e23)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (((op2 (e21) (e20)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/((op2 (e21) (e23)) = (e23))))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (~((op2 (e22) (e22)) = (e22))) -> (~((op2 (e22) (e23)) = (e22))) -> (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e22)))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e20) (e21)) = (e23))\/(((op2 (e20) (e22)) = (e23))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e20)) = (e21))) -> False).
% 54.76/54.99 do 0 intro. intros zenon_H197 zenon_H49e zenon_H499 zenon_H498 zenon_H28c zenon_H289 zenon_H93 zenon_H8d zenon_H27e zenon_H28d zenon_H3e zenon_H3f zenon_H3b zenon_H33 zenon_H40f zenon_H437 zenon_H474 zenon_H313 zenon_H1ed zenon_H1b1 zenon_H2b1 zenon_H2a6 zenon_H2a5 zenon_H2a3 zenon_H1d8 zenon_H1be zenon_H209 zenon_H473 zenon_H154 zenon_H155 zenon_H15 zenon_H13 zenon_H2c2 zenon_H2c0 zenon_H1f7 zenon_H375 zenon_H270 zenon_H44f zenon_H4a2 zenon_H14b zenon_H1a9 zenon_H15f zenon_H1e8 zenon_H32e zenon_H358 zenon_H21a zenon_H2e7 zenon_H25 zenon_H30e zenon_H2b9 zenon_H206 zenon_H17 zenon_H186 zenon_H180 zenon_H179 zenon_H204 zenon_H23b zenon_H301 zenon_H2f8 zenon_H29e zenon_H172 zenon_H1fd zenon_H18a zenon_H1cc zenon_H360 zenon_H316 zenon_H19d zenon_H32b zenon_H236 zenon_H2ad zenon_H15a zenon_H1da zenon_H23f zenon_H292 zenon_H1de zenon_H1fa zenon_H1e zenon_H1a0 zenon_Hc5 zenon_H7a zenon_H3fd zenon_H11f zenon_Hec zenon_H47c zenon_H100 zenon_H101 zenon_H121 zenon_H37d zenon_H3f1 zenon_H45 zenon_H3b4 zenon_H39d zenon_H282 zenon_H60 zenon_H3af zenon_H3b1 zenon_H116 zenon_H395 zenon_H47a zenon_H9f zenon_H399 zenon_Hb0 zenon_H286 zenon_Hd7 zenon_H281 zenon_Hf1 zenon_H4ae zenon_H98 zenon_Ha5 zenon_H49d.
% 54.76/54.99 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_H18f. zenon_intro zenon_H198.
% 54.76/54.99 apply (zenon_and_s _ _ zenon_H198). zenon_intro zenon_H293. zenon_intro zenon_H227.
% 54.76/54.99 apply (zenon_and_s _ _ zenon_H227). zenon_intro zenon_H229. zenon_intro zenon_H228.
% 54.76/54.99 apply (zenon_and_s _ _ zenon_H228). zenon_intro zenon_H22b. zenon_intro zenon_H22a.
% 54.76/54.99 apply (zenon_and_s _ _ zenon_H22a). zenon_intro zenon_H224. zenon_intro zenon_H22c.
% 54.76/54.99 apply (zenon_L579_); trivial.
% 54.76/54.99 (* end of lemma zenon_L580_ *)
% 54.76/54.99 assert (zenon_L581_ : (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (e10))) -> ((op1 (e10) (e11)) = (e11)) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> ((op1 (e11) (op1 (e11) (e12))) = (e12)) -> (~((h2 (op1 (e11) (e12))) = (op2 (h2 (e11)) (h2 (e12))))) -> ((op2 (e21) (e22)) = (e22)) -> ((h2 (e11)) = (e21)) -> ((h2 (e12)) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> ((e22) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e12))\/((op1 (e11) (e10)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> ((e12) = (op1 (op1 (op1 (e11) (e11)) (op1 (e11) (e11))) (op1 (e11) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> ((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) -> ((e10) = (op1 (e11) (e11))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> False).
% 54.76/54.99 do 0 intro. intros zenon_H328 zenon_H25f zenon_H1fe zenon_H485 zenon_H30e zenon_H375 zenon_H4a2 zenon_Hd4 zenon_H270 zenon_H44f zenon_H3f zenon_H15f zenon_H14b zenon_H1a9 zenon_H155 zenon_H154 zenon_H15a zenon_H1e8 zenon_H1f7 zenon_H15 zenon_H13 zenon_H25.
% 54.76/54.99 apply (zenon_or_s _ _ zenon_H328); [ zenon_intro zenon_H19b | zenon_intro zenon_H329 ].
% 54.76/54.99 exact (zenon_H25f zenon_H19b).
% 54.76/54.99 apply (zenon_or_s _ _ zenon_H329); [ zenon_intro zenon_H2ef | zenon_intro zenon_H32a ].
% 54.76/54.99 apply (zenon_L524_); trivial.
% 54.76/54.99 apply (zenon_or_s _ _ zenon_H32a); [ zenon_intro zenon_H31b | zenon_intro zenon_H24 ].
% 54.76/54.99 apply (zenon_L566_); trivial.
% 54.76/54.99 apply (zenon_L4_); trivial.
% 54.76/54.99 (* end of lemma zenon_L581_ *)
% 54.76/54.99 assert (zenon_L582_ : (((op2 (e22) (e20)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e22) (e23)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> (~((e22) = (e23))) -> ((op2 (e22) (e21)) = (e22)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> ((e22) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> (~((op2 (e22) (e23)) = (e22))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> ((op2 (e21) (op2 (e21) (e23))) = (e23)) -> (~((op2 (e21) (e22)) = (op2 (e21) (e23)))) -> (((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e21)) = (e22))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> ((op2 (e20) (e21)) = (e21)) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> ((op2 (e21) (op2 (e21) (e22))) = (e22)) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (e10))) -> ((op1 (e10) (e11)) = (e11)) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> ((op1 (e11) (op1 (e11) (e12))) = (e12)) -> (~((h2 (op1 (e11) (e12))) = (op2 (h2 (e11)) (h2 (e12))))) -> ((h2 (e11)) = (e21)) -> ((h2 (e12)) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e12))\/((op1 (e11) (e10)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> ((e12) = (op1 (op1 (op1 (e11) (e11)) (op1 (e11) (e11))) (op1 (e11) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> ((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) -> ((e10) = (op1 (e11) (e11))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> ((op2 (e21) (e20)) = (e21)) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e21)) = (op2 (e21) (e22)))) -> (((op2 (e21) (e22)) = (e20))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e22)) = (e23))))) -> (((op2 (e22) (e22)) = (e20))\/(((op2 (e22) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e22)) = (e23))))) -> ((op2 (e22) (e20)) = (e20)) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> (~((op2 (e22) (e22)) = (e21))) -> (~((op2 (e22) (e22)) = (e22))) -> ((e23) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((op2 (e20) (e20)) = (e23)) -> ((e20) = (op2 (e21) (e21))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> False).
% 54.76/54.99 do 0 intro. intros zenon_H3f1 zenon_H11f zenon_Hec zenon_Hd3 zenon_H6e zenon_H3f zenon_H281 zenon_H3b4 zenon_H9f zenon_H395 zenon_H47a zenon_H3b1 zenon_H39d zenon_Hb9 zenon_H282 zenon_H60 zenon_H3af zenon_H481 zenon_H3a8 zenon_H47e zenon_H328 zenon_H25f zenon_H1fe zenon_H485 zenon_H30e zenon_H375 zenon_H4a2 zenon_H270 zenon_H44f zenon_H15f zenon_H14b zenon_H1a9 zenon_H155 zenon_H154 zenon_H15a zenon_H1e8 zenon_H1f7 zenon_H15 zenon_H13 zenon_H25 zenon_H4e zenon_Hc5 zenon_H7a zenon_H40f zenon_H100 zenon_H121 zenon_H37d zenon_H101 zenon_Hd7 zenon_H3b zenon_Ha8 zenon_H33 zenon_H47c.
% 54.76/54.99 apply (zenon_or_s _ _ zenon_H3f1); [ zenon_intro zenon_H3df | zenon_intro zenon_H3f2 ].
% 54.76/54.99 apply (zenon_L364_); trivial.
% 54.76/54.99 apply (zenon_or_s _ _ zenon_H3f2); [ zenon_intro zenon_H3ba | zenon_intro zenon_H3f3 ].
% 54.76/54.99 apply (zenon_L350_); trivial.
% 54.76/54.99 apply (zenon_or_s _ _ zenon_H3f3); [ zenon_intro zenon_Hf6 | zenon_intro zenon_Heb ].
% 54.76/54.99 apply (zenon_or_s _ _ zenon_H40f); [ zenon_intro zenon_H79 | zenon_intro zenon_H410 ].
% 54.76/54.99 apply (zenon_L20_); trivial.
% 54.76/54.99 apply (zenon_or_s _ _ zenon_H410); [ zenon_intro zenon_Hc4 | zenon_intro zenon_H411 ].
% 54.76/54.99 apply (zenon_L33_); trivial.
% 54.76/54.99 apply (zenon_or_s _ _ zenon_H411); [ zenon_intro zenon_Hd4 | zenon_intro zenon_H38e ].
% 54.76/54.99 apply (zenon_L581_); trivial.
% 54.76/54.99 apply (zenon_L517_); trivial.
% 54.76/54.99 apply (zenon_L518_); trivial.
% 54.76/54.99 (* end of lemma zenon_L582_ *)
% 54.76/54.99 assert (zenon_L583_ : (((op1 (e11) (e10)) = (e11))/\(((op1 (e10) (e11)) = (e11))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11))))/\(((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12))))/\((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13))))))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op2 (e20) (e20)) = (e21))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e20) (e21)) = (e23))\/(((op2 (e20) (e22)) = (e23))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e22)))) -> (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> (~((e22) = (e23))) -> (((op2 (e21) (e22)) = (e20))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e22)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> ((op2 (e21) (op2 (e21) (e22))) = (e22)) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e21)) = (e22))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> ((op2 (e21) (op2 (e21) (e23))) = (e23)) -> (~((op2 (e21) (e22)) = (op2 (e21) (e23)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (~((op2 (e22) (e23)) = (e22))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> ((op1 (e11) (op1 (e11) (e12))) = (e12)) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> ((h2 (e11)) = (e21)) -> ((h2 (e12)) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> (~((h2 (op1 (e11) (e12))) = (op2 (h2 (e11)) (h2 (e12))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> ((e12) = (op1 (op1 (op1 (e11) (e11)) (op1 (e11) (e11))) (op1 (e11) (e11)))) -> ((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e12))\/((op1 (e11) (e10)) = (e13))))) -> ((e10) = (op1 (e11) (e11))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e21)) = (op2 (e21) (e22)))) -> (((op2 (e22) (e22)) = (e20))\/(((op2 (e22) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e22)) = (e23))))) -> (~((op2 (e22) (e22)) = (e22))) -> (~((op2 (e22) (e22)) = (e21))) -> ((op2 (e22) (e20)) = (e20)) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> (((op2 (e22) (e20)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e22) (e23)) = (e23))))) -> ((e20) = (op2 (e21) (e21))) -> ((e23) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((e22) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e21) (e21)) = (e21))) -> (~((e21) = (e22))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> (((op2 (e20) (e21)) = (e20))\/(((op2 (e20) (e21)) = (e21))\/(((op2 (e20) (e21)) = (e22))\/((op2 (e20) (e21)) = (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) (op2 (e21) (e21))) = (e21)) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> (((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e21))\/((op2 (e23) (e20)) = (e21))))) -> False).
% 54.76/54.99 do 0 intro. intros zenon_H259 zenon_H17 zenon_H1e zenon_H1a0 zenon_H49d zenon_Ha5 zenon_H98 zenon_Hf1 zenon_H11f zenon_Hec zenon_H40f zenon_H3a8 zenon_H481 zenon_H3b4 zenon_H39d zenon_H282 zenon_H60 zenon_H3af zenon_H3b1 zenon_H47c zenon_H395 zenon_H47a zenon_H9f zenon_H281 zenon_H6e zenon_H47e zenon_H485 zenon_H1f7 zenon_H375 zenon_H30e zenon_H270 zenon_H44f zenon_H4a2 zenon_H14b zenon_H1a9 zenon_H154 zenon_H155 zenon_H15 zenon_H15a zenon_H15f zenon_H13 zenon_H1e8 zenon_H25 zenon_H328 zenon_Hc5 zenon_H7a zenon_H100 zenon_Hd7 zenon_H101 zenon_H121 zenon_H37d zenon_H3f1 zenon_H33 zenon_H3b zenon_H3f zenon_Hb0 zenon_H28d zenon_H27e zenon_H8d zenon_H286 zenon_H93 zenon_H289 zenon_H28c zenon_H498 zenon_H499 zenon_H3e zenon_H49e.
% 54.76/54.99 apply (zenon_and_s _ _ zenon_H259). zenon_intro zenon_H163. zenon_intro zenon_H25a.
% 54.76/54.99 apply (zenon_and_s _ _ zenon_H25a). zenon_intro zenon_H1fe. zenon_intro zenon_H149.
% 54.76/54.99 apply (zenon_and_s _ _ zenon_H149). zenon_intro zenon_H144. zenon_intro zenon_H14a.
% 54.76/54.99 apply (zenon_and_s _ _ zenon_H14a). zenon_intro zenon_H25c. zenon_intro zenon_H25b.
% 54.76/54.99 apply (zenon_and_s _ _ zenon_H25b). zenon_intro zenon_H25e. zenon_intro zenon_H25d.
% 54.76/54.99 apply (zenon_or_s _ _ zenon_H25d); [ zenon_intro zenon_H25f | zenon_intro zenon_H1a1 ].
% 54.76/54.99 apply (zenon_or_s _ _ zenon_H49e); [ zenon_intro zenon_H4a0 | zenon_intro zenon_H49f ].
% 54.76/54.99 exact (zenon_H49d zenon_H4a0).
% 54.76/54.99 apply (zenon_or_s _ _ zenon_H49f); [ zenon_intro zenon_H4e | zenon_intro zenon_H4a1 ].
% 54.76/54.99 apply (zenon_or_s _ _ zenon_Ha5); [ zenon_intro zenon_Ha8 | zenon_intro zenon_Ha7 ].
% 54.76/54.99 apply (zenon_or_s _ _ zenon_H28c); [ zenon_intro zenon_Hb9 | zenon_intro zenon_H28e ].
% 54.76/54.99 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_Hb1 | zenon_intro zenon_Hf3 ].
% 54.76/54.99 apply (zenon_L30_); trivial.
% 54.76/54.99 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_Hd3 | zenon_intro zenon_Hf4 ].
% 54.76/54.99 apply (zenon_L582_); trivial.
% 54.76/54.99 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_Hd6 | zenon_intro zenon_He2 ].
% 54.76/54.99 exact (zenon_Hd7 zenon_Hd6).
% 54.76/54.99 exact (zenon_H281 zenon_He2).
% 54.76/54.99 apply (zenon_or_s _ _ zenon_H28e); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H28f ].
% 54.76/54.99 exact (zenon_H28d zenon_Hc3).
% 54.76/54.99 apply (zenon_or_s _ _ zenon_H28f); [ zenon_intro zenon_H27f | zenon_intro zenon_H283 ].
% 54.76/54.99 apply (zenon_L134_); trivial.
% 54.76/54.99 apply (zenon_L138_); trivial.
% 54.76/54.99 apply (zenon_or_s _ _ zenon_Ha7); [ zenon_intro zenon_H92 | zenon_intro zenon_Ha9 ].
% 54.76/54.99 apply (zenon_L25_); trivial.
% 54.76/54.99 apply (zenon_or_s _ _ zenon_Ha9); [ zenon_intro zenon_H97 | zenon_intro zenon_H9e ].
% 54.76/54.99 apply (zenon_L26_); trivial.
% 54.76/54.99 apply (zenon_L27_); trivial.
% 54.76/54.99 apply (zenon_or_s _ _ zenon_H4a1); [ zenon_intro zenon_H49a | zenon_intro zenon_H42a ].
% 54.76/54.99 apply (zenon_L555_); trivial.
% 54.76/54.99 apply (zenon_L556_); trivial.
% 54.76/54.99 apply (zenon_L79_); trivial.
% 54.76/54.99 (* end of lemma zenon_L583_ *)
% 54.76/54.99 assert (zenon_L584_ : (((op1 (e10) (e12)) = (e10))/\(((op1 (e12) (e10)) = (e10))/\(((~((op1 (e12) (e10)) = (e12)))\/(~((op1 (e12) (e12)) = (e10))))/\(((~((op1 (e12) (e11)) = (e12)))\/(~((op1 (e12) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13))))))))) -> (~((op2 (e20) (e20)) = (e21))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e20) (e21)) = (e23))\/(((op2 (e20) (e22)) = (e23))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e22)))) -> (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> (~((op2 (e22) (e23)) = (e22))) -> (~((op2 (e22) (e22)) = (e22))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> (((op2 (e21) (e20)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/((op2 (e21) (e23)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (~((op2 (e21) (e22)) = (op2 (e21) (e23)))) -> ((op2 (e21) (op2 (e21) (e23))) = (e23)) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e21)) = (e22))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (((op2 (e22) (e20)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e22) (e23)) = (e23))))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> ((op2 (e22) (e20)) = (e20)) -> (~((op2 (e22) (e22)) = (e21))) -> (((op2 (e22) (e22)) = (e20))\/(((op2 (e22) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e22)) = (e23))))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (~((e22) = (e23))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> (((op2 (e20) (e21)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e23) (e21)) = (e22))))) -> (~((op2 (e21) (e21)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> ((op1 (e11) (op1 (e11) (e10))) = (e10)) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((e12) = (e13))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> ((op1 (e11) (op1 (e11) (e13))) = (e13)) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (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 (e12) (e11)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e11)) = (e12))\/((op1 (e10) (e11)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e12))\/((op1 (e11) (e10)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (~((h2 (op1 (e11) (e12))) = (op2 (h2 (e11)) (h2 (e12))))) -> ((h2 (e12)) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> ((h2 (e11)) = (e21)) -> ((op1 (e11) (op1 (e11) (e12))) = (e12)) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> ((e10) = (op1 (e11) (e11))) -> ((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) -> ((e12) = (op1 (op1 (op1 (e11) (e11)) (op1 (e11) (e11))) (op1 (e11) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e11) (e11)) = (e11))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> ((op1 (e11) (op1 (e11) (e11))) = (e11)) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (((op2 (e21) (e22)) = (e20))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e22)) = (e23))))) -> ((e20) = (op2 (e21) (e21))) -> ((e23) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((e22) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e21) (e21)) = (e21))) -> (~((e21) = (e22))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> (((op2 (e20) (e21)) = (e20))\/(((op2 (e20) (e21)) = (e21))\/(((op2 (e20) (e21)) = (e22))\/((op2 (e20) (e21)) = (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) (op2 (e21) (e21))) = (e21)) -> (((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e21))\/((op2 (e23) (e20)) = (e21))))) -> ((op1 (e12) (e11)) = (e12)) -> False).
% 54.76/54.99 do 0 intro. intros zenon_H197 zenon_H49d zenon_Ha5 zenon_H98 zenon_H4ae zenon_Hf1 zenon_H281 zenon_Hd7 zenon_H286 zenon_Hb0 zenon_H399 zenon_H9f zenon_H47a zenon_H395 zenon_H116 zenon_H3b1 zenon_H3af zenon_H60 zenon_H282 zenon_H39d zenon_H3b4 zenon_H45 zenon_H3f1 zenon_H37d zenon_H121 zenon_H101 zenon_H100 zenon_H47c zenon_Hec zenon_H11f zenon_H3fd zenon_H7a zenon_Hc5 zenon_H1a0 zenon_H1e zenon_H1fa zenon_H1de zenon_H292 zenon_H1da zenon_H15a zenon_H2ad zenon_H236 zenon_H32b zenon_H19d zenon_H316 zenon_H360 zenon_H1cc zenon_H18a zenon_H1fd zenon_H172 zenon_H29e zenon_H2f8 zenon_H301 zenon_H23b zenon_H204 zenon_H179 zenon_H180 zenon_H186 zenon_H17 zenon_H206 zenon_H2b9 zenon_H30e zenon_H25 zenon_H2e7 zenon_H21a zenon_H358 zenon_H32e zenon_H1e8 zenon_H15f zenon_H1a9 zenon_H14b zenon_H4a2 zenon_H44f zenon_H270 zenon_H375 zenon_H1f7 zenon_H2c0 zenon_H2c2 zenon_H13 zenon_H15 zenon_H155 zenon_H154 zenon_H473 zenon_H209 zenon_H1be zenon_H1d8 zenon_H2a3 zenon_H2a5 zenon_H2a6 zenon_H2b1 zenon_H1b1 zenon_H1ed zenon_H313 zenon_H474 zenon_H437 zenon_H40f zenon_H33 zenon_H3b zenon_H3f zenon_H3e zenon_H28d zenon_H27e zenon_H8d zenon_H93 zenon_H289 zenon_H28c zenon_H498 zenon_H499 zenon_H49e zenon_H202.
% 54.76/54.99 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_H18f. zenon_intro zenon_H198.
% 54.76/54.99 apply (zenon_and_s _ _ zenon_H198). zenon_intro zenon_H293. zenon_intro zenon_H227.
% 54.76/54.99 apply (zenon_and_s _ _ zenon_H227). zenon_intro zenon_H229. zenon_intro zenon_H228.
% 54.76/54.99 apply (zenon_and_s _ _ zenon_H228). zenon_intro zenon_H22b. zenon_intro zenon_H22a.
% 54.76/54.99 apply (zenon_and_s _ _ zenon_H22a). zenon_intro zenon_H224. zenon_intro zenon_H22c.
% 54.76/54.99 apply (zenon_or_s _ _ zenon_H22b); [ zenon_intro zenon_H23c | zenon_intro zenon_H23f ].
% 54.76/54.99 exact (zenon_H23c zenon_H202).
% 54.76/54.99 apply (zenon_L579_); trivial.
% 54.76/54.99 (* end of lemma zenon_L584_ *)
% 54.76/54.99 assert (zenon_L585_ : ((~((op2 (e22) (e23)) = (e22)))\/(~((op2 (e22) (e22)) = (e23)))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e12))\/((op1 (e11) (e10)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> ((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) -> ((e12) = (op1 (op1 (op1 (e11) (e11)) (op1 (e11) (e11))) (op1 (e11) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((e10) = (e12))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e11)) = (e12))\/((op1 (e10) (e11)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (((op1 (e13) (e13)) = (e10))\/(((op1 (e13) (e13)) = (e11))\/(((op1 (e13) (e13)) = (e12))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (~((e12) = (e13))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> ((((op1 (e10) (e10)) = (e10))/\(((op1 (e10) (e10)) = (e10))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11))))/\(((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12))))/\((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))))))))\/((((op1 (e10) (e11)) = (e10))/\(((op1 (e11) (e10)) = (e10))/\(((~((op1 (e11) (e10)) = (e11)))\/(~((op1 (e11) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e11) (e12)) = (e11)))\/(~((op1 (e11) (e11)) = (e12))))/\((~((op1 (e11) (e13)) = (e11)))\/(~((op1 (e11) (e11)) = (e13)))))))))\/((((op1 (e10) (e12)) = (e10))/\(((op1 (e12) (e10)) = (e10))/\(((~((op1 (e12) (e10)) = (e12)))\/(~((op1 (e12) (e12)) = (e10))))/\(((~((op1 (e12) (e11)) = (e12)))\/(~((op1 (e12) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13)))))))))\/((((op1 (e10) (e13)) = (e10))/\(((op1 (e13) (e10)) = (e10))/\(((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e13) (e13)) = (e10))))/\(((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11))))/\(((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e13) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13)))))))))\/((((op1 (e11) (e10)) = (e11))/\(((op1 (e10) (e11)) = (e11))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11))))/\(((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12))))/\((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))))))))\/((((op1 (e11) (e11)) = (e11))/\(((op1 (e11) (e11)) = (e11))/\(((~((op1 (e11) (e10)) = (e11)))\/(~((op1 (e11) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e11) (e12)) = (e11)))\/(~((op1 (e11) (e11)) = (e12))))/\((~((op1 (e11) (e13)) = (e11)))\/(~((op1 (e11) (e11)) = (e13)))))))))\/((((op1 (e11) (e12)) = (e11))/\(((op1 (e12) (e11)) = (e11))/\(((~((op1 (e12) (e10)) = (e12)))\/(~((op1 (e12) (e12)) = (e10))))/\(((~((op1 (e12) (e11)) = (e12)))\/(~((op1 (e12) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13)))))))))\/((((op1 (e11) (e13)) = (e11))/\(((op1 (e13) (e11)) = (e11))/\(((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e13) (e13)) = (e10))))/\(((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11))))/\(((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e13) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13)))))))))\/((((op1 (e12) (e10)) = (e12))/\(((op1 (e10) (e12)) = (e12))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11))))/\(((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12))))/\((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))))))))\/((((op1 (e12) (e11)) = (e12))/\(((op1 (e11) (e12)) = (e12))/\(((~((op1 (e11) (e10)) = (e11)))\/(~((op1 (e11) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e11) (e12)) = (e11)))\/(~((op1 (e11) (e11)) = (e12))))/\((~((op1 (e11) (e13)) = (e11)))\/(~((op1 (e11) (e11)) = (e13)))))))))\/((((op1 (e12) (e12)) = (e12))/\(((op1 (e12) (e12)) = (e12))/\(((~((op1 (e12) (e10)) = (e12)))\/(~((op1 (e12) (e12)) = (e10))))/\(((~((op1 (e12) (e11)) = (e12)))\/(~((op1 (e12) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13)))))))))\/((((op1 (e12) (e13)) = (e12))/\(((op1 (e13) (e12)) = (e12))/\(((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e13) (e13)) = (e10))))/\(((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11))))/\(((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e13) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13)))))))))\/((((op1 (e13) (e10)) = (e13))/\(((op1 (e10) (e13)) = (e13))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11))))/\(((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12))))/\((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))))))))\/((((op1 (e13) (e11)) = (e13))/\(((op1 (e11) (e13)) = (e13))/\(((~((op1 (e11) (e10)) = (e11)))\/(~((op1 (e11) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e11) (e12)) = (e11)))\/(~((op1 (e11) (e11)) = (e12))))/\((~((op1 (e11) (e13)) = (e11)))\/(~((op1 (e11) (e11)) = (e13)))))))))\/((((op1 (e13) (e12)) = (e13))/\(((op1 (e12) (e13)) = (e13))/\(((~((op1 (e12) (e10)) = (e12)))\/(~((op1 (e12) (e12)) = (e10))))/\(((~((op1 (e12) (e11)) = (e12)))\/(~((op1 (e12) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13)))))))))\/(((op1 (e13) (e13)) = (e13))/\(((op1 (e13) (e13)) = (e13))/\(((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e13) (e13)) = (e10))))/\(((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11))))/\(((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e13) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13)))))))))))))))))))))))) -> ((e10) = (op1 (e11) (e11))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> ((op2 (e21) (op2 (e21) (e22))) = (e22)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e21))\/((op2 (e23) (e20)) = (e21))))) -> ((op2 (e21) (op2 (e21) (e21))) = (e21)) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> (((op2 (e20) (e21)) = (e20))\/(((op2 (e20) (e21)) = (e21))\/(((op2 (e20) (e21)) = (e22))\/((op2 (e20) (e21)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> (~((e21) = (e22))) -> (~((op2 (e21) (e21)) = (e21))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> ((e22) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> ((e23) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((e20) = (op2 (e21) (e21))) -> (((op2 (e21) (e22)) = (e20))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e22)) = (e23))))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> ((h2 (e11)) = (e21)) -> ((h2 (e12)) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> (~((h2 (op1 (e11) (e12))) = (op2 (h2 (e11)) (h2 (e12))))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e21)) = (op2 (e21) (e22)))) -> (((op2 (e20) (e21)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e23) (e21)) = (e22))))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> (~((e22) = (e23))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (((op2 (e22) (e22)) = (e20))\/(((op2 (e22) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e22)) = (e23))))) -> (~((op2 (e22) (e22)) = (e21))) -> ((op2 (e22) (e20)) = (e20)) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> (((op2 (e22) (e20)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e22) (e23)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e21)) = (e22))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> ((op2 (e21) (op2 (e21) (e23))) = (e23)) -> (~((op2 (e21) (e22)) = (op2 (e21) (e23)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (((op2 (e21) (e20)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/((op2 (e21) (e23)) = (e23))))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (~((op2 (e22) (e22)) = (e22))) -> (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e22)))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e20) (e21)) = (e23))\/(((op2 (e20) (e22)) = (e23))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e20)) = (e21))) -> (((op1 (e10) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e12) (e11)) = (e13))))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e12) (e13)) = (e10))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> ((((op1 (e10) (op1 (e10) (e10))) = (e10))/\(((op1 (e10) (op1 (e10) (e11))) = (e11))/\(((op1 (e10) (op1 (e10) (e12))) = (e12))/\(((op1 (e10) (op1 (e10) (e13))) = (e13))/\(((~((op1 (e10) (e10)) = (e10)))\/((op1 (e10) (e10)) = (e10)))/\(((~((op1 (e11) (e11)) = (e10)))\/((op1 (e11) (e10)) = (e11)))/\(((~((op1 (e12) (e12)) = (e10)))\/((op1 (e12) (e10)) = (e12)))/\((~((op1 (e13) (e13)) = (e10)))\/((op1 (e13) (e10)) = (e13))))))))))\/((((op1 (e11) (op1 (e11) (e10))) = (e10))/\(((op1 (e11) (op1 (e11) (e11))) = (e11))/\(((op1 (e11) (op1 (e11) (e12))) = (e12))/\(((op1 (e11) (op1 (e11) (e13))) = (e13))/\(((~((op1 (e10) (e10)) = (e11)))\/((op1 (e10) (e11)) = (e10)))/\(((~((op1 (e11) (e11)) = (e11)))\/((op1 (e11) (e11)) = (e11)))/\(((~((op1 (e12) (e12)) = (e11)))\/((op1 (e12) (e11)) = (e12)))/\((~((op1 (e13) (e13)) = (e11)))\/((op1 (e13) (e11)) = (e13))))))))))\/((((op1 (e12) (op1 (e12) (e10))) = (e10))/\(((op1 (e12) (op1 (e12) (e11))) = (e11))/\(((op1 (e12) (op1 (e12) (e12))) = (e12))/\(((op1 (e12) (op1 (e12) (e13))) = (e13))/\(((~((op1 (e10) (e10)) = (e12)))\/((op1 (e10) (e12)) = (e10)))/\(((~((op1 (e11) (e11)) = (e12)))\/((op1 (e11) (e12)) = (e11)))/\(((~((op1 (e12) (e12)) = (e12)))\/((op1 (e12) (e12)) = (e12)))/\((~((op1 (e13) (e13)) = (e12)))\/((op1 (e13) (e12)) = (e13))))))))))\/(((op1 (e13) (op1 (e13) (e10))) = (e10))/\(((op1 (e13) (op1 (e13) (e11))) = (e11))/\(((op1 (e13) (op1 (e13) (e12))) = (e12))/\(((op1 (e13) (op1 (e13) (e13))) = (e13))/\(((~((op1 (e10) (e10)) = (e13)))\/((op1 (e10) (e13)) = (e10)))/\(((~((op1 (e11) (e11)) = (e13)))\/((op1 (e11) (e13)) = (e11)))/\(((~((op1 (e12) (e12)) = (e13)))\/((op1 (e12) (e13)) = (e12)))/\((~((op1 (e13) (e13)) = (e13)))\/((op1 (e13) (e13)) = (e13))))))))))))) -> False).
% 54.76/54.99 do 0 intro. intros zenon_Hdf zenon_H15f zenon_H15a zenon_H15 zenon_H155 zenon_H154 zenon_H14b zenon_H186 zenon_H180 zenon_H179 zenon_H172 zenon_H16c zenon_H18a zenon_H18e zenon_H192 zenon_H246 zenon_H19d zenon_H1a0 zenon_H25 zenon_H1e zenon_H17 zenon_H1a9 zenon_H209 zenon_H206 zenon_H204 zenon_H1fd zenon_H1fa zenon_H1f7 zenon_H1f4 zenon_H1ed zenon_H1e8 zenon_H1da zenon_H1d8 zenon_H1cc zenon_H1de zenon_H1b1 zenon_H1be zenon_H20c zenon_H21a zenon_H236 zenon_H23b zenon_H245 zenon_H13 zenon_H3a8 zenon_H481 zenon_H6e zenon_H47e zenon_H485 zenon_H328 zenon_H49e zenon_H499 zenon_H498 zenon_H28c zenon_H289 zenon_H93 zenon_H8d zenon_H27e zenon_H28d zenon_H3e zenon_H3f zenon_H3b zenon_H33 zenon_H40f zenon_H437 zenon_H474 zenon_H313 zenon_H2b1 zenon_H2a5 zenon_H2a3 zenon_H2c2 zenon_H2c0 zenon_H270 zenon_H44f zenon_H4a2 zenon_H32e zenon_H358 zenon_H2e7 zenon_H30e zenon_H2b9 zenon_H301 zenon_H2f8 zenon_H360 zenon_H316 zenon_H32b zenon_H2ad zenon_Hc5 zenon_H7a zenon_H3fd zenon_H11f zenon_Hec zenon_H47c zenon_H100 zenon_H101 zenon_H121 zenon_H37d zenon_H3f1 zenon_H45 zenon_H3b4 zenon_H39d zenon_H282 zenon_H60 zenon_H3af zenon_H3b1 zenon_H116 zenon_H395 zenon_H47a zenon_H9f zenon_H399 zenon_Hb0 zenon_H286 zenon_Hd7 zenon_Hf1 zenon_H4ae zenon_H98 zenon_Ha5 zenon_H49d zenon_H2fd zenon_H2fb zenon_H2f6 zenon_H325 zenon_H322 zenon_H321 zenon_H30b zenon_H2ea zenon_H2e2 zenon_H2e6 zenon_H2d9 zenon_H2c9 zenon_H2d1 zenon_H35d zenon_H345 zenon_H355 zenon_H36e.
% 54.76/54.99 apply (zenon_or_s _ _ zenon_Hdf); [ zenon_intro zenon_H281 | zenon_intro zenon_H37f ].
% 54.76/54.99 apply (zenon_or_s _ _ zenon_H36e); [ zenon_intro zenon_H244 | zenon_intro zenon_H36f ].
% 54.76/54.99 apply (zenon_L126_); trivial.
% 54.76/54.99 apply (zenon_or_s _ _ zenon_H36f); [ zenon_intro zenon_H371 | zenon_intro zenon_H370 ].
% 54.76/54.99 apply (zenon_and_s _ _ zenon_H371). zenon_intro zenon_H292. zenon_intro zenon_H372.
% 54.76/54.99 apply (zenon_and_s _ _ zenon_H372). zenon_intro zenon_H2a6. zenon_intro zenon_H373.
% 54.76/54.99 apply (zenon_and_s _ _ zenon_H373). zenon_intro zenon_H375. zenon_intro zenon_H374.
% 54.76/54.99 apply (zenon_and_s _ _ zenon_H374). zenon_intro zenon_H29e. zenon_intro zenon_H376.
% 54.76/54.99 apply (zenon_and_s _ _ zenon_H376). zenon_intro zenon_H378. zenon_intro zenon_H377.
% 54.76/54.99 apply (zenon_and_s _ _ zenon_H377). zenon_intro zenon_H37a. zenon_intro zenon_H379.
% 54.76/54.99 apply (zenon_and_s _ _ zenon_H379). zenon_intro zenon_H37c. zenon_intro zenon_H37b.
% 54.76/54.99 apply (zenon_or_s _ _ zenon_H37a); [ zenon_intro zenon_H473 | zenon_intro zenon_H1a7 ].
% 54.76/54.99 apply (zenon_or_s _ _ zenon_H37c); [ zenon_intro zenon_H23f | zenon_intro zenon_H202 ].
% 54.76/54.99 apply (zenon_or_s _ _ zenon_H37b); [ zenon_intro zenon_H20d | zenon_intro zenon_H1c3 ].
% 54.76/54.99 apply (zenon_or_s _ _ zenon_H245); [ zenon_intro zenon_H147 | zenon_intro zenon_H254 ].
% 54.76/54.99 apply (zenon_L60_); trivial.
% 54.76/54.99 apply (zenon_or_s _ _ zenon_H254); [ zenon_intro zenon_H164 | zenon_intro zenon_H255 ].
% 54.76/54.99 apply (zenon_L66_); trivial.
% 54.76/54.99 apply (zenon_or_s _ _ zenon_H255); [ zenon_intro zenon_H197 | zenon_intro zenon_H256 ].
% 54.76/54.99 apply (zenon_L580_); trivial.
% 54.76/54.99 apply (zenon_or_s _ _ zenon_H256); [ zenon_intro zenon_H199 | zenon_intro zenon_H257 ].
% 54.76/54.99 apply (zenon_L77_); trivial.
% 54.76/54.99 apply (zenon_or_s _ _ zenon_H257); [ zenon_intro zenon_H259 | zenon_intro zenon_H258 ].
% 54.76/54.99 apply (zenon_L583_); trivial.
% 54.76/54.99 apply (zenon_or_s _ _ zenon_H258); [ zenon_intro zenon_H1a5 | zenon_intro zenon_H262 ].
% 54.76/54.99 apply (zenon_L80_); trivial.
% 54.76/54.99 apply (zenon_or_s _ _ zenon_H262); [ zenon_intro zenon_H1ae | zenon_intro zenon_H263 ].
% 54.76/54.99 apply (zenon_L83_); trivial.
% 54.76/54.99 apply (zenon_or_s _ _ zenon_H263); [ zenon_intro zenon_H212 | zenon_intro zenon_H264 ].
% 54.76/54.99 apply (zenon_L161_); trivial.
% 54.76/54.99 apply (zenon_or_s _ _ zenon_H264); [ zenon_intro zenon_H220 | zenon_intro zenon_H265 ].
% 54.76/54.99 apply (zenon_L110_); trivial.
% 54.76/54.99 apply (zenon_or_s _ _ zenon_H265); [ zenon_intro zenon_H222 | zenon_intro zenon_H266 ].
% 54.76/54.99 apply (zenon_L111_); trivial.
% 54.76/54.99 apply (zenon_or_s _ _ zenon_H266); [ zenon_intro zenon_H225 | zenon_intro zenon_H267 ].
% 54.76/54.99 apply (zenon_L113_); trivial.
% 54.76/54.99 apply (zenon_or_s _ _ zenon_H267); [ zenon_intro zenon_H22d | zenon_intro zenon_H268 ].
% 54.76/54.99 apply (zenon_L114_); trivial.
% 54.76/54.99 apply (zenon_or_s _ _ zenon_H268); [ zenon_intro zenon_H230 | zenon_intro zenon_H269 ].
% 54.76/54.99 apply (zenon_L115_); trivial.
% 54.76/54.99 apply (zenon_or_s _ _ zenon_H269); [ zenon_intro zenon_H232 | zenon_intro zenon_H26a ].
% 54.76/54.99 apply (zenon_L116_); trivial.
% 54.76/54.99 apply (zenon_or_s _ _ zenon_H26a); [ zenon_intro zenon_H240 | zenon_intro zenon_H242 ].
% 54.76/54.99 apply (zenon_L166_); trivial.
% 54.76/54.99 apply (zenon_L125_); trivial.
% 54.76/54.99 apply (zenon_or_s _ _ zenon_H245); [ zenon_intro zenon_H147 | zenon_intro zenon_H254 ].
% 54.76/54.99 apply (zenon_L60_); trivial.
% 54.76/54.99 apply (zenon_or_s _ _ zenon_H254); [ zenon_intro zenon_H164 | zenon_intro zenon_H255 ].
% 54.76/54.99 apply (zenon_L66_); trivial.
% 54.76/54.99 apply (zenon_or_s _ _ zenon_H255); [ zenon_intro zenon_H197 | zenon_intro zenon_H256 ].
% 54.76/54.99 apply (zenon_L580_); trivial.
% 54.76/54.99 apply (zenon_or_s _ _ zenon_H256); [ zenon_intro zenon_H199 | zenon_intro zenon_H257 ].
% 54.76/54.99 apply (zenon_L77_); trivial.
% 54.76/54.99 apply (zenon_or_s _ _ zenon_H257); [ zenon_intro zenon_H259 | zenon_intro zenon_H258 ].
% 54.76/54.99 apply (zenon_L583_); trivial.
% 54.76/54.99 apply (zenon_or_s _ _ zenon_H258); [ zenon_intro zenon_H1a5 | zenon_intro zenon_H262 ].
% 54.76/54.99 apply (zenon_L80_); trivial.
% 54.76/54.99 apply (zenon_or_s _ _ zenon_H262); [ zenon_intro zenon_H1ae | zenon_intro zenon_H263 ].
% 54.76/54.99 apply (zenon_L83_); trivial.
% 54.76/54.99 apply (zenon_or_s _ _ zenon_H263); [ zenon_intro zenon_H212 | zenon_intro zenon_H264 ].
% 54.76/54.99 apply (zenon_L167_); trivial.
% 54.76/54.99 apply (zenon_or_s _ _ zenon_H264); [ zenon_intro zenon_H220 | zenon_intro zenon_H265 ].
% 54.76/54.99 apply (zenon_L110_); trivial.
% 54.76/54.99 apply (zenon_or_s _ _ zenon_H265); [ zenon_intro zenon_H222 | zenon_intro zenon_H266 ].
% 54.76/54.99 apply (zenon_L111_); trivial.
% 54.76/54.99 apply (zenon_or_s _ _ zenon_H266); [ zenon_intro zenon_H225 | zenon_intro zenon_H267 ].
% 54.76/54.99 apply (zenon_L113_); trivial.
% 54.76/54.99 apply (zenon_or_s _ _ zenon_H267); [ zenon_intro zenon_H22d | zenon_intro zenon_H268 ].
% 54.76/54.99 apply (zenon_L114_); trivial.
% 54.76/54.99 apply (zenon_or_s _ _ zenon_H268); [ zenon_intro zenon_H230 | zenon_intro zenon_H269 ].
% 54.76/54.99 apply (zenon_L115_); trivial.
% 54.76/54.99 apply (zenon_or_s _ _ zenon_H269); [ zenon_intro zenon_H232 | zenon_intro zenon_H26a ].
% 54.76/54.99 apply (zenon_L116_); trivial.
% 54.76/54.99 apply (zenon_or_s _ _ zenon_H26a); [ zenon_intro zenon_H240 | zenon_intro zenon_H242 ].
% 54.76/54.99 apply (zenon_L166_); trivial.
% 54.76/54.99 apply (zenon_L125_); trivial.
% 54.76/54.99 apply (zenon_or_s _ _ zenon_H245); [ zenon_intro zenon_H147 | zenon_intro zenon_H254 ].
% 54.76/54.99 apply (zenon_L60_); trivial.
% 54.76/54.99 apply (zenon_or_s _ _ zenon_H254); [ zenon_intro zenon_H164 | zenon_intro zenon_H255 ].
% 54.76/54.99 apply (zenon_L66_); trivial.
% 54.76/54.99 apply (zenon_or_s _ _ zenon_H255); [ zenon_intro zenon_H197 | zenon_intro zenon_H256 ].
% 54.76/54.99 apply (zenon_L584_); trivial.
% 54.76/54.99 apply (zenon_or_s _ _ zenon_H256); [ zenon_intro zenon_H199 | zenon_intro zenon_H257 ].
% 54.76/54.99 apply (zenon_L77_); trivial.
% 54.76/54.99 apply (zenon_or_s _ _ zenon_H257); [ zenon_intro zenon_H259 | zenon_intro zenon_H258 ].
% 54.76/54.99 apply (zenon_L583_); trivial.
% 54.76/54.99 apply (zenon_or_s _ _ zenon_H258); [ zenon_intro zenon_H1a5 | zenon_intro zenon_H262 ].
% 54.76/54.99 apply (zenon_L80_); trivial.
% 54.76/54.99 apply (zenon_or_s _ _ zenon_H262); [ zenon_intro zenon_H1ae | zenon_intro zenon_H263 ].
% 54.76/54.99 apply (zenon_L83_); trivial.
% 54.76/54.99 apply (zenon_or_s _ _ zenon_H263); [ zenon_intro zenon_H212 | zenon_intro zenon_H264 ].
% 54.76/54.99 apply (zenon_L169_); trivial.
% 54.76/54.99 apply (zenon_or_s _ _ zenon_H264); [ zenon_intro zenon_H220 | zenon_intro zenon_H265 ].
% 54.76/54.99 apply (zenon_L110_); trivial.
% 54.76/54.99 apply (zenon_or_s _ _ zenon_H265); [ zenon_intro zenon_H222 | zenon_intro zenon_H266 ].
% 54.76/54.99 apply (zenon_L111_); trivial.
% 54.76/54.99 apply (zenon_or_s _ _ zenon_H266); [ zenon_intro zenon_H225 | zenon_intro zenon_H267 ].
% 54.76/54.99 apply (zenon_L113_); trivial.
% 54.76/54.99 apply (zenon_or_s _ _ zenon_H267); [ zenon_intro zenon_H22d | zenon_intro zenon_H268 ].
% 54.76/54.99 apply (zenon_L114_); trivial.
% 54.76/54.99 apply (zenon_or_s _ _ zenon_H268); [ zenon_intro zenon_H230 | zenon_intro zenon_H269 ].
% 54.76/54.99 apply (zenon_L115_); trivial.
% 54.76/54.99 apply (zenon_or_s _ _ zenon_H269); [ zenon_intro zenon_H232 | zenon_intro zenon_H26a ].
% 54.76/54.99 apply (zenon_L116_); trivial.
% 54.76/54.99 apply (zenon_or_s _ _ zenon_H26a); [ zenon_intro zenon_H240 | zenon_intro zenon_H242 ].
% 54.76/54.99 apply (zenon_L166_); trivial.
% 54.76/54.99 apply (zenon_L125_); trivial.
% 54.76/54.99 apply (zenon_L532_); trivial.
% 54.76/54.99 apply (zenon_or_s _ _ zenon_H370); [ zenon_intro zenon_H335 | zenon_intro zenon_H363 ].
% 54.76/54.99 apply (zenon_L260_); trivial.
% 54.76/54.99 apply (zenon_L307_); trivial.
% 54.76/54.99 apply (zenon_L310_); trivial.
% 54.76/54.99 (* end of lemma zenon_L585_ *)
% 54.76/54.99 assert (zenon_L586_ : (((op2 (e20) (e22)) = (e20))/\(((op2 (e22) (e20)) = (e20))/\(((~((op2 (e22) (e20)) = (e22)))\/(~((op2 (e22) (e22)) = (e20))))/\(((~((op2 (e22) (e21)) = (e22)))\/(~((op2 (e22) (e22)) = (e21))))/\(((~((op2 (e22) (e22)) = (e22)))\/(~((op2 (e22) (e22)) = (e22))))/\((~((op2 (e22) (e23)) = (e22)))\/(~((op2 (e22) (e22)) = (e23))))))))) -> ((((op1 (e10) (op1 (e10) (e10))) = (e10))/\(((op1 (e10) (op1 (e10) (e11))) = (e11))/\(((op1 (e10) (op1 (e10) (e12))) = (e12))/\(((op1 (e10) (op1 (e10) (e13))) = (e13))/\(((~((op1 (e10) (e10)) = (e10)))\/((op1 (e10) (e10)) = (e10)))/\(((~((op1 (e11) (e11)) = (e10)))\/((op1 (e11) (e10)) = (e11)))/\(((~((op1 (e12) (e12)) = (e10)))\/((op1 (e12) (e10)) = (e12)))/\((~((op1 (e13) (e13)) = (e10)))\/((op1 (e13) (e10)) = (e13))))))))))\/((((op1 (e11) (op1 (e11) (e10))) = (e10))/\(((op1 (e11) (op1 (e11) (e11))) = (e11))/\(((op1 (e11) (op1 (e11) (e12))) = (e12))/\(((op1 (e11) (op1 (e11) (e13))) = (e13))/\(((~((op1 (e10) (e10)) = (e11)))\/((op1 (e10) (e11)) = (e10)))/\(((~((op1 (e11) (e11)) = (e11)))\/((op1 (e11) (e11)) = (e11)))/\(((~((op1 (e12) (e12)) = (e11)))\/((op1 (e12) (e11)) = (e12)))/\((~((op1 (e13) (e13)) = (e11)))\/((op1 (e13) (e11)) = (e13))))))))))\/((((op1 (e12) (op1 (e12) (e10))) = (e10))/\(((op1 (e12) (op1 (e12) (e11))) = (e11))/\(((op1 (e12) (op1 (e12) (e12))) = (e12))/\(((op1 (e12) (op1 (e12) (e13))) = (e13))/\(((~((op1 (e10) (e10)) = (e12)))\/((op1 (e10) (e12)) = (e10)))/\(((~((op1 (e11) (e11)) = (e12)))\/((op1 (e11) (e12)) = (e11)))/\(((~((op1 (e12) (e12)) = (e12)))\/((op1 (e12) (e12)) = (e12)))/\((~((op1 (e13) (e13)) = (e12)))\/((op1 (e13) (e12)) = (e13))))))))))\/(((op1 (e13) (op1 (e13) (e10))) = (e10))/\(((op1 (e13) (op1 (e13) (e11))) = (e11))/\(((op1 (e13) (op1 (e13) (e12))) = (e12))/\(((op1 (e13) (op1 (e13) (e13))) = (e13))/\(((~((op1 (e10) (e10)) = (e13)))\/((op1 (e10) (e13)) = (e10)))/\(((~((op1 (e11) (e11)) = (e13)))\/((op1 (e11) (e13)) = (e11)))/\(((~((op1 (e12) (e12)) = (e13)))\/((op1 (e12) (e13)) = (e12)))/\((~((op1 (e13) (e13)) = (e13)))\/((op1 (e13) (e13)) = (e13))))))))))))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e12) (e13)) = (e10))))) -> (((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e12) (e11)) = (e13))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 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(e23))\/(((op2 (e21) (e22)) = (e23))\/((op2 (e21) (e23)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (~((op2 (e21) (e22)) = (op2 (e21) (e23)))) -> ((op2 (e21) (op2 (e21) (e23))) = (e23)) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e21)) = (e22))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (((op2 (e22) (e20)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e22) (e23)) = (e23))))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> (~((op2 (e22) (e22)) = (e21))) -> (((op2 (e22) (e22)) = (e20))\/(((op2 (e22) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e22)) = (e23))))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (~((e22) = (e23))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> (((op2 (e20) (e21)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e23) (e21)) = (e22))))) -> (~((op2 (e21) (e21)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((h2 (op1 (e11) (e12))) = (op2 (h2 (e11)) (h2 (e12))))) -> ((h2 (e12)) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> ((h2 (e11)) = (e21)) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (((op1 (e11) (e10)) = 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(e11) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e11) (e12)) = (e11)))\/(~((op1 (e11) (e11)) = (e12))))/\((~((op1 (e11) (e13)) = (e11)))\/(~((op1 (e11) (e11)) = (e13)))))))))\/((((op1 (e13) (e12)) = (e13))/\(((op1 (e12) (e13)) = (e13))/\(((~((op1 (e12) (e10)) = (e12)))\/(~((op1 (e12) (e12)) = (e10))))/\(((~((op1 (e12) (e11)) = (e12)))\/(~((op1 (e12) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13)))))))))\/(((op1 (e13) (e13)) = (e13))/\(((op1 (e13) (e13)) = (e13))/\(((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e13) (e13)) = (e10))))/\(((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11))))/\(((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e13) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13)))))))))))))))))))))))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((e12) = (e13))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e13) (e13)) = (e10))\/(((op1 (e13) (e13)) = (e11))\/(((op1 (e13) (e13)) = (e12))\/((op1 (e13) (e13)) = (e13))))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (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) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e11)) = (e12))\/((op1 (e10) (e11)) = (e13))))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((e10) = (e12))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> ((e12) = (op1 (op1 (op1 (e11) (e11)) (op1 (e11) (e11))) (op1 (e11) (e11)))) -> ((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e12))\/((op1 (e11) (e10)) = (e13))))) -> False).
% 54.76/54.99 do 0 intro. intros zenon_H77 zenon_H36e zenon_H355 zenon_H345 zenon_H35d zenon_H2d1 zenon_H2c9 zenon_H2d9 zenon_H2e6 zenon_H2e2 zenon_H2ea zenon_H30b zenon_H321 zenon_H322 zenon_H325 zenon_H2f6 zenon_H2fb zenon_H2fd zenon_H49d zenon_Ha5 zenon_H98 zenon_H4ae zenon_Hf1 zenon_H286 zenon_Hb0 zenon_H399 zenon_H9f zenon_H47a zenon_H395 zenon_H116 zenon_H3b1 zenon_H3af zenon_H60 zenon_H282 zenon_H39d zenon_H3b4 zenon_H45 zenon_H3f1 zenon_H37d zenon_H101 zenon_H100 zenon_H47c zenon_Hec zenon_H11f zenon_H3fd zenon_H7a zenon_Hc5 zenon_H2ad zenon_H32b zenon_H316 zenon_H360 zenon_H2f8 zenon_H301 zenon_H2b9 zenon_H30e zenon_H2e7 zenon_H358 zenon_H32e zenon_H4a2 zenon_H44f zenon_H270 zenon_H2c0 zenon_H2c2 zenon_H2a3 zenon_H2a5 zenon_H2b1 zenon_H313 zenon_H474 zenon_H437 zenon_H40f zenon_H33 zenon_H3b zenon_H3f zenon_H3e zenon_H28d zenon_H27e zenon_H8d zenon_H93 zenon_H289 zenon_H28c zenon_H498 zenon_H499 zenon_H49e zenon_H328 zenon_H485 zenon_H47e zenon_H6e zenon_H481 zenon_H3a8 zenon_H13 zenon_H245 zenon_H23b zenon_H236 zenon_H21a zenon_H20c zenon_H1be zenon_H1b1 zenon_H1de zenon_H1cc zenon_H1d8 zenon_H1da zenon_H1e8 zenon_H1ed zenon_H1f4 zenon_H1f7 zenon_H1fa zenon_H1fd zenon_H204 zenon_H206 zenon_H209 zenon_H1a9 zenon_H17 zenon_H1e zenon_H25 zenon_H1a0 zenon_H19d zenon_H246 zenon_H192 zenon_H18e zenon_H18a zenon_H16c zenon_H172 zenon_H179 zenon_H180 zenon_H186 zenon_H14b zenon_H154 zenon_H155 zenon_H15 zenon_H15a zenon_H15f.
% 54.76/54.99 apply (zenon_and_s _ _ zenon_H77). zenon_intro zenon_H57. zenon_intro zenon_H78.
% 54.76/54.99 apply (zenon_and_s _ _ zenon_H78). zenon_intro zenon_H121. zenon_intro zenon_Hda.
% 54.76/54.99 apply (zenon_and_s _ _ zenon_Hda). zenon_intro zenon_Hdc. zenon_intro zenon_Hdb.
% 54.76/54.99 apply (zenon_and_s _ _ zenon_Hdb). zenon_intro zenon_Hde. zenon_intro zenon_Hdd.
% 54.76/54.99 apply (zenon_and_s _ _ zenon_Hdd). zenon_intro zenon_Hd5. zenon_intro zenon_Hdf.
% 54.76/54.99 apply (zenon_or_s _ _ zenon_Hd5); [ zenon_intro zenon_Hd7 | zenon_intro zenon_Hd7 ].
% 54.76/54.99 apply (zenon_L585_); trivial.
% 54.76/54.99 apply (zenon_L585_); trivial.
% 54.76/54.99 (* end of lemma zenon_L586_ *)
% 54.76/54.99 assert (zenon_L587_ : (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e11)) = (e12))\/((op1 (e10) (e11)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e12) (e12)) = (e12))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> ((op1 (e11) (e11)) = (e12)) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((e12) = (e13))) -> ((op1 (e12) (e11)) = (e12)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> ((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) -> ((e10) = (op1 (e11) (e11))) -> ((e12) = (op1 (op1 (op1 (e11) (e11)) (op1 (e11) (e11))) (op1 (e11) (e11)))) -> (~((op1 (e12) (e13)) = (e12))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e12))\/((op1 (e11) (e10)) = (e13))))) -> ((e22) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> ((h2 (e12)) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> ((h2 (e11)) = (e21)) -> ((op2 (e21) (e22)) = (e22)) -> (~((h2 (op1 (e11) (e12))) = (op2 (h2 (e11)) (h2 (e12))))) -> ((op1 (e11) (op1 (e11) (e12))) = (e12)) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> ((op1 (e11) (op1 (e11) (e13))) = (e13)) -> False).
% 54.76/54.99 do 0 intro. intros zenon_H2c2 zenon_H2b9 zenon_H32b zenon_H25 zenon_H206 zenon_H19d zenon_H360 zenon_H2f8 zenon_H1fd zenon_H18a zenon_H301 zenon_H316 zenon_H1d1 zenon_H186 zenon_H204 zenon_H172 zenon_H179 zenon_H21a zenon_H23b zenon_H17 zenon_H358 zenon_H1b8 zenon_H2e7 zenon_H2ad zenon_H236 zenon_H202 zenon_H180 zenon_H15 zenon_H13 zenon_H155 zenon_H27d zenon_H1cc zenon_H1f7 zenon_H1e8 zenon_H15a zenon_H154 zenon_H1a9 zenon_H14b zenon_H15f zenon_H3f zenon_H44f zenon_H270 zenon_Hd4 zenon_H4a2 zenon_H375 zenon_H30e zenon_H32e zenon_H2c0 zenon_H29e.
% 54.76/54.99 apply (zenon_or_s _ _ zenon_H2c2); [ zenon_intro zenon_H159 | zenon_intro zenon_H2c3 ].
% 54.76/54.99 apply (zenon_L64_); trivial.
% 54.76/54.99 apply (zenon_or_s _ _ zenon_H2c3); [ zenon_intro zenon_H2b7 | zenon_intro zenon_H2c4 ].
% 54.76/54.99 apply (zenon_L489_); trivial.
% 54.76/54.99 apply (zenon_or_s _ _ zenon_H2c4); [ zenon_intro zenon_H1f3 | zenon_intro zenon_H234 ].
% 54.76/54.99 apply (zenon_L289_); trivial.
% 54.76/54.99 apply (zenon_L567_); trivial.
% 54.76/54.99 (* end of lemma zenon_L587_ *)
% 54.76/54.99 assert (zenon_L588_ : (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> ((op1 (e11) (op1 (e11) (e12))) = (e12)) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e12))\/((op1 (e11) (e10)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e12) (e13)) = (e12))) -> ((e12) = (op1 (op1 (op1 (e11) (e11)) (op1 (e11) (e11))) (op1 (e11) (e11)))) -> ((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> ((op1 (e12) (e11)) = (e12)) -> (~((e12) = (e13))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((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)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> ((e22) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> ((h2 (e12)) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> ((h2 (e11)) = (e21)) -> ((op2 (e21) (e22)) = (e22)) -> (~((h2 (op1 (e11) (e12))) = (op2 (h2 (e11)) (h2 (e12))))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> ((op1 (e11) (op1 (e11) (e10))) = (e10)) -> ((op1 (e12) (e10)) = (e10)) -> ((op1 (e11) (e10)) = (e11)) -> ((op1 (e10) (e12)) = (e10)) -> ((e10) = (op1 (e11) (e11))) -> (~((op1 (e12) (e12)) = (e11))) -> (~((op1 (e12) (e12)) = (e12))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> ((op1 (e11) (op1 (e11) (e13))) = (e13)) -> False).
% 54.76/54.99 do 0 intro. intros zenon_H1fa zenon_H2c0 zenon_H32e zenon_H30e zenon_H375 zenon_H15f zenon_H14b zenon_H1a9 zenon_H154 zenon_H15a zenon_H1e8 zenon_H1f7 zenon_H27d zenon_H155 zenon_H15 zenon_H180 zenon_H202 zenon_H236 zenon_H2ad zenon_H2e7 zenon_H358 zenon_H17 zenon_H23b zenon_H21a zenon_H179 zenon_H172 zenon_H204 zenon_H186 zenon_H316 zenon_H301 zenon_H18a zenon_H1fd zenon_H2f8 zenon_H360 zenon_H19d zenon_H206 zenon_H25 zenon_H32b zenon_H2b9 zenon_H2c2 zenon_H3f zenon_H44f zenon_H270 zenon_Hd4 zenon_H4a2 zenon_H1da zenon_H1de zenon_H292 zenon_H293 zenon_H163 zenon_H18f zenon_H13 zenon_H23f zenon_H1d1 zenon_H1cc zenon_H29e.
% 54.76/54.99 apply (zenon_or_s _ _ zenon_H1fa); [ zenon_intro zenon_H156 | zenon_intro zenon_H1fb ].
% 54.76/54.99 apply (zenon_L63_); trivial.
% 54.76/54.99 apply (zenon_or_s _ _ zenon_H1fb); [ zenon_intro zenon_H1b8 | zenon_intro zenon_H1fc ].
% 54.76/54.99 apply (zenon_L587_); trivial.
% 54.76/54.99 apply (zenon_or_s _ _ zenon_H1fc); [ zenon_intro zenon_H1c6 | zenon_intro zenon_H1ec ].
% 54.76/54.99 apply (zenon_L565_); trivial.
% 54.76/54.99 apply (zenon_L500_); trivial.
% 54.76/54.99 (* end of lemma zenon_L588_ *)
% 54.76/54.99 assert (zenon_L589_ : (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> ((op1 (e11) (op1 (e11) (e13))) = (e13)) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> ((op1 (e12) (e11)) = (e12)) -> (~((e12) = (e13))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((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)) = (op1 (e11) (e10)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e12)) = (e11))) -> ((op1 (e11) (op1 (e11) (e10))) = (e10)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> ((op1 (e11) (op1 (e11) (e11))) = (e11)) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e12))\/((op1 (e11) (e10)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> ((op1 (e11) (op1 (e11) (e12))) = (e12)) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e12) (e13)) = (e12))) -> (~((op1 (e12) (e12)) = (e12))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> ((e12) = (op1 (op1 (op1 (e11) (e11)) (op1 (e11) (e11))) (op1 (e11) (e11)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> ((e22) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> ((h2 (e12)) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> ((h2 (e11)) = (e21)) -> ((op2 (e21) (e22)) = (e22)) -> (~((h2 (op1 (e11) (e12))) = (op2 (h2 (e11)) (h2 (e12))))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e11) (e11)) = (e11))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> ((op1 (e12) (e10)) = (e10)) -> ((op1 (e10) (e12)) = (e10)) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> ((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) -> ((e10) = (op1 (e11) (e11))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> False).
% 54.76/54.99 do 0 intro. intros zenon_H1a0 zenon_H29e zenon_H18a zenon_H202 zenon_H236 zenon_H2e7 zenon_H2ad zenon_H1cc zenon_H2b9 zenon_H313 zenon_H2c2 zenon_H204 zenon_H316 zenon_H301 zenon_H1fd zenon_H2f8 zenon_H360 zenon_H19d zenon_H206 zenon_H15a zenon_H154 zenon_H2b1 zenon_H1d8 zenon_H23f zenon_H292 zenon_H2a3 zenon_H1da zenon_H2a6 zenon_H2a5 zenon_H14b zenon_H15f zenon_H1b1 zenon_H1be zenon_H180 zenon_H179 zenon_H172 zenon_H32e zenon_H375 zenon_H1ed zenon_H186 zenon_H30e zenon_H27d zenon_H1d1 zenon_H21a zenon_H155 zenon_H23b zenon_H32b zenon_H358 zenon_H1f7 zenon_H1e8 zenon_H1a9 zenon_H3f zenon_H44f zenon_H270 zenon_Hd4 zenon_H4a2 zenon_H2c0 zenon_H1fa zenon_H473 zenon_H1de zenon_H293 zenon_H18f zenon_H474 zenon_H17 zenon_H1e zenon_H15 zenon_H13 zenon_H25.
% 54.76/54.99 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_H1a3 | zenon_intro zenon_H1a2 ].
% 54.76/54.99 apply (zenon_or_s _ _ zenon_H474); [ zenon_intro zenon_H163 | zenon_intro zenon_H475 ].
% 54.76/54.99 apply (zenon_L588_); trivial.
% 54.76/54.99 apply (zenon_or_s _ _ zenon_H475); [ zenon_intro zenon_H1a7 | zenon_intro zenon_H476 ].
% 54.76/54.99 exact (zenon_H473 zenon_H1a7).
% 54.76/54.99 apply (zenon_or_s _ _ zenon_H476); [ zenon_intro zenon_H1a8 | zenon_intro zenon_H214 ].
% 54.76/54.99 apply (zenon_L82_); trivial.
% 54.76/54.99 apply (zenon_or_s _ _ zenon_H1fa); [ zenon_intro zenon_H156 | zenon_intro zenon_H1fb ].
% 54.76/54.99 apply (zenon_L63_); trivial.
% 54.76/54.99 apply (zenon_or_s _ _ zenon_H1fb); [ zenon_intro zenon_H1b8 | zenon_intro zenon_H1fc ].
% 54.76/54.99 apply (zenon_L587_); trivial.
% 54.76/54.99 apply (zenon_or_s _ _ zenon_H1fc); [ zenon_intro zenon_H1c6 | zenon_intro zenon_H1ec ].
% 54.76/54.99 apply (zenon_L506_); trivial.
% 54.76/54.99 apply (zenon_L508_); trivial.
% 54.76/54.99 apply (zenon_or_s _ _ zenon_H1a2); [ zenon_intro zenon_H16 | zenon_intro zenon_H1a4 ].
% 54.76/54.99 apply (zenon_L2_); trivial.
% 54.76/54.99 apply (zenon_or_s _ _ zenon_H1a4); [ zenon_intro zenon_H1d | zenon_intro zenon_H24 ].
% 54.76/54.99 apply (zenon_L3_); trivial.
% 54.76/54.99 apply (zenon_L4_); trivial.
% 54.76/54.99 (* end of lemma zenon_L589_ *)
% 54.76/54.99 assert (zenon_L590_ : (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (e20))) -> ((op2 (e20) (e21)) = (e21)) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> ((op2 (e21) (e22)) = (e23)) -> ((op2 (e21) (op2 (e21) (e22))) = (e22)) -> ((e23) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((e20) = (op2 (e21) (e21))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> False).
% 54.76/54.99 do 0 intro. intros zenon_H489 zenon_Had zenon_Hb9 zenon_H3c2 zenon_H3a8 zenon_H38e zenon_H481 zenon_H3b zenon_H33 zenon_H9f.
% 54.76/54.99 apply (zenon_or_s _ _ zenon_H489); [ zenon_intro zenon_H8b | zenon_intro zenon_H48a ].
% 54.76/54.99 exact (zenon_Had zenon_H8b).
% 54.76/54.99 apply (zenon_or_s _ _ zenon_H48a); [ zenon_intro zenon_H3c3 | zenon_intro zenon_H48b ].
% 54.76/54.99 apply (zenon_L352_); trivial.
% 54.76/54.99 apply (zenon_or_s _ _ zenon_H48b); [ zenon_intro zenon_H464 | zenon_intro zenon_H9e ].
% 54.76/54.99 apply (zenon_L516_); trivial.
% 54.76/54.99 apply (zenon_L27_); trivial.
% 54.76/54.99 (* end of lemma zenon_L590_ *)
% 54.76/54.99 assert (zenon_L591_ : (((op2 (e21) (e22)) = (e20))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e22)) = (e23))))) -> (~((op2 (e21) (e21)) = (op2 (e21) (e22)))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> (((op2 (e21) (e20)) = (e20))\/(((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e20)) = (e22))\/((op2 (e21) (e20)) = (e23))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> ((e10) = (op1 (e11) (e11))) -> ((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> ((op1 (e10) (e12)) = (e10)) -> ((op1 (e12) (e10)) = (e10)) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e11)) = (e11))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (~((h2 (op1 (e11) (e12))) = (op2 (h2 (e11)) (h2 (e12))))) -> ((h2 (e11)) = (e21)) -> ((h2 (e12)) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> ((e22) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> ((e12) = (op1 (op1 (op1 (e11) (e11)) (op1 (e11) (e11))) (op1 (e11) (e11)))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e12) (e12)) = (e12))) -> (~((op1 (e12) (e13)) = (e12))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> ((op1 (e11) (op1 (e11) (e12))) = (e12)) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e12))\/((op1 (e11) (e10)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> ((op1 (e11) (op1 (e11) (e11))) = (e11)) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> ((op1 (e11) (op1 (e11) (e10))) = (e10)) -> (~((op1 (e12) (e12)) = (e11))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e11)) = (e12))\/((op1 (e10) (e11)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e11) (e11)) = (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 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((e12) = (e13))) -> ((op1 (e12) (e11)) = (e12)) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> ((op1 (e11) (op1 (e11) (e13))) = (e13)) -> (((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))))) -> (~((op2 (e20) (e23)) = (e20))) -> ((op2 (e20) (e21)) = (e21)) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> ((op2 (e21) (op2 (e21) (e22))) = (e22)) -> ((e23) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((e20) = (op2 (e21) (e21))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> False).
% 54.76/54.99 do 0 intro. intros zenon_H40f zenon_H7a zenon_H45 zenon_H3e zenon_Hc5 zenon_H32 zenon_H4a zenon_H25 zenon_H13 zenon_H15 zenon_H1e zenon_H17 zenon_H474 zenon_H18f zenon_H293 zenon_H1de zenon_H473 zenon_H1fa zenon_H2c0 zenon_H4a2 zenon_H270 zenon_H44f zenon_H3f zenon_H1a9 zenon_H1e8 zenon_H1f7 zenon_H358 zenon_H32b zenon_H23b zenon_H155 zenon_H21a zenon_H1d1 zenon_H27d zenon_H30e zenon_H186 zenon_H1ed zenon_H375 zenon_H32e zenon_H172 zenon_H179 zenon_H180 zenon_H1be zenon_H1b1 zenon_H15f zenon_H14b zenon_H2a5 zenon_H2a6 zenon_H1da zenon_H2a3 zenon_H292 zenon_H23f zenon_H1d8 zenon_H2b1 zenon_H154 zenon_H15a zenon_H206 zenon_H19d zenon_H360 zenon_H2f8 zenon_H1fd zenon_H301 zenon_H316 zenon_H204 zenon_H2c2 zenon_H313 zenon_H2b9 zenon_H1cc zenon_H2ad zenon_H2e7 zenon_H236 zenon_H202 zenon_H18a zenon_H29e zenon_H1a0 zenon_H489 zenon_Had zenon_Hb9 zenon_H3c2 zenon_H3a8 zenon_H481 zenon_H3b zenon_H33 zenon_H9f.
% 54.76/54.99 apply (zenon_or_s _ _ zenon_H40f); [ zenon_intro zenon_H79 | zenon_intro zenon_H410 ].
% 54.76/54.99 apply (zenon_L20_); trivial.
% 54.76/54.99 apply (zenon_or_s _ _ zenon_H410); [ zenon_intro zenon_Hc4 | zenon_intro zenon_H411 ].
% 54.76/55.00 apply (zenon_L34_); trivial.
% 54.76/55.00 apply (zenon_or_s _ _ zenon_H411); [ zenon_intro zenon_Hd4 | zenon_intro zenon_H38e ].
% 54.76/55.00 apply (zenon_L589_); trivial.
% 54.76/55.00 apply (zenon_L590_); trivial.
% 54.76/55.00 (* end of lemma zenon_L591_ *)
% 54.76/55.00 assert (zenon_L592_ : ((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13)))) -> (~((op2 (e21) (e21)) = (op2 (e21) (e22)))) -> ((e20) = (op2 (e21) (e21))) -> (((op2 (e21) (e20)) = (e20))\/(((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e20)) = (e22))\/((op2 (e21) (e20)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> ((e23) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((e22) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> ((op1 (e11) (op1 (e11) (e10))) = (e10)) -> ((op1 (e12) (e10)) = (e10)) -> ((op1 (e10) (e12)) = (e10)) -> (~((op1 (e12) (e12)) = (e11))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e11)) = (e12))\/((op1 (e10) (e11)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e12) (e12)) = (e12))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> ((op1 (e11) (op1 (e11) (e13))) = (e13)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> ((op1 (e12) (e11)) = (e12)) -> (~((e12) = (e13))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> ((op1 (e11) (op1 (e11) (e12))) = (e12)) -> ((h2 (e11)) = (e21)) -> ((h2 (e12)) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> (~((h2 (op1 (e11) (e12))) = (op2 (h2 (e11)) (h2 (e12))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e12))\/((op1 (e11) (e10)) = (e13))))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> ((e10) = (op1 (e11) (e11))) -> ((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) -> ((e12) = (op1 (op1 (op1 (e11) (e11)) (op1 (e11) (e11))) (op1 (e11) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e11) (e11)) = (e11))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> ((op1 (e11) (op1 (e11) (e11))) = (e11)) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> ((op2 (e21) (op2 (e21) (e22))) = (e22)) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> ((op2 (e20) (e21)) = (e21)) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e23)) = (e20))) -> (((op2 (e21) (e22)) = (e20))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e22)) = (e23))))) -> False).
% 54.76/55.00 do 0 intro. intros zenon_H22c zenon_H7a zenon_H33 zenon_H4a zenon_H45 zenon_H3b zenon_H3f zenon_H3e zenon_Hc5 zenon_H32 zenon_H1a0 zenon_H1e zenon_H1fa zenon_H1de zenon_H292 zenon_H293 zenon_H18f zenon_H23f zenon_H1da zenon_H15a zenon_H2e7 zenon_H25 zenon_H30e zenon_H2b9 zenon_H206 zenon_H17 zenon_H21a zenon_H186 zenon_H180 zenon_H179 zenon_H204 zenon_H1d1 zenon_H23b zenon_H301 zenon_H2f8 zenon_H29e zenon_H172 zenon_H1fd zenon_H18a zenon_H1cc zenon_H360 zenon_H316 zenon_H19d zenon_H32b zenon_H202 zenon_H236 zenon_H2ad zenon_H358 zenon_H2c0 zenon_H1f7 zenon_H375 zenon_H270 zenon_H44f zenon_H4a2 zenon_H14b zenon_H1a9 zenon_H15f zenon_H1e8 zenon_H32e zenon_H2c2 zenon_H13 zenon_H15 zenon_H155 zenon_H154 zenon_H473 zenon_H1be zenon_H1d8 zenon_H2a3 zenon_H2a5 zenon_H2a6 zenon_H2b1 zenon_H1b1 zenon_H1ed zenon_H313 zenon_H474 zenon_H489 zenon_H9f zenon_H481 zenon_H3a8 zenon_Hb9 zenon_H3c2 zenon_Had zenon_H40f.
% 54.76/55.00 apply (zenon_or_s _ _ zenon_H22c); [ zenon_intro zenon_H27d | zenon_intro zenon_H29d ].
% 54.76/55.00 apply (zenon_L591_); trivial.
% 54.76/55.00 apply (zenon_L144_); trivial.
% 54.76/55.00 (* end of lemma zenon_L592_ *)
% 54.76/55.00 assert (zenon_L593_ : (((op1 (e11) (e10)) = (e11))/\(((op1 (e10) (e11)) = (e11))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11))))/\(((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12))))/\((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13))))))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op2 (e21) (e21)) = (op2 (e21) (e22)))) -> ((e20) = (op2 (e21) (e21))) -> (((op2 (e21) (e20)) = (e20))\/(((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e20)) = (e22))\/((op2 (e21) (e20)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> ((e23) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((e22) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> ((e10) = (op1 (e11) (e11))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e12))\/((op1 (e11) (e10)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> ((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) -> ((e12) = (op1 (op1 (op1 (e11) (e11)) (op1 (e11) (e11))) (op1 (e11) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (~((h2 (op1 (e11) (e12))) = (op2 (h2 (e11)) (h2 (e12))))) -> ((h2 (e12)) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> ((h2 (e11)) = (e21)) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> ((op1 (e11) (op1 (e11) (e12))) = (e12)) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> ((op2 (e21) (op2 (e21) (e22))) = (e22)) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> ((op2 (e20) (e21)) = (e21)) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e23)) = (e20))) -> (((op2 (e21) (e22)) = (e20))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e22)) = (e23))))) -> False).
% 54.76/55.00 do 0 intro. intros zenon_H259 zenon_H17 zenon_H1e zenon_H1a0 zenon_H7a zenon_H33 zenon_H4a zenon_H45 zenon_H3b zenon_H3f zenon_H3e zenon_Hc5 zenon_H32 zenon_H328 zenon_H25 zenon_H1e8 zenon_H13 zenon_H15f zenon_H15a zenon_H15 zenon_H155 zenon_H154 zenon_H1a9 zenon_H14b zenon_H4a2 zenon_H44f zenon_H270 zenon_H30e zenon_H375 zenon_H1f7 zenon_H485 zenon_H489 zenon_H9f zenon_H481 zenon_H3a8 zenon_Hb9 zenon_H3c2 zenon_Had zenon_H40f.
% 54.76/55.00 apply (zenon_and_s _ _ zenon_H259). zenon_intro zenon_H163. zenon_intro zenon_H25a.
% 54.76/55.00 apply (zenon_and_s _ _ zenon_H25a). zenon_intro zenon_H1fe. zenon_intro zenon_H149.
% 54.76/55.00 apply (zenon_and_s _ _ zenon_H149). zenon_intro zenon_H144. zenon_intro zenon_H14a.
% 54.76/55.00 apply (zenon_and_s _ _ zenon_H14a). zenon_intro zenon_H25c. zenon_intro zenon_H25b.
% 54.76/55.00 apply (zenon_and_s _ _ zenon_H25b). zenon_intro zenon_H25e. zenon_intro zenon_H25d.
% 54.76/55.00 apply (zenon_or_s _ _ zenon_H25d); [ zenon_intro zenon_H25f | zenon_intro zenon_H1a1 ].
% 54.76/55.00 apply (zenon_or_s _ _ zenon_H40f); [ zenon_intro zenon_H79 | zenon_intro zenon_H410 ].
% 54.76/55.00 apply (zenon_L20_); trivial.
% 54.76/55.00 apply (zenon_or_s _ _ zenon_H410); [ zenon_intro zenon_Hc4 | zenon_intro zenon_H411 ].
% 54.76/55.00 apply (zenon_L34_); trivial.
% 54.76/55.00 apply (zenon_or_s _ _ zenon_H411); [ zenon_intro zenon_Hd4 | zenon_intro zenon_H38e ].
% 54.76/55.00 apply (zenon_L581_); trivial.
% 54.76/55.00 apply (zenon_L590_); trivial.
% 54.76/55.00 apply (zenon_L79_); trivial.
% 54.76/55.00 (* end of lemma zenon_L593_ *)
% 54.76/55.00 assert (zenon_L594_ : ((((op1 (e10) (e10)) = (e10))/\(((op1 (e10) (e10)) = (e10))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11))))/\(((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12))))/\((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))))))))\/((((op1 (e10) (e11)) = (e10))/\(((op1 (e11) (e10)) = (e10))/\(((~((op1 (e11) (e10)) = (e11)))\/(~((op1 (e11) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e11) (e12)) = (e11)))\/(~((op1 (e11) (e11)) = (e12))))/\((~((op1 (e11) (e13)) = (e11)))\/(~((op1 (e11) (e11)) = (e13)))))))))\/((((op1 (e10) (e12)) = (e10))/\(((op1 (e12) (e10)) = (e10))/\(((~((op1 (e12) (e10)) = (e12)))\/(~((op1 (e12) (e12)) = (e10))))/\(((~((op1 (e12) (e11)) = (e12)))\/(~((op1 (e12) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13)))))))))\/((((op1 (e10) (e13)) = (e10))/\(((op1 (e13) (e10)) = (e10))/\(((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e13) (e13)) = (e10))))/\(((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11))))/\(((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e13) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13)))))))))\/((((op1 (e11) (e10)) = (e11))/\(((op1 (e10) (e11)) = (e11))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11))))/\(((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12))))/\((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))))))))\/((((op1 (e11) (e11)) = (e11))/\(((op1 (e11) (e11)) = (e11))/\(((~((op1 (e11) (e10)) = (e11)))\/(~((op1 (e11) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e11) (e12)) = (e11)))\/(~((op1 (e11) (e11)) = (e12))))/\((~((op1 (e11) (e13)) = (e11)))\/(~((op1 (e11) (e11)) = (e13)))))))))\/((((op1 (e11) (e12)) = (e11))/\(((op1 (e12) (e11)) = (e11))/\(((~((op1 (e12) (e10)) = (e12)))\/(~((op1 (e12) (e12)) = (e10))))/\(((~((op1 (e12) (e11)) = (e12)))\/(~((op1 (e12) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13)))))))))\/((((op1 (e11) (e13)) = (e11))/\(((op1 (e13) (e11)) = (e11))/\(((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e13) (e13)) = (e10))))/\(((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11))))/\(((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e13) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13)))))))))\/((((op1 (e12) (e10)) = (e12))/\(((op1 (e10) (e12)) = (e12))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11))))/\(((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12))))/\((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))))))))\/((((op1 (e12) (e11)) = (e12))/\(((op1 (e11) (e12)) = (e12))/\(((~((op1 (e11) (e10)) = (e11)))\/(~((op1 (e11) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e11) (e12)) = (e11)))\/(~((op1 (e11) (e11)) = (e12))))/\((~((op1 (e11) (e13)) = (e11)))\/(~((op1 (e11) (e11)) = (e13)))))))))\/((((op1 (e12) (e12)) = (e12))/\(((op1 (e12) (e12)) = (e12))/\(((~((op1 (e12) (e10)) = (e12)))\/(~((op1 (e12) (e12)) = (e10))))/\(((~((op1 (e12) (e11)) = (e12)))\/(~((op1 (e12) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13)))))))))\/((((op1 (e12) (e13)) = (e12))/\(((op1 (e13) (e12)) = (e12))/\(((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e13) (e13)) = (e10))))/\(((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11))))/\(((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e13) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13)))))))))\/((((op1 (e13) (e10)) = (e13))/\(((op1 (e10) (e13)) = (e13))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11))))/\(((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12))))/\((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))))))))\/((((op1 (e13) (e11)) = (e13))/\(((op1 (e11) (e13)) = (e13))/\(((~((op1 (e11) (e10)) = (e11)))\/(~((op1 (e11) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e11) (e12)) = (e11)))\/(~((op1 (e11) (e11)) = (e12))))/\((~((op1 (e11) (e13)) = (e11)))\/(~((op1 (e11) (e11)) = (e13)))))))))\/((((op1 (e13) (e12)) = (e13))/\(((op1 (e12) (e13)) = (e13))/\(((~((op1 (e12) (e10)) = (e12)))\/(~((op1 (e12) (e12)) = (e10))))/\(((~((op1 (e12) (e11)) = (e12)))\/(~((op1 (e12) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13)))))))))\/(((op1 (e13) (e13)) = (e13))/\(((op1 (e13) (e13)) = (e13))/\(((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e13) (e13)) = (e10))))/\(((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11))))/\(((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e13) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13)))))))))))))))))))))))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> ((op1 (e11) (op1 (e11) (e11))) = (e11)) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e11) (e11)) = (e11))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((e12) = (e13))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> ((op1 (e11) (op1 (e11) (e10))) = (e10)) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((e10) = (e12))) -> (((op2 (e21) (e22)) = (e20))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e22)) = (e23))))) -> (~((op2 (e20) (e23)) = (e20))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> ((op2 (e20) (e21)) = (e21)) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> ((op2 (e21) (op2 (e21) (e22))) = (e22)) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> ((op1 (e11) (op1 (e11) (e12))) = (e12)) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> ((h2 (e11)) = (e21)) -> ((h2 (e12)) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> (~((h2 (op1 (e11) (e12))) = (op2 (h2 (e11)) (h2 (e12))))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> ((e22) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> ((e23) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (((op2 (e21) (e20)) = (e20))\/(((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e20)) = (e22))\/((op2 (e21) (e20)) = (e23))))) -> ((e20) = (op2 (e21) (e21))) -> (~((op2 (e21) (e21)) = (op2 (e21) (e22)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e11)) = (e12))\/((op1 (e10) (e11)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> ((op1 (e12) (e11)) = (e12)) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e12))\/((op1 (e11) (e10)) = (e13))))) -> ((e12) = (op1 (op1 (op1 (e11) (e11)) (op1 (e11) (e11))) (op1 (e11) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> ((op1 (e11) (op1 (e11) (e13))) = (e13)) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> ((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) -> ((e10) = (op1 (e11) (e11))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> False).
% 54.76/55.00 do 0 intro. intros zenon_H245 zenon_H474 zenon_H313 zenon_H1ed zenon_H1b1 zenon_H2b1 zenon_H2a6 zenon_H2a5 zenon_H2a3 zenon_H1d8 zenon_H1be zenon_H473 zenon_H32e zenon_H358 zenon_H2ad zenon_H236 zenon_H32b zenon_H316 zenon_H360 zenon_H1cc zenon_H18a zenon_H2f8 zenon_H301 zenon_H23b zenon_H2e7 zenon_H1da zenon_H292 zenon_H1de zenon_H1fa zenon_H16c zenon_H40f zenon_Had zenon_H3c2 zenon_Hb9 zenon_H3a8 zenon_H481 zenon_H9f zenon_H489 zenon_H485 zenon_H1f7 zenon_H375 zenon_H30e zenon_H270 zenon_H44f zenon_H4a2 zenon_H1e8 zenon_H328 zenon_H32 zenon_Hc5 zenon_H3e zenon_H3f zenon_H3b zenon_H45 zenon_H4a zenon_H33 zenon_H7a zenon_H1a0 zenon_H1e zenon_H1a9 zenon_H180 zenon_H172 zenon_H206 zenon_H19d zenon_H1fd zenon_H202 zenon_H204 zenon_H17 zenon_H186 zenon_H21a zenon_H179 zenon_H25 zenon_H15f zenon_H155 zenon_H154 zenon_H14b zenon_H29e zenon_H2c0 zenon_H1f4 zenon_H15 zenon_H13 zenon_H2b9 zenon_H15a zenon_H2c2.
% 54.76/55.00 apply (zenon_or_s _ _ zenon_H245); [ zenon_intro zenon_H147 | zenon_intro zenon_H254 ].
% 54.76/55.00 apply (zenon_L60_); trivial.
% 54.76/55.00 apply (zenon_or_s _ _ zenon_H254); [ zenon_intro zenon_H164 | zenon_intro zenon_H255 ].
% 54.76/55.00 apply (zenon_L66_); trivial.
% 54.76/55.00 apply (zenon_or_s _ _ zenon_H255); [ zenon_intro zenon_H197 | zenon_intro zenon_H256 ].
% 54.76/55.00 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_H18f. zenon_intro zenon_H198.
% 54.76/55.00 apply (zenon_and_s _ _ zenon_H198). zenon_intro zenon_H293. zenon_intro zenon_H227.
% 54.76/55.00 apply (zenon_and_s _ _ zenon_H227). zenon_intro zenon_H229. zenon_intro zenon_H228.
% 54.76/55.00 apply (zenon_and_s _ _ zenon_H228). zenon_intro zenon_H22b. zenon_intro zenon_H22a.
% 54.76/55.00 apply (zenon_and_s _ _ zenon_H22a). zenon_intro zenon_H224. zenon_intro zenon_H22c.
% 54.76/55.00 apply (zenon_or_s _ _ zenon_H22b); [ zenon_intro zenon_H23c | zenon_intro zenon_H23f ].
% 54.76/55.00 exact (zenon_H23c zenon_H202).
% 54.76/55.00 apply (zenon_or_s _ _ zenon_H224); [ zenon_intro zenon_H1d1 | zenon_intro zenon_H1d1 ].
% 54.76/55.00 apply (zenon_L592_); trivial.
% 54.76/55.00 apply (zenon_L592_); trivial.
% 54.76/55.00 apply (zenon_or_s _ _ zenon_H256); [ zenon_intro zenon_H199 | zenon_intro zenon_H257 ].
% 54.76/55.00 apply (zenon_L77_); trivial.
% 54.76/55.00 apply (zenon_or_s _ _ zenon_H257); [ zenon_intro zenon_H259 | zenon_intro zenon_H258 ].
% 54.76/55.00 apply (zenon_L593_); trivial.
% 54.76/55.00 apply (zenon_or_s _ _ zenon_H258); [ zenon_intro zenon_H1a5 | zenon_intro zenon_H262 ].
% 54.76/55.00 apply (zenon_L80_); trivial.
% 54.76/55.00 apply (zenon_or_s _ _ zenon_H262); [ zenon_intro zenon_H1ae | zenon_intro zenon_H263 ].
% 54.76/55.00 apply (zenon_L83_); trivial.
% 54.76/55.00 apply (zenon_or_s _ _ zenon_H263); [ zenon_intro zenon_H212 | zenon_intro zenon_H264 ].
% 54.76/55.00 apply (zenon_L169_); trivial.
% 54.76/55.00 apply (zenon_or_s _ _ zenon_H264); [ zenon_intro zenon_H220 | zenon_intro zenon_H265 ].
% 54.76/55.00 apply (zenon_L110_); trivial.
% 54.76/55.00 apply (zenon_or_s _ _ zenon_H265); [ zenon_intro zenon_H222 | zenon_intro zenon_H266 ].
% 54.76/55.00 apply (zenon_L111_); trivial.
% 54.76/55.00 apply (zenon_or_s _ _ zenon_H266); [ zenon_intro zenon_H225 | zenon_intro zenon_H267 ].
% 54.76/55.00 apply (zenon_L113_); trivial.
% 54.76/55.00 apply (zenon_or_s _ _ zenon_H267); [ zenon_intro zenon_H22d | zenon_intro zenon_H268 ].
% 54.76/55.00 apply (zenon_L114_); trivial.
% 54.76/55.00 apply (zenon_or_s _ _ zenon_H268); [ zenon_intro zenon_H230 | zenon_intro zenon_H269 ].
% 54.76/55.00 apply (zenon_L115_); trivial.
% 54.76/55.00 apply (zenon_or_s _ _ zenon_H269); [ zenon_intro zenon_H232 | zenon_intro zenon_H26a ].
% 54.76/55.00 apply (zenon_L116_); trivial.
% 54.76/55.00 apply (zenon_or_s _ _ zenon_H26a); [ zenon_intro zenon_H240 | zenon_intro zenon_H242 ].
% 54.76/55.00 apply (zenon_L166_); trivial.
% 54.76/55.00 apply (zenon_L125_); trivial.
% 54.76/55.00 (* end of lemma zenon_L594_ *)
% 54.76/55.00 assert (zenon_L595_ : (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> ((e10) = (op1 (e11) (e11))) -> ((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> ((op1 (e11) (op1 (e11) (e13))) = (e13)) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> ((e12) = (op1 (op1 (op1 (e11) (e11)) (op1 (e11) (e11))) (op1 (e11) (e11)))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e12))\/((op1 (e11) (e10)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e11)) = (e12))\/((op1 (e10) (e11)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op2 (e21) (e21)) = (op2 (e21) (e22)))) -> ((e20) = (op2 (e21) (e21))) -> (((op2 (e21) (e20)) = (e20))\/(((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e20)) = (e22))\/((op2 (e21) (e20)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> ((e23) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((e22) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (~((h2 (op1 (e11) (e12))) = (op2 (h2 (e11)) (h2 (e12))))) -> ((h2 (e12)) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> ((h2 (e11)) = (e21)) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> ((op1 (e11) (op1 (e11) (e12))) = (e12)) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> ((op2 (e21) (op2 (e21) (e22))) = (e22)) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> ((op2 (e20) (e21)) = (e21)) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e23)) = (e20))) -> (((op2 (e21) (e22)) = (e20))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e22)) = (e23))))) -> (~((e10) = (e12))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> ((op1 (e11) (op1 (e11) (e10))) = (e10)) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((e12) = (e13))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e11) (e11)) = (e11))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> ((op1 (e11) (op1 (e11) (e11))) = (e11)) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> ((((op1 (e10) (e10)) = (e10))/\(((op1 (e10) (e10)) = (e10))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11))))/\(((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12))))/\((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))))))))\/((((op1 (e10) (e11)) = (e10))/\(((op1 (e11) (e10)) = (e10))/\(((~((op1 (e11) (e10)) = (e11)))\/(~((op1 (e11) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e11) (e12)) = (e11)))\/(~((op1 (e11) (e11)) = (e12))))/\((~((op1 (e11) (e13)) = (e11)))\/(~((op1 (e11) (e11)) = (e13)))))))))\/((((op1 (e10) (e12)) = (e10))/\(((op1 (e12) (e10)) = (e10))/\(((~((op1 (e12) (e10)) = (e12)))\/(~((op1 (e12) (e12)) = (e10))))/\(((~((op1 (e12) (e11)) = (e12)))\/(~((op1 (e12) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13)))))))))\/((((op1 (e10) (e13)) = (e10))/\(((op1 (e13) (e10)) = (e10))/\(((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e13) (e13)) = (e10))))/\(((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11))))/\(((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e13) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13)))))))))\/((((op1 (e11) (e10)) = (e11))/\(((op1 (e10) (e11)) = (e11))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11))))/\(((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12))))/\((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))))))))\/((((op1 (e11) (e11)) = (e11))/\(((op1 (e11) (e11)) = (e11))/\(((~((op1 (e11) (e10)) = (e11)))\/(~((op1 (e11) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e11) (e12)) = (e11)))\/(~((op1 (e11) (e11)) = (e12))))/\((~((op1 (e11) (e13)) = (e11)))\/(~((op1 (e11) (e11)) = (e13)))))))))\/((((op1 (e11) (e12)) = (e11))/\(((op1 (e12) (e11)) = (e11))/\(((~((op1 (e12) (e10)) = (e12)))\/(~((op1 (e12) (e12)) = (e10))))/\(((~((op1 (e12) (e11)) = (e12)))\/(~((op1 (e12) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13)))))))))\/((((op1 (e11) (e13)) = (e11))/\(((op1 (e13) (e11)) = (e11))/\(((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e13) (e13)) = (e10))))/\(((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11))))/\(((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e13) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13)))))))))\/((((op1 (e12) (e10)) = (e12))/\(((op1 (e10) (e12)) = (e12))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11))))/\(((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12))))/\((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))))))))\/((((op1 (e12) (e11)) = (e12))/\(((op1 (e11) (e12)) = (e12))/\(((~((op1 (e11) (e10)) = (e11)))\/(~((op1 (e11) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e11) (e12)) = (e11)))\/(~((op1 (e11) (e11)) = (e12))))/\((~((op1 (e11) (e13)) = (e11)))\/(~((op1 (e11) (e11)) = (e13)))))))))\/((((op1 (e12) (e12)) = (e12))/\(((op1 (e12) (e12)) = (e12))/\(((~((op1 (e12) (e10)) = (e12)))\/(~((op1 (e12) (e12)) = (e10))))/\(((~((op1 (e12) (e11)) = (e12)))\/(~((op1 (e12) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13)))))))))\/((((op1 (e12) (e13)) = (e12))/\(((op1 (e13) (e12)) = (e12))/\(((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e13) (e13)) = (e10))))/\(((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11))))/\(((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e13) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13)))))))))\/((((op1 (e13) (e10)) = (e13))/\(((op1 (e10) (e13)) = (e13))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11))))/\(((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12))))/\((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))))))))\/((((op1 (e13) (e11)) = (e13))/\(((op1 (e11) (e13)) = (e13))/\(((~((op1 (e11) (e10)) = (e11)))\/(~((op1 (e11) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e11) (e12)) = (e11)))\/(~((op1 (e11) (e11)) = (e12))))/\((~((op1 (e11) (e13)) = (e11)))\/(~((op1 (e11) (e11)) = (e13)))))))))\/((((op1 (e13) (e12)) = (e13))/\(((op1 (e12) (e13)) = (e13))/\(((~((op1 (e12) (e10)) = (e12)))\/(~((op1 (e12) (e12)) = (e10))))/\(((~((op1 (e12) (e11)) = (e12)))\/(~((op1 (e12) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13)))))))))\/(((op1 (e13) (e13)) = (e13))/\(((op1 (e13) (e13)) = (e13))/\(((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e13) (e13)) = (e10))))/\(((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11))))/\(((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e13) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13)))))))))))))))))))))))) -> (~((op1 (e12) (e12)) = (e12))) -> (~((op1 (e12) (e13)) = (e12))) -> False).
% 54.76/55.00 do 0 intro. intros zenon_H2c2 zenon_H15a zenon_H2b9 zenon_H13 zenon_H15 zenon_H1f4 zenon_H2c0 zenon_H29e zenon_H14b zenon_H154 zenon_H155 zenon_H15f zenon_H25 zenon_H179 zenon_H21a zenon_H186 zenon_H17 zenon_H204 zenon_H1fd zenon_H19d zenon_H206 zenon_H172 zenon_H180 zenon_H1a9 zenon_H1e zenon_H1a0 zenon_H7a zenon_H33 zenon_H4a zenon_H45 zenon_H3b zenon_H3f zenon_H3e zenon_Hc5 zenon_H32 zenon_H328 zenon_H1e8 zenon_H4a2 zenon_H44f zenon_H270 zenon_H30e zenon_H375 zenon_H1f7 zenon_H485 zenon_H489 zenon_H9f zenon_H481 zenon_H3a8 zenon_Hb9 zenon_H3c2 zenon_Had zenon_H40f zenon_H16c zenon_H1fa zenon_H1de zenon_H292 zenon_H1da zenon_H2e7 zenon_H23b zenon_H301 zenon_H2f8 zenon_H18a zenon_H1cc zenon_H360 zenon_H316 zenon_H32b zenon_H236 zenon_H2ad zenon_H358 zenon_H32e zenon_H473 zenon_H1be zenon_H1d8 zenon_H2a3 zenon_H2a5 zenon_H2a6 zenon_H2b1 zenon_H1b1 zenon_H1ed zenon_H313 zenon_H474 zenon_H245 zenon_H1d1 zenon_H27d.
% 54.76/55.00 apply (zenon_or_s _ _ zenon_H23b); [ zenon_intro zenon_H21b | zenon_intro zenon_H23d ].
% 54.76/55.00 apply (zenon_L109_); trivial.
% 54.76/55.00 apply (zenon_or_s _ _ zenon_H23d); [ zenon_intro zenon_H202 | zenon_intro zenon_H23e ].
% 54.76/55.00 apply (zenon_L594_); trivial.
% 54.76/55.00 apply (zenon_or_s _ _ zenon_H23e); [ zenon_intro zenon_H1cb | zenon_intro zenon_H22f ].
% 54.76/55.00 exact (zenon_H1d1 zenon_H1cb).
% 54.76/55.00 exact (zenon_H27d zenon_H22f).
% 54.76/55.00 (* end of lemma zenon_L595_ *)
% 54.76/55.00 assert (zenon_L596_ : ((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13)))) -> (~((op1 (e12) (e12)) = (e11))) -> ((op1 (e10) (e12)) = (e10)) -> ((op1 (e12) (e10)) = (e10)) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> ((e12) = (op1 (op1 (op1 (e11) (e11)) (op1 (e11) (e11))) (op1 (e11) (e11)))) -> ((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) -> ((e10) = (op1 (e11) (e11))) -> ((((op1 (e10) (e10)) = (e10))/\(((op1 (e10) (e10)) = (e10))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11))))/\(((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12))))/\((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))))))))\/((((op1 (e10) (e11)) = (e10))/\(((op1 (e11) (e10)) = (e10))/\(((~((op1 (e11) (e10)) = (e11)))\/(~((op1 (e11) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e11) (e12)) = (e11)))\/(~((op1 (e11) (e11)) = (e12))))/\((~((op1 (e11) (e13)) = (e11)))\/(~((op1 (e11) (e11)) = (e13)))))))))\/((((op1 (e10) (e12)) = (e10))/\(((op1 (e12) (e10)) = (e10))/\(((~((op1 (e12) (e10)) = (e12)))\/(~((op1 (e12) (e12)) = (e10))))/\(((~((op1 (e12) (e11)) = (e12)))\/(~((op1 (e12) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13)))))))))\/((((op1 (e10) (e13)) = (e10))/\(((op1 (e13) (e10)) = (e10))/\(((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e13) (e13)) = (e10))))/\(((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11))))/\(((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e13) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13)))))))))\/((((op1 (e11) (e10)) = (e11))/\(((op1 (e10) (e11)) = (e11))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11))))/\(((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12))))/\((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))))))))\/((((op1 (e11) (e11)) = (e11))/\(((op1 (e11) (e11)) = (e11))/\(((~((op1 (e11) (e10)) = (e11)))\/(~((op1 (e11) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e11) (e12)) = (e11)))\/(~((op1 (e11) (e11)) = (e12))))/\((~((op1 (e11) (e13)) = (e11)))\/(~((op1 (e11) (e11)) = (e13)))))))))\/((((op1 (e11) (e12)) = (e11))/\(((op1 (e12) (e11)) = (e11))/\(((~((op1 (e12) (e10)) = (e12)))\/(~((op1 (e12) (e12)) = (e10))))/\(((~((op1 (e12) (e11)) = (e12)))\/(~((op1 (e12) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13)))))))))\/((((op1 (e11) (e13)) = (e11))/\(((op1 (e13) (e11)) = (e11))/\(((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e13) (e13)) = (e10))))/\(((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11))))/\(((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e13) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13)))))))))\/((((op1 (e12) (e10)) = (e12))/\(((op1 (e10) (e12)) = (e12))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11))))/\(((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12))))/\((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))))))))\/((((op1 (e12) (e11)) = (e12))/\(((op1 (e11) (e12)) = (e12))/\(((~((op1 (e11) (e10)) = (e11)))\/(~((op1 (e11) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e11) (e12)) = (e11)))\/(~((op1 (e11) (e11)) = (e12))))/\((~((op1 (e11) (e13)) = (e11)))\/(~((op1 (e11) (e11)) = (e13)))))))))\/((((op1 (e12) (e12)) = (e12))/\(((op1 (e12) (e12)) = (e12))/\(((~((op1 (e12) (e10)) = (e12)))\/(~((op1 (e12) (e12)) = (e10))))/\(((~((op1 (e12) (e11)) = (e12)))\/(~((op1 (e12) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13)))))))))\/((((op1 (e12) (e13)) = (e12))/\(((op1 (e13) (e12)) = (e12))/\(((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e13) (e13)) = (e10))))/\(((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11))))/\(((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e13) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13)))))))))\/((((op1 (e13) (e10)) = (e13))/\(((op1 (e10) (e13)) = (e13))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11))))/\(((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12))))/\((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))))))))\/((((op1 (e13) (e11)) = (e13))/\(((op1 (e11) (e13)) = (e13))/\(((~((op1 (e11) (e10)) = (e11)))\/(~((op1 (e11) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e11) (e12)) = (e11)))\/(~((op1 (e11) (e11)) = (e12))))/\((~((op1 (e11) (e13)) = (e11)))\/(~((op1 (e11) (e11)) = (e13)))))))))\/((((op1 (e13) (e12)) = (e13))/\(((op1 (e12) (e13)) = (e13))/\(((~((op1 (e12) (e10)) = (e12)))\/(~((op1 (e12) (e12)) = (e10))))/\(((~((op1 (e12) (e11)) = (e12)))\/(~((op1 (e12) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13)))))))))\/(((op1 (e13) (e13)) = (e13))/\(((op1 (e13) (e13)) = (e13))/\(((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e13) (e13)) = (e10))))/\(((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11))))/\(((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e13) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13)))))))))))))))))))))))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (~((e10) = (e12))) -> (~((op2 (e21) (e21)) = (op2 (e21) (e22)))) -> ((e20) = (op2 (e21) (e21))) -> (((op2 (e21) (e20)) = (e20))\/(((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e20)) = (e22))\/((op2 (e21) (e20)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> ((e23) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((e22) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> ((op1 (e11) (op1 (e11) (e10))) = (e10)) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e11)) = (e12))\/((op1 (e10) (e11)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> ((op1 (e11) (op1 (e11) (e13))) = (e13)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((e12) = (e13))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> ((op1 (e11) (op1 (e11) (e12))) = (e12)) -> ((h2 (e11)) = (e21)) -> ((h2 (e12)) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> (~((h2 (op1 (e11) (e12))) = (op2 (h2 (e11)) (h2 (e12))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e11) (e11)) = (e11))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> ((op1 (e11) (op1 (e11) (e11))) = (e11)) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> ((op2 (e21) (op2 (e21) (e22))) = (e22)) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> ((op2 (e20) (e21)) = (e21)) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e23)) = (e20))) -> (((op2 (e21) (e22)) = (e20))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e22)) = (e23))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e12))\/((op1 (e11) (e10)) = (e13))))) -> (~((op1 (e12) (e12)) = (e12))) -> False).
% 54.76/55.00 do 0 intro. intros zenon_H22c zenon_H23f zenon_H18f zenon_H293 zenon_H21a zenon_H155 zenon_H15 zenon_H13 zenon_H245 zenon_H1f4 zenon_H328 zenon_H485 zenon_H16c zenon_H7a zenon_H33 zenon_H4a zenon_H45 zenon_H3b zenon_H3f zenon_H3e zenon_Hc5 zenon_H32 zenon_H1a0 zenon_H1e zenon_H1fa zenon_H1de zenon_H292 zenon_H1da zenon_H2e7 zenon_H25 zenon_H30e zenon_H2b9 zenon_H206 zenon_H17 zenon_H186 zenon_H180 zenon_H179 zenon_H204 zenon_H23b zenon_H301 zenon_H2f8 zenon_H29e zenon_H172 zenon_H1fd zenon_H18a zenon_H1cc zenon_H360 zenon_H316 zenon_H19d zenon_H32b zenon_H236 zenon_H2ad zenon_H358 zenon_H2c0 zenon_H1f7 zenon_H375 zenon_H270 zenon_H44f zenon_H4a2 zenon_H1a9 zenon_H1e8 zenon_H32e zenon_H2c2 zenon_H473 zenon_H1be zenon_H1d8 zenon_H2a3 zenon_H2a5 zenon_H2a6 zenon_H2b1 zenon_H1b1 zenon_H1ed zenon_H313 zenon_H474 zenon_H489 zenon_H9f zenon_H481 zenon_H3a8 zenon_Hb9 zenon_H3c2 zenon_Had zenon_H40f zenon_H14b zenon_H154 zenon_H15a zenon_H15f zenon_H1d1.
% 54.76/55.00 apply (zenon_or_s _ _ zenon_H22c); [ zenon_intro zenon_H27d | zenon_intro zenon_H29d ].
% 54.76/55.00 apply (zenon_L595_); trivial.
% 54.76/55.00 apply (zenon_L144_); trivial.
% 54.76/55.00 (* end of lemma zenon_L596_ *)
% 54.76/55.00 assert (zenon_L597_ : (((op1 (e10) (e12)) = (e10))/\(((op1 (e12) (e10)) = (e10))/\(((~((op1 (e12) (e10)) = (e12)))\/(~((op1 (e12) (e12)) = (e10))))/\(((~((op1 (e12) (e11)) = (e12)))\/(~((op1 (e12) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13))))))))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e12))\/((op1 (e11) (e10)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op2 (e21) (e22)) = (e20))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e22)) = (e23))))) -> (~((op2 (e20) (e23)) = (e20))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> ((op2 (e20) (e21)) = (e21)) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> ((op2 (e21) (op2 (e21) (e22))) = (e22)) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> ((op1 (e11) (op1 (e11) (e11))) = (e11)) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e11) (e11)) = (e11))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((h2 (op1 (e11) (e12))) = (op2 (h2 (e11)) (h2 (e12))))) -> ((h2 (e12)) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> ((h2 (e11)) = (e21)) -> ((op1 (e11) (op1 (e11) (e12))) = (e12)) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((e12) = (e13))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> ((op1 (e11) (op1 (e11) (e13))) = (e13)) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (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 (e12) (e11)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e11)) = (e12))\/((op1 (e10) (e11)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> ((op1 (e11) (op1 (e11) (e10))) = (e10)) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> ((e22) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> ((e23) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (((op2 (e21) (e20)) = (e20))\/(((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e20)) = (e22))\/((op2 (e21) (e20)) = (e23))))) -> ((e20) = (op2 (e21) (e21))) -> (~((op2 (e21) (e21)) = (op2 (e21) (e22)))) -> (~((e10) = (e12))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> ((((op1 (e10) (e10)) = (e10))/\(((op1 (e10) (e10)) = (e10))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11))))/\(((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12))))/\((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))))))))\/((((op1 (e10) (e11)) = (e10))/\(((op1 (e11) (e10)) = (e10))/\(((~((op1 (e11) (e10)) = (e11)))\/(~((op1 (e11) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e11) (e12)) = (e11)))\/(~((op1 (e11) (e11)) = (e12))))/\((~((op1 (e11) (e13)) = (e11)))\/(~((op1 (e11) (e11)) = (e13)))))))))\/((((op1 (e10) (e12)) = (e10))/\(((op1 (e12) (e10)) = (e10))/\(((~((op1 (e12) (e10)) = (e12)))\/(~((op1 (e12) (e12)) = (e10))))/\(((~((op1 (e12) (e11)) = (e12)))\/(~((op1 (e12) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13)))))))))\/((((op1 (e10) (e13)) = (e10))/\(((op1 (e13) (e10)) = (e10))/\(((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e13) (e13)) = (e10))))/\(((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11))))/\(((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e13) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13)))))))))\/((((op1 (e11) (e10)) = (e11))/\(((op1 (e10) (e11)) = (e11))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11))))/\(((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12))))/\((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))))))))\/((((op1 (e11) (e11)) = (e11))/\(((op1 (e11) (e11)) = (e11))/\(((~((op1 (e11) (e10)) = (e11)))\/(~((op1 (e11) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e11) (e12)) = (e11)))\/(~((op1 (e11) (e11)) = (e12))))/\((~((op1 (e11) (e13)) = (e11)))\/(~((op1 (e11) (e11)) = (e13)))))))))\/((((op1 (e11) (e12)) = (e11))/\(((op1 (e12) (e11)) = (e11))/\(((~((op1 (e12) (e10)) = (e12)))\/(~((op1 (e12) (e12)) = (e10))))/\(((~((op1 (e12) (e11)) = (e12)))\/(~((op1 (e12) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13)))))))))\/((((op1 (e11) (e13)) = (e11))/\(((op1 (e13) (e11)) = (e11))/\(((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e13) (e13)) = (e10))))/\(((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11))))/\(((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e13) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13)))))))))\/((((op1 (e12) (e10)) = (e12))/\(((op1 (e10) (e12)) = (e12))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11))))/\(((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12))))/\((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))))))))\/((((op1 (e12) (e11)) = (e12))/\(((op1 (e11) (e12)) = (e12))/\(((~((op1 (e11) (e10)) = (e11)))\/(~((op1 (e11) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e11) (e12)) = (e11)))\/(~((op1 (e11) (e11)) = (e12))))/\((~((op1 (e11) (e13)) = (e11)))\/(~((op1 (e11) (e11)) = (e13)))))))))\/((((op1 (e12) (e12)) = (e12))/\(((op1 (e12) (e12)) = (e12))/\(((~((op1 (e12) (e10)) = (e12)))\/(~((op1 (e12) (e12)) = (e10))))/\(((~((op1 (e12) (e11)) = (e12)))\/(~((op1 (e12) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13)))))))))\/((((op1 (e12) (e13)) = (e12))/\(((op1 (e13) (e12)) = (e12))/\(((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e13) (e13)) = (e10))))/\(((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11))))/\(((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e13) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13)))))))))\/((((op1 (e13) (e10)) = (e13))/\(((op1 (e10) (e13)) = (e13))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11))))/\(((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12))))/\((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))))))))\/((((op1 (e13) (e11)) = (e13))/\(((op1 (e11) (e13)) = (e13))/\(((~((op1 (e11) (e10)) = (e11)))\/(~((op1 (e11) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e11) (e12)) = (e11)))\/(~((op1 (e11) (e11)) = (e12))))/\((~((op1 (e11) (e13)) = (e11)))\/(~((op1 (e11) (e11)) = (e13)))))))))\/((((op1 (e13) (e12)) = (e13))/\(((op1 (e12) (e13)) = (e13))/\(((~((op1 (e12) (e10)) = (e12)))\/(~((op1 (e12) (e12)) = (e10))))/\(((~((op1 (e12) (e11)) = (e12)))\/(~((op1 (e12) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13)))))))))\/(((op1 (e13) (e13)) = (e13))/\(((op1 (e13) (e13)) = (e13))/\(((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e13) (e13)) = (e10))))/\(((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11))))/\(((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e13) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13)))))))))))))))))))))))) -> ((e10) = (op1 (e11) (e11))) -> ((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) -> ((e12) = (op1 (op1 (op1 (e11) (e11)) (op1 (e11) (e11))) (op1 (e11) (e11)))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e12) (e12)) = (e11))) -> False).
% 54.76/55.00 do 0 intro. intros zenon_H197 zenon_H15f zenon_H15a zenon_H154 zenon_H14b zenon_H40f zenon_Had zenon_H3c2 zenon_Hb9 zenon_H3a8 zenon_H481 zenon_H9f zenon_H489 zenon_H474 zenon_H313 zenon_H1ed zenon_H1b1 zenon_H2b1 zenon_H2a6 zenon_H2a5 zenon_H2a3 zenon_H1d8 zenon_H1be zenon_H473 zenon_H2c2 zenon_H32e zenon_H1e8 zenon_H1a9 zenon_H4a2 zenon_H44f zenon_H270 zenon_H375 zenon_H1f7 zenon_H2c0 zenon_H358 zenon_H2ad zenon_H236 zenon_H32b zenon_H19d zenon_H316 zenon_H360 zenon_H1cc zenon_H18a zenon_H1fd zenon_H172 zenon_H29e zenon_H2f8 zenon_H301 zenon_H23b zenon_H204 zenon_H179 zenon_H180 zenon_H186 zenon_H17 zenon_H206 zenon_H2b9 zenon_H30e zenon_H25 zenon_H2e7 zenon_H1da zenon_H292 zenon_H1de zenon_H1fa zenon_H1e zenon_H1a0 zenon_H32 zenon_Hc5 zenon_H3e zenon_H3f zenon_H3b zenon_H45 zenon_H4a zenon_H33 zenon_H7a zenon_H16c zenon_H485 zenon_H328 zenon_H1f4 zenon_H245 zenon_H13 zenon_H15 zenon_H155 zenon_H21a zenon_H23f.
% 54.76/55.00 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_H18f. zenon_intro zenon_H198.
% 54.76/55.00 apply (zenon_and_s _ _ zenon_H198). zenon_intro zenon_H293. zenon_intro zenon_H227.
% 54.76/55.00 apply (zenon_and_s _ _ zenon_H227). zenon_intro zenon_H229. zenon_intro zenon_H228.
% 54.76/55.00 apply (zenon_and_s _ _ zenon_H228). zenon_intro zenon_H22b. zenon_intro zenon_H22a.
% 54.76/55.00 apply (zenon_and_s _ _ zenon_H22a). zenon_intro zenon_H224. zenon_intro zenon_H22c.
% 54.76/55.00 apply (zenon_or_s _ _ zenon_H224); [ zenon_intro zenon_H1d1 | zenon_intro zenon_H1d1 ].
% 54.76/55.00 apply (zenon_L596_); trivial.
% 54.76/55.00 apply (zenon_L596_); trivial.
% 54.76/55.00 (* end of lemma zenon_L597_ *)
% 54.76/55.00 assert (zenon_L598_ : (((op2 (e21) (e20)) = (e21))/\(((op2 (e20) (e21)) = (e21))/\(((~((op2 (e20) (e20)) = (e20)))\/(~((op2 (e20) (e20)) = (e20))))/\(((~((op2 (e20) (e21)) = (e20)))\/(~((op2 (e20) (e20)) = (e21))))/\(((~((op2 (e20) (e22)) = (e20)))\/(~((op2 (e20) (e20)) = (e22))))/\((~((op2 (e20) (e23)) = (e20)))\/(~((op2 (e20) (e20)) = (e23))))))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e22)))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e20) (e21)) = (e23))\/(((op2 (e20) (e22)) = (e23))\/((op2 (e20) (e23)) = (e23))))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e12))\/((op1 (e11) (e10)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> ((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) -> ((e12) = (op1 (op1 (op1 (e11) (e11)) (op1 (e11) (e11))) (op1 (e11) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((e10) = (e12))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e11)) = (e12))\/((op1 (e10) (e11)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (((op1 (e13) (e13)) = (e10))\/(((op1 (e13) (e13)) = (e11))\/(((op1 (e13) (e13)) = (e12))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (~((e12) = (e13))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> ((((op1 (e10) (e10)) = (e10))/\(((op1 (e10) (e10)) = (e10))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11))))/\(((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12))))/\((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))))))))\/((((op1 (e10) (e11)) = (e10))/\(((op1 (e11) (e10)) = (e10))/\(((~((op1 (e11) (e10)) = (e11)))\/(~((op1 (e11) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e11) (e12)) = (e11)))\/(~((op1 (e11) (e11)) = (e12))))/\((~((op1 (e11) (e13)) = (e11)))\/(~((op1 (e11) (e11)) = (e13)))))))))\/((((op1 (e10) (e12)) = (e10))/\(((op1 (e12) (e10)) = (e10))/\(((~((op1 (e12) (e10)) = (e12)))\/(~((op1 (e12) (e12)) = (e10))))/\(((~((op1 (e12) (e11)) = (e12)))\/(~((op1 (e12) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13)))))))))\/((((op1 (e10) (e13)) = (e10))/\(((op1 (e13) (e10)) = (e10))/\(((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e13) (e13)) = (e10))))/\(((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11))))/\(((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e13) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13)))))))))\/((((op1 (e11) (e10)) = (e11))/\(((op1 (e10) (e11)) = (e11))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11))))/\(((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12))))/\((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))))))))\/((((op1 (e11) (e11)) = (e11))/\(((op1 (e11) (e11)) = (e11))/\(((~((op1 (e11) (e10)) = (e11)))\/(~((op1 (e11) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e11) (e12)) = (e11)))\/(~((op1 (e11) (e11)) = (e12))))/\((~((op1 (e11) (e13)) = (e11)))\/(~((op1 (e11) (e11)) = (e13)))))))))\/((((op1 (e11) (e12)) = (e11))/\(((op1 (e12) (e11)) = (e11))/\(((~((op1 (e12) (e10)) = (e12)))\/(~((op1 (e12) (e12)) = (e10))))/\(((~((op1 (e12) (e11)) = (e12)))\/(~((op1 (e12) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13)))))))))\/((((op1 (e11) (e13)) = (e11))/\(((op1 (e13) (e11)) = (e11))/\(((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e13) (e13)) = (e10))))/\(((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11))))/\(((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e13) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13)))))))))\/((((op1 (e12) (e10)) = (e12))/\(((op1 (e10) (e12)) = (e12))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11))))/\(((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12))))/\((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))))))))\/((((op1 (e12) (e11)) = (e12))/\(((op1 (e11) (e12)) = (e12))/\(((~((op1 (e11) (e10)) = (e11)))\/(~((op1 (e11) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e11) (e12)) = (e11)))\/(~((op1 (e11) (e11)) = (e12))))/\((~((op1 (e11) (e13)) = (e11)))\/(~((op1 (e11) (e11)) = (e13)))))))))\/((((op1 (e12) (e12)) = (e12))/\(((op1 (e12) (e12)) = (e12))/\(((~((op1 (e12) (e10)) = (e12)))\/(~((op1 (e12) (e12)) = (e10))))/\(((~((op1 (e12) (e11)) = (e12)))\/(~((op1 (e12) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13)))))))))\/((((op1 (e12) (e13)) = (e12))/\(((op1 (e13) (e12)) = (e12))/\(((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e13) (e13)) = (e10))))/\(((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11))))/\(((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e13) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13)))))))))\/((((op1 (e13) (e10)) = (e13))/\(((op1 (e10) (e13)) = (e13))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11))))/\(((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12))))/\((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))))))))\/((((op1 (e13) (e11)) = (e13))/\(((op1 (e11) (e13)) = (e13))/\(((~((op1 (e11) (e10)) = (e11)))\/(~((op1 (e11) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e11) (e12)) = (e11)))\/(~((op1 (e11) (e11)) = (e12))))/\((~((op1 (e11) (e13)) = (e11)))\/(~((op1 (e11) (e11)) = (e13)))))))))\/((((op1 (e13) (e12)) = (e13))/\(((op1 (e12) (e13)) = (e13))/\(((~((op1 (e12) (e10)) = (e12)))\/(~((op1 (e12) (e12)) = (e10))))/\(((~((op1 (e12) (e11)) = (e12)))\/(~((op1 (e12) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13)))))))))\/(((op1 (e13) (e13)) = (e13))/\(((op1 (e13) (e13)) = (e13))/\(((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e13) (e13)) = (e10))))/\(((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11))))/\(((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e13) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13)))))))))))))))))))))))) -> ((e10) = (op1 (e11) (e11))) -> (((op2 (e21) (e22)) = (e20))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e22)) = (e23))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> ((op2 (e21) (op2 (e21) (e22))) = (e22)) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((h2 (op1 (e11) (e12))) = (op2 (h2 (e11)) (h2 (e12))))) -> ((h2 (e12)) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> ((h2 (e11)) = (e21)) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> ((e22) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> ((e23) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (((op2 (e21) (e20)) = (e20))\/(((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e20)) = (e22))\/((op2 (e21) (e20)) = (e23))))) -> ((e20) = (op2 (e21) (e21))) -> (~((op2 (e21) (e21)) = (op2 (e21) (e22)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (((op1 (e10) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e12) (e11)) = (e13))))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e12) (e13)) = (e10))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> ((((op1 (e10) (op1 (e10) (e10))) = (e10))/\(((op1 (e10) (op1 (e10) (e11))) = (e11))/\(((op1 (e10) (op1 (e10) (e12))) = (e12))/\(((op1 (e10) (op1 (e10) (e13))) = (e13))/\(((~((op1 (e10) (e10)) = (e10)))\/((op1 (e10) (e10)) = (e10)))/\(((~((op1 (e11) (e11)) = (e10)))\/((op1 (e11) (e10)) = (e11)))/\(((~((op1 (e12) (e12)) = (e10)))\/((op1 (e12) (e10)) = (e12)))/\((~((op1 (e13) (e13)) = (e10)))\/((op1 (e13) (e10)) = (e13))))))))))\/((((op1 (e11) (op1 (e11) (e10))) = (e10))/\(((op1 (e11) (op1 (e11) (e11))) = (e11))/\(((op1 (e11) (op1 (e11) (e12))) = (e12))/\(((op1 (e11) (op1 (e11) (e13))) = (e13))/\(((~((op1 (e10) (e10)) = (e11)))\/((op1 (e10) (e11)) = (e10)))/\(((~((op1 (e11) (e11)) = (e11)))\/((op1 (e11) (e11)) = (e11)))/\(((~((op1 (e12) (e12)) = (e11)))\/((op1 (e12) (e11)) = (e12)))/\((~((op1 (e13) (e13)) = (e11)))\/((op1 (e13) (e11)) = (e13))))))))))\/((((op1 (e12) (op1 (e12) (e10))) = (e10))/\(((op1 (e12) (op1 (e12) (e11))) = (e11))/\(((op1 (e12) (op1 (e12) (e12))) = (e12))/\(((op1 (e12) (op1 (e12) (e13))) = (e13))/\(((~((op1 (e10) (e10)) = (e12)))\/((op1 (e10) (e12)) = (e10)))/\(((~((op1 (e11) (e11)) = (e12)))\/((op1 (e11) (e12)) = (e11)))/\(((~((op1 (e12) (e12)) = (e12)))\/((op1 (e12) (e12)) = (e12)))/\((~((op1 (e13) (e13)) = (e12)))\/((op1 (e13) (e12)) = (e13))))))))))\/(((op1 (e13) (op1 (e13) (e10))) = (e10))/\(((op1 (e13) (op1 (e13) (e11))) = (e11))/\(((op1 (e13) (op1 (e13) (e12))) = (e12))/\(((op1 (e13) (op1 (e13) (e13))) = (e13))/\(((~((op1 (e10) (e10)) = (e13)))\/((op1 (e10) (e13)) = (e10)))/\(((~((op1 (e11) (e11)) = (e13)))\/((op1 (e11) (e13)) = (e11)))/\(((~((op1 (e12) (e12)) = (e13)))\/((op1 (e12) (e13)) = (e12)))/\((~((op1 (e13) (e13)) = (e13)))\/((op1 (e13) (e13)) = (e13))))))))))))) -> False).
% 54.76/55.00 do 0 intro. intros zenon_Hb6 zenon_H93 zenon_H98 zenon_Ha5 zenon_H15f zenon_H15a zenon_H15 zenon_H155 zenon_H154 zenon_H14b zenon_H186 zenon_H180 zenon_H179 zenon_H172 zenon_H16c zenon_H18a zenon_H18e zenon_H192 zenon_H246 zenon_H19d zenon_H1a0 zenon_H25 zenon_H1e zenon_H17 zenon_H1a9 zenon_H209 zenon_H206 zenon_H204 zenon_H1fd zenon_H1fa zenon_H1f7 zenon_H1f4 zenon_H1ed zenon_H1e8 zenon_H1da zenon_H1d8 zenon_H1cc zenon_H1de zenon_H1b1 zenon_H1be zenon_H20c zenon_H21a zenon_H236 zenon_H23b zenon_H245 zenon_H13 zenon_H40f zenon_H3c2 zenon_H3a8 zenon_H481 zenon_H9f zenon_H489 zenon_H474 zenon_H313 zenon_H2b1 zenon_H2a5 zenon_H2a3 zenon_H2c2 zenon_H32e zenon_H4a2 zenon_H44f zenon_H270 zenon_H2c0 zenon_H358 zenon_H2ad zenon_H32b zenon_H316 zenon_H360 zenon_H2f8 zenon_H301 zenon_H2b9 zenon_H30e zenon_H2e7 zenon_H32 zenon_Hc5 zenon_H3e zenon_H3f zenon_H3b zenon_H45 zenon_H4a zenon_H33 zenon_H7a zenon_H485 zenon_H328 zenon_H2fd zenon_H2fb zenon_H2f6 zenon_H325 zenon_H322 zenon_H321 zenon_H30b zenon_H2ea zenon_H2e2 zenon_H2e6 zenon_H2d9 zenon_H2c9 zenon_H2d1 zenon_H35d zenon_H345 zenon_H355 zenon_H36e.
% 54.76/55.00 apply (zenon_and_s _ _ zenon_Hb6). zenon_intro zenon_H4e. zenon_intro zenon_Hb8.
% 54.76/55.00 apply (zenon_and_s _ _ zenon_Hb8). zenon_intro zenon_Hb9. zenon_intro zenon_H2e.
% 54.76/55.00 apply (zenon_and_s _ _ zenon_H2e). zenon_intro zenon_H30. zenon_intro zenon_H2f.
% 54.76/55.00 apply (zenon_and_s _ _ zenon_H2f). zenon_intro zenon_Hbb. zenon_intro zenon_Hba.
% 54.76/55.00 apply (zenon_and_s _ _ zenon_Hba). zenon_intro zenon_Hbc. zenon_intro zenon_Haa.
% 54.76/55.00 apply (zenon_or_s _ _ zenon_Haa); [ zenon_intro zenon_Had | zenon_intro zenon_Ha6 ].
% 54.76/55.00 apply (zenon_or_s _ _ zenon_H36e); [ zenon_intro zenon_H244 | zenon_intro zenon_H36f ].
% 54.76/55.00 apply (zenon_L126_); trivial.
% 54.76/55.00 apply (zenon_or_s _ _ zenon_H36f); [ zenon_intro zenon_H371 | zenon_intro zenon_H370 ].
% 54.76/55.00 apply (zenon_and_s _ _ zenon_H371). zenon_intro zenon_H292. zenon_intro zenon_H372.
% 54.76/55.00 apply (zenon_and_s _ _ zenon_H372). zenon_intro zenon_H2a6. zenon_intro zenon_H373.
% 54.76/55.00 apply (zenon_and_s _ _ zenon_H373). zenon_intro zenon_H375. zenon_intro zenon_H374.
% 54.76/55.00 apply (zenon_and_s _ _ zenon_H374). zenon_intro zenon_H29e. zenon_intro zenon_H376.
% 54.76/55.00 apply (zenon_and_s _ _ zenon_H376). zenon_intro zenon_H378. zenon_intro zenon_H377.
% 54.76/55.00 apply (zenon_and_s _ _ zenon_H377). zenon_intro zenon_H37a. zenon_intro zenon_H379.
% 54.76/55.00 apply (zenon_and_s _ _ zenon_H379). zenon_intro zenon_H37c. zenon_intro zenon_H37b.
% 54.76/55.00 apply (zenon_or_s _ _ zenon_H37a); [ zenon_intro zenon_H473 | zenon_intro zenon_H1a7 ].
% 54.76/55.00 apply (zenon_or_s _ _ zenon_H37c); [ zenon_intro zenon_H23f | zenon_intro zenon_H202 ].
% 54.76/55.00 apply (zenon_or_s _ _ zenon_H37b); [ zenon_intro zenon_H20d | zenon_intro zenon_H1c3 ].
% 54.76/55.00 apply (zenon_or_s _ _ zenon_H245); [ zenon_intro zenon_H147 | zenon_intro zenon_H254 ].
% 54.76/55.00 apply (zenon_L60_); trivial.
% 54.76/55.00 apply (zenon_or_s _ _ zenon_H254); [ zenon_intro zenon_H164 | zenon_intro zenon_H255 ].
% 54.76/55.00 apply (zenon_L66_); trivial.
% 54.76/55.00 apply (zenon_or_s _ _ zenon_H255); [ zenon_intro zenon_H197 | zenon_intro zenon_H256 ].
% 54.76/55.00 apply (zenon_L597_); trivial.
% 54.76/55.00 apply (zenon_or_s _ _ zenon_H256); [ zenon_intro zenon_H199 | zenon_intro zenon_H257 ].
% 54.76/55.00 apply (zenon_L77_); trivial.
% 54.76/55.00 apply (zenon_or_s _ _ zenon_H257); [ zenon_intro zenon_H259 | zenon_intro zenon_H258 ].
% 54.76/55.00 apply (zenon_L593_); trivial.
% 54.76/55.00 apply (zenon_or_s _ _ zenon_H258); [ zenon_intro zenon_H1a5 | zenon_intro zenon_H262 ].
% 54.76/55.00 apply (zenon_L80_); trivial.
% 54.76/55.00 apply (zenon_or_s _ _ zenon_H262); [ zenon_intro zenon_H1ae | zenon_intro zenon_H263 ].
% 54.76/55.00 apply (zenon_L83_); trivial.
% 54.76/55.00 apply (zenon_or_s _ _ zenon_H263); [ zenon_intro zenon_H212 | zenon_intro zenon_H264 ].
% 54.76/55.00 apply (zenon_L161_); trivial.
% 54.76/55.00 apply (zenon_or_s _ _ zenon_H264); [ zenon_intro zenon_H220 | zenon_intro zenon_H265 ].
% 54.76/55.00 apply (zenon_L110_); trivial.
% 54.76/55.00 apply (zenon_or_s _ _ zenon_H265); [ zenon_intro zenon_H222 | zenon_intro zenon_H266 ].
% 54.76/55.00 apply (zenon_L111_); trivial.
% 54.76/55.00 apply (zenon_or_s _ _ zenon_H266); [ zenon_intro zenon_H225 | zenon_intro zenon_H267 ].
% 54.76/55.00 apply (zenon_L113_); trivial.
% 54.76/55.00 apply (zenon_or_s _ _ zenon_H267); [ zenon_intro zenon_H22d | zenon_intro zenon_H268 ].
% 54.76/55.00 apply (zenon_L114_); trivial.
% 54.76/55.00 apply (zenon_or_s _ _ zenon_H268); [ zenon_intro zenon_H230 | zenon_intro zenon_H269 ].
% 54.76/55.00 apply (zenon_L115_); trivial.
% 54.76/55.00 apply (zenon_or_s _ _ zenon_H269); [ zenon_intro zenon_H232 | zenon_intro zenon_H26a ].
% 54.76/55.00 apply (zenon_L116_); trivial.
% 54.76/55.00 apply (zenon_or_s _ _ zenon_H26a); [ zenon_intro zenon_H240 | zenon_intro zenon_H242 ].
% 54.76/55.00 apply (zenon_L166_); trivial.
% 54.76/55.00 apply (zenon_L125_); trivial.
% 54.76/55.00 apply (zenon_or_s _ _ zenon_H245); [ zenon_intro zenon_H147 | zenon_intro zenon_H254 ].
% 54.76/55.00 apply (zenon_L60_); trivial.
% 54.76/55.00 apply (zenon_or_s _ _ zenon_H254); [ zenon_intro zenon_H164 | zenon_intro zenon_H255 ].
% 54.76/55.00 apply (zenon_L66_); trivial.
% 54.76/55.00 apply (zenon_or_s _ _ zenon_H255); [ zenon_intro zenon_H197 | zenon_intro zenon_H256 ].
% 54.76/55.00 apply (zenon_L597_); trivial.
% 54.76/55.00 apply (zenon_or_s _ _ zenon_H256); [ zenon_intro zenon_H199 | zenon_intro zenon_H257 ].
% 54.76/55.00 apply (zenon_L77_); trivial.
% 54.76/55.00 apply (zenon_or_s _ _ zenon_H257); [ zenon_intro zenon_H259 | zenon_intro zenon_H258 ].
% 54.76/55.00 apply (zenon_L593_); trivial.
% 54.76/55.00 apply (zenon_or_s _ _ zenon_H258); [ zenon_intro zenon_H1a5 | zenon_intro zenon_H262 ].
% 54.76/55.00 apply (zenon_L80_); trivial.
% 54.76/55.00 apply (zenon_or_s _ _ zenon_H262); [ zenon_intro zenon_H1ae | zenon_intro zenon_H263 ].
% 54.76/55.00 apply (zenon_L83_); trivial.
% 54.76/55.00 apply (zenon_or_s _ _ zenon_H263); [ zenon_intro zenon_H212 | zenon_intro zenon_H264 ].
% 54.76/55.00 apply (zenon_L167_); trivial.
% 54.76/55.00 apply (zenon_or_s _ _ zenon_H264); [ zenon_intro zenon_H220 | zenon_intro zenon_H265 ].
% 54.76/55.00 apply (zenon_L110_); trivial.
% 54.76/55.00 apply (zenon_or_s _ _ zenon_H265); [ zenon_intro zenon_H222 | zenon_intro zenon_H266 ].
% 54.76/55.00 apply (zenon_L111_); trivial.
% 54.76/55.00 apply (zenon_or_s _ _ zenon_H266); [ zenon_intro zenon_H225 | zenon_intro zenon_H267 ].
% 54.76/55.00 apply (zenon_L113_); trivial.
% 54.76/55.00 apply (zenon_or_s _ _ zenon_H267); [ zenon_intro zenon_H22d | zenon_intro zenon_H268 ].
% 54.76/55.00 apply (zenon_L114_); trivial.
% 54.76/55.00 apply (zenon_or_s _ _ zenon_H268); [ zenon_intro zenon_H230 | zenon_intro zenon_H269 ].
% 54.76/55.00 apply (zenon_L115_); trivial.
% 54.76/55.00 apply (zenon_or_s _ _ zenon_H269); [ zenon_intro zenon_H232 | zenon_intro zenon_H26a ].
% 54.76/55.00 apply (zenon_L116_); trivial.
% 54.76/55.00 apply (zenon_or_s _ _ zenon_H26a); [ zenon_intro zenon_H240 | zenon_intro zenon_H242 ].
% 54.76/55.00 apply (zenon_L166_); trivial.
% 54.76/55.00 apply (zenon_L125_); trivial.
% 54.76/55.00 apply (zenon_L594_); trivial.
% 54.76/55.00 apply (zenon_L532_); trivial.
% 54.76/55.00 apply (zenon_or_s _ _ zenon_H370); [ zenon_intro zenon_H335 | zenon_intro zenon_H363 ].
% 54.76/55.00 apply (zenon_L260_); trivial.
% 54.76/55.00 apply (zenon_L307_); trivial.
% 54.76/55.00 apply (zenon_L28_); trivial.
% 54.76/55.00 (* end of lemma zenon_L598_ *)
% 54.76/55.00 assert (zenon_L599_ : ((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13)))) -> (~((op2 (e20) (e20)) = (e21))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e20) (e21)) = (e23))\/(((op2 (e20) (e22)) = (e23))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e22)))) -> (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> (~((op2 (e22) (e23)) = (e22))) -> (~((op2 (e22) (e22)) = (e22))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> (((op2 (e21) (e20)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/((op2 (e21) (e23)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (~((op2 (e21) (e22)) = (op2 (e21) (e23)))) -> ((op2 (e21) (op2 (e21) (e23))) = (e23)) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e21)) = (e22))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (((op2 (e22) (e20)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e22) (e23)) = (e23))))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> ((op2 (e22) (e20)) = (e20)) -> (~((op2 (e22) (e22)) = (e21))) -> (((op2 (e22) (e22)) = (e20))\/(((op2 (e22) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e22)) = (e23))))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (~((e22) = (e23))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> (((op2 (e20) (e21)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e23) (e21)) = (e22))))) -> (~((op2 (e21) (e21)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> ((op1 (e11) (op1 (e11) (e10))) = (e10)) -> ((op1 (e12) (e10)) = (e10)) -> ((op1 (e10) (e12)) = (e10)) -> (~((op1 (e12) (e12)) = (e11))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((e12) = (e13))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> ((op1 (e11) (op1 (e11) (e13))) = (e13)) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e12) (e12)) = (e12))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e11)) = (e12))\/((op1 (e10) (e11)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e12))\/((op1 (e11) (e10)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (~((h2 (op1 (e11) (e12))) = (op2 (h2 (e11)) (h2 (e12))))) -> ((h2 (e12)) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> ((h2 (e11)) = (e21)) -> ((op1 (e11) (op1 (e11) (e12))) = (e12)) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> ((e10) = (op1 (e11) (e11))) -> ((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) -> ((e12) = (op1 (op1 (op1 (e11) (e11)) (op1 (e11) (e11))) (op1 (e11) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e11) (e11)) = (e11))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> ((op1 (e11) (op1 (e11) (e11))) = (e11)) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (((op2 (e21) (e22)) = (e20))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e22)) = (e23))))) -> ((e20) = (op2 (e21) (e21))) -> ((e23) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((e22) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e21) (e21)) = (e21))) -> (~((e21) = (e22))) -> ((op2 (e22) (e21)) = (e22)) -> (((op2 (e20) (e21)) = (e20))\/(((op2 (e20) (e21)) = (e21))\/(((op2 (e20) (e21)) = (e22))\/((op2 (e20) (e21)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> ((op2 (e21) (op2 (e21) (e21))) = (e21)) -> (((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e21))\/((op2 (e23) (e20)) = (e21))))) -> False).
% 54.76/55.00 do 0 intro. intros zenon_H22c zenon_H49d zenon_Ha5 zenon_H98 zenon_H4ae zenon_Hf1 zenon_H281 zenon_Hd7 zenon_H286 zenon_Hb0 zenon_H399 zenon_H9f zenon_H47a zenon_H395 zenon_H116 zenon_H3b1 zenon_H3af zenon_H60 zenon_H282 zenon_H39d zenon_H3b4 zenon_H45 zenon_H3f1 zenon_H37d zenon_H121 zenon_H101 zenon_H100 zenon_H47c zenon_Hec zenon_H11f zenon_H3fd zenon_H7a zenon_Hc5 zenon_H1a0 zenon_H1e zenon_H1fa zenon_H1de zenon_H292 zenon_H293 zenon_H18f zenon_H23f zenon_H1da zenon_H15a zenon_H2ad zenon_H236 zenon_H32b zenon_H19d zenon_H316 zenon_H360 zenon_H1cc zenon_H18a zenon_H1fd zenon_H172 zenon_H29e zenon_H2f8 zenon_H301 zenon_H23b zenon_H1d1 zenon_H204 zenon_H179 zenon_H180 zenon_H186 zenon_H17 zenon_H206 zenon_H2b9 zenon_H30e zenon_H25 zenon_H2e7 zenon_H21a zenon_H358 zenon_H32e zenon_H1e8 zenon_H15f zenon_H1a9 zenon_H14b zenon_H4a2 zenon_H44f zenon_H270 zenon_H375 zenon_H1f7 zenon_H2c0 zenon_H2c2 zenon_H13 zenon_H15 zenon_H155 zenon_H154 zenon_H473 zenon_H209 zenon_H1be zenon_H1d8 zenon_H2a3 zenon_H2a5 zenon_H2a6 zenon_H2b1 zenon_H1b1 zenon_H1ed zenon_H313 zenon_H474 zenon_H437 zenon_H40f zenon_H33 zenon_H3b zenon_H3f zenon_H3e zenon_H28d zenon_H27e zenon_Hd3 zenon_H289 zenon_H93 zenon_H8d zenon_H28c zenon_H498 zenon_H499 zenon_H49e.
% 54.76/55.00 apply (zenon_or_s _ _ zenon_H22c); [ zenon_intro zenon_H27d | zenon_intro zenon_H29d ].
% 54.76/55.00 apply (zenon_or_s _ _ zenon_H49e); [ zenon_intro zenon_H4a0 | zenon_intro zenon_H49f ].
% 54.76/55.00 exact (zenon_H49d zenon_H4a0).
% 54.76/55.00 apply (zenon_or_s _ _ zenon_H49f); [ zenon_intro zenon_H4e | zenon_intro zenon_H4a1 ].
% 54.76/55.00 apply (zenon_or_s _ _ zenon_Ha5); [ zenon_intro zenon_Ha8 | zenon_intro zenon_Ha7 ].
% 54.76/55.00 apply (zenon_or_s _ _ zenon_H28c); [ zenon_intro zenon_Hb9 | zenon_intro zenon_H28e ].
% 54.76/55.00 apply (zenon_L576_); trivial.
% 54.76/55.00 apply (zenon_or_s _ _ zenon_H28e); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H28f ].
% 54.76/55.00 exact (zenon_H28d zenon_Hc3).
% 54.76/55.00 apply (zenon_or_s _ _ zenon_H28f); [ zenon_intro zenon_H27f | zenon_intro zenon_H283 ].
% 54.76/55.00 apply (zenon_L133_); trivial.
% 54.76/55.00 apply (zenon_L137_); trivial.
% 54.76/55.00 apply (zenon_or_s _ _ zenon_Ha7); [ zenon_intro zenon_H92 | zenon_intro zenon_Ha9 ].
% 54.76/55.00 apply (zenon_L25_); trivial.
% 54.76/55.00 apply (zenon_or_s _ _ zenon_Ha9); [ zenon_intro zenon_H97 | zenon_intro zenon_H9e ].
% 54.76/55.00 apply (zenon_L26_); trivial.
% 54.76/55.00 apply (zenon_L27_); trivial.
% 54.76/55.00 apply (zenon_or_s _ _ zenon_H4a1); [ zenon_intro zenon_H49a | zenon_intro zenon_H42a ].
% 54.76/55.00 apply (zenon_L555_); trivial.
% 54.76/55.00 apply (zenon_L556_); trivial.
% 54.76/55.00 apply (zenon_L144_); trivial.
% 54.76/55.00 (* end of lemma zenon_L599_ *)
% 54.76/55.00 assert (zenon_L600_ : (((op1 (e11) (e10)) = (e11))/\(((op1 (e10) (e11)) = (e11))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11))))/\(((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12))))/\((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13))))))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op2 (e20) (e20)) = (e21))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e20) (e21)) = (e23))\/(((op2 (e20) (e22)) = (e23))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e22)))) -> (((op2 (e22) (e20)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e22) (e23)) = (e23))))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> ((op2 (e22) (e20)) = (e20)) -> (~((op2 (e22) (e22)) = (e21))) -> (~((op2 (e22) (e22)) = (e22))) -> (((op2 (e22) (e22)) = (e20))\/(((op2 (e22) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e22)) = (e23))))) -> (~((op2 (e21) (e21)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> ((e10) = (op1 (e11) (e11))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e12))\/((op1 (e11) (e10)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> ((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) -> ((e12) = (op1 (op1 (op1 (e11) (e11)) (op1 (e11) (e11))) (op1 (e11) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (~((h2 (op1 (e11) (e12))) = (op2 (h2 (e11)) (h2 (e12))))) -> ((e22) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> ((h2 (e12)) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> ((h2 (e11)) = (e21)) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> ((op1 (e11) (op1 (e11) (e12))) = (e12)) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op2 (e22) (e23)) = (e22))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (~((op2 (e21) (e22)) = (op2 (e21) (e23)))) -> ((op2 (e21) (op2 (e21) (e23))) = (e23)) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e21)) = (e22))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> ((op2 (e21) (op2 (e21) (e22))) = (e22)) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (((op2 (e21) (e22)) = (e20))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e22)) = (e23))))) -> ((op2 (e22) (e21)) = (e22)) -> (~((e22) = (e23))) -> ((e20) = (op2 (e21) (e21))) -> ((e23) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> (~((op2 (e21) (e21)) = (e21))) -> (~((e21) = (e22))) -> (((op2 (e20) (e21)) = (e20))\/(((op2 (e20) (e21)) = (e21))\/(((op2 (e20) (e21)) = (e22))\/((op2 (e20) (e21)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> ((op2 (e21) (op2 (e21) (e21))) = (e21)) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> (((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e21))\/((op2 (e23) (e20)) = (e21))))) -> False).
% 54.76/55.00 do 0 intro. intros zenon_H259 zenon_H17 zenon_H1e zenon_H1a0 zenon_H49d zenon_Ha5 zenon_H98 zenon_H3f1 zenon_H37d zenon_H121 zenon_H101 zenon_Hd7 zenon_H100 zenon_H7a zenon_Hc5 zenon_H328 zenon_H25 zenon_H1e8 zenon_H13 zenon_H15f zenon_H15a zenon_H15 zenon_H155 zenon_H154 zenon_H1a9 zenon_H14b zenon_H4a2 zenon_H3f zenon_H44f zenon_H270 zenon_H30e zenon_H375 zenon_H1f7 zenon_H485 zenon_H47e zenon_H6e zenon_H281 zenon_H9f zenon_H47a zenon_H395 zenon_H47c zenon_H3b1 zenon_H3af zenon_H60 zenon_H282 zenon_H39d zenon_H3b4 zenon_H481 zenon_H3a8 zenon_H40f zenon_Hd3 zenon_Hec zenon_H33 zenon_H3b zenon_H11f zenon_H28d zenon_H27e zenon_H289 zenon_H93 zenon_H286 zenon_H8d zenon_H28c zenon_H498 zenon_H499 zenon_H3e zenon_H49e.
% 54.76/55.00 apply (zenon_and_s _ _ zenon_H259). zenon_intro zenon_H163. zenon_intro zenon_H25a.
% 54.76/55.00 apply (zenon_and_s _ _ zenon_H25a). zenon_intro zenon_H1fe. zenon_intro zenon_H149.
% 54.76/55.00 apply (zenon_and_s _ _ zenon_H149). zenon_intro zenon_H144. zenon_intro zenon_H14a.
% 54.76/55.00 apply (zenon_and_s _ _ zenon_H14a). zenon_intro zenon_H25c. zenon_intro zenon_H25b.
% 54.76/55.00 apply (zenon_and_s _ _ zenon_H25b). zenon_intro zenon_H25e. zenon_intro zenon_H25d.
% 54.76/55.00 apply (zenon_or_s _ _ zenon_H25d); [ zenon_intro zenon_H25f | zenon_intro zenon_H1a1 ].
% 54.76/55.00 apply (zenon_or_s _ _ zenon_H49e); [ zenon_intro zenon_H4a0 | zenon_intro zenon_H49f ].
% 54.76/55.00 exact (zenon_H49d zenon_H4a0).
% 54.76/55.00 apply (zenon_or_s _ _ zenon_H49f); [ zenon_intro zenon_H4e | zenon_intro zenon_H4a1 ].
% 54.76/55.00 apply (zenon_or_s _ _ zenon_Ha5); [ zenon_intro zenon_Ha8 | zenon_intro zenon_Ha7 ].
% 54.76/55.00 apply (zenon_or_s _ _ zenon_H28c); [ zenon_intro zenon_Hb9 | zenon_intro zenon_H28e ].
% 54.76/55.00 apply (zenon_L582_); trivial.
% 54.76/55.00 apply (zenon_or_s _ _ zenon_H28e); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H28f ].
% 54.76/55.00 exact (zenon_H28d zenon_Hc3).
% 54.76/55.00 apply (zenon_or_s _ _ zenon_H28f); [ zenon_intro zenon_H27f | zenon_intro zenon_H283 ].
% 54.76/55.00 apply (zenon_L133_); trivial.
% 54.76/55.00 apply (zenon_L137_); trivial.
% 54.76/55.00 apply (zenon_or_s _ _ zenon_Ha7); [ zenon_intro zenon_H92 | zenon_intro zenon_Ha9 ].
% 54.76/55.00 apply (zenon_L25_); trivial.
% 54.76/55.00 apply (zenon_or_s _ _ zenon_Ha9); [ zenon_intro zenon_H97 | zenon_intro zenon_H9e ].
% 54.76/55.00 apply (zenon_L26_); trivial.
% 54.76/55.00 apply (zenon_L27_); trivial.
% 54.76/55.00 apply (zenon_or_s _ _ zenon_H4a1); [ zenon_intro zenon_H49a | zenon_intro zenon_H42a ].
% 54.76/55.00 apply (zenon_L555_); trivial.
% 54.76/55.00 apply (zenon_L556_); trivial.
% 54.76/55.00 apply (zenon_L79_); trivial.
% 54.76/55.00 (* end of lemma zenon_L600_ *)
% 54.76/55.00 assert (zenon_L601_ : (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e12)) = (e12))) -> (~((op1 (e12) (e12)) = (e11))) -> ((op1 (e10) (e12)) = (e10)) -> ((op1 (e12) (e10)) = (e10)) -> ((op1 (e11) (op1 (e11) (e10))) = (e10)) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (~((h2 (op1 (e11) (e12))) = (op2 (h2 (e11)) (h2 (e12))))) -> ((op2 (e21) (e22)) = (e22)) -> ((h2 (e11)) = (e21)) -> ((h2 (e12)) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> ((e22) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((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)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> ((op1 (e11) (op1 (e11) (e12))) = (e12)) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((e12) = (e13))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e12) (e13)) = (e12))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e11) (e11)) = (e11))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> ((e10) = (op1 (e11) (e11))) -> ((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> ((e12) = (op1 (op1 (op1 (e11) (e11)) (op1 (e11) (e11))) (op1 (e11) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e12))\/((op1 (e11) (e10)) = (e13))))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> ((op1 (e11) (op1 (e11) (e13))) = (e13)) -> ((op1 (e13) (e11)) = (e13)) -> False).
% 54.76/55.01 do 0 intro. intros zenon_H474 zenon_H1cc zenon_H1d1 zenon_H23f zenon_H18f zenon_H293 zenon_H292 zenon_H1de zenon_H1da zenon_H4a2 zenon_Hd4 zenon_H270 zenon_H44f zenon_H3f zenon_H2c2 zenon_H17 zenon_H179 zenon_H172 zenon_H204 zenon_H186 zenon_H316 zenon_H301 zenon_H1fd zenon_H2f8 zenon_H360 zenon_H19d zenon_H206 zenon_H25 zenon_H32b zenon_H2b9 zenon_H358 zenon_H23b zenon_H21a zenon_H2c0 zenon_H32e zenon_H30e zenon_H375 zenon_H1e8 zenon_H1f7 zenon_H180 zenon_H236 zenon_H2ad zenon_H2e7 zenon_H27d zenon_H1fa zenon_H473 zenon_H15a zenon_H13 zenon_H15 zenon_H154 zenon_H155 zenon_H1a9 zenon_H14b zenon_H15f zenon_H18a zenon_H29e zenon_H1c3.
% 54.76/55.01 apply (zenon_or_s _ _ zenon_H474); [ zenon_intro zenon_H163 | zenon_intro zenon_H475 ].
% 54.76/55.01 apply (zenon_L570_); trivial.
% 54.76/55.01 apply (zenon_or_s _ _ zenon_H475); [ zenon_intro zenon_H1a7 | zenon_intro zenon_H476 ].
% 54.76/55.01 exact (zenon_H473 zenon_H1a7).
% 54.76/55.01 apply (zenon_or_s _ _ zenon_H476); [ zenon_intro zenon_H1a8 | zenon_intro zenon_H214 ].
% 54.76/55.01 apply (zenon_L82_); trivial.
% 54.76/55.01 apply (zenon_L149_); trivial.
% 54.76/55.01 (* end of lemma zenon_L601_ *)
% 54.76/55.01 assert (zenon_L602_ : (((op2 (e21) (e22)) = (e20))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e22)) = (e23))))) -> (~((op2 (e21) (e21)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> ((op2 (e21) (e20)) = (e21)) -> ((op1 (e13) (e11)) = (e13)) -> ((op1 (e11) (op1 (e11) (e13))) = (e13)) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e12))\/((op1 (e11) (e10)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> ((e12) = (op1 (op1 (op1 (e11) (e11)) (op1 (e11) (e11))) (op1 (e11) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> ((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) -> ((e10) = (op1 (e11) (e11))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (~((op1 (e11) (e11)) = (e11))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e12) (e13)) = (e12))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((e12) = (e13))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> ((op1 (e11) (op1 (e11) (e12))) = (e12)) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e11)) = (e12))\/((op1 (e10) (e11)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> ((e22) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> ((h2 (e12)) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> ((h2 (e11)) = (e21)) -> (~((h2 (op1 (e11) (e12))) = (op2 (h2 (e11)) (h2 (e12))))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> ((op1 (e11) (op1 (e11) (e10))) = (e10)) -> ((op1 (e12) (e10)) = (e10)) -> ((op1 (e10) (e12)) = (e10)) -> (~((op1 (e12) (e12)) = (e11))) -> (~((op1 (e12) (e12)) = (e12))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> ((e23) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((op2 (e21) (e21)) = (e22)) -> ((e20) = (op2 (e21) (e21))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> False).
% 54.76/55.01 do 0 intro. intros zenon_H40f zenon_H7a zenon_Hc5 zenon_H4e zenon_H1c3 zenon_H29e zenon_H18a zenon_H15f zenon_H14b zenon_H1a9 zenon_H155 zenon_H154 zenon_H15 zenon_H13 zenon_H15a zenon_H473 zenon_H1fa zenon_H27d zenon_H2e7 zenon_H2ad zenon_H236 zenon_H180 zenon_H1f7 zenon_H1e8 zenon_H375 zenon_H30e zenon_H32e zenon_H2c0 zenon_H21a zenon_H23b zenon_H358 zenon_H2b9 zenon_H32b zenon_H25 zenon_H206 zenon_H19d zenon_H360 zenon_H2f8 zenon_H1fd zenon_H301 zenon_H316 zenon_H186 zenon_H204 zenon_H172 zenon_H179 zenon_H17 zenon_H2c2 zenon_H3f zenon_H44f zenon_H270 zenon_H4a2 zenon_H1da zenon_H1de zenon_H292 zenon_H293 zenon_H18f zenon_H23f zenon_H1d1 zenon_H1cc zenon_H474 zenon_H3b zenon_H401 zenon_H33 zenon_H437.
% 54.76/55.01 apply (zenon_or_s _ _ zenon_H40f); [ zenon_intro zenon_H79 | zenon_intro zenon_H410 ].
% 54.76/55.01 apply (zenon_L20_); trivial.
% 54.76/55.01 apply (zenon_or_s _ _ zenon_H410); [ zenon_intro zenon_Hc4 | zenon_intro zenon_H411 ].
% 54.76/55.01 apply (zenon_L33_); trivial.
% 54.76/55.01 apply (zenon_or_s _ _ zenon_H411); [ zenon_intro zenon_Hd4 | zenon_intro zenon_H38e ].
% 54.76/55.01 apply (zenon_L601_); trivial.
% 54.76/55.01 apply (zenon_L449_); trivial.
% 54.76/55.01 (* end of lemma zenon_L602_ *)
% 54.76/55.01 assert (zenon_L603_ : (((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e21))\/((op2 (e23) (e20)) = (e21))))) -> (~((op2 (e20) (e20)) = (e21))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> ((e23) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e22)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> ((e22) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> (((op2 (e22) (e20)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e22) (e23)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> (~((e22) = (e23))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> (((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e21)) = (e22))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e21) (e22)) = (op2 (e21) (e23)))) -> ((op2 (e21) (op2 (e21) (e23))) = (e23)) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (((op2 (e22) (e22)) = (e20))\/(((op2 (e22) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e22)) = (e23))))) -> ((op2 (e22) (e20)) = (e20)) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> (~((op2 (e22) (e22)) = (e21))) -> (~((op2 (e22) (e22)) = (e22))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (((op2 (e21) (e20)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/((op2 (e21) (e23)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e22) (e23)) = (e22))) -> (((op2 (e20) (e21)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e23) (e21)) = (e22))))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e12)) = (e12))) -> (~((op1 (e12) (e12)) = (e11))) -> ((op1 (e10) (e12)) = (e10)) -> ((op1 (e12) (e10)) = (e10)) -> ((op1 (e11) (op1 (e11) (e10))) = (e10)) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (~((h2 (op1 (e11) (e12))) = (op2 (h2 (e11)) (h2 (e12))))) -> ((h2 (e11)) = (e21)) -> ((h2 (e12)) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((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)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> ((op1 (e11) (op1 (e11) (e12))) = (e12)) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((e12) = (e13))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e12) (e13)) = (e12))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e11) (e11)) = (e11))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> ((e10) = (op1 (e11) (e11))) -> ((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> ((e12) = (op1 (op1 (op1 (e11) (e11)) (op1 (e11) (e11))) (op1 (e11) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e12))\/((op1 (e11) (e10)) = (e13))))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> ((op1 (e11) (op1 (e11) (e13))) = (e13)) -> ((op1 (e13) (e11)) = (e13)) -> (((op2 (e21) (e22)) = (e20))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e22)) = (e23))))) -> (~((op2 (e21) (e21)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> (~((op2 (e21) (e21)) = (e21))) -> (~((e21) = (e22))) -> (((op2 (e20) (e21)) = (e20))\/(((op2 (e20) (e21)) = (e21))\/(((op2 (e20) (e21)) = (e22))\/((op2 (e20) (e21)) = (e23))))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> ((op2 (e22) (e21)) = (e22)) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e20) (e21)) = (e23))\/(((op2 (e20) (e22)) = (e23))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> ((op2 (e21) (op2 (e21) (e21))) = (e21)) -> ((e20) = (op2 (e21) (e21))) -> False).
% 54.76/55.01 do 0 intro. intros zenon_H49e zenon_H49d zenon_H9f zenon_H3b zenon_H98 zenon_H93 zenon_H28c zenon_H60 zenon_H3f zenon_H3f1 zenon_H11f zenon_Hec zenon_H3af zenon_H39d zenon_H3b1 zenon_H47a zenon_H395 zenon_H3b4 zenon_H100 zenon_H121 zenon_H37d zenon_H101 zenon_Hd7 zenon_H47c zenon_H399 zenon_H45 zenon_H116 zenon_H437 zenon_Hf1 zenon_Hb0 zenon_H281 zenon_H3fd zenon_H474 zenon_H1cc zenon_H1d1 zenon_H23f zenon_H18f zenon_H293 zenon_H292 zenon_H1de zenon_H1da zenon_H4a2 zenon_H270 zenon_H44f zenon_H2c2 zenon_H17 zenon_H179 zenon_H172 zenon_H204 zenon_H186 zenon_H316 zenon_H301 zenon_H1fd zenon_H2f8 zenon_H360 zenon_H19d zenon_H206 zenon_H25 zenon_H32b zenon_H2b9 zenon_H358 zenon_H23b zenon_H21a zenon_H2c0 zenon_H32e zenon_H30e zenon_H375 zenon_H1e8 zenon_H1f7 zenon_H180 zenon_H236 zenon_H2ad zenon_H2e7 zenon_H27d zenon_H1fa zenon_H473 zenon_H15a zenon_H13 zenon_H15 zenon_H154 zenon_H155 zenon_H1a9 zenon_H14b zenon_H15f zenon_H18a zenon_H29e zenon_H1c3 zenon_H40f zenon_H7a zenon_Hc5 zenon_H4ae zenon_H28d zenon_H27e zenon_H289 zenon_H8d zenon_H282 zenon_H286 zenon_Hd3 zenon_Ha5 zenon_H498 zenon_H3e zenon_H499 zenon_H33.
% 54.76/55.01 apply (zenon_or_s _ _ zenon_H49e); [ zenon_intro zenon_H4a0 | zenon_intro zenon_H49f ].
% 54.76/55.01 exact (zenon_H49d zenon_H4a0).
% 54.76/55.01 apply (zenon_or_s _ _ zenon_H49f); [ zenon_intro zenon_H4e | zenon_intro zenon_H4a1 ].
% 54.76/55.01 apply (zenon_or_s _ _ zenon_Ha5); [ zenon_intro zenon_Ha8 | zenon_intro zenon_Ha7 ].
% 54.76/55.01 apply (zenon_or_s _ _ zenon_H28c); [ zenon_intro zenon_Hb9 | zenon_intro zenon_H28e ].
% 54.76/55.01 apply (zenon_or_s _ _ zenon_H4ae); [ zenon_intro zenon_H40 | zenon_intro zenon_H4af ].
% 54.76/55.01 apply (zenon_L8_); trivial.
% 54.76/55.01 apply (zenon_or_s _ _ zenon_H4af); [ zenon_intro zenon_H401 | zenon_intro zenon_H4b0 ].
% 54.76/55.01 apply (zenon_L602_); trivial.
% 54.76/55.01 apply (zenon_or_s _ _ zenon_H4b0); [ zenon_intro zenon_Hd4 | zenon_intro zenon_H478 ].
% 54.76/55.01 apply (zenon_L601_); trivial.
% 54.76/55.01 apply (zenon_L575_); trivial.
% 54.76/55.01 apply (zenon_or_s _ _ zenon_H28e); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H28f ].
% 54.76/55.01 exact (zenon_H28d zenon_Hc3).
% 54.76/55.01 apply (zenon_or_s _ _ zenon_H28f); [ zenon_intro zenon_H27f | zenon_intro zenon_H283 ].
% 54.76/55.01 apply (zenon_L133_); trivial.
% 54.76/55.01 apply (zenon_L137_); trivial.
% 54.76/55.01 apply (zenon_or_s _ _ zenon_Ha7); [ zenon_intro zenon_H92 | zenon_intro zenon_Ha9 ].
% 54.76/55.01 apply (zenon_L25_); trivial.
% 54.76/55.01 apply (zenon_or_s _ _ zenon_Ha9); [ zenon_intro zenon_H97 | zenon_intro zenon_H9e ].
% 54.76/55.01 apply (zenon_L26_); trivial.
% 54.76/55.01 apply (zenon_L27_); trivial.
% 54.76/55.01 apply (zenon_or_s _ _ zenon_H4a1); [ zenon_intro zenon_H49a | zenon_intro zenon_H42a ].
% 54.76/55.01 apply (zenon_L555_); trivial.
% 54.76/55.01 apply (zenon_L556_); trivial.
% 54.76/55.01 (* end of lemma zenon_L603_ *)
% 54.76/55.01 assert (zenon_L604_ : ((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13)))) -> (~((op2 (e20) (e20)) = (e21))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e20) (e21)) = (e23))\/(((op2 (e20) (e22)) = (e23))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e22)))) -> (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> (~((op2 (e22) (e23)) = (e22))) -> (~((op2 (e22) (e22)) = (e22))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> (((op2 (e21) (e20)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/((op2 (e21) (e23)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (~((op2 (e21) (e22)) = (op2 (e21) (e23)))) -> ((op2 (e21) (op2 (e21) (e23))) = (e23)) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e21)) = (e22))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (((op2 (e22) (e20)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e22) (e23)) = (e23))))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> ((op2 (e22) (e20)) = (e20)) -> (~((op2 (e22) (e22)) = (e21))) -> (((op2 (e22) (e22)) = (e20))\/(((op2 (e22) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e22)) = (e23))))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (~((e22) = (e23))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> (((op2 (e20) (e21)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e23) (e21)) = (e22))))) -> (~((op2 (e21) (e21)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> ((op1 (e13) (e11)) = (e13)) -> (~((op1 (e11) (e11)) = (e11))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> ((e12) = (op1 (op1 (op1 (e11) (e11)) (op1 (e11) (e11))) (op1 (e11) (e11)))) -> ((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) -> ((e10) = (op1 (e11) (e11))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> ((op1 (e11) (op1 (e11) (e12))) = (e12)) -> ((h2 (e11)) = (e21)) -> ((h2 (e12)) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> (~((h2 (op1 (e11) (e12))) = (op2 (h2 (e11)) (h2 (e12))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e12))\/((op1 (e11) (e10)) = (e13))))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e11)) = (e12))\/((op1 (e10) (e11)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e12) (e12)) = (e12))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> ((op1 (e11) (op1 (e11) (e13))) = (e13)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((e12) = (e13))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (~((op1 (e12) (e12)) = (e11))) -> ((op1 (e10) (e12)) = (e10)) -> ((op1 (e12) (e10)) = (e10)) -> ((op1 (e11) (op1 (e11) (e10))) = (e10)) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (((op2 (e21) (e22)) = (e20))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e22)) = (e23))))) -> ((e20) = (op2 (e21) (e21))) -> ((e23) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((e22) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e21) (e21)) = (e21))) -> (~((e21) = (e22))) -> ((op2 (e22) (e21)) = (e22)) -> (((op2 (e20) (e21)) = (e20))\/(((op2 (e20) (e21)) = (e21))\/(((op2 (e20) (e21)) = (e22))\/((op2 (e20) (e21)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> ((op2 (e21) (op2 (e21) (e21))) = (e21)) -> (((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e21))\/((op2 (e23) (e20)) = (e21))))) -> False).
% 54.76/55.01 do 0 intro. intros zenon_H22c zenon_H49d zenon_Ha5 zenon_H98 zenon_H4ae zenon_Hf1 zenon_H281 zenon_Hd7 zenon_H286 zenon_Hb0 zenon_H399 zenon_H9f zenon_H47a zenon_H395 zenon_H116 zenon_H3b1 zenon_H3af zenon_H60 zenon_H282 zenon_H39d zenon_H3b4 zenon_H45 zenon_H3f1 zenon_H37d zenon_H121 zenon_H101 zenon_H100 zenon_H47c zenon_Hec zenon_H11f zenon_H3fd zenon_H7a zenon_Hc5 zenon_H474 zenon_H1c3 zenon_H473 zenon_H154 zenon_H155 zenon_H15 zenon_H13 zenon_H2c2 zenon_H2c0 zenon_H1f7 zenon_H375 zenon_H270 zenon_H44f zenon_H4a2 zenon_H14b zenon_H1a9 zenon_H15f zenon_H1e8 zenon_H32e zenon_H358 zenon_H21a zenon_H2e7 zenon_H25 zenon_H30e zenon_H2b9 zenon_H206 zenon_H17 zenon_H186 zenon_H180 zenon_H179 zenon_H204 zenon_H1d1 zenon_H23b zenon_H301 zenon_H2f8 zenon_H29e zenon_H172 zenon_H1fd zenon_H18a zenon_H1cc zenon_H360 zenon_H316 zenon_H19d zenon_H32b zenon_H236 zenon_H2ad zenon_H15a zenon_H1da zenon_H23f zenon_H18f zenon_H293 zenon_H292 zenon_H1de zenon_H1fa zenon_H437 zenon_H40f zenon_H33 zenon_H3b zenon_H3f zenon_H3e zenon_H28d zenon_H27e zenon_Hd3 zenon_H289 zenon_H93 zenon_H8d zenon_H28c zenon_H498 zenon_H499 zenon_H49e.
% 54.76/55.01 apply (zenon_or_s _ _ zenon_H22c); [ zenon_intro zenon_H27d | zenon_intro zenon_H29d ].
% 54.76/55.01 apply (zenon_L603_); trivial.
% 54.76/55.01 apply (zenon_L144_); trivial.
% 54.76/55.01 (* end of lemma zenon_L604_ *)
% 54.76/55.01 assert (zenon_L605_ : (((op2 (e21) (e22)) = (e20))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e22)) = (e23))))) -> (~((op2 (e21) (e21)) = (op2 (e21) (e22)))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> (((op2 (e21) (e20)) = (e20))\/(((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e20)) = (e22))\/((op2 (e21) (e20)) = (e23))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> ((e10) = (op1 (e11) (e11))) -> ((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> ((op1 (e10) (e12)) = (e10)) -> ((op1 (e12) (e10)) = (e10)) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e11)) = (e11))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (~((h2 (op1 (e11) (e12))) = (op2 (h2 (e11)) (h2 (e12))))) -> ((h2 (e11)) = (e21)) -> ((h2 (e12)) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> ((e12) = (op1 (op1 (op1 (e11) (e11)) (op1 (e11) (e11))) (op1 (e11) (e11)))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e12) (e12)) = (e12))) -> (~((op1 (e12) (e13)) = (e12))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> ((op1 (e11) (op1 (e11) (e12))) = (e12)) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e12))\/((op1 (e11) (e10)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> ((op1 (e11) (op1 (e11) (e11))) = (e11)) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> ((op1 (e11) (op1 (e11) (e10))) = (e10)) -> (~((op1 (e12) (e12)) = (e11))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e11)) = (e12))\/((op1 (e10) (e11)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e11) (e11)) = (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 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((e12) = (e13))) -> ((op1 (e12) (e11)) = (e12)) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> ((op1 (e11) (op1 (e11) (e13))) = (e13)) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> ((op2 (e21) (op2 (e21) (e22))) = (e22)) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> ((op2 (e20) (e21)) = (e21)) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> (((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e21)) = (e22))\/((op2 (e23) (e21)) = (e23))))) -> ((op2 (e20) (e20)) = (e23)) -> ((op2 (e22) (e22)) = (e23)) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (~((op2 (e21) (e22)) = (op2 (e21) (e23)))) -> ((op2 (e21) (op2 (e21) (e23))) = (e23)) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e22) (e23)) = (e22))) -> ((e22) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> ((e20) = (op2 (e21) (e21))) -> ((e23) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> False).
% 54.76/55.01 do 0 intro. intros zenon_H40f zenon_H7a zenon_H45 zenon_H3e zenon_Hc5 zenon_H32 zenon_H4a zenon_H25 zenon_H13 zenon_H15 zenon_H1e zenon_H17 zenon_H474 zenon_H18f zenon_H293 zenon_H1de zenon_H473 zenon_H1fa zenon_H2c0 zenon_H4a2 zenon_H270 zenon_H44f zenon_H1a9 zenon_H1e8 zenon_H1f7 zenon_H358 zenon_H32b zenon_H23b zenon_H155 zenon_H21a zenon_H1d1 zenon_H27d zenon_H30e zenon_H186 zenon_H1ed zenon_H375 zenon_H32e zenon_H172 zenon_H179 zenon_H180 zenon_H1be zenon_H1b1 zenon_H15f zenon_H14b zenon_H2a5 zenon_H2a6 zenon_H1da zenon_H2a3 zenon_H292 zenon_H23f zenon_H1d8 zenon_H2b1 zenon_H154 zenon_H15a zenon_H206 zenon_H19d zenon_H360 zenon_H2f8 zenon_H1fd zenon_H301 zenon_H316 zenon_H204 zenon_H2c2 zenon_H313 zenon_H2b9 zenon_H1cc zenon_H2ad zenon_H2e7 zenon_H236 zenon_H202 zenon_H18a zenon_H29e zenon_H1a0 zenon_H47e zenon_H3a8 zenon_H481 zenon_H3af zenon_H60 zenon_H282 zenon_Hb9 zenon_H39d zenon_H3b1 zenon_Ha8 zenon_Hf6 zenon_H47c zenon_H47a zenon_H395 zenon_H9f zenon_H3b4 zenon_H281 zenon_H3f zenon_H33 zenon_H3b zenon_H6e.
% 54.76/55.01 apply (zenon_or_s _ _ zenon_H40f); [ zenon_intro zenon_H79 | zenon_intro zenon_H410 ].
% 54.76/55.01 apply (zenon_L20_); trivial.
% 54.76/55.01 apply (zenon_or_s _ _ zenon_H410); [ zenon_intro zenon_Hc4 | zenon_intro zenon_H411 ].
% 54.76/55.01 apply (zenon_L34_); trivial.
% 54.76/55.01 apply (zenon_or_s _ _ zenon_H411); [ zenon_intro zenon_Hd4 | zenon_intro zenon_H38e ].
% 54.76/55.01 apply (zenon_L589_); trivial.
% 54.76/55.01 apply (zenon_L517_); trivial.
% 54.76/55.01 (* end of lemma zenon_L605_ *)
% 54.76/55.01 assert (zenon_L606_ : (((op2 (e22) (e20)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e22) (e23)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> (~((e22) = (e23))) -> ((op2 (e22) (e21)) = (e22)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> ((e22) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> (~((op2 (e22) (e23)) = (e22))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> ((op2 (e21) (op2 (e21) (e23))) = (e23)) -> (~((op2 (e21) (e22)) = (op2 (e21) (e23)))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> ((op2 (e20) (e20)) = (e23)) -> (((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e21)) = (e22))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> ((op2 (e20) (e21)) = (e21)) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> ((op2 (e21) (op2 (e21) (e22))) = (e22)) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> ((op1 (e11) (op1 (e11) (e13))) = (e13)) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> ((op1 (e12) (e11)) = (e12)) -> (~((e12) = (e13))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((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)) = (op1 (e11) (e10)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e12)) = (e11))) -> ((op1 (e11) (op1 (e11) (e10))) = (e10)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> ((op1 (e11) (op1 (e11) (e11))) = (e11)) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e12))\/((op1 (e11) (e10)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> ((op1 (e11) (op1 (e11) (e12))) = (e12)) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e12) (e13)) = (e12))) -> (~((op1 (e12) (e12)) = (e12))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> ((e12) = (op1 (op1 (op1 (e11) (e11)) (op1 (e11) (e11))) (op1 (e11) (e11)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> ((h2 (e12)) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> ((h2 (e11)) = (e21)) -> (~((h2 (op1 (e11) (e12))) = (op2 (h2 (e11)) (h2 (e12))))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e11) (e11)) = (e11))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> ((op1 (e12) (e10)) = (e10)) -> ((op1 (e10) (e12)) = (e10)) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> ((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) -> ((e10) = (op1 (e11) (e11))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((op2 (e21) (e20)) = (e20))\/(((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e20)) = (e22))\/((op2 (e21) (e20)) = (e23))))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (~((op2 (e21) (e21)) = (op2 (e21) (e22)))) -> (((op2 (e21) (e22)) = (e20))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e22)) = (e23))))) -> ((e23) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((op2 (e21) (e21)) = (e23)) -> ((e20) = (op2 (e21) (e21))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> False).
% 54.76/55.01 do 0 intro. intros zenon_H3f1 zenon_H11f zenon_Hec zenon_Hd3 zenon_H6e zenon_H3f zenon_H281 zenon_H3b4 zenon_H9f zenon_H395 zenon_H47a zenon_H47c zenon_Ha8 zenon_H3b1 zenon_H39d zenon_Hb9 zenon_H282 zenon_H60 zenon_H3af zenon_H481 zenon_H3a8 zenon_H47e zenon_H1a0 zenon_H29e zenon_H18a zenon_H202 zenon_H236 zenon_H2e7 zenon_H2ad zenon_H1cc zenon_H2b9 zenon_H313 zenon_H2c2 zenon_H204 zenon_H316 zenon_H301 zenon_H1fd zenon_H2f8 zenon_H360 zenon_H19d zenon_H206 zenon_H15a zenon_H154 zenon_H2b1 zenon_H1d8 zenon_H23f zenon_H292 zenon_H2a3 zenon_H1da zenon_H2a6 zenon_H2a5 zenon_H14b zenon_H15f zenon_H1b1 zenon_H1be zenon_H180 zenon_H179 zenon_H172 zenon_H32e zenon_H375 zenon_H1ed zenon_H186 zenon_H30e zenon_H27d zenon_H1d1 zenon_H21a zenon_H155 zenon_H23b zenon_H32b zenon_H358 zenon_H1f7 zenon_H1e8 zenon_H1a9 zenon_H44f zenon_H270 zenon_H4a2 zenon_H2c0 zenon_H1fa zenon_H473 zenon_H1de zenon_H293 zenon_H18f zenon_H474 zenon_H17 zenon_H1e zenon_H15 zenon_H13 zenon_H25 zenon_H4a zenon_H32 zenon_Hc5 zenon_H3e zenon_H45 zenon_H7a zenon_H40f zenon_H3b zenon_H388 zenon_H33 zenon_H116.
% 54.76/55.01 apply (zenon_or_s _ _ zenon_H3f1); [ zenon_intro zenon_H3df | zenon_intro zenon_H3f2 ].
% 54.76/55.01 apply (zenon_L364_); trivial.
% 54.76/55.01 apply (zenon_or_s _ _ zenon_H3f2); [ zenon_intro zenon_H3ba | zenon_intro zenon_H3f3 ].
% 54.76/55.01 apply (zenon_L350_); trivial.
% 54.76/55.01 apply (zenon_or_s _ _ zenon_H3f3); [ zenon_intro zenon_Hf6 | zenon_intro zenon_Heb ].
% 54.76/55.01 apply (zenon_L605_); trivial.
% 54.76/55.01 apply (zenon_L323_); trivial.
% 54.76/55.01 (* end of lemma zenon_L606_ *)
% 54.76/55.01 assert (zenon_L607_ : (((op2 (e22) (e20)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e22) (e23)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> (~((e22) = (e23))) -> ((op2 (e22) (e21)) = (e22)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> ((e23) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((e20) = (op2 (e21) (e21))) -> ((e22) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> (~((op2 (e22) (e23)) = (e22))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (~((op2 (e21) (e22)) = (op2 (e21) (e23)))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> ((op2 (e20) (e20)) = (e23)) -> (((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e21)) = (e22))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> ((op2 (e20) (e21)) = (e21)) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> ((op2 (e21) (op2 (e21) (e22))) = (e22)) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> ((op1 (e11) (op1 (e11) (e13))) = (e13)) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> ((op1 (e12) (e11)) = (e12)) -> (~((e12) = (e13))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((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)) = (op1 (e11) (e10)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e12)) = (e11))) -> ((op1 (e11) (op1 (e11) (e10))) = (e10)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> ((op1 (e11) (op1 (e11) (e11))) = (e11)) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e12))\/((op1 (e11) (e10)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> ((op1 (e11) (op1 (e11) (e12))) = (e12)) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e12) (e13)) = (e12))) -> (~((op1 (e12) (e12)) = (e12))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> ((e12) = (op1 (op1 (op1 (e11) (e11)) (op1 (e11) (e11))) (op1 (e11) (e11)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> ((h2 (e12)) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> ((h2 (e11)) = (e21)) -> (~((h2 (op1 (e11) (e12))) = (op2 (h2 (e11)) (h2 (e12))))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e11) (e11)) = (e11))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> ((op1 (e12) (e10)) = (e10)) -> ((op1 (e10) (e12)) = (e10)) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> ((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) -> ((e10) = (op1 (e11) (e11))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((op2 (e21) (e20)) = (e20))\/(((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e20)) = (e22))\/((op2 (e21) (e20)) = (e23))))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (~((op2 (e21) (e21)) = (op2 (e21) (e22)))) -> (((op2 (e21) (e22)) = (e20))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e22)) = (e23))))) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> ((op2 (e21) (op2 (e21) (e23))) = (e23)) -> ((op2 (e21) (e23)) = (e23)) -> False).
% 54.76/55.01 do 0 intro. intros zenon_H3f1 zenon_H11f zenon_Hec zenon_Hd3 zenon_H6e zenon_H3b zenon_H33 zenon_H3f zenon_H281 zenon_H3b4 zenon_H9f zenon_H47a zenon_H47c zenon_Ha8 zenon_H3b1 zenon_H39d zenon_Hb9 zenon_H282 zenon_H60 zenon_H3af zenon_H481 zenon_H3a8 zenon_H47e zenon_H1a0 zenon_H29e zenon_H18a zenon_H202 zenon_H236 zenon_H2e7 zenon_H2ad zenon_H1cc zenon_H2b9 zenon_H313 zenon_H2c2 zenon_H204 zenon_H316 zenon_H301 zenon_H1fd zenon_H2f8 zenon_H360 zenon_H19d zenon_H206 zenon_H15a zenon_H154 zenon_H2b1 zenon_H1d8 zenon_H23f zenon_H292 zenon_H2a3 zenon_H1da zenon_H2a6 zenon_H2a5 zenon_H14b zenon_H15f zenon_H1b1 zenon_H1be zenon_H180 zenon_H179 zenon_H172 zenon_H32e zenon_H375 zenon_H1ed zenon_H186 zenon_H30e zenon_H27d zenon_H1d1 zenon_H21a zenon_H155 zenon_H23b zenon_H32b zenon_H358 zenon_H1f7 zenon_H1e8 zenon_H1a9 zenon_H44f zenon_H270 zenon_H4a2 zenon_H2c0 zenon_H1fa zenon_H473 zenon_H1de zenon_H293 zenon_H18f zenon_H474 zenon_H17 zenon_H1e zenon_H15 zenon_H13 zenon_H25 zenon_H4a zenon_H32 zenon_Hc5 zenon_H3e zenon_H45 zenon_H7a zenon_H40f zenon_H394 zenon_H395 zenon_He9.
% 54.76/55.01 apply (zenon_or_s _ _ zenon_H3f1); [ zenon_intro zenon_H3df | zenon_intro zenon_H3f2 ].
% 54.76/55.01 apply (zenon_L364_); trivial.
% 54.76/55.01 apply (zenon_or_s _ _ zenon_H3f2); [ zenon_intro zenon_H3ba | zenon_intro zenon_H3f3 ].
% 54.76/55.01 apply (zenon_L350_); trivial.
% 54.76/55.01 apply (zenon_or_s _ _ zenon_H3f3); [ zenon_intro zenon_Hf6 | zenon_intro zenon_Heb ].
% 54.76/55.01 apply (zenon_L605_); trivial.
% 54.76/55.01 apply (zenon_L326_); trivial.
% 54.76/55.01 (* end of lemma zenon_L607_ *)
% 54.76/55.01 assert (zenon_L608_ : (((op2 (e20) (e20)) = (e23))\/(((op2 (e20) (e21)) = (e23))\/(((op2 (e20) (e22)) = (e23))\/((op2 (e20) (e23)) = (e23))))) -> ((op2 (e22) (e21)) = (e22)) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> (((op2 (e20) (e21)) = (e20))\/(((op2 (e20) (e21)) = (e21))\/(((op2 (e20) (e21)) = (e22))\/((op2 (e20) (e21)) = (e23))))) -> (~((e21) = (e22))) -> (~((op2 (e21) (e21)) = (e21))) -> (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e21) (e22)) = (e20))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e22)) = (e23))))) -> (~((op2 (e21) (e21)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> (((op2 (e21) (e20)) = (e20))\/(((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e20)) = (e22))\/((op2 (e21) (e20)) = (e23))))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> ((op2 (e21) (op2 (e21) (e22))) = (e22)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> ((e10) = (op1 (e11) (e11))) -> ((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> ((op1 (e10) (e12)) = (e10)) -> ((op1 (e12) (e10)) = (e10)) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e11)) = (e11))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (~((h2 (op1 (e11) (e12))) = (op2 (h2 (e11)) (h2 (e12))))) -> ((h2 (e11)) = (e21)) -> ((h2 (e12)) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> ((e12) = (op1 (op1 (op1 (e11) (e11)) (op1 (e11) (e11))) (op1 (e11) (e11)))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e12) (e12)) = (e12))) -> (~((op1 (e12) (e13)) = (e12))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> ((op1 (e11) (op1 (e11) (e12))) = (e12)) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e12))\/((op1 (e11) (e10)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> ((op1 (e11) (op1 (e11) (e11))) = (e11)) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> ((op1 (e11) (op1 (e11) (e10))) = (e10)) -> (~((op1 (e12) (e12)) = (e11))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e11)) = (e12))\/((op1 (e10) (e11)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e11) (e11)) = (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 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((e12) = (e13))) -> ((op1 (e12) (e11)) = (e12)) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> ((op1 (e11) (op1 (e11) (e13))) = (e13)) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (((op2 (e20) (e21)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e23) (e21)) = (e22))))) -> (~((op2 (e22) (e23)) = (e22))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (((op2 (e21) (e20)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/((op2 (e21) (e23)) = (e23))))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (~((op2 (e22) (e22)) = (e22))) -> (~((op2 (e22) (e22)) = (e21))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> ((op2 (e22) (e20)) = (e20)) -> (((op2 (e22) (e22)) = (e20))\/(((op2 (e22) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e22)) = (e23))))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> ((op2 (e21) (op2 (e21) (e23))) = (e23)) -> (~((op2 (e21) (e22)) = (op2 (e21) (e23)))) -> (((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e21)) = (e22))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (~((e22) = (e23))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> (((op2 (e22) (e20)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e22) (e23)) = (e23))))) -> ((e22) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e22)))) -> ((e23) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((e20) = (op2 (e21) (e21))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> False).
% 54.76/55.01 do 0 intro. intros zenon_Ha5 zenon_Hd3 zenon_H286 zenon_H282 zenon_H8d zenon_H289 zenon_H27e zenon_H28d zenon_H4ae zenon_H394 zenon_H40f zenon_H7a zenon_H3e zenon_Hc5 zenon_H32 zenon_H4a zenon_H47e zenon_H3a8 zenon_H481 zenon_H6e zenon_H25 zenon_H13 zenon_H15 zenon_H1e zenon_H17 zenon_H474 zenon_H18f zenon_H293 zenon_H1de zenon_H473 zenon_H1fa zenon_H2c0 zenon_H4a2 zenon_H270 zenon_H44f zenon_H1a9 zenon_H1e8 zenon_H1f7 zenon_H358 zenon_H32b zenon_H23b zenon_H155 zenon_H21a zenon_H1d1 zenon_H27d zenon_H30e zenon_H186 zenon_H1ed zenon_H375 zenon_H32e zenon_H172 zenon_H179 zenon_H180 zenon_H1be zenon_H1b1 zenon_H15f zenon_H14b zenon_H2a5 zenon_H2a6 zenon_H1da zenon_H2a3 zenon_H292 zenon_H23f zenon_H1d8 zenon_H2b1 zenon_H154 zenon_H15a zenon_H206 zenon_H19d zenon_H360 zenon_H2f8 zenon_H1fd zenon_H301 zenon_H316 zenon_H204 zenon_H2c2 zenon_H313 zenon_H2b9 zenon_H1cc zenon_H2ad zenon_H2e7 zenon_H236 zenon_H202 zenon_H18a zenon_H29e zenon_H1a0 zenon_H3fd zenon_H281 zenon_Hb0 zenon_Hf1 zenon_H437 zenon_H116 zenon_H45 zenon_H399 zenon_H47c zenon_Hd7 zenon_H101 zenon_H37d zenon_H121 zenon_H100 zenon_H3b4 zenon_H395 zenon_H47a zenon_H3b1 zenon_H39d zenon_H3af zenon_Hec zenon_H11f zenon_H3f1 zenon_H3f zenon_H60 zenon_H28c zenon_H93 zenon_H98 zenon_H3b zenon_H33 zenon_H9f.
% 54.76/55.01 apply (zenon_or_s _ _ zenon_Ha5); [ zenon_intro zenon_Ha8 | zenon_intro zenon_Ha7 ].
% 54.76/55.01 apply (zenon_or_s _ _ zenon_H28c); [ zenon_intro zenon_Hb9 | zenon_intro zenon_H28e ].
% 54.76/55.01 apply (zenon_or_s _ _ zenon_H4ae); [ zenon_intro zenon_H40 | zenon_intro zenon_H4af ].
% 54.76/55.01 apply (zenon_L8_); trivial.
% 54.76/55.01 apply (zenon_or_s _ _ zenon_H4af); [ zenon_intro zenon_H401 | zenon_intro zenon_H4b0 ].
% 54.76/55.01 apply (zenon_or_s _ _ zenon_H399); [ zenon_intro zenon_H44 | zenon_intro zenon_H39a ].
% 54.76/55.01 apply (zenon_L10_); trivial.
% 54.76/55.01 apply (zenon_or_s _ _ zenon_H39a); [ zenon_intro zenon_H388 | zenon_intro zenon_H39b ].
% 54.76/55.01 apply (zenon_L606_); trivial.
% 54.76/55.01 apply (zenon_or_s _ _ zenon_H39b); [ zenon_intro zenon_H38e | zenon_intro zenon_He9 ].
% 54.76/55.01 apply (zenon_L449_); trivial.
% 54.76/55.01 apply (zenon_L607_); trivial.
% 54.76/55.01 apply (zenon_or_s _ _ zenon_H4b0); [ zenon_intro zenon_Hd4 | zenon_intro zenon_H478 ].
% 54.76/55.01 apply (zenon_L589_); trivial.
% 54.76/55.01 apply (zenon_L575_); trivial.
% 54.76/55.01 apply (zenon_or_s _ _ zenon_H28e); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H28f ].
% 54.76/55.01 exact (zenon_H28d zenon_Hc3).
% 54.76/55.01 apply (zenon_or_s _ _ zenon_H28f); [ zenon_intro zenon_H27f | zenon_intro zenon_H283 ].
% 54.76/55.01 apply (zenon_L133_); trivial.
% 54.76/55.01 apply (zenon_L137_); trivial.
% 54.76/55.01 apply (zenon_or_s _ _ zenon_Ha7); [ zenon_intro zenon_H92 | zenon_intro zenon_Ha9 ].
% 54.76/55.01 apply (zenon_L25_); trivial.
% 54.76/55.01 apply (zenon_or_s _ _ zenon_Ha9); [ zenon_intro zenon_H97 | zenon_intro zenon_H9e ].
% 54.76/55.01 apply (zenon_L26_); trivial.
% 54.76/55.01 apply (zenon_L27_); trivial.
% 54.76/55.01 (* end of lemma zenon_L608_ *)
% 54.76/55.01 assert (zenon_L609_ : ((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13)))) -> (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> (((op2 (e20) (e21)) = (e20))\/(((op2 (e20) (e21)) = (e21))\/(((op2 (e20) (e21)) = (e22))\/((op2 (e20) (e21)) = (e23))))) -> (~((e21) = (e22))) -> (~((op2 (e21) (e21)) = (e21))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> ((e22) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> ((e23) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((e20) = (op2 (e21) (e21))) -> (((op2 (e21) (e20)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/((op2 (e21) (e23)) = (e23))))) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> (~((e22) = (e23))) -> ((op2 (e22) (e21)) = (e22)) -> (((op2 (e21) (e22)) = (e20))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e22)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> ((op2 (e21) (op2 (e21) (e22))) = (e22)) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e21)) = (e22))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> ((op2 (e21) (op2 (e21) (e23))) = (e23)) -> (~((op2 (e21) (e22)) = (op2 (e21) (e23)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (~((op2 (e22) (e23)) = (e22))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> ((op1 (e11) (op1 (e11) (e11))) = (e11)) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e11) (e11)) = (e11))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> ((e12) = (op1 (op1 (op1 (e11) (e11)) (op1 (e11) (e11))) (op1 (e11) (e11)))) -> ((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) -> ((e10) = (op1 (e11) (e11))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e12))\/((op1 (e11) (e10)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (~((h2 (op1 (e11) (e12))) = (op2 (h2 (e11)) (h2 (e12))))) -> ((h2 (e12)) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> ((h2 (e11)) = (e21)) -> ((op1 (e11) (op1 (e11) (e12))) = (e12)) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((e12) = (e13))) -> ((op1 (e12) (e11)) = (e12)) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> ((op1 (e11) (op1 (e11) (e13))) = (e13)) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e12) (e12)) = (e12))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e11)) = (e12))\/((op1 (e10) (e11)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (~((op1 (e12) (e12)) = (e11))) -> ((op1 (e10) (e12)) = (e10)) -> ((op1 (e12) (e10)) = (e10)) -> ((op1 (e11) (op1 (e11) (e10))) = (e10)) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> (((op2 (e21) (e20)) = (e20))\/(((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e20)) = (e22))\/((op2 (e21) (e20)) = (e23))))) -> (~((op2 (e21) (e21)) = (op2 (e21) (e22)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e22) (e20)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e22) (e23)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (((op2 (e20) (e21)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e23) (e21)) = (e22))))) -> (((op2 (e22) (e22)) = (e20))\/(((op2 (e22) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e22)) = (e23))))) -> (~((op2 (e22) (e22)) = (e21))) -> ((op2 (e22) (e20)) = (e20)) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (~((op2 (e22) (e22)) = (e22))) -> (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e22)))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e20) (e21)) = (e23))\/(((op2 (e20) (e22)) = (e23))\/((op2 (e20) (e23)) = (e23))))) -> False).
% 54.87/55.02 do 0 intro. intros zenon_H22c zenon_H28c zenon_H8d zenon_H93 zenon_H289 zenon_H27e zenon_H28d zenon_H3e zenon_H3f zenon_H3b zenon_H33 zenon_H399 zenon_H394 zenon_H437 zenon_H11f zenon_Hec zenon_Hd3 zenon_H40f zenon_H3a8 zenon_H481 zenon_H3b4 zenon_H39d zenon_H282 zenon_H60 zenon_H3af zenon_H3b1 zenon_H47c zenon_H395 zenon_H47a zenon_H9f zenon_H281 zenon_H6e zenon_H47e zenon_H474 zenon_H313 zenon_H1ed zenon_H1b1 zenon_H2b1 zenon_H2a6 zenon_H2a5 zenon_H2a3 zenon_H1d8 zenon_H1be zenon_H473 zenon_H154 zenon_H155 zenon_H15 zenon_H13 zenon_H2c2 zenon_H32e zenon_H1e8 zenon_H15f zenon_H1a9 zenon_H14b zenon_H4a2 zenon_H44f zenon_H270 zenon_H375 zenon_H1f7 zenon_H2c0 zenon_H358 zenon_H2ad zenon_H236 zenon_H202 zenon_H32b zenon_H19d zenon_H316 zenon_H360 zenon_H1cc zenon_H18a zenon_H1fd zenon_H172 zenon_H29e zenon_H2f8 zenon_H301 zenon_H23b zenon_H1d1 zenon_H204 zenon_H179 zenon_H180 zenon_H186 zenon_H21a zenon_H17 zenon_H206 zenon_H2b9 zenon_H30e zenon_H25 zenon_H2e7 zenon_H15a zenon_H1da zenon_H23f zenon_H18f zenon_H293 zenon_H292 zenon_H1de zenon_H1fa zenon_H1e zenon_H1a0 zenon_H32 zenon_Hc5 zenon_H4a zenon_H7a zenon_H116 zenon_H3f1 zenon_H45 zenon_H3fd zenon_H100 zenon_H101 zenon_H121 zenon_H37d zenon_Hb0 zenon_H286 zenon_Hd7 zenon_Hf1 zenon_H4ae zenon_H98 zenon_Ha5.
% 54.87/55.02 apply (zenon_or_s _ _ zenon_H22c); [ zenon_intro zenon_H27d | zenon_intro zenon_H29d ].
% 54.87/55.02 apply (zenon_L608_); trivial.
% 54.87/55.02 apply (zenon_L144_); trivial.
% 54.87/55.02 (* end of lemma zenon_L609_ *)
% 54.87/55.02 assert (zenon_L610_ : ((((op1 (e10) (op1 (e10) (e10))) = (e10))/\(((op1 (e10) (op1 (e10) (e11))) = (e11))/\(((op1 (e10) (op1 (e10) (e12))) = (e12))/\(((op1 (e10) (op1 (e10) (e13))) = (e13))/\(((~((op1 (e10) (e10)) = (e10)))\/((op1 (e10) (e10)) = (e10)))/\(((~((op1 (e11) (e11)) = (e10)))\/((op1 (e11) (e10)) = (e11)))/\(((~((op1 (e12) (e12)) = (e10)))\/((op1 (e12) (e10)) = (e12)))/\((~((op1 (e13) (e13)) = (e10)))\/((op1 (e13) (e10)) = (e13))))))))))\/((((op1 (e11) (op1 (e11) (e10))) = (e10))/\(((op1 (e11) (op1 (e11) (e11))) = (e11))/\(((op1 (e11) (op1 (e11) (e12))) = (e12))/\(((op1 (e11) (op1 (e11) (e13))) = (e13))/\(((~((op1 (e10) (e10)) = (e11)))\/((op1 (e10) (e11)) = (e10)))/\(((~((op1 (e11) (e11)) = (e11)))\/((op1 (e11) (e11)) = (e11)))/\(((~((op1 (e12) (e12)) = (e11)))\/((op1 (e12) (e11)) = (e12)))/\((~((op1 (e13) (e13)) = (e11)))\/((op1 (e13) (e11)) = (e13))))))))))\/((((op1 (e12) (op1 (e12) (e10))) = (e10))/\(((op1 (e12) (op1 (e12) (e11))) = (e11))/\(((op1 (e12) (op1 (e12) (e12))) = (e12))/\(((op1 (e12) (op1 (e12) (e13))) = (e13))/\(((~((op1 (e10) (e10)) = (e12)))\/((op1 (e10) (e12)) = (e10)))/\(((~((op1 (e11) (e11)) = (e12)))\/((op1 (e11) (e12)) = (e11)))/\(((~((op1 (e12) (e12)) = (e12)))\/((op1 (e12) (e12)) = (e12)))/\((~((op1 (e13) (e13)) = (e12)))\/((op1 (e13) (e12)) = (e13))))))))))\/(((op1 (e13) (op1 (e13) (e10))) = (e10))/\(((op1 (e13) (op1 (e13) (e11))) = (e11))/\(((op1 (e13) (op1 (e13) (e12))) = (e12))/\(((op1 (e13) (op1 (e13) (e13))) = (e13))/\(((~((op1 (e10) (e10)) = (e13)))\/((op1 (e10) (e13)) = (e10)))/\(((~((op1 (e11) (e11)) = (e13)))\/((op1 (e11) (e13)) = (e11)))/\(((~((op1 (e12) (e12)) = (e13)))\/((op1 (e12) (e13)) = (e12)))/\((~((op1 (e13) (e13)) = (e13)))\/((op1 (e13) (e13)) = (e13))))))))))))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (((op2 (e21) (e20)) = (e20))\/(((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e20)) = (e22))\/((op2 (e21) (e20)) = (e23))))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> ((op2 (e21) (op2 (e21) (e22))) = (e22)) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((e10) = (e12))) -> (((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e21))\/((op2 (e23) (e20)) = (e21))))) -> ((op2 (e21) (op2 (e21) (e21))) = (e21)) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> (((op2 (e20) (e21)) = (e20))\/(((op2 (e20) (e21)) = (e21))\/(((op2 (e20) (e21)) = (e22))\/((op2 (e20) (e21)) = (e23))))) -> ((op2 (e22) (e21)) = (e22)) -> (~((e21) = (e22))) -> (~((op2 (e21) (e21)) = (e21))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> ((e22) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> ((e23) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((e20) = (op2 (e21) (e21))) -> (((op2 (e21) (e22)) = (e20))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e22)) = (e23))))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> ((h2 (e11)) = (e21)) -> ((h2 (e12)) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> (~((h2 (op1 (e11) (e12))) = (op2 (h2 (e11)) (h2 (e12))))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e21)) = (op2 (e21) (e22)))) -> (((op2 (e20) (e21)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e23) (e21)) = (e22))))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> (~((e22) = (e23))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (((op2 (e22) (e22)) = (e20))\/(((op2 (e22) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e22)) = (e23))))) -> (~((op2 (e22) (e22)) = (e21))) -> ((op2 (e22) (e20)) = (e20)) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> (((op2 (e22) (e20)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e22) (e23)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e21)) = (e22))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> ((op2 (e21) (op2 (e21) (e23))) = (e23)) -> (~((op2 (e21) (e22)) = (op2 (e21) (e23)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (((op2 (e21) (e20)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/((op2 (e21) (e23)) = (e23))))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (~((op2 (e22) (e22)) = (e22))) -> (~((op2 (e22) (e23)) = (e22))) -> (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e22)))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e20) (e21)) = (e23))\/(((op2 (e20) (e22)) = (e23))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e20)) = (e21))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (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)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (((op1 (e10) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e12) (e11)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((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 (e11) (e11)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e12) (e13)) = (e10))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> ((((op1 (e10) (e10)) = (e10))/\(((op1 (e10) (e10)) = (e10))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11))))/\(((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12))))/\((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))))))))\/((((op1 (e10) (e11)) = (e10))/\(((op1 (e11) (e10)) = (e10))/\(((~((op1 (e11) (e10)) = (e11)))\/(~((op1 (e11) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e11) (e12)) = (e11)))\/(~((op1 (e11) (e11)) = (e12))))/\((~((op1 (e11) (e13)) = (e11)))\/(~((op1 (e11) (e11)) = (e13)))))))))\/((((op1 (e10) (e12)) = (e10))/\(((op1 (e12) (e10)) = (e10))/\(((~((op1 (e12) (e10)) = (e12)))\/(~((op1 (e12) (e12)) = (e10))))/\(((~((op1 (e12) (e11)) = (e12)))\/(~((op1 (e12) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13)))))))))\/((((op1 (e10) (e13)) = (e10))/\(((op1 (e13) (e10)) = (e10))/\(((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e13) (e13)) = (e10))))/\(((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11))))/\(((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e13) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13)))))))))\/((((op1 (e11) (e10)) = (e11))/\(((op1 (e10) (e11)) = (e11))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11))))/\(((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12))))/\((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))))))))\/((((op1 (e11) (e11)) = (e11))/\(((op1 (e11) (e11)) = (e11))/\(((~((op1 (e11) (e10)) = (e11)))\/(~((op1 (e11) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e11) (e12)) = (e11)))\/(~((op1 (e11) (e11)) = (e12))))/\((~((op1 (e11) (e13)) = (e11)))\/(~((op1 (e11) (e11)) = (e13)))))))))\/((((op1 (e11) (e12)) = (e11))/\(((op1 (e12) (e11)) = (e11))/\(((~((op1 (e12) (e10)) = (e12)))\/(~((op1 (e12) (e12)) = (e10))))/\(((~((op1 (e12) (e11)) = (e12)))\/(~((op1 (e12) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13)))))))))\/((((op1 (e11) (e13)) = (e11))/\(((op1 (e13) (e11)) = (e11))/\(((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e13) (e13)) = (e10))))/\(((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11))))/\(((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e13) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13)))))))))\/((((op1 (e12) (e10)) = (e12))/\(((op1 (e10) (e12)) = (e12))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11))))/\(((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12))))/\((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))))))))\/((((op1 (e12) (e11)) = (e12))/\(((op1 (e11) (e12)) = (e12))/\(((~((op1 (e11) (e10)) = (e11)))\/(~((op1 (e11) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e11) (e12)) = (e11)))\/(~((op1 (e11) (e11)) = (e12))))/\((~((op1 (e11) (e13)) = (e11)))\/(~((op1 (e11) (e11)) = (e13)))))))))\/((((op1 (e12) (e12)) = (e12))/\(((op1 (e12) (e12)) = (e12))/\(((~((op1 (e12) (e10)) = (e12)))\/(~((op1 (e12) (e12)) = (e10))))/\(((~((op1 (e12) (e11)) = (e12)))\/(~((op1 (e12) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13)))))))))\/((((op1 (e12) (e13)) = (e12))/\(((op1 (e13) (e12)) = (e12))/\(((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e13) (e13)) = (e10))))/\(((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11))))/\(((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e13) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13)))))))))\/((((op1 (e13) (e10)) = (e13))/\(((op1 (e10) (e13)) = (e13))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11))))/\(((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12))))/\((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))))))))\/((((op1 (e13) (e11)) = (e13))/\(((op1 (e11) (e13)) = (e13))/\(((~((op1 (e11) (e10)) = (e11)))\/(~((op1 (e11) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e11) (e12)) = (e11)))\/(~((op1 (e11) (e11)) = (e12))))/\((~((op1 (e11) (e13)) = (e11)))\/(~((op1 (e11) (e11)) = (e13)))))))))\/((((op1 (e13) (e12)) = (e13))/\(((op1 (e12) (e13)) = (e13))/\(((~((op1 (e12) (e10)) = (e12)))\/(~((op1 (e12) (e12)) = (e10))))/\(((~((op1 (e12) (e11)) = (e12)))\/(~((op1 (e12) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13)))))))))\/(((op1 (e13) (e13)) = (e13))/\(((op1 (e13) (e13)) = (e13))/\(((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e13) (e13)) = (e10))))/\(((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11))))/\(((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e13) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13)))))))))))))))))))))))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((e12) = (e13))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e13)) = (e10))\/(((op1 (e13) (e13)) = (e11))\/(((op1 (e13) (e13)) = (e12))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> ((e12) = (op1 (op1 (op1 (e11) (e11)) (op1 (e11) (e11))) (op1 (e11) (e11)))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e12))\/((op1 (e11) (e10)) = (e13))))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> ((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) -> ((e10) = (op1 (e11) (e11))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> False).
% 54.87/55.02 do 0 intro. intros zenon_H36e zenon_H192 zenon_H4a zenon_H32 zenon_H394 zenon_H485 zenon_H47e zenon_H6e zenon_H481 zenon_H3a8 zenon_H16c zenon_H49e zenon_H499 zenon_H498 zenon_H28c zenon_H8d zenon_H93 zenon_H289 zenon_Hd3 zenon_H27e zenon_H28d zenon_H3e zenon_H3f zenon_H3b zenon_H33 zenon_H40f zenon_H437 zenon_H474 zenon_H1ed zenon_H2b1 zenon_H2a5 zenon_H270 zenon_H44f zenon_H4a2 zenon_H1de zenon_H1fa zenon_Hc5 zenon_H7a zenon_H3fd zenon_H11f zenon_Hec zenon_H47c zenon_H100 zenon_H101 zenon_H121 zenon_H37d zenon_H3f1 zenon_H45 zenon_H3b4 zenon_H39d zenon_H282 zenon_H60 zenon_H3af zenon_H3b1 zenon_H116 zenon_H395 zenon_H47a zenon_H9f zenon_H399 zenon_Hb0 zenon_H286 zenon_Hd7 zenon_H281 zenon_Hf1 zenon_H4ae zenon_H98 zenon_Ha5 zenon_H49d zenon_H1e8 zenon_H1f7 zenon_H32b zenon_H206 zenon_H32e zenon_H1a9 zenon_H246 zenon_H2fd zenon_H2c0 zenon_H2b9 zenon_H328 zenon_H325 zenon_H322 zenon_H1f4 zenon_H2c2 zenon_H321 zenon_H301 zenon_H30b zenon_H204 zenon_H30e zenon_H316 zenon_H19d zenon_H2ea zenon_H2e2 zenon_H2a3 zenon_H2e6 zenon_H2d9 zenon_H1cc zenon_H2d1 zenon_H245 zenon_H1d8 zenon_H1da zenon_H209 zenon_H358 zenon_H2c9 zenon_H355 zenon_H1fd zenon_H2f6 zenon_H23b zenon_H2ad zenon_H236 zenon_H2e7 zenon_H21a zenon_H313 zenon_H1be zenon_H345 zenon_H20c zenon_H1b1 zenon_H186 zenon_H180 zenon_H179 zenon_H172 zenon_H18e zenon_H14b zenon_H154 zenon_H155 zenon_H15a zenon_H15f zenon_H2fb zenon_H360 zenon_H2f8 zenon_H35d zenon_H18a zenon_H17 zenon_H15 zenon_H13 zenon_H1e zenon_H25 zenon_H1a0.
% 54.87/55.02 apply (zenon_or_s _ _ zenon_H36e); [ zenon_intro zenon_H244 | zenon_intro zenon_H36f ].
% 54.87/55.02 apply (zenon_L126_); trivial.
% 54.87/55.02 apply (zenon_or_s _ _ zenon_H36f); [ zenon_intro zenon_H371 | zenon_intro zenon_H370 ].
% 54.87/55.02 apply (zenon_and_s _ _ zenon_H371). zenon_intro zenon_H292. zenon_intro zenon_H372.
% 54.87/55.02 apply (zenon_and_s _ _ zenon_H372). zenon_intro zenon_H2a6. zenon_intro zenon_H373.
% 54.87/55.02 apply (zenon_and_s _ _ zenon_H373). zenon_intro zenon_H375. zenon_intro zenon_H374.
% 54.87/55.02 apply (zenon_and_s _ _ zenon_H374). zenon_intro zenon_H29e. zenon_intro zenon_H376.
% 54.87/55.02 apply (zenon_and_s _ _ zenon_H376). zenon_intro zenon_H378. zenon_intro zenon_H377.
% 54.87/55.02 apply (zenon_and_s _ _ zenon_H377). zenon_intro zenon_H37a. zenon_intro zenon_H379.
% 54.87/55.02 apply (zenon_and_s _ _ zenon_H379). zenon_intro zenon_H37c. zenon_intro zenon_H37b.
% 54.87/55.02 apply (zenon_or_s _ _ zenon_H37a); [ zenon_intro zenon_H473 | zenon_intro zenon_H1a7 ].
% 54.87/55.02 apply (zenon_or_s _ _ zenon_H37c); [ zenon_intro zenon_H23f | zenon_intro zenon_H202 ].
% 54.87/55.02 apply (zenon_or_s _ _ zenon_H37b); [ zenon_intro zenon_H20d | zenon_intro zenon_H1c3 ].
% 54.87/55.02 apply (zenon_or_s _ _ zenon_H245); [ zenon_intro zenon_H147 | zenon_intro zenon_H254 ].
% 54.87/55.02 apply (zenon_L60_); trivial.
% 54.87/55.02 apply (zenon_or_s _ _ zenon_H254); [ zenon_intro zenon_H164 | zenon_intro zenon_H255 ].
% 54.87/55.02 apply (zenon_L66_); trivial.
% 54.87/55.02 apply (zenon_or_s _ _ zenon_H255); [ zenon_intro zenon_H197 | zenon_intro zenon_H256 ].
% 54.87/55.02 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_H18f. zenon_intro zenon_H198.
% 54.87/55.02 apply (zenon_and_s _ _ zenon_H198). zenon_intro zenon_H293. zenon_intro zenon_H227.
% 54.87/55.02 apply (zenon_and_s _ _ zenon_H227). zenon_intro zenon_H229. zenon_intro zenon_H228.
% 54.87/55.02 apply (zenon_and_s _ _ zenon_H228). zenon_intro zenon_H22b. zenon_intro zenon_H22a.
% 54.87/55.02 apply (zenon_and_s _ _ zenon_H22a). zenon_intro zenon_H224. zenon_intro zenon_H22c.
% 54.87/55.02 apply (zenon_or_s _ _ zenon_H224); [ zenon_intro zenon_H1d1 | zenon_intro zenon_H1d1 ].
% 54.87/55.02 apply (zenon_L599_); trivial.
% 54.87/55.02 apply (zenon_L599_); trivial.
% 54.87/55.02 apply (zenon_or_s _ _ zenon_H256); [ zenon_intro zenon_H199 | zenon_intro zenon_H257 ].
% 54.87/55.02 apply (zenon_L77_); trivial.
% 54.87/55.02 apply (zenon_or_s _ _ zenon_H257); [ zenon_intro zenon_H259 | zenon_intro zenon_H258 ].
% 54.87/55.02 apply (zenon_L600_); trivial.
% 54.87/55.02 apply (zenon_or_s _ _ zenon_H258); [ zenon_intro zenon_H1a5 | zenon_intro zenon_H262 ].
% 54.87/55.02 apply (zenon_L80_); trivial.
% 54.87/55.02 apply (zenon_or_s _ _ zenon_H262); [ zenon_intro zenon_H1ae | zenon_intro zenon_H263 ].
% 54.87/55.02 apply (zenon_L83_); trivial.
% 54.87/55.02 apply (zenon_or_s _ _ zenon_H263); [ zenon_intro zenon_H212 | zenon_intro zenon_H264 ].
% 54.87/55.02 apply (zenon_L161_); trivial.
% 54.87/55.02 apply (zenon_or_s _ _ zenon_H264); [ zenon_intro zenon_H220 | zenon_intro zenon_H265 ].
% 54.87/55.02 apply (zenon_L110_); trivial.
% 54.87/55.02 apply (zenon_or_s _ _ zenon_H265); [ zenon_intro zenon_H222 | zenon_intro zenon_H266 ].
% 54.87/55.02 apply (zenon_L111_); trivial.
% 54.87/55.02 apply (zenon_or_s _ _ zenon_H266); [ zenon_intro zenon_H225 | zenon_intro zenon_H267 ].
% 54.87/55.02 apply (zenon_L113_); trivial.
% 54.87/55.02 apply (zenon_or_s _ _ zenon_H267); [ zenon_intro zenon_H22d | zenon_intro zenon_H268 ].
% 54.87/55.02 apply (zenon_L114_); trivial.
% 54.87/55.02 apply (zenon_or_s _ _ zenon_H268); [ zenon_intro zenon_H230 | zenon_intro zenon_H269 ].
% 54.87/55.02 apply (zenon_L115_); trivial.
% 54.87/55.02 apply (zenon_or_s _ _ zenon_H269); [ zenon_intro zenon_H232 | zenon_intro zenon_H26a ].
% 54.87/55.02 apply (zenon_L116_); trivial.
% 54.87/55.02 apply (zenon_or_s _ _ zenon_H26a); [ zenon_intro zenon_H240 | zenon_intro zenon_H242 ].
% 54.87/55.02 apply (zenon_L166_); trivial.
% 54.87/55.02 apply (zenon_L125_); trivial.
% 54.87/55.02 apply (zenon_or_s _ _ zenon_H245); [ zenon_intro zenon_H147 | zenon_intro zenon_H254 ].
% 54.87/55.02 apply (zenon_L60_); trivial.
% 54.87/55.02 apply (zenon_or_s _ _ zenon_H254); [ zenon_intro zenon_H164 | zenon_intro zenon_H255 ].
% 54.87/55.02 apply (zenon_L66_); trivial.
% 54.87/55.02 apply (zenon_or_s _ _ zenon_H255); [ zenon_intro zenon_H197 | zenon_intro zenon_H256 ].
% 54.87/55.02 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_H18f. zenon_intro zenon_H198.
% 54.87/55.02 apply (zenon_and_s _ _ zenon_H198). zenon_intro zenon_H293. zenon_intro zenon_H227.
% 54.87/55.02 apply (zenon_and_s _ _ zenon_H227). zenon_intro zenon_H229. zenon_intro zenon_H228.
% 54.87/55.02 apply (zenon_and_s _ _ zenon_H228). zenon_intro zenon_H22b. zenon_intro zenon_H22a.
% 54.87/55.02 apply (zenon_and_s _ _ zenon_H22a). zenon_intro zenon_H224. zenon_intro zenon_H22c.
% 54.87/55.02 apply (zenon_or_s _ _ zenon_H224); [ zenon_intro zenon_H1d1 | zenon_intro zenon_H1d1 ].
% 54.87/55.02 apply (zenon_L604_); trivial.
% 54.87/55.02 apply (zenon_L604_); trivial.
% 54.87/55.02 apply (zenon_or_s _ _ zenon_H256); [ zenon_intro zenon_H199 | zenon_intro zenon_H257 ].
% 54.87/55.02 apply (zenon_L77_); trivial.
% 54.87/55.02 apply (zenon_or_s _ _ zenon_H257); [ zenon_intro zenon_H259 | zenon_intro zenon_H258 ].
% 54.87/55.02 apply (zenon_L600_); trivial.
% 54.87/55.02 apply (zenon_or_s _ _ zenon_H258); [ zenon_intro zenon_H1a5 | zenon_intro zenon_H262 ].
% 54.87/55.02 apply (zenon_L80_); trivial.
% 54.87/55.02 apply (zenon_or_s _ _ zenon_H262); [ zenon_intro zenon_H1ae | zenon_intro zenon_H263 ].
% 54.87/55.02 apply (zenon_L83_); trivial.
% 54.87/55.02 apply (zenon_or_s _ _ zenon_H263); [ zenon_intro zenon_H212 | zenon_intro zenon_H264 ].
% 54.87/55.02 apply (zenon_L167_); trivial.
% 54.87/55.02 apply (zenon_or_s _ _ zenon_H264); [ zenon_intro zenon_H220 | zenon_intro zenon_H265 ].
% 54.87/55.02 apply (zenon_L110_); trivial.
% 54.87/55.02 apply (zenon_or_s _ _ zenon_H265); [ zenon_intro zenon_H222 | zenon_intro zenon_H266 ].
% 54.87/55.02 apply (zenon_L111_); trivial.
% 54.87/55.02 apply (zenon_or_s _ _ zenon_H266); [ zenon_intro zenon_H225 | zenon_intro zenon_H267 ].
% 54.87/55.02 apply (zenon_L113_); trivial.
% 54.87/55.02 apply (zenon_or_s _ _ zenon_H267); [ zenon_intro zenon_H22d | zenon_intro zenon_H268 ].
% 54.87/55.02 apply (zenon_L114_); trivial.
% 54.87/55.02 apply (zenon_or_s _ _ zenon_H268); [ zenon_intro zenon_H230 | zenon_intro zenon_H269 ].
% 54.87/55.02 apply (zenon_L115_); trivial.
% 54.87/55.02 apply (zenon_or_s _ _ zenon_H269); [ zenon_intro zenon_H232 | zenon_intro zenon_H26a ].
% 54.87/55.02 apply (zenon_L116_); trivial.
% 54.87/55.02 apply (zenon_or_s _ _ zenon_H26a); [ zenon_intro zenon_H240 | zenon_intro zenon_H242 ].
% 54.87/55.02 apply (zenon_L166_); trivial.
% 54.87/55.02 apply (zenon_L125_); trivial.
% 54.87/55.02 apply (zenon_or_s _ _ zenon_H245); [ zenon_intro zenon_H147 | zenon_intro zenon_H254 ].
% 54.87/55.02 apply (zenon_L60_); trivial.
% 54.87/55.02 apply (zenon_or_s _ _ zenon_H254); [ zenon_intro zenon_H164 | zenon_intro zenon_H255 ].
% 54.87/55.02 apply (zenon_L66_); trivial.
% 54.87/55.02 apply (zenon_or_s _ _ zenon_H255); [ zenon_intro zenon_H197 | zenon_intro zenon_H256 ].
% 54.87/55.02 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_H18f. zenon_intro zenon_H198.
% 54.87/55.02 apply (zenon_and_s _ _ zenon_H198). zenon_intro zenon_H293. zenon_intro zenon_H227.
% 54.87/55.02 apply (zenon_and_s _ _ zenon_H227). zenon_intro zenon_H229. zenon_intro zenon_H228.
% 54.87/55.02 apply (zenon_and_s _ _ zenon_H228). zenon_intro zenon_H22b. zenon_intro zenon_H22a.
% 54.87/55.02 apply (zenon_and_s _ _ zenon_H22a). zenon_intro zenon_H224. zenon_intro zenon_H22c.
% 54.87/55.02 apply (zenon_or_s _ _ zenon_H22b); [ zenon_intro zenon_H23c | zenon_intro zenon_H23f ].
% 54.87/55.02 exact (zenon_H23c zenon_H202).
% 54.87/55.02 apply (zenon_or_s _ _ zenon_H224); [ zenon_intro zenon_H1d1 | zenon_intro zenon_H1d1 ].
% 54.87/55.02 apply (zenon_L609_); trivial.
% 54.87/55.02 apply (zenon_L609_); trivial.
% 54.87/55.02 apply (zenon_or_s _ _ zenon_H256); [ zenon_intro zenon_H199 | zenon_intro zenon_H257 ].
% 54.87/55.02 apply (zenon_L77_); trivial.
% 54.87/55.02 apply (zenon_or_s _ _ zenon_H257); [ zenon_intro zenon_H259 | zenon_intro zenon_H258 ].
% 54.87/55.02 apply (zenon_L600_); trivial.
% 54.87/55.02 apply (zenon_or_s _ _ zenon_H258); [ zenon_intro zenon_H1a5 | zenon_intro zenon_H262 ].
% 54.87/55.02 apply (zenon_L80_); trivial.
% 54.87/55.02 apply (zenon_or_s _ _ zenon_H262); [ zenon_intro zenon_H1ae | zenon_intro zenon_H263 ].
% 54.87/55.02 apply (zenon_L83_); trivial.
% 54.87/55.02 apply (zenon_or_s _ _ zenon_H263); [ zenon_intro zenon_H212 | zenon_intro zenon_H264 ].
% 54.87/55.02 apply (zenon_L169_); trivial.
% 54.87/55.02 apply (zenon_or_s _ _ zenon_H264); [ zenon_intro zenon_H220 | zenon_intro zenon_H265 ].
% 54.87/55.02 apply (zenon_L110_); trivial.
% 54.87/55.02 apply (zenon_or_s _ _ zenon_H265); [ zenon_intro zenon_H222 | zenon_intro zenon_H266 ].
% 54.87/55.02 apply (zenon_L111_); trivial.
% 54.87/55.02 apply (zenon_or_s _ _ zenon_H266); [ zenon_intro zenon_H225 | zenon_intro zenon_H267 ].
% 54.87/55.02 apply (zenon_L113_); trivial.
% 54.87/55.02 apply (zenon_or_s _ _ zenon_H267); [ zenon_intro zenon_H22d | zenon_intro zenon_H268 ].
% 54.87/55.02 apply (zenon_L114_); trivial.
% 54.87/55.02 apply (zenon_or_s _ _ zenon_H268); [ zenon_intro zenon_H230 | zenon_intro zenon_H269 ].
% 54.87/55.02 apply (zenon_L115_); trivial.
% 54.87/55.02 apply (zenon_or_s _ _ zenon_H269); [ zenon_intro zenon_H232 | zenon_intro zenon_H26a ].
% 54.87/55.02 apply (zenon_L116_); trivial.
% 54.87/55.02 apply (zenon_or_s _ _ zenon_H26a); [ zenon_intro zenon_H240 | zenon_intro zenon_H242 ].
% 54.87/55.02 apply (zenon_L166_); trivial.
% 54.87/55.02 apply (zenon_L125_); trivial.
% 54.87/55.02 apply (zenon_L532_); trivial.
% 54.87/55.02 apply (zenon_or_s _ _ zenon_H370); [ zenon_intro zenon_H335 | zenon_intro zenon_H363 ].
% 54.87/55.02 apply (zenon_L260_); trivial.
% 54.87/55.02 apply (zenon_L307_); trivial.
% 54.87/55.02 (* end of lemma zenon_L610_ *)
% 54.87/55.02 assert (zenon_L611_ : ((~((op2 (e22) (e23)) = (e22)))\/(~((op2 (e22) (e22)) = (e23)))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e12))\/((op1 (e11) (e10)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> ((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) -> ((e12) = (op1 (op1 (op1 (e11) (e11)) (op1 (e11) (e11))) (op1 (e11) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((e10) = (e12))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e11)) = (e12))\/((op1 (e10) (e11)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (((op1 (e13) (e13)) = (e10))\/(((op1 (e13) (e13)) = (e11))\/(((op1 (e13) (e13)) = (e12))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (~((e12) = (e13))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> ((((op1 (e10) (e10)) = (e10))/\(((op1 (e10) (e10)) = (e10))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11))))/\(((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12))))/\((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))))))))\/((((op1 (e10) (e11)) = (e10))/\(((op1 (e11) (e10)) = (e10))/\(((~((op1 (e11) (e10)) = (e11)))\/(~((op1 (e11) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e11) (e12)) = (e11)))\/(~((op1 (e11) (e11)) = (e12))))/\((~((op1 (e11) (e13)) = (e11)))\/(~((op1 (e11) (e11)) = (e13)))))))))\/((((op1 (e10) (e12)) = (e10))/\(((op1 (e12) (e10)) = (e10))/\(((~((op1 (e12) (e10)) = (e12)))\/(~((op1 (e12) (e12)) = (e10))))/\(((~((op1 (e12) (e11)) = (e12)))\/(~((op1 (e12) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13)))))))))\/((((op1 (e10) (e13)) = (e10))/\(((op1 (e13) (e10)) = (e10))/\(((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e13) (e13)) = (e10))))/\(((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11))))/\(((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e13) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13)))))))))\/((((op1 (e11) (e10)) = (e11))/\(((op1 (e10) (e11)) = (e11))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11))))/\(((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12))))/\((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))))))))\/((((op1 (e11) (e11)) = (e11))/\(((op1 (e11) (e11)) = (e11))/\(((~((op1 (e11) (e10)) = (e11)))\/(~((op1 (e11) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e11) (e12)) = (e11)))\/(~((op1 (e11) (e11)) = (e12))))/\((~((op1 (e11) (e13)) = (e11)))\/(~((op1 (e11) (e11)) = (e13)))))))))\/((((op1 (e11) (e12)) = (e11))/\(((op1 (e12) (e11)) = (e11))/\(((~((op1 (e12) (e10)) = (e12)))\/(~((op1 (e12) (e12)) = (e10))))/\(((~((op1 (e12) (e11)) = (e12)))\/(~((op1 (e12) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13)))))))))\/((((op1 (e11) (e13)) = (e11))/\(((op1 (e13) (e11)) = (e11))/\(((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e13) (e13)) = (e10))))/\(((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11))))/\(((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e13) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13)))))))))\/((((op1 (e12) (e10)) = (e12))/\(((op1 (e10) (e12)) = (e12))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11))))/\(((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12))))/\((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))))))))\/((((op1 (e12) (e11)) = (e12))/\(((op1 (e11) (e12)) = (e12))/\(((~((op1 (e11) (e10)) = (e11)))\/(~((op1 (e11) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e11) (e12)) = (e11)))\/(~((op1 (e11) (e11)) = (e12))))/\((~((op1 (e11) (e13)) = (e11)))\/(~((op1 (e11) (e11)) = (e13)))))))))\/((((op1 (e12) (e12)) = (e12))/\(((op1 (e12) (e12)) = (e12))/\(((~((op1 (e12) (e10)) = (e12)))\/(~((op1 (e12) (e12)) = (e10))))/\(((~((op1 (e12) (e11)) = (e12)))\/(~((op1 (e12) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13)))))))))\/((((op1 (e12) (e13)) = (e12))/\(((op1 (e13) (e12)) = (e12))/\(((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e13) (e13)) = (e10))))/\(((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11))))/\(((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e13) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13)))))))))\/((((op1 (e13) (e10)) = (e13))/\(((op1 (e10) (e13)) = (e13))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11))))/\(((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12))))/\((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))))))))\/((((op1 (e13) (e11)) = (e13))/\(((op1 (e11) (e13)) = (e13))/\(((~((op1 (e11) (e10)) = (e11)))\/(~((op1 (e11) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e11) (e12)) = (e11)))\/(~((op1 (e11) (e11)) = (e12))))/\((~((op1 (e11) (e13)) = (e11)))\/(~((op1 (e11) (e11)) = (e13)))))))))\/((((op1 (e13) (e12)) = (e13))/\(((op1 (e12) (e13)) = (e13))/\(((~((op1 (e12) (e10)) = (e12)))\/(~((op1 (e12) (e12)) = (e10))))/\(((~((op1 (e12) (e11)) = (e12)))\/(~((op1 (e12) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13)))))))))\/(((op1 (e13) (e13)) = (e13))/\(((op1 (e13) (e13)) = (e13))/\(((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e13) (e13)) = (e10))))/\(((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11))))/\(((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e13) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13)))))))))))))))))))))))) -> ((e10) = (op1 (e11) (e11))) -> (((op2 (e21) (e20)) = (e20))\/(((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e20)) = (e22))\/((op2 (e21) (e20)) = (e23))))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> ((op2 (e21) (op2 (e21) (e22))) = (e22)) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e21))\/((op2 (e23) (e20)) = (e21))))) -> ((op2 (e21) (op2 (e21) (e21))) = (e21)) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> (((op2 (e20) (e21)) = (e20))\/(((op2 (e20) (e21)) = (e21))\/(((op2 (e20) (e21)) = (e22))\/((op2 (e20) (e21)) = (e23))))) -> ((op2 (e22) (e21)) = (e22)) -> (~((e21) = (e22))) -> (~((op2 (e21) (e21)) = (e21))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> ((e22) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> ((e23) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((e20) = (op2 (e21) (e21))) -> (((op2 (e21) (e22)) = (e20))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e22)) = (e23))))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> ((h2 (e11)) = (e21)) -> ((h2 (e12)) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> (~((h2 (op1 (e11) (e12))) = (op2 (h2 (e11)) (h2 (e12))))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e21)) = (op2 (e21) (e22)))) -> (((op2 (e20) (e21)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e23) (e21)) = (e22))))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> (~((e22) = (e23))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (((op2 (e22) (e22)) = (e20))\/(((op2 (e22) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e22)) = (e23))))) -> (~((op2 (e22) (e22)) = (e21))) -> ((op2 (e22) (e20)) = (e20)) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> (((op2 (e22) (e20)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e22) (e23)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e21)) = (e22))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> ((op2 (e21) (op2 (e21) (e23))) = (e23)) -> (~((op2 (e21) (e22)) = (op2 (e21) (e23)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (((op2 (e21) (e20)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/((op2 (e21) (e23)) = (e23))))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (~((op2 (e22) (e22)) = (e22))) -> (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e22)))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e20) (e21)) = (e23))\/(((op2 (e20) (e22)) = (e23))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e20)) = (e21))) -> (((op1 (e10) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e12) (e11)) = (e13))))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e12) (e13)) = (e10))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> ((((op1 (e10) (op1 (e10) (e10))) = (e10))/\(((op1 (e10) (op1 (e10) (e11))) = (e11))/\(((op1 (e10) (op1 (e10) (e12))) = (e12))/\(((op1 (e10) (op1 (e10) (e13))) = (e13))/\(((~((op1 (e10) (e10)) = (e10)))\/((op1 (e10) (e10)) = (e10)))/\(((~((op1 (e11) (e11)) = (e10)))\/((op1 (e11) (e10)) = (e11)))/\(((~((op1 (e12) (e12)) = (e10)))\/((op1 (e12) (e10)) = (e12)))/\((~((op1 (e13) (e13)) = (e10)))\/((op1 (e13) (e10)) = (e13))))))))))\/((((op1 (e11) (op1 (e11) (e10))) = (e10))/\(((op1 (e11) (op1 (e11) (e11))) = (e11))/\(((op1 (e11) (op1 (e11) (e12))) = (e12))/\(((op1 (e11) (op1 (e11) (e13))) = (e13))/\(((~((op1 (e10) (e10)) = (e11)))\/((op1 (e10) (e11)) = (e10)))/\(((~((op1 (e11) (e11)) = (e11)))\/((op1 (e11) (e11)) = (e11)))/\(((~((op1 (e12) (e12)) = (e11)))\/((op1 (e12) (e11)) = (e12)))/\((~((op1 (e13) (e13)) = (e11)))\/((op1 (e13) (e11)) = (e13))))))))))\/((((op1 (e12) (op1 (e12) (e10))) = (e10))/\(((op1 (e12) (op1 (e12) (e11))) = (e11))/\(((op1 (e12) (op1 (e12) (e12))) = (e12))/\(((op1 (e12) (op1 (e12) (e13))) = (e13))/\(((~((op1 (e10) (e10)) = (e12)))\/((op1 (e10) (e12)) = (e10)))/\(((~((op1 (e11) (e11)) = (e12)))\/((op1 (e11) (e12)) = (e11)))/\(((~((op1 (e12) (e12)) = (e12)))\/((op1 (e12) (e12)) = (e12)))/\((~((op1 (e13) (e13)) = (e12)))\/((op1 (e13) (e12)) = (e13))))))))))\/(((op1 (e13) (op1 (e13) (e10))) = (e10))/\(((op1 (e13) (op1 (e13) (e11))) = (e11))/\(((op1 (e13) (op1 (e13) (e12))) = (e12))/\(((op1 (e13) (op1 (e13) (e13))) = (e13))/\(((~((op1 (e10) (e10)) = (e13)))\/((op1 (e10) (e13)) = (e10)))/\(((~((op1 (e11) (e11)) = (e13)))\/((op1 (e11) (e13)) = (e11)))/\(((~((op1 (e12) (e12)) = (e13)))\/((op1 (e12) (e13)) = (e12)))/\((~((op1 (e13) (e13)) = (e13)))\/((op1 (e13) (e13)) = (e13))))))))))))) -> False).
% 54.87/55.02 do 0 intro. intros zenon_Hdf zenon_H15f zenon_H15a zenon_H15 zenon_H155 zenon_H154 zenon_H14b zenon_H186 zenon_H180 zenon_H179 zenon_H172 zenon_H16c zenon_H18a zenon_H18e zenon_H192 zenon_H246 zenon_H19d zenon_H1a0 zenon_H25 zenon_H1e zenon_H17 zenon_H1a9 zenon_H209 zenon_H206 zenon_H204 zenon_H1fd zenon_H1fa zenon_H1f7 zenon_H1f4 zenon_H1ed zenon_H1e8 zenon_H1da zenon_H1d8 zenon_H1cc zenon_H1de zenon_H1b1 zenon_H1be zenon_H20c zenon_H21a zenon_H236 zenon_H23b zenon_H245 zenon_H13 zenon_H4a zenon_H32 zenon_H394 zenon_H328 zenon_H485 zenon_H47e zenon_H6e zenon_H481 zenon_H3a8 zenon_H49e zenon_H499 zenon_H498 zenon_H28c zenon_H8d zenon_H93 zenon_H289 zenon_Hd3 zenon_H27e zenon_H28d zenon_H3e zenon_H3f zenon_H3b zenon_H33 zenon_H40f zenon_H437 zenon_H474 zenon_H313 zenon_H2b1 zenon_H2a5 zenon_H2a3 zenon_H2c2 zenon_H2c0 zenon_H270 zenon_H44f zenon_H4a2 zenon_H32e zenon_H358 zenon_H2e7 zenon_H30e zenon_H2b9 zenon_H301 zenon_H2f8 zenon_H360 zenon_H316 zenon_H32b zenon_H2ad zenon_Hc5 zenon_H7a zenon_H3fd zenon_H11f zenon_Hec zenon_H47c zenon_H100 zenon_H101 zenon_H121 zenon_H37d zenon_H3f1 zenon_H45 zenon_H3b4 zenon_H39d zenon_H282 zenon_H60 zenon_H3af zenon_H3b1 zenon_H116 zenon_H395 zenon_H47a zenon_H9f zenon_H399 zenon_Hb0 zenon_H286 zenon_Hd7 zenon_Hf1 zenon_H4ae zenon_H98 zenon_Ha5 zenon_H49d zenon_H2fd zenon_H2fb zenon_H2f6 zenon_H325 zenon_H322 zenon_H321 zenon_H30b zenon_H2ea zenon_H2e2 zenon_H2e6 zenon_H2d9 zenon_H2c9 zenon_H2d1 zenon_H35d zenon_H345 zenon_H355 zenon_H36e.
% 54.87/55.02 apply (zenon_or_s _ _ zenon_Hdf); [ zenon_intro zenon_H281 | zenon_intro zenon_H37f ].
% 54.87/55.02 apply (zenon_L610_); trivial.
% 54.87/55.02 apply (zenon_L310_); trivial.
% 54.87/55.02 (* end of lemma zenon_L611_ *)
% 54.87/55.02 assert (zenon_L612_ : (((op2 (e20) (e22)) = (e20))/\(((op2 (e22) (e20)) = (e20))/\(((~((op2 (e22) (e20)) = (e22)))\/(~((op2 (e22) (e22)) = (e20))))/\(((~((op2 (e22) (e21)) = (e22)))\/(~((op2 (e22) (e22)) = (e21))))/\(((~((op2 (e22) (e22)) = (e22)))\/(~((op2 (e22) (e22)) = (e22))))/\((~((op2 (e22) (e23)) = (e22)))\/(~((op2 (e22) (e22)) = (e23))))))))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e12))\/((op1 (e11) (e10)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> ((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) -> ((e12) = (op1 (op1 (op1 (e11) (e11)) (op1 (e11) (e11))) (op1 (e11) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((e10) = (e12))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e11)) = (e12))\/((op1 (e10) (e11)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (((op1 (e13) (e13)) = (e10))\/(((op1 (e13) (e13)) = (e11))\/(((op1 (e13) (e13)) = (e12))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (~((e12) = (e13))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> ((((op1 (e10) (e10)) = (e10))/\(((op1 (e10) (e10)) = (e10))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11))))/\(((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12))))/\((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))))))))\/((((op1 (e10) (e11)) = (e10))/\(((op1 (e11) (e10)) = (e10))/\(((~((op1 (e11) (e10)) = (e11)))\/(~((op1 (e11) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e11) (e12)) = (e11)))\/(~((op1 (e11) (e11)) = (e12))))/\((~((op1 (e11) (e13)) = (e11)))\/(~((op1 (e11) (e11)) = (e13)))))))))\/((((op1 (e10) (e12)) = (e10))/\(((op1 (e12) (e10)) = (e10))/\(((~((op1 (e12) (e10)) = (e12)))\/(~((op1 (e12) (e12)) = (e10))))/\(((~((op1 (e12) (e11)) = (e12)))\/(~((op1 (e12) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13)))))))))\/((((op1 (e10) (e13)) = (e10))/\(((op1 (e13) (e10)) = (e10))/\(((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e13) (e13)) = (e10))))/\(((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11))))/\(((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e13) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13)))))))))\/((((op1 (e11) (e10)) = (e11))/\(((op1 (e10) (e11)) = (e11))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11))))/\(((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12))))/\((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))))))))\/((((op1 (e11) (e11)) = (e11))/\(((op1 (e11) (e11)) = (e11))/\(((~((op1 (e11) (e10)) = (e11)))\/(~((op1 (e11) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e11) (e12)) = (e11)))\/(~((op1 (e11) (e11)) = (e12))))/\((~((op1 (e11) (e13)) = (e11)))\/(~((op1 (e11) (e11)) = (e13)))))))))\/((((op1 (e11) (e12)) = (e11))/\(((op1 (e12) (e11)) = (e11))/\(((~((op1 (e12) (e10)) = (e12)))\/(~((op1 (e12) (e12)) = (e10))))/\(((~((op1 (e12) (e11)) = (e12)))\/(~((op1 (e12) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13)))))))))\/((((op1 (e11) (e13)) = (e11))/\(((op1 (e13) (e11)) = (e11))/\(((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e13) (e13)) = (e10))))/\(((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11))))/\(((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e13) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13)))))))))\/((((op1 (e12) (e10)) = (e12))/\(((op1 (e10) (e12)) = (e12))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11))))/\(((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12))))/\((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))))))))\/((((op1 (e12) (e11)) = (e12))/\(((op1 (e11) (e12)) = (e12))/\(((~((op1 (e11) (e10)) = (e11)))\/(~((op1 (e11) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e11) (e12)) = (e11)))\/(~((op1 (e11) (e11)) = (e12))))/\((~((op1 (e11) (e13)) = (e11)))\/(~((op1 (e11) (e11)) = (e13)))))))))\/((((op1 (e12) (e12)) = (e12))/\(((op1 (e12) (e12)) = (e12))/\(((~((op1 (e12) (e10)) = (e12)))\/(~((op1 (e12) (e12)) = (e10))))/\(((~((op1 (e12) (e11)) = (e12)))\/(~((op1 (e12) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13)))))))))\/((((op1 (e12) (e13)) = (e12))/\(((op1 (e13) (e12)) = (e12))/\(((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e13) (e13)) = (e10))))/\(((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11))))/\(((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e13) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13)))))))))\/((((op1 (e13) (e10)) = (e13))/\(((op1 (e10) (e13)) = (e13))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11))))/\(((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12))))/\((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))))))))\/((((op1 (e13) (e11)) = (e13))/\(((op1 (e11) (e13)) = (e13))/\(((~((op1 (e11) (e10)) = (e11)))\/(~((op1 (e11) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e11) (e12)) = (e11)))\/(~((op1 (e11) (e11)) = (e12))))/\((~((op1 (e11) (e13)) = (e11)))\/(~((op1 (e11) (e11)) = (e13)))))))))\/((((op1 (e13) (e12)) = (e13))/\(((op1 (e12) (e13)) = (e13))/\(((~((op1 (e12) (e10)) = (e12)))\/(~((op1 (e12) (e12)) = (e10))))/\(((~((op1 (e12) (e11)) = (e12)))\/(~((op1 (e12) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13)))))))))\/(((op1 (e13) (e13)) = (e13))/\(((op1 (e13) (e13)) = (e13))/\(((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e13) (e13)) = (e10))))/\(((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11))))/\(((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e13) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13)))))))))))))))))))))))) -> ((e10) = (op1 (e11) (e11))) -> (((op2 (e21) (e20)) = (e20))\/(((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e20)) = (e22))\/((op2 (e21) (e20)) = (e23))))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> ((op2 (e21) (op2 (e21) (e22))) = (e22)) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e21))\/((op2 (e23) (e20)) = (e21))))) -> ((op2 (e21) (op2 (e21) (e21))) = (e21)) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> (((op2 (e20) (e21)) = (e20))\/(((op2 (e20) (e21)) = (e21))\/(((op2 (e20) (e21)) = (e22))\/((op2 (e20) (e21)) = (e23))))) -> (~((e21) = (e22))) -> (~((op2 (e21) (e21)) = (e21))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> ((e22) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> ((e23) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((e20) = (op2 (e21) (e21))) -> (((op2 (e21) (e22)) = (e20))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e22)) = (e23))))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> ((h2 (e11)) = (e21)) -> ((h2 (e12)) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> (~((h2 (op1 (e11) (e12))) = (op2 (h2 (e11)) (h2 (e12))))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e21)) = (op2 (e21) (e22)))) -> (((op2 (e20) (e21)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e23) (e21)) = (e22))))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> (~((e22) = (e23))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (((op2 (e22) (e22)) = (e20))\/(((op2 (e22) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e22)) = (e23))))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> (((op2 (e22) (e20)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e22) (e23)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e21)) = (e22))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> ((op2 (e21) (op2 (e21) (e23))) = (e23)) -> (~((op2 (e21) (e22)) = (op2 (e21) (e23)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (((op2 (e21) (e20)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/((op2 (e21) (e23)) = (e23))))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e22)))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e20) (e21)) = (e23))\/(((op2 (e20) (e22)) = (e23))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e20)) = (e21))) -> (((op1 (e10) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e12) (e11)) = (e13))))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e12) (e13)) = (e10))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> ((((op1 (e10) (op1 (e10) (e10))) = (e10))/\(((op1 (e10) (op1 (e10) (e11))) = (e11))/\(((op1 (e10) (op1 (e10) (e12))) = (e12))/\(((op1 (e10) (op1 (e10) (e13))) = (e13))/\(((~((op1 (e10) (e10)) = (e10)))\/((op1 (e10) (e10)) = (e10)))/\(((~((op1 (e11) (e11)) = (e10)))\/((op1 (e11) (e10)) = (e11)))/\(((~((op1 (e12) (e12)) = (e10)))\/((op1 (e12) (e10)) = (e12)))/\((~((op1 (e13) (e13)) = (e10)))\/((op1 (e13) (e10)) = (e13))))))))))\/((((op1 (e11) (op1 (e11) (e10))) = (e10))/\(((op1 (e11) (op1 (e11) (e11))) = (e11))/\(((op1 (e11) (op1 (e11) (e12))) = (e12))/\(((op1 (e11) (op1 (e11) (e13))) = (e13))/\(((~((op1 (e10) (e10)) = (e11)))\/((op1 (e10) (e11)) = (e10)))/\(((~((op1 (e11) (e11)) = (e11)))\/((op1 (e11) (e11)) = (e11)))/\(((~((op1 (e12) (e12)) = (e11)))\/((op1 (e12) (e11)) = (e12)))/\((~((op1 (e13) (e13)) = (e11)))\/((op1 (e13) (e11)) = (e13))))))))))\/((((op1 (e12) (op1 (e12) (e10))) = (e10))/\(((op1 (e12) (op1 (e12) (e11))) = (e11))/\(((op1 (e12) (op1 (e12) (e12))) = (e12))/\(((op1 (e12) (op1 (e12) (e13))) = (e13))/\(((~((op1 (e10) (e10)) = (e12)))\/((op1 (e10) (e12)) = (e10)))/\(((~((op1 (e11) (e11)) = (e12)))\/((op1 (e11) (e12)) = (e11)))/\(((~((op1 (e12) (e12)) = (e12)))\/((op1 (e12) (e12)) = (e12)))/\((~((op1 (e13) (e13)) = (e12)))\/((op1 (e13) (e12)) = (e13))))))))))\/(((op1 (e13) (op1 (e13) (e10))) = (e10))/\(((op1 (e13) (op1 (e13) (e11))) = (e11))/\(((op1 (e13) (op1 (e13) (e12))) = (e12))/\(((op1 (e13) (op1 (e13) (e13))) = (e13))/\(((~((op1 (e10) (e10)) = (e13)))\/((op1 (e10) (e13)) = (e10)))/\(((~((op1 (e11) (e11)) = (e13)))\/((op1 (e11) (e13)) = (e11)))/\(((~((op1 (e12) (e12)) = (e13)))\/((op1 (e12) (e13)) = (e12)))/\((~((op1 (e13) (e13)) = (e13)))\/((op1 (e13) (e13)) = (e13))))))))))))) -> ((op2 (e22) (e21)) = (e22)) -> False).
% 54.87/55.02 do 0 intro. intros zenon_H77 zenon_H15f zenon_H15a zenon_H15 zenon_H155 zenon_H154 zenon_H14b zenon_H186 zenon_H180 zenon_H179 zenon_H172 zenon_H16c zenon_H18a zenon_H18e zenon_H192 zenon_H246 zenon_H19d zenon_H1a0 zenon_H25 zenon_H1e zenon_H17 zenon_H1a9 zenon_H209 zenon_H206 zenon_H204 zenon_H1fd zenon_H1fa zenon_H1f7 zenon_H1f4 zenon_H1ed zenon_H1e8 zenon_H1da zenon_H1d8 zenon_H1cc zenon_H1de zenon_H1b1 zenon_H1be zenon_H20c zenon_H21a zenon_H236 zenon_H23b zenon_H245 zenon_H13 zenon_H4a zenon_H32 zenon_H394 zenon_H328 zenon_H485 zenon_H47e zenon_H6e zenon_H481 zenon_H3a8 zenon_H49e zenon_H499 zenon_H498 zenon_H28c zenon_H8d zenon_H93 zenon_H289 zenon_H27e zenon_H28d zenon_H3e zenon_H3f zenon_H3b zenon_H33 zenon_H40f zenon_H437 zenon_H474 zenon_H313 zenon_H2b1 zenon_H2a5 zenon_H2a3 zenon_H2c2 zenon_H2c0 zenon_H270 zenon_H44f zenon_H4a2 zenon_H32e zenon_H358 zenon_H2e7 zenon_H30e zenon_H2b9 zenon_H301 zenon_H2f8 zenon_H360 zenon_H316 zenon_H32b zenon_H2ad zenon_Hc5 zenon_H7a zenon_H3fd zenon_H11f zenon_Hec zenon_H47c zenon_H100 zenon_H37d zenon_H3f1 zenon_H45 zenon_H3b4 zenon_H39d zenon_H282 zenon_H60 zenon_H3af zenon_H3b1 zenon_H116 zenon_H395 zenon_H47a zenon_H9f zenon_H399 zenon_Hb0 zenon_H286 zenon_Hf1 zenon_H4ae zenon_H98 zenon_Ha5 zenon_H49d zenon_H2fd zenon_H2fb zenon_H2f6 zenon_H325 zenon_H322 zenon_H321 zenon_H30b zenon_H2ea zenon_H2e2 zenon_H2e6 zenon_H2d9 zenon_H2c9 zenon_H2d1 zenon_H35d zenon_H345 zenon_H355 zenon_H36e zenon_Hd3.
% 54.87/55.02 apply (zenon_and_s _ _ zenon_H77). zenon_intro zenon_H57. zenon_intro zenon_H78.
% 54.87/55.02 apply (zenon_and_s _ _ zenon_H78). zenon_intro zenon_H121. zenon_intro zenon_Hda.
% 54.87/55.02 apply (zenon_and_s _ _ zenon_Hda). zenon_intro zenon_Hdc. zenon_intro zenon_Hdb.
% 54.87/55.02 apply (zenon_and_s _ _ zenon_Hdb). zenon_intro zenon_Hde. zenon_intro zenon_Hdd.
% 54.87/55.02 apply (zenon_and_s _ _ zenon_Hdd). zenon_intro zenon_Hd5. zenon_intro zenon_Hdf.
% 54.87/55.02 apply (zenon_or_s _ _ zenon_Hde); [ zenon_intro zenon_Hf2 | zenon_intro zenon_H101 ].
% 54.87/55.02 exact (zenon_Hf2 zenon_Hd3).
% 54.87/55.02 apply (zenon_or_s _ _ zenon_Hd5); [ zenon_intro zenon_Hd7 | zenon_intro zenon_Hd7 ].
% 54.87/55.02 apply (zenon_L611_); trivial.
% 54.87/55.02 apply (zenon_L611_); trivial.
% 54.87/55.02 (* end of lemma zenon_L612_ *)
% 54.87/55.02 assert (zenon_L613_ : (~((h2 (op1 (e11) (e13))) = (op2 (h2 (e11)) (h2 (e13))))) -> ((op1 (e11) (e13)) = (e13)) -> ((op2 (e21) (e23)) = (e23)) -> ((h2 (e11)) = (e21)) -> ((h2 (e13)) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((e23) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> False).
% 54.87/55.02 do 0 intro. intros zenon_H4b1 zenon_H234 zenon_He9 zenon_H270 zenon_H461 zenon_H3b.
% 54.87/55.02 cut (((h2 (e13)) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) = ((h2 (op1 (e11) (e13))) = (op2 (h2 (e11)) (h2 (e13))))).
% 54.87/55.02 intro zenon_D_pnotp.
% 54.87/55.02 apply zenon_H4b1.
% 54.87/55.02 rewrite <- zenon_D_pnotp.
% 54.87/55.02 exact zenon_H461.
% 54.87/55.02 cut (((op2 (op2 (e21) (e21)) (op2 (e21) (e21))) = (op2 (h2 (e11)) (h2 (e13))))); [idtac | apply NNPP; zenon_intro zenon_H4b2].
% 54.87/55.02 cut (((h2 (e13)) = (h2 (op1 (e11) (e13))))); [idtac | apply NNPP; zenon_intro zenon_H4b3].
% 54.87/55.02 congruence.
% 54.87/55.02 elim (classic ((h2 (op1 (e11) (e13))) = (h2 (op1 (e11) (e13))))); [ zenon_intro zenon_H4b4 | zenon_intro zenon_H4b5 ].
% 54.87/55.02 cut (((h2 (op1 (e11) (e13))) = (h2 (op1 (e11) (e13)))) = ((h2 (e13)) = (h2 (op1 (e11) (e13))))).
% 54.87/55.02 intro zenon_D_pnotp.
% 54.87/55.02 apply zenon_H4b3.
% 54.87/55.02 rewrite <- zenon_D_pnotp.
% 54.87/55.02 exact zenon_H4b4.
% 54.87/55.02 cut (((h2 (op1 (e11) (e13))) = (h2 (op1 (e11) (e13))))); [idtac | apply NNPP; zenon_intro zenon_H4b5].
% 54.87/55.02 cut (((h2 (op1 (e11) (e13))) = (h2 (e13)))); [idtac | apply NNPP; zenon_intro zenon_H4b6].
% 54.87/55.02 congruence.
% 54.87/55.02 cut (((op1 (e11) (e13)) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H310].
% 54.87/55.02 congruence.
% 54.87/55.02 exact (zenon_H310 zenon_H234).
% 54.87/55.02 apply zenon_H4b5. apply refl_equal.
% 54.87/55.02 apply zenon_H4b5. apply refl_equal.
% 54.87/55.02 elim (classic ((op2 (h2 (e11)) (h2 (e13))) = (op2 (h2 (e11)) (h2 (e13))))); [ zenon_intro zenon_H4b7 | zenon_intro zenon_H4b8 ].
% 54.87/55.02 cut (((op2 (h2 (e11)) (h2 (e13))) = (op2 (h2 (e11)) (h2 (e13)))) = ((op2 (op2 (e21) (e21)) (op2 (e21) (e21))) = (op2 (h2 (e11)) (h2 (e13))))).
% 54.87/55.02 intro zenon_D_pnotp.
% 54.87/55.02 apply zenon_H4b2.
% 54.87/55.02 rewrite <- zenon_D_pnotp.
% 54.87/55.02 exact zenon_H4b7.
% 54.87/55.02 cut (((op2 (h2 (e11)) (h2 (e13))) = (op2 (h2 (e11)) (h2 (e13))))); [idtac | apply NNPP; zenon_intro zenon_H4b8].
% 54.87/55.02 cut (((op2 (h2 (e11)) (h2 (e13))) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21))))); [idtac | apply NNPP; zenon_intro zenon_H4b9].
% 54.87/55.02 congruence.
% 54.87/55.02 cut (((op2 (e21) (e23)) = (e23)) = ((op2 (h2 (e11)) (h2 (e13))) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21))))).
% 54.87/55.02 intro zenon_D_pnotp.
% 54.87/55.02 apply zenon_H4b9.
% 54.87/55.02 rewrite <- zenon_D_pnotp.
% 54.87/55.02 exact zenon_He9.
% 54.87/55.02 cut (((e23) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21))))); [idtac | apply NNPP; zenon_intro zenon_H4ba].
% 54.87/55.02 cut (((op2 (e21) (e23)) = (op2 (h2 (e11)) (h2 (e13))))); [idtac | apply NNPP; zenon_intro zenon_H4bb].
% 54.87/55.02 congruence.
% 54.87/55.02 elim (classic ((op2 (h2 (e11)) (h2 (e13))) = (op2 (h2 (e11)) (h2 (e13))))); [ zenon_intro zenon_H4b7 | zenon_intro zenon_H4b8 ].
% 54.87/55.02 cut (((op2 (h2 (e11)) (h2 (e13))) = (op2 (h2 (e11)) (h2 (e13)))) = ((op2 (e21) (e23)) = (op2 (h2 (e11)) (h2 (e13))))).
% 54.87/55.02 intro zenon_D_pnotp.
% 54.87/55.02 apply zenon_H4bb.
% 54.87/55.02 rewrite <- zenon_D_pnotp.
% 54.87/55.02 exact zenon_H4b7.
% 54.87/55.02 cut (((op2 (h2 (e11)) (h2 (e13))) = (op2 (h2 (e11)) (h2 (e13))))); [idtac | apply NNPP; zenon_intro zenon_H4b8].
% 54.87/55.02 cut (((op2 (h2 (e11)) (h2 (e13))) = (op2 (e21) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H4bc].
% 54.87/55.02 congruence.
% 54.87/55.02 cut (((h2 (e13)) = (e23))); [idtac | apply NNPP; zenon_intro zenon_H460].
% 54.87/55.02 cut (((h2 (e11)) = (e21))); [idtac | apply NNPP; zenon_intro zenon_H27c].
% 54.87/55.02 congruence.
% 54.87/55.02 exact (zenon_H27c zenon_H270).
% 54.87/55.02 apply (zenon_L492_); trivial.
% 54.87/55.02 apply zenon_H4b8. apply refl_equal.
% 54.87/55.02 apply zenon_H4b8. apply refl_equal.
% 54.87/55.02 exact (zenon_H4ba zenon_H3b).
% 54.87/55.02 apply zenon_H4b8. apply refl_equal.
% 54.87/55.02 apply zenon_H4b8. apply refl_equal.
% 54.87/55.02 (* end of lemma zenon_L613_ *)
% 54.87/55.02 assert (zenon_L614_ : (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e11)) = (e12))\/((op1 (e10) (e11)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> ((op1 (e11) (op1 (e11) (e13))) = (e13)) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e12) (e13)) = (e12))) -> (~((op1 (e12) (e12)) = (e12))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> ((e12) = (op1 (op1 (op1 (e11) (e11)) (op1 (e11) (e11))) (op1 (e11) (e11)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> ((op1 (e12) (e11)) = (e12)) -> (~((e12) = (e13))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> ((e10) = (op1 (e11) (e11))) -> ((op1 (e11) (e11)) = (e12)) -> ((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) -> (~((h2 (op1 (e11) (e13))) = (op2 (h2 (e11)) (h2 (e13))))) -> ((op2 (e21) (e23)) = (e23)) -> ((h2 (e11)) = (e21)) -> ((h2 (e13)) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((e23) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> False).
% 54.87/55.02 do 0 intro. intros zenon_H2c2 zenon_H15a zenon_H2b9 zenon_H32b zenon_H25 zenon_H30e zenon_H206 zenon_H19d zenon_H29e zenon_H360 zenon_H1cc zenon_H2f8 zenon_H1fd zenon_H18a zenon_H301 zenon_H316 zenon_H27d zenon_H1d1 zenon_H186 zenon_H204 zenon_H172 zenon_H179 zenon_H155 zenon_H180 zenon_H21a zenon_H23b zenon_H17 zenon_H202 zenon_H236 zenon_H2ad zenon_H2e7 zenon_H358 zenon_H13 zenon_H1b8 zenon_H15 zenon_H4b1 zenon_He9 zenon_H270 zenon_H461 zenon_H3b.
% 54.87/55.02 apply (zenon_or_s _ _ zenon_H2c2); [ zenon_intro zenon_H159 | zenon_intro zenon_H2c3 ].
% 54.87/55.02 apply (zenon_L64_); trivial.
% 54.87/55.02 apply (zenon_or_s _ _ zenon_H2c3); [ zenon_intro zenon_H2b7 | zenon_intro zenon_H2c4 ].
% 54.87/55.02 apply (zenon_L489_); trivial.
% 54.87/55.02 apply (zenon_or_s _ _ zenon_H2c4); [ zenon_intro zenon_H1f3 | zenon_intro zenon_H234 ].
% 54.87/55.02 apply (zenon_L289_); trivial.
% 54.87/55.02 apply (zenon_L613_); trivial.
% 54.87/55.02 (* end of lemma zenon_L614_ *)
% 54.87/55.02 assert (zenon_L615_ : ((e23) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((h2 (e13)) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((h2 (e11)) = (e21)) -> ((op2 (e21) (e23)) = (e23)) -> (~((h2 (op1 (e11) (e13))) = (op2 (h2 (e11)) (h2 (e13))))) -> ((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) -> ((op1 (e11) (e11)) = (e12)) -> ((e10) = (op1 (e11) (e11))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((e12) = (e13))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> ((e12) = (op1 (op1 (op1 (e11) (e11)) (op1 (e11) (e11))) (op1 (e11) (e11)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e11) (op1 (e11) (e13))) = (e13)) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e11)) = (e12))\/((op1 (e10) (e11)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e12) (e12)) = (e12))) -> (~((op1 (e12) (e13)) = (e12))) -> False).
% 54.87/55.02 do 0 intro. intros zenon_H3b zenon_H461 zenon_H270 zenon_He9 zenon_H4b1 zenon_H15 zenon_H1b8 zenon_H13 zenon_H358 zenon_H2e7 zenon_H2ad zenon_H236 zenon_H17 zenon_H23b zenon_H21a zenon_H180 zenon_H155 zenon_H179 zenon_H172 zenon_H204 zenon_H186 zenon_H316 zenon_H301 zenon_H18a zenon_H1fd zenon_H2f8 zenon_H1cc zenon_H360 zenon_H29e zenon_H19d zenon_H206 zenon_H30e zenon_H25 zenon_H32b zenon_H2b9 zenon_H15a zenon_H2c2 zenon_H1d1 zenon_H27d.
% 54.87/55.02 apply (zenon_or_s _ _ zenon_H23b); [ zenon_intro zenon_H21b | zenon_intro zenon_H23d ].
% 54.87/55.02 apply (zenon_L109_); trivial.
% 54.87/55.02 apply (zenon_or_s _ _ zenon_H23d); [ zenon_intro zenon_H202 | zenon_intro zenon_H23e ].
% 54.87/55.02 apply (zenon_L614_); trivial.
% 54.87/55.02 apply (zenon_or_s _ _ zenon_H23e); [ zenon_intro zenon_H1cb | zenon_intro zenon_H22f ].
% 54.87/55.02 exact (zenon_H1d1 zenon_H1cb).
% 54.87/55.02 exact (zenon_H27d zenon_H22f).
% 54.87/55.02 (* end of lemma zenon_L615_ *)
% 54.87/55.02 assert (zenon_L616_ : (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e11)) = (e12))\/((op1 (e10) (e11)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> ((op1 (e11) (op1 (e11) (e13))) = (e13)) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e11) (e11)) = (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) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> ((op1 (e12) (e11)) = (e12)) -> (~((e12) = (e13))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> ((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) -> ((e10) = (op1 (e11) (e11))) -> ((e12) = (op1 (op1 (op1 (e11) (e11)) (op1 (e11) (e11))) (op1 (e11) (e11)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> ((op1 (e11) (op1 (e11) (e12))) = (e12)) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> ((op1 (e11) (e12)) = (e12)) -> (~((op1 (e12) (e13)) = (e12))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((h2 (op1 (e11) (e13))) = (op2 (h2 (e11)) (h2 (e13))))) -> ((op2 (e21) (e23)) = (e23)) -> ((h2 (e11)) = (e21)) -> ((h2 (e13)) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((e23) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> False).
% 54.87/55.02 do 0 intro. intros zenon_H2c2 zenon_H15a zenon_H2b9 zenon_H32b zenon_H25 zenon_H206 zenon_H19d zenon_H29e zenon_H360 zenon_H1cc zenon_H2f8 zenon_H1fd zenon_H18a zenon_H301 zenon_H316 zenon_H1d1 zenon_H204 zenon_H21a zenon_H23b zenon_H17 zenon_H202 zenon_H236 zenon_H2ad zenon_H2e7 zenon_H180 zenon_H15 zenon_H13 zenon_H155 zenon_H179 zenon_H172 zenon_H32e zenon_H30e zenon_H375 zenon_H1ed zenon_H1c6 zenon_H27d zenon_H186 zenon_H4b1 zenon_He9 zenon_H270 zenon_H461 zenon_H3b.
% 54.87/55.02 apply (zenon_or_s _ _ zenon_H2c2); [ zenon_intro zenon_H159 | zenon_intro zenon_H2c3 ].
% 54.87/55.02 apply (zenon_L64_); trivial.
% 54.87/55.02 apply (zenon_or_s _ _ zenon_H2c3); [ zenon_intro zenon_H2b7 | zenon_intro zenon_H2c4 ].
% 54.87/55.02 apply (zenon_L489_); trivial.
% 54.87/55.02 apply (zenon_or_s _ _ zenon_H2c4); [ zenon_intro zenon_H1f3 | zenon_intro zenon_H234 ].
% 54.87/55.02 apply (zenon_L498_); trivial.
% 54.87/55.02 apply (zenon_L613_); trivial.
% 54.87/55.02 (* end of lemma zenon_L616_ *)
% 54.87/55.02 assert (zenon_L617_ : (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> ((e23) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((h2 (e13)) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((h2 (e11)) = (e21)) -> ((op2 (e21) (e23)) = (e23)) -> (~((h2 (op1 (e11) (e13))) = (op2 (h2 (e11)) (h2 (e13))))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e12) (e13)) = (e12))) -> ((op1 (e11) (e12)) = (e12)) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> ((op1 (e11) (op1 (e11) (e12))) = (e12)) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((e12) = (e13))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e12) (e12)) = (e12))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e11) (op1 (e11) (e13))) = (e13)) -> (~((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)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> ((e12) = (op1 (op1 (op1 (e11) (e11)) (op1 (e11) (e11))) (op1 (e11) (e11)))) -> ((e10) = (op1 (e11) (e11))) -> ((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> False).
% 54.87/55.02 do 0 intro. intros zenon_H209 zenon_H358 zenon_H3b zenon_H461 zenon_H270 zenon_He9 zenon_H4b1 zenon_H186 zenon_H27d zenon_H1c6 zenon_H1ed zenon_H375 zenon_H30e zenon_H32e zenon_H179 zenon_H180 zenon_H2e7 zenon_H2ad zenon_H236 zenon_H17 zenon_H23b zenon_H21a zenon_H204 zenon_H1d1 zenon_H316 zenon_H301 zenon_H18a zenon_H1fd zenon_H2f8 zenon_H1cc zenon_H360 zenon_H29e zenon_H19d zenon_H206 zenon_H25 zenon_H32b zenon_H2b9 zenon_H15a zenon_H2c2 zenon_H155 zenon_H13 zenon_H15 zenon_H172.
% 54.87/55.02 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H1dc | zenon_intro zenon_H20a ].
% 54.87/55.02 apply (zenon_L486_); trivial.
% 54.87/55.02 apply (zenon_or_s _ _ zenon_H20a); [ zenon_intro zenon_H1b8 | zenon_intro zenon_H20b ].
% 54.87/55.02 apply (zenon_L615_); trivial.
% 54.87/55.02 apply (zenon_or_s _ _ zenon_H20b); [ zenon_intro zenon_H202 | zenon_intro zenon_H171 ].
% 54.87/55.02 apply (zenon_L616_); trivial.
% 54.87/55.02 apply (zenon_L69_); trivial.
% 54.87/55.02 (* end of lemma zenon_L617_ *)
% 54.87/55.02 assert (zenon_L618_ : (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> ((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) -> ((e12) = (op1 (op1 (op1 (e11) (e11)) (op1 (e11) (e11))) (op1 (e11) (e11)))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e11)) = (e12))\/((op1 (e10) (e11)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e11) (e11)) = (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 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (~((e12) = (e13))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> ((op1 (e11) (op1 (e11) (e12))) = (e12)) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (~((op1 (e12) (e13)) = (e12))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((h2 (op1 (e11) (e13))) = (op2 (h2 (e11)) (h2 (e13))))) -> ((op2 (e21) (e23)) = (e23)) -> ((h2 (e11)) = (e21)) -> ((h2 (e13)) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((e23) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> ((op1 (e11) (op1 (e11) (e10))) = (e10)) -> ((op1 (e12) (e10)) = (e10)) -> ((op1 (e11) (e10)) = (e11)) -> ((op1 (e10) (e12)) = (e10)) -> ((e10) = (op1 (e11) (e11))) -> (~((op1 (e12) (e12)) = (e11))) -> (~((op1 (e12) (e12)) = (e12))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> ((op1 (e11) (op1 (e11) (e13))) = (e13)) -> False).
% 54.87/55.02 do 0 intro. intros zenon_H1fa zenon_H154 zenon_H172 zenon_H15 zenon_H155 zenon_H2c2 zenon_H15a zenon_H2b9 zenon_H32b zenon_H25 zenon_H206 zenon_H19d zenon_H360 zenon_H2f8 zenon_H1fd zenon_H18a zenon_H301 zenon_H316 zenon_H204 zenon_H21a zenon_H23b zenon_H17 zenon_H236 zenon_H2ad zenon_H2e7 zenon_H180 zenon_H179 zenon_H32e zenon_H30e zenon_H375 zenon_H1ed zenon_H27d zenon_H186 zenon_H4b1 zenon_He9 zenon_H270 zenon_H461 zenon_H3b zenon_H358 zenon_H209 zenon_H1da zenon_H1de zenon_H292 zenon_H293 zenon_H163 zenon_H18f zenon_H13 zenon_H23f zenon_H1d1 zenon_H1cc zenon_H29e.
% 54.87/55.02 apply (zenon_or_s _ _ zenon_H1fa); [ zenon_intro zenon_H156 | zenon_intro zenon_H1fb ].
% 54.87/55.02 apply (zenon_L63_); trivial.
% 54.87/55.02 apply (zenon_or_s _ _ zenon_H1fb); [ zenon_intro zenon_H1b8 | zenon_intro zenon_H1fc ].
% 54.87/55.02 apply (zenon_L615_); trivial.
% 54.87/55.02 apply (zenon_or_s _ _ zenon_H1fc); [ zenon_intro zenon_H1c6 | zenon_intro zenon_H1ec ].
% 54.87/55.02 apply (zenon_L617_); trivial.
% 54.87/55.02 apply (zenon_L500_); trivial.
% 54.87/55.02 (* end of lemma zenon_L618_ *)
% 54.87/55.02 assert (zenon_L619_ : (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> ((e12) = (op1 (op1 (op1 (e11) (e11)) (op1 (e11) (e11))) (op1 (e11) (e11)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((e12) = (e13))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> ((op1 (e11) (op1 (e11) (e13))) = (e13)) -> ((e23) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((h2 (e13)) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((h2 (e11)) = (e21)) -> ((op2 (e21) (e23)) = (e23)) -> (~((h2 (op1 (e11) (e13))) = (op2 (h2 (e11)) (h2 (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e11)) = (e12))\/((op1 (e10) (e11)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e12) (e12)) = (e12))) -> (~((op1 (e12) (e13)) = (e12))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e12)) = (e11))) -> ((op1 (e11) (op1 (e11) (e10))) = (e10)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> ((op1 (e11) (op1 (e11) (e11))) = (e11)) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e12))\/((op1 (e11) (e10)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> ((op1 (e11) (op1 (e11) (e12))) = (e12)) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e11)) = (e11))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> ((op1 (e12) (e10)) = (e10)) -> ((op1 (e10) (e12)) = (e10)) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> ((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) -> ((e10) = (op1 (e11) (e11))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> False).
% 54.87/55.02 do 0 intro. intros zenon_H1a0 zenon_H172 zenon_H155 zenon_H313 zenon_H2b9 zenon_H1cc zenon_H2ad zenon_H2e7 zenon_H236 zenon_H18a zenon_H29e zenon_H3b zenon_H461 zenon_H270 zenon_He9 zenon_H4b1 zenon_H358 zenon_H23b zenon_H21a zenon_H180 zenon_H179 zenon_H204 zenon_H186 zenon_H316 zenon_H301 zenon_H1fd zenon_H2f8 zenon_H360 zenon_H19d zenon_H206 zenon_H30e zenon_H32b zenon_H15a zenon_H2c2 zenon_H1d1 zenon_H27d zenon_H209 zenon_H154 zenon_H2b1 zenon_H1d8 zenon_H23f zenon_H292 zenon_H2a3 zenon_H1da zenon_H2a6 zenon_H2a5 zenon_H14b zenon_H15f zenon_H1b1 zenon_H1be zenon_H32e zenon_H375 zenon_H1ed zenon_H1fa zenon_H1a9 zenon_H473 zenon_H1de zenon_H293 zenon_H18f zenon_H474 zenon_H17 zenon_H1e zenon_H15 zenon_H13 zenon_H25.
% 54.87/55.02 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_H1a3 | zenon_intro zenon_H1a2 ].
% 54.87/55.02 apply (zenon_or_s _ _ zenon_H474); [ zenon_intro zenon_H163 | zenon_intro zenon_H475 ].
% 54.87/55.02 apply (zenon_L618_); trivial.
% 54.87/55.02 apply (zenon_or_s _ _ zenon_H475); [ zenon_intro zenon_H1a7 | zenon_intro zenon_H476 ].
% 54.87/55.02 exact (zenon_H473 zenon_H1a7).
% 54.87/55.02 apply (zenon_or_s _ _ zenon_H476); [ zenon_intro zenon_H1a8 | zenon_intro zenon_H214 ].
% 54.87/55.02 apply (zenon_L82_); trivial.
% 54.87/55.02 apply (zenon_or_s _ _ zenon_H1fa); [ zenon_intro zenon_H156 | zenon_intro zenon_H1fb ].
% 54.87/55.02 apply (zenon_L63_); trivial.
% 54.87/55.02 apply (zenon_or_s _ _ zenon_H1fb); [ zenon_intro zenon_H1b8 | zenon_intro zenon_H1fc ].
% 54.87/55.02 apply (zenon_L615_); trivial.
% 54.87/55.02 apply (zenon_or_s _ _ zenon_H1fc); [ zenon_intro zenon_H1c6 | zenon_intro zenon_H1ec ].
% 54.87/55.02 apply (zenon_L506_); trivial.
% 54.87/55.02 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H1dc | zenon_intro zenon_H20a ].
% 54.87/55.02 apply (zenon_L486_); trivial.
% 54.87/55.02 apply (zenon_or_s _ _ zenon_H20a); [ zenon_intro zenon_H1b8 | zenon_intro zenon_H20b ].
% 54.87/55.02 apply (zenon_L615_); trivial.
% 54.87/55.02 apply (zenon_or_s _ _ zenon_H20b); [ zenon_intro zenon_H202 | zenon_intro zenon_H171 ].
% 54.87/55.02 apply (zenon_L508_); trivial.
% 54.87/55.02 apply (zenon_L69_); trivial.
% 54.87/55.02 apply (zenon_or_s _ _ zenon_H1a2); [ zenon_intro zenon_H16 | zenon_intro zenon_H1a4 ].
% 54.87/55.02 apply (zenon_L2_); trivial.
% 54.87/55.02 apply (zenon_or_s _ _ zenon_H1a4); [ zenon_intro zenon_H1d | zenon_intro zenon_H24 ].
% 54.87/55.02 apply (zenon_L3_); trivial.
% 54.87/55.02 apply (zenon_L4_); trivial.
% 54.87/55.02 (* end of lemma zenon_L619_ *)
% 54.87/55.02 assert (zenon_L620_ : (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> ((e10) = (op1 (e11) (e11))) -> ((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> ((op1 (e10) (e12)) = (e10)) -> ((op1 (e12) (e10)) = (e10)) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e11)) = (e11))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> ((op1 (e11) (op1 (e11) (e12))) = (e12)) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e12))\/((op1 (e11) (e10)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> ((op1 (e11) (op1 (e11) (e11))) = (e11)) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> ((op1 (e11) (op1 (e11) (e10))) = (e10)) -> (~((op1 (e12) (e12)) = (e11))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (~((op1 (e12) (e13)) = (e12))) -> (~((op1 (e12) (e12)) = (e12))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e11)) = (e12))\/((op1 (e10) (e11)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((h2 (op1 (e11) (e13))) = (op2 (h2 (e11)) (h2 (e13))))) -> ((h2 (e11)) = (e21)) -> ((h2 (e13)) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((op1 (e11) (op1 (e11) (e13))) = (e13)) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((e12) = (e13))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> ((e12) = (op1 (op1 (op1 (e11) (e11)) (op1 (e11) (e11))) (op1 (e11) (e11)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> ((e20) = (op2 (e21) (e21))) -> ((op2 (e21) (e21)) = (e23)) -> ((e23) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> ((op2 (e23) (e21)) = (e23)) -> False).
% 54.87/55.02 do 0 intro. intros zenon_H3b4 zenon_H9f zenon_H25 zenon_H13 zenon_H15 zenon_H1e zenon_H17 zenon_H474 zenon_H18f zenon_H293 zenon_H1de zenon_H473 zenon_H1a9 zenon_H1fa zenon_H1ed zenon_H375 zenon_H32e zenon_H1be zenon_H1b1 zenon_H15f zenon_H14b zenon_H2a5 zenon_H2a6 zenon_H1da zenon_H2a3 zenon_H292 zenon_H23f zenon_H1d8 zenon_H2b1 zenon_H154 zenon_H209 zenon_H27d zenon_H1d1 zenon_H2c2 zenon_H15a zenon_H32b zenon_H30e zenon_H206 zenon_H19d zenon_H360 zenon_H2f8 zenon_H1fd zenon_H301 zenon_H316 zenon_H186 zenon_H204 zenon_H179 zenon_H180 zenon_H21a zenon_H23b zenon_H358 zenon_H4b1 zenon_H270 zenon_H461 zenon_H29e zenon_H18a zenon_H236 zenon_H2e7 zenon_H2ad zenon_H1cc zenon_H2b9 zenon_H313 zenon_H155 zenon_H172 zenon_H1a0 zenon_H116 zenon_H33 zenon_H388 zenon_H3b zenon_H3af zenon_He8.
% 54.87/55.02 apply (zenon_or_s _ _ zenon_H3b4); [ zenon_intro zenon_H9e | zenon_intro zenon_H3b5 ].
% 54.87/55.02 apply (zenon_L27_); trivial.
% 54.87/55.02 apply (zenon_or_s _ _ zenon_H3b5); [ zenon_intro zenon_He9 | zenon_intro zenon_H3b6 ].
% 54.87/55.02 apply (zenon_L619_); trivial.
% 54.87/55.02 apply (zenon_or_s _ _ zenon_H3b6); [ zenon_intro zenon_Heb | zenon_intro zenon_H106 ].
% 54.87/55.02 apply (zenon_L323_); trivial.
% 54.87/55.02 apply (zenon_L340_); trivial.
% 54.87/55.02 (* end of lemma zenon_L620_ *)
% 54.87/55.02 assert (zenon_L621_ : (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e23) (e20)))) -> ((op2 (e21) (e21)) = (e23)) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> ((e12) = (op1 (op1 (op1 (e11) (e11)) (op1 (e11) (e11))) (op1 (e11) (e11)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((e12) = (e13))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> ((op1 (e11) (op1 (e11) (e13))) = (e13)) -> ((h2 (e13)) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((h2 (e11)) = (e21)) -> (~((h2 (op1 (e11) (e13))) = (op2 (h2 (e11)) (h2 (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e11)) = (e12))\/((op1 (e10) (e11)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e12) (e12)) = (e12))) -> (~((op1 (e12) (e13)) = (e12))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e12)) = (e11))) -> ((op1 (e11) (op1 (e11) (e10))) = (e10)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> ((op1 (e11) (op1 (e11) (e11))) = (e11)) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e12))\/((op1 (e11) (e10)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> ((op1 (e11) (op1 (e11) (e12))) = (e12)) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e11)) = (e11))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> ((op1 (e12) (e10)) = (e10)) -> ((op1 (e10) (e12)) = (e10)) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> ((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) -> ((e10) = (op1 (e11) (e11))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> ((op2 (e22) (e22)) = (e23)) -> ((op2 (e20) (e20)) = (e23)) -> (((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e21)) = (e22))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> ((op2 (e20) (e21)) = (e21)) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> ((e23) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((e20) = (op2 (e21) (e21))) -> ((e22) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> False).
% 54.87/55.02 do 0 intro. intros zenon_H3b7 zenon_H55 zenon_H388 zenon_H116 zenon_H1a0 zenon_H172 zenon_H155 zenon_H313 zenon_H2b9 zenon_H1cc zenon_H2ad zenon_H2e7 zenon_H236 zenon_H18a zenon_H29e zenon_H461 zenon_H270 zenon_H4b1 zenon_H358 zenon_H23b zenon_H21a zenon_H180 zenon_H179 zenon_H204 zenon_H186 zenon_H316 zenon_H301 zenon_H1fd zenon_H2f8 zenon_H360 zenon_H19d zenon_H206 zenon_H30e zenon_H32b zenon_H15a zenon_H2c2 zenon_H1d1 zenon_H27d zenon_H209 zenon_H154 zenon_H2b1 zenon_H1d8 zenon_H23f zenon_H292 zenon_H2a3 zenon_H1da zenon_H2a6 zenon_H2a5 zenon_H14b zenon_H15f zenon_H1b1 zenon_H1be zenon_H32e zenon_H375 zenon_H1ed zenon_H1fa zenon_H1a9 zenon_H473 zenon_H1de zenon_H293 zenon_H18f zenon_H474 zenon_H17 zenon_H1e zenon_H15 zenon_H13 zenon_H25 zenon_H9f zenon_H3b4 zenon_Hfc zenon_Hf6 zenon_Ha8 zenon_H3b1 zenon_H39d zenon_Hb9 zenon_H282 zenon_H60 zenon_H3b zenon_H33 zenon_H3f zenon_H3af.
% 54.87/55.02 apply (zenon_or_s _ _ zenon_H3b7); [ zenon_intro zenon_He5 | zenon_intro zenon_H3b8 ].
% 54.87/55.02 apply (zenon_L335_); trivial.
% 54.87/55.02 apply (zenon_or_s _ _ zenon_H3b8); [ zenon_intro zenon_He8 | zenon_intro zenon_H3b9 ].
% 54.87/55.02 apply (zenon_L620_); trivial.
% 54.87/55.02 apply (zenon_or_s _ _ zenon_H3b9); [ zenon_intro zenon_Hfb | zenon_intro zenon_H106 ].
% 54.87/55.02 apply (zenon_L50_); trivial.
% 54.87/55.02 apply (zenon_L349_); trivial.
% 54.87/55.02 (* end of lemma zenon_L621_ *)
% 54.87/55.02 assert (zenon_L622_ : (((op2 (e22) (e20)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e22) (e23)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> (~((e22) = (e23))) -> ((op2 (e22) (e21)) = (e22)) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> ((e22) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> ((op2 (e20) (e21)) = (e21)) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> (((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e21)) = (e22))\/((op2 (e23) (e21)) = (e23))))) -> ((op2 (e20) (e20)) = (e23)) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> ((e10) = (op1 (e11) (e11))) -> ((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> ((op1 (e10) (e12)) = (e10)) -> ((op1 (e12) (e10)) = (e10)) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e11)) = (e11))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> ((op1 (e11) (op1 (e11) (e12))) = (e12)) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e12))\/((op1 (e11) (e10)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> ((op1 (e11) (op1 (e11) (e11))) = (e11)) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> ((op1 (e11) (op1 (e11) (e10))) = (e10)) -> (~((op1 (e12) (e12)) = (e11))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (~((op1 (e12) (e13)) = (e12))) -> (~((op1 (e12) (e12)) = (e12))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e11)) = (e12))\/((op1 (e10) (e11)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((h2 (op1 (e11) (e13))) = (op2 (h2 (e11)) (h2 (e13))))) -> ((h2 (e11)) = (e21)) -> ((h2 (e13)) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((op1 (e11) (op1 (e11) (e13))) = (e13)) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((e12) = (e13))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> ((e12) = (op1 (op1 (op1 (e11) (e11)) (op1 (e11) (e11))) (op1 (e11) (e11)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op2 (e20) (e20)) = (op2 (e23) (e20)))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> ((e23) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((op2 (e21) (e21)) = (e23)) -> ((e20) = (op2 (e21) (e21))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> False).
% 54.87/55.02 do 0 intro. intros zenon_H3f1 zenon_H11f zenon_Hec zenon_Hd3 zenon_H3af zenon_H3f zenon_H60 zenon_H282 zenon_Hb9 zenon_H39d zenon_H3b1 zenon_Ha8 zenon_Hfc zenon_H3b4 zenon_H9f zenon_H25 zenon_H13 zenon_H15 zenon_H1e zenon_H17 zenon_H474 zenon_H18f zenon_H293 zenon_H1de zenon_H473 zenon_H1a9 zenon_H1fa zenon_H1ed zenon_H375 zenon_H32e zenon_H1be zenon_H1b1 zenon_H15f zenon_H14b zenon_H2a5 zenon_H2a6 zenon_H1da zenon_H2a3 zenon_H292 zenon_H23f zenon_H1d8 zenon_H2b1 zenon_H154 zenon_H209 zenon_H27d zenon_H1d1 zenon_H2c2 zenon_H15a zenon_H32b zenon_H30e zenon_H206 zenon_H19d zenon_H360 zenon_H2f8 zenon_H1fd zenon_H301 zenon_H316 zenon_H186 zenon_H204 zenon_H179 zenon_H180 zenon_H21a zenon_H23b zenon_H358 zenon_H4b1 zenon_H270 zenon_H461 zenon_H29e zenon_H18a zenon_H236 zenon_H2e7 zenon_H2ad zenon_H1cc zenon_H2b9 zenon_H313 zenon_H155 zenon_H172 zenon_H1a0 zenon_H55 zenon_H3b7 zenon_H3b zenon_H388 zenon_H33 zenon_H116.
% 54.87/55.02 apply (zenon_or_s _ _ zenon_H3f1); [ zenon_intro zenon_H3df | zenon_intro zenon_H3f2 ].
% 54.87/55.02 apply (zenon_L364_); trivial.
% 54.87/55.02 apply (zenon_or_s _ _ zenon_H3f2); [ zenon_intro zenon_H3ba | zenon_intro zenon_H3f3 ].
% 54.87/55.02 apply (zenon_L350_); trivial.
% 54.87/55.02 apply (zenon_or_s _ _ zenon_H3f3); [ zenon_intro zenon_Hf6 | zenon_intro zenon_Heb ].
% 54.87/55.02 apply (zenon_L621_); trivial.
% 54.87/55.02 apply (zenon_L323_); trivial.
% 54.87/55.02 (* end of lemma zenon_L622_ *)
% 54.87/55.02 assert (zenon_L623_ : (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> (~((op2 (e22) (e20)) = (e22))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> ((e20) = (op2 (e21) (e21))) -> ((op2 (e21) (e21)) = (e23)) -> ((e23) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e23) (e20)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> ((e12) = (op1 (op1 (op1 (e11) (e11)) (op1 (e11) (e11))) (op1 (e11) (e11)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((e12) = (e13))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> ((op1 (e11) (op1 (e11) (e13))) = (e13)) -> ((h2 (e13)) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((h2 (e11)) = (e21)) -> (~((h2 (op1 (e11) (e13))) = (op2 (h2 (e11)) (h2 (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e11)) = (e12))\/((op1 (e10) (e11)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e12) (e12)) = (e12))) -> (~((op1 (e12) (e13)) = (e12))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e12)) = (e11))) -> ((op1 (e11) (op1 (e11) (e10))) = (e10)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> ((op1 (e11) (op1 (e11) (e11))) = (e11)) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e12))\/((op1 (e11) (e10)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> ((op1 (e11) (op1 (e11) (e12))) = (e12)) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e11)) = (e11))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> ((op1 (e12) (e10)) = (e10)) -> ((op1 (e10) (e12)) = (e10)) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> ((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) -> ((e10) = (op1 (e11) (e11))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> ((op2 (e20) (e20)) = (e23)) -> (((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e21)) = (e22))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> ((op2 (e20) (e21)) = (e21)) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> ((e22) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (~((e22) = (e23))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> (((op2 (e22) (e20)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e22) (e23)) = (e23))))) -> (~((op2 (e22) (e22)) = (e22))) -> (~((op2 (e22) (e23)) = (e22))) -> False).
% 54.87/55.02 do 0 intro. intros zenon_Hf1 zenon_Hb5 zenon_H116 zenon_H33 zenon_H388 zenon_H3b zenon_H3b7 zenon_H55 zenon_H1a0 zenon_H172 zenon_H155 zenon_H313 zenon_H2b9 zenon_H1cc zenon_H2ad zenon_H2e7 zenon_H236 zenon_H18a zenon_H29e zenon_H461 zenon_H270 zenon_H4b1 zenon_H358 zenon_H23b zenon_H21a zenon_H180 zenon_H179 zenon_H204 zenon_H186 zenon_H316 zenon_H301 zenon_H1fd zenon_H2f8 zenon_H360 zenon_H19d zenon_H206 zenon_H30e zenon_H32b zenon_H15a zenon_H2c2 zenon_H1d1 zenon_H27d zenon_H209 zenon_H154 zenon_H2b1 zenon_H1d8 zenon_H23f zenon_H292 zenon_H2a3 zenon_H1da zenon_H2a6 zenon_H2a5 zenon_H14b zenon_H15f zenon_H1b1 zenon_H1be zenon_H32e zenon_H375 zenon_H1ed zenon_H1fa zenon_H1a9 zenon_H473 zenon_H1de zenon_H293 zenon_H18f zenon_H474 zenon_H17 zenon_H1e zenon_H15 zenon_H13 zenon_H25 zenon_H9f zenon_H3b4 zenon_Hfc zenon_Ha8 zenon_H3b1 zenon_H39d zenon_Hb9 zenon_H282 zenon_H60 zenon_H3f zenon_H3af zenon_Hec zenon_H11f zenon_H3f1 zenon_Hd7 zenon_H281.
% 54.87/55.02 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_Hb1 | zenon_intro zenon_Hf3 ].
% 54.87/55.02 exact (zenon_Hb5 zenon_Hb1).
% 54.87/55.02 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_Hd3 | zenon_intro zenon_Hf4 ].
% 54.87/55.02 apply (zenon_L622_); trivial.
% 54.87/55.02 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_Hd6 | zenon_intro zenon_He2 ].
% 54.87/55.02 exact (zenon_Hd7 zenon_Hd6).
% 54.87/55.02 exact (zenon_H281 zenon_He2).
% 54.87/55.02 (* end of lemma zenon_L623_ *)
% 54.87/55.02 assert (zenon_L624_ : (((op2 (e21) (e20)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/((op2 (e21) (e23)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> ((e20) = (op2 (e21) (e21))) -> ((op2 (e20) (e20)) = (e23)) -> (~((op2 (e22) (e22)) = (e22))) -> (~((op2 (e22) (e22)) = (e21))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> ((op2 (e22) (e20)) = (e20)) -> (((op2 (e22) (e22)) = (e20))\/(((op2 (e22) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e22)) = (e23))))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> ((op2 (e21) (op2 (e21) (e22))) = (e22)) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> ((op2 (e20) (e21)) = (e21)) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> (((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e21)) = (e22))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e21) (e22)) = (op2 (e21) (e23)))) -> ((op2 (e21) (op2 (e21) (e23))) = (e23)) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e22) (e23)) = (e22))) -> ((e22) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> ((op2 (e22) (e21)) = (e22)) -> (~((e22) = (e23))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> (((op2 (e22) (e20)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e22) (e23)) = (e23))))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> ((e12) = (op1 (op1 (op1 (e11) (e11)) (op1 (e11) (e11))) (op1 (e11) (e11)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((e12) = (e13))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> ((op1 (e11) (op1 (e11) (e13))) = (e13)) -> ((e23) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((h2 (e13)) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((h2 (e11)) = (e21)) -> (~((h2 (op1 (e11) (e13))) = (op2 (h2 (e11)) (h2 (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e11)) = (e12))\/((op1 (e10) (e11)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e12) (e12)) = (e12))) -> (~((op1 (e12) (e13)) = (e12))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e12)) = (e11))) -> ((op1 (e11) (op1 (e11) (e10))) = (e10)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> ((op1 (e11) (op1 (e11) (e11))) = (e11)) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e12))\/((op1 (e11) (e10)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> ((op1 (e11) (op1 (e11) (e12))) = (e12)) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e11)) = (e11))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> ((op1 (e12) (e10)) = (e10)) -> ((op1 (e10) (e12)) = (e10)) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> ((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) -> ((e10) = (op1 (e11) (e11))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> False).
% 54.87/55.03 do 0 intro. intros zenon_H399 zenon_H45 zenon_H116 zenon_H3b7 zenon_H55 zenon_Hfc zenon_H47c zenon_H33 zenon_Ha8 zenon_Hd7 zenon_H101 zenon_H37d zenon_H121 zenon_H100 zenon_H47e zenon_H3a8 zenon_H481 zenon_H3af zenon_H60 zenon_H282 zenon_Hb9 zenon_H39d zenon_H3b1 zenon_H47a zenon_H395 zenon_H9f zenon_H3b4 zenon_H281 zenon_H3f zenon_H6e zenon_Hd3 zenon_Hec zenon_H11f zenon_H3f1 zenon_H1a0 zenon_H172 zenon_H155 zenon_H313 zenon_H2b9 zenon_H1cc zenon_H2ad zenon_H2e7 zenon_H236 zenon_H18a zenon_H29e zenon_H3b zenon_H461 zenon_H270 zenon_H4b1 zenon_H358 zenon_H23b zenon_H21a zenon_H180 zenon_H179 zenon_H204 zenon_H186 zenon_H316 zenon_H301 zenon_H1fd zenon_H2f8 zenon_H360 zenon_H19d zenon_H206 zenon_H30e zenon_H32b zenon_H15a zenon_H2c2 zenon_H1d1 zenon_H27d zenon_H209 zenon_H154 zenon_H2b1 zenon_H1d8 zenon_H23f zenon_H292 zenon_H2a3 zenon_H1da zenon_H2a6 zenon_H2a5 zenon_H14b zenon_H15f zenon_H1b1 zenon_H1be zenon_H32e zenon_H375 zenon_H1ed zenon_H1fa zenon_H1a9 zenon_H473 zenon_H1de zenon_H293 zenon_H18f zenon_H474 zenon_H17 zenon_H1e zenon_H15 zenon_H13 zenon_H25.
% 54.87/55.03 apply (zenon_or_s _ _ zenon_H399); [ zenon_intro zenon_H44 | zenon_intro zenon_H39a ].
% 54.87/55.03 apply (zenon_L10_); trivial.
% 54.87/55.03 apply (zenon_or_s _ _ zenon_H39a); [ zenon_intro zenon_H388 | zenon_intro zenon_H39b ].
% 54.87/55.03 apply (zenon_L622_); trivial.
% 54.87/55.03 apply (zenon_or_s _ _ zenon_H39b); [ zenon_intro zenon_H38e | zenon_intro zenon_He9 ].
% 54.87/55.03 apply (zenon_L519_); trivial.
% 54.87/55.03 apply (zenon_L619_); trivial.
% 54.87/55.03 (* end of lemma zenon_L624_ *)
% 54.87/55.03 assert (zenon_L625_ : ((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13)))) -> (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> (((op2 (e20) (e21)) = (e20))\/(((op2 (e20) (e21)) = (e21))\/(((op2 (e20) (e21)) = (e22))\/((op2 (e20) (e21)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> (~((e21) = (e22))) -> (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> (~((op2 (e21) (e21)) = (e21))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> ((e23) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((e20) = (op2 (e21) (e21))) -> (((op2 (e22) (e20)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e22) (e23)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e23) (e20)))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> ((op1 (e11) (op1 (e11) (e11))) = (e11)) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e12))\/((op1 (e11) (e10)) = (e13))))) -> (~((op1 (e11) (e11)) = (e11))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> ((e12) = (op1 (op1 (op1 (e11) (e11)) (op1 (e11) (e11))) (op1 (e11) (e11)))) -> ((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) -> ((e10) = (op1 (e11) (e11))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e11)) = (e12))\/((op1 (e10) (e11)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e12) (e12)) = (e12))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> ((op1 (e11) (op1 (e11) (e13))) = (e13)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((e12) = (e13))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((h2 (op1 (e11) (e13))) = (op2 (h2 (e11)) (h2 (e13))))) -> ((h2 (e13)) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((h2 (e11)) = (e21)) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> ((op1 (e11) (op1 (e11) (e12))) = (e12)) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (~((op1 (e12) (e12)) = (e11))) -> ((op1 (e10) (e12)) = (e10)) -> ((op1 (e12) (e10)) = (e10)) -> ((op1 (e11) (op1 (e11) (e10))) = (e10)) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e21)) = (e22))\/((op2 (e23) (e21)) = (e23))))) -> ((e22) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> ((op2 (e22) (e21)) = (e22)) -> (~((e22) = (e23))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> ((op2 (e22) (e20)) = (e20)) -> (~((op2 (e22) (e22)) = (e21))) -> (~((op2 (e22) (e22)) = (e22))) -> (((op2 (e22) (e22)) = (e20))\/(((op2 (e22) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e22)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> ((op2 (e21) (op2 (e21) (e22))) = (e22)) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> ((op2 (e21) (op2 (e21) (e23))) = (e23)) -> (~((op2 (e21) (e22)) = (op2 (e21) (e23)))) -> (~((op2 (e22) (e23)) = (e22))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (((op2 (e21) (e20)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/((op2 (e21) (e23)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e22)))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e20) (e21)) = (e23))\/(((op2 (e20) (e22)) = (e23))\/((op2 (e20) (e23)) = (e23))))) -> False).
% 54.87/55.03 do 0 intro. intros zenon_H22c zenon_H28c zenon_H289 zenon_H93 zenon_H286 zenon_H8d zenon_Hb0 zenon_H27e zenon_Hf1 zenon_H28d zenon_H45 zenon_H3b zenon_H33 zenon_H3f1 zenon_H55 zenon_H3b4 zenon_H3af zenon_H116 zenon_H474 zenon_H313 zenon_H1b1 zenon_H2b1 zenon_H2a6 zenon_H2a5 zenon_H2a3 zenon_H1d8 zenon_H1be zenon_H14b zenon_H1a9 zenon_H15f zenon_H473 zenon_H154 zenon_H155 zenon_H15 zenon_H13 zenon_H15a zenon_H2e7 zenon_H25 zenon_H30e zenon_H2b9 zenon_H206 zenon_H17 zenon_H186 zenon_H180 zenon_H179 zenon_H204 zenon_H1d1 zenon_H23b zenon_H301 zenon_H2f8 zenon_H29e zenon_H172 zenon_H1fd zenon_H18a zenon_H1cc zenon_H360 zenon_H316 zenon_H19d zenon_H32b zenon_H236 zenon_H2ad zenon_H358 zenon_H4b1 zenon_H461 zenon_H270 zenon_H2c2 zenon_H21a zenon_H209 zenon_H375 zenon_H1ed zenon_H32e zenon_H1da zenon_H23f zenon_H18f zenon_H293 zenon_H292 zenon_H1de zenon_H1fa zenon_H1e zenon_H1a0 zenon_H9f zenon_Hfc zenon_H3b1 zenon_H3f zenon_H60 zenon_H282 zenon_H39d zenon_H3b7 zenon_Hd3 zenon_Hec zenon_H11f zenon_H37d zenon_H121 zenon_H101 zenon_Hd7 zenon_H100 zenon_H3a8 zenon_H481 zenon_H47c zenon_H395 zenon_H47a zenon_H281 zenon_H6e zenon_H47e zenon_H399 zenon_H98 zenon_Ha5.
% 54.87/55.03 apply (zenon_or_s _ _ zenon_H22c); [ zenon_intro zenon_H27d | zenon_intro zenon_H29d ].
% 54.87/55.03 apply (zenon_or_s _ _ zenon_Ha5); [ zenon_intro zenon_Ha8 | zenon_intro zenon_Ha7 ].
% 54.87/55.03 apply (zenon_or_s _ _ zenon_H28c); [ zenon_intro zenon_Hb9 | zenon_intro zenon_H28e ].
% 54.87/55.03 apply (zenon_L624_); trivial.
% 54.87/55.03 apply (zenon_or_s _ _ zenon_H28e); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H28f ].
% 54.87/55.03 exact (zenon_H28d zenon_Hc3).
% 54.87/55.03 apply (zenon_or_s _ _ zenon_H28f); [ zenon_intro zenon_H27f | zenon_intro zenon_H283 ].
% 54.87/55.03 apply (zenon_L134_); trivial.
% 54.87/55.03 apply (zenon_L138_); trivial.
% 54.87/55.03 apply (zenon_or_s _ _ zenon_Ha7); [ zenon_intro zenon_H92 | zenon_intro zenon_Ha9 ].
% 54.87/55.03 apply (zenon_L25_); trivial.
% 54.87/55.03 apply (zenon_or_s _ _ zenon_Ha9); [ zenon_intro zenon_H97 | zenon_intro zenon_H9e ].
% 54.87/55.03 apply (zenon_L26_); trivial.
% 54.87/55.03 apply (zenon_L27_); trivial.
% 54.87/55.03 apply (zenon_L144_); trivial.
% 54.87/55.03 (* end of lemma zenon_L625_ *)
% 54.87/55.03 assert (zenon_L626_ : ((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12)))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e20) (e21)) = (e23))\/(((op2 (e20) (e22)) = (e23))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e22)))) -> (((op2 (e21) (e20)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/((op2 (e21) (e23)) = (e23))))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op2 (e22) (e23)) = (e22))) -> (~((op2 (e21) (e22)) = (op2 (e21) (e23)))) -> ((op2 (e21) (op2 (e21) (e23))) = (e23)) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> ((op2 (e21) (op2 (e21) (e22))) = (e22)) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (((op2 (e22) (e22)) = (e20))\/(((op2 (e22) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e22)) = (e23))))) -> (~((op2 (e22) (e22)) = (e22))) -> (~((op2 (e22) (e22)) = (e21))) -> ((op2 (e22) (e20)) = (e20)) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> (~((e22) = (e23))) -> ((op2 (e22) (e21)) = (e22)) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> ((e22) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> (((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e21)) = (e22))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> ((op1 (e11) (op1 (e11) (e10))) = (e10)) -> ((op1 (e12) (e10)) = (e10)) -> ((op1 (e10) (e12)) = (e10)) -> (~((op1 (e12) (e12)) = (e11))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> ((op1 (e11) (op1 (e11) (e12))) = (e12)) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> ((h2 (e11)) = (e21)) -> ((h2 (e13)) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> (~((h2 (op1 (e11) (e13))) = (op2 (h2 (e11)) (h2 (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((e12) = (e13))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> ((op1 (e11) (op1 (e11) (e13))) = (e13)) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (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 (e12) (e11)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e11)) = (e12))\/((op1 (e10) (e11)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> ((e10) = (op1 (e11) (e11))) -> ((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) -> ((e12) = (op1 (op1 (op1 (e11) (e11)) (op1 (e11) (e11))) (op1 (e11) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e11) (e11)) = (e11))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e12))\/((op1 (e11) (e10)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> ((op1 (e11) (op1 (e11) (e11))) = (e11)) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e23) (e20)))) -> (((op2 (e22) (e20)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e22) (e23)) = (e23))))) -> ((e20) = (op2 (e21) (e21))) -> ((e23) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (~((op2 (e21) (e21)) = (e21))) -> (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> (~((e21) = (e22))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> (((op2 (e20) (e21)) = (e20))\/(((op2 (e20) (e21)) = (e21))\/(((op2 (e20) (e21)) = (e22))\/((op2 (e20) (e21)) = (e23))))) -> (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> ((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13)))) -> False).
% 54.87/55.03 do 0 intro. intros zenon_H224 zenon_Ha5 zenon_H98 zenon_H399 zenon_H47e zenon_H6e zenon_H281 zenon_H47a zenon_H395 zenon_H47c zenon_H481 zenon_H3a8 zenon_H100 zenon_Hd7 zenon_H101 zenon_H121 zenon_H37d zenon_H11f zenon_Hec zenon_Hd3 zenon_H3b7 zenon_H39d zenon_H282 zenon_H60 zenon_H3f zenon_H3b1 zenon_Hfc zenon_H9f zenon_H1a0 zenon_H1e zenon_H1fa zenon_H1de zenon_H292 zenon_H293 zenon_H18f zenon_H23f zenon_H1da zenon_H32e zenon_H1ed zenon_H375 zenon_H209 zenon_H21a zenon_H2c2 zenon_H270 zenon_H461 zenon_H4b1 zenon_H358 zenon_H2ad zenon_H236 zenon_H32b zenon_H19d zenon_H316 zenon_H360 zenon_H1cc zenon_H18a zenon_H1fd zenon_H172 zenon_H29e zenon_H2f8 zenon_H301 zenon_H23b zenon_H204 zenon_H179 zenon_H180 zenon_H186 zenon_H17 zenon_H206 zenon_H2b9 zenon_H30e zenon_H25 zenon_H2e7 zenon_H15a zenon_H13 zenon_H15 zenon_H155 zenon_H154 zenon_H473 zenon_H15f zenon_H1a9 zenon_H14b zenon_H1be zenon_H1d8 zenon_H2a3 zenon_H2a5 zenon_H2a6 zenon_H2b1 zenon_H1b1 zenon_H313 zenon_H474 zenon_H116 zenon_H3af zenon_H3b4 zenon_H55 zenon_H3f1 zenon_H33 zenon_H3b zenon_H45 zenon_H28d zenon_Hf1 zenon_H27e zenon_Hb0 zenon_H8d zenon_H286 zenon_H93 zenon_H289 zenon_H28c zenon_H22c.
% 54.87/55.03 apply (zenon_or_s _ _ zenon_H224); [ zenon_intro zenon_H1d1 | zenon_intro zenon_H1d1 ].
% 54.87/55.03 apply (zenon_L625_); trivial.
% 54.87/55.03 apply (zenon_L625_); trivial.
% 54.87/55.03 (* end of lemma zenon_L626_ *)
% 54.87/55.03 assert (zenon_L627_ : (~((op2 (e22) (e23)) = (e22))) -> (~((op2 (e22) (e22)) = (e22))) -> (((op2 (e20) (e21)) = (e20))\/(((op2 (e20) (e21)) = (e21))\/(((op2 (e20) (e21)) = (e22))\/((op2 (e20) (e21)) = (e23))))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> ((e22) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> (~((e21) = (e22))) -> (~((op2 (e21) (e21)) = (e21))) -> (((op2 (e20) (e21)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e23) (e21)) = (e22))))) -> (~((op1 (e12) (e13)) = (e12))) -> (~((op1 (e12) (e12)) = (e12))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (~((op2 (e22) (e20)) = (e22))) -> ((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13)))) -> (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (((op2 (e22) (e20)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e22) (e23)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e23) (e20)))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> ((op1 (e11) (op1 (e11) (e11))) = (e11)) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e12))\/((op1 (e11) (e10)) = (e13))))) -> (~((op1 (e11) (e11)) = (e11))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> ((e12) = (op1 (op1 (op1 (e11) (e11)) (op1 (e11) (e11))) (op1 (e11) (e11)))) -> ((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) -> ((e10) = (op1 (e11) (e11))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e11)) = (e12))\/((op1 (e10) (e11)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> ((op1 (e11) (op1 (e11) (e13))) = (e13)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((e12) = (e13))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((h2 (op1 (e11) (e13))) = (op2 (h2 (e11)) (h2 (e13))))) -> ((h2 (e13)) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((h2 (e11)) = (e21)) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> ((op1 (e11) (op1 (e11) (e12))) = (e12)) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (~((op1 (e12) (e12)) = (e11))) -> ((op1 (e10) (e12)) = (e10)) -> ((op1 (e12) (e10)) = (e10)) -> ((op1 (e11) (op1 (e11) (e10))) = (e10)) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e21)) = (e22))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((e22) = (e23))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> ((op2 (e22) (e20)) = (e20)) -> (~((op2 (e22) (e22)) = (e21))) -> (((op2 (e22) (e22)) = (e20))\/(((op2 (e22) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e22)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> ((op2 (e21) (op2 (e21) (e22))) = (e22)) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> ((op2 (e21) (op2 (e21) (e23))) = (e23)) -> (~((op2 (e21) (e22)) = (op2 (e21) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (((op2 (e21) (e20)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/((op2 (e21) (e23)) = (e23))))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e20) (e21)) = (e23))\/(((op2 (e20) (e22)) = (e23))\/((op2 (e20) (e23)) = (e23))))) -> ((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e22)))) -> ((e23) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((e20) = (op2 (e21) (e21))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> False).
% 54.87/55.03 do 0 intro. intros zenon_H281 zenon_Hd7 zenon_H289 zenon_H8d zenon_H282 zenon_H286 zenon_Hb0 zenon_H3f zenon_Hf1 zenon_H27e zenon_H28d zenon_H3fd zenon_H27d zenon_H1d1 zenon_H437 zenon_Hb5 zenon_H22c zenon_H28c zenon_H45 zenon_H3f1 zenon_H55 zenon_H3b4 zenon_H3af zenon_H116 zenon_H474 zenon_H313 zenon_H1b1 zenon_H2b1 zenon_H2a6 zenon_H2a5 zenon_H2a3 zenon_H1d8 zenon_H1be zenon_H14b zenon_H1a9 zenon_H15f zenon_H473 zenon_H154 zenon_H155 zenon_H15 zenon_H13 zenon_H15a zenon_H2e7 zenon_H25 zenon_H30e zenon_H2b9 zenon_H206 zenon_H17 zenon_H186 zenon_H180 zenon_H179 zenon_H204 zenon_H23b zenon_H301 zenon_H2f8 zenon_H29e zenon_H172 zenon_H1fd zenon_H18a zenon_H1cc zenon_H360 zenon_H316 zenon_H19d zenon_H32b zenon_H236 zenon_H2ad zenon_H358 zenon_H4b1 zenon_H461 zenon_H270 zenon_H2c2 zenon_H21a zenon_H209 zenon_H375 zenon_H1ed zenon_H32e zenon_H1da zenon_H23f zenon_H18f zenon_H293 zenon_H292 zenon_H1de zenon_H1fa zenon_H1e zenon_H1a0 zenon_Hfc zenon_H3b1 zenon_H39d zenon_H3b7 zenon_Hec zenon_H11f zenon_H37d zenon_H121 zenon_H101 zenon_H100 zenon_H3a8 zenon_H481 zenon_H47c zenon_H395 zenon_H47a zenon_H6e zenon_H47e zenon_H399 zenon_Ha5 zenon_H224 zenon_H60 zenon_H93 zenon_H98 zenon_H3b zenon_H33 zenon_H9f.
% 54.87/55.03 apply (zenon_or_s _ _ zenon_Ha5); [ zenon_intro zenon_Ha8 | zenon_intro zenon_Ha7 ].
% 54.87/55.03 apply (zenon_or_s _ _ zenon_H28c); [ zenon_intro zenon_Hb9 | zenon_intro zenon_H28e ].
% 54.87/55.03 apply (zenon_or_s _ _ zenon_H3fd); [ zenon_intro zenon_H285 | zenon_intro zenon_H3ff ].
% 54.87/55.03 apply (zenon_L572_); trivial.
% 54.87/55.03 apply (zenon_or_s _ _ zenon_H3ff); [ zenon_intro zenon_H401 | zenon_intro zenon_H400 ].
% 54.87/55.03 apply (zenon_or_s _ _ zenon_H399); [ zenon_intro zenon_H44 | zenon_intro zenon_H39a ].
% 54.87/55.03 apply (zenon_L10_); trivial.
% 54.87/55.03 apply (zenon_or_s _ _ zenon_H39a); [ zenon_intro zenon_H388 | zenon_intro zenon_H39b ].
% 54.87/55.03 apply (zenon_L623_); trivial.
% 54.87/55.03 apply (zenon_or_s _ _ zenon_H39b); [ zenon_intro zenon_H38e | zenon_intro zenon_He9 ].
% 54.87/55.03 apply (zenon_L449_); trivial.
% 54.87/55.03 apply (zenon_L619_); trivial.
% 54.87/55.03 apply (zenon_or_s _ _ zenon_H400); [ zenon_intro zenon_Hd3 | zenon_intro zenon_H5f ].
% 54.87/55.03 apply (zenon_L626_); trivial.
% 54.87/55.03 apply (zenon_L15_); trivial.
% 54.87/55.03 apply (zenon_or_s _ _ zenon_H28e); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H28f ].
% 54.87/55.03 exact (zenon_H28d zenon_Hc3).
% 54.87/55.03 apply (zenon_or_s _ _ zenon_H28f); [ zenon_intro zenon_H27f | zenon_intro zenon_H283 ].
% 54.87/55.03 apply (zenon_L134_); trivial.
% 54.87/55.03 apply (zenon_L138_); trivial.
% 54.87/55.03 apply (zenon_or_s _ _ zenon_Ha7); [ zenon_intro zenon_H92 | zenon_intro zenon_Ha9 ].
% 54.87/55.03 apply (zenon_L25_); trivial.
% 54.87/55.03 apply (zenon_or_s _ _ zenon_Ha9); [ zenon_intro zenon_H97 | zenon_intro zenon_H9e ].
% 54.87/55.03 apply (zenon_L26_); trivial.
% 54.87/55.03 apply (zenon_L27_); trivial.
% 54.87/55.03 (* end of lemma zenon_L627_ *)
% 54.87/55.03 assert (zenon_L628_ : (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> (~((op2 (e22) (e23)) = (e22))) -> (~((op2 (e22) (e22)) = (e22))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> ((e20) = (op2 (e21) (e21))) -> ((e23) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((e22) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> (((op2 (e21) (e20)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/((op2 (e21) (e23)) = (e23))))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (~((op2 (e22) (e20)) = (e22))) -> (((op2 (e22) (e20)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e22) (e23)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e23) (e20)))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> ((op1 (e11) (op1 (e11) (e11))) = (e11)) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e12))\/((op1 (e11) (e10)) = (e13))))) -> (~((op1 (e11) (e11)) = (e11))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> ((e12) = (op1 (op1 (op1 (e11) (e11)) (op1 (e11) (e11))) (op1 (e11) (e11)))) -> ((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) -> ((e10) = (op1 (e11) (e11))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e11)) = (e12))\/((op1 (e10) (e11)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e12) (e12)) = (e12))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> ((op1 (e11) (op1 (e11) (e13))) = (e13)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((e12) = (e13))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((h2 (op1 (e11) (e13))) = (op2 (h2 (e11)) (h2 (e13))))) -> ((h2 (e13)) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((h2 (e11)) = (e21)) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> ((op1 (e11) (op1 (e11) (e12))) = (e12)) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (~((op1 (e12) (e12)) = (e11))) -> ((op1 (e10) (e12)) = (e10)) -> ((op1 (e12) (e10)) = (e10)) -> ((op1 (e11) (op1 (e11) (e10))) = (e10)) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e21)) = (e22))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((e22) = (e23))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> ((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12)))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e20) (e21)) = (e23))\/(((op2 (e20) (e22)) = (e23))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e22)))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op2 (e21) (e22)) = (op2 (e21) (e23)))) -> ((op2 (e21) (op2 (e21) (e23))) = (e23)) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> ((op2 (e21) (op2 (e21) (e22))) = (e22)) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (((op2 (e22) (e22)) = (e20))\/(((op2 (e22) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e22)) = (e23))))) -> (~((op2 (e22) (e22)) = (e21))) -> ((op2 (e22) (e20)) = (e20)) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> (~((op2 (e21) (e21)) = (e21))) -> (~((e21) = (e22))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> (((op2 (e20) (e21)) = (e20))\/(((op2 (e20) (e21)) = (e21))\/(((op2 (e20) (e21)) = (e22))\/((op2 (e20) (e21)) = (e23))))) -> (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> ((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13)))) -> (((op2 (e20) (e21)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e23) (e21)) = (e22))))) -> False).
% 54.87/55.03 do 0 intro. intros zenon_Hf1 zenon_H281 zenon_Hd7 zenon_H286 zenon_H33 zenon_H3b zenon_H3f zenon_Hb0 zenon_H399 zenon_H437 zenon_Hb5 zenon_H3f1 zenon_H55 zenon_H3b4 zenon_H3af zenon_H116 zenon_H474 zenon_H313 zenon_H1b1 zenon_H2b1 zenon_H2a6 zenon_H2a5 zenon_H2a3 zenon_H1d8 zenon_H1be zenon_H14b zenon_H1a9 zenon_H15f zenon_H473 zenon_H154 zenon_H155 zenon_H15 zenon_H13 zenon_H15a zenon_H2e7 zenon_H25 zenon_H30e zenon_H2b9 zenon_H206 zenon_H17 zenon_H186 zenon_H180 zenon_H179 zenon_H204 zenon_H1d1 zenon_H23b zenon_H301 zenon_H2f8 zenon_H29e zenon_H172 zenon_H1fd zenon_H18a zenon_H1cc zenon_H360 zenon_H316 zenon_H19d zenon_H32b zenon_H236 zenon_H2ad zenon_H358 zenon_H4b1 zenon_H461 zenon_H270 zenon_H2c2 zenon_H21a zenon_H209 zenon_H375 zenon_H1ed zenon_H32e zenon_H1da zenon_H23f zenon_H18f zenon_H293 zenon_H292 zenon_H1de zenon_H1fa zenon_H1e zenon_H1a0 zenon_H9f zenon_Hfc zenon_H3b1 zenon_H60 zenon_H282 zenon_H39d zenon_H3b7 zenon_Hec zenon_H11f zenon_H45 zenon_H224 zenon_Ha5 zenon_H98 zenon_H47e zenon_H6e zenon_H47a zenon_H395 zenon_H47c zenon_H481 zenon_H3a8 zenon_H100 zenon_H101 zenon_H121 zenon_H37d zenon_H28d zenon_H27e zenon_H8d zenon_H93 zenon_H289 zenon_H28c zenon_H22c zenon_H3fd.
% 54.87/55.03 apply (zenon_or_s _ _ zenon_H22c); [ zenon_intro zenon_H27d | zenon_intro zenon_H29d ].
% 54.87/55.03 apply (zenon_L627_); trivial.
% 54.87/55.03 apply (zenon_L144_); trivial.
% 54.87/55.03 (* end of lemma zenon_L628_ *)
% 54.87/55.03 assert (zenon_L629_ : ((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> ((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (e10))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> ((e10) = (op1 (e11) (e11))) -> (~((op1 (e10) (e12)) = (e10))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> False).
% 54.87/55.03 do 0 intro. intros zenon_H25d zenon_H17 zenon_H15 zenon_H1e zenon_H25 zenon_H1a0 zenon_H146 zenon_H19d zenon_H13 zenon_H458 zenon_H246.
% 54.87/55.03 apply (zenon_or_s _ _ zenon_H25d); [ zenon_intro zenon_H25f | zenon_intro zenon_H1a1 ].
% 54.87/55.03 apply (zenon_or_s _ _ zenon_H246); [ zenon_intro zenon_H145 | zenon_intro zenon_H260 ].
% 54.87/55.03 exact (zenon_H146 zenon_H145).
% 54.87/55.03 apply (zenon_or_s _ _ zenon_H260); [ zenon_intro zenon_H166 | zenon_intro zenon_H261 ].
% 54.87/55.03 apply (zenon_L78_); trivial.
% 54.87/55.03 apply (zenon_or_s _ _ zenon_H261); [ zenon_intro zenon_H18f | zenon_intro zenon_H19b ].
% 54.87/55.03 exact (zenon_H458 zenon_H18f).
% 54.87/55.03 exact (zenon_H25f zenon_H19b).
% 54.87/55.03 apply (zenon_L79_); trivial.
% 54.87/55.03 (* end of lemma zenon_L629_ *)
% 54.87/55.03 assert (zenon_L630_ : (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> ((e23) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((h2 (e13)) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((h2 (e11)) = (e21)) -> ((op2 (e21) (e23)) = (e23)) -> (~((h2 (op1 (e11) (e13))) = (op2 (h2 (e11)) (h2 (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> ((op1 (e11) (e11)) = (e13)) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> ((e12) = (op1 (op1 (op1 (e11) (e11)) (op1 (e11) (e11))) (op1 (e11) (e11)))) -> ((e10) = (op1 (e11) (e11))) -> ((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> ((op1 (e10) (e11)) = (e11)) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> ((op1 (e12) (e12)) = (e13)) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e11) (op1 (e11) (e13))) = (e13)) -> False).
% 54.87/55.03 do 0 intro. intros zenon_H32b zenon_H25 zenon_H3b zenon_H461 zenon_H270 zenon_He9 zenon_H4b1 zenon_H2b9 zenon_H2b7 zenon_H316 zenon_H301 zenon_H18a zenon_H155 zenon_H13 zenon_H15 zenon_H172 zenon_H1fd zenon_H1fe zenon_H2f8 zenon_H1d3 zenon_H1cc zenon_H360 zenon_H29e.
% 54.87/55.03 apply (zenon_or_s _ _ zenon_H32b); [ zenon_intro zenon_H24 | zenon_intro zenon_H32c ].
% 54.87/55.03 apply (zenon_L4_); trivial.
% 54.87/55.03 apply (zenon_or_s _ _ zenon_H32c); [ zenon_intro zenon_H234 | zenon_intro zenon_H32d ].
% 54.87/55.03 apply (zenon_L613_); trivial.
% 54.87/55.03 apply (zenon_or_s _ _ zenon_H32d); [ zenon_intro zenon_H235 | zenon_intro zenon_H1c4 ].
% 54.87/55.03 apply (zenon_L163_); trivial.
% 54.87/55.03 apply (zenon_L485_); trivial.
% 54.87/55.03 (* end of lemma zenon_L630_ *)
% 54.87/55.03 assert (zenon_L631_ : (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> ((op1 (e11) (op1 (e11) (e13))) = (e13)) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> ((op1 (e10) (e11)) = (e11)) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> ((e12) = (op1 (op1 (op1 (e11) (e11)) (op1 (e11) (e11))) (op1 (e11) (e11)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> ((op1 (e11) (e11)) = (e13)) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((h2 (op1 (e11) (e13))) = (op2 (h2 (e11)) (h2 (e13))))) -> ((op2 (e21) (e23)) = (e23)) -> ((h2 (e11)) = (e21)) -> ((h2 (e13)) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((e23) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> ((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) -> ((op1 (e11) (e11)) = (e12)) -> ((e10) = (op1 (e11) (e11))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> False).
% 54.87/55.03 do 0 intro. intros zenon_H2c9 zenon_H1e zenon_H358 zenon_H29e zenon_H360 zenon_H1cc zenon_H2f8 zenon_H1fe zenon_H1fd zenon_H172 zenon_H155 zenon_H18a zenon_H301 zenon_H316 zenon_H2b7 zenon_H2b9 zenon_H4b1 zenon_He9 zenon_H270 zenon_H461 zenon_H3b zenon_H25 zenon_H32b zenon_H15 zenon_H1b8 zenon_H13 zenon_H18e.
% 54.87/55.03 apply (zenon_or_s _ _ zenon_H2c9); [ zenon_intro zenon_H1d | zenon_intro zenon_H2ca ].
% 54.87/55.03 apply (zenon_L3_); trivial.
% 54.87/55.03 apply (zenon_or_s _ _ zenon_H2ca); [ zenon_intro zenon_H1f3 | zenon_intro zenon_H2cb ].
% 54.87/55.03 apply (zenon_L289_); trivial.
% 54.87/55.03 apply (zenon_or_s _ _ zenon_H2cb); [ zenon_intro zenon_H1d3 | zenon_intro zenon_H1ba ].
% 54.87/55.03 apply (zenon_L630_); trivial.
% 54.87/55.03 apply (zenon_L86_); trivial.
% 54.87/55.03 (* end of lemma zenon_L631_ *)
% 54.87/55.03 assert (zenon_L632_ : (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> ((e12) = (op1 (op1 (op1 (e11) (e11)) (op1 (e11) (e11))) (op1 (e11) (e11)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> ((op1 (e10) (e11)) = (e11)) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e11) (op1 (e11) (e13))) = (e13)) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> ((e10) = (op1 (e11) (e11))) -> ((op1 (e11) (e11)) = (e12)) -> ((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) -> (~((h2 (op1 (e11) (e13))) = (op2 (h2 (e11)) (h2 (e13))))) -> ((op2 (e21) (e23)) = (e23)) -> ((h2 (e11)) = (e21)) -> ((h2 (e13)) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((e23) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> False).
% 54.87/55.03 do 0 intro. intros zenon_H2c2 zenon_H15a zenon_H18e zenon_H32b zenon_H25 zenon_H2b9 zenon_H316 zenon_H301 zenon_H18a zenon_H155 zenon_H172 zenon_H1fd zenon_H1fe zenon_H2f8 zenon_H1cc zenon_H360 zenon_H29e zenon_H1e zenon_H2c9 zenon_H358 zenon_H13 zenon_H1b8 zenon_H15 zenon_H4b1 zenon_He9 zenon_H270 zenon_H461 zenon_H3b.
% 54.87/55.03 apply (zenon_or_s _ _ zenon_H2c2); [ zenon_intro zenon_H159 | zenon_intro zenon_H2c3 ].
% 54.87/55.03 apply (zenon_L64_); trivial.
% 54.87/55.03 apply (zenon_or_s _ _ zenon_H2c3); [ zenon_intro zenon_H2b7 | zenon_intro zenon_H2c4 ].
% 54.87/55.03 apply (zenon_L631_); trivial.
% 54.87/55.03 apply (zenon_or_s _ _ zenon_H2c4); [ zenon_intro zenon_H1f3 | zenon_intro zenon_H234 ].
% 54.87/55.03 apply (zenon_L289_); trivial.
% 54.87/55.03 apply (zenon_L613_); trivial.
% 54.87/55.03 (* end of lemma zenon_L632_ *)
% 54.87/55.03 assert (zenon_L633_ : (~((op1 (op1 (op1 (e11) (e11)) (op1 (e11) (e11))) (op1 (e11) (e11))) = (op1 (e10) (e13)))) -> ((e10) = (op1 (e11) (e11))) -> ((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) -> ((op1 (e11) (e12)) = (e12)) -> ((op1 (e13) (e10)) = (e12)) -> ((op1 (e10) (e13)) = (e12)) -> False).
% 54.87/55.03 do 0 intro. intros zenon_H4bd zenon_H13 zenon_H15 zenon_H1c6 zenon_H16b zenon_H31b.
% 54.87/55.03 cut (((op1 (e11) (e12)) = (e12)) = ((op1 (op1 (op1 (e11) (e11)) (op1 (e11) (e11))) (op1 (e11) (e11))) = (op1 (e10) (e13)))).
% 54.87/55.03 intro zenon_D_pnotp.
% 54.87/55.03 apply zenon_H4bd.
% 54.87/55.03 rewrite <- zenon_D_pnotp.
% 54.87/55.03 exact zenon_H1c6.
% 54.87/55.03 cut (((e12) = (op1 (e10) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H31c].
% 54.87/55.03 cut (((op1 (e11) (e12)) = (op1 (op1 (op1 (e11) (e11)) (op1 (e11) (e11))) (op1 (e11) (e11))))); [idtac | apply NNPP; zenon_intro zenon_H4be].
% 54.87/55.03 congruence.
% 54.87/55.03 elim (classic ((op1 (op1 (op1 (e11) (e11)) (op1 (e11) (e11))) (op1 (e11) (e11))) = (op1 (op1 (op1 (e11) (e11)) (op1 (e11) (e11))) (op1 (e11) (e11))))); [ zenon_intro zenon_H1c9 | zenon_intro zenon_H1ca ].
% 54.87/55.03 cut (((op1 (op1 (op1 (e11) (e11)) (op1 (e11) (e11))) (op1 (e11) (e11))) = (op1 (op1 (op1 (e11) (e11)) (op1 (e11) (e11))) (op1 (e11) (e11)))) = ((op1 (e11) (e12)) = (op1 (op1 (op1 (e11) (e11)) (op1 (e11) (e11))) (op1 (e11) (e11))))).
% 54.87/55.03 intro zenon_D_pnotp.
% 54.87/55.03 apply zenon_H4be.
% 54.87/55.03 rewrite <- zenon_D_pnotp.
% 54.87/55.03 exact zenon_H1c9.
% 54.87/55.03 cut (((op1 (op1 (op1 (e11) (e11)) (op1 (e11) (e11))) (op1 (e11) (e11))) = (op1 (op1 (op1 (e11) (e11)) (op1 (e11) (e11))) (op1 (e11) (e11))))); [idtac | apply NNPP; zenon_intro zenon_H1ca].
% 54.87/55.03 cut (((op1 (op1 (op1 (e11) (e11)) (op1 (e11) (e11))) (op1 (e11) (e11))) = (op1 (e11) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H1c5].
% 54.87/55.03 congruence.
% 54.87/55.03 apply (zenon_L88_); trivial.
% 54.87/55.03 apply zenon_H1ca. apply refl_equal.
% 54.87/55.03 apply zenon_H1ca. apply refl_equal.
% 54.87/55.03 apply zenon_H31c. apply sym_equal. exact zenon_H31b.
% 54.87/55.03 (* end of lemma zenon_L633_ *)
% 54.87/55.03 assert (zenon_L634_ : ((e12) = (op1 (op1 (op1 (e11) (e11)) (op1 (e11) (e11))) (op1 (e11) (e11)))) -> ((op1 (e12) (e13)) = (e12)) -> ((op1 (e10) (e13)) = (e12)) -> ((e10) = (op1 (e11) (e11))) -> ((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) -> ((op1 (e11) (e12)) = (e12)) -> ((op1 (e13) (e10)) = (e12)) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> False).
% 54.87/55.03 do 0 intro. intros zenon_H155 zenon_H22f zenon_H31b zenon_H13 zenon_H15 zenon_H1c6 zenon_H16b zenon_H2b9.
% 54.87/55.03 elim (classic ((op1 (e12) (e13)) = (op1 (e12) (e13)))); [ zenon_intro zenon_H2ba | zenon_intro zenon_H2bb ].
% 54.87/55.03 cut (((op1 (e12) (e13)) = (op1 (e12) (e13))) = ((op1 (e10) (e13)) = (op1 (e12) (e13)))).
% 54.87/55.03 intro zenon_D_pnotp.
% 54.87/55.03 apply zenon_H2b9.
% 54.87/55.03 rewrite <- zenon_D_pnotp.
% 54.87/55.03 exact zenon_H2ba.
% 54.87/55.03 cut (((op1 (e12) (e13)) = (op1 (e12) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H2bb].
% 54.87/55.03 cut (((op1 (e12) (e13)) = (op1 (e10) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H2bc].
% 54.87/55.03 congruence.
% 54.87/55.03 cut (((e12) = (op1 (op1 (op1 (e11) (e11)) (op1 (e11) (e11))) (op1 (e11) (e11)))) = ((op1 (e12) (e13)) = (op1 (e10) (e13)))).
% 54.87/55.03 intro zenon_D_pnotp.
% 54.87/55.03 apply zenon_H2bc.
% 54.87/55.03 rewrite <- zenon_D_pnotp.
% 54.87/55.03 exact zenon_H155.
% 54.87/55.03 cut (((op1 (op1 (op1 (e11) (e11)) (op1 (e11) (e11))) (op1 (e11) (e11))) = (op1 (e10) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H4bd].
% 54.87/55.03 cut (((e12) = (op1 (e12) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H2c6].
% 54.87/55.03 congruence.
% 54.87/55.03 elim (classic ((op1 (e12) (e13)) = (op1 (e12) (e13)))); [ zenon_intro zenon_H2ba | zenon_intro zenon_H2bb ].
% 54.87/55.03 cut (((op1 (e12) (e13)) = (op1 (e12) (e13))) = ((e12) = (op1 (e12) (e13)))).
% 54.87/55.03 intro zenon_D_pnotp.
% 54.87/55.03 apply zenon_H2c6.
% 54.87/55.03 rewrite <- zenon_D_pnotp.
% 54.87/55.03 exact zenon_H2ba.
% 54.87/55.03 cut (((op1 (e12) (e13)) = (op1 (e12) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H2bb].
% 54.87/55.03 cut (((op1 (e12) (e13)) = (e12))); [idtac | apply NNPP; zenon_intro zenon_H27d].
% 54.87/55.03 congruence.
% 54.87/55.03 exact (zenon_H27d zenon_H22f).
% 54.87/55.03 apply zenon_H2bb. apply refl_equal.
% 54.87/55.03 apply zenon_H2bb. apply refl_equal.
% 54.87/55.03 apply (zenon_L633_); trivial.
% 54.87/55.03 apply zenon_H2bb. apply refl_equal.
% 54.87/55.03 apply zenon_H2bb. apply refl_equal.
% 54.87/55.03 (* end of lemma zenon_L634_ *)
% 54.87/55.03 assert (zenon_L635_ : (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> ((op1 (e10) (e11)) = (e12)) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> ((e12) = (op1 (op1 (op1 (e11) (e11)) (op1 (e11) (e11))) (op1 (e11) (e11)))) -> ((op1 (e10) (e13)) = (e12)) -> ((e10) = (op1 (e11) (e11))) -> ((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) -> ((op1 (e11) (e12)) = (e12)) -> ((op1 (e13) (e10)) = (e12)) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> False).
% 54.87/55.03 do 0 intro. intros zenon_H23b zenon_H21a zenon_H1dc zenon_H204 zenon_H1cc zenon_H155 zenon_H31b zenon_H13 zenon_H15 zenon_H1c6 zenon_H16b zenon_H2b9.
% 54.87/55.03 apply (zenon_or_s _ _ zenon_H23b); [ zenon_intro zenon_H21b | zenon_intro zenon_H23d ].
% 54.87/55.03 apply (zenon_L109_); trivial.
% 54.87/55.03 apply (zenon_or_s _ _ zenon_H23d); [ zenon_intro zenon_H202 | zenon_intro zenon_H23e ].
% 54.87/55.03 apply (zenon_L102_); trivial.
% 54.87/55.03 apply (zenon_or_s _ _ zenon_H23e); [ zenon_intro zenon_H1cb | zenon_intro zenon_H22f ].
% 54.87/55.03 apply (zenon_L89_); trivial.
% 54.87/55.03 apply (zenon_L634_); trivial.
% 54.87/55.03 (* end of lemma zenon_L635_ *)
% 54.87/55.03 assert (zenon_L636_ : (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (e10))) -> ((op1 (e10) (e11)) = (e11)) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> ((op1 (e13) (e10)) = (e12)) -> ((op1 (e11) (e12)) = (e12)) -> ((e12) = (op1 (op1 (op1 (e11) (e11)) (op1 (e11) (e11))) (op1 (e11) (e11)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> ((op1 (e10) (e11)) = (e12)) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> ((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) -> ((e10) = (op1 (e11) (e11))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> False).
% 54.87/55.03 do 0 intro. intros zenon_H328 zenon_H25f zenon_H1fe zenon_H485 zenon_H2b9 zenon_H16b zenon_H1c6 zenon_H155 zenon_H1cc zenon_H204 zenon_H1dc zenon_H21a zenon_H23b zenon_H15 zenon_H13 zenon_H25.
% 54.87/55.03 apply (zenon_or_s _ _ zenon_H328); [ zenon_intro zenon_H19b | zenon_intro zenon_H329 ].
% 54.87/55.03 exact (zenon_H25f zenon_H19b).
% 54.87/55.03 apply (zenon_or_s _ _ zenon_H329); [ zenon_intro zenon_H2ef | zenon_intro zenon_H32a ].
% 54.87/55.03 apply (zenon_L524_); trivial.
% 54.87/55.03 apply (zenon_or_s _ _ zenon_H32a); [ zenon_intro zenon_H31b | zenon_intro zenon_H24 ].
% 54.87/55.03 apply (zenon_L635_); trivial.
% 54.87/55.03 apply (zenon_L4_); trivial.
% 54.87/55.03 (* end of lemma zenon_L636_ *)
% 54.87/55.03 assert (zenon_L637_ : (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> ((e10) = (op1 (e11) (e11))) -> ((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> ((op1 (e10) (e13)) = (e12)) -> ((op1 (e11) (op1 (e11) (e12))) = (e12)) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e11) (op1 (e11) (e13))) = (e13)) -> ((op1 (e11) (e13)) = (e12)) -> False).
% 54.87/55.03 do 0 intro. intros zenon_H2c9 zenon_H1e zenon_H13 zenon_H15 zenon_H30e zenon_H31b zenon_H375 zenon_H1cc zenon_H1f4 zenon_H29e zenon_H1ec.
% 54.87/55.03 apply (zenon_or_s _ _ zenon_H2c9); [ zenon_intro zenon_H1d | zenon_intro zenon_H2ca ].
% 54.87/55.03 apply (zenon_L3_); trivial.
% 54.87/55.03 apply (zenon_or_s _ _ zenon_H2ca); [ zenon_intro zenon_H1f3 | zenon_intro zenon_H2cb ].
% 54.87/55.03 apply (zenon_L496_); trivial.
% 54.87/55.03 apply (zenon_or_s _ _ zenon_H2cb); [ zenon_intro zenon_H1d3 | zenon_intro zenon_H1ba ].
% 54.87/55.03 apply (zenon_L483_); trivial.
% 54.87/55.03 apply (zenon_L159_); trivial.
% 54.87/55.03 (* end of lemma zenon_L637_ *)
% 54.87/55.03 assert (zenon_L638_ : (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (e10))) -> ((op1 (e10) (e11)) = (e11)) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> ((op1 (e11) (e13)) = (e12)) -> ((op1 (e11) (op1 (e11) (e13))) = (e13)) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> ((op1 (e11) (op1 (e11) (e12))) = (e12)) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> ((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) -> ((e10) = (op1 (e11) (e11))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> False).
% 54.87/55.03 do 0 intro. intros zenon_H328 zenon_H25f zenon_H1fe zenon_H485 zenon_H1ec zenon_H29e zenon_H1f4 zenon_H1cc zenon_H375 zenon_H30e zenon_H1e zenon_H2c9 zenon_H15 zenon_H13 zenon_H25.
% 54.87/55.03 apply (zenon_or_s _ _ zenon_H328); [ zenon_intro zenon_H19b | zenon_intro zenon_H329 ].
% 54.87/55.03 exact (zenon_H25f zenon_H19b).
% 54.87/55.03 apply (zenon_or_s _ _ zenon_H329); [ zenon_intro zenon_H2ef | zenon_intro zenon_H32a ].
% 54.87/55.03 apply (zenon_L524_); trivial.
% 54.87/55.03 apply (zenon_or_s _ _ zenon_H32a); [ zenon_intro zenon_H31b | zenon_intro zenon_H24 ].
% 54.87/55.03 apply (zenon_L637_); trivial.
% 54.87/55.03 apply (zenon_L4_); trivial.
% 54.87/55.03 (* end of lemma zenon_L638_ *)
% 54.87/55.03 assert (zenon_L639_ : (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> ((e12) = (op1 (op1 (op1 (e11) (e11)) (op1 (e11) (e11))) (op1 (e11) (e11)))) -> ((op1 (e10) (e12)) = (e12)) -> ((op1 (e13) (e10)) = (e12)) -> ((op1 (e11) (e12)) = (e12)) -> ((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) -> ((e10) = (op1 (e11) (e11))) -> False).
% 54.87/55.03 do 0 intro. intros zenon_H358 zenon_H155 zenon_H4bf zenon_H16b zenon_H1c6 zenon_H15 zenon_H13.
% 54.87/55.03 cut (((e12) = (op1 (op1 (op1 (e11) (e11)) (op1 (e11) (e11))) (op1 (e11) (e11)))) = ((op1 (e10) (e12)) = (op1 (e11) (e12)))).
% 54.87/55.03 intro zenon_D_pnotp.
% 54.87/55.03 apply zenon_H358.
% 54.87/55.03 rewrite <- zenon_D_pnotp.
% 54.87/55.03 exact zenon_H155.
% 54.87/55.03 cut (((op1 (op1 (op1 (e11) (e11)) (op1 (e11) (e11))) (op1 (e11) (e11))) = (op1 (e11) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H1c5].
% 54.87/55.03 cut (((e12) = (op1 (e10) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H4c0].
% 54.87/55.03 congruence.
% 54.87/55.03 elim (classic ((op1 (e10) (e12)) = (op1 (e10) (e12)))); [ zenon_intro zenon_H1f | zenon_intro zenon_H20 ].
% 54.87/55.03 cut (((op1 (e10) (e12)) = (op1 (e10) (e12))) = ((e12) = (op1 (e10) (e12)))).
% 54.87/55.03 intro zenon_D_pnotp.
% 54.87/55.03 apply zenon_H4c0.
% 54.87/55.03 rewrite <- zenon_D_pnotp.
% 54.87/55.03 exact zenon_H1f.
% 54.87/55.03 cut (((op1 (e10) (e12)) = (op1 (e10) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H20].
% 54.87/55.03 cut (((op1 (e10) (e12)) = (e12))); [idtac | apply NNPP; zenon_intro zenon_H4c1].
% 54.87/55.03 congruence.
% 54.87/55.03 exact (zenon_H4c1 zenon_H4bf).
% 54.87/55.03 apply zenon_H20. apply refl_equal.
% 54.87/55.03 apply zenon_H20. apply refl_equal.
% 54.87/55.03 apply (zenon_L88_); trivial.
% 54.87/55.03 (* end of lemma zenon_L639_ *)
% 54.87/55.03 assert (zenon_L640_ : (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> ((op1 (e11) (e12)) = (e12)) -> ((op1 (e10) (e12)) = (e12)) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> ((e12) = (op1 (op1 (op1 (e11) (e11)) (op1 (e11) (e11))) (op1 (e11) (e11)))) -> ((e10) = (op1 (e11) (e11))) -> ((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> False).
% 54.87/55.03 do 0 intro. intros zenon_H186 zenon_H1c6 zenon_H4bf zenon_H358 zenon_H172 zenon_H179 zenon_H155 zenon_H13 zenon_H15 zenon_H180.
% 54.87/55.03 apply (zenon_or_s _ _ zenon_H186); [ zenon_intro zenon_H16b | zenon_intro zenon_H187 ].
% 54.87/55.03 apply (zenon_L639_); trivial.
% 54.87/55.03 apply (zenon_or_s _ _ zenon_H187); [ zenon_intro zenon_H171 | zenon_intro zenon_H188 ].
% 54.87/55.03 apply (zenon_L69_); trivial.
% 54.87/55.03 apply (zenon_or_s _ _ zenon_H188); [ zenon_intro zenon_H178 | zenon_intro zenon_H17f ].
% 54.87/55.03 apply (zenon_L70_); trivial.
% 54.87/55.03 apply (zenon_L71_); trivial.
% 54.87/55.03 (* end of lemma zenon_L640_ *)
% 54.87/55.03 assert (zenon_L641_ : (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((e12) = (e13))) -> ((op1 (e12) (e11)) = (e12)) -> ((op1 (e11) (op1 (e11) (e13))) = (e13)) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> ((op1 (e10) (e11)) = (e11)) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> ((e12) = (op1 (op1 (op1 (e11) (e11)) (op1 (e11) (e11))) (op1 (e11) (e11)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((h2 (op1 (e11) (e13))) = (op2 (h2 (e11)) (h2 (e13))))) -> ((op2 (e21) (e23)) = (e23)) -> ((h2 (e11)) = (e21)) -> ((h2 (e13)) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((e23) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> ((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) -> ((op1 (e11) (e11)) = (e13)) -> ((e10) = (op1 (e11) (e11))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> False).
% 54.87/55.03 do 0 intro. intros zenon_H2e7 zenon_H2ad zenon_H236 zenon_H202 zenon_H29e zenon_H360 zenon_H1cc zenon_H2f8 zenon_H1fe zenon_H1fd zenon_H172 zenon_H155 zenon_H18a zenon_H301 zenon_H316 zenon_H4b1 zenon_He9 zenon_H270 zenon_H461 zenon_H3b zenon_H25 zenon_H32b zenon_H15 zenon_H2b7 zenon_H13 zenon_H2b9.
% 54.87/55.03 apply (zenon_or_s _ _ zenon_H2e7); [ zenon_intro zenon_H2ac | zenon_intro zenon_H2e8 ].
% 54.87/55.03 apply (zenon_L154_); trivial.
% 54.87/55.03 apply (zenon_or_s _ _ zenon_H2e8); [ zenon_intro zenon_H2e3 | zenon_intro zenon_H2e9 ].
% 54.87/55.03 apply (zenon_L482_); trivial.
% 54.87/55.03 apply (zenon_or_s _ _ zenon_H2e9); [ zenon_intro zenon_H1d3 | zenon_intro zenon_H235 ].
% 54.87/55.03 apply (zenon_L630_); trivial.
% 54.87/55.03 apply (zenon_L163_); trivial.
% 54.87/55.03 (* end of lemma zenon_L641_ *)
% 54.87/55.03 assert (zenon_L642_ : (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> ((e10) = (op1 (e11) (e11))) -> ((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> ((e12) = (op1 (op1 (op1 (e11) (e11)) (op1 (e11) (e11))) (op1 (e11) (e11)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> ((op1 (e10) (e11)) = (e11)) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e11) (op1 (e11) (e13))) = (e13)) -> ((op1 (e12) (e11)) = (e12)) -> (~((e12) = (e13))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> ((op1 (e10) (e13)) = (e12)) -> ((op1 (e11) (op1 (e11) (e12))) = (e12)) -> (~((h2 (op1 (e11) (e13))) = (op2 (h2 (e11)) (h2 (e13))))) -> ((op2 (e21) (e23)) = (e23)) -> ((h2 (e11)) = (e21)) -> ((h2 (e13)) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((e23) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> False).
% 54.87/55.03 do 0 intro. intros zenon_H2c2 zenon_H15a zenon_H2b9 zenon_H13 zenon_H15 zenon_H32b zenon_H25 zenon_H316 zenon_H301 zenon_H18a zenon_H155 zenon_H172 zenon_H1fd zenon_H1fe zenon_H2f8 zenon_H1cc zenon_H360 zenon_H29e zenon_H202 zenon_H236 zenon_H2ad zenon_H2e7 zenon_H30e zenon_H31b zenon_H375 zenon_H4b1 zenon_He9 zenon_H270 zenon_H461 zenon_H3b.
% 54.87/55.03 apply (zenon_or_s _ _ zenon_H2c2); [ zenon_intro zenon_H159 | zenon_intro zenon_H2c3 ].
% 54.87/55.03 apply (zenon_L64_); trivial.
% 54.87/55.03 apply (zenon_or_s _ _ zenon_H2c3); [ zenon_intro zenon_H2b7 | zenon_intro zenon_H2c4 ].
% 54.87/55.03 apply (zenon_L641_); trivial.
% 54.87/55.03 apply (zenon_or_s _ _ zenon_H2c4); [ zenon_intro zenon_H1f3 | zenon_intro zenon_H234 ].
% 54.87/55.03 apply (zenon_L496_); trivial.
% 54.87/55.03 apply (zenon_L613_); trivial.
% 54.87/55.03 (* end of lemma zenon_L642_ *)
% 54.87/55.03 assert (zenon_L643_ : (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e10)) = (e12))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e13) (e10)) = (e12))))) -> (~((op1 (e10) (e10)) = (e12))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> ((e12) = (op1 (op1 (op1 (e11) (e11)) (op1 (e11) (e11))) (op1 (e11) (e11)))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (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 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((e12) = (e13))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((h2 (op1 (e11) (e13))) = (op2 (h2 (e11)) (h2 (e13))))) -> ((op2 (e21) (e23)) = (e23)) -> ((h2 (e11)) = (e21)) -> ((h2 (e13)) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((e23) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (e10))) -> ((op1 (e10) (e11)) = (e11)) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> ((op1 (e11) (op1 (e11) (e13))) = (e13)) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> ((op1 (e11) (op1 (e11) (e12))) = (e12)) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> ((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) -> ((e10) = (op1 (e11) (e11))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> False).
% 54.87/55.03 do 0 intro. intros zenon_H4c2 zenon_H186 zenon_H179 zenon_H180 zenon_H4c3 zenon_H4c4 zenon_H1fa zenon_H154 zenon_H18e zenon_H172 zenon_H155 zenon_H2c2 zenon_H15a zenon_H2b9 zenon_H32b zenon_H316 zenon_H301 zenon_H18a zenon_H1fd zenon_H2f8 zenon_H360 zenon_H236 zenon_H2ad zenon_H2e7 zenon_H4b1 zenon_He9 zenon_H270 zenon_H461 zenon_H3b zenon_H21a zenon_H23b zenon_H358 zenon_H204 zenon_H209 zenon_H328 zenon_H25f zenon_H1fe zenon_H485 zenon_H29e zenon_H1f4 zenon_H1cc zenon_H375 zenon_H30e zenon_H1e zenon_H2c9 zenon_H15 zenon_H13 zenon_H25.
% 54.87/55.03 apply (zenon_or_s _ _ zenon_H4c2); [ zenon_intro zenon_H4c6 | zenon_intro zenon_H4c5 ].
% 54.87/55.03 exact (zenon_H4c4 zenon_H4c6).
% 54.87/55.03 apply (zenon_or_s _ _ zenon_H4c5); [ zenon_intro zenon_H1dc | zenon_intro zenon_H4c7 ].
% 54.87/55.03 apply (zenon_or_s _ _ zenon_H4c3); [ zenon_intro zenon_H4c6 | zenon_intro zenon_H4c8 ].
% 54.87/55.03 exact (zenon_H4c4 zenon_H4c6).
% 54.87/55.03 apply (zenon_or_s _ _ zenon_H4c8); [ zenon_intro zenon_H156 | zenon_intro zenon_H4c9 ].
% 54.87/55.03 apply (zenon_L63_); trivial.
% 54.87/55.03 apply (zenon_or_s _ _ zenon_H4c9); [ zenon_intro zenon_H21b | zenon_intro zenon_H16b ].
% 54.87/55.03 apply (zenon_L109_); trivial.
% 54.87/55.03 apply (zenon_or_s _ _ zenon_H1fa); [ zenon_intro zenon_H156 | zenon_intro zenon_H1fb ].
% 54.87/55.03 apply (zenon_L63_); trivial.
% 54.87/55.03 apply (zenon_or_s _ _ zenon_H1fb); [ zenon_intro zenon_H1b8 | zenon_intro zenon_H1fc ].
% 54.87/55.03 apply (zenon_L632_); trivial.
% 54.87/55.03 apply (zenon_or_s _ _ zenon_H1fc); [ zenon_intro zenon_H1c6 | zenon_intro zenon_H1ec ].
% 54.87/55.03 apply (zenon_L636_); trivial.
% 54.87/55.03 apply (zenon_L638_); trivial.
% 54.87/55.03 apply (zenon_or_s _ _ zenon_H4c7); [ zenon_intro zenon_H4bf | zenon_intro zenon_H31b ].
% 54.87/55.03 apply (zenon_or_s _ _ zenon_H1fa); [ zenon_intro zenon_H156 | zenon_intro zenon_H1fb ].
% 54.87/55.03 apply (zenon_L63_); trivial.
% 54.87/55.03 apply (zenon_or_s _ _ zenon_H1fb); [ zenon_intro zenon_H1b8 | zenon_intro zenon_H1fc ].
% 54.87/55.03 apply (zenon_L632_); trivial.
% 54.87/55.03 apply (zenon_or_s _ _ zenon_H1fc); [ zenon_intro zenon_H1c6 | zenon_intro zenon_H1ec ].
% 54.87/55.03 apply (zenon_L640_); trivial.
% 54.87/55.03 apply (zenon_L638_); trivial.
% 54.87/55.03 apply (zenon_or_s _ _ zenon_H4c3); [ zenon_intro zenon_H4c6 | zenon_intro zenon_H4c8 ].
% 54.87/55.03 exact (zenon_H4c4 zenon_H4c6).
% 54.87/55.03 apply (zenon_or_s _ _ zenon_H4c8); [ zenon_intro zenon_H156 | zenon_intro zenon_H4c9 ].
% 54.87/55.03 apply (zenon_L63_); trivial.
% 54.87/55.03 apply (zenon_or_s _ _ zenon_H4c9); [ zenon_intro zenon_H21b | zenon_intro zenon_H16b ].
% 54.87/55.03 apply (zenon_L109_); trivial.
% 54.87/55.03 apply (zenon_or_s _ _ zenon_H1fa); [ zenon_intro zenon_H156 | zenon_intro zenon_H1fb ].
% 54.87/55.03 apply (zenon_L63_); trivial.
% 54.87/55.03 apply (zenon_or_s _ _ zenon_H1fb); [ zenon_intro zenon_H1b8 | zenon_intro zenon_H1fc ].
% 54.87/55.03 apply (zenon_or_s _ _ zenon_H2c2); [ zenon_intro zenon_H159 | zenon_intro zenon_H2c3 ].
% 54.87/55.03 apply (zenon_L64_); trivial.
% 54.87/55.03 apply (zenon_or_s _ _ zenon_H2c3); [ zenon_intro zenon_H2b7 | zenon_intro zenon_H2c4 ].
% 54.87/55.03 apply (zenon_L631_); trivial.
% 54.87/55.03 apply (zenon_or_s _ _ zenon_H2c4); [ zenon_intro zenon_H1f3 | zenon_intro zenon_H234 ].
% 54.87/55.03 apply (zenon_L496_); trivial.
% 54.87/55.03 apply (zenon_L613_); trivial.
% 54.87/55.03 apply (zenon_or_s _ _ zenon_H1fc); [ zenon_intro zenon_H1c6 | zenon_intro zenon_H1ec ].
% 54.87/55.03 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H1dc | zenon_intro zenon_H20a ].
% 54.87/55.03 apply (zenon_L636_); trivial.
% 54.87/55.03 apply (zenon_or_s _ _ zenon_H20a); [ zenon_intro zenon_H1b8 | zenon_intro zenon_H20b ].
% 54.87/55.04 apply (zenon_or_s _ _ zenon_H2c2); [ zenon_intro zenon_H159 | zenon_intro zenon_H2c3 ].
% 54.87/55.04 apply (zenon_L64_); trivial.
% 54.87/55.04 apply (zenon_or_s _ _ zenon_H2c3); [ zenon_intro zenon_H2b7 | zenon_intro zenon_H2c4 ].
% 54.87/55.04 apply (zenon_or_s _ _ zenon_H23b); [ zenon_intro zenon_H21b | zenon_intro zenon_H23d ].
% 54.87/55.04 apply (zenon_L109_); trivial.
% 54.87/55.04 apply (zenon_or_s _ _ zenon_H23d); [ zenon_intro zenon_H202 | zenon_intro zenon_H23e ].
% 54.87/55.04 apply (zenon_L641_); trivial.
% 54.87/55.04 apply (zenon_or_s _ _ zenon_H23e); [ zenon_intro zenon_H1cb | zenon_intro zenon_H22f ].
% 54.87/55.04 apply (zenon_L89_); trivial.
% 54.87/55.04 apply (zenon_L634_); trivial.
% 54.87/55.04 apply (zenon_or_s _ _ zenon_H2c4); [ zenon_intro zenon_H1f3 | zenon_intro zenon_H234 ].
% 54.87/55.04 apply (zenon_L289_); trivial.
% 54.87/55.04 apply (zenon_L613_); trivial.
% 54.87/55.04 apply (zenon_or_s _ _ zenon_H20b); [ zenon_intro zenon_H202 | zenon_intro zenon_H171 ].
% 54.87/55.04 apply (zenon_L642_); trivial.
% 54.87/55.04 apply (zenon_L69_); trivial.
% 54.87/55.04 apply (zenon_L638_); trivial.
% 54.87/55.04 (* end of lemma zenon_L643_ *)
% 54.87/55.04 assert (zenon_L644_ : (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> ((e10) = (op1 (e11) (e11))) -> ((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> ((op1 (e11) (op1 (e11) (e12))) = (e12)) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e11) (op1 (e11) (e13))) = (e13)) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> ((op1 (e10) (e11)) = (e11)) -> (~((op1 (e10) (e13)) = (e10))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> ((h2 (e13)) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((h2 (e11)) = (e21)) -> (~((h2 (op1 (e11) (e13))) = (op2 (h2 (e11)) (h2 (e13))))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((e12) = (e13))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> ((e12) = (op1 (op1 (op1 (e11) (e11)) (op1 (e11) (e11))) (op1 (e11) (e11)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e10) (e10)) = (e12))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e10)) = (e12))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e13) (e10)) = (e12))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> ((op2 (e21) (e21)) = (e23)) -> (((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e21)) = (e22))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> ((op2 (e20) (e21)) = (e21)) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> ((e23) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((e20) = (op2 (e21) (e21))) -> ((e22) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> False).
% 54.87/55.04 do 0 intro. intros zenon_H3b4 zenon_H9f zenon_H25 zenon_H13 zenon_H15 zenon_H2c9 zenon_H1e zenon_H30e zenon_H375 zenon_H1cc zenon_H1f4 zenon_H29e zenon_H485 zenon_H1fe zenon_H25f zenon_H328 zenon_H209 zenon_H204 zenon_H358 zenon_H23b zenon_H21a zenon_H461 zenon_H270 zenon_H4b1 zenon_H2e7 zenon_H2ad zenon_H236 zenon_H360 zenon_H2f8 zenon_H1fd zenon_H18a zenon_H301 zenon_H316 zenon_H32b zenon_H2b9 zenon_H15a zenon_H2c2 zenon_H155 zenon_H172 zenon_H18e zenon_H154 zenon_H1fa zenon_H4c4 zenon_H4c3 zenon_H180 zenon_H179 zenon_H186 zenon_H4c2 zenon_H116 zenon_H388 zenon_H3b1 zenon_H39d zenon_Hb9 zenon_H282 zenon_H60 zenon_H3b zenon_H33 zenon_H3f zenon_H3af.
% 54.87/55.04 apply (zenon_or_s _ _ zenon_H3b4); [ zenon_intro zenon_H9e | zenon_intro zenon_H3b5 ].
% 54.87/55.04 apply (zenon_L27_); trivial.
% 54.87/55.04 apply (zenon_or_s _ _ zenon_H3b5); [ zenon_intro zenon_He9 | zenon_intro zenon_H3b6 ].
% 54.87/55.04 apply (zenon_L643_); trivial.
% 54.87/55.04 apply (zenon_or_s _ _ zenon_H3b6); [ zenon_intro zenon_Heb | zenon_intro zenon_H106 ].
% 54.87/55.04 apply (zenon_L323_); trivial.
% 54.87/55.04 apply (zenon_L349_); trivial.
% 54.87/55.04 (* end of lemma zenon_L644_ *)
% 54.87/55.04 assert (zenon_L645_ : (((op2 (e21) (e20)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/((op2 (e21) (e23)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> ((e20) = (op2 (e21) (e21))) -> ((op2 (e20) (e20)) = (e23)) -> (~((op2 (e22) (e22)) = (e22))) -> (~((op2 (e22) (e22)) = (e21))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> ((op2 (e22) (e20)) = (e20)) -> (((op2 (e22) (e22)) = (e20))\/(((op2 (e22) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e22)) = (e23))))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> ((op2 (e21) (op2 (e21) (e22))) = (e22)) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> ((op2 (e20) (e21)) = (e21)) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> (((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e21)) = (e22))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e21) (e22)) = (op2 (e21) (e23)))) -> ((op2 (e21) (op2 (e21) (e23))) = (e23)) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e22) (e23)) = (e22))) -> ((e22) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> ((op2 (e22) (e21)) = (e22)) -> (~((e22) = (e23))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> (((op2 (e22) (e20)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e22) (e23)) = (e23))))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e10)) = (e12))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e13) (e10)) = (e12))))) -> (~((op1 (e10) (e10)) = (e12))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> ((e12) = (op1 (op1 (op1 (e11) (e11)) (op1 (e11) (e11))) (op1 (e11) (e11)))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (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 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((e12) = (e13))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((h2 (op1 (e11) (e13))) = (op2 (h2 (e11)) (h2 (e13))))) -> ((h2 (e11)) = (e21)) -> ((h2 (e13)) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((e23) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (e10))) -> ((op1 (e10) (e11)) = (e11)) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> ((op1 (e11) (op1 (e11) (e13))) = (e13)) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> ((op1 (e11) (op1 (e11) (e12))) = (e12)) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> ((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) -> ((e10) = (op1 (e11) (e11))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> False).
% 54.87/55.04 do 0 intro. intros zenon_H399 zenon_H45 zenon_H116 zenon_H47c zenon_H33 zenon_Ha8 zenon_Hd7 zenon_H101 zenon_H37d zenon_H121 zenon_H100 zenon_H47e zenon_H3a8 zenon_H481 zenon_H3af zenon_H60 zenon_H282 zenon_Hb9 zenon_H39d zenon_H3b1 zenon_H47a zenon_H395 zenon_H9f zenon_H3b4 zenon_H281 zenon_H3f zenon_H6e zenon_Hd3 zenon_Hec zenon_H11f zenon_H3f1 zenon_H4c2 zenon_H186 zenon_H179 zenon_H180 zenon_H4c3 zenon_H4c4 zenon_H1fa zenon_H154 zenon_H18e zenon_H172 zenon_H155 zenon_H2c2 zenon_H15a zenon_H2b9 zenon_H32b zenon_H316 zenon_H301 zenon_H18a zenon_H1fd zenon_H2f8 zenon_H360 zenon_H236 zenon_H2ad zenon_H2e7 zenon_H4b1 zenon_H270 zenon_H461 zenon_H3b zenon_H21a zenon_H23b zenon_H358 zenon_H204 zenon_H209 zenon_H328 zenon_H25f zenon_H1fe zenon_H485 zenon_H29e zenon_H1f4 zenon_H1cc zenon_H375 zenon_H30e zenon_H1e zenon_H2c9 zenon_H15 zenon_H13 zenon_H25.
% 54.87/55.04 apply (zenon_or_s _ _ zenon_H399); [ zenon_intro zenon_H44 | zenon_intro zenon_H39a ].
% 54.87/55.04 apply (zenon_L10_); trivial.
% 54.87/55.04 apply (zenon_or_s _ _ zenon_H39a); [ zenon_intro zenon_H388 | zenon_intro zenon_H39b ].
% 54.87/55.04 apply (zenon_L644_); trivial.
% 54.87/55.04 apply (zenon_or_s _ _ zenon_H39b); [ zenon_intro zenon_H38e | zenon_intro zenon_He9 ].
% 54.87/55.04 apply (zenon_L519_); trivial.
% 54.87/55.04 apply (zenon_L643_); trivial.
% 54.87/55.04 (* end of lemma zenon_L645_ *)
% 54.87/55.04 assert (zenon_L646_ : ((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12)))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e20) (e21)) = (e23))\/(((op2 (e20) (e22)) = (e23))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e22)))) -> (((op2 (e20) (e21)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e23) (e21)) = (e22))))) -> (((op2 (e22) (e20)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e22) (e23)) = (e23))))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> ((op2 (e22) (e20)) = (e20)) -> (~((op2 (e22) (e22)) = (e21))) -> (((op2 (e22) (e22)) = (e20))\/(((op2 (e22) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e22)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> ((op2 (e21) (op2 (e21) (e22))) = (e22)) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> ((op2 (e21) (op2 (e21) (e23))) = (e23)) -> (~((op2 (e21) (e22)) = (op2 (e21) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((e22) = (e23))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e21)) = (e22))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e10)) = (e12))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e13) (e10)) = (e12))))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> ((op1 (e11) (op1 (e11) (e13))) = (e13)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> ((op1 (e10) (e11)) = (e11)) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> ((h2 (e11)) = (e21)) -> ((h2 (e13)) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> (~((h2 (op1 (e11) (e13))) = (op2 (h2 (e11)) (h2 (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> ((op1 (e11) (op1 (e11) (e12))) = (e12)) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> ((e12) = (op1 (op1 (op1 (e11) (e11)) (op1 (e11) (e11))) (op1 (e11) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((e12) = (e13))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (((op2 (e21) (e20)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/((op2 (e21) (e23)) = (e23))))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> ((e22) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> ((e23) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((e20) = (op2 (e21) (e21))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (~((op2 (e22) (e22)) = (e22))) -> (~((op2 (e22) (e23)) = (e22))) -> (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> (~((op2 (e21) (e21)) = (e21))) -> (~((e21) = (e22))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> (((op2 (e20) (e21)) = (e20))\/(((op2 (e20) (e21)) = (e21))\/(((op2 (e20) (e21)) = (e22))\/((op2 (e20) (e21)) = (e23))))) -> (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> ((e10) = (op1 (e11) (e11))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (~((op1 (e10) (e10)) = (e10))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> ((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> ((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))) -> False).
% 54.87/55.04 do 0 intro. intros zenon_H25e zenon_Ha5 zenon_H98 zenon_H3fd zenon_H3f1 zenon_H37d zenon_H121 zenon_H101 zenon_H100 zenon_H3a8 zenon_H481 zenon_H47c zenon_H395 zenon_H47a zenon_H6e zenon_H47e zenon_Hec zenon_H11f zenon_H45 zenon_H3b4 zenon_H39d zenon_H282 zenon_H60 zenon_H3af zenon_H3b1 zenon_H116 zenon_H4c3 zenon_H2c2 zenon_H358 zenon_H32b zenon_H301 zenon_H2f8 zenon_H29e zenon_H172 zenon_H1fe zenon_H1fd zenon_H18a zenon_H1cc zenon_H360 zenon_H316 zenon_H2b9 zenon_H270 zenon_H461 zenon_H4b1 zenon_H18e zenon_H2c9 zenon_H15a zenon_H328 zenon_H204 zenon_H23b zenon_H485 zenon_H30e zenon_H375 zenon_H1f4 zenon_H1fa zenon_H21a zenon_H155 zenon_H154 zenon_H179 zenon_H180 zenon_H186 zenon_H209 zenon_H2ad zenon_H236 zenon_H2e7 zenon_H4c2 zenon_H9f zenon_H437 zenon_H399 zenon_Hb0 zenon_H3f zenon_H3b zenon_H33 zenon_H286 zenon_Hd7 zenon_H281 zenon_Hf1 zenon_H28d zenon_H27e zenon_H8d zenon_H93 zenon_H289 zenon_H28c zenon_H246 zenon_H13 zenon_H19d zenon_H146 zenon_H1a0 zenon_H25 zenon_H1e zenon_H15 zenon_H17 zenon_H25d.
% 54.87/55.04 apply (zenon_or_s _ _ zenon_H25e); [ zenon_intro zenon_H458 | zenon_intro zenon_H4c4 ].
% 54.87/55.04 apply (zenon_L629_); trivial.
% 54.87/55.04 apply (zenon_or_s _ _ zenon_H25d); [ zenon_intro zenon_H25f | zenon_intro zenon_H1a1 ].
% 54.87/55.04 apply (zenon_or_s _ _ zenon_Ha5); [ zenon_intro zenon_Ha8 | zenon_intro zenon_Ha7 ].
% 54.87/55.04 apply (zenon_or_s _ _ zenon_H28c); [ zenon_intro zenon_Hb9 | zenon_intro zenon_H28e ].
% 54.87/55.04 apply (zenon_or_s _ _ zenon_H3fd); [ zenon_intro zenon_H285 | zenon_intro zenon_H3ff ].
% 54.87/55.04 apply (zenon_L572_); trivial.
% 54.87/55.04 apply (zenon_or_s _ _ zenon_H3ff); [ zenon_intro zenon_H401 | zenon_intro zenon_H400 ].
% 54.87/55.04 apply (zenon_or_s _ _ zenon_H399); [ zenon_intro zenon_H44 | zenon_intro zenon_H39a ].
% 54.87/55.04 apply (zenon_L10_); trivial.
% 54.87/55.04 apply (zenon_or_s _ _ zenon_H39a); [ zenon_intro zenon_H388 | zenon_intro zenon_H39b ].
% 54.87/55.04 apply (zenon_L644_); trivial.
% 54.87/55.04 apply (zenon_or_s _ _ zenon_H39b); [ zenon_intro zenon_H38e | zenon_intro zenon_He9 ].
% 54.87/55.04 apply (zenon_L449_); trivial.
% 54.87/55.04 apply (zenon_L643_); trivial.
% 54.87/55.04 apply (zenon_or_s _ _ zenon_H400); [ zenon_intro zenon_Hd3 | zenon_intro zenon_H5f ].
% 54.87/55.04 apply (zenon_L645_); trivial.
% 54.87/55.04 apply (zenon_L15_); trivial.
% 54.87/55.04 apply (zenon_or_s _ _ zenon_H28e); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H28f ].
% 54.87/55.04 exact (zenon_H28d zenon_Hc3).
% 54.87/55.04 apply (zenon_or_s _ _ zenon_H28f); [ zenon_intro zenon_H27f | zenon_intro zenon_H283 ].
% 54.87/55.04 apply (zenon_L134_); trivial.
% 54.87/55.04 apply (zenon_L138_); trivial.
% 54.87/55.04 apply (zenon_or_s _ _ zenon_Ha7); [ zenon_intro zenon_H92 | zenon_intro zenon_Ha9 ].
% 54.87/55.04 apply (zenon_L25_); trivial.
% 54.87/55.04 apply (zenon_or_s _ _ zenon_Ha9); [ zenon_intro zenon_H97 | zenon_intro zenon_H9e ].
% 54.87/55.04 apply (zenon_L26_); trivial.
% 54.87/55.04 apply (zenon_L27_); trivial.
% 54.87/55.04 apply (zenon_L79_); trivial.
% 54.87/55.04 (* end of lemma zenon_L646_ *)
% 54.87/55.04 assert (zenon_L647_ : (((op1 (e11) (e10)) = (e11))/\(((op1 (e10) (e11)) = (e11))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11))))/\(((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12))))/\((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13))))))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> ((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> ((e10) = (op1 (e11) (e11))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> (((op2 (e20) (e21)) = (e20))\/(((op2 (e20) (e21)) = (e21))\/(((op2 (e20) (e21)) = (e22))\/((op2 (e20) (e21)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> (~((e21) = (e22))) -> (~((op2 (e21) (e21)) = (e21))) -> (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> (~((op2 (e22) (e23)) = (e22))) -> (~((op2 (e22) (e22)) = (e22))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> ((e20) = (op2 (e21) (e21))) -> ((e23) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((e22) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> (((op2 (e21) (e20)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/((op2 (e21) (e23)) = (e23))))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((e12) = (e13))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> ((e12) = (op1 (op1 (op1 (e11) (e11)) (op1 (e11) (e11))) (op1 (e11) (e11)))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e11) (op1 (e11) (e12))) = (e12)) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((h2 (op1 (e11) (e13))) = (op2 (h2 (e11)) (h2 (e13))))) -> ((h2 (e13)) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((h2 (e11)) = (e21)) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> ((op1 (e11) (op1 (e11) (e13))) = (e13)) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e10)) = (e12))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e13) (e10)) = (e12))))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e21)) = (e22))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> (~((e22) = (e23))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op2 (e21) (e22)) = (op2 (e21) (e23)))) -> ((op2 (e21) (op2 (e21) (e23))) = (e23)) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> ((op2 (e21) (op2 (e21) (e22))) = (e22)) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (((op2 (e22) (e22)) = (e20))\/(((op2 (e22) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e22)) = (e23))))) -> (~((op2 (e22) (e22)) = (e21))) -> ((op2 (e22) (e20)) = (e20)) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> (((op2 (e22) (e20)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e22) (e23)) = (e23))))) -> (((op2 (e20) (e21)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e23) (e21)) = (e22))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e22)))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e20) (e21)) = (e23))\/(((op2 (e20) (e22)) = (e23))\/((op2 (e20) (e23)) = (e23))))) -> False).
% 54.87/55.04 do 0 intro. intros zenon_H259 zenon_H17 zenon_H15 zenon_H1e zenon_H25 zenon_H1a0 zenon_H19d zenon_H13 zenon_H246 zenon_H28c zenon_H289 zenon_H93 zenon_H8d zenon_H27e zenon_H28d zenon_Hf1 zenon_H281 zenon_Hd7 zenon_H286 zenon_H33 zenon_H3b zenon_H3f zenon_Hb0 zenon_H399 zenon_H437 zenon_H9f zenon_H4c2 zenon_H2e7 zenon_H236 zenon_H2ad zenon_H209 zenon_H186 zenon_H180 zenon_H179 zenon_H154 zenon_H155 zenon_H21a zenon_H1fa zenon_H1f4 zenon_H375 zenon_H30e zenon_H485 zenon_H23b zenon_H204 zenon_H328 zenon_H15a zenon_H2c9 zenon_H18e zenon_H4b1 zenon_H461 zenon_H270 zenon_H2b9 zenon_H316 zenon_H360 zenon_H1cc zenon_H18a zenon_H1fd zenon_H172 zenon_H29e zenon_H2f8 zenon_H301 zenon_H32b zenon_H358 zenon_H2c2 zenon_H4c3 zenon_H116 zenon_H3b1 zenon_H3af zenon_H60 zenon_H282 zenon_H39d zenon_H3b4 zenon_H45 zenon_H11f zenon_Hec zenon_H47e zenon_H6e zenon_H47a zenon_H395 zenon_H47c zenon_H481 zenon_H3a8 zenon_H100 zenon_H101 zenon_H121 zenon_H37d zenon_H3f1 zenon_H3fd zenon_H98 zenon_Ha5.
% 54.87/55.04 apply (zenon_and_s _ _ zenon_H259). zenon_intro zenon_H163. zenon_intro zenon_H25a.
% 54.87/55.04 apply (zenon_and_s _ _ zenon_H25a). zenon_intro zenon_H1fe. zenon_intro zenon_H149.
% 54.87/55.04 apply (zenon_and_s _ _ zenon_H149). zenon_intro zenon_H144. zenon_intro zenon_H14a.
% 54.87/55.04 apply (zenon_and_s _ _ zenon_H14a). zenon_intro zenon_H25c. zenon_intro zenon_H25b.
% 54.87/55.04 apply (zenon_and_s _ _ zenon_H25b). zenon_intro zenon_H25e. zenon_intro zenon_H25d.
% 54.87/55.04 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_H146 | zenon_intro zenon_H146 ].
% 54.87/55.04 apply (zenon_L646_); trivial.
% 54.87/55.04 apply (zenon_L646_); trivial.
% 54.87/55.04 (* end of lemma zenon_L647_ *)
% 54.87/55.04 assert (zenon_L648_ : (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e12)) = (e12))) -> (~((op1 (e12) (e12)) = (e11))) -> ((op1 (e10) (e12)) = (e10)) -> ((op1 (e12) (e10)) = (e10)) -> ((op1 (e11) (op1 (e11) (e10))) = (e10)) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> ((e23) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((h2 (e13)) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((h2 (e11)) = (e21)) -> ((op2 (e21) (e23)) = (e23)) -> (~((h2 (op1 (e11) (e13))) = (op2 (h2 (e11)) (h2 (e13))))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e12) (e13)) = (e12))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> ((op1 (e11) (op1 (e11) (e12))) = (e12)) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((e12) = (e13))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((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)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e11) (e11)) = (e11))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> ((e10) = (op1 (e11) (e11))) -> ((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> ((e12) = (op1 (op1 (op1 (e11) (e11)) (op1 (e11) (e11))) (op1 (e11) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e12))\/((op1 (e11) (e10)) = (e13))))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> ((op1 (e11) (op1 (e11) (e13))) = (e13)) -> ((op1 (e13) (e11)) = (e13)) -> False).
% 54.87/55.04 do 0 intro. intros zenon_H474 zenon_H1cc zenon_H1d1 zenon_H23f zenon_H18f zenon_H293 zenon_H292 zenon_H1de zenon_H1da zenon_H209 zenon_H358 zenon_H3b zenon_H461 zenon_H270 zenon_He9 zenon_H4b1 zenon_H186 zenon_H27d zenon_H1ed zenon_H375 zenon_H30e zenon_H32e zenon_H179 zenon_H180 zenon_H2e7 zenon_H2ad zenon_H236 zenon_H17 zenon_H23b zenon_H21a zenon_H204 zenon_H316 zenon_H301 zenon_H1fd zenon_H2f8 zenon_H360 zenon_H19d zenon_H206 zenon_H25 zenon_H32b zenon_H2b9 zenon_H2c2 zenon_H172 zenon_H1fa zenon_H473 zenon_H15a zenon_H13 zenon_H15 zenon_H154 zenon_H155 zenon_H1a9 zenon_H14b zenon_H15f zenon_H18a zenon_H29e zenon_H1c3.
% 54.87/55.04 apply (zenon_or_s _ _ zenon_H474); [ zenon_intro zenon_H163 | zenon_intro zenon_H475 ].
% 54.87/55.04 apply (zenon_L618_); trivial.
% 54.87/55.04 apply (zenon_or_s _ _ zenon_H475); [ zenon_intro zenon_H1a7 | zenon_intro zenon_H476 ].
% 54.87/55.04 exact (zenon_H473 zenon_H1a7).
% 54.87/55.04 apply (zenon_or_s _ _ zenon_H476); [ zenon_intro zenon_H1a8 | zenon_intro zenon_H214 ].
% 54.87/55.04 apply (zenon_L82_); trivial.
% 54.87/55.04 apply (zenon_L149_); trivial.
% 54.87/55.04 (* end of lemma zenon_L648_ *)
% 54.87/55.04 assert (zenon_L649_ : (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> ((op1 (e13) (e11)) = (e13)) -> ((op1 (e11) (op1 (e11) (e13))) = (e13)) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e12))\/((op1 (e11) (e10)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> ((e12) = (op1 (op1 (op1 (e11) (e11)) (op1 (e11) (e11))) (op1 (e11) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> ((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) -> ((e10) = (op1 (e11) (e11))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (~((op1 (e11) (e11)) = (e11))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e11)) = (e12))\/((op1 (e10) (e11)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e11) (e11)) = (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 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (~((e12) = (e13))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> ((op1 (e11) (op1 (e11) (e12))) = (e12)) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (~((op1 (e12) (e13)) = (e12))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((h2 (op1 (e11) (e13))) = (op2 (h2 (e11)) (h2 (e13))))) -> ((h2 (e11)) = (e21)) -> ((h2 (e13)) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> ((op1 (e11) (op1 (e11) (e10))) = (e10)) -> ((op1 (e12) (e10)) = (e10)) -> ((op1 (e10) (e12)) = (e10)) -> (~((op1 (e12) (e12)) = (e11))) -> (~((op1 (e12) (e12)) = (e12))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> ((op2 (e21) (e21)) = (e23)) -> (((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e21)) = (e22))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> ((op2 (e20) (e21)) = (e21)) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> ((e23) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((e20) = (op2 (e21) (e21))) -> ((e22) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> False).
% 54.87/55.04 do 0 intro. intros zenon_H3b4 zenon_H9f zenon_H1c3 zenon_H29e zenon_H18a zenon_H15f zenon_H14b zenon_H1a9 zenon_H155 zenon_H154 zenon_H15 zenon_H13 zenon_H15a zenon_H473 zenon_H1fa zenon_H172 zenon_H2c2 zenon_H2b9 zenon_H32b zenon_H25 zenon_H206 zenon_H19d zenon_H360 zenon_H2f8 zenon_H1fd zenon_H301 zenon_H316 zenon_H204 zenon_H21a zenon_H23b zenon_H17 zenon_H236 zenon_H2ad zenon_H2e7 zenon_H180 zenon_H179 zenon_H32e zenon_H30e zenon_H375 zenon_H1ed zenon_H27d zenon_H186 zenon_H4b1 zenon_H270 zenon_H461 zenon_H358 zenon_H209 zenon_H1da zenon_H1de zenon_H292 zenon_H293 zenon_H18f zenon_H23f zenon_H1d1 zenon_H1cc zenon_H474 zenon_H116 zenon_H388 zenon_H3b1 zenon_H39d zenon_Hb9 zenon_H282 zenon_H60 zenon_H3b zenon_H33 zenon_H3f zenon_H3af.
% 54.87/55.04 apply (zenon_or_s _ _ zenon_H3b4); [ zenon_intro zenon_H9e | zenon_intro zenon_H3b5 ].
% 54.87/55.04 apply (zenon_L27_); trivial.
% 54.87/55.04 apply (zenon_or_s _ _ zenon_H3b5); [ zenon_intro zenon_He9 | zenon_intro zenon_H3b6 ].
% 54.87/55.04 apply (zenon_L648_); trivial.
% 54.87/55.04 apply (zenon_or_s _ _ zenon_H3b6); [ zenon_intro zenon_Heb | zenon_intro zenon_H106 ].
% 54.87/55.04 apply (zenon_L323_); trivial.
% 54.87/55.04 apply (zenon_L349_); trivial.
% 54.87/55.04 (* end of lemma zenon_L649_ *)
% 54.87/55.04 assert (zenon_L650_ : (((op2 (e21) (e20)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/((op2 (e21) (e23)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> ((e22) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> ((op2 (e20) (e21)) = (e21)) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> (((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e21)) = (e22))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> ((op1 (e13) (e11)) = (e13)) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> ((e20) = (op2 (e21) (e21))) -> ((op2 (e21) (e21)) = (e22)) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> ((e12) = (op1 (op1 (op1 (e11) (e11)) (op1 (e11) (e11))) (op1 (e11) (e11)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((e12) = (e13))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> ((op1 (e11) (op1 (e11) (e13))) = (e13)) -> ((e23) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((h2 (e13)) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((h2 (e11)) = (e21)) -> (~((h2 (op1 (e11) (e13))) = (op2 (h2 (e11)) (h2 (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e11)) = (e12))\/((op1 (e10) (e11)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e12) (e12)) = (e12))) -> (~((op1 (e12) (e13)) = (e12))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e12)) = (e11))) -> ((op1 (e11) (op1 (e11) (e10))) = (e10)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> ((op1 (e11) (op1 (e11) (e11))) = (e11)) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e12))\/((op1 (e11) (e10)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> ((op1 (e11) (op1 (e11) (e12))) = (e12)) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e11)) = (e11))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> ((op1 (e12) (e10)) = (e10)) -> ((op1 (e10) (e12)) = (e10)) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> ((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) -> ((e10) = (op1 (e11) (e11))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> False).
% 54.87/55.04 do 0 intro. intros zenon_H399 zenon_H45 zenon_H3af zenon_H3f zenon_H60 zenon_H282 zenon_Hb9 zenon_H39d zenon_H3b1 zenon_H116 zenon_H1c3 zenon_H9f zenon_H3b4 zenon_H437 zenon_H33 zenon_H401 zenon_H1a0 zenon_H172 zenon_H155 zenon_H313 zenon_H2b9 zenon_H1cc zenon_H2ad zenon_H2e7 zenon_H236 zenon_H18a zenon_H29e zenon_H3b zenon_H461 zenon_H270 zenon_H4b1 zenon_H358 zenon_H23b zenon_H21a zenon_H180 zenon_H179 zenon_H204 zenon_H186 zenon_H316 zenon_H301 zenon_H1fd zenon_H2f8 zenon_H360 zenon_H19d zenon_H206 zenon_H30e zenon_H32b zenon_H15a zenon_H2c2 zenon_H1d1 zenon_H27d zenon_H209 zenon_H154 zenon_H2b1 zenon_H1d8 zenon_H23f zenon_H292 zenon_H2a3 zenon_H1da zenon_H2a6 zenon_H2a5 zenon_H14b zenon_H15f zenon_H1b1 zenon_H1be zenon_H32e zenon_H375 zenon_H1ed zenon_H1fa zenon_H1a9 zenon_H473 zenon_H1de zenon_H293 zenon_H18f zenon_H474 zenon_H17 zenon_H1e zenon_H15 zenon_H13 zenon_H25.
% 54.87/55.04 apply (zenon_or_s _ _ zenon_H399); [ zenon_intro zenon_H44 | zenon_intro zenon_H39a ].
% 54.87/55.04 apply (zenon_L10_); trivial.
% 54.87/55.04 apply (zenon_or_s _ _ zenon_H39a); [ zenon_intro zenon_H388 | zenon_intro zenon_H39b ].
% 54.87/55.04 apply (zenon_L649_); trivial.
% 54.87/55.04 apply (zenon_or_s _ _ zenon_H39b); [ zenon_intro zenon_H38e | zenon_intro zenon_He9 ].
% 54.87/55.04 apply (zenon_L449_); trivial.
% 54.87/55.04 apply (zenon_L619_); trivial.
% 54.87/55.04 (* end of lemma zenon_L650_ *)
% 54.87/55.04 assert (zenon_L651_ : (((op2 (e20) (e20)) = (e23))\/(((op2 (e20) (e21)) = (e23))\/(((op2 (e20) (e22)) = (e23))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e22) (e23)) = (e22))) -> (~((op2 (e22) (e22)) = (e22))) -> (((op2 (e20) (e21)) = (e20))\/(((op2 (e20) (e21)) = (e21))\/(((op2 (e20) (e21)) = (e22))\/((op2 (e20) (e21)) = (e23))))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> ((e22) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> (~((e21) = (e22))) -> (~((op2 (e21) (e21)) = (e21))) -> (((op2 (e20) (e21)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e23) (e21)) = (e22))))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> ((op1 (e13) (e11)) = (e13)) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> ((e10) = (op1 (e11) (e11))) -> ((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> ((op1 (e10) (e12)) = (e10)) -> ((op1 (e12) (e10)) = (e10)) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e11)) = (e11))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> ((op1 (e11) (op1 (e11) (e12))) = (e12)) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e12))\/((op1 (e11) (e10)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> ((op1 (e11) (op1 (e11) (e11))) = (e11)) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> ((op1 (e11) (op1 (e11) (e10))) = (e10)) -> (~((op1 (e12) (e12)) = (e11))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (~((op1 (e12) (e13)) = (e12))) -> (~((op1 (e12) (e12)) = (e12))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e11)) = (e12))\/((op1 (e10) (e11)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((h2 (op1 (e11) (e13))) = (op2 (h2 (e11)) (h2 (e13))))) -> ((h2 (e11)) = (e21)) -> ((h2 (e13)) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((op1 (e11) (op1 (e11) (e13))) = (e13)) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((e12) = (e13))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> ((e12) = (op1 (op1 (op1 (e11) (e11)) (op1 (e11) (e11))) (op1 (e11) (e11)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (((op2 (e22) (e20)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e22) (e23)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> (~((e22) = (e23))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> ((op2 (e21) (op2 (e21) (e23))) = (e23)) -> (~((op2 (e21) (e22)) = (op2 (e21) (e23)))) -> (((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e21)) = (e22))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> ((op2 (e21) (op2 (e21) (e22))) = (e22)) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (((op2 (e22) (e22)) = (e20))\/(((op2 (e22) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e22)) = (e23))))) -> ((op2 (e22) (e20)) = (e20)) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> (~((op2 (e22) (e22)) = (e21))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e20)) = (op2 (e23) (e20)))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (((op2 (e21) (e20)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/((op2 (e21) (e23)) = (e23))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e22)))) -> ((e23) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((e20) = (op2 (e21) (e21))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> False).
% 54.87/55.04 do 0 intro. intros zenon_Ha5 zenon_H281 zenon_Hd7 zenon_H289 zenon_H8d zenon_H282 zenon_H286 zenon_Hb0 zenon_H3f zenon_Hf1 zenon_H27e zenon_H28d zenon_H3fd zenon_H437 zenon_H1c3 zenon_H25 zenon_H13 zenon_H15 zenon_H1e zenon_H17 zenon_H474 zenon_H18f zenon_H293 zenon_H1de zenon_H473 zenon_H1a9 zenon_H1fa zenon_H1ed zenon_H375 zenon_H32e zenon_H1be zenon_H1b1 zenon_H15f zenon_H14b zenon_H2a5 zenon_H2a6 zenon_H1da zenon_H2a3 zenon_H292 zenon_H23f zenon_H1d8 zenon_H2b1 zenon_H154 zenon_H209 zenon_H27d zenon_H1d1 zenon_H2c2 zenon_H15a zenon_H32b zenon_H30e zenon_H206 zenon_H19d zenon_H360 zenon_H2f8 zenon_H1fd zenon_H301 zenon_H316 zenon_H186 zenon_H204 zenon_H179 zenon_H180 zenon_H21a zenon_H23b zenon_H358 zenon_H4b1 zenon_H270 zenon_H461 zenon_H29e zenon_H18a zenon_H236 zenon_H2e7 zenon_H2ad zenon_H1cc zenon_H2b9 zenon_H313 zenon_H155 zenon_H172 zenon_H1a0 zenon_H3f1 zenon_H11f zenon_Hec zenon_H6e zenon_H3b4 zenon_H395 zenon_H47a zenon_H3b1 zenon_H39d zenon_H3af zenon_H481 zenon_H3a8 zenon_H47e zenon_H100 zenon_H121 zenon_H37d zenon_H101 zenon_H47c zenon_Hfc zenon_H55 zenon_H3b7 zenon_H116 zenon_H45 zenon_H399 zenon_H60 zenon_H28c zenon_H93 zenon_H98 zenon_H3b zenon_H33 zenon_H9f.
% 54.87/55.04 apply (zenon_or_s _ _ zenon_Ha5); [ zenon_intro zenon_Ha8 | zenon_intro zenon_Ha7 ].
% 54.87/55.04 apply (zenon_or_s _ _ zenon_H28c); [ zenon_intro zenon_Hb9 | zenon_intro zenon_H28e ].
% 54.87/55.04 apply (zenon_or_s _ _ zenon_H3fd); [ zenon_intro zenon_H285 | zenon_intro zenon_H3ff ].
% 54.87/55.04 apply (zenon_L572_); trivial.
% 54.87/55.04 apply (zenon_or_s _ _ zenon_H3ff); [ zenon_intro zenon_H401 | zenon_intro zenon_H400 ].
% 54.87/55.04 apply (zenon_L650_); trivial.
% 54.87/55.04 apply (zenon_or_s _ _ zenon_H400); [ zenon_intro zenon_Hd3 | zenon_intro zenon_H5f ].
% 54.87/55.04 apply (zenon_L624_); trivial.
% 54.87/55.04 apply (zenon_L15_); trivial.
% 54.87/55.04 apply (zenon_or_s _ _ zenon_H28e); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H28f ].
% 54.87/55.04 exact (zenon_H28d zenon_Hc3).
% 54.87/55.04 apply (zenon_or_s _ _ zenon_H28f); [ zenon_intro zenon_H27f | zenon_intro zenon_H283 ].
% 54.87/55.04 apply (zenon_L134_); trivial.
% 54.87/55.04 apply (zenon_L138_); trivial.
% 54.87/55.04 apply (zenon_or_s _ _ zenon_Ha7); [ zenon_intro zenon_H92 | zenon_intro zenon_Ha9 ].
% 54.87/55.04 apply (zenon_L25_); trivial.
% 54.87/55.04 apply (zenon_or_s _ _ zenon_Ha9); [ zenon_intro zenon_H97 | zenon_intro zenon_H9e ].
% 54.87/55.04 apply (zenon_L26_); trivial.
% 54.87/55.04 apply (zenon_L27_); trivial.
% 54.87/55.04 (* end of lemma zenon_L651_ *)
% 54.87/55.04 assert (zenon_L652_ : ((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13)))) -> (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> (((op2 (e20) (e21)) = (e20))\/(((op2 (e20) (e21)) = (e21))\/(((op2 (e20) (e21)) = (e22))\/((op2 (e20) (e21)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> (~((e21) = (e22))) -> (~((op2 (e21) (e21)) = (e21))) -> (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> (~((op2 (e22) (e23)) = (e22))) -> (~((op2 (e22) (e22)) = (e22))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> ((e20) = (op2 (e21) (e21))) -> ((e23) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((e22) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> (((op2 (e21) (e20)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/((op2 (e21) (e23)) = (e23))))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> ((op1 (e11) (op1 (e11) (e11))) = (e11)) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> ((op1 (e13) (e11)) = (e13)) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e12))\/((op1 (e11) (e10)) = (e13))))) -> (~((op1 (e11) (e11)) = (e11))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> ((e12) = (op1 (op1 (op1 (e11) (e11)) (op1 (e11) (e11))) (op1 (e11) (e11)))) -> ((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) -> ((e10) = (op1 (e11) (e11))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e11)) = (e12))\/((op1 (e10) (e11)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e12) (e12)) = (e12))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> ((op1 (e11) (op1 (e11) (e13))) = (e13)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((e12) = (e13))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((h2 (op1 (e11) (e13))) = (op2 (h2 (e11)) (h2 (e13))))) -> ((h2 (e13)) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((h2 (e11)) = (e21)) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> ((op1 (e11) (op1 (e11) (e12))) = (e12)) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (~((op1 (e12) (e12)) = (e11))) -> ((op1 (e10) (e12)) = (e10)) -> ((op1 (e12) (e10)) = (e10)) -> ((op1 (e11) (op1 (e11) (e10))) = (e10)) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e21)) = (e22))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op2 (e21) (e22)) = (op2 (e21) (e23)))) -> ((op2 (e21) (op2 (e21) (e23))) = (e23)) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> ((op2 (e21) (op2 (e21) (e22))) = (e22)) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (((op2 (e22) (e22)) = (e20))\/(((op2 (e22) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e22)) = (e23))))) -> (~((op2 (e22) (e22)) = (e21))) -> ((op2 (e22) (e20)) = (e20)) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> (~((e22) = (e23))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e20)) = (op2 (e23) (e20)))) -> (((op2 (e22) (e20)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e22) (e23)) = (e23))))) -> (((op2 (e20) (e21)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e23) (e21)) = (e22))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e22)))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e20) (e21)) = (e23))\/(((op2 (e20) (e22)) = (e23))\/((op2 (e20) (e23)) = (e23))))) -> False).
% 54.87/55.04 do 0 intro. intros zenon_H22c zenon_H28c zenon_H289 zenon_H93 zenon_H8d zenon_H27e zenon_H28d zenon_Hf1 zenon_H281 zenon_Hd7 zenon_H286 zenon_H33 zenon_H3b zenon_H3f zenon_Hb0 zenon_H399 zenon_H313 zenon_H1b1 zenon_H2b1 zenon_H2a6 zenon_H2a5 zenon_H2a3 zenon_H1d8 zenon_H1be zenon_H1e zenon_H1a0 zenon_H437 zenon_H9f zenon_H474 zenon_H1c3 zenon_H14b zenon_H1a9 zenon_H15f zenon_H473 zenon_H154 zenon_H155 zenon_H15 zenon_H13 zenon_H15a zenon_H2e7 zenon_H25 zenon_H30e zenon_H2b9 zenon_H206 zenon_H17 zenon_H186 zenon_H180 zenon_H179 zenon_H204 zenon_H1d1 zenon_H23b zenon_H301 zenon_H2f8 zenon_H29e zenon_H172 zenon_H1fd zenon_H18a zenon_H1cc zenon_H360 zenon_H316 zenon_H19d zenon_H32b zenon_H236 zenon_H2ad zenon_H358 zenon_H4b1 zenon_H461 zenon_H270 zenon_H2c2 zenon_H21a zenon_H209 zenon_H375 zenon_H1ed zenon_H32e zenon_H1da zenon_H23f zenon_H18f zenon_H293 zenon_H292 zenon_H1de zenon_H1fa zenon_H116 zenon_H3b1 zenon_H3af zenon_H60 zenon_H282 zenon_H39d zenon_H3b4 zenon_H45 zenon_H47e zenon_H6e zenon_H47a zenon_H395 zenon_H47c zenon_H481 zenon_H3a8 zenon_H100 zenon_H101 zenon_H121 zenon_H37d zenon_H11f zenon_Hec zenon_H3b7 zenon_Hfc zenon_H55 zenon_H3f1 zenon_H3fd zenon_H98 zenon_Ha5.
% 54.87/55.04 apply (zenon_or_s _ _ zenon_H22c); [ zenon_intro zenon_H27d | zenon_intro zenon_H29d ].
% 54.87/55.04 apply (zenon_L651_); trivial.
% 54.87/55.04 apply (zenon_L144_); trivial.
% 54.87/55.04 (* end of lemma zenon_L652_ *)
% 54.87/55.04 assert (zenon_L653_ : (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> ((e23) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((h2 (e13)) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((h2 (e11)) = (e21)) -> ((op2 (e21) (e23)) = (e23)) -> (~((h2 (op1 (e11) (e13))) = (op2 (h2 (e11)) (h2 (e13))))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e12) (e13)) = (e12))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> ((op1 (e11) (op1 (e11) (e12))) = (e12)) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> ((e12) = (op1 (op1 (op1 (e11) (e11)) (op1 (e11) (e11))) (op1 (e11) (e11)))) -> ((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((e12) = (e13))) -> ((op1 (e12) (e11)) = (e12)) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((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)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> ((op1 (e11) (op1 (e11) (e10))) = (e10)) -> ((op1 (e12) (e10)) = (e10)) -> ((op1 (e11) (e10)) = (e11)) -> ((op1 (e10) (e12)) = (e10)) -> ((e10) = (op1 (e11) (e11))) -> (~((op1 (e12) (e12)) = (e11))) -> (~((op1 (e12) (e12)) = (e12))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> ((op1 (e11) (op1 (e11) (e13))) = (e13)) -> False).
% 54.87/55.05 do 0 intro. intros zenon_H1fa zenon_H154 zenon_H358 zenon_H3b zenon_H461 zenon_H270 zenon_He9 zenon_H4b1 zenon_H186 zenon_H27d zenon_H1ed zenon_H375 zenon_H30e zenon_H32e zenon_H172 zenon_H179 zenon_H155 zenon_H15 zenon_H180 zenon_H2e7 zenon_H2ad zenon_H236 zenon_H202 zenon_H17 zenon_H23b zenon_H21a zenon_H204 zenon_H316 zenon_H301 zenon_H18a zenon_H1fd zenon_H2f8 zenon_H360 zenon_H19d zenon_H206 zenon_H25 zenon_H32b zenon_H2b9 zenon_H15a zenon_H2c2 zenon_H1da zenon_H1de zenon_H292 zenon_H293 zenon_H163 zenon_H18f zenon_H13 zenon_H23f zenon_H1d1 zenon_H1cc zenon_H29e.
% 54.87/55.05 apply (zenon_or_s _ _ zenon_H1fa); [ zenon_intro zenon_H156 | zenon_intro zenon_H1fb ].
% 54.87/55.05 apply (zenon_L63_); trivial.
% 54.87/55.05 apply (zenon_or_s _ _ zenon_H1fb); [ zenon_intro zenon_H1b8 | zenon_intro zenon_H1fc ].
% 54.87/55.05 apply (zenon_L614_); trivial.
% 54.87/55.05 apply (zenon_or_s _ _ zenon_H1fc); [ zenon_intro zenon_H1c6 | zenon_intro zenon_H1ec ].
% 54.87/55.05 apply (zenon_L616_); trivial.
% 54.87/55.05 apply (zenon_L500_); trivial.
% 54.87/55.05 (* end of lemma zenon_L653_ *)
% 54.87/55.05 assert (zenon_L654_ : (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> ((e23) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((h2 (e13)) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((h2 (e11)) = (e21)) -> ((op2 (e21) (e23)) = (e23)) -> (~((h2 (op1 (e11) (e13))) = (op2 (h2 (e11)) (h2 (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> ((e12) = (op1 (op1 (op1 (e11) (e11)) (op1 (e11) (e11))) (op1 (e11) (e11)))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e12) (e12)) = (e12))) -> (~((op1 (e12) (e13)) = (e12))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> ((op1 (e11) (op1 (e11) (e12))) = (e12)) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e12))\/((op1 (e11) (e10)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> ((op1 (e11) (op1 (e11) (e11))) = (e11)) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> ((op1 (e11) (op1 (e11) (e10))) = (e10)) -> (~((op1 (e12) (e12)) = (e11))) -> ((op1 (e10) (e10)) = (e13)) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e11)) = (e12))\/((op1 (e10) (e11)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e11) (e11)) = (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 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> ((e10) = (op1 (e11) (e11))) -> ((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((e12) = (e13))) -> ((op1 (e12) (e11)) = (e12)) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> ((op1 (e11) (op1 (e11) (e13))) = (e13)) -> ((op1 (e11) (e13)) = (e11)) -> False).
% 54.87/55.05 do 0 intro. intros zenon_H1fa zenon_H3b zenon_H461 zenon_H270 zenon_He9 zenon_H4b1 zenon_H358 zenon_H25 zenon_H32b zenon_H23b zenon_H155 zenon_H21a zenon_H1d1 zenon_H27d zenon_H30e zenon_H186 zenon_H1ed zenon_H375 zenon_H32e zenon_H172 zenon_H179 zenon_H180 zenon_H1be zenon_H1b1 zenon_H15f zenon_H14b zenon_H2a5 zenon_H2a6 zenon_H1da zenon_H2a3 zenon_H292 zenon_H23f zenon_H1a3 zenon_H1d8 zenon_H2b1 zenon_H154 zenon_H15a zenon_H206 zenon_H19d zenon_H360 zenon_H2f8 zenon_H1fd zenon_H301 zenon_H316 zenon_H204 zenon_H2c2 zenon_H313 zenon_H17 zenon_H2b9 zenon_H13 zenon_H15 zenon_H1cc zenon_H2ad zenon_H2e7 zenon_H236 zenon_H202 zenon_H18a zenon_H29e zenon_H214.
% 54.87/55.05 apply (zenon_or_s _ _ zenon_H1fa); [ zenon_intro zenon_H156 | zenon_intro zenon_H1fb ].
% 54.87/55.05 apply (zenon_L63_); trivial.
% 54.87/55.05 apply (zenon_or_s _ _ zenon_H1fb); [ zenon_intro zenon_H1b8 | zenon_intro zenon_H1fc ].
% 54.87/55.05 apply (zenon_L614_); trivial.
% 54.87/55.05 apply (zenon_or_s _ _ zenon_H1fc); [ zenon_intro zenon_H1c6 | zenon_intro zenon_H1ec ].
% 54.87/55.05 apply (zenon_L506_); trivial.
% 54.87/55.05 apply (zenon_L508_); trivial.
% 54.87/55.05 (* end of lemma zenon_L654_ *)
% 54.87/55.05 assert (zenon_L655_ : (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> ((op1 (e11) (op1 (e11) (e13))) = (e13)) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> ((op1 (e12) (e11)) = (e12)) -> (~((e12) = (e13))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((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)) = (op1 (e11) (e10)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e12)) = (e11))) -> ((op1 (e11) (op1 (e11) (e10))) = (e10)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> ((op1 (e11) (op1 (e11) (e11))) = (e11)) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e12))\/((op1 (e11) (e10)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> ((op1 (e11) (op1 (e11) (e12))) = (e12)) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e12) (e13)) = (e12))) -> (~((op1 (e12) (e12)) = (e12))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> ((e12) = (op1 (op1 (op1 (e11) (e11)) (op1 (e11) (e11))) (op1 (e11) (e11)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((h2 (op1 (e11) (e13))) = (op2 (h2 (e11)) (h2 (e13))))) -> ((op2 (e21) (e23)) = (e23)) -> ((h2 (e11)) = (e21)) -> ((h2 (e13)) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((e23) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e11)) = (e11))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> ((op1 (e12) (e10)) = (e10)) -> ((op1 (e10) (e12)) = (e10)) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> ((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) -> ((e10) = (op1 (e11) (e11))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> False).
% 54.87/55.05 do 0 intro. intros zenon_H1a0 zenon_H29e zenon_H18a zenon_H202 zenon_H236 zenon_H2e7 zenon_H2ad zenon_H1cc zenon_H2b9 zenon_H313 zenon_H2c2 zenon_H204 zenon_H316 zenon_H301 zenon_H1fd zenon_H2f8 zenon_H360 zenon_H19d zenon_H206 zenon_H15a zenon_H154 zenon_H2b1 zenon_H1d8 zenon_H23f zenon_H292 zenon_H2a3 zenon_H1da zenon_H2a6 zenon_H2a5 zenon_H14b zenon_H15f zenon_H1b1 zenon_H1be zenon_H180 zenon_H179 zenon_H172 zenon_H32e zenon_H375 zenon_H1ed zenon_H186 zenon_H30e zenon_H27d zenon_H1d1 zenon_H21a zenon_H155 zenon_H23b zenon_H32b zenon_H358 zenon_H4b1 zenon_He9 zenon_H270 zenon_H461 zenon_H3b zenon_H1fa zenon_H1a9 zenon_H473 zenon_H1de zenon_H293 zenon_H18f zenon_H474 zenon_H17 zenon_H1e zenon_H15 zenon_H13 zenon_H25.
% 54.87/55.05 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_H1a3 | zenon_intro zenon_H1a2 ].
% 54.87/55.05 apply (zenon_or_s _ _ zenon_H474); [ zenon_intro zenon_H163 | zenon_intro zenon_H475 ].
% 54.87/55.05 apply (zenon_L653_); trivial.
% 54.87/55.05 apply (zenon_or_s _ _ zenon_H475); [ zenon_intro zenon_H1a7 | zenon_intro zenon_H476 ].
% 54.87/55.05 exact (zenon_H473 zenon_H1a7).
% 54.87/55.05 apply (zenon_or_s _ _ zenon_H476); [ zenon_intro zenon_H1a8 | zenon_intro zenon_H214 ].
% 54.87/55.05 apply (zenon_L82_); trivial.
% 54.87/55.05 apply (zenon_L654_); trivial.
% 54.87/55.05 apply (zenon_or_s _ _ zenon_H1a2); [ zenon_intro zenon_H16 | zenon_intro zenon_H1a4 ].
% 54.87/55.05 apply (zenon_L2_); trivial.
% 54.87/55.05 apply (zenon_or_s _ _ zenon_H1a4); [ zenon_intro zenon_H1d | zenon_intro zenon_H24 ].
% 54.87/55.05 apply (zenon_L3_); trivial.
% 54.87/55.05 apply (zenon_L4_); trivial.
% 54.87/55.05 (* end of lemma zenon_L655_ *)
% 54.87/55.05 assert (zenon_L656_ : ((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13)))) -> (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> (((op2 (e20) (e21)) = (e20))\/(((op2 (e20) (e21)) = (e21))\/(((op2 (e20) (e21)) = (e22))\/((op2 (e20) (e21)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> (~((e21) = (e22))) -> (~((op2 (e21) (e21)) = (e21))) -> (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> (~((op2 (e22) (e23)) = (e22))) -> (~((op2 (e22) (e22)) = (e22))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> ((e20) = (op2 (e21) (e21))) -> ((e23) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((e22) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> (((op2 (e21) (e20)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/((op2 (e21) (e23)) = (e23))))) -> ((op1 (e12) (e11)) = (e12)) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (~((op2 (e22) (e20)) = (e22))) -> (((op2 (e22) (e20)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e22) (e23)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e23) (e20)))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> ((op1 (e11) (op1 (e11) (e11))) = (e11)) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e12))\/((op1 (e11) (e10)) = (e13))))) -> (~((op1 (e11) (e11)) = (e11))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> ((e12) = (op1 (op1 (op1 (e11) (e11)) (op1 (e11) (e11))) (op1 (e11) (e11)))) -> ((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) -> ((e10) = (op1 (e11) (e11))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e11)) = (e12))\/((op1 (e10) (e11)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e12) (e12)) = (e12))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> ((op1 (e11) (op1 (e11) (e13))) = (e13)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((e12) = (e13))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((h2 (op1 (e11) (e13))) = (op2 (h2 (e11)) (h2 (e13))))) -> ((h2 (e13)) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((h2 (e11)) = (e21)) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> ((op1 (e11) (op1 (e11) (e12))) = (e12)) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (~((op1 (e12) (e12)) = (e11))) -> ((op1 (e10) (e12)) = (e10)) -> ((op1 (e12) (e10)) = (e10)) -> ((op1 (e11) (op1 (e11) (e10))) = (e10)) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e21)) = (e22))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((e22) = (e23))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op2 (e21) (e22)) = (op2 (e21) (e23)))) -> ((op2 (e21) (op2 (e21) (e23))) = (e23)) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> ((op2 (e21) (op2 (e21) (e22))) = (e22)) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (((op2 (e22) (e22)) = (e20))\/(((op2 (e22) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e22)) = (e23))))) -> (~((op2 (e22) (e22)) = (e21))) -> ((op2 (e22) (e20)) = (e20)) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> (((op2 (e20) (e21)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e23) (e21)) = (e22))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e22)))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e20) (e21)) = (e23))\/(((op2 (e20) (e22)) = (e23))\/((op2 (e20) (e23)) = (e23))))) -> False).
% 54.87/55.05 do 0 intro. intros zenon_H22c zenon_H28c zenon_H289 zenon_H93 zenon_H8d zenon_H27e zenon_H28d zenon_Hf1 zenon_H281 zenon_Hd7 zenon_H286 zenon_H33 zenon_H3b zenon_H3f zenon_Hb0 zenon_H399 zenon_H202 zenon_H437 zenon_Hb5 zenon_H3f1 zenon_H55 zenon_H3b4 zenon_H3af zenon_H116 zenon_H474 zenon_H313 zenon_H1b1 zenon_H2b1 zenon_H2a6 zenon_H2a5 zenon_H2a3 zenon_H1d8 zenon_H1be zenon_H14b zenon_H1a9 zenon_H15f zenon_H473 zenon_H154 zenon_H155 zenon_H15 zenon_H13 zenon_H15a zenon_H2e7 zenon_H25 zenon_H30e zenon_H2b9 zenon_H206 zenon_H17 zenon_H186 zenon_H180 zenon_H179 zenon_H204 zenon_H1d1 zenon_H23b zenon_H301 zenon_H2f8 zenon_H29e zenon_H172 zenon_H1fd zenon_H18a zenon_H1cc zenon_H360 zenon_H316 zenon_H19d zenon_H32b zenon_H236 zenon_H2ad zenon_H358 zenon_H4b1 zenon_H461 zenon_H270 zenon_H2c2 zenon_H21a zenon_H209 zenon_H375 zenon_H1ed zenon_H32e zenon_H1da zenon_H23f zenon_H18f zenon_H293 zenon_H292 zenon_H1de zenon_H1fa zenon_H1e zenon_H1a0 zenon_H9f zenon_Hfc zenon_H3b1 zenon_H60 zenon_H282 zenon_H39d zenon_H3b7 zenon_Hec zenon_H11f zenon_H45 zenon_H47e zenon_H6e zenon_H47a zenon_H395 zenon_H47c zenon_H481 zenon_H3a8 zenon_H100 zenon_H101 zenon_H121 zenon_H37d zenon_H3fd zenon_H98 zenon_Ha5.
% 54.87/55.05 apply (zenon_or_s _ _ zenon_H22c); [ zenon_intro zenon_H27d | zenon_intro zenon_H29d ].
% 54.87/55.05 apply (zenon_or_s _ _ zenon_Ha5); [ zenon_intro zenon_Ha8 | zenon_intro zenon_Ha7 ].
% 54.87/55.05 apply (zenon_or_s _ _ zenon_H28c); [ zenon_intro zenon_Hb9 | zenon_intro zenon_H28e ].
% 54.87/55.05 apply (zenon_or_s _ _ zenon_H3fd); [ zenon_intro zenon_H285 | zenon_intro zenon_H3ff ].
% 54.87/55.05 apply (zenon_L572_); trivial.
% 54.87/55.05 apply (zenon_or_s _ _ zenon_H3ff); [ zenon_intro zenon_H401 | zenon_intro zenon_H400 ].
% 54.87/55.05 apply (zenon_or_s _ _ zenon_H399); [ zenon_intro zenon_H44 | zenon_intro zenon_H39a ].
% 54.87/55.05 apply (zenon_L10_); trivial.
% 54.87/55.05 apply (zenon_or_s _ _ zenon_H39a); [ zenon_intro zenon_H388 | zenon_intro zenon_H39b ].
% 54.87/55.05 apply (zenon_L623_); trivial.
% 54.87/55.05 apply (zenon_or_s _ _ zenon_H39b); [ zenon_intro zenon_H38e | zenon_intro zenon_He9 ].
% 54.87/55.05 apply (zenon_L449_); trivial.
% 54.87/55.05 apply (zenon_L655_); trivial.
% 54.87/55.05 apply (zenon_or_s _ _ zenon_H400); [ zenon_intro zenon_Hd3 | zenon_intro zenon_H5f ].
% 54.87/55.05 apply (zenon_L624_); trivial.
% 54.87/55.05 apply (zenon_L15_); trivial.
% 54.87/55.05 apply (zenon_or_s _ _ zenon_H28e); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H28f ].
% 54.87/55.05 exact (zenon_H28d zenon_Hc3).
% 54.87/55.05 apply (zenon_or_s _ _ zenon_H28f); [ zenon_intro zenon_H27f | zenon_intro zenon_H283 ].
% 54.87/55.05 apply (zenon_L134_); trivial.
% 54.87/55.05 apply (zenon_L138_); trivial.
% 54.87/55.05 apply (zenon_or_s _ _ zenon_Ha7); [ zenon_intro zenon_H92 | zenon_intro zenon_Ha9 ].
% 54.87/55.05 apply (zenon_L25_); trivial.
% 54.87/55.05 apply (zenon_or_s _ _ zenon_Ha9); [ zenon_intro zenon_H97 | zenon_intro zenon_H9e ].
% 54.87/55.05 apply (zenon_L26_); trivial.
% 54.87/55.05 apply (zenon_L27_); trivial.
% 54.87/55.05 apply (zenon_L144_); trivial.
% 54.87/55.05 (* end of lemma zenon_L656_ *)
% 54.87/55.05 assert (zenon_L657_ : (((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) (e11)) = (op1 (e12) (e11)))) -> ((e12) = (op1 (op1 (op1 (e11) (e11)) (op1 (e11) (e11))) (op1 (e11) (e11)))) -> ((op1 (e10) (e11)) = (e12)) -> ((op1 (e12) (e11)) = (e12)) -> ((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) -> ((e10) = (op1 (e11) (e11))) -> False).
% 54.87/55.05 do 0 intro. intros zenon_H4c3 zenon_H4c4 zenon_H154 zenon_H21a zenon_H204 zenon_H155 zenon_H1dc zenon_H202 zenon_H15 zenon_H13.
% 54.87/55.05 apply (zenon_or_s _ _ zenon_H4c3); [ zenon_intro zenon_H4c6 | zenon_intro zenon_H4c8 ].
% 54.87/55.05 exact (zenon_H4c4 zenon_H4c6).
% 54.87/55.05 apply (zenon_or_s _ _ zenon_H4c8); [ zenon_intro zenon_H156 | zenon_intro zenon_H4c9 ].
% 54.87/55.05 apply (zenon_L63_); trivial.
% 54.87/55.05 apply (zenon_or_s _ _ zenon_H4c9); [ zenon_intro zenon_H21b | zenon_intro zenon_H16b ].
% 54.87/55.05 apply (zenon_L109_); trivial.
% 54.87/55.05 apply (zenon_L102_); trivial.
% 54.87/55.05 (* end of lemma zenon_L657_ *)
% 54.87/55.05 assert (zenon_L658_ : (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e10) (e10)) = (e12))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e10)) = (e12))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e13) (e10)) = (e12))))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e13)) = (e10))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> ((e10) = (op1 (e11) (e11))) -> ((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> ((e12) = (op1 (op1 (op1 (e11) (e11)) (op1 (e11) (e11))) (op1 (e11) (e11)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> ((op1 (e10) (e11)) = (e11)) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e11) (op1 (e11) (e13))) = (e13)) -> ((op1 (e12) (e11)) = (e12)) -> (~((e12) = (e13))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> ((op1 (e11) (op1 (e11) (e12))) = (e12)) -> (~((h2 (op1 (e11) (e13))) = (op2 (h2 (e11)) (h2 (e13))))) -> ((op2 (e21) (e23)) = (e23)) -> ((h2 (e11)) = (e21)) -> ((h2 (e13)) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((e23) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> False).
% 54.87/55.05 do 0 intro. intros zenon_H4c2 zenon_H204 zenon_H21a zenon_H4c4 zenon_H4c3 zenon_H2c9 zenon_H1e zenon_H1f4 zenon_H485 zenon_H25f zenon_H328 zenon_H186 zenon_H358 zenon_H179 zenon_H180 zenon_H154 zenon_H1fa zenon_H2c2 zenon_H15a zenon_H2b9 zenon_H13 zenon_H15 zenon_H32b zenon_H25 zenon_H316 zenon_H301 zenon_H18a zenon_H155 zenon_H172 zenon_H1fd zenon_H1fe zenon_H2f8 zenon_H1cc zenon_H360 zenon_H29e zenon_H202 zenon_H236 zenon_H2ad zenon_H2e7 zenon_H30e zenon_H375 zenon_H4b1 zenon_He9 zenon_H270 zenon_H461 zenon_H3b.
% 54.87/55.05 apply (zenon_or_s _ _ zenon_H4c2); [ zenon_intro zenon_H4c6 | zenon_intro zenon_H4c5 ].
% 54.87/55.05 exact (zenon_H4c4 zenon_H4c6).
% 54.87/55.05 apply (zenon_or_s _ _ zenon_H4c5); [ zenon_intro zenon_H1dc | zenon_intro zenon_H4c7 ].
% 54.87/55.05 apply (zenon_L657_); trivial.
% 54.87/55.05 apply (zenon_or_s _ _ zenon_H4c7); [ zenon_intro zenon_H4bf | zenon_intro zenon_H31b ].
% 54.87/55.05 apply (zenon_or_s _ _ zenon_H1fa); [ zenon_intro zenon_H156 | zenon_intro zenon_H1fb ].
% 54.87/55.05 apply (zenon_L63_); trivial.
% 54.87/55.05 apply (zenon_or_s _ _ zenon_H1fb); [ zenon_intro zenon_H1b8 | zenon_intro zenon_H1fc ].
% 54.87/55.05 apply (zenon_or_s _ _ zenon_H2c2); [ zenon_intro zenon_H159 | zenon_intro zenon_H2c3 ].
% 54.87/55.05 apply (zenon_L64_); trivial.
% 54.87/55.05 apply (zenon_or_s _ _ zenon_H2c3); [ zenon_intro zenon_H2b7 | zenon_intro zenon_H2c4 ].
% 54.87/55.05 apply (zenon_L641_); trivial.
% 54.87/55.05 apply (zenon_or_s _ _ zenon_H2c4); [ zenon_intro zenon_H1f3 | zenon_intro zenon_H234 ].
% 54.87/55.05 apply (zenon_L289_); trivial.
% 54.87/55.05 apply (zenon_L613_); trivial.
% 54.87/55.05 apply (zenon_or_s _ _ zenon_H1fc); [ zenon_intro zenon_H1c6 | zenon_intro zenon_H1ec ].
% 54.87/55.05 apply (zenon_L640_); trivial.
% 54.87/55.05 apply (zenon_L638_); trivial.
% 54.87/55.05 apply (zenon_L642_); trivial.
% 54.87/55.05 (* end of lemma zenon_L658_ *)
% 54.87/55.05 assert (zenon_L659_ : (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> ((h2 (e13)) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((h2 (e11)) = (e21)) -> (~((h2 (op1 (e11) (e13))) = (op2 (h2 (e11)) (h2 (e13))))) -> ((op1 (e11) (op1 (e11) (e12))) = (e12)) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((e12) = (e13))) -> ((op1 (e12) (e11)) = (e12)) -> ((op1 (e11) (op1 (e11) (e13))) = (e13)) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> ((op1 (e10) (e11)) = (e11)) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> ((e12) = (op1 (op1 (op1 (e11) (e11)) (op1 (e11) (e11))) (op1 (e11) (e11)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> ((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) -> ((e10) = (op1 (e11) (e11))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (e10))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e10)) = (e12))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e13) (e10)) = (e12))))) -> (~((op1 (e10) (e10)) = (e12))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> ((op2 (e22) (e22)) = (e23)) -> ((op2 (e20) (e20)) = (e23)) -> (((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e21)) = (e22))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> ((op2 (e20) (e21)) = (e21)) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> ((e23) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((e20) = (op2 (e21) (e21))) -> ((e22) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> False).
% 54.87/55.05 do 0 intro. intros zenon_H3b4 zenon_H9f zenon_H461 zenon_H270 zenon_H4b1 zenon_H375 zenon_H30e zenon_H2e7 zenon_H2ad zenon_H236 zenon_H202 zenon_H29e zenon_H360 zenon_H1cc zenon_H2f8 zenon_H1fe zenon_H1fd zenon_H172 zenon_H155 zenon_H18a zenon_H301 zenon_H316 zenon_H25 zenon_H32b zenon_H15 zenon_H13 zenon_H2b9 zenon_H15a zenon_H2c2 zenon_H1fa zenon_H154 zenon_H180 zenon_H179 zenon_H358 zenon_H186 zenon_H328 zenon_H25f zenon_H485 zenon_H1f4 zenon_H1e zenon_H2c9 zenon_H4c3 zenon_H4c4 zenon_H21a zenon_H204 zenon_H4c2 zenon_H47c zenon_Hf6 zenon_Ha8 zenon_H3b1 zenon_H39d zenon_Hb9 zenon_H282 zenon_H60 zenon_H3b zenon_H33 zenon_H3f zenon_H3af.
% 54.87/55.05 apply (zenon_or_s _ _ zenon_H3b4); [ zenon_intro zenon_H9e | zenon_intro zenon_H3b5 ].
% 54.87/55.05 apply (zenon_L27_); trivial.
% 54.87/55.05 apply (zenon_or_s _ _ zenon_H3b5); [ zenon_intro zenon_He9 | zenon_intro zenon_H3b6 ].
% 54.87/55.05 apply (zenon_L658_); trivial.
% 54.87/55.05 apply (zenon_or_s _ _ zenon_H3b6); [ zenon_intro zenon_Heb | zenon_intro zenon_H106 ].
% 54.87/55.05 apply (zenon_L513_); trivial.
% 54.87/55.05 apply (zenon_L349_); trivial.
% 54.87/55.05 (* end of lemma zenon_L659_ *)
% 54.87/55.05 assert (zenon_L660_ : ((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12)))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e20) (e21)) = (e23))\/(((op2 (e20) (e22)) = (e23))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e22)))) -> (((op2 (e22) (e22)) = (e20))\/(((op2 (e22) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e22)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> ((e23) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((e20) = (op2 (e21) (e21))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((e12) = (e13))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> ((op1 (e11) (op1 (e11) (e13))) = (e13)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> ((op1 (e10) (e11)) = (e11)) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> ((h2 (e11)) = (e21)) -> ((h2 (e13)) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> (~((h2 (op1 (e11) (e13))) = (op2 (h2 (e11)) (h2 (e13))))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> ((op1 (e11) (op1 (e11) (e12))) = (e12)) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (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 (op1 (op1 (e11) (e11)) (op1 (e11) (e11))) (op1 (e11) (e11)))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> ((op1 (e12) (e11)) = (e12)) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e10)) = (e12))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e13) (e10)) = (e12))))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e21)) = (e22))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> ((e22) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e22) (e22)) = (e22))) -> (~((op2 (e22) (e22)) = (e21))) -> ((op2 (e22) (e20)) = (e20)) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> (~((op2 (e21) (e21)) = (e21))) -> (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> (~((op2 (e22) (e23)) = (e22))) -> (~((e21) = (e22))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> (((op2 (e20) (e21)) = (e20))\/(((op2 (e20) (e21)) = (e21))\/(((op2 (e20) (e21)) = (e22))\/((op2 (e20) (e21)) = (e23))))) -> (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> ((e10) = (op1 (e11) (e11))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (~((op1 (e10) (e10)) = (e10))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> ((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> ((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))) -> False).
% 54.87/55.05 do 0 intro. intros zenon_H25e zenon_Ha5 zenon_H98 zenon_H100 zenon_H9f zenon_H3b zenon_H33 zenon_H4c2 zenon_H2c2 zenon_H358 zenon_H2ad zenon_H236 zenon_H32b zenon_H301 zenon_H2f8 zenon_H29e zenon_H172 zenon_H1fe zenon_H1fd zenon_H18a zenon_H1cc zenon_H360 zenon_H316 zenon_H2b9 zenon_H270 zenon_H461 zenon_H4b1 zenon_H2e7 zenon_H15a zenon_H186 zenon_H180 zenon_H179 zenon_H328 zenon_H30e zenon_H375 zenon_H1f4 zenon_H2c9 zenon_H485 zenon_H1fa zenon_H154 zenon_H155 zenon_H21a zenon_H204 zenon_H202 zenon_H4c3 zenon_H47c zenon_H3b1 zenon_H3af zenon_H3f zenon_H60 zenon_H282 zenon_H39d zenon_H3b4 zenon_Hd7 zenon_H101 zenon_H121 zenon_H37d zenon_H28d zenon_Hf1 zenon_H281 zenon_H27e zenon_Hb0 zenon_H8d zenon_H286 zenon_H93 zenon_H289 zenon_H28c zenon_H246 zenon_H13 zenon_H19d zenon_H146 zenon_H1a0 zenon_H25 zenon_H1e zenon_H15 zenon_H17 zenon_H25d.
% 54.87/55.05 apply (zenon_or_s _ _ zenon_H25e); [ zenon_intro zenon_H458 | zenon_intro zenon_H4c4 ].
% 54.87/55.05 apply (zenon_L629_); trivial.
% 54.87/55.05 apply (zenon_or_s _ _ zenon_H25d); [ zenon_intro zenon_H25f | zenon_intro zenon_H1a1 ].
% 54.87/55.05 apply (zenon_or_s _ _ zenon_Ha5); [ zenon_intro zenon_Ha8 | zenon_intro zenon_Ha7 ].
% 54.87/55.05 apply (zenon_or_s _ _ zenon_H28c); [ zenon_intro zenon_Hb9 | zenon_intro zenon_H28e ].
% 54.87/55.05 apply (zenon_or_s _ _ zenon_H100); [ zenon_intro zenon_H88 | zenon_intro zenon_H102 ].
% 54.87/55.05 apply (zenon_L309_); trivial.
% 54.87/55.05 apply (zenon_or_s _ _ zenon_H102); [ zenon_intro zenon_H104 | zenon_intro zenon_H103 ].
% 54.87/55.05 exact (zenon_H101 zenon_H104).
% 54.87/55.05 apply (zenon_or_s _ _ zenon_H103); [ zenon_intro zenon_Hd6 | zenon_intro zenon_Hf6 ].
% 54.87/55.05 exact (zenon_Hd7 zenon_Hd6).
% 54.87/55.05 apply (zenon_L659_); trivial.
% 54.87/55.05 apply (zenon_or_s _ _ zenon_H28e); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H28f ].
% 54.87/55.05 exact (zenon_H28d zenon_Hc3).
% 54.87/55.05 apply (zenon_or_s _ _ zenon_H28f); [ zenon_intro zenon_H27f | zenon_intro zenon_H283 ].
% 54.87/55.05 apply (zenon_L134_); trivial.
% 54.87/55.05 apply (zenon_L138_); trivial.
% 54.87/55.05 apply (zenon_or_s _ _ zenon_Ha7); [ zenon_intro zenon_H92 | zenon_intro zenon_Ha9 ].
% 54.87/55.05 apply (zenon_L25_); trivial.
% 54.87/55.05 apply (zenon_or_s _ _ zenon_Ha9); [ zenon_intro zenon_H97 | zenon_intro zenon_H9e ].
% 54.87/55.05 apply (zenon_L26_); trivial.
% 54.87/55.05 apply (zenon_L27_); trivial.
% 54.87/55.05 apply (zenon_L79_); trivial.
% 54.87/55.05 (* end of lemma zenon_L660_ *)
% 54.87/55.05 assert (zenon_L661_ : (((op1 (e11) (e10)) = (e11))/\(((op1 (e10) (e11)) = (e11))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11))))/\(((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12))))/\((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13))))))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> ((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> ((e10) = (op1 (e11) (e11))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> (((op2 (e20) (e21)) = (e20))\/(((op2 (e20) (e21)) = (e21))\/(((op2 (e20) (e21)) = (e22))\/((op2 (e20) (e21)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> (~((e21) = (e22))) -> (~((op2 (e22) (e23)) = (e22))) -> (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> (~((op2 (e21) (e21)) = (e21))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> ((op2 (e22) (e20)) = (e20)) -> (~((op2 (e22) (e22)) = (e21))) -> (~((op2 (e22) (e22)) = (e22))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> ((e22) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e21)) = (e22))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (((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)))) -> ((e12) = (op1 (op1 (op1 (e11) (e11)) (op1 (e11) (e11))) (op1 (e11) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e11) (op1 (e11) (e12))) = (e12)) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((h2 (op1 (e11) (e13))) = (op2 (h2 (e11)) (h2 (e13))))) -> ((h2 (e13)) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((h2 (e11)) = (e21)) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> ((op1 (e11) (op1 (e11) (e13))) = (e13)) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((e12) = (e13))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> ((e20) = (op2 (e21) (e21))) -> ((e23) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (((op2 (e22) (e22)) = (e20))\/(((op2 (e22) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e22)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e22)))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e20) (e21)) = (e23))\/(((op2 (e20) (e22)) = (e23))\/((op2 (e20) (e23)) = (e23))))) -> False).
% 54.87/55.05 do 0 intro. intros zenon_H259 zenon_H17 zenon_H15 zenon_H1e zenon_H25 zenon_H1a0 zenon_H19d zenon_H13 zenon_H246 zenon_H28c zenon_H289 zenon_H93 zenon_H286 zenon_H8d zenon_Hb0 zenon_H27e zenon_H281 zenon_Hf1 zenon_H28d zenon_H37d zenon_H121 zenon_H101 zenon_Hd7 zenon_H3b4 zenon_H39d zenon_H282 zenon_H60 zenon_H3f zenon_H3af zenon_H3b1 zenon_H47c zenon_H4c3 zenon_H202 zenon_H204 zenon_H21a zenon_H155 zenon_H154 zenon_H1fa zenon_H485 zenon_H2c9 zenon_H1f4 zenon_H375 zenon_H30e zenon_H328 zenon_H179 zenon_H180 zenon_H186 zenon_H15a zenon_H2e7 zenon_H4b1 zenon_H461 zenon_H270 zenon_H2b9 zenon_H316 zenon_H360 zenon_H1cc zenon_H18a zenon_H1fd zenon_H172 zenon_H29e zenon_H2f8 zenon_H301 zenon_H32b zenon_H236 zenon_H2ad zenon_H358 zenon_H2c2 zenon_H4c2 zenon_H33 zenon_H3b zenon_H9f zenon_H100 zenon_H98 zenon_Ha5.
% 54.87/55.05 apply (zenon_and_s _ _ zenon_H259). zenon_intro zenon_H163. zenon_intro zenon_H25a.
% 54.87/55.05 apply (zenon_and_s _ _ zenon_H25a). zenon_intro zenon_H1fe. zenon_intro zenon_H149.
% 54.87/55.05 apply (zenon_and_s _ _ zenon_H149). zenon_intro zenon_H144. zenon_intro zenon_H14a.
% 54.87/55.05 apply (zenon_and_s _ _ zenon_H14a). zenon_intro zenon_H25c. zenon_intro zenon_H25b.
% 54.87/55.05 apply (zenon_and_s _ _ zenon_H25b). zenon_intro zenon_H25e. zenon_intro zenon_H25d.
% 54.87/55.05 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_H146 | zenon_intro zenon_H146 ].
% 54.87/55.05 apply (zenon_L660_); trivial.
% 54.87/55.05 apply (zenon_L660_); trivial.
% 54.87/55.05 (* end of lemma zenon_L661_ *)
% 54.87/55.05 assert (zenon_L662_ : ((~((op2 (e22) (e23)) = (e22)))\/(~((op2 (e22) (e22)) = (e23)))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e12))\/((op1 (e11) (e10)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> ((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) -> ((e12) = (op1 (op1 (op1 (e11) (e11)) (op1 (e11) (e11))) (op1 (e11) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((e10) = (e12))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e11)) = (e12))\/((op1 (e10) (e11)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (((op1 (e13) (e13)) = (e10))\/(((op1 (e13) (e13)) = (e11))\/(((op1 (e13) (e13)) = (e12))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (~((e12) = (e13))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> ((((op1 (e10) (e10)) = (e10))/\(((op1 (e10) (e10)) = (e10))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11))))/\(((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12))))/\((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))))))))\/((((op1 (e10) (e11)) = (e10))/\(((op1 (e11) (e10)) = (e10))/\(((~((op1 (e11) (e10)) = (e11)))\/(~((op1 (e11) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e11) (e12)) = (e11)))\/(~((op1 (e11) (e11)) = (e12))))/\((~((op1 (e11) (e13)) = (e11)))\/(~((op1 (e11) (e11)) = (e13)))))))))\/((((op1 (e10) (e12)) = (e10))/\(((op1 (e12) (e10)) = (e10))/\(((~((op1 (e12) (e10)) = (e12)))\/(~((op1 (e12) (e12)) = (e10))))/\(((~((op1 (e12) (e11)) = (e12)))\/(~((op1 (e12) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13)))))))))\/((((op1 (e10) (e13)) = (e10))/\(((op1 (e13) (e10)) = (e10))/\(((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e13) (e13)) = (e10))))/\(((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11))))/\(((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e13) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13)))))))))\/((((op1 (e11) (e10)) = (e11))/\(((op1 (e10) (e11)) = (e11))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11))))/\(((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12))))/\((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))))))))\/((((op1 (e11) (e11)) = (e11))/\(((op1 (e11) (e11)) = (e11))/\(((~((op1 (e11) (e10)) = (e11)))\/(~((op1 (e11) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e11) (e12)) = (e11)))\/(~((op1 (e11) (e11)) = (e12))))/\((~((op1 (e11) (e13)) = (e11)))\/(~((op1 (e11) (e11)) = (e13)))))))))\/((((op1 (e11) (e12)) = (e11))/\(((op1 (e12) (e11)) = (e11))/\(((~((op1 (e12) (e10)) = (e12)))\/(~((op1 (e12) (e12)) = (e10))))/\(((~((op1 (e12) (e11)) = (e12)))\/(~((op1 (e12) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13)))))))))\/((((op1 (e11) (e13)) = (e11))/\(((op1 (e13) (e11)) = (e11))/\(((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e13) (e13)) = (e10))))/\(((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11))))/\(((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e13) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13)))))))))\/((((op1 (e12) (e10)) = (e12))/\(((op1 (e10) (e12)) = (e12))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11))))/\(((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12))))/\((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))))))))\/((((op1 (e12) (e11)) = (e12))/\(((op1 (e11) (e12)) = (e12))/\(((~((op1 (e11) (e10)) = (e11)))\/(~((op1 (e11) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e11) (e12)) = (e11)))\/(~((op1 (e11) (e11)) = (e12))))/\((~((op1 (e11) (e13)) = (e11)))\/(~((op1 (e11) (e11)) = (e13)))))))))\/((((op1 (e12) (e12)) = (e12))/\(((op1 (e12) (e12)) = (e12))/\(((~((op1 (e12) (e10)) = (e12)))\/(~((op1 (e12) (e12)) = (e10))))/\(((~((op1 (e12) (e11)) = (e12)))\/(~((op1 (e12) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13)))))))))\/((((op1 (e12) (e13)) = (e12))/\(((op1 (e13) (e12)) = (e12))/\(((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e13) (e13)) = (e10))))/\(((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11))))/\(((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e13) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13)))))))))\/((((op1 (e13) (e10)) = (e13))/\(((op1 (e10) (e13)) = (e13))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11))))/\(((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12))))/\((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))))))))\/((((op1 (e13) (e11)) = (e13))/\(((op1 (e11) (e13)) = (e13))/\(((~((op1 (e11) (e10)) = (e11)))\/(~((op1 (e11) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e11) (e12)) = (e11)))\/(~((op1 (e11) (e11)) = (e12))))/\((~((op1 (e11) (e13)) = (e11)))\/(~((op1 (e11) (e11)) = (e13)))))))))\/((((op1 (e13) (e12)) = (e13))/\(((op1 (e12) (e13)) = (e13))/\(((~((op1 (e12) (e10)) = (e12)))\/(~((op1 (e12) (e12)) = (e10))))/\(((~((op1 (e12) (e11)) = (e12)))\/(~((op1 (e12) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13)))))))))\/(((op1 (e13) (e13)) = (e13))/\(((op1 (e13) (e13)) = (e13))/\(((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e13) (e13)) = (e10))))/\(((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11))))/\(((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e13) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13)))))))))))))))))))))))) -> ((e10) = (op1 (e11) (e11))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e10)) = (e12))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e13) (e10)) = (e12))))) -> (((op2 (e20) (e21)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e23) (e21)) = (e22))))) -> (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> (((op2 (e20) (e21)) = (e20))\/(((op2 (e20) (e21)) = (e21))\/(((op2 (e20) (e21)) = (e22))\/((op2 (e20) (e21)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> (~((e21) = (e22))) -> (~((op2 (e21) (e21)) = (e21))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> ((op2 (e22) (e20)) = (e20)) -> (~((op2 (e22) (e22)) = (e21))) -> (((op2 (e22) (e22)) = (e20))\/(((op2 (e22) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e22)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> ((op2 (e21) (op2 (e21) (e22))) = (e22)) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> ((op2 (e21) (op2 (e21) (e23))) = (e23)) -> (~((op2 (e21) (e22)) = (op2 (e21) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e22)))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e20) (e21)) = (e23))\/(((op2 (e20) (e22)) = (e23))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> (~((e22) = (e23))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e21)) = (e22))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> ((h2 (e11)) = (e21)) -> ((h2 (e13)) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> (~((h2 (op1 (e11) (e13))) = (op2 (h2 (e11)) (h2 (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e23) (e20)))) -> (((op2 (e22) (e20)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e22) (e23)) = (e23))))) -> (~((op2 (e22) (e20)) = (e22))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (((op2 (e21) (e20)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/((op2 (e21) (e23)) = (e23))))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> ((e22) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> ((e23) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((e20) = (op2 (e21) (e21))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (~((op2 (e22) (e22)) = (e22))) -> (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> (((op1 (e10) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e12) (e11)) = (e13))))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e12) (e13)) = (e10))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> ((((op1 (e10) (op1 (e10) (e10))) = (e10))/\(((op1 (e10) (op1 (e10) (e11))) = (e11))/\(((op1 (e10) (op1 (e10) (e12))) = (e12))/\(((op1 (e10) (op1 (e10) (e13))) = (e13))/\(((~((op1 (e10) (e10)) = (e10)))\/((op1 (e10) (e10)) = (e10)))/\(((~((op1 (e11) (e11)) = (e10)))\/((op1 (e11) (e10)) = (e11)))/\(((~((op1 (e12) (e12)) = (e10)))\/((op1 (e12) (e10)) = (e12)))/\((~((op1 (e13) (e13)) = (e10)))\/((op1 (e13) (e10)) = (e13))))))))))\/((((op1 (e11) (op1 (e11) (e10))) = (e10))/\(((op1 (e11) (op1 (e11) (e11))) = (e11))/\(((op1 (e11) (op1 (e11) (e12))) = (e12))/\(((op1 (e11) (op1 (e11) (e13))) = (e13))/\(((~((op1 (e10) (e10)) = (e11)))\/((op1 (e10) (e11)) = (e10)))/\(((~((op1 (e11) (e11)) = (e11)))\/((op1 (e11) (e11)) = (e11)))/\(((~((op1 (e12) (e12)) = (e11)))\/((op1 (e12) (e11)) = (e12)))/\((~((op1 (e13) (e13)) = (e11)))\/((op1 (e13) (e11)) = (e13))))))))))\/((((op1 (e12) (op1 (e12) (e10))) = (e10))/\(((op1 (e12) (op1 (e12) (e11))) = (e11))/\(((op1 (e12) (op1 (e12) (e12))) = (e12))/\(((op1 (e12) (op1 (e12) (e13))) = (e13))/\(((~((op1 (e10) (e10)) = (e12)))\/((op1 (e10) (e12)) = (e10)))/\(((~((op1 (e11) (e11)) = (e12)))\/((op1 (e11) (e12)) = (e11)))/\(((~((op1 (e12) (e12)) = (e12)))\/((op1 (e12) (e12)) = (e12)))/\((~((op1 (e13) (e13)) = (e12)))\/((op1 (e13) (e12)) = (e13))))))))))\/(((op1 (e13) (op1 (e13) (e10))) = (e10))/\(((op1 (e13) (op1 (e13) (e11))) = (e11))/\(((op1 (e13) (op1 (e13) (e12))) = (e12))/\(((op1 (e13) (op1 (e13) (e13))) = (e13))/\(((~((op1 (e10) (e10)) = (e13)))\/((op1 (e10) (e13)) = (e10)))/\(((~((op1 (e11) (e11)) = (e13)))\/((op1 (e11) (e13)) = (e11)))/\(((~((op1 (e12) (e12)) = (e13)))\/((op1 (e12) (e13)) = (e12)))/\((~((op1 (e13) (e13)) = (e13)))\/((op1 (e13) (e13)) = (e13))))))))))))) -> False).
% 54.87/55.05 do 0 intro. intros zenon_Hdf zenon_H15f zenon_H15a zenon_H15 zenon_H155 zenon_H154 zenon_H14b zenon_H186 zenon_H180 zenon_H179 zenon_H172 zenon_H16c zenon_H18a zenon_H18e zenon_H192 zenon_H246 zenon_H19d zenon_H1a0 zenon_H25 zenon_H1e zenon_H17 zenon_H1a9 zenon_H209 zenon_H206 zenon_H204 zenon_H1fd zenon_H1fa zenon_H1f7 zenon_H1f4 zenon_H1ed zenon_H1e8 zenon_H1da zenon_H1d8 zenon_H1cc zenon_H1de zenon_H1b1 zenon_H1be zenon_H20c zenon_H21a zenon_H236 zenon_H23b zenon_H245 zenon_H13 zenon_H2c0 zenon_H4c2 zenon_H485 zenon_H328 zenon_H2c9 zenon_H4c3 zenon_H3fd zenon_H28c zenon_H289 zenon_H93 zenon_H8d zenon_H27e zenon_H28d zenon_H37d zenon_H121 zenon_H101 zenon_H100 zenon_H3a8 zenon_H481 zenon_H47c zenon_H395 zenon_H47a zenon_H6e zenon_H47e zenon_H98 zenon_Ha5 zenon_H45 zenon_H11f zenon_Hec zenon_H3b7 zenon_H39d zenon_H282 zenon_H60 zenon_H3b1 zenon_Hfc zenon_H9f zenon_H32e zenon_H2c2 zenon_H270 zenon_H461 zenon_H4b1 zenon_H358 zenon_H2ad zenon_H32b zenon_H316 zenon_H360 zenon_H2f8 zenon_H301 zenon_H2b9 zenon_H30e zenon_H2e7 zenon_H2a3 zenon_H2a5 zenon_H2b1 zenon_H313 zenon_H474 zenon_H116 zenon_H3af zenon_H3b4 zenon_H55 zenon_H3f1 zenon_Hb5 zenon_H437 zenon_H399 zenon_Hb0 zenon_H3f zenon_H3b zenon_H33 zenon_H286 zenon_Hd7 zenon_Hf1 zenon_H2fd zenon_H2fb zenon_H2f6 zenon_H325 zenon_H322 zenon_H321 zenon_H30b zenon_H2ea zenon_H2e2 zenon_H2e6 zenon_H2d9 zenon_H2d1 zenon_H35d zenon_H345 zenon_H355 zenon_H36e.
% 54.87/55.05 apply (zenon_or_s _ _ zenon_Hdf); [ zenon_intro zenon_H281 | zenon_intro zenon_H37f ].
% 54.87/55.05 apply (zenon_or_s _ _ zenon_H36e); [ zenon_intro zenon_H244 | zenon_intro zenon_H36f ].
% 54.87/55.05 apply (zenon_L126_); trivial.
% 54.87/55.05 apply (zenon_or_s _ _ zenon_H36f); [ zenon_intro zenon_H371 | zenon_intro zenon_H370 ].
% 54.87/55.05 apply (zenon_and_s _ _ zenon_H371). zenon_intro zenon_H292. zenon_intro zenon_H372.
% 54.87/55.05 apply (zenon_and_s _ _ zenon_H372). zenon_intro zenon_H2a6. zenon_intro zenon_H373.
% 54.87/55.05 apply (zenon_and_s _ _ zenon_H373). zenon_intro zenon_H375. zenon_intro zenon_H374.
% 54.87/55.05 apply (zenon_and_s _ _ zenon_H374). zenon_intro zenon_H29e. zenon_intro zenon_H376.
% 54.87/55.05 apply (zenon_and_s _ _ zenon_H376). zenon_intro zenon_H378. zenon_intro zenon_H377.
% 54.87/55.05 apply (zenon_and_s _ _ zenon_H377). zenon_intro zenon_H37a. zenon_intro zenon_H379.
% 54.87/55.05 apply (zenon_and_s _ _ zenon_H379). zenon_intro zenon_H37c. zenon_intro zenon_H37b.
% 54.87/55.05 apply (zenon_or_s _ _ zenon_H37a); [ zenon_intro zenon_H473 | zenon_intro zenon_H1a7 ].
% 54.87/55.05 apply (zenon_or_s _ _ zenon_H37c); [ zenon_intro zenon_H23f | zenon_intro zenon_H202 ].
% 54.87/55.05 apply (zenon_or_s _ _ zenon_H37b); [ zenon_intro zenon_H20d | zenon_intro zenon_H1c3 ].
% 54.87/55.05 apply (zenon_or_s _ _ zenon_H245); [ zenon_intro zenon_H147 | zenon_intro zenon_H254 ].
% 54.87/55.05 apply (zenon_L60_); trivial.
% 54.87/55.05 apply (zenon_or_s _ _ zenon_H254); [ zenon_intro zenon_H164 | zenon_intro zenon_H255 ].
% 54.87/55.05 apply (zenon_L66_); trivial.
% 54.87/55.05 apply (zenon_or_s _ _ zenon_H255); [ zenon_intro zenon_H197 | zenon_intro zenon_H256 ].
% 54.87/55.05 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_H18f. zenon_intro zenon_H198.
% 54.87/55.05 apply (zenon_and_s _ _ zenon_H198). zenon_intro zenon_H293. zenon_intro zenon_H227.
% 54.87/55.05 apply (zenon_and_s _ _ zenon_H227). zenon_intro zenon_H229. zenon_intro zenon_H228.
% 54.87/55.05 apply (zenon_and_s _ _ zenon_H228). zenon_intro zenon_H22b. zenon_intro zenon_H22a.
% 54.87/55.05 apply (zenon_and_s _ _ zenon_H22a). zenon_intro zenon_H224. zenon_intro zenon_H22c.
% 54.87/55.05 apply (zenon_or_s _ _ zenon_H224); [ zenon_intro zenon_H1d1 | zenon_intro zenon_H1d1 ].
% 54.87/55.05 apply (zenon_L628_); trivial.
% 54.87/55.05 apply (zenon_L628_); trivial.
% 54.87/55.05 apply (zenon_or_s _ _ zenon_H256); [ zenon_intro zenon_H199 | zenon_intro zenon_H257 ].
% 54.87/55.05 apply (zenon_L77_); trivial.
% 54.87/55.05 apply (zenon_or_s _ _ zenon_H257); [ zenon_intro zenon_H259 | zenon_intro zenon_H258 ].
% 54.87/55.05 apply (zenon_L647_); trivial.
% 54.87/55.05 apply (zenon_or_s _ _ zenon_H258); [ zenon_intro zenon_H1a5 | zenon_intro zenon_H262 ].
% 54.87/55.05 apply (zenon_L80_); trivial.
% 54.87/55.05 apply (zenon_or_s _ _ zenon_H262); [ zenon_intro zenon_H1ae | zenon_intro zenon_H263 ].
% 54.87/55.05 apply (zenon_L83_); trivial.
% 54.87/55.05 apply (zenon_or_s _ _ zenon_H263); [ zenon_intro zenon_H212 | zenon_intro zenon_H264 ].
% 54.87/55.05 apply (zenon_L161_); trivial.
% 54.87/55.05 apply (zenon_or_s _ _ zenon_H264); [ zenon_intro zenon_H220 | zenon_intro zenon_H265 ].
% 54.87/55.05 apply (zenon_L110_); trivial.
% 54.87/55.05 apply (zenon_or_s _ _ zenon_H265); [ zenon_intro zenon_H222 | zenon_intro zenon_H266 ].
% 54.87/55.05 apply (zenon_L111_); trivial.
% 54.87/55.05 apply (zenon_or_s _ _ zenon_H266); [ zenon_intro zenon_H225 | zenon_intro zenon_H267 ].
% 54.87/55.05 apply (zenon_L113_); trivial.
% 54.87/55.05 apply (zenon_or_s _ _ zenon_H267); [ zenon_intro zenon_H22d | zenon_intro zenon_H268 ].
% 54.87/55.05 apply (zenon_L114_); trivial.
% 54.87/55.05 apply (zenon_or_s _ _ zenon_H268); [ zenon_intro zenon_H230 | zenon_intro zenon_H269 ].
% 54.87/55.05 apply (zenon_L115_); trivial.
% 54.87/55.05 apply (zenon_or_s _ _ zenon_H269); [ zenon_intro zenon_H232 | zenon_intro zenon_H26a ].
% 54.87/55.05 apply (zenon_L116_); trivial.
% 54.87/55.05 apply (zenon_or_s _ _ zenon_H26a); [ zenon_intro zenon_H240 | zenon_intro zenon_H242 ].
% 54.87/55.05 apply (zenon_L166_); trivial.
% 54.87/55.05 apply (zenon_L125_); trivial.
% 54.87/55.05 apply (zenon_or_s _ _ zenon_H245); [ zenon_intro zenon_H147 | zenon_intro zenon_H254 ].
% 54.87/55.05 apply (zenon_L60_); trivial.
% 54.87/55.05 apply (zenon_or_s _ _ zenon_H254); [ zenon_intro zenon_H164 | zenon_intro zenon_H255 ].
% 54.87/55.05 apply (zenon_L66_); trivial.
% 54.87/55.05 apply (zenon_or_s _ _ zenon_H255); [ zenon_intro zenon_H197 | zenon_intro zenon_H256 ].
% 54.87/55.05 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_H18f. zenon_intro zenon_H198.
% 54.87/55.05 apply (zenon_and_s _ _ zenon_H198). zenon_intro zenon_H293. zenon_intro zenon_H227.
% 54.87/55.05 apply (zenon_and_s _ _ zenon_H227). zenon_intro zenon_H229. zenon_intro zenon_H228.
% 54.87/55.05 apply (zenon_and_s _ _ zenon_H228). zenon_intro zenon_H22b. zenon_intro zenon_H22a.
% 54.87/55.05 apply (zenon_and_s _ _ zenon_H22a). zenon_intro zenon_H224. zenon_intro zenon_H22c.
% 54.87/55.05 apply (zenon_or_s _ _ zenon_H224); [ zenon_intro zenon_H1d1 | zenon_intro zenon_H1d1 ].
% 54.87/55.05 apply (zenon_L652_); trivial.
% 54.87/55.05 apply (zenon_L652_); trivial.
% 54.87/55.05 apply (zenon_or_s _ _ zenon_H256); [ zenon_intro zenon_H199 | zenon_intro zenon_H257 ].
% 54.87/55.06 apply (zenon_L77_); trivial.
% 54.87/55.06 apply (zenon_or_s _ _ zenon_H257); [ zenon_intro zenon_H259 | zenon_intro zenon_H258 ].
% 54.87/55.06 apply (zenon_L647_); trivial.
% 54.87/55.06 apply (zenon_or_s _ _ zenon_H258); [ zenon_intro zenon_H1a5 | zenon_intro zenon_H262 ].
% 54.87/55.06 apply (zenon_L80_); trivial.
% 54.87/55.06 apply (zenon_or_s _ _ zenon_H262); [ zenon_intro zenon_H1ae | zenon_intro zenon_H263 ].
% 54.87/55.06 apply (zenon_L83_); trivial.
% 54.87/55.06 apply (zenon_or_s _ _ zenon_H263); [ zenon_intro zenon_H212 | zenon_intro zenon_H264 ].
% 54.87/55.06 apply (zenon_L167_); trivial.
% 54.87/55.06 apply (zenon_or_s _ _ zenon_H264); [ zenon_intro zenon_H220 | zenon_intro zenon_H265 ].
% 54.87/55.06 apply (zenon_L110_); trivial.
% 54.87/55.06 apply (zenon_or_s _ _ zenon_H265); [ zenon_intro zenon_H222 | zenon_intro zenon_H266 ].
% 54.87/55.06 apply (zenon_L111_); trivial.
% 54.87/55.06 apply (zenon_or_s _ _ zenon_H266); [ zenon_intro zenon_H225 | zenon_intro zenon_H267 ].
% 54.87/55.06 apply (zenon_L113_); trivial.
% 54.87/55.06 apply (zenon_or_s _ _ zenon_H267); [ zenon_intro zenon_H22d | zenon_intro zenon_H268 ].
% 54.87/55.06 apply (zenon_L114_); trivial.
% 54.87/55.06 apply (zenon_or_s _ _ zenon_H268); [ zenon_intro zenon_H230 | zenon_intro zenon_H269 ].
% 54.87/55.06 apply (zenon_L115_); trivial.
% 54.87/55.06 apply (zenon_or_s _ _ zenon_H269); [ zenon_intro zenon_H232 | zenon_intro zenon_H26a ].
% 54.87/55.06 apply (zenon_L116_); trivial.
% 54.87/55.06 apply (zenon_or_s _ _ zenon_H26a); [ zenon_intro zenon_H240 | zenon_intro zenon_H242 ].
% 54.87/55.06 apply (zenon_L166_); trivial.
% 54.87/55.06 apply (zenon_L125_); trivial.
% 54.87/55.06 apply (zenon_or_s _ _ zenon_H245); [ zenon_intro zenon_H147 | zenon_intro zenon_H254 ].
% 54.87/55.06 apply (zenon_L60_); trivial.
% 54.87/55.06 apply (zenon_or_s _ _ zenon_H254); [ zenon_intro zenon_H164 | zenon_intro zenon_H255 ].
% 54.87/55.06 apply (zenon_L66_); trivial.
% 54.87/55.06 apply (zenon_or_s _ _ zenon_H255); [ zenon_intro zenon_H197 | zenon_intro zenon_H256 ].
% 54.87/55.06 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_H18f. zenon_intro zenon_H198.
% 54.87/55.06 apply (zenon_and_s _ _ zenon_H198). zenon_intro zenon_H293. zenon_intro zenon_H227.
% 54.87/55.06 apply (zenon_and_s _ _ zenon_H227). zenon_intro zenon_H229. zenon_intro zenon_H228.
% 54.87/55.06 apply (zenon_and_s _ _ zenon_H228). zenon_intro zenon_H22b. zenon_intro zenon_H22a.
% 54.87/55.06 apply (zenon_and_s _ _ zenon_H22a). zenon_intro zenon_H224. zenon_intro zenon_H22c.
% 54.87/55.06 apply (zenon_or_s _ _ zenon_H22b); [ zenon_intro zenon_H23c | zenon_intro zenon_H23f ].
% 54.87/55.06 exact (zenon_H23c zenon_H202).
% 54.87/55.06 apply (zenon_or_s _ _ zenon_H224); [ zenon_intro zenon_H1d1 | zenon_intro zenon_H1d1 ].
% 54.87/55.06 apply (zenon_L656_); trivial.
% 54.87/55.06 apply (zenon_L656_); trivial.
% 54.87/55.06 apply (zenon_or_s _ _ zenon_H256); [ zenon_intro zenon_H199 | zenon_intro zenon_H257 ].
% 54.87/55.06 apply (zenon_L77_); trivial.
% 54.87/55.06 apply (zenon_or_s _ _ zenon_H257); [ zenon_intro zenon_H259 | zenon_intro zenon_H258 ].
% 54.87/55.06 apply (zenon_L661_); trivial.
% 54.87/55.06 apply (zenon_or_s _ _ zenon_H258); [ zenon_intro zenon_H1a5 | zenon_intro zenon_H262 ].
% 54.87/55.06 apply (zenon_L80_); trivial.
% 54.87/55.06 apply (zenon_or_s _ _ zenon_H262); [ zenon_intro zenon_H1ae | zenon_intro zenon_H263 ].
% 54.87/55.06 apply (zenon_L83_); trivial.
% 54.87/55.06 apply (zenon_or_s _ _ zenon_H263); [ zenon_intro zenon_H212 | zenon_intro zenon_H264 ].
% 54.87/55.06 apply (zenon_L169_); trivial.
% 54.87/55.06 apply (zenon_or_s _ _ zenon_H264); [ zenon_intro zenon_H220 | zenon_intro zenon_H265 ].
% 54.87/55.06 apply (zenon_L110_); trivial.
% 54.87/55.06 apply (zenon_or_s _ _ zenon_H265); [ zenon_intro zenon_H222 | zenon_intro zenon_H266 ].
% 54.87/55.06 apply (zenon_L111_); trivial.
% 54.87/55.06 apply (zenon_or_s _ _ zenon_H266); [ zenon_intro zenon_H225 | zenon_intro zenon_H267 ].
% 54.87/55.06 apply (zenon_L113_); trivial.
% 54.87/55.06 apply (zenon_or_s _ _ zenon_H267); [ zenon_intro zenon_H22d | zenon_intro zenon_H268 ].
% 54.87/55.06 apply (zenon_L114_); trivial.
% 54.87/55.06 apply (zenon_or_s _ _ zenon_H268); [ zenon_intro zenon_H230 | zenon_intro zenon_H269 ].
% 54.87/55.06 apply (zenon_L115_); trivial.
% 54.87/55.06 apply (zenon_or_s _ _ zenon_H269); [ zenon_intro zenon_H232 | zenon_intro zenon_H26a ].
% 54.87/55.06 apply (zenon_L116_); trivial.
% 54.87/55.06 apply (zenon_or_s _ _ zenon_H26a); [ zenon_intro zenon_H240 | zenon_intro zenon_H242 ].
% 54.87/55.06 apply (zenon_L166_); trivial.
% 54.87/55.06 apply (zenon_L125_); trivial.
% 54.87/55.06 apply (zenon_L532_); trivial.
% 54.87/55.06 apply (zenon_or_s _ _ zenon_H370); [ zenon_intro zenon_H335 | zenon_intro zenon_H363 ].
% 54.87/55.06 apply (zenon_L260_); trivial.
% 54.87/55.06 apply (zenon_L307_); trivial.
% 54.87/55.06 apply (zenon_L310_); trivial.
% 54.87/55.06 (* end of lemma zenon_L662_ *)
% 54.87/55.06 assert (zenon_L663_ : (((op2 (e22) (e22)) = (e20))\/(((op2 (e22) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e22)) = (e23))))) -> (~((op2 (e22) (e22)) = (e20))) -> (~((op2 (e22) (e22)) = (e21))) -> (~((op2 (e22) (e22)) = (e22))) -> ((e23) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((op2 (e22) (e23)) = (e23)) -> ((op2 (e20) (e20)) = (e23)) -> ((e20) = (op2 (e21) (e21))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> False).
% 54.87/55.06 do 0 intro. intros zenon_H100 zenon_H85 zenon_H101 zenon_Hd7 zenon_H3b zenon_Heb zenon_Ha8 zenon_H33 zenon_H47c.
% 54.87/55.06 apply (zenon_or_s _ _ zenon_H100); [ zenon_intro zenon_H88 | zenon_intro zenon_H102 ].
% 54.87/55.06 exact (zenon_H85 zenon_H88).
% 54.87/55.06 apply (zenon_or_s _ _ zenon_H102); [ zenon_intro zenon_H104 | zenon_intro zenon_H103 ].
% 54.87/55.06 exact (zenon_H101 zenon_H104).
% 54.87/55.06 apply (zenon_or_s _ _ zenon_H103); [ zenon_intro zenon_Hd6 | zenon_intro zenon_Hf6 ].
% 54.87/55.06 exact (zenon_Hd7 zenon_Hd6).
% 54.87/55.06 apply (zenon_L513_); trivial.
% 54.87/55.06 (* end of lemma zenon_L663_ *)
% 54.87/55.06 assert (zenon_L664_ : (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> ((e10) = (op1 (e11) (e11))) -> ((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> ((op1 (e10) (e12)) = (e10)) -> ((op1 (e12) (e10)) = (e10)) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e11)) = (e11))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> ((op1 (e11) (op1 (e11) (e12))) = (e12)) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e12))\/((op1 (e11) (e10)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> ((op1 (e11) (op1 (e11) (e11))) = (e11)) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> ((op1 (e11) (op1 (e11) (e10))) = (e10)) -> (~((op1 (e12) (e12)) = (e11))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (~((op1 (e12) (e13)) = (e12))) -> (~((op1 (e12) (e12)) = (e12))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e11)) = (e12))\/((op1 (e10) (e11)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((h2 (op1 (e11) (e13))) = (op2 (h2 (e11)) (h2 (e13))))) -> ((h2 (e11)) = (e21)) -> ((h2 (e13)) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((op1 (e11) (op1 (e11) (e13))) = (e13)) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((e12) = (e13))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> ((e12) = (op1 (op1 (op1 (e11) (e11)) (op1 (e11) (e11))) (op1 (e11) (e11)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> ((op2 (e20) (e20)) = (e23)) -> (~((op2 (e22) (e22)) = (e22))) -> (~((op2 (e22) (e22)) = (e21))) -> (~((op2 (e22) (e22)) = (e20))) -> (((op2 (e22) (e22)) = (e20))\/(((op2 (e22) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e22)) = (e23))))) -> (((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e21)) = (e22))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> ((op2 (e20) (e21)) = (e21)) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> ((e23) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((e20) = (op2 (e21) (e21))) -> ((e22) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> False).
% 54.87/55.06 do 0 intro. intros zenon_H3b4 zenon_H9f zenon_H25 zenon_H13 zenon_H15 zenon_H1e zenon_H17 zenon_H474 zenon_H18f zenon_H293 zenon_H1de zenon_H473 zenon_H1a9 zenon_H1fa zenon_H1ed zenon_H375 zenon_H32e zenon_H1be zenon_H1b1 zenon_H15f zenon_H14b zenon_H2a5 zenon_H2a6 zenon_H1da zenon_H2a3 zenon_H292 zenon_H23f zenon_H1d8 zenon_H2b1 zenon_H154 zenon_H209 zenon_H27d zenon_H1d1 zenon_H2c2 zenon_H15a zenon_H32b zenon_H30e zenon_H206 zenon_H19d zenon_H360 zenon_H2f8 zenon_H1fd zenon_H301 zenon_H316 zenon_H186 zenon_H204 zenon_H179 zenon_H180 zenon_H21a zenon_H23b zenon_H358 zenon_H4b1 zenon_H270 zenon_H461 zenon_H29e zenon_H18a zenon_H236 zenon_H2e7 zenon_H2ad zenon_H1cc zenon_H2b9 zenon_H313 zenon_H155 zenon_H172 zenon_H1a0 zenon_H47c zenon_Ha8 zenon_Hd7 zenon_H101 zenon_H85 zenon_H100 zenon_H3b1 zenon_H39d zenon_Hb9 zenon_H282 zenon_H60 zenon_H3b zenon_H33 zenon_H3f zenon_H3af.
% 54.87/55.06 apply (zenon_or_s _ _ zenon_H3b4); [ zenon_intro zenon_H9e | zenon_intro zenon_H3b5 ].
% 54.87/55.06 apply (zenon_L27_); trivial.
% 54.87/55.06 apply (zenon_or_s _ _ zenon_H3b5); [ zenon_intro zenon_He9 | zenon_intro zenon_H3b6 ].
% 54.87/55.06 apply (zenon_L619_); trivial.
% 54.87/55.06 apply (zenon_or_s _ _ zenon_H3b6); [ zenon_intro zenon_Heb | zenon_intro zenon_H106 ].
% 54.87/55.06 apply (zenon_L663_); trivial.
% 54.87/55.06 apply (zenon_L349_); trivial.
% 54.87/55.06 (* end of lemma zenon_L664_ *)
% 54.87/55.06 assert (zenon_L665_ : ((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13)))) -> (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> (((op2 (e20) (e21)) = (e20))\/(((op2 (e20) (e21)) = (e21))\/(((op2 (e20) (e21)) = (e22))\/((op2 (e20) (e21)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> (~((e21) = (e22))) -> (~((op2 (e22) (e23)) = (e22))) -> (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> (~((op2 (e21) (e21)) = (e21))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> ((e23) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((e20) = (op2 (e21) (e21))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> ((op1 (e11) (op1 (e11) (e10))) = (e10)) -> ((op1 (e12) (e10)) = (e10)) -> ((op1 (e10) (e12)) = (e10)) -> (~((op1 (e12) (e12)) = (e11))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> ((op1 (e11) (op1 (e11) (e12))) = (e12)) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> ((h2 (e11)) = (e21)) -> ((h2 (e13)) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> (~((h2 (op1 (e11) (e13))) = (op2 (h2 (e11)) (h2 (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((e12) = (e13))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> ((op1 (e11) (op1 (e11) (e13))) = (e13)) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e12) (e12)) = (e12))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e11)) = (e12))\/((op1 (e10) (e11)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> ((e10) = (op1 (e11) (e11))) -> ((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) -> ((e12) = (op1 (op1 (op1 (e11) (e11)) (op1 (e11) (e11))) (op1 (e11) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e11) (e11)) = (e11))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e12))\/((op1 (e11) (e10)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> ((op1 (e11) (op1 (e11) (e11))) = (e11)) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (((op2 (e22) (e22)) = (e20))\/(((op2 (e22) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e22)) = (e23))))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (~((op2 (e22) (e22)) = (e22))) -> (~((op2 (e22) (e22)) = (e21))) -> (~((op2 (e22) (e22)) = (e20))) -> (((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e21)) = (e22))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> ((e22) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e22)))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e20) (e21)) = (e23))\/(((op2 (e20) (e22)) = (e23))\/((op2 (e20) (e23)) = (e23))))) -> False).
% 54.87/55.06 do 0 intro. intros zenon_H22c zenon_H28c zenon_H289 zenon_H93 zenon_H286 zenon_H8d zenon_Hb0 zenon_H27e zenon_H281 zenon_Hf1 zenon_H28d zenon_H9f zenon_H3b zenon_H33 zenon_H1a0 zenon_H1e zenon_H1fa zenon_H1de zenon_H292 zenon_H293 zenon_H18f zenon_H23f zenon_H1da zenon_H32e zenon_H1ed zenon_H375 zenon_H209 zenon_H21a zenon_H2c2 zenon_H270 zenon_H461 zenon_H4b1 zenon_H358 zenon_H2ad zenon_H236 zenon_H32b zenon_H19d zenon_H316 zenon_H360 zenon_H1cc zenon_H18a zenon_H1fd zenon_H172 zenon_H29e zenon_H2f8 zenon_H301 zenon_H23b zenon_H1d1 zenon_H204 zenon_H179 zenon_H180 zenon_H186 zenon_H17 zenon_H206 zenon_H2b9 zenon_H30e zenon_H25 zenon_H2e7 zenon_H15a zenon_H13 zenon_H15 zenon_H155 zenon_H154 zenon_H473 zenon_H15f zenon_H1a9 zenon_H14b zenon_H1be zenon_H1d8 zenon_H2a3 zenon_H2a5 zenon_H2a6 zenon_H2b1 zenon_H1b1 zenon_H313 zenon_H474 zenon_H100 zenon_H47c zenon_Hd7 zenon_H101 zenon_H85 zenon_H3b1 zenon_H3af zenon_H3f zenon_H60 zenon_H282 zenon_H39d zenon_H3b4 zenon_H98 zenon_Ha5.
% 54.87/55.06 apply (zenon_or_s _ _ zenon_H22c); [ zenon_intro zenon_H27d | zenon_intro zenon_H29d ].
% 54.87/55.06 apply (zenon_or_s _ _ zenon_Ha5); [ zenon_intro zenon_Ha8 | zenon_intro zenon_Ha7 ].
% 54.87/55.06 apply (zenon_or_s _ _ zenon_H28c); [ zenon_intro zenon_Hb9 | zenon_intro zenon_H28e ].
% 54.87/55.06 apply (zenon_L664_); trivial.
% 54.87/55.06 apply (zenon_or_s _ _ zenon_H28e); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H28f ].
% 54.87/55.06 exact (zenon_H28d zenon_Hc3).
% 54.87/55.06 apply (zenon_or_s _ _ zenon_H28f); [ zenon_intro zenon_H27f | zenon_intro zenon_H283 ].
% 54.87/55.06 apply (zenon_L134_); trivial.
% 54.87/55.06 apply (zenon_L138_); trivial.
% 54.87/55.06 apply (zenon_or_s _ _ zenon_Ha7); [ zenon_intro zenon_H92 | zenon_intro zenon_Ha9 ].
% 54.87/55.06 apply (zenon_L25_); trivial.
% 54.87/55.06 apply (zenon_or_s _ _ zenon_Ha9); [ zenon_intro zenon_H97 | zenon_intro zenon_H9e ].
% 54.87/55.06 apply (zenon_L26_); trivial.
% 54.87/55.06 apply (zenon_L27_); trivial.
% 54.87/55.06 apply (zenon_L144_); trivial.
% 54.87/55.06 (* end of lemma zenon_L665_ *)
% 54.87/55.06 assert (zenon_L666_ : (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> ((e10) = (op1 (e11) (e11))) -> ((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> ((op1 (e11) (op1 (e11) (e12))) = (e12)) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e11) (op1 (e11) (e13))) = (e13)) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> ((op1 (e10) (e11)) = (e11)) -> (~((op1 (e10) (e13)) = (e10))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> ((h2 (e13)) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((h2 (e11)) = (e21)) -> (~((h2 (op1 (e11) (e13))) = (op2 (h2 (e11)) (h2 (e13))))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((e12) = (e13))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> ((e12) = (op1 (op1 (op1 (e11) (e11)) (op1 (e11) (e11))) (op1 (e11) (e11)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e10) (e10)) = (e12))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e10)) = (e12))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e13) (e10)) = (e12))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> ((op2 (e20) (e20)) = (e23)) -> (~((op2 (e22) (e22)) = (e22))) -> (~((op2 (e22) (e22)) = (e21))) -> (~((op2 (e22) (e22)) = (e20))) -> (((op2 (e22) (e22)) = (e20))\/(((op2 (e22) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e22)) = (e23))))) -> (((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e21)) = (e22))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> ((op2 (e20) (e21)) = (e21)) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> ((e23) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((e20) = (op2 (e21) (e21))) -> ((e22) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> False).
% 54.87/55.06 do 0 intro. intros zenon_H3b4 zenon_H9f zenon_H25 zenon_H13 zenon_H15 zenon_H2c9 zenon_H1e zenon_H30e zenon_H375 zenon_H1cc zenon_H1f4 zenon_H29e zenon_H485 zenon_H1fe zenon_H25f zenon_H328 zenon_H209 zenon_H204 zenon_H358 zenon_H23b zenon_H21a zenon_H461 zenon_H270 zenon_H4b1 zenon_H2e7 zenon_H2ad zenon_H236 zenon_H360 zenon_H2f8 zenon_H1fd zenon_H18a zenon_H301 zenon_H316 zenon_H32b zenon_H2b9 zenon_H15a zenon_H2c2 zenon_H155 zenon_H172 zenon_H18e zenon_H154 zenon_H1fa zenon_H4c4 zenon_H4c3 zenon_H180 zenon_H179 zenon_H186 zenon_H4c2 zenon_H47c zenon_Ha8 zenon_Hd7 zenon_H101 zenon_H85 zenon_H100 zenon_H3b1 zenon_H39d zenon_Hb9 zenon_H282 zenon_H60 zenon_H3b zenon_H33 zenon_H3f zenon_H3af.
% 54.87/55.06 apply (zenon_or_s _ _ zenon_H3b4); [ zenon_intro zenon_H9e | zenon_intro zenon_H3b5 ].
% 54.87/55.06 apply (zenon_L27_); trivial.
% 54.87/55.06 apply (zenon_or_s _ _ zenon_H3b5); [ zenon_intro zenon_He9 | zenon_intro zenon_H3b6 ].
% 54.87/55.06 apply (zenon_L643_); trivial.
% 54.87/55.06 apply (zenon_or_s _ _ zenon_H3b6); [ zenon_intro zenon_Heb | zenon_intro zenon_H106 ].
% 54.87/55.06 apply (zenon_L663_); trivial.
% 54.87/55.06 apply (zenon_L349_); trivial.
% 54.87/55.06 (* end of lemma zenon_L666_ *)
% 54.87/55.06 assert (zenon_L667_ : ((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12)))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e20) (e21)) = (e23))\/(((op2 (e20) (e22)) = (e23))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e22)))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> ((e22) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e21)) = (e22))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e22) (e22)) = (e20))) -> (~((op2 (e22) (e22)) = (e21))) -> (~((op2 (e22) (e22)) = (e22))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (((op2 (e22) (e22)) = (e20))\/(((op2 (e22) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e22)) = (e23))))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e10)) = (e12))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e13) (e10)) = (e12))))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> ((op1 (e11) (op1 (e11) (e13))) = (e13)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> ((op1 (e10) (e11)) = (e11)) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> ((h2 (e11)) = (e21)) -> ((h2 (e13)) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> (~((h2 (op1 (e11) (e13))) = (op2 (h2 (e11)) (h2 (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> ((op1 (e11) (op1 (e11) (e12))) = (e12)) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> ((e12) = (op1 (op1 (op1 (e11) (e11)) (op1 (e11) (e11))) (op1 (e11) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((e12) = (e13))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> ((e20) = (op2 (e21) (e21))) -> ((e23) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (~((op2 (e21) (e21)) = (e21))) -> (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> (~((op2 (e22) (e23)) = (e22))) -> (~((e21) = (e22))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> (((op2 (e20) (e21)) = (e20))\/(((op2 (e20) (e21)) = (e21))\/(((op2 (e20) (e21)) = (e22))\/((op2 (e20) (e21)) = (e23))))) -> (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> ((e10) = (op1 (e11) (e11))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (~((op1 (e10) (e10)) = (e10))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> ((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> ((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))) -> False).
% 54.87/55.06 do 0 intro. intros zenon_H25e zenon_Ha5 zenon_H98 zenon_H3b4 zenon_H39d zenon_H282 zenon_H60 zenon_H3f zenon_H3af zenon_H3b1 zenon_H85 zenon_H101 zenon_Hd7 zenon_H47c zenon_H100 zenon_H4c3 zenon_H2c2 zenon_H358 zenon_H32b zenon_H301 zenon_H2f8 zenon_H29e zenon_H172 zenon_H1fe zenon_H1fd zenon_H18a zenon_H1cc zenon_H360 zenon_H316 zenon_H2b9 zenon_H270 zenon_H461 zenon_H4b1 zenon_H18e zenon_H2c9 zenon_H15a zenon_H328 zenon_H204 zenon_H23b zenon_H485 zenon_H30e zenon_H375 zenon_H1f4 zenon_H1fa zenon_H21a zenon_H155 zenon_H154 zenon_H179 zenon_H180 zenon_H186 zenon_H209 zenon_H2ad zenon_H236 zenon_H2e7 zenon_H4c2 zenon_H33 zenon_H3b zenon_H9f zenon_H28d zenon_Hf1 zenon_H281 zenon_H27e zenon_Hb0 zenon_H8d zenon_H286 zenon_H93 zenon_H289 zenon_H28c zenon_H246 zenon_H13 zenon_H19d zenon_H146 zenon_H1a0 zenon_H25 zenon_H1e zenon_H15 zenon_H17 zenon_H25d.
% 54.87/55.06 apply (zenon_or_s _ _ zenon_H25e); [ zenon_intro zenon_H458 | zenon_intro zenon_H4c4 ].
% 54.87/55.06 apply (zenon_L629_); trivial.
% 54.87/55.06 apply (zenon_or_s _ _ zenon_H25d); [ zenon_intro zenon_H25f | zenon_intro zenon_H1a1 ].
% 54.87/55.06 apply (zenon_or_s _ _ zenon_Ha5); [ zenon_intro zenon_Ha8 | zenon_intro zenon_Ha7 ].
% 54.87/55.06 apply (zenon_or_s _ _ zenon_H28c); [ zenon_intro zenon_Hb9 | zenon_intro zenon_H28e ].
% 54.87/55.06 apply (zenon_L666_); trivial.
% 54.87/55.06 apply (zenon_or_s _ _ zenon_H28e); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H28f ].
% 54.87/55.06 exact (zenon_H28d zenon_Hc3).
% 54.87/55.06 apply (zenon_or_s _ _ zenon_H28f); [ zenon_intro zenon_H27f | zenon_intro zenon_H283 ].
% 54.87/55.06 apply (zenon_L134_); trivial.
% 54.87/55.06 apply (zenon_L138_); trivial.
% 54.87/55.06 apply (zenon_or_s _ _ zenon_Ha7); [ zenon_intro zenon_H92 | zenon_intro zenon_Ha9 ].
% 54.87/55.06 apply (zenon_L25_); trivial.
% 54.87/55.06 apply (zenon_or_s _ _ zenon_Ha9); [ zenon_intro zenon_H97 | zenon_intro zenon_H9e ].
% 54.87/55.06 apply (zenon_L26_); trivial.
% 54.87/55.06 apply (zenon_L27_); trivial.
% 54.87/55.06 apply (zenon_L79_); trivial.
% 54.87/55.06 (* end of lemma zenon_L667_ *)
% 54.87/55.06 assert (zenon_L668_ : (((op1 (e11) (e10)) = (e11))/\(((op1 (e10) (e11)) = (e11))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11))))/\(((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12))))/\((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13))))))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> ((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> ((e10) = (op1 (e11) (e11))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> (((op2 (e20) (e21)) = (e20))\/(((op2 (e20) (e21)) = (e21))\/(((op2 (e20) (e21)) = (e22))\/((op2 (e20) (e21)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> (~((e21) = (e22))) -> (~((op2 (e22) (e23)) = (e22))) -> (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> (~((op2 (e21) (e21)) = (e21))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> ((e23) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((e20) = (op2 (e21) (e21))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((e12) = (e13))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> ((e12) = (op1 (op1 (op1 (e11) (e11)) (op1 (e11) (e11))) (op1 (e11) (e11)))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e11) (op1 (e11) (e12))) = (e12)) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((h2 (op1 (e11) (e13))) = (op2 (h2 (e11)) (h2 (e13))))) -> ((h2 (e13)) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((h2 (e11)) = (e21)) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> ((op1 (e11) (op1 (e11) (e13))) = (e13)) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e10)) = (e12))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e13) (e10)) = (e12))))) -> (((op2 (e22) (e22)) = (e20))\/(((op2 (e22) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e22)) = (e23))))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (~((op2 (e22) (e22)) = (e22))) -> (~((op2 (e22) (e22)) = (e21))) -> (~((op2 (e22) (e22)) = (e20))) -> (((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e21)) = (e22))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> ((e22) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e22)))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e20) (e21)) = (e23))\/(((op2 (e20) (e22)) = (e23))\/((op2 (e20) (e23)) = (e23))))) -> False).
% 54.87/55.06 do 0 intro. intros zenon_H259 zenon_H17 zenon_H15 zenon_H1e zenon_H25 zenon_H1a0 zenon_H19d zenon_H13 zenon_H246 zenon_H28c zenon_H289 zenon_H93 zenon_H286 zenon_H8d zenon_Hb0 zenon_H27e zenon_H281 zenon_Hf1 zenon_H28d zenon_H9f zenon_H3b zenon_H33 zenon_H4c2 zenon_H2e7 zenon_H236 zenon_H2ad zenon_H209 zenon_H186 zenon_H180 zenon_H179 zenon_H154 zenon_H155 zenon_H21a zenon_H1fa zenon_H1f4 zenon_H375 zenon_H30e zenon_H485 zenon_H23b zenon_H204 zenon_H328 zenon_H15a zenon_H2c9 zenon_H18e zenon_H4b1 zenon_H461 zenon_H270 zenon_H2b9 zenon_H316 zenon_H360 zenon_H1cc zenon_H18a zenon_H1fd zenon_H172 zenon_H29e zenon_H2f8 zenon_H301 zenon_H32b zenon_H358 zenon_H2c2 zenon_H4c3 zenon_H100 zenon_H47c zenon_Hd7 zenon_H101 zenon_H85 zenon_H3b1 zenon_H3af zenon_H3f zenon_H60 zenon_H282 zenon_H39d zenon_H3b4 zenon_H98 zenon_Ha5.
% 54.87/55.06 apply (zenon_and_s _ _ zenon_H259). zenon_intro zenon_H163. zenon_intro zenon_H25a.
% 54.87/55.06 apply (zenon_and_s _ _ zenon_H25a). zenon_intro zenon_H1fe. zenon_intro zenon_H149.
% 54.87/55.06 apply (zenon_and_s _ _ zenon_H149). zenon_intro zenon_H144. zenon_intro zenon_H14a.
% 54.87/55.06 apply (zenon_and_s _ _ zenon_H14a). zenon_intro zenon_H25c. zenon_intro zenon_H25b.
% 54.87/55.06 apply (zenon_and_s _ _ zenon_H25b). zenon_intro zenon_H25e. zenon_intro zenon_H25d.
% 54.87/55.06 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_H146 | zenon_intro zenon_H146 ].
% 54.87/55.06 apply (zenon_L667_); trivial.
% 54.87/55.06 apply (zenon_L667_); trivial.
% 54.87/55.06 (* end of lemma zenon_L668_ *)
% 54.87/55.06 assert (zenon_L669_ : ((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13)))) -> (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> (((op2 (e20) (e21)) = (e20))\/(((op2 (e20) (e21)) = (e21))\/(((op2 (e20) (e21)) = (e22))\/((op2 (e20) (e21)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> (~((e21) = (e22))) -> (~((op2 (e22) (e23)) = (e22))) -> (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> (~((op2 (e21) (e21)) = (e21))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> ((e23) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((e20) = (op2 (e21) (e21))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> ((op1 (e13) (e11)) = (e13)) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e12))\/((op1 (e11) (e10)) = (e13))))) -> (~((op1 (e11) (e11)) = (e11))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> ((e12) = (op1 (op1 (op1 (e11) (e11)) (op1 (e11) (e11))) (op1 (e11) (e11)))) -> ((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) -> ((e10) = (op1 (e11) (e11))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e11)) = (e12))\/((op1 (e10) (e11)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e12) (e12)) = (e12))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> ((op1 (e11) (op1 (e11) (e13))) = (e13)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((e12) = (e13))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((h2 (op1 (e11) (e13))) = (op2 (h2 (e11)) (h2 (e13))))) -> ((h2 (e13)) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((h2 (e11)) = (e21)) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> ((op1 (e11) (op1 (e11) (e12))) = (e12)) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (~((op1 (e12) (e12)) = (e11))) -> ((op1 (e10) (e12)) = (e10)) -> ((op1 (e12) (e10)) = (e10)) -> ((op1 (e11) (op1 (e11) (e10))) = (e10)) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (((op2 (e22) (e22)) = (e20))\/(((op2 (e22) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e22)) = (e23))))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (~((op2 (e22) (e22)) = (e22))) -> (~((op2 (e22) (e22)) = (e21))) -> (~((op2 (e22) (e22)) = (e20))) -> (((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e21)) = (e22))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> ((e22) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e22)))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e20) (e21)) = (e23))\/(((op2 (e20) (e22)) = (e23))\/((op2 (e20) (e23)) = (e23))))) -> False).
% 54.87/55.06 do 0 intro. intros zenon_H22c zenon_H28c zenon_H289 zenon_H93 zenon_H286 zenon_H8d zenon_Hb0 zenon_H27e zenon_H281 zenon_Hf1 zenon_H28d zenon_H9f zenon_H3b zenon_H33 zenon_H474 zenon_H1c3 zenon_H14b zenon_H1a9 zenon_H15f zenon_H473 zenon_H154 zenon_H155 zenon_H15 zenon_H13 zenon_H15a zenon_H2e7 zenon_H25 zenon_H30e zenon_H2b9 zenon_H206 zenon_H17 zenon_H186 zenon_H180 zenon_H179 zenon_H204 zenon_H1d1 zenon_H23b zenon_H301 zenon_H2f8 zenon_H29e zenon_H172 zenon_H1fd zenon_H18a zenon_H1cc zenon_H360 zenon_H316 zenon_H19d zenon_H32b zenon_H236 zenon_H2ad zenon_H358 zenon_H4b1 zenon_H461 zenon_H270 zenon_H2c2 zenon_H21a zenon_H209 zenon_H375 zenon_H1ed zenon_H32e zenon_H1da zenon_H23f zenon_H18f zenon_H293 zenon_H292 zenon_H1de zenon_H1fa zenon_H100 zenon_H47c zenon_Hd7 zenon_H101 zenon_H85 zenon_H3b1 zenon_H3af zenon_H3f zenon_H60 zenon_H282 zenon_H39d zenon_H3b4 zenon_H98 zenon_Ha5.
% 54.87/55.06 apply (zenon_or_s _ _ zenon_H22c); [ zenon_intro zenon_H27d | zenon_intro zenon_H29d ].
% 54.87/55.06 apply (zenon_or_s _ _ zenon_Ha5); [ zenon_intro zenon_Ha8 | zenon_intro zenon_Ha7 ].
% 54.87/55.06 apply (zenon_or_s _ _ zenon_H28c); [ zenon_intro zenon_Hb9 | zenon_intro zenon_H28e ].
% 54.87/55.06 apply (zenon_or_s _ _ zenon_H3b4); [ zenon_intro zenon_H9e | zenon_intro zenon_H3b5 ].
% 54.87/55.06 apply (zenon_L27_); trivial.
% 54.87/55.06 apply (zenon_or_s _ _ zenon_H3b5); [ zenon_intro zenon_He9 | zenon_intro zenon_H3b6 ].
% 54.87/55.06 apply (zenon_L648_); trivial.
% 54.87/55.06 apply (zenon_or_s _ _ zenon_H3b6); [ zenon_intro zenon_Heb | zenon_intro zenon_H106 ].
% 54.87/55.06 apply (zenon_L663_); trivial.
% 54.87/55.06 apply (zenon_L349_); trivial.
% 54.87/55.06 apply (zenon_or_s _ _ zenon_H28e); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H28f ].
% 54.87/55.06 exact (zenon_H28d zenon_Hc3).
% 54.87/55.06 apply (zenon_or_s _ _ zenon_H28f); [ zenon_intro zenon_H27f | zenon_intro zenon_H283 ].
% 54.87/55.06 apply (zenon_L134_); trivial.
% 54.87/55.06 apply (zenon_L138_); trivial.
% 54.87/55.06 apply (zenon_or_s _ _ zenon_Ha7); [ zenon_intro zenon_H92 | zenon_intro zenon_Ha9 ].
% 54.87/55.06 apply (zenon_L25_); trivial.
% 54.87/55.06 apply (zenon_or_s _ _ zenon_Ha9); [ zenon_intro zenon_H97 | zenon_intro zenon_H9e ].
% 54.87/55.06 apply (zenon_L26_); trivial.
% 54.87/55.06 apply (zenon_L27_); trivial.
% 54.87/55.06 apply (zenon_L144_); trivial.
% 54.87/55.06 (* end of lemma zenon_L669_ *)
% 54.87/55.06 assert (zenon_L670_ : (((op1 (e10) (e12)) = (e10))/\(((op1 (e12) (e10)) = (e10))/\(((~((op1 (e12) (e10)) = (e12)))\/(~((op1 (e12) (e12)) = (e10))))/\(((~((op1 (e12) (e11)) = (e12)))\/(~((op1 (e12) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13))))))))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e20) (e21)) = (e23))\/(((op2 (e20) (e22)) = (e23))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e22)))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> ((e22) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e21)) = (e22))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e22) (e22)) = (e20))) -> (~((op2 (e22) (e22)) = (e21))) -> (~((op2 (e22) (e22)) = (e22))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (((op2 (e22) (e22)) = (e20))\/(((op2 (e22) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e22)) = (e23))))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> ((op1 (e11) (op1 (e11) (e10))) = (e10)) -> (~((op1 (e12) (e12)) = (e11))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> ((op1 (e11) (op1 (e11) (e12))) = (e12)) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> ((h2 (e11)) = (e21)) -> ((h2 (e13)) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> (~((h2 (op1 (e11) (e13))) = (op2 (h2 (e11)) (h2 (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((e12) = (e13))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> ((op1 (e11) (op1 (e11) (e13))) = (e13)) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (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 (e12) (e11)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e11)) = (e12))\/((op1 (e10) (e11)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> ((e10) = (op1 (e11) (e11))) -> ((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) -> ((e12) = (op1 (op1 (op1 (e11) (e11)) (op1 (e11) (e11))) (op1 (e11) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e11) (e11)) = (e11))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e12))\/((op1 (e11) (e10)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> ((op1 (e13) (e11)) = (e13)) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> ((e20) = (op2 (e21) (e21))) -> ((e23) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (~((op2 (e21) (e21)) = (e21))) -> (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> (~((op2 (e22) (e23)) = (e22))) -> (~((e21) = (e22))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> (((op2 (e20) (e21)) = (e20))\/(((op2 (e20) (e21)) = (e21))\/(((op2 (e20) (e21)) = (e22))\/((op2 (e20) (e21)) = (e23))))) -> (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> False).
% 54.87/55.06 do 0 intro. intros zenon_H197 zenon_Ha5 zenon_H98 zenon_H3b4 zenon_H39d zenon_H282 zenon_H60 zenon_H3f zenon_H3af zenon_H3b1 zenon_H85 zenon_H101 zenon_Hd7 zenon_H47c zenon_H100 zenon_H1fa zenon_H1de zenon_H292 zenon_H23f zenon_H1da zenon_H32e zenon_H1ed zenon_H375 zenon_H209 zenon_H21a zenon_H2c2 zenon_H270 zenon_H461 zenon_H4b1 zenon_H358 zenon_H2ad zenon_H236 zenon_H32b zenon_H19d zenon_H316 zenon_H360 zenon_H1cc zenon_H18a zenon_H1fd zenon_H172 zenon_H29e zenon_H2f8 zenon_H301 zenon_H23b zenon_H204 zenon_H179 zenon_H180 zenon_H186 zenon_H17 zenon_H206 zenon_H2b9 zenon_H30e zenon_H25 zenon_H2e7 zenon_H15a zenon_H13 zenon_H15 zenon_H155 zenon_H154 zenon_H473 zenon_H15f zenon_H1a9 zenon_H14b zenon_H1c3 zenon_H474 zenon_H33 zenon_H3b zenon_H9f zenon_H28d zenon_Hf1 zenon_H281 zenon_H27e zenon_Hb0 zenon_H8d zenon_H286 zenon_H93 zenon_H289 zenon_H28c.
% 54.87/55.06 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_H18f. zenon_intro zenon_H198.
% 54.87/55.06 apply (zenon_and_s _ _ zenon_H198). zenon_intro zenon_H293. zenon_intro zenon_H227.
% 54.87/55.06 apply (zenon_and_s _ _ zenon_H227). zenon_intro zenon_H229. zenon_intro zenon_H228.
% 54.87/55.06 apply (zenon_and_s _ _ zenon_H228). zenon_intro zenon_H22b. zenon_intro zenon_H22a.
% 54.87/55.06 apply (zenon_and_s _ _ zenon_H22a). zenon_intro zenon_H224. zenon_intro zenon_H22c.
% 54.87/55.06 apply (zenon_or_s _ _ zenon_H224); [ zenon_intro zenon_H1d1 | zenon_intro zenon_H1d1 ].
% 54.87/55.06 apply (zenon_L669_); trivial.
% 54.87/55.06 apply (zenon_L669_); trivial.
% 54.87/55.06 (* end of lemma zenon_L670_ *)
% 54.87/55.06 assert (zenon_L671_ : ((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13)))) -> (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> (((op2 (e20) (e21)) = (e20))\/(((op2 (e20) (e21)) = (e21))\/(((op2 (e20) (e21)) = (e22))\/((op2 (e20) (e21)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> (~((e21) = (e22))) -> (~((op2 (e22) (e23)) = (e22))) -> (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> (~((op2 (e21) (e21)) = (e21))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> ((e23) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((e20) = (op2 (e21) (e21))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> ((op1 (e11) (op1 (e11) (e10))) = (e10)) -> ((op1 (e12) (e10)) = (e10)) -> ((op1 (e10) (e12)) = (e10)) -> (~((op1 (e12) (e12)) = (e11))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> ((op1 (e11) (op1 (e11) (e12))) = (e12)) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e11)) = (e12))\/((op1 (e10) (e11)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e12) (e12)) = (e12))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> ((op1 (e11) (op1 (e11) (e13))) = (e13)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> ((op1 (e12) (e11)) = (e12)) -> (~((e12) = (e13))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((h2 (op1 (e11) (e13))) = (op2 (h2 (e11)) (h2 (e13))))) -> ((h2 (e13)) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((h2 (e11)) = (e21)) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> ((e10) = (op1 (e11) (e11))) -> ((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) -> ((e12) = (op1 (op1 (op1 (e11) (e11)) (op1 (e11) (e11))) (op1 (e11) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e11) (e11)) = (e11))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e12))\/((op1 (e11) (e10)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> ((op1 (e11) (op1 (e11) (e11))) = (e11)) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (((op2 (e22) (e22)) = (e20))\/(((op2 (e22) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e22)) = (e23))))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (~((op2 (e22) (e22)) = (e22))) -> (~((op2 (e22) (e22)) = (e21))) -> (~((op2 (e22) (e22)) = (e20))) -> (((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e21)) = (e22))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> ((e22) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e22)))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e20) (e21)) = (e23))\/(((op2 (e20) (e22)) = (e23))\/((op2 (e20) (e23)) = (e23))))) -> False).
% 54.87/55.06 do 0 intro. intros zenon_H22c zenon_H28c zenon_H289 zenon_H93 zenon_H286 zenon_H8d zenon_Hb0 zenon_H27e zenon_H281 zenon_Hf1 zenon_H28d zenon_H9f zenon_H3b zenon_H33 zenon_H1a0 zenon_H1e zenon_H1fa zenon_H1de zenon_H292 zenon_H293 zenon_H18f zenon_H23f zenon_H1da zenon_H375 zenon_H1ed zenon_H32e zenon_H15a zenon_H2e7 zenon_H25 zenon_H30e zenon_H2b9 zenon_H206 zenon_H17 zenon_H21a zenon_H186 zenon_H180 zenon_H179 zenon_H204 zenon_H1d1 zenon_H23b zenon_H301 zenon_H2f8 zenon_H29e zenon_H172 zenon_H1fd zenon_H18a zenon_H1cc zenon_H360 zenon_H316 zenon_H19d zenon_H32b zenon_H202 zenon_H236 zenon_H2ad zenon_H358 zenon_H4b1 zenon_H461 zenon_H270 zenon_H2c2 zenon_H13 zenon_H15 zenon_H155 zenon_H154 zenon_H473 zenon_H15f zenon_H1a9 zenon_H14b zenon_H1be zenon_H1d8 zenon_H2a3 zenon_H2a5 zenon_H2a6 zenon_H2b1 zenon_H1b1 zenon_H313 zenon_H474 zenon_H100 zenon_H47c zenon_Hd7 zenon_H101 zenon_H85 zenon_H3b1 zenon_H3af zenon_H3f zenon_H60 zenon_H282 zenon_H39d zenon_H3b4 zenon_H98 zenon_Ha5.
% 54.87/55.06 apply (zenon_or_s _ _ zenon_H22c); [ zenon_intro zenon_H27d | zenon_intro zenon_H29d ].
% 54.87/55.06 apply (zenon_or_s _ _ zenon_Ha5); [ zenon_intro zenon_Ha8 | zenon_intro zenon_Ha7 ].
% 54.87/55.06 apply (zenon_or_s _ _ zenon_H28c); [ zenon_intro zenon_Hb9 | zenon_intro zenon_H28e ].
% 54.87/55.06 apply (zenon_or_s _ _ zenon_H3b4); [ zenon_intro zenon_H9e | zenon_intro zenon_H3b5 ].
% 54.87/55.06 apply (zenon_L27_); trivial.
% 54.87/55.06 apply (zenon_or_s _ _ zenon_H3b5); [ zenon_intro zenon_He9 | zenon_intro zenon_H3b6 ].
% 54.87/55.06 apply (zenon_L655_); trivial.
% 54.87/55.06 apply (zenon_or_s _ _ zenon_H3b6); [ zenon_intro zenon_Heb | zenon_intro zenon_H106 ].
% 54.87/55.06 apply (zenon_L663_); trivial.
% 54.87/55.06 apply (zenon_L349_); trivial.
% 54.87/55.06 apply (zenon_or_s _ _ zenon_H28e); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H28f ].
% 54.87/55.06 exact (zenon_H28d zenon_Hc3).
% 54.87/55.06 apply (zenon_or_s _ _ zenon_H28f); [ zenon_intro zenon_H27f | zenon_intro zenon_H283 ].
% 54.87/55.06 apply (zenon_L134_); trivial.
% 54.87/55.06 apply (zenon_L138_); trivial.
% 54.87/55.06 apply (zenon_or_s _ _ zenon_Ha7); [ zenon_intro zenon_H92 | zenon_intro zenon_Ha9 ].
% 54.87/55.06 apply (zenon_L25_); trivial.
% 54.87/55.06 apply (zenon_or_s _ _ zenon_Ha9); [ zenon_intro zenon_H97 | zenon_intro zenon_H9e ].
% 54.87/55.06 apply (zenon_L26_); trivial.
% 54.87/55.06 apply (zenon_L27_); trivial.
% 54.87/55.06 apply (zenon_L144_); trivial.
% 54.87/55.06 (* end of lemma zenon_L671_ *)
% 54.87/55.06 assert (zenon_L672_ : (((op1 (e10) (e12)) = (e10))/\(((op1 (e12) (e10)) = (e10))/\(((~((op1 (e12) (e10)) = (e12)))\/(~((op1 (e12) (e12)) = (e10))))/\(((~((op1 (e12) (e11)) = (e12)))\/(~((op1 (e12) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13))))))))) -> (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> (((op2 (e20) (e21)) = (e20))\/(((op2 (e20) (e21)) = (e21))\/(((op2 (e20) (e21)) = (e22))\/((op2 (e20) (e21)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> (~((e21) = (e22))) -> (~((op2 (e22) (e23)) = (e22))) -> (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> (~((op2 (e21) (e21)) = (e21))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> ((e23) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((e20) = (op2 (e21) (e21))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> ((op1 (e11) (op1 (e11) (e10))) = (e10)) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> ((op1 (e11) (op1 (e11) (e12))) = (e12)) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e11)) = (e12))\/((op1 (e10) (e11)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> ((op1 (e11) (op1 (e11) (e13))) = (e13)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((e12) = (e13))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((h2 (op1 (e11) (e13))) = (op2 (h2 (e11)) (h2 (e13))))) -> ((h2 (e13)) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((h2 (e11)) = (e21)) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> ((e10) = (op1 (e11) (e11))) -> ((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) -> ((e12) = (op1 (op1 (op1 (e11) (e11)) (op1 (e11) (e11))) (op1 (e11) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e11) (e11)) = (e11))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e12))\/((op1 (e11) (e10)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> ((op1 (e11) (op1 (e11) (e11))) = (e11)) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (((op2 (e22) (e22)) = (e20))\/(((op2 (e22) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e22)) = (e23))))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (~((op2 (e22) (e22)) = (e22))) -> (~((op2 (e22) (e22)) = (e21))) -> (~((op2 (e22) (e22)) = (e20))) -> (((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e21)) = (e22))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> ((e22) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e22)))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e20) (e21)) = (e23))\/(((op2 (e20) (e22)) = (e23))\/((op2 (e20) (e23)) = (e23))))) -> ((op1 (e12) (e11)) = (e12)) -> False).
% 54.87/55.06 do 0 intro. intros zenon_H197 zenon_H28c zenon_H289 zenon_H93 zenon_H286 zenon_H8d zenon_Hb0 zenon_H27e zenon_H281 zenon_Hf1 zenon_H28d zenon_H9f zenon_H3b zenon_H33 zenon_H1a0 zenon_H1e zenon_H1fa zenon_H1de zenon_H292 zenon_H1da zenon_H375 zenon_H1ed zenon_H32e zenon_H15a zenon_H2e7 zenon_H25 zenon_H30e zenon_H2b9 zenon_H206 zenon_H17 zenon_H21a zenon_H186 zenon_H180 zenon_H179 zenon_H204 zenon_H23b zenon_H301 zenon_H2f8 zenon_H29e zenon_H172 zenon_H1fd zenon_H18a zenon_H1cc zenon_H360 zenon_H316 zenon_H19d zenon_H32b zenon_H236 zenon_H2ad zenon_H358 zenon_H4b1 zenon_H461 zenon_H270 zenon_H2c2 zenon_H13 zenon_H15 zenon_H155 zenon_H154 zenon_H473 zenon_H15f zenon_H1a9 zenon_H14b zenon_H1be zenon_H1d8 zenon_H2a3 zenon_H2a5 zenon_H2a6 zenon_H2b1 zenon_H1b1 zenon_H313 zenon_H474 zenon_H100 zenon_H47c zenon_Hd7 zenon_H101 zenon_H85 zenon_H3b1 zenon_H3af zenon_H3f zenon_H60 zenon_H282 zenon_H39d zenon_H3b4 zenon_H98 zenon_Ha5 zenon_H202.
% 54.87/55.06 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_H18f. zenon_intro zenon_H198.
% 54.87/55.06 apply (zenon_and_s _ _ zenon_H198). zenon_intro zenon_H293. zenon_intro zenon_H227.
% 54.87/55.06 apply (zenon_and_s _ _ zenon_H227). zenon_intro zenon_H229. zenon_intro zenon_H228.
% 54.87/55.06 apply (zenon_and_s _ _ zenon_H228). zenon_intro zenon_H22b. zenon_intro zenon_H22a.
% 54.87/55.06 apply (zenon_and_s _ _ zenon_H22a). zenon_intro zenon_H224. zenon_intro zenon_H22c.
% 54.87/55.06 apply (zenon_or_s _ _ zenon_H22b); [ zenon_intro zenon_H23c | zenon_intro zenon_H23f ].
% 54.87/55.06 exact (zenon_H23c zenon_H202).
% 54.87/55.06 apply (zenon_or_s _ _ zenon_H224); [ zenon_intro zenon_H1d1 | zenon_intro zenon_H1d1 ].
% 54.87/55.06 apply (zenon_L671_); trivial.
% 54.87/55.06 apply (zenon_L671_); trivial.
% 54.87/55.06 (* end of lemma zenon_L672_ *)
% 54.87/55.06 assert (zenon_L673_ : (((op2 (e22) (e22)) = (e20))\/(((op2 (e22) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e22)) = (e23))))) -> (~((op2 (e22) (e22)) = (e20))) -> (~((op2 (e22) (e22)) = (e21))) -> (~((op2 (e22) (e22)) = (e22))) -> (~((op2 (e22) (e22)) = (e23))) -> False).
% 54.87/55.06 do 0 intro. intros zenon_H100 zenon_H85 zenon_H101 zenon_Hd7 zenon_H37f.
% 54.87/55.06 apply (zenon_or_s _ _ zenon_H100); [ zenon_intro zenon_H88 | zenon_intro zenon_H102 ].
% 54.87/55.06 exact (zenon_H85 zenon_H88).
% 54.87/55.06 apply (zenon_or_s _ _ zenon_H102); [ zenon_intro zenon_H104 | zenon_intro zenon_H103 ].
% 54.87/55.06 exact (zenon_H101 zenon_H104).
% 54.87/55.06 apply (zenon_or_s _ _ zenon_H103); [ zenon_intro zenon_Hd6 | zenon_intro zenon_Hf6 ].
% 54.87/55.06 exact (zenon_Hd7 zenon_Hd6).
% 54.87/55.06 exact (zenon_H37f zenon_Hf6).
% 54.87/55.06 (* end of lemma zenon_L673_ *)
% 54.87/55.06 assert (zenon_L674_ : ((~((op2 (e22) (e22)) = (e22)))\/(~((op2 (e22) (e22)) = (e22)))) -> (~((op2 (e22) (e22)) = (e20))) -> (~((op2 (e22) (e22)) = (e21))) -> (~((op2 (e22) (e22)) = (e23))) -> (((op2 (e22) (e22)) = (e20))\/(((op2 (e22) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e22)) = (e23))))) -> False).
% 54.87/55.06 do 0 intro. intros zenon_Hd5 zenon_H85 zenon_H101 zenon_H37f zenon_H100.
% 54.87/55.06 apply (zenon_or_s _ _ zenon_Hd5); [ zenon_intro zenon_Hd7 | zenon_intro zenon_Hd7 ].
% 54.87/55.06 apply (zenon_L673_); trivial.
% 54.87/55.06 apply (zenon_L673_); trivial.
% 54.87/55.06 (* end of lemma zenon_L674_ *)
% 54.87/55.06 assert (zenon_L675_ : ((~((op2 (e22) (e23)) = (e22)))\/(~((op2 (e22) (e22)) = (e23)))) -> ((~((op2 (e22) (e22)) = (e22)))\/(~((op2 (e22) (e22)) = (e22)))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e12))\/((op1 (e11) (e10)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> ((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) -> ((e12) = (op1 (op1 (op1 (e11) (e11)) (op1 (e11) (e11))) (op1 (e11) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((e10) = (e12))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e11)) = (e12))\/((op1 (e10) (e11)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (((op1 (e13) (e13)) = (e10))\/(((op1 (e13) (e13)) = (e11))\/(((op1 (e13) (e13)) = (e12))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (~((e12) = (e13))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> ((((op1 (e10) (e10)) = (e10))/\(((op1 (e10) (e10)) = (e10))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11))))/\(((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12))))/\((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))))))))\/((((op1 (e10) (e11)) = (e10))/\(((op1 (e11) (e10)) = (e10))/\(((~((op1 (e11) (e10)) = (e11)))\/(~((op1 (e11) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e11) (e12)) = (e11)))\/(~((op1 (e11) (e11)) = (e12))))/\((~((op1 (e11) (e13)) = (e11)))\/(~((op1 (e11) (e11)) = (e13)))))))))\/((((op1 (e10) (e12)) = (e10))/\(((op1 (e12) (e10)) = (e10))/\(((~((op1 (e12) (e10)) = (e12)))\/(~((op1 (e12) (e12)) = (e10))))/\(((~((op1 (e12) (e11)) = (e12)))\/(~((op1 (e12) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13)))))))))\/((((op1 (e10) (e13)) = (e10))/\(((op1 (e13) (e10)) = (e10))/\(((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e13) (e13)) = (e10))))/\(((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11))))/\(((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e13) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13)))))))))\/((((op1 (e11) (e10)) = (e11))/\(((op1 (e10) (e11)) = (e11))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11))))/\(((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12))))/\((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))))))))\/((((op1 (e11) (e11)) = (e11))/\(((op1 (e11) (e11)) = (e11))/\(((~((op1 (e11) (e10)) = (e11)))\/(~((op1 (e11) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e11) (e12)) = (e11)))\/(~((op1 (e11) (e11)) = (e12))))/\((~((op1 (e11) (e13)) = (e11)))\/(~((op1 (e11) (e11)) = (e13)))))))))\/((((op1 (e11) (e12)) = (e11))/\(((op1 (e12) (e11)) = (e11))/\(((~((op1 (e12) (e10)) = (e12)))\/(~((op1 (e12) (e12)) = (e10))))/\(((~((op1 (e12) (e11)) = (e12)))\/(~((op1 (e12) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13)))))))))\/((((op1 (e11) (e13)) = (e11))/\(((op1 (e13) (e11)) = (e11))/\(((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e13) (e13)) = (e10))))/\(((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11))))/\(((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e13) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13)))))))))\/((((op1 (e12) (e10)) = (e12))/\(((op1 (e10) (e12)) = (e12))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11))))/\(((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12))))/\((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))))))))\/((((op1 (e12) (e11)) = (e12))/\(((op1 (e11) (e12)) = (e12))/\(((~((op1 (e11) (e10)) = (e11)))\/(~((op1 (e11) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e11) (e12)) = (e11)))\/(~((op1 (e11) (e11)) = (e12))))/\((~((op1 (e11) (e13)) = (e11)))\/(~((op1 (e11) (e11)) = (e13)))))))))\/((((op1 (e12) (e12)) = (e12))/\(((op1 (e12) (e12)) = (e12))/\(((~((op1 (e12) (e10)) = (e12)))\/(~((op1 (e12) (e12)) = (e10))))/\(((~((op1 (e12) (e11)) = (e12)))\/(~((op1 (e12) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13)))))))))\/((((op1 (e12) (e13)) = (e12))/\(((op1 (e13) (e12)) = (e12))/\(((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e13) (e13)) = (e10))))/\(((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11))))/\(((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e13) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13)))))))))\/((((op1 (e13) (e10)) = (e13))/\(((op1 (e10) (e13)) = (e13))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11))))/\(((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12))))/\((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))))))))\/((((op1 (e13) (e11)) = (e13))/\(((op1 (e11) (e13)) = (e13))/\(((~((op1 (e11) (e10)) = (e11)))\/(~((op1 (e11) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e11) (e12)) = (e11)))\/(~((op1 (e11) (e11)) = (e12))))/\((~((op1 (e11) (e13)) = (e11)))\/(~((op1 (e11) (e11)) = (e13)))))))))\/((((op1 (e13) (e12)) = (e13))/\(((op1 (e12) (e13)) = (e13))/\(((~((op1 (e12) (e10)) = (e12)))\/(~((op1 (e12) (e12)) = (e10))))/\(((~((op1 (e12) (e11)) = (e12)))\/(~((op1 (e12) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13)))))))))\/(((op1 (e13) (e13)) = (e13))/\(((op1 (e13) (e13)) = (e13))/\(((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e13) (e13)) = (e10))))/\(((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11))))/\(((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e13) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13)))))))))))))))))))))))) -> ((e10) = (op1 (e11) (e11))) -> ((op2 (e22) (e20)) = (e20)) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e10)) = (e12))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e13) (e10)) = (e12))))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e20) (e21)) = (e23))\/(((op2 (e20) (e22)) = (e23))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e22)))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> ((e22) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e21)) = (e22))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e22) (e22)) = (e20))) -> (~((op2 (e22) (e22)) = (e21))) -> (~((op2 (e22) (e22)) = (e22))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (((op2 (e22) (e22)) = (e20))\/(((op2 (e22) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e22)) = (e23))))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((h2 (op1 (e11) (e13))) = (op2 (h2 (e11)) (h2 (e13))))) -> ((h2 (e13)) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((h2 (e11)) = (e21)) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> ((e20) = (op2 (e21) (e21))) -> ((e23) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (~((op2 (e21) (e21)) = (e21))) -> (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> (~((e21) = (e22))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> (((op2 (e20) (e21)) = (e20))\/(((op2 (e20) (e21)) = (e21))\/(((op2 (e20) (e21)) = (e22))\/((op2 (e20) (e21)) = (e23))))) -> (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> (((op1 (e10) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e12) (e11)) = (e13))))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e12) (e13)) = (e10))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> ((((op1 (e10) (op1 (e10) (e10))) = (e10))/\(((op1 (e10) (op1 (e10) (e11))) = (e11))/\(((op1 (e10) (op1 (e10) (e12))) = (e12))/\(((op1 (e10) (op1 (e10) (e13))) = (e13))/\(((~((op1 (e10) (e10)) = (e10)))\/((op1 (e10) (e10)) = (e10)))/\(((~((op1 (e11) (e11)) = (e10)))\/((op1 (e11) (e10)) = (e11)))/\(((~((op1 (e12) (e12)) = (e10)))\/((op1 (e12) (e10)) = (e12)))/\((~((op1 (e13) (e13)) = (e10)))\/((op1 (e13) (e10)) = (e13))))))))))\/((((op1 (e11) (op1 (e11) (e10))) = (e10))/\(((op1 (e11) (op1 (e11) (e11))) = (e11))/\(((op1 (e11) (op1 (e11) (e12))) = (e12))/\(((op1 (e11) (op1 (e11) (e13))) = (e13))/\(((~((op1 (e10) (e10)) = (e11)))\/((op1 (e10) (e11)) = (e10)))/\(((~((op1 (e11) (e11)) = (e11)))\/((op1 (e11) (e11)) = (e11)))/\(((~((op1 (e12) (e12)) = (e11)))\/((op1 (e12) (e11)) = (e12)))/\((~((op1 (e13) (e13)) = (e11)))\/((op1 (e13) (e11)) = (e13))))))))))\/((((op1 (e12) (op1 (e12) (e10))) = (e10))/\(((op1 (e12) (op1 (e12) (e11))) = (e11))/\(((op1 (e12) (op1 (e12) (e12))) = (e12))/\(((op1 (e12) (op1 (e12) (e13))) = (e13))/\(((~((op1 (e10) (e10)) = (e12)))\/((op1 (e10) (e12)) = (e10)))/\(((~((op1 (e11) (e11)) = (e12)))\/((op1 (e11) (e12)) = (e11)))/\(((~((op1 (e12) (e12)) = (e12)))\/((op1 (e12) (e12)) = (e12)))/\((~((op1 (e13) (e13)) = (e12)))\/((op1 (e13) (e12)) = (e13))))))))))\/(((op1 (e13) (op1 (e13) (e10))) = (e10))/\(((op1 (e13) (op1 (e13) (e11))) = (e11))/\(((op1 (e13) (op1 (e13) (e12))) = (e12))/\(((op1 (e13) (op1 (e13) (e13))) = (e13))/\(((~((op1 (e10) (e10)) = (e13)))\/((op1 (e10) (e13)) = (e10)))/\(((~((op1 (e11) (e11)) = (e13)))\/((op1 (e11) (e13)) = (e11)))/\(((~((op1 (e12) (e12)) = (e13)))\/((op1 (e12) (e13)) = (e12)))/\((~((op1 (e13) (e13)) = (e13)))\/((op1 (e13) (e13)) = (e13))))))))))))) -> False).
% 54.87/55.06 do 0 intro. intros zenon_Hdf zenon_Hd5 zenon_H15f zenon_H15a zenon_H15 zenon_H155 zenon_H154 zenon_H14b zenon_H186 zenon_H180 zenon_H179 zenon_H172 zenon_H16c zenon_H18a zenon_H18e zenon_H192 zenon_H246 zenon_H19d zenon_H1a0 zenon_H25 zenon_H1e zenon_H17 zenon_H1a9 zenon_H209 zenon_H206 zenon_H204 zenon_H1fd zenon_H1fa zenon_H1f7 zenon_H1f4 zenon_H1ed zenon_H1e8 zenon_H1da zenon_H1d8 zenon_H1cc zenon_H1de zenon_H1b1 zenon_H1be zenon_H20c zenon_H21a zenon_H236 zenon_H23b zenon_H245 zenon_H13 zenon_H121 zenon_H37d zenon_H2c0 zenon_H4c2 zenon_H485 zenon_H328 zenon_H2c9 zenon_H4c3 zenon_Ha5 zenon_H98 zenon_H3b4 zenon_H39d zenon_H282 zenon_H60 zenon_H3f zenon_H3af zenon_H3b1 zenon_H85 zenon_H101 zenon_Hd7 zenon_H47c zenon_H100 zenon_H474 zenon_H313 zenon_H2b1 zenon_H2a5 zenon_H2a3 zenon_H2e7 zenon_H30e zenon_H2b9 zenon_H301 zenon_H2f8 zenon_H360 zenon_H316 zenon_H32b zenon_H2ad zenon_H358 zenon_H4b1 zenon_H461 zenon_H270 zenon_H2c2 zenon_H32e zenon_H33 zenon_H3b zenon_H9f zenon_H28d zenon_Hf1 zenon_H27e zenon_Hb0 zenon_H8d zenon_H286 zenon_H93 zenon_H289 zenon_H28c zenon_H2fd zenon_H2fb zenon_H2f6 zenon_H325 zenon_H322 zenon_H321 zenon_H30b zenon_H2ea zenon_H2e2 zenon_H2e6 zenon_H2d9 zenon_H2d1 zenon_H35d zenon_H345 zenon_H355 zenon_H36e.
% 54.87/55.06 apply (zenon_or_s _ _ zenon_Hdf); [ zenon_intro zenon_H281 | zenon_intro zenon_H37f ].
% 54.87/55.06 apply (zenon_or_s _ _ zenon_H36e); [ zenon_intro zenon_H244 | zenon_intro zenon_H36f ].
% 54.87/55.06 apply (zenon_L126_); trivial.
% 54.87/55.06 apply (zenon_or_s _ _ zenon_H36f); [ zenon_intro zenon_H371 | zenon_intro zenon_H370 ].
% 54.87/55.06 apply (zenon_and_s _ _ zenon_H371). zenon_intro zenon_H292. zenon_intro zenon_H372.
% 54.87/55.06 apply (zenon_and_s _ _ zenon_H372). zenon_intro zenon_H2a6. zenon_intro zenon_H373.
% 54.87/55.06 apply (zenon_and_s _ _ zenon_H373). zenon_intro zenon_H375. zenon_intro zenon_H374.
% 54.87/55.06 apply (zenon_and_s _ _ zenon_H374). zenon_intro zenon_H29e. zenon_intro zenon_H376.
% 54.87/55.06 apply (zenon_and_s _ _ zenon_H376). zenon_intro zenon_H378. zenon_intro zenon_H377.
% 54.87/55.06 apply (zenon_and_s _ _ zenon_H377). zenon_intro zenon_H37a. zenon_intro zenon_H379.
% 54.87/55.06 apply (zenon_and_s _ _ zenon_H379). zenon_intro zenon_H37c. zenon_intro zenon_H37b.
% 54.87/55.06 apply (zenon_or_s _ _ zenon_H37a); [ zenon_intro zenon_H473 | zenon_intro zenon_H1a7 ].
% 54.87/55.06 apply (zenon_or_s _ _ zenon_H37c); [ zenon_intro zenon_H23f | zenon_intro zenon_H202 ].
% 54.87/55.06 apply (zenon_or_s _ _ zenon_H37b); [ zenon_intro zenon_H20d | zenon_intro zenon_H1c3 ].
% 54.87/55.06 apply (zenon_or_s _ _ zenon_H245); [ zenon_intro zenon_H147 | zenon_intro zenon_H254 ].
% 54.87/55.06 apply (zenon_L60_); trivial.
% 54.87/55.06 apply (zenon_or_s _ _ zenon_H254); [ zenon_intro zenon_H164 | zenon_intro zenon_H255 ].
% 54.87/55.06 apply (zenon_L66_); trivial.
% 54.87/55.06 apply (zenon_or_s _ _ zenon_H255); [ zenon_intro zenon_H197 | zenon_intro zenon_H256 ].
% 54.87/55.06 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_H18f. zenon_intro zenon_H198.
% 54.87/55.06 apply (zenon_and_s _ _ zenon_H198). zenon_intro zenon_H293. zenon_intro zenon_H227.
% 54.87/55.06 apply (zenon_and_s _ _ zenon_H227). zenon_intro zenon_H229. zenon_intro zenon_H228.
% 54.87/55.06 apply (zenon_and_s _ _ zenon_H228). zenon_intro zenon_H22b. zenon_intro zenon_H22a.
% 54.87/55.06 apply (zenon_and_s _ _ zenon_H22a). zenon_intro zenon_H224. zenon_intro zenon_H22c.
% 54.87/55.06 apply (zenon_or_s _ _ zenon_H224); [ zenon_intro zenon_H1d1 | zenon_intro zenon_H1d1 ].
% 54.87/55.06 apply (zenon_L665_); trivial.
% 54.87/55.06 apply (zenon_L665_); trivial.
% 54.87/55.06 apply (zenon_or_s _ _ zenon_H256); [ zenon_intro zenon_H199 | zenon_intro zenon_H257 ].
% 54.87/55.06 apply (zenon_L77_); trivial.
% 54.87/55.06 apply (zenon_or_s _ _ zenon_H257); [ zenon_intro zenon_H259 | zenon_intro zenon_H258 ].
% 54.87/55.06 apply (zenon_L668_); trivial.
% 54.87/55.06 apply (zenon_or_s _ _ zenon_H258); [ zenon_intro zenon_H1a5 | zenon_intro zenon_H262 ].
% 54.87/55.06 apply (zenon_L80_); trivial.
% 54.87/55.06 apply (zenon_or_s _ _ zenon_H262); [ zenon_intro zenon_H1ae | zenon_intro zenon_H263 ].
% 54.87/55.06 apply (zenon_L83_); trivial.
% 54.87/55.06 apply (zenon_or_s _ _ zenon_H263); [ zenon_intro zenon_H212 | zenon_intro zenon_H264 ].
% 54.87/55.06 apply (zenon_L161_); trivial.
% 54.87/55.06 apply (zenon_or_s _ _ zenon_H264); [ zenon_intro zenon_H220 | zenon_intro zenon_H265 ].
% 54.87/55.06 apply (zenon_L110_); trivial.
% 54.87/55.06 apply (zenon_or_s _ _ zenon_H265); [ zenon_intro zenon_H222 | zenon_intro zenon_H266 ].
% 54.87/55.06 apply (zenon_L111_); trivial.
% 54.87/55.06 apply (zenon_or_s _ _ zenon_H266); [ zenon_intro zenon_H225 | zenon_intro zenon_H267 ].
% 54.87/55.06 apply (zenon_L113_); trivial.
% 54.87/55.06 apply (zenon_or_s _ _ zenon_H267); [ zenon_intro zenon_H22d | zenon_intro zenon_H268 ].
% 54.87/55.06 apply (zenon_L114_); trivial.
% 54.87/55.06 apply (zenon_or_s _ _ zenon_H268); [ zenon_intro zenon_H230 | zenon_intro zenon_H269 ].
% 54.87/55.06 apply (zenon_L115_); trivial.
% 54.87/55.06 apply (zenon_or_s _ _ zenon_H269); [ zenon_intro zenon_H232 | zenon_intro zenon_H26a ].
% 54.87/55.06 apply (zenon_L116_); trivial.
% 54.87/55.06 apply (zenon_or_s _ _ zenon_H26a); [ zenon_intro zenon_H240 | zenon_intro zenon_H242 ].
% 54.87/55.06 apply (zenon_L166_); trivial.
% 54.87/55.06 apply (zenon_L125_); trivial.
% 54.87/55.06 apply (zenon_or_s _ _ zenon_H245); [ zenon_intro zenon_H147 | zenon_intro zenon_H254 ].
% 54.87/55.06 apply (zenon_L60_); trivial.
% 54.87/55.06 apply (zenon_or_s _ _ zenon_H254); [ zenon_intro zenon_H164 | zenon_intro zenon_H255 ].
% 54.87/55.06 apply (zenon_L66_); trivial.
% 54.87/55.06 apply (zenon_or_s _ _ zenon_H255); [ zenon_intro zenon_H197 | zenon_intro zenon_H256 ].
% 54.87/55.06 apply (zenon_L670_); trivial.
% 54.87/55.06 apply (zenon_or_s _ _ zenon_H256); [ zenon_intro zenon_H199 | zenon_intro zenon_H257 ].
% 54.87/55.06 apply (zenon_L77_); trivial.
% 54.87/55.06 apply (zenon_or_s _ _ zenon_H257); [ zenon_intro zenon_H259 | zenon_intro zenon_H258 ].
% 54.87/55.06 apply (zenon_L668_); trivial.
% 54.87/55.06 apply (zenon_or_s _ _ zenon_H258); [ zenon_intro zenon_H1a5 | zenon_intro zenon_H262 ].
% 54.87/55.06 apply (zenon_L80_); trivial.
% 54.87/55.06 apply (zenon_or_s _ _ zenon_H262); [ zenon_intro zenon_H1ae | zenon_intro zenon_H263 ].
% 54.87/55.06 apply (zenon_L83_); trivial.
% 54.87/55.06 apply (zenon_or_s _ _ zenon_H263); [ zenon_intro zenon_H212 | zenon_intro zenon_H264 ].
% 54.87/55.06 apply (zenon_L167_); trivial.
% 54.87/55.06 apply (zenon_or_s _ _ zenon_H264); [ zenon_intro zenon_H220 | zenon_intro zenon_H265 ].
% 54.87/55.06 apply (zenon_L110_); trivial.
% 54.87/55.06 apply (zenon_or_s _ _ zenon_H265); [ zenon_intro zenon_H222 | zenon_intro zenon_H266 ].
% 54.87/55.06 apply (zenon_L111_); trivial.
% 54.87/55.06 apply (zenon_or_s _ _ zenon_H266); [ zenon_intro zenon_H225 | zenon_intro zenon_H267 ].
% 54.87/55.06 apply (zenon_L113_); trivial.
% 54.87/55.06 apply (zenon_or_s _ _ zenon_H267); [ zenon_intro zenon_H22d | zenon_intro zenon_H268 ].
% 54.87/55.06 apply (zenon_L114_); trivial.
% 54.87/55.06 apply (zenon_or_s _ _ zenon_H268); [ zenon_intro zenon_H230 | zenon_intro zenon_H269 ].
% 54.87/55.06 apply (zenon_L115_); trivial.
% 54.87/55.06 apply (zenon_or_s _ _ zenon_H269); [ zenon_intro zenon_H232 | zenon_intro zenon_H26a ].
% 54.87/55.06 apply (zenon_L116_); trivial.
% 54.87/55.06 apply (zenon_or_s _ _ zenon_H26a); [ zenon_intro zenon_H240 | zenon_intro zenon_H242 ].
% 54.87/55.06 apply (zenon_L166_); trivial.
% 54.87/55.06 apply (zenon_L125_); trivial.
% 54.87/55.06 apply (zenon_or_s _ _ zenon_H245); [ zenon_intro zenon_H147 | zenon_intro zenon_H254 ].
% 54.87/55.06 apply (zenon_L60_); trivial.
% 54.87/55.06 apply (zenon_or_s _ _ zenon_H254); [ zenon_intro zenon_H164 | zenon_intro zenon_H255 ].
% 54.87/55.06 apply (zenon_L66_); trivial.
% 54.87/55.06 apply (zenon_or_s _ _ zenon_H255); [ zenon_intro zenon_H197 | zenon_intro zenon_H256 ].
% 54.87/55.06 apply (zenon_L672_); trivial.
% 54.87/55.06 apply (zenon_or_s _ _ zenon_H256); [ zenon_intro zenon_H199 | zenon_intro zenon_H257 ].
% 54.87/55.06 apply (zenon_L77_); trivial.
% 54.87/55.06 apply (zenon_or_s _ _ zenon_H257); [ zenon_intro zenon_H259 | zenon_intro zenon_H258 ].
% 54.87/55.06 apply (zenon_L661_); trivial.
% 54.87/55.06 apply (zenon_or_s _ _ zenon_H258); [ zenon_intro zenon_H1a5 | zenon_intro zenon_H262 ].
% 54.87/55.06 apply (zenon_L80_); trivial.
% 54.87/55.06 apply (zenon_or_s _ _ zenon_H262); [ zenon_intro zenon_H1ae | zenon_intro zenon_H263 ].
% 54.87/55.06 apply (zenon_L83_); trivial.
% 54.87/55.06 apply (zenon_or_s _ _ zenon_H263); [ zenon_intro zenon_H212 | zenon_intro zenon_H264 ].
% 54.87/55.06 apply (zenon_L169_); trivial.
% 54.87/55.06 apply (zenon_or_s _ _ zenon_H264); [ zenon_intro zenon_H220 | zenon_intro zenon_H265 ].
% 54.87/55.06 apply (zenon_L110_); trivial.
% 54.87/55.06 apply (zenon_or_s _ _ zenon_H265); [ zenon_intro zenon_H222 | zenon_intro zenon_H266 ].
% 54.87/55.06 apply (zenon_L111_); trivial.
% 54.87/55.06 apply (zenon_or_s _ _ zenon_H266); [ zenon_intro zenon_H225 | zenon_intro zenon_H267 ].
% 54.87/55.06 apply (zenon_L113_); trivial.
% 54.87/55.06 apply (zenon_or_s _ _ zenon_H267); [ zenon_intro zenon_H22d | zenon_intro zenon_H268 ].
% 54.87/55.06 apply (zenon_L114_); trivial.
% 54.87/55.06 apply (zenon_or_s _ _ zenon_H268); [ zenon_intro zenon_H230 | zenon_intro zenon_H269 ].
% 54.87/55.06 apply (zenon_L115_); trivial.
% 54.87/55.06 apply (zenon_or_s _ _ zenon_H269); [ zenon_intro zenon_H232 | zenon_intro zenon_H26a ].
% 54.87/55.06 apply (zenon_L116_); trivial.
% 54.87/55.06 apply (zenon_or_s _ _ zenon_H26a); [ zenon_intro zenon_H240 | zenon_intro zenon_H242 ].
% 54.87/55.06 apply (zenon_L166_); trivial.
% 54.87/55.06 apply (zenon_L125_); trivial.
% 54.87/55.06 apply (zenon_L532_); trivial.
% 54.87/55.06 apply (zenon_or_s _ _ zenon_H370); [ zenon_intro zenon_H335 | zenon_intro zenon_H363 ].
% 54.87/55.06 apply (zenon_L260_); trivial.
% 54.87/55.06 apply (zenon_L307_); trivial.
% 54.87/55.06 apply (zenon_L674_); trivial.
% 54.87/55.06 (* end of lemma zenon_L675_ *)
% 54.87/55.06 assert (zenon_L676_ : ((((op1 (e10) (op1 (e10) (e10))) = (e10))/\(((op1 (e10) (op1 (e10) (e11))) = (e11))/\(((op1 (e10) (op1 (e10) (e12))) = (e12))/\(((op1 (e10) (op1 (e10) (e13))) = (e13))/\(((~((op1 (e10) (e10)) = (e10)))\/((op1 (e10) (e10)) = (e10)))/\(((~((op1 (e11) (e11)) = (e10)))\/((op1 (e11) (e10)) = (e11)))/\(((~((op1 (e12) (e12)) = (e10)))\/((op1 (e12) (e10)) = (e12)))/\((~((op1 (e13) (e13)) = (e10)))\/((op1 (e13) (e10)) = (e13))))))))))\/((((op1 (e11) (op1 (e11) (e10))) = (e10))/\(((op1 (e11) (op1 (e11) (e11))) = (e11))/\(((op1 (e11) (op1 (e11) (e12))) = (e12))/\(((op1 (e11) (op1 (e11) (e13))) = (e13))/\(((~((op1 (e10) (e10)) = (e11)))\/((op1 (e10) (e11)) = (e10)))/\(((~((op1 (e11) (e11)) = (e11)))\/((op1 (e11) (e11)) = (e11)))/\(((~((op1 (e12) (e12)) = (e11)))\/((op1 (e12) (e11)) = (e12)))/\((~((op1 (e13) (e13)) = (e11)))\/((op1 (e13) (e11)) = (e13))))))))))\/((((op1 (e12) (op1 (e12) (e10))) = (e10))/\(((op1 (e12) (op1 (e12) (e11))) = (e11))/\(((op1 (e12) (op1 (e12) (e12))) = (e12))/\(((op1 (e12) (op1 (e12) (e13))) = (e13))/\(((~((op1 (e10) (e10)) = (e12)))\/((op1 (e10) (e12)) = (e10)))/\(((~((op1 (e11) (e11)) = (e12)))\/((op1 (e11) (e12)) = (e11)))/\(((~((op1 (e12) (e12)) = (e12)))\/((op1 (e12) (e12)) = (e12)))/\((~((op1 (e13) (e13)) = (e12)))\/((op1 (e13) (e12)) = (e13))))))))))\/(((op1 (e13) (op1 (e13) (e10))) = (e10))/\(((op1 (e13) (op1 (e13) (e11))) = (e11))/\(((op1 (e13) (op1 (e13) (e12))) = (e12))/\(((op1 (e13) (op1 (e13) (e13))) = (e13))/\(((~((op1 (e10) (e10)) = (e13)))\/((op1 (e10) (e13)) = (e10)))/\(((~((op1 (e11) (e11)) = (e13)))\/((op1 (e11) (e13)) = (e11)))/\(((~((op1 (e12) (e12)) = (e13)))\/((op1 (e12) (e13)) = (e12)))/\((~((op1 (e13) (e13)) = (e13)))\/((op1 (e13) (e13)) = (e13))))))))))))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e12) (e13)) = (e10))))) -> (((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e12) (e11)) = (e13))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> (((op2 (e20) (e21)) = (e20))\/(((op2 (e20) (e21)) = (e21))\/(((op2 (e20) (e21)) = (e22))\/((op2 (e20) (e21)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> (~((e21) = (e22))) -> (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> (~((op2 (e21) (e21)) = (e21))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> ((e23) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((e20) = (op2 (e21) (e21))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> ((h2 (e11)) = (e21)) -> ((h2 (e13)) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> (~((h2 (op1 (e11) (e13))) = (op2 (h2 (e11)) (h2 (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (((op2 (e22) (e22)) = (e20))\/(((op2 (e22) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e22)) = (e23))))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (~((op2 (e22) (e22)) = (e21))) -> (~((op2 (e22) (e22)) = (e20))) -> (((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e21)) = (e22))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> ((e22) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e22)))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e20) (e21)) = (e23))\/(((op2 (e20) (e22)) = (e23))\/((op2 (e20) (e23)) = (e23))))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e10)) = (e12))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e13) (e10)) = (e12))))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> ((op2 (e22) (e20)) = (e20)) -> ((e10) = (op1 (e11) (e11))) -> ((((op1 (e10) (e10)) = (e10))/\(((op1 (e10) (e10)) = (e10))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11))))/\(((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12))))/\((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))))))))\/((((op1 (e10) (e11)) = (e10))/\(((op1 (e11) (e10)) = (e10))/\(((~((op1 (e11) (e10)) = (e11)))\/(~((op1 (e11) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e11) (e12)) = (e11)))\/(~((op1 (e11) (e11)) = (e12))))/\((~((op1 (e11) (e13)) = (e11)))\/(~((op1 (e11) (e11)) = (e13)))))))))\/((((op1 (e10) (e12)) = (e10))/\(((op1 (e12) (e10)) = (e10))/\(((~((op1 (e12) (e10)) = (e12)))\/(~((op1 (e12) (e12)) = (e10))))/\(((~((op1 (e12) (e11)) = (e12)))\/(~((op1 (e12) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13)))))))))\/((((op1 (e10) (e13)) = (e10))/\(((op1 (e13) (e10)) = (e10))/\(((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e13) (e13)) = (e10))))/\(((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11))))/\(((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e13) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13)))))))))\/((((op1 (e11) (e10)) = (e11))/\(((op1 (e10) (e11)) = (e11))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11))))/\(((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12))))/\((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))))))))\/((((op1 (e11) (e11)) = (e11))/\(((op1 (e11) (e11)) = (e11))/\(((~((op1 (e11) (e10)) = (e11)))\/(~((op1 (e11) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e11) (e12)) = (e11)))\/(~((op1 (e11) (e11)) = (e12))))/\((~((op1 (e11) (e13)) = (e11)))\/(~((op1 (e11) (e11)) = (e13)))))))))\/((((op1 (e11) (e12)) = (e11))/\(((op1 (e12) (e11)) = (e11))/\(((~((op1 (e12) (e10)) = (e12)))\/(~((op1 (e12) (e12)) = (e10))))/\(((~((op1 (e12) (e11)) = (e12)))\/(~((op1 (e12) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13)))))))))\/((((op1 (e11) (e13)) = (e11))/\(((op1 (e13) (e11)) = (e11))/\(((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e13) (e13)) = (e10))))/\(((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11))))/\(((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e13) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13)))))))))\/((((op1 (e12) (e10)) = (e12))/\(((op1 (e10) (e12)) = (e12))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11))))/\(((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12))))/\((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))))))))\/((((op1 (e12) (e11)) = (e12))/\(((op1 (e11) (e12)) = (e12))/\(((~((op1 (e11) (e10)) = (e11)))\/(~((op1 (e11) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e11) (e12)) = (e11)))\/(~((op1 (e11) (e11)) = (e12))))/\((~((op1 (e11) (e13)) = (e11)))\/(~((op1 (e11) (e11)) = (e13)))))))))\/((((op1 (e12) (e12)) = (e12))/\(((op1 (e12) (e12)) = (e12))/\(((~((op1 (e12) (e10)) = (e12)))\/(~((op1 (e12) (e12)) = (e10))))/\(((~((op1 (e12) (e11)) = (e12)))\/(~((op1 (e12) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13)))))))))\/((((op1 (e12) (e13)) = (e12))/\(((op1 (e13) (e12)) = (e12))/\(((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e13) (e13)) = (e10))))/\(((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11))))/\(((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e13) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13)))))))))\/((((op1 (e13) (e10)) = (e13))/\(((op1 (e10) (e13)) = (e13))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11))))/\(((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12))))/\((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))))))))\/((((op1 (e13) (e11)) = (e13))/\(((op1 (e11) (e13)) = (e13))/\(((~((op1 (e11) (e10)) = (e11)))\/(~((op1 (e11) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e11) (e12)) = (e11)))\/(~((op1 (e11) (e11)) = (e12))))/\((~((op1 (e11) (e13)) = (e11)))\/(~((op1 (e11) (e11)) = (e13)))))))))\/((((op1 (e13) (e12)) = (e13))/\(((op1 (e12) (e13)) = (e13))/\(((~((op1 (e12) (e10)) = (e12)))\/(~((op1 (e12) (e12)) = (e10))))/\(((~((op1 (e12) (e11)) = (e12)))\/(~((op1 (e12) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13)))))))))\/(((op1 (e13) (e13)) = (e13))/\(((op1 (e13) (e13)) = (e13))/\(((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e13) (e13)) = (e10))))/\(((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11))))/\(((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e13) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13)))))))))))))))))))))))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((e12) = (e13))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e13) (e13)) = (e10))\/(((op1 (e13) (e13)) = (e11))\/(((op1 (e13) (e13)) = (e12))\/((op1 (e13) (e13)) = (e13))))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (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) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e11)) = (e12))\/((op1 (e10) (e11)) = (e13))))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((e10) = (e12))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> ((e12) = (op1 (op1 (op1 (e11) (e11)) (op1 (e11) (e11))) (op1 (e11) (e11)))) -> ((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e12))\/((op1 (e11) (e10)) = (e13))))) -> ((~((op2 (e22) (e22)) = (e22)))\/(~((op2 (e22) (e22)) = (e22)))) -> ((~((op2 (e22) (e23)) = (e22)))\/(~((op2 (e22) (e22)) = (e23)))) -> False).
% 54.87/55.06 do 0 intro. intros zenon_H36e zenon_H355 zenon_H345 zenon_H35d zenon_H2d1 zenon_H2d9 zenon_H2e6 zenon_H2e2 zenon_H2ea zenon_H30b zenon_H321 zenon_H322 zenon_H325 zenon_H2f6 zenon_H2fb zenon_H2fd zenon_H28c zenon_H289 zenon_H93 zenon_H286 zenon_H8d zenon_Hb0 zenon_H27e zenon_Hf1 zenon_H28d zenon_H9f zenon_H3b zenon_H33 zenon_H32e zenon_H2c2 zenon_H270 zenon_H461 zenon_H4b1 zenon_H358 zenon_H2ad zenon_H32b zenon_H316 zenon_H360 zenon_H2f8 zenon_H301 zenon_H2b9 zenon_H30e zenon_H2e7 zenon_H2a3 zenon_H2a5 zenon_H2b1 zenon_H313 zenon_H474 zenon_H100 zenon_H47c zenon_H101 zenon_H85 zenon_H3b1 zenon_H3af zenon_H3f zenon_H60 zenon_H282 zenon_H39d zenon_H3b4 zenon_H98 zenon_Ha5 zenon_H4c3 zenon_H2c9 zenon_H328 zenon_H485 zenon_H4c2 zenon_H2c0 zenon_H37d zenon_H121 zenon_H13 zenon_H245 zenon_H23b zenon_H236 zenon_H21a zenon_H20c zenon_H1be zenon_H1b1 zenon_H1de zenon_H1cc zenon_H1d8 zenon_H1da zenon_H1e8 zenon_H1ed zenon_H1f4 zenon_H1f7 zenon_H1fa zenon_H1fd zenon_H204 zenon_H206 zenon_H209 zenon_H1a9 zenon_H17 zenon_H1e zenon_H25 zenon_H1a0 zenon_H19d zenon_H246 zenon_H192 zenon_H18e zenon_H18a zenon_H16c zenon_H172 zenon_H179 zenon_H180 zenon_H186 zenon_H14b zenon_H154 zenon_H155 zenon_H15 zenon_H15a zenon_H15f zenon_Hd5 zenon_Hdf.
% 54.87/55.06 apply (zenon_or_s _ _ zenon_Hd5); [ zenon_intro zenon_Hd7 | zenon_intro zenon_Hd7 ].
% 54.87/55.06 apply (zenon_L675_); trivial.
% 54.87/55.06 apply (zenon_L675_); trivial.
% 54.87/55.06 (* end of lemma zenon_L676_ *)
% 54.87/55.06 assert (zenon_L677_ : (((op2 (e20) (e22)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e23) (e22)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e22)))) -> ((op2 (e21) (op2 (e21) (e22))) = (e22)) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e23)) = (e20))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> ((e22) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> ((op2 (e20) (e21)) = (e21)) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> (((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e21)) = (e22))\/((op2 (e23) (e21)) = (e23))))) -> ((op2 (e20) (e20)) = (e23)) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> ((e10) = (op1 (e11) (e11))) -> ((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> ((op1 (e10) (e12)) = (e10)) -> ((op1 (e12) (e10)) = (e10)) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e11)) = (e11))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> ((op1 (e11) (op1 (e11) (e12))) = (e12)) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e12))\/((op1 (e11) (e10)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> ((op1 (e11) (op1 (e11) (e11))) = (e11)) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> ((op1 (e11) (op1 (e11) (e10))) = (e10)) -> (~((op1 (e12) (e12)) = (e11))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (~((op1 (e12) (e13)) = (e12))) -> (~((op1 (e12) (e12)) = (e12))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e11)) = (e12))\/((op1 (e10) (e11)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((h2 (op1 (e11) (e13))) = (op2 (h2 (e11)) (h2 (e13))))) -> ((h2 (e11)) = (e21)) -> ((h2 (e13)) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((op1 (e11) (op1 (e11) (e13))) = (e13)) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((e12) = (e13))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> ((e12) = (op1 (op1 (op1 (e11) (e11)) (op1 (e11) (e11))) (op1 (e11) (e11)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> ((op2 (e21) (e21)) = (e23)) -> (~((op2 (e20) (e20)) = (op2 (e23) (e20)))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> ((e23) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((op2 (e21) (e21)) = (e22)) -> ((e20) = (op2 (e21) (e21))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> False).
% 54.87/55.06 do 0 intro. intros zenon_H43a zenon_H98 zenon_H481 zenon_H3a8 zenon_H3c2 zenon_Had zenon_H489 zenon_H3af zenon_H3f zenon_H60 zenon_H282 zenon_Hb9 zenon_H39d zenon_H3b1 zenon_Ha8 zenon_Hfc zenon_H3b4 zenon_H9f zenon_H25 zenon_H13 zenon_H15 zenon_H1e zenon_H17 zenon_H474 zenon_H18f zenon_H293 zenon_H1de zenon_H473 zenon_H1a9 zenon_H1fa zenon_H1ed zenon_H375 zenon_H32e zenon_H1be zenon_H1b1 zenon_H15f zenon_H14b zenon_H2a5 zenon_H2a6 zenon_H1da zenon_H2a3 zenon_H292 zenon_H23f zenon_H1d8 zenon_H2b1 zenon_H154 zenon_H209 zenon_H27d zenon_H1d1 zenon_H2c2 zenon_H15a zenon_H32b zenon_H30e zenon_H206 zenon_H19d zenon_H360 zenon_H2f8 zenon_H1fd zenon_H301 zenon_H316 zenon_H186 zenon_H204 zenon_H179 zenon_H180 zenon_H21a zenon_H23b zenon_H358 zenon_H4b1 zenon_H270 zenon_H461 zenon_H29e zenon_H18a zenon_H236 zenon_H2e7 zenon_H2ad zenon_H1cc zenon_H2b9 zenon_H313 zenon_H155 zenon_H172 zenon_H1a0 zenon_H116 zenon_H388 zenon_H55 zenon_H3b7 zenon_H3b zenon_H401 zenon_H33 zenon_H3cb.
% 54.87/55.06 apply (zenon_or_s _ _ zenon_H43a); [ zenon_intro zenon_H97 | zenon_intro zenon_H43b ].
% 54.87/55.06 apply (zenon_L26_); trivial.
% 54.87/55.06 apply (zenon_or_s _ _ zenon_H43b); [ zenon_intro zenon_H38e | zenon_intro zenon_H43c ].
% 54.87/55.06 apply (zenon_L590_); trivial.
% 54.87/55.06 apply (zenon_or_s _ _ zenon_H43c); [ zenon_intro zenon_Hf6 | zenon_intro zenon_Hfb ].
% 54.87/55.06 apply (zenon_L621_); trivial.
% 54.87/55.06 apply (zenon_L450_); trivial.
% 54.87/55.06 (* end of lemma zenon_L677_ *)
% 54.87/55.06 assert (zenon_L678_ : (((op2 (e21) (e20)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/((op2 (e21) (e23)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> ((op2 (e20) (e20)) = (e23)) -> (((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e21)) = (e22))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> ((op2 (e20) (e21)) = (e21)) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> ((e22) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (e20))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> ((op2 (e21) (op2 (e21) (e22))) = (e22)) -> (~((op2 (e20) (e20)) = (op2 (e20) (e22)))) -> (((op2 (e20) (e22)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e23) (e22)) = (e23))))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> ((e20) = (op2 (e21) (e21))) -> ((op2 (e21) (e21)) = (e22)) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> ((e12) = (op1 (op1 (op1 (e11) (e11)) (op1 (e11) (e11))) (op1 (e11) (e11)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((e12) = (e13))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> ((op1 (e11) (op1 (e11) (e13))) = (e13)) -> ((e23) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((h2 (e13)) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((h2 (e11)) = (e21)) -> (~((h2 (op1 (e11) (e13))) = (op2 (h2 (e11)) (h2 (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e11)) = (e12))\/((op1 (e10) (e11)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e12) (e12)) = (e12))) -> (~((op1 (e12) (e13)) = (e12))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e12)) = (e11))) -> ((op1 (e11) (op1 (e11) (e10))) = (e10)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> ((op1 (e11) (op1 (e11) (e11))) = (e11)) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e12))\/((op1 (e11) (e10)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> ((op1 (e11) (op1 (e11) (e12))) = (e12)) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e11)) = (e11))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> ((op1 (e12) (e10)) = (e10)) -> ((op1 (e10) (e12)) = (e10)) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> ((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) -> ((e10) = (op1 (e11) (e11))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> False).
% 54.87/55.06 do 0 intro. intros zenon_H399 zenon_H45 zenon_H3cb zenon_H3b7 zenon_H55 zenon_H116 zenon_H9f zenon_H3b4 zenon_Hfc zenon_Ha8 zenon_H3b1 zenon_H39d zenon_Hb9 zenon_H282 zenon_H60 zenon_H3f zenon_H3af zenon_H489 zenon_Had zenon_H3c2 zenon_H3a8 zenon_H481 zenon_H98 zenon_H43a zenon_H437 zenon_H33 zenon_H401 zenon_H1a0 zenon_H172 zenon_H155 zenon_H313 zenon_H2b9 zenon_H1cc zenon_H2ad zenon_H2e7 zenon_H236 zenon_H18a zenon_H29e zenon_H3b zenon_H461 zenon_H270 zenon_H4b1 zenon_H358 zenon_H23b zenon_H21a zenon_H180 zenon_H179 zenon_H204 zenon_H186 zenon_H316 zenon_H301 zenon_H1fd zenon_H2f8 zenon_H360 zenon_H19d zenon_H206 zenon_H30e zenon_H32b zenon_H15a zenon_H2c2 zenon_H1d1 zenon_H27d zenon_H209 zenon_H154 zenon_H2b1 zenon_H1d8 zenon_H23f zenon_H292 zenon_H2a3 zenon_H1da zenon_H2a6 zenon_H2a5 zenon_H14b zenon_H15f zenon_H1b1 zenon_H1be zenon_H32e zenon_H375 zenon_H1ed zenon_H1fa zenon_H1a9 zenon_H473 zenon_H1de zenon_H293 zenon_H18f zenon_H474 zenon_H17 zenon_H1e zenon_H15 zenon_H13 zenon_H25.
% 54.87/55.06 apply (zenon_or_s _ _ zenon_H399); [ zenon_intro zenon_H44 | zenon_intro zenon_H39a ].
% 54.87/55.06 apply (zenon_L10_); trivial.
% 54.87/55.06 apply (zenon_or_s _ _ zenon_H39a); [ zenon_intro zenon_H388 | zenon_intro zenon_H39b ].
% 54.87/55.06 apply (zenon_L677_); trivial.
% 54.87/55.06 apply (zenon_or_s _ _ zenon_H39b); [ zenon_intro zenon_H38e | zenon_intro zenon_He9 ].
% 54.87/55.06 apply (zenon_L449_); trivial.
% 54.87/55.06 apply (zenon_L619_); trivial.
% 54.87/55.06 (* end of lemma zenon_L678_ *)
% 54.87/55.06 assert (zenon_L679_ : (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> ((op2 (e21) (op2 (e21) (e22))) = (e22)) -> ((op2 (e21) (e22)) = (e22)) -> ((op2 (e22) (e22)) = (e22)) -> False).
% 54.87/55.06 do 0 intro. intros zenon_H40c zenon_H481 zenon_Hd4 zenon_Hd6.
% 54.87/55.06 cut (((op2 (e21) (op2 (e21) (e22))) = (e22)) = ((op2 (e21) (e22)) = (op2 (e22) (e22)))).
% 54.87/55.06 intro zenon_D_pnotp.
% 54.87/55.06 apply zenon_H40c.
% 54.87/55.06 rewrite <- zenon_D_pnotp.
% 54.87/55.06 exact zenon_H481.
% 54.87/55.06 cut (((e22) = (op2 (e22) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H408].
% 54.87/55.06 cut (((op2 (e21) (op2 (e21) (e22))) = (op2 (e21) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H4ca].
% 54.87/55.06 congruence.
% 54.87/55.06 elim (classic ((op2 (e21) (e22)) = (op2 (e21) (e22)))); [ zenon_intro zenon_H7b | zenon_intro zenon_H7c ].
% 54.87/55.06 cut (((op2 (e21) (e22)) = (op2 (e21) (e22))) = ((op2 (e21) (op2 (e21) (e22))) = (op2 (e21) (e22)))).
% 54.87/55.06 intro zenon_D_pnotp.
% 54.87/55.06 apply zenon_H4ca.
% 54.87/55.06 rewrite <- zenon_D_pnotp.
% 54.87/55.06 exact zenon_H7b.
% 54.87/55.06 cut (((op2 (e21) (e22)) = (op2 (e21) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H7c].
% 54.87/55.06 cut (((op2 (e21) (e22)) = (op2 (e21) (op2 (e21) (e22))))); [idtac | apply NNPP; zenon_intro zenon_H4cb].
% 54.87/55.06 congruence.
% 54.87/55.06 cut (((e22) = (op2 (e21) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H40e].
% 54.87/55.06 cut (((e21) = (e21))); [idtac | apply NNPP; zenon_intro zenon_H26e].
% 54.87/55.06 congruence.
% 54.87/55.06 apply zenon_H26e. apply refl_equal.
% 54.87/55.06 apply zenon_H40e. apply sym_equal. exact zenon_Hd4.
% 54.87/55.06 apply zenon_H7c. apply refl_equal.
% 54.87/55.06 apply zenon_H7c. apply refl_equal.
% 54.87/55.06 apply zenon_H408. apply sym_equal. exact zenon_Hd6.
% 54.87/55.06 (* end of lemma zenon_L679_ *)
% 54.87/55.06 assert (zenon_L680_ : (~((op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21))) = (op2 (e21) (e22)))) -> ((op2 (e23) (e20)) = (e22)) -> ((e23) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((e20) = (op2 (e21) (e21))) -> ((op2 (e21) (e22)) = (e22)) -> False).
% 54.87/55.06 do 0 intro. intros zenon_H4cc zenon_H58 zenon_H3b zenon_H33 zenon_Hd4.
% 54.87/55.06 cut (((op2 (e23) (e20)) = (e22)) = ((op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21))) = (op2 (e21) (e22)))).
% 54.87/55.06 intro zenon_D_pnotp.
% 54.87/55.06 apply zenon_H4cc.
% 54.87/55.06 rewrite <- zenon_D_pnotp.
% 54.87/55.06 exact zenon_H58.
% 54.87/55.06 cut (((e22) = (op2 (e21) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H40e].
% 54.87/55.06 cut (((op2 (e23) (e20)) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21))))); [idtac | apply NNPP; zenon_intro zenon_H4cd].
% 54.87/55.06 congruence.
% 54.87/55.06 elim (classic ((op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21))) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21))))); [ zenon_intro zenon_H4ce | zenon_intro zenon_H4cf ].
% 54.87/55.06 cut (((op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21))) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) = ((op2 (e23) (e20)) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21))))).
% 54.87/55.06 intro zenon_D_pnotp.
% 54.87/55.06 apply zenon_H4cd.
% 54.87/55.06 rewrite <- zenon_D_pnotp.
% 54.87/55.06 exact zenon_H4ce.
% 54.87/55.06 cut (((op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21))) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21))))); [idtac | apply NNPP; zenon_intro zenon_H4cf].
% 54.87/55.06 cut (((op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21))) = (op2 (e23) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H3a].
% 54.87/55.06 congruence.
% 54.87/55.06 apply (zenon_L7_); trivial.
% 54.87/55.06 apply zenon_H4cf. apply refl_equal.
% 54.87/55.06 apply zenon_H4cf. apply refl_equal.
% 54.87/55.06 apply zenon_H40e. apply sym_equal. exact zenon_Hd4.
% 54.87/55.06 (* end of lemma zenon_L680_ *)
% 54.87/55.06 assert (zenon_L681_ : (~((op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21))) = (op2 (e20) (e23)))) -> ((e20) = (op2 (e21) (e21))) -> ((e23) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((op2 (e21) (e22)) = (e22)) -> ((op2 (e23) (e20)) = (e22)) -> ((op2 (e20) (e23)) = (e22)) -> False).
% 54.87/55.06 do 0 intro. intros zenon_H4d0 zenon_H33 zenon_H3b zenon_Hd4 zenon_H58 zenon_H464.
% 54.87/55.06 cut (((op2 (e21) (e22)) = (e22)) = ((op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21))) = (op2 (e20) (e23)))).
% 54.87/55.06 intro zenon_D_pnotp.
% 54.87/55.06 apply zenon_H4d0.
% 54.87/55.06 rewrite <- zenon_D_pnotp.
% 54.87/55.06 exact zenon_Hd4.
% 54.87/55.06 cut (((e22) = (op2 (e20) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H482].
% 54.87/55.06 cut (((op2 (e21) (e22)) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21))))); [idtac | apply NNPP; zenon_intro zenon_H4d1].
% 54.87/55.06 congruence.
% 54.87/55.06 elim (classic ((op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21))) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21))))); [ zenon_intro zenon_H4ce | zenon_intro zenon_H4cf ].
% 54.87/55.06 cut (((op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21))) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) = ((op2 (e21) (e22)) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21))))).
% 54.87/55.06 intro zenon_D_pnotp.
% 54.87/55.06 apply zenon_H4d1.
% 54.87/55.06 rewrite <- zenon_D_pnotp.
% 54.87/55.06 exact zenon_H4ce.
% 54.87/55.06 cut (((op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21))) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21))))); [idtac | apply NNPP; zenon_intro zenon_H4cf].
% 54.87/55.06 cut (((op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21))) = (op2 (e21) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H4cc].
% 54.87/55.06 congruence.
% 54.87/55.06 apply (zenon_L680_); trivial.
% 54.87/55.06 apply zenon_H4cf. apply refl_equal.
% 54.87/55.06 apply zenon_H4cf. apply refl_equal.
% 54.87/55.06 apply zenon_H482. apply sym_equal. exact zenon_H464.
% 54.87/55.06 (* end of lemma zenon_L681_ *)
% 54.87/55.06 assert (zenon_L682_ : ((e22) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> ((op2 (e22) (e23)) = (e22)) -> ((op2 (e20) (e23)) = (e22)) -> ((e20) = (op2 (e21) (e21))) -> ((e23) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((op2 (e21) (e22)) = (e22)) -> ((op2 (e23) (e20)) = (e22)) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> False).
% 54.87/55.06 do 0 intro. intros zenon_H3f zenon_He2 zenon_H464 zenon_H33 zenon_H3b zenon_Hd4 zenon_H58 zenon_H116.
% 54.87/55.06 elim (classic ((op2 (e22) (e23)) = (op2 (e22) (e23)))); [ zenon_intro zenon_H38a | zenon_intro zenon_H38b ].
% 54.87/55.06 cut (((op2 (e22) (e23)) = (op2 (e22) (e23))) = ((op2 (e20) (e23)) = (op2 (e22) (e23)))).
% 54.87/55.07 intro zenon_D_pnotp.
% 54.87/55.07 apply zenon_H116.
% 54.87/55.07 rewrite <- zenon_D_pnotp.
% 54.87/55.07 exact zenon_H38a.
% 54.87/55.07 cut (((op2 (e22) (e23)) = (op2 (e22) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H38b].
% 54.87/55.07 cut (((op2 (e22) (e23)) = (op2 (e20) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H38c].
% 54.87/55.07 congruence.
% 54.87/55.07 cut (((e22) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) = ((op2 (e22) (e23)) = (op2 (e20) (e23)))).
% 54.87/55.07 intro zenon_D_pnotp.
% 54.87/55.07 apply zenon_H38c.
% 54.87/55.07 rewrite <- zenon_D_pnotp.
% 54.87/55.07 exact zenon_H3f.
% 54.87/55.07 cut (((op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21))) = (op2 (e20) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H4d0].
% 54.87/55.07 cut (((e22) = (op2 (e22) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H3eb].
% 54.87/55.07 congruence.
% 54.87/55.07 elim (classic ((op2 (e22) (e23)) = (op2 (e22) (e23)))); [ zenon_intro zenon_H38a | zenon_intro zenon_H38b ].
% 54.87/55.07 cut (((op2 (e22) (e23)) = (op2 (e22) (e23))) = ((e22) = (op2 (e22) (e23)))).
% 54.87/55.07 intro zenon_D_pnotp.
% 54.87/55.07 apply zenon_H3eb.
% 54.87/55.07 rewrite <- zenon_D_pnotp.
% 54.87/55.07 exact zenon_H38a.
% 54.87/55.07 cut (((op2 (e22) (e23)) = (op2 (e22) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H38b].
% 54.87/55.07 cut (((op2 (e22) (e23)) = (e22))); [idtac | apply NNPP; zenon_intro zenon_H281].
% 54.87/55.07 congruence.
% 54.87/55.07 exact (zenon_H281 zenon_He2).
% 54.87/55.07 apply zenon_H38b. apply refl_equal.
% 54.87/55.07 apply zenon_H38b. apply refl_equal.
% 54.87/55.07 apply (zenon_L681_); trivial.
% 54.87/55.07 apply zenon_H38b. apply refl_equal.
% 54.87/55.07 apply zenon_H38b. apply refl_equal.
% 54.87/55.07 (* end of lemma zenon_L682_ *)
% 54.87/55.07 assert (zenon_L683_ : (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (e20))) -> ((op2 (e20) (e21)) = (e21)) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> ((op2 (e23) (e20)) = (e22)) -> ((op2 (e21) (e22)) = (e22)) -> ((op2 (e22) (e23)) = (e22)) -> ((e22) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> ((e23) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((e20) = (op2 (e21) (e21))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> False).
% 54.87/55.07 do 0 intro. intros zenon_H489 zenon_Had zenon_Hb9 zenon_H3c2 zenon_H116 zenon_H58 zenon_Hd4 zenon_He2 zenon_H3f zenon_H3b zenon_H33 zenon_H9f.
% 54.87/55.07 apply (zenon_or_s _ _ zenon_H489); [ zenon_intro zenon_H8b | zenon_intro zenon_H48a ].
% 54.87/55.07 exact (zenon_Had zenon_H8b).
% 54.87/55.07 apply (zenon_or_s _ _ zenon_H48a); [ zenon_intro zenon_H3c3 | zenon_intro zenon_H48b ].
% 54.87/55.07 apply (zenon_L352_); trivial.
% 54.87/55.07 apply (zenon_or_s _ _ zenon_H48b); [ zenon_intro zenon_H464 | zenon_intro zenon_H9e ].
% 54.87/55.07 apply (zenon_L682_); trivial.
% 54.87/55.07 apply (zenon_L27_); trivial.
% 54.87/55.07 (* end of lemma zenon_L683_ *)
% 54.87/55.07 assert (zenon_L684_ : (((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 (e21) (op2 (e21) (e22))) = (e22)) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (e20))) -> ((op2 (e20) (e21)) = (e21)) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> ((op2 (e23) (e20)) = (e22)) -> ((op2 (e21) (e22)) = (e22)) -> ((e22) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> ((e23) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((e20) = (op2 (e21) (e21))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> False).
% 54.87/55.07 do 0 intro. intros zenon_Hf1 zenon_Hb0 zenon_H286 zenon_H285 zenon_H481 zenon_H40c zenon_H489 zenon_Had zenon_Hb9 zenon_H3c2 zenon_H116 zenon_H58 zenon_Hd4 zenon_H3f zenon_H3b zenon_H33 zenon_H9f.
% 54.87/55.07 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_Hb1 | zenon_intro zenon_Hf3 ].
% 54.87/55.07 apply (zenon_L30_); trivial.
% 54.87/55.07 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_Hd3 | zenon_intro zenon_Hf4 ].
% 54.87/55.07 apply (zenon_L136_); trivial.
% 54.87/55.07 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_Hd6 | zenon_intro zenon_He2 ].
% 54.87/55.07 apply (zenon_L679_); trivial.
% 54.87/55.07 apply (zenon_L683_); trivial.
% 54.87/55.07 (* end of lemma zenon_L684_ *)
% 54.87/55.07 assert (zenon_L685_ : (((op1 (e10) (e12)) = (e10))/\(((op1 (e12) (e10)) = (e10))/\(((~((op1 (e12) (e10)) = (e12)))\/(~((op1 (e12) (e12)) = (e10))))/\(((~((op1 (e12) (e11)) = (e12)))\/(~((op1 (e12) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13))))))))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e20) (e21)) = (e23))\/(((op2 (e20) (e22)) = (e23))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e22)))) -> (((op2 (e21) (e20)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/((op2 (e21) (e23)) = (e23))))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op2 (e22) (e23)) = (e22))) -> (~((op2 (e21) (e22)) = (op2 (e21) (e23)))) -> ((op2 (e21) (op2 (e21) (e23))) = (e23)) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> ((op2 (e21) (op2 (e21) (e22))) = (e22)) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (((op2 (e22) (e22)) = (e20))\/(((op2 (e22) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e22)) = (e23))))) -> (~((op2 (e22) (e22)) = (e22))) -> (~((op2 (e22) (e22)) = (e21))) -> ((op2 (e22) (e20)) = (e20)) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> (~((e22) = (e23))) -> ((op2 (e22) (e21)) = (e22)) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> ((e22) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> (((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e21)) = (e22))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> ((op1 (e11) (op1 (e11) (e10))) = (e10)) -> (~((op1 (e12) (e12)) = (e11))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> ((op1 (e11) (op1 (e11) (e12))) = (e12)) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> ((h2 (e11)) = (e21)) -> ((h2 (e13)) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> (~((h2 (op1 (e11) (e13))) = (op2 (h2 (e11)) (h2 (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((e12) = (e13))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> ((op1 (e11) (op1 (e11) (e13))) = (e13)) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (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 (e12) (e11)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e11)) = (e12))\/((op1 (e10) (e11)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> ((e10) = (op1 (e11) (e11))) -> ((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) -> ((e12) = (op1 (op1 (op1 (e11) (e11)) (op1 (e11) (e11))) (op1 (e11) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e11) (e11)) = (e11))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e12))\/((op1 (e11) (e10)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> ((op1 (e11) (op1 (e11) (e11))) = (e11)) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e23) (e20)))) -> (((op2 (e22) (e20)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e22) (e23)) = (e23))))) -> ((e20) = (op2 (e21) (e21))) -> ((e23) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (~((op2 (e21) (e21)) = (e21))) -> (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> (~((e21) = (e22))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> (((op2 (e20) (e21)) = (e20))\/(((op2 (e20) (e21)) = (e21))\/(((op2 (e20) (e21)) = (e22))\/((op2 (e20) (e21)) = (e23))))) -> (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> False).
% 54.87/55.07 do 0 intro. intros zenon_H197 zenon_Ha5 zenon_H98 zenon_H399 zenon_H47e zenon_H6e zenon_H281 zenon_H47a zenon_H395 zenon_H47c zenon_H481 zenon_H3a8 zenon_H100 zenon_Hd7 zenon_H101 zenon_H121 zenon_H37d zenon_H11f zenon_Hec zenon_Hd3 zenon_H3b7 zenon_H39d zenon_H282 zenon_H60 zenon_H3f zenon_H3b1 zenon_Hfc zenon_H9f zenon_H1a0 zenon_H1e zenon_H1fa zenon_H1de zenon_H292 zenon_H23f zenon_H1da zenon_H32e zenon_H1ed zenon_H375 zenon_H209 zenon_H21a zenon_H2c2 zenon_H270 zenon_H461 zenon_H4b1 zenon_H358 zenon_H2ad zenon_H236 zenon_H32b zenon_H19d zenon_H316 zenon_H360 zenon_H1cc zenon_H18a zenon_H1fd zenon_H172 zenon_H29e zenon_H2f8 zenon_H301 zenon_H23b zenon_H204 zenon_H179 zenon_H180 zenon_H186 zenon_H17 zenon_H206 zenon_H2b9 zenon_H30e zenon_H25 zenon_H2e7 zenon_H15a zenon_H13 zenon_H15 zenon_H155 zenon_H154 zenon_H473 zenon_H15f zenon_H1a9 zenon_H14b zenon_H1be zenon_H1d8 zenon_H2a3 zenon_H2a5 zenon_H2a6 zenon_H2b1 zenon_H1b1 zenon_H313 zenon_H474 zenon_H116 zenon_H3af zenon_H3b4 zenon_H55 zenon_H3f1 zenon_H33 zenon_H3b zenon_H45 zenon_H28d zenon_Hf1 zenon_H27e zenon_Hb0 zenon_H8d zenon_H286 zenon_H93 zenon_H289 zenon_H28c.
% 54.87/55.07 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_H18f. zenon_intro zenon_H198.
% 54.87/55.07 apply (zenon_and_s _ _ zenon_H198). zenon_intro zenon_H293. zenon_intro zenon_H227.
% 54.87/55.07 apply (zenon_and_s _ _ zenon_H227). zenon_intro zenon_H229. zenon_intro zenon_H228.
% 54.87/55.07 apply (zenon_and_s _ _ zenon_H228). zenon_intro zenon_H22b. zenon_intro zenon_H22a.
% 54.87/55.07 apply (zenon_and_s _ _ zenon_H22a). zenon_intro zenon_H224. zenon_intro zenon_H22c.
% 54.87/55.07 apply (zenon_L626_); trivial.
% 54.87/55.07 (* end of lemma zenon_L685_ *)
% 54.87/55.07 assert (zenon_L686_ : ((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12)))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e20) (e21)) = (e23))\/(((op2 (e20) (e22)) = (e23))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e22)))) -> (((op2 (e21) (e20)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/((op2 (e21) (e23)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> (~((e22) = (e23))) -> ((op2 (e22) (e21)) = (e22)) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op2 (e22) (e23)) = (e22))) -> (~((op2 (e21) (e22)) = (op2 (e21) (e23)))) -> ((op2 (e21) (op2 (e21) (e23))) = (e23)) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> ((op2 (e21) (op2 (e21) (e22))) = (e22)) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (((op2 (e22) (e22)) = (e20))\/(((op2 (e22) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e22)) = (e23))))) -> (~((op2 (e22) (e22)) = (e22))) -> (~((op2 (e22) (e22)) = (e21))) -> ((op2 (e22) (e20)) = (e20)) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> (((op2 (e22) (e20)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e22) (e23)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((e12) = (e13))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> ((e12) = (op1 (op1 (op1 (e11) (e11)) (op1 (e11) (e11))) (op1 (e11) (e11)))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e11) (op1 (e11) (e12))) = (e12)) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((h2 (op1 (e11) (e13))) = (op2 (h2 (e11)) (h2 (e13))))) -> ((h2 (e13)) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((h2 (e11)) = (e21)) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> ((op1 (e10) (e11)) = (e11)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> ((op1 (e11) (op1 (e11) (e13))) = (e13)) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e10)) = (e12))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e13) (e10)) = (e12))))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e21)) = (e22))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> ((e22) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> ((e20) = (op2 (e21) (e21))) -> ((e23) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (~((op2 (e21) (e21)) = (e21))) -> (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> (~((e21) = (e22))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> (((op2 (e20) (e21)) = (e20))\/(((op2 (e20) (e21)) = (e21))\/(((op2 (e20) (e21)) = (e22))\/((op2 (e20) (e21)) = (e23))))) -> (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> ((e10) = (op1 (e11) (e11))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (~((op1 (e10) (e10)) = (e10))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> ((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> ((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))) -> False).
% 54.87/55.07 do 0 intro. intros zenon_H25e zenon_Ha5 zenon_H98 zenon_H399 zenon_H11f zenon_Hec zenon_Hd3 zenon_H47e zenon_H6e zenon_H281 zenon_H47a zenon_H395 zenon_H47c zenon_H481 zenon_H3a8 zenon_H100 zenon_Hd7 zenon_H101 zenon_H121 zenon_H37d zenon_H3f1 zenon_H9f zenon_H4c2 zenon_H2e7 zenon_H236 zenon_H2ad zenon_H209 zenon_H186 zenon_H180 zenon_H179 zenon_H154 zenon_H155 zenon_H21a zenon_H1fa zenon_H1f4 zenon_H375 zenon_H30e zenon_H485 zenon_H23b zenon_H204 zenon_H328 zenon_H15a zenon_H2c9 zenon_H18e zenon_H4b1 zenon_H461 zenon_H270 zenon_H2b9 zenon_H316 zenon_H360 zenon_H1cc zenon_H18a zenon_H1fd zenon_H1fe zenon_H172 zenon_H29e zenon_H2f8 zenon_H301 zenon_H32b zenon_H358 zenon_H2c2 zenon_H4c3 zenon_H116 zenon_H3b1 zenon_H3af zenon_H3f zenon_H60 zenon_H282 zenon_H39d zenon_H3b4 zenon_H33 zenon_H3b zenon_H45 zenon_H28d zenon_Hf1 zenon_H27e zenon_Hb0 zenon_H8d zenon_H286 zenon_H93 zenon_H289 zenon_H28c zenon_H246 zenon_H13 zenon_H19d zenon_H146 zenon_H1a0 zenon_H25 zenon_H1e zenon_H15 zenon_H17 zenon_H25d.
% 54.87/55.07 apply (zenon_or_s _ _ zenon_H25e); [ zenon_intro zenon_H458 | zenon_intro zenon_H4c4 ].
% 54.87/55.07 apply (zenon_L629_); trivial.
% 54.87/55.07 apply (zenon_or_s _ _ zenon_H25d); [ zenon_intro zenon_H25f | zenon_intro zenon_H1a1 ].
% 54.87/55.07 apply (zenon_or_s _ _ zenon_Ha5); [ zenon_intro zenon_Ha8 | zenon_intro zenon_Ha7 ].
% 54.87/55.07 apply (zenon_or_s _ _ zenon_H28c); [ zenon_intro zenon_Hb9 | zenon_intro zenon_H28e ].
% 54.87/55.07 apply (zenon_L645_); trivial.
% 54.87/55.07 apply (zenon_or_s _ _ zenon_H28e); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H28f ].
% 54.87/55.07 exact (zenon_H28d zenon_Hc3).
% 54.87/55.07 apply (zenon_or_s _ _ zenon_H28f); [ zenon_intro zenon_H27f | zenon_intro zenon_H283 ].
% 54.87/55.07 apply (zenon_L134_); trivial.
% 54.87/55.07 apply (zenon_L138_); trivial.
% 54.87/55.07 apply (zenon_or_s _ _ zenon_Ha7); [ zenon_intro zenon_H92 | zenon_intro zenon_Ha9 ].
% 54.87/55.07 apply (zenon_L25_); trivial.
% 54.87/55.07 apply (zenon_or_s _ _ zenon_Ha9); [ zenon_intro zenon_H97 | zenon_intro zenon_H9e ].
% 54.87/55.07 apply (zenon_L26_); trivial.
% 54.87/55.07 apply (zenon_L27_); trivial.
% 54.87/55.07 apply (zenon_L79_); trivial.
% 54.87/55.07 (* end of lemma zenon_L686_ *)
% 54.87/55.07 assert (zenon_L687_ : (((op1 (e11) (e10)) = (e11))/\(((op1 (e10) (e11)) = (e11))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11))))/\(((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12))))/\((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13))))))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> ((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> ((e10) = (op1 (e11) (e11))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> (((op2 (e20) (e21)) = (e20))\/(((op2 (e20) (e21)) = (e21))\/(((op2 (e20) (e21)) = (e22))\/((op2 (e20) (e21)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> (~((e21) = (e22))) -> (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> (~((op2 (e21) (e21)) = (e21))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> ((e23) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((e20) = (op2 (e21) (e21))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> ((e22) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e21)) = (e22))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e10)) = (e12))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e13) (e10)) = (e12))))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> ((op1 (e11) (op1 (e11) (e13))) = (e13)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> ((h2 (e11)) = (e21)) -> ((h2 (e13)) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> (~((h2 (op1 (e11) (e13))) = (op2 (h2 (e11)) (h2 (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> ((op1 (e11) (op1 (e11) (e12))) = (e12)) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> ((e12) = (op1 (op1 (op1 (e11) (e11)) (op1 (e11) (e11))) (op1 (e11) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((e12) = (e13))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (((op2 (e22) (e20)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e22) (e23)) = (e23))))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> ((op2 (e22) (e20)) = (e20)) -> (~((op2 (e22) (e22)) = (e21))) -> (~((op2 (e22) (e22)) = (e22))) -> (((op2 (e22) (e22)) = (e20))\/(((op2 (e22) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e22)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> ((op2 (e21) (op2 (e21) (e22))) = (e22)) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> ((op2 (e21) (op2 (e21) (e23))) = (e23)) -> (~((op2 (e21) (e22)) = (op2 (e21) (e23)))) -> (~((op2 (e22) (e23)) = (e22))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> ((op2 (e22) (e21)) = (e22)) -> (~((e22) = (e23))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> (((op2 (e21) (e20)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/((op2 (e21) (e23)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e22)))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e20) (e21)) = (e23))\/(((op2 (e20) (e22)) = (e23))\/((op2 (e20) (e23)) = (e23))))) -> False).
% 54.87/55.07 do 0 intro. intros zenon_H259 zenon_H17 zenon_H15 zenon_H1e zenon_H25 zenon_H1a0 zenon_H19d zenon_H13 zenon_H246 zenon_H28c zenon_H289 zenon_H93 zenon_H286 zenon_H8d zenon_Hb0 zenon_H27e zenon_Hf1 zenon_H28d zenon_H45 zenon_H3b zenon_H33 zenon_H3b4 zenon_H39d zenon_H282 zenon_H60 zenon_H3f zenon_H3af zenon_H3b1 zenon_H116 zenon_H4c3 zenon_H2c2 zenon_H358 zenon_H32b zenon_H301 zenon_H2f8 zenon_H29e zenon_H172 zenon_H1fd zenon_H18a zenon_H1cc zenon_H360 zenon_H316 zenon_H2b9 zenon_H270 zenon_H461 zenon_H4b1 zenon_H18e zenon_H2c9 zenon_H15a zenon_H328 zenon_H204 zenon_H23b zenon_H485 zenon_H30e zenon_H375 zenon_H1f4 zenon_H1fa zenon_H21a zenon_H155 zenon_H154 zenon_H179 zenon_H180 zenon_H186 zenon_H209 zenon_H2ad zenon_H236 zenon_H2e7 zenon_H4c2 zenon_H9f zenon_H3f1 zenon_H37d zenon_H121 zenon_H101 zenon_Hd7 zenon_H100 zenon_H3a8 zenon_H481 zenon_H47c zenon_H395 zenon_H47a zenon_H281 zenon_H6e zenon_H47e zenon_Hd3 zenon_Hec zenon_H11f zenon_H399 zenon_H98 zenon_Ha5.
% 54.87/55.07 apply (zenon_and_s _ _ zenon_H259). zenon_intro zenon_H163. zenon_intro zenon_H25a.
% 54.87/55.07 apply (zenon_and_s _ _ zenon_H25a). zenon_intro zenon_H1fe. zenon_intro zenon_H149.
% 54.87/55.07 apply (zenon_and_s _ _ zenon_H149). zenon_intro zenon_H144. zenon_intro zenon_H14a.
% 54.87/55.07 apply (zenon_and_s _ _ zenon_H14a). zenon_intro zenon_H25c. zenon_intro zenon_H25b.
% 54.87/55.07 apply (zenon_and_s _ _ zenon_H25b). zenon_intro zenon_H25e. zenon_intro zenon_H25d.
% 54.87/55.07 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_H146 | zenon_intro zenon_H146 ].
% 54.87/55.07 apply (zenon_L686_); trivial.
% 54.87/55.07 apply (zenon_L686_); trivial.
% 54.87/55.07 (* end of lemma zenon_L687_ *)
% 54.87/55.07 assert (zenon_L688_ : ((((op1 (e10) (e10)) = (e10))/\(((op1 (e10) (e10)) = (e10))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11))))/\(((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12))))/\((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))))))))\/((((op1 (e10) (e11)) = (e10))/\(((op1 (e11) (e10)) = (e10))/\(((~((op1 (e11) (e10)) = (e11)))\/(~((op1 (e11) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e11) (e12)) = (e11)))\/(~((op1 (e11) (e11)) = (e12))))/\((~((op1 (e11) (e13)) = (e11)))\/(~((op1 (e11) (e11)) = (e13)))))))))\/((((op1 (e10) (e12)) = (e10))/\(((op1 (e12) (e10)) = (e10))/\(((~((op1 (e12) (e10)) = (e12)))\/(~((op1 (e12) (e12)) = (e10))))/\(((~((op1 (e12) (e11)) = (e12)))\/(~((op1 (e12) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13)))))))))\/((((op1 (e10) (e13)) = (e10))/\(((op1 (e13) (e10)) = (e10))/\(((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e13) (e13)) = (e10))))/\(((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11))))/\(((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e13) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13)))))))))\/((((op1 (e11) (e10)) = (e11))/\(((op1 (e10) (e11)) = (e11))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11))))/\(((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12))))/\((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))))))))\/((((op1 (e11) (e11)) = (e11))/\(((op1 (e11) (e11)) = (e11))/\(((~((op1 (e11) (e10)) = (e11)))\/(~((op1 (e11) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e11) (e12)) = (e11)))\/(~((op1 (e11) (e11)) = (e12))))/\((~((op1 (e11) (e13)) = (e11)))\/(~((op1 (e11) (e11)) = (e13)))))))))\/((((op1 (e11) (e12)) = (e11))/\(((op1 (e12) (e11)) = (e11))/\(((~((op1 (e12) (e10)) = (e12)))\/(~((op1 (e12) (e12)) = (e10))))/\(((~((op1 (e12) (e11)) = (e12)))\/(~((op1 (e12) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13)))))))))\/((((op1 (e11) (e13)) = (e11))/\(((op1 (e13) (e11)) = (e11))/\(((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e13) (e13)) = (e10))))/\(((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11))))/\(((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e13) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13)))))))))\/((((op1 (e12) (e10)) = (e12))/\(((op1 (e10) (e12)) = (e12))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11))))/\(((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12))))/\((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))))))))\/((((op1 (e12) (e11)) = (e12))/\(((op1 (e11) (e12)) = (e12))/\(((~((op1 (e11) (e10)) = (e11)))\/(~((op1 (e11) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e11) (e12)) = (e11)))\/(~((op1 (e11) (e11)) = (e12))))/\((~((op1 (e11) (e13)) = (e11)))\/(~((op1 (e11) (e11)) = (e13)))))))))\/((((op1 (e12) (e12)) = (e12))/\(((op1 (e12) (e12)) = (e12))/\(((~((op1 (e12) (e10)) = (e12)))\/(~((op1 (e12) (e12)) = (e10))))/\(((~((op1 (e12) (e11)) = (e12)))\/(~((op1 (e12) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13)))))))))\/((((op1 (e12) (e13)) = (e12))/\(((op1 (e13) (e12)) = (e12))/\(((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e13) (e13)) = (e10))))/\(((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11))))/\(((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e13) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13)))))))))\/((((op1 (e13) (e10)) = (e13))/\(((op1 (e10) (e13)) = (e13))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11))))/\(((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12))))/\((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))))))))\/((((op1 (e13) (e11)) = (e13))/\(((op1 (e11) (e13)) = (e13))/\(((~((op1 (e11) (e10)) = (e11)))\/(~((op1 (e11) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e11) (e12)) = (e11)))\/(~((op1 (e11) (e11)) = (e12))))/\((~((op1 (e11) (e13)) = (e11)))\/(~((op1 (e11) (e11)) = (e13)))))))))\/((((op1 (e13) (e12)) = (e13))/\(((op1 (e12) (e13)) = (e13))/\(((~((op1 (e12) (e10)) = (e12)))\/(~((op1 (e12) (e12)) = (e10))))/\(((~((op1 (e12) (e11)) = (e12)))\/(~((op1 (e12) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13)))))))))\/(((op1 (e13) (e13)) = (e13))/\(((op1 (e13) (e13)) = (e13))/\(((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e13) (e13)) = (e10))))/\(((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11))))/\(((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e13) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13)))))))))))))))))))))))) -> (~((op2 (e20) (e20)) = (op2 (e23) (e20)))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e11) (e11)) = (e11))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e11)) = (e12))\/((op1 (e10) (e11)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((e10) = (e12))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e20) (e21)) = (e23))\/(((op2 (e20) (e22)) = (e23))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e22)))) -> (((op2 (e21) (e20)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/((op2 (e21) (e23)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> (~((e22) = (e23))) -> ((op2 (e22) (e21)) = (e22)) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op2 (e22) (e23)) = (e22))) -> (~((op2 (e21) (e22)) = (op2 (e21) (e23)))) -> ((op2 (e21) (op2 (e21) (e23))) = (e23)) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> ((op2 (e21) (op2 (e21) (e22))) = (e22)) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (((op2 (e22) (e22)) = (e20))\/(((op2 (e22) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e22)) = (e23))))) -> (~((op2 (e22) (e22)) = (e22))) -> (~((op2 (e22) (e22)) = (e21))) -> ((op2 (e22) (e20)) = (e20)) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> (((op2 (e22) (e20)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e22) (e23)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((e12) = (e13))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> ((op1 (e11) (op1 (e11) (e12))) = (e12)) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (~((h2 (op1 (e11) (e13))) = (op2 (h2 (e11)) (h2 (e13))))) -> ((h2 (e13)) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((h2 (e11)) = (e21)) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e10)) = (e12))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e13) (e10)) = (e12))))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e21)) = (e22))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> ((e22) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> ((e20) = (op2 (e21) (e21))) -> ((e23) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (~((op2 (e21) (e21)) = (e21))) -> (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> (~((e21) = (e22))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> (((op2 (e20) (e21)) = (e20))\/(((op2 (e20) (e21)) = (e21))\/(((op2 (e20) (e21)) = (e22))\/((op2 (e20) (e21)) = (e23))))) -> (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e12)) = (e11))) -> ((op1 (e11) (op1 (e11) (e10))) = (e10)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> ((op1 (e11) (op1 (e11) (e11))) = (e11)) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e13) (e13)) = (e11))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e13)) = (e10))\/(((op1 (e13) (e13)) = (e11))\/(((op1 (e13) (e13)) = (e12))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e12))\/((op1 (e11) (e10)) = (e13))))) -> ((e12) = (op1 (op1 (op1 (e11) (e11)) (op1 (e11) (e11))) (op1 (e11) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> ((op1 (e11) (op1 (e11) (e13))) = (e13)) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> ((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) -> ((e10) = (op1 (e11) (e11))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> False).
% 54.87/55.07 do 0 intro. intros zenon_H245 zenon_H55 zenon_H474 zenon_H313 zenon_H1b1 zenon_H473 zenon_H206 zenon_H1ed zenon_H32e zenon_H1de zenon_Hfc zenon_H3b7 zenon_H16c zenon_Ha5 zenon_H98 zenon_H399 zenon_H11f zenon_Hec zenon_Hd3 zenon_H47e zenon_H6e zenon_H281 zenon_H47a zenon_H395 zenon_H47c zenon_H481 zenon_H3a8 zenon_H100 zenon_Hd7 zenon_H101 zenon_H121 zenon_H37d zenon_H3f1 zenon_H9f zenon_H4c2 zenon_H2e7 zenon_H236 zenon_H209 zenon_H375 zenon_H30e zenon_H485 zenon_H23b zenon_H204 zenon_H328 zenon_H2c9 zenon_H4b1 zenon_H461 zenon_H270 zenon_H316 zenon_H360 zenon_H1fd zenon_H2f8 zenon_H301 zenon_H32b zenon_H358 zenon_H4c3 zenon_H116 zenon_H3b1 zenon_H3af zenon_H3f zenon_H60 zenon_H282 zenon_H39d zenon_H3b4 zenon_H33 zenon_H3b zenon_H45 zenon_H28d zenon_Hf1 zenon_H27e zenon_Hb0 zenon_H8d zenon_H286 zenon_H93 zenon_H289 zenon_H28c zenon_H246 zenon_H19d zenon_H1a9 zenon_H1a0 zenon_H1e zenon_H17 zenon_H18e zenon_H186 zenon_H172 zenon_H1da zenon_H1d8 zenon_H1cc zenon_H23f zenon_H292 zenon_H2a3 zenon_H2a5 zenon_H2a6 zenon_H2ad zenon_H2b1 zenon_H1fa zenon_H1be zenon_H18a zenon_H20d zenon_H180 zenon_H20c zenon_H21a zenon_H179 zenon_H25 zenon_H15f zenon_H155 zenon_H154 zenon_H14b zenon_H29e zenon_H2c0 zenon_H1f4 zenon_H15 zenon_H13 zenon_H2b9 zenon_H15a zenon_H2c2.
% 54.87/55.07 apply (zenon_or_s _ _ zenon_H245); [ zenon_intro zenon_H147 | zenon_intro zenon_H254 ].
% 54.87/55.07 apply (zenon_L60_); trivial.
% 54.87/55.07 apply (zenon_or_s _ _ zenon_H254); [ zenon_intro zenon_H164 | zenon_intro zenon_H255 ].
% 54.87/55.07 apply (zenon_L66_); trivial.
% 54.87/55.07 apply (zenon_or_s _ _ zenon_H255); [ zenon_intro zenon_H197 | zenon_intro zenon_H256 ].
% 54.87/55.07 apply (zenon_L685_); trivial.
% 54.87/55.07 apply (zenon_or_s _ _ zenon_H256); [ zenon_intro zenon_H199 | zenon_intro zenon_H257 ].
% 54.87/55.07 apply (zenon_L77_); trivial.
% 54.87/55.07 apply (zenon_or_s _ _ zenon_H257); [ zenon_intro zenon_H259 | zenon_intro zenon_H258 ].
% 54.87/55.07 apply (zenon_L687_); trivial.
% 54.87/55.07 apply (zenon_or_s _ _ zenon_H258); [ zenon_intro zenon_H1a5 | zenon_intro zenon_H262 ].
% 54.87/55.07 apply (zenon_L80_); trivial.
% 54.87/55.07 apply (zenon_or_s _ _ zenon_H262); [ zenon_intro zenon_H1ae | zenon_intro zenon_H263 ].
% 54.87/55.07 apply (zenon_L83_); trivial.
% 54.87/55.07 apply (zenon_or_s _ _ zenon_H263); [ zenon_intro zenon_H212 | zenon_intro zenon_H264 ].
% 54.87/55.07 apply (zenon_L161_); trivial.
% 54.87/55.07 apply (zenon_or_s _ _ zenon_H264); [ zenon_intro zenon_H220 | zenon_intro zenon_H265 ].
% 54.87/55.07 apply (zenon_L110_); trivial.
% 54.87/55.07 apply (zenon_or_s _ _ zenon_H265); [ zenon_intro zenon_H222 | zenon_intro zenon_H266 ].
% 54.87/55.07 apply (zenon_L111_); trivial.
% 54.87/55.07 apply (zenon_or_s _ _ zenon_H266); [ zenon_intro zenon_H225 | zenon_intro zenon_H267 ].
% 54.87/55.07 apply (zenon_L113_); trivial.
% 54.87/55.07 apply (zenon_or_s _ _ zenon_H267); [ zenon_intro zenon_H22d | zenon_intro zenon_H268 ].
% 54.87/55.07 apply (zenon_L114_); trivial.
% 54.87/55.07 apply (zenon_or_s _ _ zenon_H268); [ zenon_intro zenon_H230 | zenon_intro zenon_H269 ].
% 54.87/55.07 apply (zenon_L115_); trivial.
% 54.87/55.07 apply (zenon_or_s _ _ zenon_H269); [ zenon_intro zenon_H232 | zenon_intro zenon_H26a ].
% 54.87/55.07 apply (zenon_L116_); trivial.
% 54.87/55.07 apply (zenon_or_s _ _ zenon_H26a); [ zenon_intro zenon_H240 | zenon_intro zenon_H242 ].
% 54.87/55.07 apply (zenon_L166_); trivial.
% 54.87/55.07 apply (zenon_L125_); trivial.
% 54.87/55.07 (* end of lemma zenon_L688_ *)
% 54.87/55.07 assert (zenon_L689_ : ((~((op2 (e22) (e23)) = (e22)))\/(~((op2 (e22) (e22)) = (e23)))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e12))\/((op1 (e11) (e10)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> ((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) -> ((e12) = (op1 (op1 (op1 (e11) (e11)) (op1 (e11) (e11))) (op1 (e11) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((e10) = (e12))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e11)) = (e12))\/((op1 (e10) (e11)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (((op1 (e13) (e13)) = (e10))\/(((op1 (e13) (e13)) = (e11))\/(((op1 (e13) (e13)) = (e12))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (~((e12) = (e13))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> ((((op1 (e10) (e10)) = (e10))/\(((op1 (e10) (e10)) = (e10))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11))))/\(((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12))))/\((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))))))))\/((((op1 (e10) (e11)) = (e10))/\(((op1 (e11) (e10)) = (e10))/\(((~((op1 (e11) (e10)) = (e11)))\/(~((op1 (e11) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e11) (e12)) = (e11)))\/(~((op1 (e11) (e11)) = (e12))))/\((~((op1 (e11) (e13)) = (e11)))\/(~((op1 (e11) (e11)) = (e13)))))))))\/((((op1 (e10) (e12)) = (e10))/\(((op1 (e12) (e10)) = (e10))/\(((~((op1 (e12) (e10)) = (e12)))\/(~((op1 (e12) (e12)) = (e10))))/\(((~((op1 (e12) (e11)) = (e12)))\/(~((op1 (e12) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13)))))))))\/((((op1 (e10) (e13)) = (e10))/\(((op1 (e13) (e10)) = (e10))/\(((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e13) (e13)) = (e10))))/\(((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11))))/\(((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e13) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13)))))))))\/((((op1 (e11) (e10)) = (e11))/\(((op1 (e10) (e11)) = (e11))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11))))/\(((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12))))/\((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))))))))\/((((op1 (e11) (e11)) = (e11))/\(((op1 (e11) (e11)) = (e11))/\(((~((op1 (e11) (e10)) = (e11)))\/(~((op1 (e11) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e11) (e12)) = (e11)))\/(~((op1 (e11) (e11)) = (e12))))/\((~((op1 (e11) (e13)) = (e11)))\/(~((op1 (e11) (e11)) = (e13)))))))))\/((((op1 (e11) (e12)) = (e11))/\(((op1 (e12) (e11)) = (e11))/\(((~((op1 (e12) (e10)) = (e12)))\/(~((op1 (e12) (e12)) = (e10))))/\(((~((op1 (e12) (e11)) = (e12)))\/(~((op1 (e12) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13)))))))))\/((((op1 (e11) (e13)) = (e11))/\(((op1 (e13) (e11)) = (e11))/\(((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e13) (e13)) = (e10))))/\(((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11))))/\(((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e13) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13)))))))))\/((((op1 (e12) (e10)) = (e12))/\(((op1 (e10) (e12)) = (e12))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11))))/\(((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12))))/\((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))))))))\/((((op1 (e12) (e11)) = (e12))/\(((op1 (e11) (e12)) = (e12))/\(((~((op1 (e11) (e10)) = (e11)))\/(~((op1 (e11) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e11) (e12)) = (e11)))\/(~((op1 (e11) (e11)) = (e12))))/\((~((op1 (e11) (e13)) = (e11)))\/(~((op1 (e11) (e11)) = (e13)))))))))\/((((op1 (e12) (e12)) = (e12))/\(((op1 (e12) (e12)) = (e12))/\(((~((op1 (e12) (e10)) = (e12)))\/(~((op1 (e12) (e12)) = (e10))))/\(((~((op1 (e12) (e11)) = (e12)))\/(~((op1 (e12) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13)))))))))\/((((op1 (e12) (e13)) = (e12))/\(((op1 (e13) (e12)) = (e12))/\(((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e13) (e13)) = (e10))))/\(((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11))))/\(((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e13) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13)))))))))\/((((op1 (e13) (e10)) = (e13))/\(((op1 (e10) (e13)) = (e13))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11))))/\(((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12))))/\((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))))))))\/((((op1 (e13) (e11)) = (e13))/\(((op1 (e11) (e13)) = (e13))/\(((~((op1 (e11) (e10)) = (e11)))\/(~((op1 (e11) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e11) (e12)) = (e11)))\/(~((op1 (e11) (e11)) = (e12))))/\((~((op1 (e11) (e13)) = (e11)))\/(~((op1 (e11) (e11)) = (e13)))))))))\/((((op1 (e13) (e12)) = (e13))/\(((op1 (e12) (e13)) = (e13))/\(((~((op1 (e12) (e10)) = (e12)))\/(~((op1 (e12) (e12)) = (e10))))/\(((~((op1 (e12) (e11)) = (e12)))\/(~((op1 (e12) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13)))))))))\/(((op1 (e13) (e13)) = (e13))/\(((op1 (e13) (e13)) = (e13))/\(((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e13) (e13)) = (e10))))/\(((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11))))/\(((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e13) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13)))))))))))))))))))))))) -> ((e10) = (op1 (e11) (e11))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e10)) = (e12))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e13) (e10)) = (e12))))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e20) (e21)) = (e23))\/(((op2 (e20) (e22)) = (e23))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e22)))) -> (((op2 (e21) (e20)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/((op2 (e21) (e23)) = (e23))))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op2 (e21) (e22)) = (op2 (e21) (e23)))) -> ((op2 (e21) (op2 (e21) (e23))) = (e23)) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> ((op2 (e21) (op2 (e21) (e22))) = (e22)) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (((op2 (e22) (e22)) = (e20))\/(((op2 (e22) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e22)) = (e23))))) -> (~((op2 (e22) (e22)) = (e22))) -> (~((op2 (e22) (e22)) = (e21))) -> ((op2 (e22) (e20)) = (e20)) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> (~((e22) = (e23))) -> ((op2 (e22) (e21)) = (e22)) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> ((e22) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> (((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e21)) = (e22))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> ((h2 (e11)) = (e21)) -> ((h2 (e13)) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> (~((h2 (op1 (e11) (e13))) = (op2 (h2 (e11)) (h2 (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e23) (e20)))) -> (((op2 (e22) (e20)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e22) (e23)) = (e23))))) -> ((e20) = (op2 (e21) (e21))) -> ((e23) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (~((op2 (e21) (e21)) = (e21))) -> (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> (~((e21) = (e22))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> (((op2 (e20) (e21)) = (e20))\/(((op2 (e20) (e21)) = (e21))\/(((op2 (e20) (e21)) = (e22))\/((op2 (e20) (e21)) = (e23))))) -> (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> (((op1 (e10) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e12) (e11)) = (e13))))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e12) (e13)) = (e10))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> ((((op1 (e10) (op1 (e10) (e10))) = (e10))/\(((op1 (e10) (op1 (e10) (e11))) = (e11))/\(((op1 (e10) (op1 (e10) (e12))) = (e12))/\(((op1 (e10) (op1 (e10) (e13))) = (e13))/\(((~((op1 (e10) (e10)) = (e10)))\/((op1 (e10) (e10)) = (e10)))/\(((~((op1 (e11) (e11)) = (e10)))\/((op1 (e11) (e10)) = (e11)))/\(((~((op1 (e12) (e12)) = (e10)))\/((op1 (e12) (e10)) = (e12)))/\((~((op1 (e13) (e13)) = (e10)))\/((op1 (e13) (e10)) = (e13))))))))))\/((((op1 (e11) (op1 (e11) (e10))) = (e10))/\(((op1 (e11) (op1 (e11) (e11))) = (e11))/\(((op1 (e11) (op1 (e11) (e12))) = (e12))/\(((op1 (e11) (op1 (e11) (e13))) = (e13))/\(((~((op1 (e10) (e10)) = (e11)))\/((op1 (e10) (e11)) = (e10)))/\(((~((op1 (e11) (e11)) = (e11)))\/((op1 (e11) (e11)) = (e11)))/\(((~((op1 (e12) (e12)) = (e11)))\/((op1 (e12) (e11)) = (e12)))/\((~((op1 (e13) (e13)) = (e11)))\/((op1 (e13) (e11)) = (e13))))))))))\/((((op1 (e12) (op1 (e12) (e10))) = (e10))/\(((op1 (e12) (op1 (e12) (e11))) = (e11))/\(((op1 (e12) (op1 (e12) (e12))) = (e12))/\(((op1 (e12) (op1 (e12) (e13))) = (e13))/\(((~((op1 (e10) (e10)) = (e12)))\/((op1 (e10) (e12)) = (e10)))/\(((~((op1 (e11) (e11)) = (e12)))\/((op1 (e11) (e12)) = (e11)))/\(((~((op1 (e12) (e12)) = (e12)))\/((op1 (e12) (e12)) = (e12)))/\((~((op1 (e13) (e13)) = (e12)))\/((op1 (e13) (e12)) = (e13))))))))))\/(((op1 (e13) (op1 (e13) (e10))) = (e10))/\(((op1 (e13) (op1 (e13) (e11))) = (e11))/\(((op1 (e13) (op1 (e13) (e12))) = (e12))/\(((op1 (e13) (op1 (e13) (e13))) = (e13))/\(((~((op1 (e10) (e10)) = (e13)))\/((op1 (e10) (e13)) = (e10)))/\(((~((op1 (e11) (e11)) = (e13)))\/((op1 (e11) (e13)) = (e11)))/\(((~((op1 (e12) (e12)) = (e13)))\/((op1 (e12) (e13)) = (e12)))/\((~((op1 (e13) (e13)) = (e13)))\/((op1 (e13) (e13)) = (e13))))))))))))) -> False).
% 54.87/55.07 do 0 intro. intros zenon_Hdf zenon_H15f zenon_H15a zenon_H15 zenon_H155 zenon_H154 zenon_H14b zenon_H186 zenon_H180 zenon_H179 zenon_H172 zenon_H16c zenon_H18a zenon_H18e zenon_H192 zenon_H246 zenon_H19d zenon_H1a0 zenon_H25 zenon_H1e zenon_H17 zenon_H1a9 zenon_H209 zenon_H206 zenon_H204 zenon_H1fd zenon_H1fa zenon_H1f7 zenon_H1f4 zenon_H1ed zenon_H1e8 zenon_H1da zenon_H1d8 zenon_H1cc zenon_H1de zenon_H1b1 zenon_H1be zenon_H20c zenon_H21a zenon_H236 zenon_H23b zenon_H245 zenon_H13 zenon_H2c0 zenon_H4c3 zenon_H2c9 zenon_H328 zenon_H485 zenon_H4c2 zenon_Ha5 zenon_H98 zenon_H399 zenon_H47e zenon_H6e zenon_H47a zenon_H395 zenon_H47c zenon_H481 zenon_H3a8 zenon_H100 zenon_Hd7 zenon_H101 zenon_H121 zenon_H37d zenon_H11f zenon_Hec zenon_Hd3 zenon_H3b7 zenon_H39d zenon_H282 zenon_H60 zenon_H3f zenon_H3b1 zenon_Hfc zenon_H9f zenon_H32e zenon_H2c2 zenon_H270 zenon_H461 zenon_H4b1 zenon_H358 zenon_H2ad zenon_H32b zenon_H316 zenon_H360 zenon_H2f8 zenon_H301 zenon_H2b9 zenon_H30e zenon_H2e7 zenon_H2a3 zenon_H2a5 zenon_H2b1 zenon_H313 zenon_H474 zenon_H116 zenon_H3af zenon_H3b4 zenon_H55 zenon_H3f1 zenon_H33 zenon_H3b zenon_H45 zenon_H28d zenon_Hf1 zenon_H27e zenon_Hb0 zenon_H8d zenon_H286 zenon_H93 zenon_H289 zenon_H28c zenon_H2fd zenon_H2fb zenon_H2f6 zenon_H325 zenon_H322 zenon_H321 zenon_H30b zenon_H2ea zenon_H2e2 zenon_H2e6 zenon_H2d9 zenon_H2d1 zenon_H35d zenon_H345 zenon_H355 zenon_H36e.
% 54.87/55.07 apply (zenon_or_s _ _ zenon_Hdf); [ zenon_intro zenon_H281 | zenon_intro zenon_H37f ].
% 54.87/55.07 apply (zenon_or_s _ _ zenon_H36e); [ zenon_intro zenon_H244 | zenon_intro zenon_H36f ].
% 54.87/55.07 apply (zenon_L126_); trivial.
% 54.87/55.07 apply (zenon_or_s _ _ zenon_H36f); [ zenon_intro zenon_H371 | zenon_intro zenon_H370 ].
% 54.87/55.07 apply (zenon_and_s _ _ zenon_H371). zenon_intro zenon_H292. zenon_intro zenon_H372.
% 54.87/55.07 apply (zenon_and_s _ _ zenon_H372). zenon_intro zenon_H2a6. zenon_intro zenon_H373.
% 54.87/55.07 apply (zenon_and_s _ _ zenon_H373). zenon_intro zenon_H375. zenon_intro zenon_H374.
% 54.87/55.07 apply (zenon_and_s _ _ zenon_H374). zenon_intro zenon_H29e. zenon_intro zenon_H376.
% 54.87/55.07 apply (zenon_and_s _ _ zenon_H376). zenon_intro zenon_H378. zenon_intro zenon_H377.
% 54.87/55.07 apply (zenon_and_s _ _ zenon_H377). zenon_intro zenon_H37a. zenon_intro zenon_H379.
% 54.87/55.07 apply (zenon_and_s _ _ zenon_H379). zenon_intro zenon_H37c. zenon_intro zenon_H37b.
% 54.87/55.07 apply (zenon_or_s _ _ zenon_H37a); [ zenon_intro zenon_H473 | zenon_intro zenon_H1a7 ].
% 54.87/55.07 apply (zenon_or_s _ _ zenon_H37c); [ zenon_intro zenon_H23f | zenon_intro zenon_H202 ].
% 54.87/55.07 apply (zenon_or_s _ _ zenon_H37b); [ zenon_intro zenon_H20d | zenon_intro zenon_H1c3 ].
% 54.87/55.07 apply (zenon_L688_); trivial.
% 54.87/55.07 apply (zenon_or_s _ _ zenon_H245); [ zenon_intro zenon_H147 | zenon_intro zenon_H254 ].
% 54.87/55.07 apply (zenon_L60_); trivial.
% 54.87/55.07 apply (zenon_or_s _ _ zenon_H254); [ zenon_intro zenon_H164 | zenon_intro zenon_H255 ].
% 54.87/55.07 apply (zenon_L66_); trivial.
% 54.87/55.07 apply (zenon_or_s _ _ zenon_H255); [ zenon_intro zenon_H197 | zenon_intro zenon_H256 ].
% 54.87/55.07 apply (zenon_L685_); trivial.
% 54.87/55.07 apply (zenon_or_s _ _ zenon_H256); [ zenon_intro zenon_H199 | zenon_intro zenon_H257 ].
% 54.87/55.07 apply (zenon_L77_); trivial.
% 54.87/55.07 apply (zenon_or_s _ _ zenon_H257); [ zenon_intro zenon_H259 | zenon_intro zenon_H258 ].
% 54.87/55.07 apply (zenon_L687_); trivial.
% 54.87/55.07 apply (zenon_or_s _ _ zenon_H258); [ zenon_intro zenon_H1a5 | zenon_intro zenon_H262 ].
% 54.87/55.07 apply (zenon_L80_); trivial.
% 54.87/55.07 apply (zenon_or_s _ _ zenon_H262); [ zenon_intro zenon_H1ae | zenon_intro zenon_H263 ].
% 54.87/55.07 apply (zenon_L83_); trivial.
% 54.87/55.07 apply (zenon_or_s _ _ zenon_H263); [ zenon_intro zenon_H212 | zenon_intro zenon_H264 ].
% 54.87/55.07 apply (zenon_L167_); trivial.
% 54.87/55.07 apply (zenon_or_s _ _ zenon_H264); [ zenon_intro zenon_H220 | zenon_intro zenon_H265 ].
% 54.87/55.07 apply (zenon_L110_); trivial.
% 54.87/55.07 apply (zenon_or_s _ _ zenon_H265); [ zenon_intro zenon_H222 | zenon_intro zenon_H266 ].
% 54.87/55.07 apply (zenon_L111_); trivial.
% 54.87/55.07 apply (zenon_or_s _ _ zenon_H266); [ zenon_intro zenon_H225 | zenon_intro zenon_H267 ].
% 54.87/55.07 apply (zenon_L113_); trivial.
% 54.87/55.07 apply (zenon_or_s _ _ zenon_H267); [ zenon_intro zenon_H22d | zenon_intro zenon_H268 ].
% 54.87/55.07 apply (zenon_L114_); trivial.
% 54.87/55.07 apply (zenon_or_s _ _ zenon_H268); [ zenon_intro zenon_H230 | zenon_intro zenon_H269 ].
% 54.87/55.08 apply (zenon_L115_); trivial.
% 54.87/55.08 apply (zenon_or_s _ _ zenon_H269); [ zenon_intro zenon_H232 | zenon_intro zenon_H26a ].
% 54.87/55.08 apply (zenon_L116_); trivial.
% 54.87/55.08 apply (zenon_or_s _ _ zenon_H26a); [ zenon_intro zenon_H240 | zenon_intro zenon_H242 ].
% 54.87/55.08 apply (zenon_L166_); trivial.
% 54.87/55.08 apply (zenon_L125_); trivial.
% 54.87/55.08 apply (zenon_or_s _ _ zenon_H245); [ zenon_intro zenon_H147 | zenon_intro zenon_H254 ].
% 54.87/55.08 apply (zenon_L60_); trivial.
% 54.87/55.08 apply (zenon_or_s _ _ zenon_H254); [ zenon_intro zenon_H164 | zenon_intro zenon_H255 ].
% 54.87/55.08 apply (zenon_L66_); trivial.
% 54.87/55.08 apply (zenon_or_s _ _ zenon_H255); [ zenon_intro zenon_H197 | zenon_intro zenon_H256 ].
% 54.87/55.08 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_H18f. zenon_intro zenon_H198.
% 54.87/55.08 apply (zenon_and_s _ _ zenon_H198). zenon_intro zenon_H293. zenon_intro zenon_H227.
% 54.87/55.08 apply (zenon_and_s _ _ zenon_H227). zenon_intro zenon_H229. zenon_intro zenon_H228.
% 54.87/55.08 apply (zenon_and_s _ _ zenon_H228). zenon_intro zenon_H22b. zenon_intro zenon_H22a.
% 54.87/55.08 apply (zenon_and_s _ _ zenon_H22a). zenon_intro zenon_H224. zenon_intro zenon_H22c.
% 54.87/55.08 apply (zenon_or_s _ _ zenon_H22b); [ zenon_intro zenon_H23c | zenon_intro zenon_H23f ].
% 54.87/55.08 exact (zenon_H23c zenon_H202).
% 54.87/55.08 apply (zenon_L626_); trivial.
% 54.87/55.08 apply (zenon_or_s _ _ zenon_H256); [ zenon_intro zenon_H199 | zenon_intro zenon_H257 ].
% 54.87/55.08 apply (zenon_L77_); trivial.
% 54.87/55.08 apply (zenon_or_s _ _ zenon_H257); [ zenon_intro zenon_H259 | zenon_intro zenon_H258 ].
% 54.87/55.08 apply (zenon_L661_); trivial.
% 54.87/55.08 apply (zenon_or_s _ _ zenon_H258); [ zenon_intro zenon_H1a5 | zenon_intro zenon_H262 ].
% 54.87/55.08 apply (zenon_L80_); trivial.
% 54.87/55.08 apply (zenon_or_s _ _ zenon_H262); [ zenon_intro zenon_H1ae | zenon_intro zenon_H263 ].
% 54.87/55.08 apply (zenon_L83_); trivial.
% 54.87/55.08 apply (zenon_or_s _ _ zenon_H263); [ zenon_intro zenon_H212 | zenon_intro zenon_H264 ].
% 54.87/55.08 apply (zenon_L169_); trivial.
% 54.87/55.08 apply (zenon_or_s _ _ zenon_H264); [ zenon_intro zenon_H220 | zenon_intro zenon_H265 ].
% 54.87/55.08 apply (zenon_L110_); trivial.
% 54.87/55.08 apply (zenon_or_s _ _ zenon_H265); [ zenon_intro zenon_H222 | zenon_intro zenon_H266 ].
% 54.87/55.08 apply (zenon_L111_); trivial.
% 54.87/55.08 apply (zenon_or_s _ _ zenon_H266); [ zenon_intro zenon_H225 | zenon_intro zenon_H267 ].
% 54.87/55.08 apply (zenon_L113_); trivial.
% 54.87/55.08 apply (zenon_or_s _ _ zenon_H267); [ zenon_intro zenon_H22d | zenon_intro zenon_H268 ].
% 54.87/55.08 apply (zenon_L114_); trivial.
% 54.87/55.08 apply (zenon_or_s _ _ zenon_H268); [ zenon_intro zenon_H230 | zenon_intro zenon_H269 ].
% 54.87/55.08 apply (zenon_L115_); trivial.
% 54.87/55.08 apply (zenon_or_s _ _ zenon_H269); [ zenon_intro zenon_H232 | zenon_intro zenon_H26a ].
% 54.87/55.08 apply (zenon_L116_); trivial.
% 54.87/55.08 apply (zenon_or_s _ _ zenon_H26a); [ zenon_intro zenon_H240 | zenon_intro zenon_H242 ].
% 54.87/55.08 apply (zenon_L166_); trivial.
% 54.87/55.08 apply (zenon_L125_); trivial.
% 54.87/55.08 apply (zenon_L532_); trivial.
% 54.87/55.08 apply (zenon_or_s _ _ zenon_H370); [ zenon_intro zenon_H335 | zenon_intro zenon_H363 ].
% 54.87/55.08 apply (zenon_L260_); trivial.
% 54.87/55.08 apply (zenon_L307_); trivial.
% 54.87/55.08 apply (zenon_L310_); trivial.
% 54.87/55.08 (* end of lemma zenon_L689_ *)
% 54.87/55.08 assert (zenon_L690_ : (((op2 (e20) (e20)) = (e23))\/(((op2 (e20) (e21)) = (e23))\/(((op2 (e20) (e22)) = (e23))\/((op2 (e20) (e23)) = (e23))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> ((e10) = (op1 (e11) (e11))) -> ((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> ((op1 (e10) (e12)) = (e10)) -> ((op1 (e12) (e10)) = (e10)) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e11)) = (e11))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> ((op1 (e11) (op1 (e11) (e12))) = (e12)) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e12))\/((op1 (e11) (e10)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> ((op1 (e11) (op1 (e11) (e11))) = (e11)) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> ((op1 (e11) (op1 (e11) (e10))) = (e10)) -> (~((op1 (e12) (e12)) = (e11))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (~((op1 (e12) (e13)) = (e12))) -> (~((op1 (e12) (e12)) = (e12))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e11)) = (e12))\/((op1 (e10) (e11)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((h2 (op1 (e11) (e13))) = (op2 (h2 (e11)) (h2 (e13))))) -> ((h2 (e11)) = (e21)) -> ((h2 (e13)) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((op1 (e11) (op1 (e11) (e13))) = (e13)) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((e12) = (e13))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> ((e12) = (op1 (op1 (op1 (e11) (e11)) (op1 (e11) (e11))) (op1 (e11) (e11)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (((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))))) -> (~((op2 (e20) (e23)) = (e20))) -> ((op2 (e20) (e21)) = (e21)) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> ((op2 (e21) (op2 (e21) (e22))) = (e22)) -> (((op2 (e22) (e20)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e22) (e23)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> (~((e22) = (e23))) -> ((op2 (e22) (e21)) = (e22)) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> ((e22) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> (((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e21)) = (e22))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e23) (e20)))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (((op2 (e21) (e20)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/((op2 (e21) (e23)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e22)))) -> ((e23) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((e20) = (op2 (e21) (e21))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> False).
% 54.87/55.08 do 0 intro. intros zenon_Ha5 zenon_H25 zenon_H13 zenon_H15 zenon_H1e zenon_H17 zenon_H474 zenon_H18f zenon_H293 zenon_H1de zenon_H473 zenon_H1a9 zenon_H1fa zenon_H1ed zenon_H375 zenon_H32e zenon_H1be zenon_H1b1 zenon_H15f zenon_H14b zenon_H2a5 zenon_H2a6 zenon_H1da zenon_H2a3 zenon_H292 zenon_H23f zenon_H1d8 zenon_H2b1 zenon_H154 zenon_H209 zenon_H27d zenon_H1d1 zenon_H2c2 zenon_H15a zenon_H32b zenon_H30e zenon_H206 zenon_H19d zenon_H360 zenon_H2f8 zenon_H1fd zenon_H301 zenon_H316 zenon_H186 zenon_H204 zenon_H179 zenon_H180 zenon_H21a zenon_H23b zenon_H358 zenon_H4b1 zenon_H270 zenon_H461 zenon_H29e zenon_H18a zenon_H236 zenon_H2e7 zenon_H2ad zenon_H1cc zenon_H2b9 zenon_H313 zenon_H155 zenon_H172 zenon_H1a0 zenon_H489 zenon_Had zenon_Hb9 zenon_H3c2 zenon_H3a8 zenon_H481 zenon_H3f1 zenon_H11f zenon_Hec zenon_Hd3 zenon_H3af zenon_H3f zenon_H60 zenon_H282 zenon_H39d zenon_H3b1 zenon_Hfc zenon_H3b4 zenon_H55 zenon_H3b7 zenon_H116 zenon_H45 zenon_H399 zenon_H93 zenon_H98 zenon_H3b zenon_H33 zenon_H9f.
% 54.87/55.08 apply (zenon_or_s _ _ zenon_Ha5); [ zenon_intro zenon_Ha8 | zenon_intro zenon_Ha7 ].
% 54.87/55.08 apply (zenon_or_s _ _ zenon_H399); [ zenon_intro zenon_H44 | zenon_intro zenon_H39a ].
% 54.87/55.08 apply (zenon_L10_); trivial.
% 54.87/55.08 apply (zenon_or_s _ _ zenon_H39a); [ zenon_intro zenon_H388 | zenon_intro zenon_H39b ].
% 54.87/55.08 apply (zenon_L622_); trivial.
% 54.87/55.08 apply (zenon_or_s _ _ zenon_H39b); [ zenon_intro zenon_H38e | zenon_intro zenon_He9 ].
% 54.87/55.08 apply (zenon_L590_); trivial.
% 54.87/55.08 apply (zenon_L619_); trivial.
% 54.87/55.08 apply (zenon_or_s _ _ zenon_Ha7); [ zenon_intro zenon_H92 | zenon_intro zenon_Ha9 ].
% 54.87/55.08 apply (zenon_L25_); trivial.
% 54.87/55.08 apply (zenon_or_s _ _ zenon_Ha9); [ zenon_intro zenon_H97 | zenon_intro zenon_H9e ].
% 54.87/55.08 apply (zenon_L26_); trivial.
% 54.87/55.08 apply (zenon_L27_); trivial.
% 54.87/55.08 (* end of lemma zenon_L690_ *)
% 54.87/55.08 assert (zenon_L691_ : ((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13)))) -> (((op2 (e21) (e20)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/((op2 (e21) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (e20))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> ((op2 (e21) (op2 (e21) (e22))) = (e22)) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> (~((e22) = (e23))) -> ((op2 (e22) (e21)) = (e22)) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> ((op2 (e20) (e21)) = (e21)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> ((e22) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> (((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e21)) = (e22))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> ((op1 (e11) (op1 (e11) (e10))) = (e10)) -> ((op1 (e12) (e10)) = (e10)) -> ((op1 (e10) (e12)) = (e10)) -> (~((op1 (e12) (e12)) = (e11))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> ((op1 (e11) (op1 (e11) (e12))) = (e12)) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> ((h2 (e11)) = (e21)) -> ((h2 (e13)) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> (~((h2 (op1 (e11) (e13))) = (op2 (h2 (e11)) (h2 (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((e12) = (e13))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> ((op1 (e11) (op1 (e11) (e13))) = (e13)) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e12) (e12)) = (e12))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e11)) = (e12))\/((op1 (e10) (e11)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> ((e10) = (op1 (e11) (e11))) -> ((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) -> ((e12) = (op1 (op1 (op1 (e11) (e11)) (op1 (e11) (e11))) (op1 (e11) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e11) (e11)) = (e11))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e12))\/((op1 (e11) (e10)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> ((op1 (e11) (op1 (e11) (e11))) = (e11)) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e23) (e20)))) -> (((op2 (e22) (e20)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e22) (e23)) = (e23))))) -> ((e20) = (op2 (e21) (e21))) -> ((e23) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e22)))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e20) (e21)) = (e23))\/(((op2 (e20) (e22)) = (e23))\/((op2 (e20) (e23)) = (e23))))) -> False).
% 54.87/55.08 do 0 intro. intros zenon_H22c zenon_H399 zenon_Had zenon_H3c2 zenon_H3a8 zenon_H481 zenon_H489 zenon_H11f zenon_Hec zenon_Hd3 zenon_H3b7 zenon_H39d zenon_H282 zenon_Hb9 zenon_H60 zenon_H3f zenon_H3b1 zenon_Hfc zenon_H9f zenon_H1a0 zenon_H1e zenon_H1fa zenon_H1de zenon_H292 zenon_H293 zenon_H18f zenon_H23f zenon_H1da zenon_H32e zenon_H1ed zenon_H375 zenon_H209 zenon_H21a zenon_H2c2 zenon_H270 zenon_H461 zenon_H4b1 zenon_H358 zenon_H2ad zenon_H236 zenon_H32b zenon_H19d zenon_H316 zenon_H360 zenon_H1cc zenon_H18a zenon_H1fd zenon_H172 zenon_H29e zenon_H2f8 zenon_H301 zenon_H23b zenon_H1d1 zenon_H204 zenon_H179 zenon_H180 zenon_H186 zenon_H17 zenon_H206 zenon_H2b9 zenon_H30e zenon_H25 zenon_H2e7 zenon_H15a zenon_H13 zenon_H15 zenon_H155 zenon_H154 zenon_H473 zenon_H15f zenon_H1a9 zenon_H14b zenon_H1be zenon_H1d8 zenon_H2a3 zenon_H2a5 zenon_H2a6 zenon_H2b1 zenon_H1b1 zenon_H313 zenon_H474 zenon_H116 zenon_H3af zenon_H3b4 zenon_H55 zenon_H3f1 zenon_H33 zenon_H3b zenon_H45 zenon_H93 zenon_H98 zenon_Ha5.
% 54.87/55.08 apply (zenon_or_s _ _ zenon_H22c); [ zenon_intro zenon_H27d | zenon_intro zenon_H29d ].
% 54.87/55.08 apply (zenon_L690_); trivial.
% 54.87/55.08 apply (zenon_L144_); trivial.
% 54.87/55.08 (* end of lemma zenon_L691_ *)
% 54.87/55.08 assert (zenon_L692_ : ((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12)))) -> (((op2 (e21) (e20)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/((op2 (e21) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (e20))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> ((op2 (e21) (op2 (e21) (e22))) = (e22)) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((e12) = (e13))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> ((e12) = (op1 (op1 (op1 (e11) (e11)) (op1 (e11) (e11))) (op1 (e11) (e11)))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e11) (op1 (e11) (e12))) = (e12)) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((h2 (op1 (e11) (e13))) = (op2 (h2 (e11)) (h2 (e13))))) -> ((h2 (e13)) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((h2 (e11)) = (e21)) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> ((op1 (e10) (e11)) = (e11)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> ((op1 (e11) (op1 (e11) (e13))) = (e13)) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e10)) = (e12))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e13) (e10)) = (e12))))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e21)) = (e22))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> ((e22) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> ((op2 (e20) (e21)) = (e21)) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> ((e20) = (op2 (e21) (e21))) -> ((e23) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> ((e10) = (op1 (e11) (e11))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (~((op1 (e10) (e10)) = (e10))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> ((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> ((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))) -> False).
% 54.87/55.08 do 0 intro. intros zenon_H25e zenon_H399 zenon_Had zenon_H3c2 zenon_H3a8 zenon_H481 zenon_H489 zenon_H9f zenon_H4c2 zenon_H2e7 zenon_H236 zenon_H2ad zenon_H209 zenon_H186 zenon_H180 zenon_H179 zenon_H154 zenon_H155 zenon_H21a zenon_H1fa zenon_H1f4 zenon_H375 zenon_H30e zenon_H485 zenon_H23b zenon_H204 zenon_H328 zenon_H15a zenon_H2c9 zenon_H18e zenon_H4b1 zenon_H461 zenon_H270 zenon_H2b9 zenon_H316 zenon_H360 zenon_H1cc zenon_H18a zenon_H1fd zenon_H1fe zenon_H172 zenon_H29e zenon_H2f8 zenon_H301 zenon_H32b zenon_H358 zenon_H2c2 zenon_H4c3 zenon_H116 zenon_H3b1 zenon_H3af zenon_H3f zenon_H60 zenon_Hb9 zenon_H282 zenon_H39d zenon_H3b4 zenon_H33 zenon_H3b zenon_H45 zenon_H246 zenon_H13 zenon_H19d zenon_H146 zenon_H1a0 zenon_H25 zenon_H1e zenon_H15 zenon_H17 zenon_H25d.
% 54.87/55.08 apply (zenon_or_s _ _ zenon_H25e); [ zenon_intro zenon_H458 | zenon_intro zenon_H4c4 ].
% 54.87/55.08 apply (zenon_L629_); trivial.
% 54.87/55.08 apply (zenon_or_s _ _ zenon_H25d); [ zenon_intro zenon_H25f | zenon_intro zenon_H1a1 ].
% 54.87/55.08 apply (zenon_or_s _ _ zenon_H399); [ zenon_intro zenon_H44 | zenon_intro zenon_H39a ].
% 54.87/55.08 apply (zenon_L10_); trivial.
% 54.87/55.08 apply (zenon_or_s _ _ zenon_H39a); [ zenon_intro zenon_H388 | zenon_intro zenon_H39b ].
% 54.87/55.08 apply (zenon_L644_); trivial.
% 54.87/55.08 apply (zenon_or_s _ _ zenon_H39b); [ zenon_intro zenon_H38e | zenon_intro zenon_He9 ].
% 54.87/55.08 apply (zenon_L590_); trivial.
% 54.87/55.08 apply (zenon_L643_); trivial.
% 54.87/55.08 apply (zenon_L79_); trivial.
% 54.87/55.08 (* end of lemma zenon_L692_ *)
% 54.87/55.08 assert (zenon_L693_ : (((op1 (e11) (e10)) = (e11))/\(((op1 (e10) (e11)) = (e11))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11))))/\(((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12))))/\((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13))))))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> ((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> ((e10) = (op1 (e11) (e11))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> ((e23) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((e20) = (op2 (e21) (e21))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> ((op2 (e20) (e21)) = (e21)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> ((e22) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e21)) = (e22))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e10)) = (e12))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e13) (e10)) = (e12))))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> ((op1 (e11) (op1 (e11) (e13))) = (e13)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> ((h2 (e11)) = (e21)) -> ((h2 (e13)) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> (~((h2 (op1 (e11) (e13))) = (op2 (h2 (e11)) (h2 (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> ((op1 (e11) (op1 (e11) (e12))) = (e12)) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> ((e12) = (op1 (op1 (op1 (e11) (e11)) (op1 (e11) (e11))) (op1 (e11) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((e12) = (e13))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> ((op2 (e21) (op2 (e21) (e22))) = (e22)) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e23)) = (e20))) -> (((op2 (e21) (e20)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/((op2 (e21) (e23)) = (e23))))) -> False).
% 54.87/55.08 do 0 intro. intros zenon_H259 zenon_H17 zenon_H15 zenon_H1e zenon_H25 zenon_H1a0 zenon_H19d zenon_H13 zenon_H246 zenon_H45 zenon_H3b zenon_H33 zenon_H3b4 zenon_H39d zenon_H282 zenon_Hb9 zenon_H60 zenon_H3f zenon_H3af zenon_H3b1 zenon_H116 zenon_H4c3 zenon_H2c2 zenon_H358 zenon_H32b zenon_H301 zenon_H2f8 zenon_H29e zenon_H172 zenon_H1fd zenon_H18a zenon_H1cc zenon_H360 zenon_H316 zenon_H2b9 zenon_H270 zenon_H461 zenon_H4b1 zenon_H18e zenon_H2c9 zenon_H15a zenon_H328 zenon_H204 zenon_H23b zenon_H485 zenon_H30e zenon_H375 zenon_H1f4 zenon_H1fa zenon_H21a zenon_H155 zenon_H154 zenon_H179 zenon_H180 zenon_H186 zenon_H209 zenon_H2ad zenon_H236 zenon_H2e7 zenon_H4c2 zenon_H9f zenon_H489 zenon_H481 zenon_H3a8 zenon_H3c2 zenon_Had zenon_H399.
% 54.87/55.08 apply (zenon_and_s _ _ zenon_H259). zenon_intro zenon_H163. zenon_intro zenon_H25a.
% 54.87/55.08 apply (zenon_and_s _ _ zenon_H25a). zenon_intro zenon_H1fe. zenon_intro zenon_H149.
% 54.87/55.08 apply (zenon_and_s _ _ zenon_H149). zenon_intro zenon_H144. zenon_intro zenon_H14a.
% 54.87/55.08 apply (zenon_and_s _ _ zenon_H14a). zenon_intro zenon_H25c. zenon_intro zenon_H25b.
% 54.87/55.08 apply (zenon_and_s _ _ zenon_H25b). zenon_intro zenon_H25e. zenon_intro zenon_H25d.
% 54.87/55.08 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_H146 | zenon_intro zenon_H146 ].
% 54.87/55.08 apply (zenon_L692_); trivial.
% 54.87/55.08 apply (zenon_L692_); trivial.
% 54.87/55.08 (* end of lemma zenon_L693_ *)
% 54.87/55.08 assert (zenon_L694_ : ((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13)))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> ((e23) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((e20) = (op2 (e21) (e21))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> ((op2 (e20) (e21)) = (e21)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> ((e22) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e21)) = (e22))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> ((op1 (e11) (op1 (e11) (e10))) = (e10)) -> ((op1 (e12) (e10)) = (e10)) -> ((op1 (e10) (e12)) = (e10)) -> (~((op1 (e12) (e12)) = (e11))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> ((op1 (e11) (op1 (e11) (e12))) = (e12)) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> ((h2 (e11)) = (e21)) -> ((h2 (e13)) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> (~((h2 (op1 (e11) (e13))) = (op2 (h2 (e11)) (h2 (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((e12) = (e13))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> ((op1 (e11) (op1 (e11) (e13))) = (e13)) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e12) (e12)) = (e12))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e11)) = (e12))\/((op1 (e10) (e11)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> ((e10) = (op1 (e11) (e11))) -> ((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) -> ((e12) = (op1 (op1 (op1 (e11) (e11)) (op1 (e11) (e11))) (op1 (e11) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e11) (e11)) = (e11))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e12))\/((op1 (e11) (e10)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> ((op1 (e13) (e11)) = (e13)) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> ((op2 (e21) (op2 (e21) (e22))) = (e22)) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e23)) = (e20))) -> (((op2 (e21) (e20)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/((op2 (e21) (e23)) = (e23))))) -> False).
% 54.87/55.08 do 0 intro. intros zenon_H22c zenon_H45 zenon_H3b zenon_H33 zenon_H3b4 zenon_H39d zenon_H282 zenon_Hb9 zenon_H60 zenon_H3f zenon_H3af zenon_H3b1 zenon_H116 zenon_H1fa zenon_H1de zenon_H292 zenon_H293 zenon_H18f zenon_H23f zenon_H1da zenon_H32e zenon_H1ed zenon_H375 zenon_H209 zenon_H21a zenon_H2c2 zenon_H270 zenon_H461 zenon_H4b1 zenon_H358 zenon_H2ad zenon_H236 zenon_H32b zenon_H19d zenon_H316 zenon_H360 zenon_H1cc zenon_H18a zenon_H1fd zenon_H172 zenon_H29e zenon_H2f8 zenon_H301 zenon_H23b zenon_H1d1 zenon_H204 zenon_H179 zenon_H180 zenon_H186 zenon_H17 zenon_H206 zenon_H2b9 zenon_H30e zenon_H25 zenon_H2e7 zenon_H15a zenon_H13 zenon_H15 zenon_H155 zenon_H154 zenon_H473 zenon_H15f zenon_H1a9 zenon_H14b zenon_H1c3 zenon_H474 zenon_H9f zenon_H489 zenon_H481 zenon_H3a8 zenon_H3c2 zenon_Had zenon_H399.
% 54.87/55.08 apply (zenon_or_s _ _ zenon_H22c); [ zenon_intro zenon_H27d | zenon_intro zenon_H29d ].
% 54.87/55.08 apply (zenon_or_s _ _ zenon_H399); [ zenon_intro zenon_H44 | zenon_intro zenon_H39a ].
% 54.87/55.08 apply (zenon_L10_); trivial.
% 54.87/55.08 apply (zenon_or_s _ _ zenon_H39a); [ zenon_intro zenon_H388 | zenon_intro zenon_H39b ].
% 54.87/55.08 apply (zenon_L649_); trivial.
% 54.87/55.08 apply (zenon_or_s _ _ zenon_H39b); [ zenon_intro zenon_H38e | zenon_intro zenon_He9 ].
% 54.87/55.08 apply (zenon_L590_); trivial.
% 54.87/55.08 apply (zenon_L648_); trivial.
% 54.87/55.08 apply (zenon_L144_); trivial.
% 54.87/55.08 (* end of lemma zenon_L694_ *)
% 54.87/55.08 assert (zenon_L695_ : ((((op1 (e10) (e10)) = (e10))/\(((op1 (e10) (e10)) = (e10))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11))))/\(((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12))))/\((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))))))))\/((((op1 (e10) (e11)) = (e10))/\(((op1 (e11) (e10)) = (e10))/\(((~((op1 (e11) (e10)) = (e11)))\/(~((op1 (e11) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e11) (e12)) = (e11)))\/(~((op1 (e11) (e11)) = (e12))))/\((~((op1 (e11) (e13)) = (e11)))\/(~((op1 (e11) (e11)) = (e13)))))))))\/((((op1 (e10) (e12)) = (e10))/\(((op1 (e12) (e10)) = (e10))/\(((~((op1 (e12) (e10)) = (e12)))\/(~((op1 (e12) (e12)) = (e10))))/\(((~((op1 (e12) (e11)) = (e12)))\/(~((op1 (e12) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13)))))))))\/((((op1 (e10) (e13)) = (e10))/\(((op1 (e13) (e10)) = (e10))/\(((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e13) (e13)) = (e10))))/\(((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11))))/\(((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e13) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13)))))))))\/((((op1 (e11) (e10)) = (e11))/\(((op1 (e10) (e11)) = (e11))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11))))/\(((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12))))/\((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))))))))\/((((op1 (e11) (e11)) = (e11))/\(((op1 (e11) (e11)) = (e11))/\(((~((op1 (e11) (e10)) = (e11)))\/(~((op1 (e11) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e11) (e12)) = (e11)))\/(~((op1 (e11) (e11)) = (e12))))/\((~((op1 (e11) (e13)) = (e11)))\/(~((op1 (e11) (e11)) = (e13)))))))))\/((((op1 (e11) (e12)) = (e11))/\(((op1 (e12) (e11)) = (e11))/\(((~((op1 (e12) (e10)) = (e12)))\/(~((op1 (e12) (e12)) = (e10))))/\(((~((op1 (e12) (e11)) = (e12)))\/(~((op1 (e12) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13)))))))))\/((((op1 (e11) (e13)) = (e11))/\(((op1 (e13) (e11)) = (e11))/\(((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e13) (e13)) = (e10))))/\(((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11))))/\(((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e13) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13)))))))))\/((((op1 (e12) (e10)) = (e12))/\(((op1 (e10) (e12)) = (e12))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11))))/\(((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12))))/\((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))))))))\/((((op1 (e12) (e11)) = (e12))/\(((op1 (e11) (e12)) = (e12))/\(((~((op1 (e11) (e10)) = (e11)))\/(~((op1 (e11) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e11) (e12)) = (e11)))\/(~((op1 (e11) (e11)) = (e12))))/\((~((op1 (e11) (e13)) = (e11)))\/(~((op1 (e11) (e11)) = (e13)))))))))\/((((op1 (e12) (e12)) = (e12))/\(((op1 (e12) (e12)) = (e12))/\(((~((op1 (e12) (e10)) = (e12)))\/(~((op1 (e12) (e12)) = (e10))))/\(((~((op1 (e12) (e11)) = (e12)))\/(~((op1 (e12) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13)))))))))\/((((op1 (e12) (e13)) = (e12))/\(((op1 (e13) (e12)) = (e12))/\(((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e13) (e13)) = (e10))))/\(((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11))))/\(((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e13) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13)))))))))\/((((op1 (e13) (e10)) = (e13))/\(((op1 (e10) (e13)) = (e13))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11))))/\(((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12))))/\((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))))))))\/((((op1 (e13) (e11)) = (e13))/\(((op1 (e11) (e13)) = (e13))/\(((~((op1 (e11) (e10)) = (e11)))\/(~((op1 (e11) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e11) (e12)) = (e11)))\/(~((op1 (e11) (e11)) = (e12))))/\((~((op1 (e11) (e13)) = (e11)))\/(~((op1 (e11) (e11)) = (e13)))))))))\/((((op1 (e13) (e12)) = (e13))/\(((op1 (e12) (e13)) = (e13))/\(((~((op1 (e12) (e10)) = (e12)))\/(~((op1 (e12) (e12)) = (e10))))/\(((~((op1 (e12) (e11)) = (e12)))\/(~((op1 (e12) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13)))))))))\/(((op1 (e13) (e13)) = (e13))/\(((op1 (e13) (e13)) = (e13))/\(((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e13) (e13)) = (e10))))/\(((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11))))/\(((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e13) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13)))))))))))))))))))))))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> ((op1 (e11) (op1 (e11) (e10))) = (e10)) -> (~((op1 (e12) (e12)) = (e11))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e11)) = (e12))\/((op1 (e10) (e11)) = (e13))))) -> (~((op1 (e11) (e11)) = (e11))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (~((e10) = (e12))) -> (((op2 (e21) (e20)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/((op2 (e21) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (e20))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> ((op2 (e21) (op2 (e21) (e22))) = (e22)) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((e12) = (e13))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> ((op1 (e11) (op1 (e11) (e12))) = (e12)) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((h2 (op1 (e11) (e13))) = (op2 (h2 (e11)) (h2 (e13))))) -> ((h2 (e13)) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((h2 (e11)) = (e21)) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e10)) = (e12))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e13) (e10)) = (e12))))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e21)) = (e22))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> ((e22) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> ((op2 (e20) (e21)) = (e21)) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> ((e20) = (op2 (e21) (e21))) -> ((e23) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> ((op1 (e13) (e11)) = (e13)) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e12))\/((op1 (e11) (e10)) = (e13))))) -> ((e12) = (op1 (op1 (op1 (e11) (e11)) (op1 (e11) (e11))) (op1 (e11) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> ((op1 (e11) (op1 (e11) (e13))) = (e13)) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> ((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) -> ((e10) = (op1 (e11) (e11))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> False).
% 54.87/55.08 do 0 intro. intros zenon_H245 zenon_H1de zenon_H292 zenon_H23f zenon_H1da zenon_H32e zenon_H1ed zenon_H206 zenon_H473 zenon_H474 zenon_H16c zenon_H399 zenon_Had zenon_H3c2 zenon_H3a8 zenon_H481 zenon_H489 zenon_H9f zenon_H4c2 zenon_H2e7 zenon_H236 zenon_H2ad zenon_H209 zenon_H186 zenon_H180 zenon_H1fa zenon_H375 zenon_H30e zenon_H485 zenon_H23b zenon_H204 zenon_H328 zenon_H2c9 zenon_H18e zenon_H4b1 zenon_H461 zenon_H270 zenon_H316 zenon_H360 zenon_H1cc zenon_H1fd zenon_H172 zenon_H2f8 zenon_H301 zenon_H32b zenon_H358 zenon_H4c3 zenon_H116 zenon_H3b1 zenon_H3af zenon_H3f zenon_H60 zenon_Hb9 zenon_H282 zenon_H39d zenon_H3b4 zenon_H33 zenon_H3b zenon_H45 zenon_H246 zenon_H19d zenon_H1a0 zenon_H1e zenon_H17 zenon_H1a9 zenon_H1c3 zenon_H18a zenon_H21a zenon_H179 zenon_H25 zenon_H15f zenon_H155 zenon_H154 zenon_H14b zenon_H29e zenon_H2c0 zenon_H1f4 zenon_H15 zenon_H13 zenon_H2b9 zenon_H15a zenon_H2c2.
% 54.87/55.08 apply (zenon_or_s _ _ zenon_H245); [ zenon_intro zenon_H147 | zenon_intro zenon_H254 ].
% 54.87/55.08 apply (zenon_L60_); trivial.
% 54.87/55.08 apply (zenon_or_s _ _ zenon_H254); [ zenon_intro zenon_H164 | zenon_intro zenon_H255 ].
% 54.87/55.08 apply (zenon_L66_); trivial.
% 54.87/55.08 apply (zenon_or_s _ _ zenon_H255); [ zenon_intro zenon_H197 | zenon_intro zenon_H256 ].
% 54.87/55.08 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_H18f. zenon_intro zenon_H198.
% 54.87/55.08 apply (zenon_and_s _ _ zenon_H198). zenon_intro zenon_H293. zenon_intro zenon_H227.
% 54.87/55.08 apply (zenon_and_s _ _ zenon_H227). zenon_intro zenon_H229. zenon_intro zenon_H228.
% 54.87/55.08 apply (zenon_and_s _ _ zenon_H228). zenon_intro zenon_H22b. zenon_intro zenon_H22a.
% 54.87/55.08 apply (zenon_and_s _ _ zenon_H22a). zenon_intro zenon_H224. zenon_intro zenon_H22c.
% 54.87/55.08 apply (zenon_or_s _ _ zenon_H224); [ zenon_intro zenon_H1d1 | zenon_intro zenon_H1d1 ].
% 54.87/55.08 apply (zenon_L694_); trivial.
% 54.87/55.08 apply (zenon_L694_); trivial.
% 54.87/55.08 apply (zenon_or_s _ _ zenon_H256); [ zenon_intro zenon_H199 | zenon_intro zenon_H257 ].
% 54.87/55.08 apply (zenon_L77_); trivial.
% 54.87/55.08 apply (zenon_or_s _ _ zenon_H257); [ zenon_intro zenon_H259 | zenon_intro zenon_H258 ].
% 54.87/55.08 apply (zenon_L693_); trivial.
% 54.87/55.08 apply (zenon_or_s _ _ zenon_H258); [ zenon_intro zenon_H1a5 | zenon_intro zenon_H262 ].
% 54.87/55.08 apply (zenon_L80_); trivial.
% 54.87/55.08 apply (zenon_or_s _ _ zenon_H262); [ zenon_intro zenon_H1ae | zenon_intro zenon_H263 ].
% 54.87/55.08 apply (zenon_L83_); trivial.
% 54.87/55.08 apply (zenon_or_s _ _ zenon_H263); [ zenon_intro zenon_H212 | zenon_intro zenon_H264 ].
% 54.87/55.08 apply (zenon_L167_); trivial.
% 54.87/55.08 apply (zenon_or_s _ _ zenon_H264); [ zenon_intro zenon_H220 | zenon_intro zenon_H265 ].
% 54.87/55.08 apply (zenon_L110_); trivial.
% 54.87/55.08 apply (zenon_or_s _ _ zenon_H265); [ zenon_intro zenon_H222 | zenon_intro zenon_H266 ].
% 54.87/55.08 apply (zenon_L111_); trivial.
% 54.87/55.08 apply (zenon_or_s _ _ zenon_H266); [ zenon_intro zenon_H225 | zenon_intro zenon_H267 ].
% 54.87/55.08 apply (zenon_L113_); trivial.
% 54.87/55.08 apply (zenon_or_s _ _ zenon_H267); [ zenon_intro zenon_H22d | zenon_intro zenon_H268 ].
% 54.87/55.08 apply (zenon_L114_); trivial.
% 54.87/55.08 apply (zenon_or_s _ _ zenon_H268); [ zenon_intro zenon_H230 | zenon_intro zenon_H269 ].
% 54.87/55.08 apply (zenon_L115_); trivial.
% 54.87/55.08 apply (zenon_or_s _ _ zenon_H269); [ zenon_intro zenon_H232 | zenon_intro zenon_H26a ].
% 54.87/55.08 apply (zenon_L116_); trivial.
% 54.87/55.08 apply (zenon_or_s _ _ zenon_H26a); [ zenon_intro zenon_H240 | zenon_intro zenon_H242 ].
% 54.87/55.08 apply (zenon_L166_); trivial.
% 54.87/55.08 apply (zenon_L125_); trivial.
% 54.87/55.08 (* end of lemma zenon_L695_ *)
% 54.87/55.08 assert (zenon_L696_ : (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> ((e10) = (op1 (e11) (e11))) -> ((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> ((op1 (e10) (e12)) = (e10)) -> ((op1 (e12) (e10)) = (e10)) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e11)) = (e11))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> ((h2 (e13)) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((h2 (e11)) = (e21)) -> (~((h2 (op1 (e11) (e13))) = (op2 (h2 (e11)) (h2 (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> ((e12) = (op1 (op1 (op1 (e11) (e11)) (op1 (e11) (e11))) (op1 (e11) (e11)))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e12) (e12)) = (e12))) -> (~((op1 (e12) (e13)) = (e12))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> ((op1 (e11) (op1 (e11) (e12))) = (e12)) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e12))\/((op1 (e11) (e10)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> ((op1 (e11) (op1 (e11) (e11))) = (e11)) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> ((op1 (e11) (op1 (e11) (e10))) = (e10)) -> (~((op1 (e12) (e12)) = (e11))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e11)) = (e12))\/((op1 (e10) (e11)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e11) (e11)) = (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 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((e12) = (e13))) -> ((op1 (e12) (e11)) = (e12)) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> ((op1 (e11) (op1 (e11) (e13))) = (e13)) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> ((e20) = (op2 (e21) (e21))) -> ((op2 (e21) (e21)) = (e23)) -> ((e23) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> ((op2 (e23) (e21)) = (e23)) -> False).
% 54.87/55.08 do 0 intro. intros zenon_H3b4 zenon_H9f zenon_H25 zenon_H13 zenon_H15 zenon_H1e zenon_H17 zenon_H474 zenon_H18f zenon_H293 zenon_H1de zenon_H473 zenon_H1a9 zenon_H1fa zenon_H461 zenon_H270 zenon_H4b1 zenon_H358 zenon_H32b zenon_H23b zenon_H155 zenon_H21a zenon_H1d1 zenon_H27d zenon_H30e zenon_H186 zenon_H1ed zenon_H375 zenon_H32e zenon_H172 zenon_H179 zenon_H180 zenon_H1be zenon_H1b1 zenon_H15f zenon_H14b zenon_H2a5 zenon_H2a6 zenon_H1da zenon_H2a3 zenon_H292 zenon_H23f zenon_H1d8 zenon_H2b1 zenon_H154 zenon_H15a zenon_H206 zenon_H19d zenon_H360 zenon_H2f8 zenon_H1fd zenon_H301 zenon_H316 zenon_H204 zenon_H2c2 zenon_H313 zenon_H2b9 zenon_H1cc zenon_H2ad zenon_H2e7 zenon_H236 zenon_H202 zenon_H18a zenon_H29e zenon_H1a0 zenon_H116 zenon_H33 zenon_H388 zenon_H3b zenon_H3af zenon_He8.
% 54.87/55.08 apply (zenon_or_s _ _ zenon_H3b4); [ zenon_intro zenon_H9e | zenon_intro zenon_H3b5 ].
% 54.87/55.08 apply (zenon_L27_); trivial.
% 54.87/55.08 apply (zenon_or_s _ _ zenon_H3b5); [ zenon_intro zenon_He9 | zenon_intro zenon_H3b6 ].
% 54.87/55.08 apply (zenon_L655_); trivial.
% 54.87/55.08 apply (zenon_or_s _ _ zenon_H3b6); [ zenon_intro zenon_Heb | zenon_intro zenon_H106 ].
% 54.87/55.08 apply (zenon_L323_); trivial.
% 54.87/55.08 apply (zenon_L340_); trivial.
% 54.87/55.08 (* end of lemma zenon_L696_ *)
% 54.87/55.08 assert (zenon_L697_ : ((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13)))) -> (((op2 (e21) (e20)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/((op2 (e21) (e23)) = (e23))))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (~((op2 (e20) (e23)) = (e20))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> ((op2 (e20) (e21)) = (e21)) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> ((op2 (e21) (op2 (e21) (e22))) = (e22)) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> (~((e22) = (e23))) -> ((op2 (e22) (e21)) = (e22)) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> (((op2 (e20) (e21)) = (e20))\/(((op2 (e20) (e21)) = (e21))\/(((op2 (e20) (e21)) = (e22))\/((op2 (e20) (e21)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> ((e22) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> (((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e21)) = (e22))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> ((op1 (e11) (op1 (e11) (e10))) = (e10)) -> ((op1 (e12) (e10)) = (e10)) -> ((op1 (e10) (e12)) = (e10)) -> (~((op1 (e12) (e12)) = (e11))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> ((op1 (e11) (op1 (e11) (e12))) = (e12)) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e11)) = (e12))\/((op1 (e10) (e11)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e12) (e12)) = (e12))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> ((op1 (e11) (op1 (e11) (e13))) = (e13)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> ((op1 (e12) (e11)) = (e12)) -> (~((e12) = (e13))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((h2 (op1 (e11) (e13))) = (op2 (h2 (e11)) (h2 (e13))))) -> ((h2 (e13)) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((h2 (e11)) = (e21)) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> ((e10) = (op1 (e11) (e11))) -> ((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) -> ((e12) = (op1 (op1 (op1 (e11) (e11)) (op1 (e11) (e11))) (op1 (e11) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e11) (e11)) = (e11))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e12))\/((op1 (e11) (e10)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> ((op1 (e11) (op1 (e11) (e11))) = (e11)) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e23) (e20)))) -> (((op2 (e22) (e20)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e22) (e23)) = (e23))))) -> ((e20) = (op2 (e21) (e21))) -> ((e23) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e22)))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e20) (e21)) = (e23))\/(((op2 (e20) (e22)) = (e23))\/((op2 (e20) (e23)) = (e23))))) -> False).
% 54.87/55.08 do 0 intro. intros zenon_H22c zenon_H399 zenon_H209 zenon_Had zenon_H3c2 zenon_Hb9 zenon_H3a8 zenon_H481 zenon_H489 zenon_H11f zenon_Hec zenon_Hd3 zenon_H3b7 zenon_H39d zenon_H289 zenon_H93 zenon_H286 zenon_H282 zenon_H8d zenon_H60 zenon_H3f zenon_H3b1 zenon_Hfc zenon_H9f zenon_H1a0 zenon_H1e zenon_H1fa zenon_H1de zenon_H292 zenon_H293 zenon_H18f zenon_H23f zenon_H1da zenon_H375 zenon_H1ed zenon_H32e zenon_H15a zenon_H2e7 zenon_H25 zenon_H30e zenon_H2b9 zenon_H206 zenon_H17 zenon_H21a zenon_H186 zenon_H180 zenon_H179 zenon_H204 zenon_H1d1 zenon_H23b zenon_H301 zenon_H2f8 zenon_H29e zenon_H172 zenon_H1fd zenon_H18a zenon_H1cc zenon_H360 zenon_H316 zenon_H19d zenon_H32b zenon_H202 zenon_H236 zenon_H2ad zenon_H358 zenon_H4b1 zenon_H461 zenon_H270 zenon_H2c2 zenon_H13 zenon_H15 zenon_H155 zenon_H154 zenon_H473 zenon_H15f zenon_H1a9 zenon_H14b zenon_H1be zenon_H1d8 zenon_H2a3 zenon_H2a5 zenon_H2a6 zenon_H2b1 zenon_H1b1 zenon_H313 zenon_H474 zenon_H116 zenon_H3af zenon_H3b4 zenon_H55 zenon_H3f1 zenon_H33 zenon_H3b zenon_H45 zenon_H98 zenon_Ha5.
% 54.87/55.08 apply (zenon_or_s _ _ zenon_H22c); [ zenon_intro zenon_H27d | zenon_intro zenon_H29d ].
% 54.87/55.08 apply (zenon_or_s _ _ zenon_Ha5); [ zenon_intro zenon_Ha8 | zenon_intro zenon_Ha7 ].
% 54.87/55.08 apply (zenon_or_s _ _ zenon_H399); [ zenon_intro zenon_H44 | zenon_intro zenon_H39a ].
% 54.87/55.08 apply (zenon_L10_); trivial.
% 54.87/55.08 apply (zenon_or_s _ _ zenon_H39a); [ zenon_intro zenon_H388 | zenon_intro zenon_H39b ].
% 54.87/55.08 apply (zenon_or_s _ _ zenon_H3f1); [ zenon_intro zenon_H3df | zenon_intro zenon_H3f2 ].
% 54.87/55.08 apply (zenon_L364_); trivial.
% 54.87/55.08 apply (zenon_or_s _ _ zenon_H3f2); [ zenon_intro zenon_H3ba | zenon_intro zenon_H3f3 ].
% 54.87/55.08 apply (zenon_L350_); trivial.
% 54.87/55.08 apply (zenon_or_s _ _ zenon_H3f3); [ zenon_intro zenon_Hf6 | zenon_intro zenon_Heb ].
% 54.87/55.08 apply (zenon_or_s _ _ zenon_H3b7); [ zenon_intro zenon_He5 | zenon_intro zenon_H3b8 ].
% 54.87/55.08 apply (zenon_L335_); trivial.
% 54.87/55.08 apply (zenon_or_s _ _ zenon_H3b8); [ zenon_intro zenon_He8 | zenon_intro zenon_H3b9 ].
% 54.87/55.08 apply (zenon_L696_); trivial.
% 54.87/55.08 apply (zenon_or_s _ _ zenon_H3b9); [ zenon_intro zenon_Hfb | zenon_intro zenon_H106 ].
% 54.87/55.08 apply (zenon_L50_); trivial.
% 54.87/55.08 apply (zenon_L341_); trivial.
% 54.87/55.08 apply (zenon_L323_); trivial.
% 54.87/55.08 apply (zenon_or_s _ _ zenon_H39b); [ zenon_intro zenon_H38e | zenon_intro zenon_He9 ].
% 54.87/55.08 apply (zenon_L590_); trivial.
% 54.87/55.08 apply (zenon_L619_); trivial.
% 54.87/55.08 apply (zenon_or_s _ _ zenon_Ha7); [ zenon_intro zenon_H92 | zenon_intro zenon_Ha9 ].
% 54.87/55.08 apply (zenon_L25_); trivial.
% 54.87/55.08 apply (zenon_or_s _ _ zenon_Ha9); [ zenon_intro zenon_H97 | zenon_intro zenon_H9e ].
% 54.87/55.08 apply (zenon_L26_); trivial.
% 54.87/55.08 apply (zenon_L27_); trivial.
% 54.87/55.08 apply (zenon_L144_); trivial.
% 54.87/55.08 (* end of lemma zenon_L697_ *)
% 54.87/55.08 assert (zenon_L698_ : (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> ((h2 (e13)) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((h2 (e11)) = (e21)) -> (~((h2 (op1 (e11) (e13))) = (op2 (h2 (e11)) (h2 (e13))))) -> ((op1 (e11) (op1 (e11) (e12))) = (e12)) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((e12) = (e13))) -> ((op1 (e12) (e11)) = (e12)) -> ((op1 (e11) (op1 (e11) (e13))) = (e13)) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> ((op1 (e10) (e11)) = (e11)) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> ((e12) = (op1 (op1 (op1 (e11) (e11)) (op1 (e11) (e11))) (op1 (e11) (e11)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> ((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) -> ((e10) = (op1 (e11) (e11))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (e10))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e10)) = (e12))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e13) (e10)) = (e12))))) -> (~((op1 (e10) (e10)) = (e12))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> ((op2 (e21) (e21)) = (e23)) -> (((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e21)) = (e22))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> ((op2 (e20) (e21)) = (e21)) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> ((e23) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((e20) = (op2 (e21) (e21))) -> ((e22) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> False).
% 54.87/55.08 do 0 intro. intros zenon_H3b4 zenon_H9f zenon_H461 zenon_H270 zenon_H4b1 zenon_H375 zenon_H30e zenon_H2e7 zenon_H2ad zenon_H236 zenon_H202 zenon_H29e zenon_H360 zenon_H1cc zenon_H2f8 zenon_H1fe zenon_H1fd zenon_H172 zenon_H155 zenon_H18a zenon_H301 zenon_H316 zenon_H25 zenon_H32b zenon_H15 zenon_H13 zenon_H2b9 zenon_H15a zenon_H2c2 zenon_H1fa zenon_H154 zenon_H180 zenon_H179 zenon_H358 zenon_H186 zenon_H328 zenon_H25f zenon_H485 zenon_H1f4 zenon_H1e zenon_H2c9 zenon_H4c3 zenon_H4c4 zenon_H21a zenon_H204 zenon_H4c2 zenon_H116 zenon_H388 zenon_H3b1 zenon_H39d zenon_Hb9 zenon_H282 zenon_H60 zenon_H3b zenon_H33 zenon_H3f zenon_H3af.
% 54.87/55.08 apply (zenon_or_s _ _ zenon_H3b4); [ zenon_intro zenon_H9e | zenon_intro zenon_H3b5 ].
% 54.87/55.08 apply (zenon_L27_); trivial.
% 54.87/55.08 apply (zenon_or_s _ _ zenon_H3b5); [ zenon_intro zenon_He9 | zenon_intro zenon_H3b6 ].
% 54.87/55.08 apply (zenon_L658_); trivial.
% 54.87/55.08 apply (zenon_or_s _ _ zenon_H3b6); [ zenon_intro zenon_Heb | zenon_intro zenon_H106 ].
% 54.87/55.08 apply (zenon_L323_); trivial.
% 54.87/55.08 apply (zenon_L349_); trivial.
% 54.87/55.08 (* end of lemma zenon_L698_ *)
% 54.87/55.08 assert (zenon_L699_ : ((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12)))) -> (((op2 (e21) (e20)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/((op2 (e21) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (e20))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> ((op2 (e21) (op2 (e21) (e22))) = (e22)) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((e12) = (e13))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> ((op1 (e11) (op1 (e11) (e13))) = (e13)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> ((op1 (e10) (e11)) = (e11)) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> ((h2 (e11)) = (e21)) -> ((h2 (e13)) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> (~((h2 (op1 (e11) (e13))) = (op2 (h2 (e11)) (h2 (e13))))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> ((op1 (e11) (op1 (e11) (e12))) = (e12)) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (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 (op1 (op1 (e11) (e11)) (op1 (e11) (e11))) (op1 (e11) (e11)))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> ((op1 (e12) (e11)) = (e12)) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e10)) = (e12))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e13) (e10)) = (e12))))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e21)) = (e22))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> ((e22) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> ((op2 (e20) (e21)) = (e21)) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> ((e20) = (op2 (e21) (e21))) -> ((e23) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> ((e10) = (op1 (e11) (e11))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (~((op1 (e10) (e10)) = (e10))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> ((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> ((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))) -> False).
% 54.87/55.08 do 0 intro. intros zenon_H25e zenon_H399 zenon_Had zenon_H3c2 zenon_H3a8 zenon_H481 zenon_H489 zenon_H9f zenon_H4c2 zenon_H2c2 zenon_H358 zenon_H2ad zenon_H236 zenon_H32b zenon_H301 zenon_H2f8 zenon_H29e zenon_H172 zenon_H1fe zenon_H1fd zenon_H18a zenon_H1cc zenon_H360 zenon_H316 zenon_H2b9 zenon_H270 zenon_H461 zenon_H4b1 zenon_H2e7 zenon_H15a zenon_H186 zenon_H180 zenon_H179 zenon_H328 zenon_H30e zenon_H375 zenon_H1f4 zenon_H2c9 zenon_H485 zenon_H1fa zenon_H154 zenon_H155 zenon_H21a zenon_H204 zenon_H202 zenon_H4c3 zenon_H116 zenon_H3b1 zenon_H3af zenon_H3f zenon_H60 zenon_Hb9 zenon_H282 zenon_H39d zenon_H3b4 zenon_H33 zenon_H3b zenon_H45 zenon_H246 zenon_H13 zenon_H19d zenon_H146 zenon_H1a0 zenon_H25 zenon_H1e zenon_H15 zenon_H17 zenon_H25d.
% 54.87/55.08 apply (zenon_or_s _ _ zenon_H25e); [ zenon_intro zenon_H458 | zenon_intro zenon_H4c4 ].
% 54.87/55.08 apply (zenon_L629_); trivial.
% 54.87/55.08 apply (zenon_or_s _ _ zenon_H25d); [ zenon_intro zenon_H25f | zenon_intro zenon_H1a1 ].
% 54.87/55.08 apply (zenon_or_s _ _ zenon_H399); [ zenon_intro zenon_H44 | zenon_intro zenon_H39a ].
% 54.87/55.08 apply (zenon_L10_); trivial.
% 54.87/55.08 apply (zenon_or_s _ _ zenon_H39a); [ zenon_intro zenon_H388 | zenon_intro zenon_H39b ].
% 54.87/55.08 apply (zenon_L698_); trivial.
% 54.87/55.08 apply (zenon_or_s _ _ zenon_H39b); [ zenon_intro zenon_H38e | zenon_intro zenon_He9 ].
% 54.87/55.08 apply (zenon_L590_); trivial.
% 54.87/55.08 apply (zenon_L658_); trivial.
% 54.87/55.08 apply (zenon_L79_); trivial.
% 54.87/55.08 (* end of lemma zenon_L699_ *)
% 54.87/55.08 assert (zenon_L700_ : (((op1 (e11) (e10)) = (e11))/\(((op1 (e10) (e11)) = (e11))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11))))/\(((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12))))/\((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13))))))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> ((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> ((e10) = (op1 (e11) (e11))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> ((e23) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((e20) = (op2 (e21) (e21))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> ((op2 (e20) (e21)) = (e21)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> ((e22) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e21)) = (e22))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (((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)))) -> ((e12) = (op1 (op1 (op1 (e11) (e11)) (op1 (e11) (e11))) (op1 (e11) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e11) (op1 (e11) (e12))) = (e12)) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((h2 (op1 (e11) (e13))) = (op2 (h2 (e11)) (h2 (e13))))) -> ((h2 (e13)) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((h2 (e11)) = (e21)) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> ((op1 (e11) (op1 (e11) (e13))) = (e13)) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((e12) = (e13))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> ((op2 (e21) (op2 (e21) (e22))) = (e22)) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e23)) = (e20))) -> (((op2 (e21) (e20)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/((op2 (e21) (e23)) = (e23))))) -> False).
% 54.87/55.08 do 0 intro. intros zenon_H259 zenon_H17 zenon_H15 zenon_H1e zenon_H25 zenon_H1a0 zenon_H19d zenon_H13 zenon_H246 zenon_H45 zenon_H3b zenon_H33 zenon_H3b4 zenon_H39d zenon_H282 zenon_Hb9 zenon_H60 zenon_H3f zenon_H3af zenon_H3b1 zenon_H116 zenon_H4c3 zenon_H202 zenon_H204 zenon_H21a zenon_H155 zenon_H154 zenon_H1fa zenon_H485 zenon_H2c9 zenon_H1f4 zenon_H375 zenon_H30e zenon_H328 zenon_H179 zenon_H180 zenon_H186 zenon_H15a zenon_H2e7 zenon_H4b1 zenon_H461 zenon_H270 zenon_H2b9 zenon_H316 zenon_H360 zenon_H1cc zenon_H18a zenon_H1fd zenon_H172 zenon_H29e zenon_H2f8 zenon_H301 zenon_H32b zenon_H236 zenon_H2ad zenon_H358 zenon_H2c2 zenon_H4c2 zenon_H9f zenon_H489 zenon_H481 zenon_H3a8 zenon_H3c2 zenon_Had zenon_H399.
% 54.87/55.08 apply (zenon_and_s _ _ zenon_H259). zenon_intro zenon_H163. zenon_intro zenon_H25a.
% 54.87/55.08 apply (zenon_and_s _ _ zenon_H25a). zenon_intro zenon_H1fe. zenon_intro zenon_H149.
% 54.87/55.08 apply (zenon_and_s _ _ zenon_H149). zenon_intro zenon_H144. zenon_intro zenon_H14a.
% 54.87/55.08 apply (zenon_and_s _ _ zenon_H14a). zenon_intro zenon_H25c. zenon_intro zenon_H25b.
% 54.87/55.08 apply (zenon_and_s _ _ zenon_H25b). zenon_intro zenon_H25e. zenon_intro zenon_H25d.
% 54.87/55.08 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_H146 | zenon_intro zenon_H146 ].
% 54.87/55.08 apply (zenon_L699_); trivial.
% 54.87/55.08 apply (zenon_L699_); trivial.
% 54.87/55.08 (* end of lemma zenon_L700_ *)
% 54.87/55.08 assert (zenon_L701_ : ((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13)))) -> (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> (((op2 (e20) (e21)) = (e20))\/(((op2 (e20) (e21)) = (e21))\/(((op2 (e20) (e21)) = (e22))\/((op2 (e20) (e21)) = (e23))))) -> (~((e21) = (e22))) -> (~((op2 (e21) (e21)) = (e21))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> ((e23) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((e20) = (op2 (e21) (e21))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> ((op2 (e23) (e21)) = (e23)) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> ((op1 (e11) (op1 (e11) (e11))) = (e11)) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e12))\/((op1 (e11) (e10)) = (e13))))) -> (~((op1 (e11) (e11)) = (e11))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> ((e12) = (op1 (op1 (op1 (e11) (e11)) (op1 (e11) (e11))) (op1 (e11) (e11)))) -> ((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) -> ((e10) = (op1 (e11) (e11))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e11)) = (e12))\/((op1 (e10) (e11)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e12) (e12)) = (e12))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> ((op1 (e11) (op1 (e11) (e13))) = (e13)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((e12) = (e13))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((h2 (op1 (e11) (e13))) = (op2 (h2 (e11)) (h2 (e13))))) -> ((h2 (e13)) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((h2 (e11)) = (e21)) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> ((op1 (e11) (op1 (e11) (e12))) = (e12)) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (~((op1 (e12) (e12)) = (e11))) -> ((op1 (e10) (e12)) = (e10)) -> ((op1 (e12) (e10)) = (e10)) -> ((op1 (e11) (op1 (e11) (e10))) = (e10)) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (((op2 (e22) (e20)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e22) (e23)) = (e23))))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> ((op2 (e22) (e20)) = (e20)) -> (~((op2 (e22) (e22)) = (e21))) -> (~((op2 (e22) (e22)) = (e22))) -> (((op2 (e22) (e22)) = (e20))\/(((op2 (e22) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e22)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> ((op2 (e21) (op2 (e21) (e22))) = (e22)) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> ((e22) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> (((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e21)) = (e22))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> ((op2 (e21) (op2 (e21) (e23))) = (e23)) -> (~((op2 (e21) (e22)) = (op2 (e21) (e23)))) -> (~((op2 (e22) (e23)) = (e22))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> ((op2 (e22) (e21)) = (e22)) -> (~((e22) = (e23))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> (((op2 (e21) (e20)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/((op2 (e21) (e23)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e22)))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e20) (e21)) = (e23))\/(((op2 (e20) (e22)) = (e23))\/((op2 (e20) (e23)) = (e23))))) -> False).
% 54.87/55.08 do 0 intro. intros zenon_H22c zenon_H28c zenon_H8d zenon_H286 zenon_H93 zenon_H289 zenon_H27e zenon_H28d zenon_H45 zenon_H3b zenon_H33 zenon_H3b4 zenon_He8 zenon_H3af zenon_H116 zenon_H474 zenon_H313 zenon_H1b1 zenon_H2b1 zenon_H2a6 zenon_H2a5 zenon_H2a3 zenon_H1d8 zenon_H1be zenon_H14b zenon_H1a9 zenon_H15f zenon_H473 zenon_H154 zenon_H155 zenon_H15 zenon_H13 zenon_H15a zenon_H2e7 zenon_H25 zenon_H30e zenon_H2b9 zenon_H206 zenon_H17 zenon_H186 zenon_H180 zenon_H179 zenon_H204 zenon_H1d1 zenon_H23b zenon_H301 zenon_H2f8 zenon_H29e zenon_H172 zenon_H1fd zenon_H18a zenon_H1cc zenon_H360 zenon_H316 zenon_H19d zenon_H32b zenon_H236 zenon_H2ad zenon_H358 zenon_H4b1 zenon_H461 zenon_H270 zenon_H2c2 zenon_H21a zenon_H209 zenon_H375 zenon_H1ed zenon_H32e zenon_H1da zenon_H23f zenon_H18f zenon_H293 zenon_H292 zenon_H1de zenon_H1fa zenon_H1e zenon_H1a0 zenon_H9f zenon_H3f1 zenon_H37d zenon_H121 zenon_H101 zenon_Hd7 zenon_H100 zenon_H3a8 zenon_H481 zenon_H39d zenon_H282 zenon_H60 zenon_H3f zenon_H3b1 zenon_H47c zenon_H395 zenon_H47a zenon_H281 zenon_H6e zenon_H47e zenon_Hd3 zenon_Hec zenon_H11f zenon_H399 zenon_H98 zenon_Ha5.
% 54.87/55.08 apply (zenon_or_s _ _ zenon_H22c); [ zenon_intro zenon_H27d | zenon_intro zenon_H29d ].
% 54.87/55.08 apply (zenon_or_s _ _ zenon_Ha5); [ zenon_intro zenon_Ha8 | zenon_intro zenon_Ha7 ].
% 54.87/55.08 apply (zenon_or_s _ _ zenon_H28c); [ zenon_intro zenon_Hb9 | zenon_intro zenon_H28e ].
% 54.87/55.08 apply (zenon_or_s _ _ zenon_H399); [ zenon_intro zenon_H44 | zenon_intro zenon_H39a ].
% 54.87/55.08 apply (zenon_L10_); trivial.
% 54.87/55.08 apply (zenon_or_s _ _ zenon_H39a); [ zenon_intro zenon_H388 | zenon_intro zenon_H39b ].
% 54.87/55.08 apply (zenon_L620_); trivial.
% 54.87/55.08 apply (zenon_or_s _ _ zenon_H39b); [ zenon_intro zenon_H38e | zenon_intro zenon_He9 ].
% 54.87/55.08 apply (zenon_L519_); trivial.
% 54.87/55.08 apply (zenon_L619_); trivial.
% 54.87/55.08 apply (zenon_or_s _ _ zenon_H28e); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H28f ].
% 54.87/55.08 exact (zenon_H28d zenon_Hc3).
% 54.87/55.08 apply (zenon_or_s _ _ zenon_H28f); [ zenon_intro zenon_H27f | zenon_intro zenon_H283 ].
% 54.87/55.08 apply (zenon_L133_); trivial.
% 54.87/55.08 apply (zenon_L137_); trivial.
% 54.87/55.08 apply (zenon_or_s _ _ zenon_Ha7); [ zenon_intro zenon_H92 | zenon_intro zenon_Ha9 ].
% 54.87/55.08 apply (zenon_L25_); trivial.
% 54.87/55.08 apply (zenon_or_s _ _ zenon_Ha9); [ zenon_intro zenon_H97 | zenon_intro zenon_H9e ].
% 54.87/55.08 apply (zenon_L26_); trivial.
% 54.87/55.08 apply (zenon_L27_); trivial.
% 54.87/55.08 apply (zenon_L144_); trivial.
% 54.87/55.08 (* end of lemma zenon_L701_ *)
% 54.87/55.08 assert (zenon_L702_ : ((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13)))) -> (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> (((op2 (e20) (e21)) = (e20))\/(((op2 (e20) (e21)) = (e21))\/(((op2 (e20) (e21)) = (e22))\/((op2 (e20) (e21)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> (~((e21) = (e22))) -> (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> (~((op2 (e21) (e21)) = (e21))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> ((e23) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((e20) = (op2 (e21) (e21))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> ((op2 (e23) (e21)) = (e23)) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> ((op1 (e11) (op1 (e11) (e11))) = (e11)) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e12))\/((op1 (e11) (e10)) = (e13))))) -> (~((op1 (e11) (e11)) = (e11))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> ((e12) = (op1 (op1 (op1 (e11) (e11)) (op1 (e11) (e11))) (op1 (e11) (e11)))) -> ((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) -> ((e10) = (op1 (e11) (e11))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e11)) = (e12))\/((op1 (e10) (e11)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e12) (e12)) = (e12))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> ((op1 (e11) (op1 (e11) (e13))) = (e13)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((e12) = (e13))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((h2 (op1 (e11) (e13))) = (op2 (h2 (e11)) (h2 (e13))))) -> ((h2 (e13)) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((h2 (e11)) = (e21)) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> ((op1 (e11) (op1 (e11) (e12))) = (e12)) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (~((op1 (e12) (e12)) = (e11))) -> ((op1 (e10) (e12)) = (e10)) -> ((op1 (e12) (e10)) = (e10)) -> ((op1 (e11) (op1 (e11) (e10))) = (e10)) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (((op2 (e22) (e20)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e22) (e23)) = (e23))))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> ((op2 (e22) (e20)) = (e20)) -> (~((op2 (e22) (e22)) = (e21))) -> (~((op2 (e22) (e22)) = (e22))) -> (((op2 (e22) (e22)) = (e20))\/(((op2 (e22) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e22)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> ((op2 (e21) (op2 (e21) (e22))) = (e22)) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> ((e22) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> (((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e21)) = (e22))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> ((op2 (e21) (op2 (e21) (e23))) = (e23)) -> (~((op2 (e21) (e22)) = (op2 (e21) (e23)))) -> (~((op2 (e22) (e23)) = (e22))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> ((op2 (e22) (e21)) = (e22)) -> (~((e22) = (e23))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> ((op1 (e13) (e11)) = (e13)) -> (((op2 (e21) (e20)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/((op2 (e21) (e23)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e22)))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e20) (e21)) = (e23))\/(((op2 (e20) (e22)) = (e23))\/((op2 (e20) (e23)) = (e23))))) -> False).
% 54.87/55.08 do 0 intro. intros zenon_H22c zenon_H28c zenon_H289 zenon_H93 zenon_H286 zenon_H8d zenon_Hb0 zenon_H27e zenon_Hf1 zenon_H28d zenon_H45 zenon_H3b zenon_H33 zenon_H3b4 zenon_He8 zenon_H3af zenon_H116 zenon_H474 zenon_H313 zenon_H1b1 zenon_H2b1 zenon_H2a6 zenon_H2a5 zenon_H2a3 zenon_H1d8 zenon_H1be zenon_H14b zenon_H1a9 zenon_H15f zenon_H473 zenon_H154 zenon_H155 zenon_H15 zenon_H13 zenon_H15a zenon_H2e7 zenon_H25 zenon_H30e zenon_H2b9 zenon_H206 zenon_H17 zenon_H186 zenon_H180 zenon_H179 zenon_H204 zenon_H1d1 zenon_H23b zenon_H301 zenon_H2f8 zenon_H29e zenon_H172 zenon_H1fd zenon_H18a zenon_H1cc zenon_H360 zenon_H316 zenon_H19d zenon_H32b zenon_H236 zenon_H2ad zenon_H358 zenon_H4b1 zenon_H461 zenon_H270 zenon_H2c2 zenon_H21a zenon_H209 zenon_H375 zenon_H1ed zenon_H32e zenon_H1da zenon_H23f zenon_H18f zenon_H293 zenon_H292 zenon_H1de zenon_H1fa zenon_H1e zenon_H1a0 zenon_H9f zenon_H3f1 zenon_H37d zenon_H121 zenon_H101 zenon_Hd7 zenon_H100 zenon_H3a8 zenon_H481 zenon_H39d zenon_H282 zenon_H60 zenon_H3f zenon_H3b1 zenon_H47c zenon_H395 zenon_H47a zenon_H281 zenon_H6e zenon_H47e zenon_Hd3 zenon_Hec zenon_H11f zenon_H1c3 zenon_H399 zenon_H98 zenon_Ha5.
% 54.87/55.08 apply (zenon_or_s _ _ zenon_H22c); [ zenon_intro zenon_H27d | zenon_intro zenon_H29d ].
% 54.87/55.08 apply (zenon_or_s _ _ zenon_Ha5); [ zenon_intro zenon_Ha8 | zenon_intro zenon_Ha7 ].
% 54.87/55.08 apply (zenon_or_s _ _ zenon_H28c); [ zenon_intro zenon_Hb9 | zenon_intro zenon_H28e ].
% 54.87/55.08 apply (zenon_or_s _ _ zenon_H399); [ zenon_intro zenon_H44 | zenon_intro zenon_H39a ].
% 54.87/55.08 apply (zenon_L10_); trivial.
% 54.87/55.08 apply (zenon_or_s _ _ zenon_H39a); [ zenon_intro zenon_H388 | zenon_intro zenon_H39b ].
% 54.87/55.08 apply (zenon_L620_); trivial.
% 54.87/55.08 apply (zenon_or_s _ _ zenon_H39b); [ zenon_intro zenon_H38e | zenon_intro zenon_He9 ].
% 54.87/55.08 apply (zenon_L519_); trivial.
% 54.87/55.08 apply (zenon_L648_); trivial.
% 54.87/55.08 apply (zenon_or_s _ _ zenon_H28e); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H28f ].
% 54.87/55.08 exact (zenon_H28d zenon_Hc3).
% 54.87/55.08 apply (zenon_or_s _ _ zenon_H28f); [ zenon_intro zenon_H27f | zenon_intro zenon_H283 ].
% 54.87/55.08 apply (zenon_L134_); trivial.
% 54.87/55.08 apply (zenon_L138_); trivial.
% 54.87/55.08 apply (zenon_or_s _ _ zenon_Ha7); [ zenon_intro zenon_H92 | zenon_intro zenon_Ha9 ].
% 54.87/55.08 apply (zenon_L25_); trivial.
% 54.87/55.08 apply (zenon_or_s _ _ zenon_Ha9); [ zenon_intro zenon_H97 | zenon_intro zenon_H9e ].
% 54.87/55.08 apply (zenon_L26_); trivial.
% 54.87/55.08 apply (zenon_L27_); trivial.
% 54.87/55.08 apply (zenon_L144_); trivial.
% 54.87/55.08 (* end of lemma zenon_L702_ *)
% 54.87/55.08 assert (zenon_L703_ : ((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12)))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e20) (e21)) = (e23))\/(((op2 (e20) (e22)) = (e23))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e22)))) -> (((op2 (e21) (e20)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/((op2 (e21) (e23)) = (e23))))) -> ((op1 (e13) (e11)) = (e13)) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> (~((e22) = (e23))) -> ((op2 (e22) (e21)) = (e22)) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op2 (e22) (e23)) = (e22))) -> (~((op2 (e21) (e22)) = (op2 (e21) (e23)))) -> ((op2 (e21) (op2 (e21) (e23))) = (e23)) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e21)) = (e22))\/((op2 (e23) (e21)) = (e23))))) -> ((e22) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> ((op2 (e21) (op2 (e21) (e22))) = (e22)) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (((op2 (e22) (e22)) = (e20))\/(((op2 (e22) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e22)) = (e23))))) -> (~((op2 (e22) (e22)) = (e22))) -> (~((op2 (e22) (e22)) = (e21))) -> ((op2 (e22) (e20)) = (e20)) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> (((op2 (e22) (e20)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e22) (e23)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> ((op1 (e11) (op1 (e11) (e10))) = (e10)) -> ((op1 (e12) (e10)) = (e10)) -> ((op1 (e10) (e12)) = (e10)) -> (~((op1 (e12) (e12)) = (e11))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> ((op1 (e11) (op1 (e11) (e12))) = (e12)) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> ((h2 (e11)) = (e21)) -> ((h2 (e13)) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> (~((h2 (op1 (e11) (e13))) = (op2 (h2 (e11)) (h2 (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((e12) = (e13))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> ((op1 (e11) (op1 (e11) (e13))) = (e13)) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (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 (e12) (e11)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e11)) = (e12))\/((op1 (e10) (e11)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> ((e10) = (op1 (e11) (e11))) -> ((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) -> ((e12) = (op1 (op1 (op1 (e11) (e11)) (op1 (e11) (e11))) (op1 (e11) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e11) (e11)) = (e11))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e12))\/((op1 (e11) (e10)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> ((op1 (e11) (op1 (e11) (e11))) = (e11)) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> ((op2 (e23) (e21)) = (e23)) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> ((e20) = (op2 (e21) (e21))) -> ((e23) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (~((op2 (e21) (e21)) = (e21))) -> (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> (~((e21) = (e22))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> (((op2 (e20) (e21)) = (e20))\/(((op2 (e20) (e21)) = (e21))\/(((op2 (e20) (e21)) = (e22))\/((op2 (e20) (e21)) = (e23))))) -> (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> ((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13)))) -> False).
% 54.87/55.08 do 0 intro. intros zenon_H224 zenon_Ha5 zenon_H98 zenon_H399 zenon_H1c3 zenon_H11f zenon_Hec zenon_Hd3 zenon_H47e zenon_H6e zenon_H281 zenon_H47a zenon_H395 zenon_H47c zenon_H3b1 zenon_H3f zenon_H60 zenon_H282 zenon_H39d zenon_H481 zenon_H3a8 zenon_H100 zenon_Hd7 zenon_H101 zenon_H121 zenon_H37d zenon_H3f1 zenon_H9f zenon_H1a0 zenon_H1e zenon_H1fa zenon_H1de zenon_H292 zenon_H293 zenon_H18f zenon_H23f zenon_H1da zenon_H32e zenon_H1ed zenon_H375 zenon_H209 zenon_H21a zenon_H2c2 zenon_H270 zenon_H461 zenon_H4b1 zenon_H358 zenon_H2ad zenon_H236 zenon_H32b zenon_H19d zenon_H316 zenon_H360 zenon_H1cc zenon_H18a zenon_H1fd zenon_H172 zenon_H29e zenon_H2f8 zenon_H301 zenon_H23b zenon_H204 zenon_H179 zenon_H180 zenon_H186 zenon_H17 zenon_H206 zenon_H2b9 zenon_H30e zenon_H25 zenon_H2e7 zenon_H15a zenon_H13 zenon_H15 zenon_H155 zenon_H154 zenon_H473 zenon_H15f zenon_H1a9 zenon_H14b zenon_H1be zenon_H1d8 zenon_H2a3 zenon_H2a5 zenon_H2a6 zenon_H2b1 zenon_H1b1 zenon_H313 zenon_H474 zenon_H116 zenon_H3af zenon_He8 zenon_H3b4 zenon_H33 zenon_H3b zenon_H45 zenon_H28d zenon_Hf1 zenon_H27e zenon_Hb0 zenon_H8d zenon_H286 zenon_H93 zenon_H289 zenon_H28c zenon_H22c.
% 54.87/55.08 apply (zenon_or_s _ _ zenon_H224); [ zenon_intro zenon_H1d1 | zenon_intro zenon_H1d1 ].
% 54.87/55.08 apply (zenon_L702_); trivial.
% 54.87/55.08 apply (zenon_L702_); trivial.
% 54.87/55.08 (* end of lemma zenon_L703_ *)
% 54.87/55.08 assert (zenon_L704_ : ((((op1 (e10) (e10)) = (e10))/\(((op1 (e10) (e10)) = (e10))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11))))/\(((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12))))/\((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))))))))\/((((op1 (e10) (e11)) = (e10))/\(((op1 (e11) (e10)) = (e10))/\(((~((op1 (e11) (e10)) = (e11)))\/(~((op1 (e11) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e11) (e12)) = (e11)))\/(~((op1 (e11) (e11)) = (e12))))/\((~((op1 (e11) (e13)) = (e11)))\/(~((op1 (e11) (e11)) = (e13)))))))))\/((((op1 (e10) (e12)) = (e10))/\(((op1 (e12) (e10)) = (e10))/\(((~((op1 (e12) (e10)) = (e12)))\/(~((op1 (e12) (e12)) = (e10))))/\(((~((op1 (e12) (e11)) = (e12)))\/(~((op1 (e12) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13)))))))))\/((((op1 (e10) (e13)) = (e10))/\(((op1 (e13) (e10)) = (e10))/\(((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e13) (e13)) = (e10))))/\(((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11))))/\(((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e13) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13)))))))))\/((((op1 (e11) (e10)) = (e11))/\(((op1 (e10) (e11)) = (e11))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11))))/\(((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12))))/\((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))))))))\/((((op1 (e11) (e11)) = (e11))/\(((op1 (e11) (e11)) = (e11))/\(((~((op1 (e11) (e10)) = (e11)))\/(~((op1 (e11) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e11) (e12)) = (e11)))\/(~((op1 (e11) (e11)) = (e12))))/\((~((op1 (e11) (e13)) = (e11)))\/(~((op1 (e11) (e11)) = (e13)))))))))\/((((op1 (e11) (e12)) = (e11))/\(((op1 (e12) (e11)) = (e11))/\(((~((op1 (e12) (e10)) = (e12)))\/(~((op1 (e12) (e12)) = (e10))))/\(((~((op1 (e12) (e11)) = (e12)))\/(~((op1 (e12) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13)))))))))\/((((op1 (e11) (e13)) = (e11))/\(((op1 (e13) (e11)) = (e11))/\(((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e13) (e13)) = (e10))))/\(((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11))))/\(((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e13) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13)))))))))\/((((op1 (e12) (e10)) = (e12))/\(((op1 (e10) (e12)) = (e12))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11))))/\(((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12))))/\((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))))))))\/((((op1 (e12) (e11)) = (e12))/\(((op1 (e11) (e12)) = (e12))/\(((~((op1 (e11) (e10)) = (e11)))\/(~((op1 (e11) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e11) (e12)) = (e11)))\/(~((op1 (e11) (e11)) = (e12))))/\((~((op1 (e11) (e13)) = (e11)))\/(~((op1 (e11) (e11)) = (e13)))))))))\/((((op1 (e12) (e12)) = (e12))/\(((op1 (e12) (e12)) = (e12))/\(((~((op1 (e12) (e10)) = (e12)))\/(~((op1 (e12) (e12)) = (e10))))/\(((~((op1 (e12) (e11)) = (e12)))\/(~((op1 (e12) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13)))))))))\/((((op1 (e12) (e13)) = (e12))/\(((op1 (e13) (e12)) = (e12))/\(((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e13) (e13)) = (e10))))/\(((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11))))/\(((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e13) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13)))))))))\/((((op1 (e13) (e10)) = (e13))/\(((op1 (e10) (e13)) = (e13))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11))))/\(((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12))))/\((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))))))))\/((((op1 (e13) (e11)) = (e13))/\(((op1 (e11) (e13)) = (e13))/\(((~((op1 (e11) (e10)) = (e11)))\/(~((op1 (e11) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e11) (e12)) = (e11)))\/(~((op1 (e11) (e11)) = (e12))))/\((~((op1 (e11) (e13)) = (e11)))\/(~((op1 (e11) (e11)) = (e13)))))))))\/((((op1 (e13) (e12)) = (e13))/\(((op1 (e12) (e13)) = (e13))/\(((~((op1 (e12) (e10)) = (e12)))\/(~((op1 (e12) (e12)) = (e10))))/\(((~((op1 (e12) (e11)) = (e12)))\/(~((op1 (e12) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13)))))))))\/(((op1 (e13) (e13)) = (e13))/\(((op1 (e13) (e13)) = (e13))/\(((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e13) (e13)) = (e10))))/\(((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11))))/\(((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e13) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13)))))))))))))))))))))))) -> ((op2 (e23) (e21)) = (e23)) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> ((op1 (e11) (op1 (e11) (e11))) = (e11)) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e11) (e11)) = (e11))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e11)) = (e12))\/((op1 (e10) (e11)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (~((op1 (e12) (e12)) = (e11))) -> ((op1 (e11) (op1 (e11) (e10))) = (e10)) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((e10) = (e12))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e20) (e21)) = (e23))\/(((op2 (e20) (e22)) = (e23))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e22)))) -> (((op2 (e21) (e20)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/((op2 (e21) (e23)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> (~((e22) = (e23))) -> ((op2 (e22) (e21)) = (e22)) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op2 (e22) (e23)) = (e22))) -> (~((op2 (e21) (e22)) = (op2 (e21) (e23)))) -> ((op2 (e21) (op2 (e21) (e23))) = (e23)) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> ((op2 (e21) (op2 (e21) (e22))) = (e22)) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (((op2 (e22) (e22)) = (e20))\/(((op2 (e22) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e22)) = (e23))))) -> (~((op2 (e22) (e22)) = (e22))) -> (~((op2 (e22) (e22)) = (e21))) -> ((op2 (e22) (e20)) = (e20)) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> (((op2 (e22) (e20)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e22) (e23)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((e12) = (e13))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> ((op1 (e11) (op1 (e11) (e12))) = (e12)) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((h2 (op1 (e11) (e13))) = (op2 (h2 (e11)) (h2 (e13))))) -> ((h2 (e13)) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((h2 (e11)) = (e21)) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e10)) = (e12))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e13) (e10)) = (e12))))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e21)) = (e22))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> ((e22) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> ((e20) = (op2 (e21) (e21))) -> ((e23) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (~((op2 (e21) (e21)) = (e21))) -> (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> (~((e21) = (e22))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> (((op2 (e20) (e21)) = (e20))\/(((op2 (e20) (e21)) = (e21))\/(((op2 (e20) (e21)) = (e22))\/((op2 (e20) (e21)) = (e23))))) -> (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> ((op1 (e13) (e11)) = (e13)) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e12))\/((op1 (e11) (e10)) = (e13))))) -> ((e12) = (op1 (op1 (op1 (e11) (e11)) (op1 (e11) (e11))) (op1 (e11) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> ((op1 (e11) (op1 (e11) (e13))) = (e13)) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> ((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) -> ((e10) = (op1 (e11) (e11))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> False).
% 54.87/55.08 do 0 intro. intros zenon_H245 zenon_He8 zenon_H474 zenon_H313 zenon_H1b1 zenon_H2b1 zenon_H2a6 zenon_H2a5 zenon_H2a3 zenon_H1d8 zenon_H1be zenon_H473 zenon_H206 zenon_H1ed zenon_H32e zenon_H1da zenon_H23f zenon_H292 zenon_H1de zenon_H16c zenon_Ha5 zenon_H98 zenon_H399 zenon_H11f zenon_Hec zenon_Hd3 zenon_H47e zenon_H6e zenon_H281 zenon_H47a zenon_H395 zenon_H47c zenon_H481 zenon_H3a8 zenon_H100 zenon_Hd7 zenon_H101 zenon_H121 zenon_H37d zenon_H3f1 zenon_H9f zenon_H4c2 zenon_H2e7 zenon_H236 zenon_H2ad zenon_H209 zenon_H186 zenon_H180 zenon_H1fa zenon_H375 zenon_H30e zenon_H485 zenon_H23b zenon_H204 zenon_H328 zenon_H2c9 zenon_H18e zenon_H4b1 zenon_H461 zenon_H270 zenon_H316 zenon_H360 zenon_H1cc zenon_H1fd zenon_H172 zenon_H2f8 zenon_H301 zenon_H32b zenon_H358 zenon_H4c3 zenon_H116 zenon_H3b1 zenon_H3af zenon_H3f zenon_H60 zenon_H282 zenon_H39d zenon_H3b4 zenon_H33 zenon_H3b zenon_H45 zenon_H28d zenon_Hf1 zenon_H27e zenon_Hb0 zenon_H8d zenon_H286 zenon_H93 zenon_H289 zenon_H28c zenon_H246 zenon_H19d zenon_H1a0 zenon_H1e zenon_H17 zenon_H1a9 zenon_H1c3 zenon_H18a zenon_H21a zenon_H179 zenon_H25 zenon_H15f zenon_H155 zenon_H154 zenon_H14b zenon_H29e zenon_H2c0 zenon_H1f4 zenon_H15 zenon_H13 zenon_H2b9 zenon_H15a zenon_H2c2.
% 54.87/55.08 apply (zenon_or_s _ _ zenon_H245); [ zenon_intro zenon_H147 | zenon_intro zenon_H254 ].
% 54.87/55.08 apply (zenon_L60_); trivial.
% 54.87/55.09 apply (zenon_or_s _ _ zenon_H254); [ zenon_intro zenon_H164 | zenon_intro zenon_H255 ].
% 54.87/55.09 apply (zenon_L66_); trivial.
% 54.87/55.09 apply (zenon_or_s _ _ zenon_H255); [ zenon_intro zenon_H197 | zenon_intro zenon_H256 ].
% 54.87/55.09 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_H18f. zenon_intro zenon_H198.
% 54.87/55.09 apply (zenon_and_s _ _ zenon_H198). zenon_intro zenon_H293. zenon_intro zenon_H227.
% 54.87/55.09 apply (zenon_and_s _ _ zenon_H227). zenon_intro zenon_H229. zenon_intro zenon_H228.
% 54.87/55.09 apply (zenon_and_s _ _ zenon_H228). zenon_intro zenon_H22b. zenon_intro zenon_H22a.
% 54.87/55.09 apply (zenon_and_s _ _ zenon_H22a). zenon_intro zenon_H224. zenon_intro zenon_H22c.
% 54.87/55.09 apply (zenon_L703_); trivial.
% 54.87/55.09 apply (zenon_or_s _ _ zenon_H256); [ zenon_intro zenon_H199 | zenon_intro zenon_H257 ].
% 54.87/55.09 apply (zenon_L77_); trivial.
% 54.87/55.09 apply (zenon_or_s _ _ zenon_H257); [ zenon_intro zenon_H259 | zenon_intro zenon_H258 ].
% 54.87/55.09 apply (zenon_L687_); trivial.
% 54.87/55.09 apply (zenon_or_s _ _ zenon_H258); [ zenon_intro zenon_H1a5 | zenon_intro zenon_H262 ].
% 54.87/55.09 apply (zenon_L80_); trivial.
% 54.87/55.09 apply (zenon_or_s _ _ zenon_H262); [ zenon_intro zenon_H1ae | zenon_intro zenon_H263 ].
% 54.87/55.09 apply (zenon_L83_); trivial.
% 54.87/55.09 apply (zenon_or_s _ _ zenon_H263); [ zenon_intro zenon_H212 | zenon_intro zenon_H264 ].
% 54.87/55.09 apply (zenon_L167_); trivial.
% 54.87/55.09 apply (zenon_or_s _ _ zenon_H264); [ zenon_intro zenon_H220 | zenon_intro zenon_H265 ].
% 54.87/55.09 apply (zenon_L110_); trivial.
% 54.87/55.09 apply (zenon_or_s _ _ zenon_H265); [ zenon_intro zenon_H222 | zenon_intro zenon_H266 ].
% 54.87/55.09 apply (zenon_L111_); trivial.
% 54.87/55.09 apply (zenon_or_s _ _ zenon_H266); [ zenon_intro zenon_H225 | zenon_intro zenon_H267 ].
% 54.87/55.09 apply (zenon_L113_); trivial.
% 54.87/55.09 apply (zenon_or_s _ _ zenon_H267); [ zenon_intro zenon_H22d | zenon_intro zenon_H268 ].
% 54.87/55.09 apply (zenon_L114_); trivial.
% 54.87/55.09 apply (zenon_or_s _ _ zenon_H268); [ zenon_intro zenon_H230 | zenon_intro zenon_H269 ].
% 54.87/55.09 apply (zenon_L115_); trivial.
% 54.87/55.09 apply (zenon_or_s _ _ zenon_H269); [ zenon_intro zenon_H232 | zenon_intro zenon_H26a ].
% 54.87/55.09 apply (zenon_L116_); trivial.
% 54.87/55.09 apply (zenon_or_s _ _ zenon_H26a); [ zenon_intro zenon_H240 | zenon_intro zenon_H242 ].
% 54.87/55.09 apply (zenon_L166_); trivial.
% 54.87/55.09 apply (zenon_L125_); trivial.
% 54.87/55.09 (* end of lemma zenon_L704_ *)
% 54.87/55.09 assert (zenon_L705_ : ((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13)))) -> (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> (((op2 (e20) (e21)) = (e20))\/(((op2 (e20) (e21)) = (e21))\/(((op2 (e20) (e21)) = (e22))\/((op2 (e20) (e21)) = (e23))))) -> (~((e21) = (e22))) -> (~((op2 (e21) (e21)) = (e21))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> ((e23) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((e20) = (op2 (e21) (e21))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> ((op2 (e23) (e21)) = (e23)) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> ((op1 (e11) (op1 (e11) (e11))) = (e11)) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e12))\/((op1 (e11) (e10)) = (e13))))) -> (~((op1 (e11) (e11)) = (e11))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> ((e12) = (op1 (op1 (op1 (e11) (e11)) (op1 (e11) (e11))) (op1 (e11) (e11)))) -> ((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) -> ((e10) = (op1 (e11) (e11))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> ((h2 (e11)) = (e21)) -> ((h2 (e13)) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> (~((h2 (op1 (e11) (e13))) = (op2 (h2 (e11)) (h2 (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((e12) = (e13))) -> ((op1 (e12) (e11)) = (e12)) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> ((op1 (e11) (op1 (e11) (e13))) = (e13)) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e12) (e12)) = (e12))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e11)) = (e12))\/((op1 (e10) (e11)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> ((op1 (e11) (op1 (e11) (e12))) = (e12)) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (~((op1 (e12) (e12)) = (e11))) -> ((op1 (e10) (e12)) = (e10)) -> ((op1 (e12) (e10)) = (e10)) -> ((op1 (e11) (op1 (e11) (e10))) = (e10)) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (((op2 (e22) (e20)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e22) (e23)) = (e23))))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> ((op2 (e22) (e20)) = (e20)) -> (~((op2 (e22) (e22)) = (e21))) -> (~((op2 (e22) (e22)) = (e22))) -> (((op2 (e22) (e22)) = (e20))\/(((op2 (e22) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e22)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> ((op2 (e21) (op2 (e21) (e22))) = (e22)) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> ((e22) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> (((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e21)) = (e22))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> ((op2 (e21) (op2 (e21) (e23))) = (e23)) -> (~((op2 (e21) (e22)) = (op2 (e21) (e23)))) -> (~((op2 (e22) (e23)) = (e22))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> ((op2 (e22) (e21)) = (e22)) -> (~((e22) = (e23))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (((op2 (e21) (e20)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/((op2 (e21) (e23)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e22)))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e20) (e21)) = (e23))\/(((op2 (e20) (e22)) = (e23))\/((op2 (e20) (e23)) = (e23))))) -> False).
% 54.87/55.09 do 0 intro. intros zenon_H22c zenon_H28c zenon_H8d zenon_H286 zenon_H93 zenon_H289 zenon_H27e zenon_H28d zenon_H45 zenon_H3b zenon_H33 zenon_H3b4 zenon_He8 zenon_H3af zenon_H116 zenon_H474 zenon_H313 zenon_H1b1 zenon_H2b1 zenon_H2a6 zenon_H2a5 zenon_H2a3 zenon_H1d8 zenon_H1be zenon_H14b zenon_H1a9 zenon_H15f zenon_H473 zenon_H154 zenon_H155 zenon_H15 zenon_H13 zenon_H2c2 zenon_H270 zenon_H461 zenon_H4b1 zenon_H358 zenon_H2ad zenon_H236 zenon_H202 zenon_H32b zenon_H19d zenon_H316 zenon_H360 zenon_H1cc zenon_H18a zenon_H1fd zenon_H172 zenon_H29e zenon_H2f8 zenon_H301 zenon_H23b zenon_H1d1 zenon_H204 zenon_H179 zenon_H180 zenon_H186 zenon_H21a zenon_H17 zenon_H206 zenon_H2b9 zenon_H30e zenon_H25 zenon_H2e7 zenon_H15a zenon_H32e zenon_H1ed zenon_H375 zenon_H1da zenon_H23f zenon_H18f zenon_H293 zenon_H292 zenon_H1de zenon_H1fa zenon_H1e zenon_H1a0 zenon_H9f zenon_H3f1 zenon_H37d zenon_H121 zenon_H101 zenon_Hd7 zenon_H100 zenon_H3a8 zenon_H481 zenon_H39d zenon_H282 zenon_H60 zenon_H3f zenon_H3b1 zenon_H47c zenon_H395 zenon_H47a zenon_H281 zenon_H6e zenon_H47e zenon_Hd3 zenon_Hec zenon_H11f zenon_H209 zenon_H399 zenon_H98 zenon_Ha5.
% 54.87/55.09 apply (zenon_or_s _ _ zenon_H22c); [ zenon_intro zenon_H27d | zenon_intro zenon_H29d ].
% 54.87/55.09 apply (zenon_or_s _ _ zenon_Ha5); [ zenon_intro zenon_Ha8 | zenon_intro zenon_Ha7 ].
% 54.87/55.09 apply (zenon_or_s _ _ zenon_H28c); [ zenon_intro zenon_Hb9 | zenon_intro zenon_H28e ].
% 54.87/55.09 apply (zenon_or_s _ _ zenon_H399); [ zenon_intro zenon_H44 | zenon_intro zenon_H39a ].
% 54.87/55.09 apply (zenon_L10_); trivial.
% 54.87/55.09 apply (zenon_or_s _ _ zenon_H39a); [ zenon_intro zenon_H388 | zenon_intro zenon_H39b ].
% 54.87/55.09 apply (zenon_L696_); trivial.
% 54.87/55.09 apply (zenon_or_s _ _ zenon_H39b); [ zenon_intro zenon_H38e | zenon_intro zenon_He9 ].
% 54.87/55.09 apply (zenon_L519_); trivial.
% 54.87/55.09 apply (zenon_L619_); trivial.
% 54.87/55.09 apply (zenon_or_s _ _ zenon_H28e); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H28f ].
% 54.87/55.09 exact (zenon_H28d zenon_Hc3).
% 54.87/55.09 apply (zenon_or_s _ _ zenon_H28f); [ zenon_intro zenon_H27f | zenon_intro zenon_H283 ].
% 54.87/55.09 apply (zenon_L133_); trivial.
% 54.87/55.09 apply (zenon_L137_); trivial.
% 54.87/55.09 apply (zenon_or_s _ _ zenon_Ha7); [ zenon_intro zenon_H92 | zenon_intro zenon_Ha9 ].
% 54.87/55.09 apply (zenon_L25_); trivial.
% 54.87/55.09 apply (zenon_or_s _ _ zenon_Ha9); [ zenon_intro zenon_H97 | zenon_intro zenon_H9e ].
% 54.87/55.09 apply (zenon_L26_); trivial.
% 54.87/55.09 apply (zenon_L27_); trivial.
% 54.87/55.09 apply (zenon_L144_); trivial.
% 54.87/55.09 (* end of lemma zenon_L705_ *)
% 54.87/55.09 assert (zenon_L706_ : ((~((op2 (e22) (e23)) = (e22)))\/(~((op2 (e22) (e22)) = (e23)))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e12))\/((op1 (e11) (e10)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> ((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) -> ((e12) = (op1 (op1 (op1 (e11) (e11)) (op1 (e11) (e11))) (op1 (e11) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((e10) = (e12))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e11)) = (e12))\/((op1 (e10) (e11)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (((op1 (e13) (e13)) = (e10))\/(((op1 (e13) (e13)) = (e11))\/(((op1 (e13) (e13)) = (e12))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (~((e12) = (e13))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> ((((op1 (e10) (e10)) = (e10))/\(((op1 (e10) (e10)) = (e10))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11))))/\(((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12))))/\((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))))))))\/((((op1 (e10) (e11)) = (e10))/\(((op1 (e11) (e10)) = (e10))/\(((~((op1 (e11) (e10)) = (e11)))\/(~((op1 (e11) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e11) (e12)) = (e11)))\/(~((op1 (e11) (e11)) = (e12))))/\((~((op1 (e11) (e13)) = (e11)))\/(~((op1 (e11) (e11)) = (e13)))))))))\/((((op1 (e10) (e12)) = (e10))/\(((op1 (e12) (e10)) = (e10))/\(((~((op1 (e12) (e10)) = (e12)))\/(~((op1 (e12) (e12)) = (e10))))/\(((~((op1 (e12) (e11)) = (e12)))\/(~((op1 (e12) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13)))))))))\/((((op1 (e10) (e13)) = (e10))/\(((op1 (e13) (e10)) = (e10))/\(((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e13) (e13)) = (e10))))/\(((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11))))/\(((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e13) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13)))))))))\/((((op1 (e11) (e10)) = (e11))/\(((op1 (e10) (e11)) = (e11))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11))))/\(((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12))))/\((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))))))))\/((((op1 (e11) (e11)) = (e11))/\(((op1 (e11) (e11)) = (e11))/\(((~((op1 (e11) (e10)) = (e11)))\/(~((op1 (e11) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e11) (e12)) = (e11)))\/(~((op1 (e11) (e11)) = (e12))))/\((~((op1 (e11) (e13)) = (e11)))\/(~((op1 (e11) (e11)) = (e13)))))))))\/((((op1 (e11) (e12)) = (e11))/\(((op1 (e12) (e11)) = (e11))/\(((~((op1 (e12) (e10)) = (e12)))\/(~((op1 (e12) (e12)) = (e10))))/\(((~((op1 (e12) (e11)) = (e12)))\/(~((op1 (e12) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13)))))))))\/((((op1 (e11) (e13)) = (e11))/\(((op1 (e13) (e11)) = (e11))/\(((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e13) (e13)) = (e10))))/\(((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11))))/\(((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e13) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13)))))))))\/((((op1 (e12) (e10)) = (e12))/\(((op1 (e10) (e12)) = (e12))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11))))/\(((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12))))/\((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))))))))\/((((op1 (e12) (e11)) = (e12))/\(((op1 (e11) (e12)) = (e12))/\(((~((op1 (e11) (e10)) = (e11)))\/(~((op1 (e11) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e11) (e12)) = (e11)))\/(~((op1 (e11) (e11)) = (e12))))/\((~((op1 (e11) (e13)) = (e11)))\/(~((op1 (e11) (e11)) = (e13)))))))))\/((((op1 (e12) (e12)) = (e12))/\(((op1 (e12) (e12)) = (e12))/\(((~((op1 (e12) (e10)) = (e12)))\/(~((op1 (e12) (e12)) = (e10))))/\(((~((op1 (e12) (e11)) = (e12)))\/(~((op1 (e12) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13)))))))))\/((((op1 (e12) (e13)) = (e12))/\(((op1 (e13) (e12)) = (e12))/\(((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e13) (e13)) = (e10))))/\(((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11))))/\(((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e13) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13)))))))))\/((((op1 (e13) (e10)) = (e13))/\(((op1 (e10) (e13)) = (e13))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11))))/\(((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12))))/\((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))))))))\/((((op1 (e13) (e11)) = (e13))/\(((op1 (e11) (e13)) = (e13))/\(((~((op1 (e11) (e10)) = (e11)))\/(~((op1 (e11) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e11) (e12)) = (e11)))\/(~((op1 (e11) (e11)) = (e12))))/\((~((op1 (e11) (e13)) = (e11)))\/(~((op1 (e11) (e11)) = (e13)))))))))\/((((op1 (e13) (e12)) = (e13))/\(((op1 (e12) (e13)) = (e13))/\(((~((op1 (e12) (e10)) = (e12)))\/(~((op1 (e12) (e12)) = (e10))))/\(((~((op1 (e12) (e11)) = (e12)))\/(~((op1 (e12) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13)))))))))\/(((op1 (e13) (e13)) = (e13))/\(((op1 (e13) (e13)) = (e13))/\(((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e13) (e13)) = (e10))))/\(((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11))))/\(((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e13) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13)))))))))))))))))))))))) -> ((e10) = (op1 (e11) (e11))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e10)) = (e12))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e13) (e10)) = (e12))))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e20) (e21)) = (e23))\/(((op2 (e20) (e22)) = (e23))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e22)))) -> (((op2 (e21) (e20)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/((op2 (e21) (e23)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> (~((e22) = (e23))) -> ((op2 (e22) (e21)) = (e22)) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op2 (e21) (e22)) = (op2 (e21) (e23)))) -> ((op2 (e21) (op2 (e21) (e23))) = (e23)) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e21)) = (e22))\/((op2 (e23) (e21)) = (e23))))) -> ((e22) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> ((op2 (e21) (op2 (e21) (e22))) = (e22)) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (((op2 (e22) (e22)) = (e20))\/(((op2 (e22) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e22)) = (e23))))) -> (~((op2 (e22) (e22)) = (e22))) -> (~((op2 (e22) (e22)) = (e21))) -> ((op2 (e22) (e20)) = (e20)) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> (((op2 (e22) (e20)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e22) (e23)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> ((h2 (e11)) = (e21)) -> ((h2 (e13)) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> (~((h2 (op1 (e11) (e13))) = (op2 (h2 (e11)) (h2 (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> ((op2 (e23) (e21)) = (e23)) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> ((e20) = (op2 (e21) (e21))) -> ((e23) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (~((op2 (e21) (e21)) = (e21))) -> (~((e21) = (e22))) -> (((op2 (e20) (e21)) = (e20))\/(((op2 (e20) (e21)) = (e21))\/(((op2 (e20) (e21)) = (e22))\/((op2 (e20) (e21)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> (((op1 (e10) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e12) (e11)) = (e13))))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e12) (e13)) = (e10))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> ((((op1 (e10) (op1 (e10) (e10))) = (e10))/\(((op1 (e10) (op1 (e10) (e11))) = (e11))/\(((op1 (e10) (op1 (e10) (e12))) = (e12))/\(((op1 (e10) (op1 (e10) (e13))) = (e13))/\(((~((op1 (e10) (e10)) = (e10)))\/((op1 (e10) (e10)) = (e10)))/\(((~((op1 (e11) (e11)) = (e10)))\/((op1 (e11) (e10)) = (e11)))/\(((~((op1 (e12) (e12)) = (e10)))\/((op1 (e12) (e10)) = (e12)))/\((~((op1 (e13) (e13)) = (e10)))\/((op1 (e13) (e10)) = (e13))))))))))\/((((op1 (e11) (op1 (e11) (e10))) = (e10))/\(((op1 (e11) (op1 (e11) (e11))) = (e11))/\(((op1 (e11) (op1 (e11) (e12))) = (e12))/\(((op1 (e11) (op1 (e11) (e13))) = (e13))/\(((~((op1 (e10) (e10)) = (e11)))\/((op1 (e10) (e11)) = (e10)))/\(((~((op1 (e11) (e11)) = (e11)))\/((op1 (e11) (e11)) = (e11)))/\(((~((op1 (e12) (e12)) = (e11)))\/((op1 (e12) (e11)) = (e12)))/\((~((op1 (e13) (e13)) = (e11)))\/((op1 (e13) (e11)) = (e13))))))))))\/((((op1 (e12) (op1 (e12) (e10))) = (e10))/\(((op1 (e12) (op1 (e12) (e11))) = (e11))/\(((op1 (e12) (op1 (e12) (e12))) = (e12))/\(((op1 (e12) (op1 (e12) (e13))) = (e13))/\(((~((op1 (e10) (e10)) = (e12)))\/((op1 (e10) (e12)) = (e10)))/\(((~((op1 (e11) (e11)) = (e12)))\/((op1 (e11) (e12)) = (e11)))/\(((~((op1 (e12) (e12)) = (e12)))\/((op1 (e12) (e12)) = (e12)))/\((~((op1 (e13) (e13)) = (e12)))\/((op1 (e13) (e12)) = (e13))))))))))\/(((op1 (e13) (op1 (e13) (e10))) = (e10))/\(((op1 (e13) (op1 (e13) (e11))) = (e11))/\(((op1 (e13) (op1 (e13) (e12))) = (e12))/\(((op1 (e13) (op1 (e13) (e13))) = (e13))/\(((~((op1 (e10) (e10)) = (e13)))\/((op1 (e10) (e13)) = (e10)))/\(((~((op1 (e11) (e11)) = (e13)))\/((op1 (e11) (e13)) = (e11)))/\(((~((op1 (e12) (e12)) = (e13)))\/((op1 (e12) (e13)) = (e12)))/\((~((op1 (e13) (e13)) = (e13)))\/((op1 (e13) (e13)) = (e13))))))))))))) -> False).
% 54.87/55.09 do 0 intro. intros zenon_Hdf zenon_H15f zenon_H15a zenon_H15 zenon_H155 zenon_H154 zenon_H14b zenon_H186 zenon_H180 zenon_H179 zenon_H172 zenon_H16c zenon_H18a zenon_H18e zenon_H192 zenon_H246 zenon_H19d zenon_H1a0 zenon_H25 zenon_H1e zenon_H17 zenon_H1a9 zenon_H209 zenon_H206 zenon_H204 zenon_H1fd zenon_H1fa zenon_H1f7 zenon_H1f4 zenon_H1ed zenon_H1e8 zenon_H1da zenon_H1d8 zenon_H1cc zenon_H1de zenon_H1b1 zenon_H1be zenon_H20c zenon_H21a zenon_H236 zenon_H23b zenon_H245 zenon_H13 zenon_H2c0 zenon_Hb0 zenon_Hf1 zenon_H4c3 zenon_H2c9 zenon_H328 zenon_H485 zenon_H4c2 zenon_Ha5 zenon_H98 zenon_H399 zenon_H11f zenon_Hec zenon_Hd3 zenon_H47e zenon_H6e zenon_H47a zenon_H395 zenon_H47c zenon_H3b1 zenon_H3f zenon_H60 zenon_H282 zenon_H39d zenon_H481 zenon_H3a8 zenon_H100 zenon_Hd7 zenon_H101 zenon_H121 zenon_H37d zenon_H3f1 zenon_H9f zenon_H32e zenon_H2c2 zenon_H270 zenon_H461 zenon_H4b1 zenon_H358 zenon_H2ad zenon_H32b zenon_H316 zenon_H360 zenon_H2f8 zenon_H301 zenon_H2b9 zenon_H30e zenon_H2e7 zenon_H2a3 zenon_H2a5 zenon_H2b1 zenon_H313 zenon_H474 zenon_H116 zenon_H3af zenon_He8 zenon_H3b4 zenon_H33 zenon_H3b zenon_H45 zenon_H28d zenon_H27e zenon_H289 zenon_H93 zenon_H286 zenon_H8d zenon_H28c zenon_H2fd zenon_H2fb zenon_H2f6 zenon_H325 zenon_H322 zenon_H321 zenon_H30b zenon_H2ea zenon_H2e2 zenon_H2e6 zenon_H2d9 zenon_H2d1 zenon_H35d zenon_H345 zenon_H355 zenon_H36e.
% 54.87/55.09 apply (zenon_or_s _ _ zenon_Hdf); [ zenon_intro zenon_H281 | zenon_intro zenon_H37f ].
% 54.87/55.09 apply (zenon_or_s _ _ zenon_H36e); [ zenon_intro zenon_H244 | zenon_intro zenon_H36f ].
% 54.87/55.09 apply (zenon_L126_); trivial.
% 54.87/55.09 apply (zenon_or_s _ _ zenon_H36f); [ zenon_intro zenon_H371 | zenon_intro zenon_H370 ].
% 54.87/55.09 apply (zenon_and_s _ _ zenon_H371). zenon_intro zenon_H292. zenon_intro zenon_H372.
% 54.87/55.09 apply (zenon_and_s _ _ zenon_H372). zenon_intro zenon_H2a6. zenon_intro zenon_H373.
% 54.87/55.09 apply (zenon_and_s _ _ zenon_H373). zenon_intro zenon_H375. zenon_intro zenon_H374.
% 54.87/55.09 apply (zenon_and_s _ _ zenon_H374). zenon_intro zenon_H29e. zenon_intro zenon_H376.
% 54.87/55.09 apply (zenon_and_s _ _ zenon_H376). zenon_intro zenon_H378. zenon_intro zenon_H377.
% 54.87/55.09 apply (zenon_and_s _ _ zenon_H377). zenon_intro zenon_H37a. zenon_intro zenon_H379.
% 54.87/55.09 apply (zenon_and_s _ _ zenon_H379). zenon_intro zenon_H37c. zenon_intro zenon_H37b.
% 54.87/55.09 apply (zenon_or_s _ _ zenon_H37a); [ zenon_intro zenon_H473 | zenon_intro zenon_H1a7 ].
% 54.87/55.09 apply (zenon_or_s _ _ zenon_H37c); [ zenon_intro zenon_H23f | zenon_intro zenon_H202 ].
% 54.87/55.09 apply (zenon_or_s _ _ zenon_H37b); [ zenon_intro zenon_H20d | zenon_intro zenon_H1c3 ].
% 54.87/55.09 apply (zenon_or_s _ _ zenon_H245); [ zenon_intro zenon_H147 | zenon_intro zenon_H254 ].
% 54.87/55.09 apply (zenon_L60_); trivial.
% 54.87/55.09 apply (zenon_or_s _ _ zenon_H254); [ zenon_intro zenon_H164 | zenon_intro zenon_H255 ].
% 54.87/55.09 apply (zenon_L66_); trivial.
% 54.87/55.09 apply (zenon_or_s _ _ zenon_H255); [ zenon_intro zenon_H197 | zenon_intro zenon_H256 ].
% 54.87/55.09 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_H18f. zenon_intro zenon_H198.
% 54.87/55.09 apply (zenon_and_s _ _ zenon_H198). zenon_intro zenon_H293. zenon_intro zenon_H227.
% 54.87/55.09 apply (zenon_and_s _ _ zenon_H227). zenon_intro zenon_H229. zenon_intro zenon_H228.
% 54.87/55.09 apply (zenon_and_s _ _ zenon_H228). zenon_intro zenon_H22b. zenon_intro zenon_H22a.
% 54.87/55.09 apply (zenon_and_s _ _ zenon_H22a). zenon_intro zenon_H224. zenon_intro zenon_H22c.
% 54.87/55.09 apply (zenon_or_s _ _ zenon_H224); [ zenon_intro zenon_H1d1 | zenon_intro zenon_H1d1 ].
% 54.87/55.09 apply (zenon_L701_); trivial.
% 54.87/55.09 apply (zenon_L701_); trivial.
% 54.87/55.09 apply (zenon_or_s _ _ zenon_H256); [ zenon_intro zenon_H199 | zenon_intro zenon_H257 ].
% 54.87/55.09 apply (zenon_L77_); trivial.
% 54.87/55.09 apply (zenon_or_s _ _ zenon_H257); [ zenon_intro zenon_H259 | zenon_intro zenon_H258 ].
% 54.87/55.09 apply (zenon_L687_); trivial.
% 54.87/55.09 apply (zenon_or_s _ _ zenon_H258); [ zenon_intro zenon_H1a5 | zenon_intro zenon_H262 ].
% 54.87/55.09 apply (zenon_L80_); trivial.
% 54.87/55.09 apply (zenon_or_s _ _ zenon_H262); [ zenon_intro zenon_H1ae | zenon_intro zenon_H263 ].
% 54.87/55.09 apply (zenon_L83_); trivial.
% 54.87/55.09 apply (zenon_or_s _ _ zenon_H263); [ zenon_intro zenon_H212 | zenon_intro zenon_H264 ].
% 54.87/55.09 apply (zenon_L161_); trivial.
% 54.87/55.09 apply (zenon_or_s _ _ zenon_H264); [ zenon_intro zenon_H220 | zenon_intro zenon_H265 ].
% 54.87/55.09 apply (zenon_L110_); trivial.
% 54.87/55.09 apply (zenon_or_s _ _ zenon_H265); [ zenon_intro zenon_H222 | zenon_intro zenon_H266 ].
% 54.87/55.09 apply (zenon_L111_); trivial.
% 54.87/55.09 apply (zenon_or_s _ _ zenon_H266); [ zenon_intro zenon_H225 | zenon_intro zenon_H267 ].
% 54.87/55.09 apply (zenon_L113_); trivial.
% 54.87/55.09 apply (zenon_or_s _ _ zenon_H267); [ zenon_intro zenon_H22d | zenon_intro zenon_H268 ].
% 54.87/55.09 apply (zenon_L114_); trivial.
% 54.87/55.09 apply (zenon_or_s _ _ zenon_H268); [ zenon_intro zenon_H230 | zenon_intro zenon_H269 ].
% 54.87/55.09 apply (zenon_L115_); trivial.
% 54.87/55.09 apply (zenon_or_s _ _ zenon_H269); [ zenon_intro zenon_H232 | zenon_intro zenon_H26a ].
% 54.87/55.09 apply (zenon_L116_); trivial.
% 54.87/55.09 apply (zenon_or_s _ _ zenon_H26a); [ zenon_intro zenon_H240 | zenon_intro zenon_H242 ].
% 54.87/55.09 apply (zenon_L166_); trivial.
% 54.87/55.09 apply (zenon_L125_); trivial.
% 54.87/55.09 apply (zenon_L704_); trivial.
% 54.87/55.09 apply (zenon_or_s _ _ zenon_H245); [ zenon_intro zenon_H147 | zenon_intro zenon_H254 ].
% 54.87/55.09 apply (zenon_L60_); trivial.
% 54.87/55.09 apply (zenon_or_s _ _ zenon_H254); [ zenon_intro zenon_H164 | zenon_intro zenon_H255 ].
% 54.87/55.09 apply (zenon_L66_); trivial.
% 54.87/55.09 apply (zenon_or_s _ _ zenon_H255); [ zenon_intro zenon_H197 | zenon_intro zenon_H256 ].
% 54.87/55.09 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_H18f. zenon_intro zenon_H198.
% 54.87/55.09 apply (zenon_and_s _ _ zenon_H198). zenon_intro zenon_H293. zenon_intro zenon_H227.
% 54.87/55.09 apply (zenon_and_s _ _ zenon_H227). zenon_intro zenon_H229. zenon_intro zenon_H228.
% 54.87/55.09 apply (zenon_and_s _ _ zenon_H228). zenon_intro zenon_H22b. zenon_intro zenon_H22a.
% 54.87/55.09 apply (zenon_and_s _ _ zenon_H22a). zenon_intro zenon_H224. zenon_intro zenon_H22c.
% 54.87/55.09 apply (zenon_or_s _ _ zenon_H22b); [ zenon_intro zenon_H23c | zenon_intro zenon_H23f ].
% 54.87/55.09 exact (zenon_H23c zenon_H202).
% 54.87/55.09 apply (zenon_or_s _ _ zenon_H224); [ zenon_intro zenon_H1d1 | zenon_intro zenon_H1d1 ].
% 54.87/55.09 apply (zenon_L705_); trivial.
% 54.87/55.09 apply (zenon_L705_); trivial.
% 54.87/55.09 apply (zenon_or_s _ _ zenon_H256); [ zenon_intro zenon_H199 | zenon_intro zenon_H257 ].
% 54.87/55.09 apply (zenon_L77_); trivial.
% 54.87/55.09 apply (zenon_or_s _ _ zenon_H257); [ zenon_intro zenon_H259 | zenon_intro zenon_H258 ].
% 54.87/55.09 apply (zenon_L661_); trivial.
% 54.87/55.09 apply (zenon_or_s _ _ zenon_H258); [ zenon_intro zenon_H1a5 | zenon_intro zenon_H262 ].
% 54.87/55.09 apply (zenon_L80_); trivial.
% 54.87/55.09 apply (zenon_or_s _ _ zenon_H262); [ zenon_intro zenon_H1ae | zenon_intro zenon_H263 ].
% 54.87/55.09 apply (zenon_L83_); trivial.
% 54.87/55.09 apply (zenon_or_s _ _ zenon_H263); [ zenon_intro zenon_H212 | zenon_intro zenon_H264 ].
% 54.87/55.09 apply (zenon_L169_); trivial.
% 54.87/55.09 apply (zenon_or_s _ _ zenon_H264); [ zenon_intro zenon_H220 | zenon_intro zenon_H265 ].
% 54.87/55.09 apply (zenon_L110_); trivial.
% 54.87/55.09 apply (zenon_or_s _ _ zenon_H265); [ zenon_intro zenon_H222 | zenon_intro zenon_H266 ].
% 54.87/55.09 apply (zenon_L111_); trivial.
% 54.87/55.09 apply (zenon_or_s _ _ zenon_H266); [ zenon_intro zenon_H225 | zenon_intro zenon_H267 ].
% 54.87/55.09 apply (zenon_L113_); trivial.
% 54.87/55.09 apply (zenon_or_s _ _ zenon_H267); [ zenon_intro zenon_H22d | zenon_intro zenon_H268 ].
% 54.87/55.09 apply (zenon_L114_); trivial.
% 54.87/55.09 apply (zenon_or_s _ _ zenon_H268); [ zenon_intro zenon_H230 | zenon_intro zenon_H269 ].
% 54.87/55.09 apply (zenon_L115_); trivial.
% 54.87/55.09 apply (zenon_or_s _ _ zenon_H269); [ zenon_intro zenon_H232 | zenon_intro zenon_H26a ].
% 54.87/55.09 apply (zenon_L116_); trivial.
% 54.87/55.09 apply (zenon_or_s _ _ zenon_H26a); [ zenon_intro zenon_H240 | zenon_intro zenon_H242 ].
% 54.87/55.09 apply (zenon_L166_); trivial.
% 54.87/55.09 apply (zenon_L125_); trivial.
% 54.87/55.09 apply (zenon_L532_); trivial.
% 54.87/55.09 apply (zenon_or_s _ _ zenon_H370); [ zenon_intro zenon_H335 | zenon_intro zenon_H363 ].
% 54.87/55.09 apply (zenon_L260_); trivial.
% 54.87/55.09 apply (zenon_L307_); trivial.
% 54.87/55.09 apply (zenon_L310_); trivial.
% 54.87/55.09 (* end of lemma zenon_L706_ *)
% 54.87/55.09 assert (zenon_L707_ : ((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13)))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> ((e23) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((e20) = (op2 (e21) (e21))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> ((op2 (e23) (e21)) = (e23)) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> ((op1 (e11) (op1 (e11) (e11))) = (e11)) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e12))\/((op1 (e11) (e10)) = (e13))))) -> (~((op1 (e11) (e11)) = (e11))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> ((e12) = (op1 (op1 (op1 (e11) (e11)) (op1 (e11) (e11))) (op1 (e11) (e11)))) -> ((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) -> ((e10) = (op1 (e11) (e11))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e11)) = (e12))\/((op1 (e10) (e11)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e12) (e12)) = (e12))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> ((op1 (e11) (op1 (e11) (e13))) = (e13)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((e12) = (e13))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((h2 (op1 (e11) (e13))) = (op2 (h2 (e11)) (h2 (e13))))) -> ((h2 (e13)) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((h2 (e11)) = (e21)) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> ((op1 (e11) (op1 (e11) (e12))) = (e12)) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (~((op1 (e12) (e12)) = (e11))) -> ((op1 (e10) (e12)) = (e10)) -> ((op1 (e12) (e10)) = (e10)) -> ((op1 (e11) (op1 (e11) (e10))) = (e10)) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> ((op2 (e21) (op2 (e21) (e22))) = (e22)) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> ((op2 (e20) (e21)) = (e21)) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e23)) = (e20))) -> (((op2 (e21) (e20)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/((op2 (e21) (e23)) = (e23))))) -> False).
% 54.87/55.09 do 0 intro. intros zenon_H22c zenon_H45 zenon_H3b zenon_H33 zenon_H3b4 zenon_He8 zenon_H3af zenon_H116 zenon_H474 zenon_H313 zenon_H1b1 zenon_H2b1 zenon_H2a6 zenon_H2a5 zenon_H2a3 zenon_H1d8 zenon_H1be zenon_H14b zenon_H1a9 zenon_H15f zenon_H473 zenon_H154 zenon_H155 zenon_H15 zenon_H13 zenon_H15a zenon_H2e7 zenon_H25 zenon_H30e zenon_H2b9 zenon_H206 zenon_H17 zenon_H186 zenon_H180 zenon_H179 zenon_H204 zenon_H1d1 zenon_H23b zenon_H301 zenon_H2f8 zenon_H29e zenon_H172 zenon_H1fd zenon_H18a zenon_H1cc zenon_H360 zenon_H316 zenon_H19d zenon_H32b zenon_H236 zenon_H2ad zenon_H358 zenon_H4b1 zenon_H461 zenon_H270 zenon_H2c2 zenon_H21a zenon_H209 zenon_H375 zenon_H1ed zenon_H32e zenon_H1da zenon_H23f zenon_H18f zenon_H293 zenon_H292 zenon_H1de zenon_H1fa zenon_H1e zenon_H1a0 zenon_H9f zenon_H489 zenon_H481 zenon_H3a8 zenon_Hb9 zenon_H3c2 zenon_Had zenon_H399.
% 54.87/55.09 apply (zenon_or_s _ _ zenon_H22c); [ zenon_intro zenon_H27d | zenon_intro zenon_H29d ].
% 54.87/55.09 apply (zenon_or_s _ _ zenon_H399); [ zenon_intro zenon_H44 | zenon_intro zenon_H39a ].
% 54.87/55.09 apply (zenon_L10_); trivial.
% 54.87/55.09 apply (zenon_or_s _ _ zenon_H39a); [ zenon_intro zenon_H388 | zenon_intro zenon_H39b ].
% 54.87/55.09 apply (zenon_L620_); trivial.
% 54.87/55.09 apply (zenon_or_s _ _ zenon_H39b); [ zenon_intro zenon_H38e | zenon_intro zenon_He9 ].
% 54.87/55.09 apply (zenon_L590_); trivial.
% 54.87/55.09 apply (zenon_L619_); trivial.
% 54.87/55.09 apply (zenon_L144_); trivial.
% 54.87/55.09 (* end of lemma zenon_L707_ *)
% 54.87/55.09 assert (zenon_L708_ : ((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13)))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> ((e23) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((e20) = (op2 (e21) (e21))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> ((op2 (e23) (e21)) = (e23)) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> ((op1 (e11) (op1 (e11) (e11))) = (e11)) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e12))\/((op1 (e11) (e10)) = (e13))))) -> (~((op1 (e11) (e11)) = (e11))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> ((e12) = (op1 (op1 (op1 (e11) (e11)) (op1 (e11) (e11))) (op1 (e11) (e11)))) -> ((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) -> ((e10) = (op1 (e11) (e11))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> ((h2 (e11)) = (e21)) -> ((h2 (e13)) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> (~((h2 (op1 (e11) (e13))) = (op2 (h2 (e11)) (h2 (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((e12) = (e13))) -> ((op1 (e12) (e11)) = (e12)) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> ((op1 (e11) (op1 (e11) (e13))) = (e13)) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e12) (e12)) = (e12))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e11)) = (e12))\/((op1 (e10) (e11)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> ((op1 (e11) (op1 (e11) (e12))) = (e12)) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (~((op1 (e12) (e12)) = (e11))) -> ((op1 (e10) (e12)) = (e10)) -> ((op1 (e12) (e10)) = (e10)) -> ((op1 (e11) (op1 (e11) (e10))) = (e10)) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> ((op2 (e21) (op2 (e21) (e22))) = (e22)) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> ((op2 (e20) (e21)) = (e21)) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e23)) = (e20))) -> (((op2 (e21) (e20)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/((op2 (e21) (e23)) = (e23))))) -> False).
% 54.87/55.09 do 0 intro. intros zenon_H22c zenon_H45 zenon_H3b zenon_H33 zenon_H3b4 zenon_He8 zenon_H3af zenon_H116 zenon_H474 zenon_H313 zenon_H1b1 zenon_H2b1 zenon_H2a6 zenon_H2a5 zenon_H2a3 zenon_H1d8 zenon_H1be zenon_H14b zenon_H1a9 zenon_H15f zenon_H473 zenon_H154 zenon_H155 zenon_H15 zenon_H13 zenon_H2c2 zenon_H270 zenon_H461 zenon_H4b1 zenon_H358 zenon_H2ad zenon_H236 zenon_H202 zenon_H32b zenon_H19d zenon_H316 zenon_H360 zenon_H1cc zenon_H18a zenon_H1fd zenon_H172 zenon_H29e zenon_H2f8 zenon_H301 zenon_H23b zenon_H1d1 zenon_H204 zenon_H179 zenon_H180 zenon_H186 zenon_H21a zenon_H17 zenon_H206 zenon_H2b9 zenon_H30e zenon_H25 zenon_H2e7 zenon_H15a zenon_H32e zenon_H1ed zenon_H375 zenon_H1da zenon_H23f zenon_H18f zenon_H293 zenon_H292 zenon_H1de zenon_H1fa zenon_H1e zenon_H1a0 zenon_H9f zenon_H489 zenon_H481 zenon_H3a8 zenon_Hb9 zenon_H3c2 zenon_Had zenon_H399.
% 54.87/55.09 apply (zenon_or_s _ _ zenon_H22c); [ zenon_intro zenon_H27d | zenon_intro zenon_H29d ].
% 54.87/55.09 apply (zenon_or_s _ _ zenon_H399); [ zenon_intro zenon_H44 | zenon_intro zenon_H39a ].
% 54.87/55.09 apply (zenon_L10_); trivial.
% 54.87/55.09 apply (zenon_or_s _ _ zenon_H39a); [ zenon_intro zenon_H388 | zenon_intro zenon_H39b ].
% 54.87/55.09 apply (zenon_L696_); trivial.
% 54.87/55.09 apply (zenon_or_s _ _ zenon_H39b); [ zenon_intro zenon_H38e | zenon_intro zenon_He9 ].
% 54.87/55.09 apply (zenon_L590_); trivial.
% 54.87/55.09 apply (zenon_L655_); trivial.
% 54.87/55.09 apply (zenon_L144_); trivial.
% 54.87/55.09 (* end of lemma zenon_L708_ *)
% 54.87/55.09 assert (zenon_L709_ : (((op2 (e21) (e20)) = (e21))/\(((op2 (e20) (e21)) = (e21))/\(((~((op2 (e20) (e20)) = (e20)))\/(~((op2 (e20) (e20)) = (e20))))/\(((~((op2 (e20) (e21)) = (e20)))\/(~((op2 (e20) (e20)) = (e21))))/\(((~((op2 (e20) (e22)) = (e20)))\/(~((op2 (e20) (e20)) = (e22))))/\((~((op2 (e20) (e23)) = (e20)))\/(~((op2 (e20) (e20)) = (e23))))))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e22)))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e20) (e21)) = (e23))\/(((op2 (e20) (e22)) = (e23))\/((op2 (e20) (e23)) = (e23))))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e12))\/((op1 (e11) (e10)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> ((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) -> ((e12) = (op1 (op1 (op1 (e11) (e11)) (op1 (e11) (e11))) (op1 (e11) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((e10) = (e12))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e11)) = (e12))\/((op1 (e10) (e11)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (((op1 (e13) (e13)) = (e10))\/(((op1 (e13) (e13)) = (e11))\/(((op1 (e13) (e13)) = (e12))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (~((e12) = (e13))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> ((((op1 (e10) (e10)) = (e10))/\(((op1 (e10) (e10)) = (e10))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11))))/\(((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12))))/\((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))))))))\/((((op1 (e10) (e11)) = (e10))/\(((op1 (e11) (e10)) = (e10))/\(((~((op1 (e11) (e10)) = (e11)))\/(~((op1 (e11) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e11) (e12)) = (e11)))\/(~((op1 (e11) (e11)) = (e12))))/\((~((op1 (e11) (e13)) = (e11)))\/(~((op1 (e11) (e11)) = (e13)))))))))\/((((op1 (e10) (e12)) = (e10))/\(((op1 (e12) (e10)) = (e10))/\(((~((op1 (e12) (e10)) = (e12)))\/(~((op1 (e12) (e12)) = (e10))))/\(((~((op1 (e12) (e11)) = (e12)))\/(~((op1 (e12) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13)))))))))\/((((op1 (e10) (e13)) = (e10))/\(((op1 (e13) (e10)) = (e10))/\(((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e13) (e13)) = (e10))))/\(((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11))))/\(((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e13) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13)))))))))\/((((op1 (e11) (e10)) = (e11))/\(((op1 (e10) (e11)) = (e11))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11))))/\(((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12))))/\((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))))))))\/((((op1 (e11) (e11)) = (e11))/\(((op1 (e11) (e11)) = (e11))/\(((~((op1 (e11) (e10)) = (e11)))\/(~((op1 (e11) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e11) (e12)) = (e11)))\/(~((op1 (e11) (e11)) = (e12))))/\((~((op1 (e11) (e13)) = (e11)))\/(~((op1 (e11) (e11)) = (e13)))))))))\/((((op1 (e11) (e12)) = (e11))/\(((op1 (e12) (e11)) = (e11))/\(((~((op1 (e12) (e10)) = (e12)))\/(~((op1 (e12) (e12)) = (e10))))/\(((~((op1 (e12) (e11)) = (e12)))\/(~((op1 (e12) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13)))))))))\/((((op1 (e11) (e13)) = (e11))/\(((op1 (e13) (e11)) = (e11))/\(((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e13) (e13)) = (e10))))/\(((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11))))/\(((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e13) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13)))))))))\/((((op1 (e12) (e10)) = (e12))/\(((op1 (e10) (e12)) = (e12))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11))))/\(((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12))))/\((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))))))))\/((((op1 (e12) (e11)) = (e12))/\(((op1 (e11) (e12)) = (e12))/\(((~((op1 (e11) (e10)) = (e11)))\/(~((op1 (e11) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e11) (e12)) = (e11)))\/(~((op1 (e11) (e11)) = (e12))))/\((~((op1 (e11) (e13)) = (e11)))\/(~((op1 (e11) (e11)) = (e13)))))))))\/((((op1 (e12) (e12)) = (e12))/\(((op1 (e12) (e12)) = (e12))/\(((~((op1 (e12) (e10)) = (e12)))\/(~((op1 (e12) (e12)) = (e10))))/\(((~((op1 (e12) (e11)) = (e12)))\/(~((op1 (e12) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13)))))))))\/((((op1 (e12) (e13)) = (e12))/\(((op1 (e13) (e12)) = (e12))/\(((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e13) (e13)) = (e10))))/\(((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11))))/\(((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e13) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13)))))))))\/((((op1 (e13) (e10)) = (e13))/\(((op1 (e10) (e13)) = (e13))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11))))/\(((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12))))/\((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))))))))\/((((op1 (e13) (e11)) = (e13))/\(((op1 (e11) (e13)) = (e13))/\(((~((op1 (e11) (e10)) = (e11)))\/(~((op1 (e11) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e11) (e12)) = (e11)))\/(~((op1 (e11) (e11)) = (e12))))/\((~((op1 (e11) (e13)) = (e11)))\/(~((op1 (e11) (e11)) = (e13)))))))))\/((((op1 (e13) (e12)) = (e13))/\(((op1 (e12) (e13)) = (e13))/\(((~((op1 (e12) (e10)) = (e12)))\/(~((op1 (e12) (e12)) = (e10))))/\(((~((op1 (e12) (e11)) = (e12)))\/(~((op1 (e12) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13)))))))))\/(((op1 (e13) (e13)) = (e13))/\(((op1 (e13) (e13)) = (e13))/\(((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e13) (e13)) = (e10))))/\(((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11))))/\(((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e13) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13)))))))))))))))))))))))) -> ((e10) = (op1 (e11) (e11))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> ((e22) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> (((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e21)) = (e22))\/((op2 (e23) (e21)) = (e23))))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e10)) = (e12))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e13) (e10)) = (e12))))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> (((op2 (e21) (e20)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/((op2 (e21) (e23)) = (e23))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> ((op2 (e21) (op2 (e21) (e22))) = (e22)) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> ((h2 (e11)) = (e21)) -> ((h2 (e13)) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> (~((h2 (op1 (e11) (e13))) = (op2 (h2 (e11)) (h2 (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> ((op2 (e23) (e21)) = (e23)) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> ((e20) = (op2 (e21) (e21))) -> ((e23) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (((op1 (e10) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e12) (e11)) = (e13))))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e12) (e13)) = (e10))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> ((((op1 (e10) (op1 (e10) (e10))) = (e10))/\(((op1 (e10) (op1 (e10) (e11))) = (e11))/\(((op1 (e10) (op1 (e10) (e12))) = (e12))/\(((op1 (e10) (op1 (e10) (e13))) = (e13))/\(((~((op1 (e10) (e10)) = (e10)))\/((op1 (e10) (e10)) = (e10)))/\(((~((op1 (e11) (e11)) = (e10)))\/((op1 (e11) (e10)) = (e11)))/\(((~((op1 (e12) (e12)) = (e10)))\/((op1 (e12) (e10)) = (e12)))/\((~((op1 (e13) (e13)) = (e10)))\/((op1 (e13) (e10)) = (e13))))))))))\/((((op1 (e11) (op1 (e11) (e10))) = (e10))/\(((op1 (e11) (op1 (e11) (e11))) = (e11))/\(((op1 (e11) (op1 (e11) (e12))) = (e12))/\(((op1 (e11) (op1 (e11) (e13))) = (e13))/\(((~((op1 (e10) (e10)) = (e11)))\/((op1 (e10) (e11)) = (e10)))/\(((~((op1 (e11) (e11)) = (e11)))\/((op1 (e11) (e11)) = (e11)))/\(((~((op1 (e12) (e12)) = (e11)))\/((op1 (e12) (e11)) = (e12)))/\((~((op1 (e13) (e13)) = (e11)))\/((op1 (e13) (e11)) = (e13))))))))))\/((((op1 (e12) (op1 (e12) (e10))) = (e10))/\(((op1 (e12) (op1 (e12) (e11))) = (e11))/\(((op1 (e12) (op1 (e12) (e12))) = (e12))/\(((op1 (e12) (op1 (e12) (e13))) = (e13))/\(((~((op1 (e10) (e10)) = (e12)))\/((op1 (e10) (e12)) = (e10)))/\(((~((op1 (e11) (e11)) = (e12)))\/((op1 (e11) (e12)) = (e11)))/\(((~((op1 (e12) (e12)) = (e12)))\/((op1 (e12) (e12)) = (e12)))/\((~((op1 (e13) (e13)) = (e12)))\/((op1 (e13) (e12)) = (e13))))))))))\/(((op1 (e13) (op1 (e13) (e10))) = (e10))/\(((op1 (e13) (op1 (e13) (e11))) = (e11))/\(((op1 (e13) (op1 (e13) (e12))) = (e12))/\(((op1 (e13) (op1 (e13) (e13))) = (e13))/\(((~((op1 (e10) (e10)) = (e13)))\/((op1 (e10) (e13)) = (e10)))/\(((~((op1 (e11) (e11)) = (e13)))\/((op1 (e11) (e13)) = (e11)))/\(((~((op1 (e12) (e12)) = (e13)))\/((op1 (e12) (e13)) = (e12)))/\((~((op1 (e13) (e13)) = (e13)))\/((op1 (e13) (e13)) = (e13))))))))))))) -> False).
% 54.87/55.09 do 0 intro. intros zenon_Hb6 zenon_H93 zenon_H98 zenon_Ha5 zenon_H15f zenon_H15a zenon_H15 zenon_H155 zenon_H154 zenon_H14b zenon_H186 zenon_H180 zenon_H179 zenon_H172 zenon_H16c zenon_H18a zenon_H18e zenon_H192 zenon_H246 zenon_H19d zenon_H1a0 zenon_H25 zenon_H1e zenon_H17 zenon_H1a9 zenon_H209 zenon_H206 zenon_H204 zenon_H1fd zenon_H1fa zenon_H1f7 zenon_H1f4 zenon_H1ed zenon_H1e8 zenon_H1da zenon_H1d8 zenon_H1cc zenon_H1de zenon_H1b1 zenon_H1be zenon_H20c zenon_H21a zenon_H236 zenon_H23b zenon_H245 zenon_H13 zenon_H2c0 zenon_H39d zenon_H282 zenon_H60 zenon_H3f zenon_H3b1 zenon_H4c3 zenon_H2c9 zenon_H328 zenon_H485 zenon_H4c2 zenon_H399 zenon_H3c2 zenon_H3a8 zenon_H481 zenon_H489 zenon_H9f zenon_H32e zenon_H2c2 zenon_H270 zenon_H461 zenon_H4b1 zenon_H358 zenon_H2ad zenon_H32b zenon_H316 zenon_H360 zenon_H2f8 zenon_H301 zenon_H2b9 zenon_H30e zenon_H2e7 zenon_H2a3 zenon_H2a5 zenon_H2b1 zenon_H313 zenon_H474 zenon_H116 zenon_H3af zenon_He8 zenon_H3b4 zenon_H33 zenon_H3b zenon_H45 zenon_H2fd zenon_H2fb zenon_H2f6 zenon_H325 zenon_H322 zenon_H321 zenon_H30b zenon_H2ea zenon_H2e2 zenon_H2e6 zenon_H2d9 zenon_H2d1 zenon_H35d zenon_H345 zenon_H355 zenon_H36e.
% 54.87/55.09 apply (zenon_and_s _ _ zenon_Hb6). zenon_intro zenon_H4e. zenon_intro zenon_Hb8.
% 54.87/55.09 apply (zenon_and_s _ _ zenon_Hb8). zenon_intro zenon_Hb9. zenon_intro zenon_H2e.
% 54.87/55.09 apply (zenon_and_s _ _ zenon_H2e). zenon_intro zenon_H30. zenon_intro zenon_H2f.
% 54.87/55.09 apply (zenon_and_s _ _ zenon_H2f). zenon_intro zenon_Hbb. zenon_intro zenon_Hba.
% 54.87/55.09 apply (zenon_and_s _ _ zenon_Hba). zenon_intro zenon_Hbc. zenon_intro zenon_Haa.
% 54.87/55.09 apply (zenon_or_s _ _ zenon_Haa); [ zenon_intro zenon_Had | zenon_intro zenon_Ha6 ].
% 54.87/55.09 apply (zenon_or_s _ _ zenon_H36e); [ zenon_intro zenon_H244 | zenon_intro zenon_H36f ].
% 54.87/55.09 apply (zenon_L126_); trivial.
% 54.87/55.09 apply (zenon_or_s _ _ zenon_H36f); [ zenon_intro zenon_H371 | zenon_intro zenon_H370 ].
% 54.87/55.09 apply (zenon_and_s _ _ zenon_H371). zenon_intro zenon_H292. zenon_intro zenon_H372.
% 54.87/55.09 apply (zenon_and_s _ _ zenon_H372). zenon_intro zenon_H2a6. zenon_intro zenon_H373.
% 54.87/55.09 apply (zenon_and_s _ _ zenon_H373). zenon_intro zenon_H375. zenon_intro zenon_H374.
% 54.87/55.09 apply (zenon_and_s _ _ zenon_H374). zenon_intro zenon_H29e. zenon_intro zenon_H376.
% 54.87/55.09 apply (zenon_and_s _ _ zenon_H376). zenon_intro zenon_H378. zenon_intro zenon_H377.
% 54.87/55.09 apply (zenon_and_s _ _ zenon_H377). zenon_intro zenon_H37a. zenon_intro zenon_H379.
% 54.87/55.09 apply (zenon_and_s _ _ zenon_H379). zenon_intro zenon_H37c. zenon_intro zenon_H37b.
% 54.87/55.09 apply (zenon_or_s _ _ zenon_H37a); [ zenon_intro zenon_H473 | zenon_intro zenon_H1a7 ].
% 54.87/55.09 apply (zenon_or_s _ _ zenon_H37c); [ zenon_intro zenon_H23f | zenon_intro zenon_H202 ].
% 54.87/55.09 apply (zenon_or_s _ _ zenon_H37b); [ zenon_intro zenon_H20d | zenon_intro zenon_H1c3 ].
% 54.87/55.09 apply (zenon_or_s _ _ zenon_H245); [ zenon_intro zenon_H147 | zenon_intro zenon_H254 ].
% 54.87/55.09 apply (zenon_L60_); trivial.
% 54.87/55.09 apply (zenon_or_s _ _ zenon_H254); [ zenon_intro zenon_H164 | zenon_intro zenon_H255 ].
% 54.87/55.09 apply (zenon_L66_); trivial.
% 54.87/55.09 apply (zenon_or_s _ _ zenon_H255); [ zenon_intro zenon_H197 | zenon_intro zenon_H256 ].
% 54.87/55.09 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_H18f. zenon_intro zenon_H198.
% 54.87/55.09 apply (zenon_and_s _ _ zenon_H198). zenon_intro zenon_H293. zenon_intro zenon_H227.
% 54.87/55.09 apply (zenon_and_s _ _ zenon_H227). zenon_intro zenon_H229. zenon_intro zenon_H228.
% 54.87/55.09 apply (zenon_and_s _ _ zenon_H228). zenon_intro zenon_H22b. zenon_intro zenon_H22a.
% 54.87/55.09 apply (zenon_and_s _ _ zenon_H22a). zenon_intro zenon_H224. zenon_intro zenon_H22c.
% 54.87/55.09 apply (zenon_or_s _ _ zenon_H224); [ zenon_intro zenon_H1d1 | zenon_intro zenon_H1d1 ].
% 54.87/55.09 apply (zenon_L707_); trivial.
% 54.87/55.09 apply (zenon_L707_); trivial.
% 54.87/55.09 apply (zenon_or_s _ _ zenon_H256); [ zenon_intro zenon_H199 | zenon_intro zenon_H257 ].
% 54.87/55.09 apply (zenon_L77_); trivial.
% 54.87/55.09 apply (zenon_or_s _ _ zenon_H257); [ zenon_intro zenon_H259 | zenon_intro zenon_H258 ].
% 54.87/55.09 apply (zenon_L693_); trivial.
% 54.87/55.09 apply (zenon_or_s _ _ zenon_H258); [ zenon_intro zenon_H1a5 | zenon_intro zenon_H262 ].
% 54.87/55.09 apply (zenon_L80_); trivial.
% 54.87/55.09 apply (zenon_or_s _ _ zenon_H262); [ zenon_intro zenon_H1ae | zenon_intro zenon_H263 ].
% 54.87/55.09 apply (zenon_L83_); trivial.
% 54.87/55.09 apply (zenon_or_s _ _ zenon_H263); [ zenon_intro zenon_H212 | zenon_intro zenon_H264 ].
% 54.87/55.09 apply (zenon_L161_); trivial.
% 54.87/55.09 apply (zenon_or_s _ _ zenon_H264); [ zenon_intro zenon_H220 | zenon_intro zenon_H265 ].
% 54.87/55.09 apply (zenon_L110_); trivial.
% 54.87/55.09 apply (zenon_or_s _ _ zenon_H265); [ zenon_intro zenon_H222 | zenon_intro zenon_H266 ].
% 54.87/55.09 apply (zenon_L111_); trivial.
% 54.87/55.09 apply (zenon_or_s _ _ zenon_H266); [ zenon_intro zenon_H225 | zenon_intro zenon_H267 ].
% 54.87/55.09 apply (zenon_L113_); trivial.
% 54.87/55.09 apply (zenon_or_s _ _ zenon_H267); [ zenon_intro zenon_H22d | zenon_intro zenon_H268 ].
% 54.87/55.09 apply (zenon_L114_); trivial.
% 54.87/55.09 apply (zenon_or_s _ _ zenon_H268); [ zenon_intro zenon_H230 | zenon_intro zenon_H269 ].
% 54.87/55.09 apply (zenon_L115_); trivial.
% 54.87/55.09 apply (zenon_or_s _ _ zenon_H269); [ zenon_intro zenon_H232 | zenon_intro zenon_H26a ].
% 54.87/55.09 apply (zenon_L116_); trivial.
% 54.87/55.09 apply (zenon_or_s _ _ zenon_H26a); [ zenon_intro zenon_H240 | zenon_intro zenon_H242 ].
% 54.87/55.09 apply (zenon_L166_); trivial.
% 54.87/55.09 apply (zenon_L125_); trivial.
% 54.87/55.09 apply (zenon_L695_); trivial.
% 54.87/55.09 apply (zenon_or_s _ _ zenon_H245); [ zenon_intro zenon_H147 | zenon_intro zenon_H254 ].
% 54.87/55.09 apply (zenon_L60_); trivial.
% 54.87/55.09 apply (zenon_or_s _ _ zenon_H254); [ zenon_intro zenon_H164 | zenon_intro zenon_H255 ].
% 54.87/55.09 apply (zenon_L66_); trivial.
% 54.87/55.09 apply (zenon_or_s _ _ zenon_H255); [ zenon_intro zenon_H197 | zenon_intro zenon_H256 ].
% 54.87/55.09 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_H18f. zenon_intro zenon_H198.
% 54.87/55.09 apply (zenon_and_s _ _ zenon_H198). zenon_intro zenon_H293. zenon_intro zenon_H227.
% 54.87/55.09 apply (zenon_and_s _ _ zenon_H227). zenon_intro zenon_H229. zenon_intro zenon_H228.
% 54.87/55.09 apply (zenon_and_s _ _ zenon_H228). zenon_intro zenon_H22b. zenon_intro zenon_H22a.
% 54.87/55.09 apply (zenon_and_s _ _ zenon_H22a). zenon_intro zenon_H224. zenon_intro zenon_H22c.
% 54.87/55.09 apply (zenon_or_s _ _ zenon_H22b); [ zenon_intro zenon_H23c | zenon_intro zenon_H23f ].
% 54.87/55.09 exact (zenon_H23c zenon_H202).
% 54.87/55.09 apply (zenon_or_s _ _ zenon_H224); [ zenon_intro zenon_H1d1 | zenon_intro zenon_H1d1 ].
% 54.87/55.09 apply (zenon_L708_); trivial.
% 54.87/55.09 apply (zenon_L708_); trivial.
% 54.87/55.09 apply (zenon_or_s _ _ zenon_H256); [ zenon_intro zenon_H199 | zenon_intro zenon_H257 ].
% 54.87/55.09 apply (zenon_L77_); trivial.
% 54.87/55.09 apply (zenon_or_s _ _ zenon_H257); [ zenon_intro zenon_H259 | zenon_intro zenon_H258 ].
% 54.87/55.09 apply (zenon_L700_); trivial.
% 54.87/55.09 apply (zenon_or_s _ _ zenon_H258); [ zenon_intro zenon_H1a5 | zenon_intro zenon_H262 ].
% 54.87/55.09 apply (zenon_L80_); trivial.
% 54.87/55.09 apply (zenon_or_s _ _ zenon_H262); [ zenon_intro zenon_H1ae | zenon_intro zenon_H263 ].
% 54.87/55.09 apply (zenon_L83_); trivial.
% 54.87/55.09 apply (zenon_or_s _ _ zenon_H263); [ zenon_intro zenon_H212 | zenon_intro zenon_H264 ].
% 54.87/55.09 apply (zenon_L169_); trivial.
% 54.87/55.09 apply (zenon_or_s _ _ zenon_H264); [ zenon_intro zenon_H220 | zenon_intro zenon_H265 ].
% 54.96/55.10 apply (zenon_L110_); trivial.
% 54.96/55.10 apply (zenon_or_s _ _ zenon_H265); [ zenon_intro zenon_H222 | zenon_intro zenon_H266 ].
% 54.96/55.10 apply (zenon_L111_); trivial.
% 54.96/55.10 apply (zenon_or_s _ _ zenon_H266); [ zenon_intro zenon_H225 | zenon_intro zenon_H267 ].
% 54.96/55.10 apply (zenon_L113_); trivial.
% 54.96/55.10 apply (zenon_or_s _ _ zenon_H267); [ zenon_intro zenon_H22d | zenon_intro zenon_H268 ].
% 54.96/55.10 apply (zenon_L114_); trivial.
% 54.96/55.10 apply (zenon_or_s _ _ zenon_H268); [ zenon_intro zenon_H230 | zenon_intro zenon_H269 ].
% 54.96/55.10 apply (zenon_L115_); trivial.
% 54.96/55.10 apply (zenon_or_s _ _ zenon_H269); [ zenon_intro zenon_H232 | zenon_intro zenon_H26a ].
% 54.96/55.10 apply (zenon_L116_); trivial.
% 54.96/55.10 apply (zenon_or_s _ _ zenon_H26a); [ zenon_intro zenon_H240 | zenon_intro zenon_H242 ].
% 54.96/55.10 apply (zenon_L166_); trivial.
% 54.96/55.10 apply (zenon_L125_); trivial.
% 54.96/55.10 apply (zenon_L532_); trivial.
% 54.96/55.10 apply (zenon_or_s _ _ zenon_H370); [ zenon_intro zenon_H335 | zenon_intro zenon_H363 ].
% 54.96/55.10 apply (zenon_L260_); trivial.
% 54.96/55.10 apply (zenon_L307_); trivial.
% 54.96/55.10 apply (zenon_L28_); trivial.
% 54.96/55.10 (* end of lemma zenon_L709_ *)
% 54.96/55.10 assert (zenon_L710_ : ((~((op2 (e23) (e23)) = (e21)))\/((op2 (e23) (e21)) = (e23))) -> (((op2 (e21) (e20)) = (e20))\/(((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e20)) = (e22))\/((op2 (e21) (e20)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> ((e23) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((e22) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> ((e20) = (op2 (e21) (e21))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> ((op2 (e22) (e21)) = (e22)) -> ((((op1 (e10) (op1 (e10) (e10))) = (e10))/\(((op1 (e10) (op1 (e10) (e11))) = (e11))/\(((op1 (e10) (op1 (e10) (e12))) = (e12))/\(((op1 (e10) (op1 (e10) (e13))) = (e13))/\(((~((op1 (e10) (e10)) = (e10)))\/((op1 (e10) (e10)) = (e10)))/\(((~((op1 (e11) (e11)) = (e10)))\/((op1 (e11) (e10)) = (e11)))/\(((~((op1 (e12) (e12)) = (e10)))\/((op1 (e12) (e10)) = (e12)))/\((~((op1 (e13) (e13)) = (e10)))\/((op1 (e13) (e10)) = (e13))))))))))\/((((op1 (e11) (op1 (e11) (e10))) = (e10))/\(((op1 (e11) (op1 (e11) (e11))) = (e11))/\(((op1 (e11) (op1 (e11) (e12))) = (e12))/\(((op1 (e11) (op1 (e11) (e13))) = (e13))/\(((~((op1 (e10) (e10)) = (e11)))\/((op1 (e10) (e11)) = (e10)))/\(((~((op1 (e11) (e11)) = (e11)))\/((op1 (e11) (e11)) = (e11)))/\(((~((op1 (e12) (e12)) = (e11)))\/((op1 (e12) (e11)) = (e12)))/\((~((op1 (e13) (e13)) = (e11)))\/((op1 (e13) (e11)) = (e13))))))))))\/((((op1 (e12) (op1 (e12) (e10))) = (e10))/\(((op1 (e12) (op1 (e12) (e11))) = (e11))/\(((op1 (e12) (op1 (e12) (e12))) = (e12))/\(((op1 (e12) (op1 (e12) (e13))) = (e13))/\(((~((op1 (e10) (e10)) = (e12)))\/((op1 (e10) (e12)) = (e10)))/\(((~((op1 (e11) (e11)) = (e12)))\/((op1 (e11) (e12)) = (e11)))/\(((~((op1 (e12) (e12)) = (e12)))\/((op1 (e12) (e12)) = (e12)))/\((~((op1 (e13) (e13)) = (e12)))\/((op1 (e13) (e12)) = (e13))))))))))\/(((op1 (e13) (op1 (e13) (e10))) = (e10))/\(((op1 (e13) (op1 (e13) (e11))) = (e11))/\(((op1 (e13) (op1 (e13) (e12))) = (e12))/\(((op1 (e13) (op1 (e13) (e13))) = (e13))/\(((~((op1 (e10) (e10)) = (e13)))\/((op1 (e10) (e13)) = (e10)))/\(((~((op1 (e11) (e11)) = (e13)))\/((op1 (e11) (e13)) = (e11)))/\(((~((op1 (e12) (e12)) = (e13)))\/((op1 (e12) (e13)) = (e12)))/\((~((op1 (e13) (e13)) = (e13)))\/((op1 (e13) (e13)) = (e13))))))))))))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e12) (e13)) = (e10))))) -> (((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e12) (e11)) = (e13))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> (((op2 (e20) (e21)) = (e20))\/(((op2 (e20) (e21)) = (e21))\/(((op2 (e20) (e21)) = (e22))\/((op2 (e20) (e21)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> (~((e21) = (e22))) -> (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> (~((op2 (e21) (e21)) = (e21))) -> (((op2 (e22) (e20)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e22) (e23)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e23) (e20)))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = 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(e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e21)) = (e22))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((e22) = (e23))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> (((op2 (e22) (e22)) = (e20))\/(((op2 (e22) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e22)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> ((op2 (e21) (op2 (e21) (e22))) = (e22)) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> ((op2 (e21) (op2 (e21) (e23))) = (e23)) -> (~((op2 (e21) 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(e10) (e10)) = (op1 (e10) (e11)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((e10) = (e12))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> ((e12) = (op1 (op1 (op1 (e11) (e11)) (op1 (e11) (e11))) (op1 (e11) (e11)))) -> ((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e12))\/((op1 (e11) (e10)) = (e13))))) -> (((op2 (e23) (e23)) = (e20))\/(((op2 (e23) (e23)) = (e21))\/(((op2 (e23) (e23)) = (e22))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> ((((op2 (e20) (e20)) = (e20))/\(((op2 (e20) (e20)) = (e20))/\(((~((op2 (e20) (e20)) = (e20)))\/(~((op2 (e20) (e20)) = (e20))))/\(((~((op2 (e20) (e21)) = (e20)))\/(~((op2 (e20) (e20)) = (e21))))/\(((~((op2 (e20) (e22)) = (e20)))\/(~((op2 (e20) (e20)) = (e22))))/\((~((op2 (e20) (e23)) = (e20)))\/(~((op2 (e20) (e20)) = (e23)))))))))\/((((op2 (e20) (e21)) = (e20))/\(((op2 (e21) (e20)) = (e20))/\(((~((op2 (e21) (e20)) = (e21)))\/(~((op2 (e21) (e21)) = (e20))))/\(((~((op2 (e21) (e21)) = (e21)))\/(~((op2 (e21) (e21)) = (e21))))/\(((~((op2 (e21) (e22)) = (e21)))\/(~((op2 (e21) (e21)) = (e22))))/\((~((op2 (e21) (e23)) = (e21)))\/(~((op2 (e21) (e21)) = (e23)))))))))\/((((op2 (e20) (e22)) = (e20))/\(((op2 (e22) (e20)) = (e20))/\(((~((op2 (e22) (e20)) = (e22)))\/(~((op2 (e22) (e22)) = (e20))))/\(((~((op2 (e22) (e21)) = (e22)))\/(~((op2 (e22) (e22)) = (e21))))/\(((~((op2 (e22) (e22)) = (e22)))\/(~((op2 (e22) (e22)) = (e22))))/\((~((op2 (e22) (e23)) = (e22)))\/(~((op2 (e22) (e22)) = (e23)))))))))\/((((op2 (e20) (e23)) = (e20))/\(((op2 (e23) (e20)) = (e20))/\(((~((op2 (e23) (e20)) = (e23)))\/(~((op2 (e23) (e23)) = (e20))))/\(((~((op2 (e23) (e21)) = (e23)))\/(~((op2 (e23) (e23)) = (e21))))/\(((~((op2 (e23) (e22)) = (e23)))\/(~((op2 (e23) (e23)) = (e22))))/\((~((op2 (e23) (e23)) = (e23)))\/(~((op2 (e23) (e23)) = (e23)))))))))\/((((op2 (e21) (e20)) = (e21))/\(((op2 (e20) (e21)) = (e21))/\(((~((op2 (e20) (e20)) = (e20)))\/(~((op2 (e20) (e20)) = (e20))))/\(((~((op2 (e20) (e21)) = (e20)))\/(~((op2 (e20) (e20)) = (e21))))/\(((~((op2 (e20) (e22)) = (e20)))\/(~((op2 (e20) (e20)) = (e22))))/\((~((op2 (e20) (e23)) = (e20)))\/(~((op2 (e20) (e20)) = (e23)))))))))\/((((op2 (e21) (e21)) = (e21))/\(((op2 (e21) (e21)) = (e21))/\(((~((op2 (e21) (e20)) = (e21)))\/(~((op2 (e21) (e21)) = (e20))))/\(((~((op2 (e21) (e21)) = (e21)))\/(~((op2 (e21) (e21)) = (e21))))/\(((~((op2 (e21) (e22)) = (e21)))\/(~((op2 (e21) (e21)) = (e22))))/\((~((op2 (e21) (e23)) = (e21)))\/(~((op2 (e21) (e21)) = (e23)))))))))\/((((op2 (e21) (e22)) = (e21))/\(((op2 (e22) (e21)) = (e21))/\(((~((op2 (e22) (e20)) = (e22)))\/(~((op2 (e22) (e22)) = (e20))))/\(((~((op2 (e22) (e21)) = (e22)))\/(~((op2 (e22) (e22)) = (e21))))/\(((~((op2 (e22) (e22)) = (e22)))\/(~((op2 (e22) (e22)) = (e22))))/\((~((op2 (e22) (e23)) = (e22)))\/(~((op2 (e22) (e22)) = (e23)))))))))\/((((op2 (e21) (e23)) = (e21))/\(((op2 (e23) (e21)) = (e21))/\(((~((op2 (e23) (e20)) = (e23)))\/(~((op2 (e23) (e23)) = (e20))))/\(((~((op2 (e23) (e21)) = (e23)))\/(~((op2 (e23) (e23)) = (e21))))/\(((~((op2 (e23) (e22)) = (e23)))\/(~((op2 (e23) (e23)) = (e22))))/\((~((op2 (e23) (e23)) = (e23)))\/(~((op2 (e23) (e23)) = (e23)))))))))\/((((op2 (e22) (e20)) = (e22))/\(((op2 (e20) (e22)) = (e22))/\(((~((op2 (e20) (e20)) = (e20)))\/(~((op2 (e20) (e20)) = (e20))))/\(((~((op2 (e20) (e21)) = (e20)))\/(~((op2 (e20) (e20)) = (e21))))/\(((~((op2 (e20) (e22)) = (e20)))\/(~((op2 (e20) (e20)) = (e22))))/\((~((op2 (e20) (e23)) = (e20)))\/(~((op2 (e20) (e20)) = (e23)))))))))\/((((op2 (e22) (e21)) = (e22))/\(((op2 (e21) (e22)) = (e22))/\(((~((op2 (e21) (e20)) = (e21)))\/(~((op2 (e21) (e21)) = (e20))))/\(((~((op2 (e21) (e21)) = (e21)))\/(~((op2 (e21) (e21)) = (e21))))/\(((~((op2 (e21) (e22)) = (e21)))\/(~((op2 (e21) (e21)) = (e22))))/\((~((op2 (e21) (e23)) = (e21)))\/(~((op2 (e21) (e21)) = (e23)))))))))\/((((op2 (e22) (e22)) = (e22))/\(((op2 (e22) (e22)) = (e22))/\(((~((op2 (e22) (e20)) = (e22)))\/(~((op2 (e22) (e22)) = (e20))))/\(((~((op2 (e22) (e21)) = (e22)))\/(~((op2 (e22) (e22)) = (e21))))/\(((~((op2 (e22) (e22)) = (e22)))\/(~((op2 (e22) (e22)) = (e22))))/\((~((op2 (e22) (e23)) = (e22)))\/(~((op2 (e22) (e22)) = (e23)))))))))\/((((op2 (e22) (e23)) = (e22))/\(((op2 (e23) (e22)) = (e22))/\(((~((op2 (e23) (e20)) = (e23)))\/(~((op2 (e23) (e23)) = (e20))))/\(((~((op2 (e23) (e21)) = (e23)))\/(~((op2 (e23) (e23)) = (e21))))/\(((~((op2 (e23) (e22)) = (e23)))\/(~((op2 (e23) (e23)) = (e22))))/\((~((op2 (e23) (e23)) = (e23)))\/(~((op2 (e23) (e23)) = (e23)))))))))\/((((op2 (e23) (e20)) = (e23))/\(((op2 (e20) (e23)) = (e23))/\(((~((op2 (e20) (e20)) = (e20)))\/(~((op2 (e20) (e20)) = (e20))))/\(((~((op2 (e20) (e21)) = (e20)))\/(~((op2 (e20) (e20)) = (e21))))/\(((~((op2 (e20) (e22)) = (e20)))\/(~((op2 (e20) (e20)) = (e22))))/\((~((op2 (e20) (e23)) = (e20)))\/(~((op2 (e20) (e20)) = (e23)))))))))\/((((op2 (e23) (e21)) = (e23))/\(((op2 (e21) (e23)) = (e23))/\(((~((op2 (e21) (e20)) = (e21)))\/(~((op2 (e21) (e21)) = (e20))))/\(((~((op2 (e21) (e21)) = (e21)))\/(~((op2 (e21) (e21)) = (e21))))/\(((~((op2 (e21) (e22)) = (e21)))\/(~((op2 (e21) (e21)) = (e22))))/\((~((op2 (e21) (e23)) = (e21)))\/(~((op2 (e21) (e21)) = (e23)))))))))\/((((op2 (e23) (e22)) = (e23))/\(((op2 (e22) (e23)) = (e23))/\(((~((op2 (e22) (e20)) = (e22)))\/(~((op2 (e22) (e22)) = (e20))))/\(((~((op2 (e22) (e21)) = (e22)))\/(~((op2 (e22) (e22)) = (e21))))/\(((~((op2 (e22) (e22)) = (e22)))\/(~((op2 (e22) (e22)) = (e22))))/\((~((op2 (e22) (e23)) = (e22)))\/(~((op2 (e22) (e22)) = (e23)))))))))\/(((op2 (e23) (e23)) = (e23))/\(((op2 (e23) (e23)) = (e23))/\(((~((op2 (e23) (e20)) = (e23)))\/(~((op2 (e23) (e23)) = (e20))))/\(((~((op2 (e23) (e21)) = (e23)))\/(~((op2 (e23) (e23)) = (e21))))/\(((~((op2 (e23) (e22)) = (e23)))\/(~((op2 (e23) (e23)) = (e22))))/\((~((op2 (e23) (e23)) = (e23)))\/(~((op2 (e23) (e23)) = (e23)))))))))))))))))))))))) -> False).
% 54.96/55.10 do 0 intro. intros zenon_H3c1 zenon_H4a zenon_H45 zenon_H3b zenon_H3f zenon_H3e zenon_H33 zenon_H32 zenon_Hd3 zenon_H36e zenon_H355 zenon_H345 zenon_H35d zenon_H2d1 zenon_H2d9 zenon_H2e6 zenon_H2e2 zenon_H2ea zenon_H30b zenon_H321 zenon_H322 zenon_H325 zenon_H2f6 zenon_H2fb zenon_H2fd zenon_H28c zenon_H289 zenon_H93 zenon_H286 zenon_H8d zenon_Hb0 zenon_H27e zenon_Hf1 zenon_H28d zenon_H3f1 zenon_H55 zenon_H3b4 zenon_H3af zenon_H116 zenon_H474 zenon_H313 zenon_H2b1 zenon_H2a5 zenon_H2a3 zenon_H2e7 zenon_H30e zenon_H2b9 zenon_H301 zenon_H2f8 zenon_H360 zenon_H316 zenon_H32b zenon_H2ad zenon_H358 zenon_H4b1 zenon_H461 zenon_H270 zenon_H2c2 zenon_H32e zenon_H9f zenon_Hfc zenon_H3b1 zenon_H60 zenon_H282 zenon_H39d zenon_H3b7 zenon_Hec zenon_H11f zenon_H37d zenon_H100 zenon_H3a8 zenon_H481 zenon_H47c zenon_H395 zenon_H47a zenon_H6e zenon_H47e zenon_H399 zenon_H98 zenon_Ha5 zenon_H4c2 zenon_H485 zenon_H328 zenon_H2c9 zenon_H4c3 zenon_H2c0 zenon_H13 zenon_H245 zenon_H23b zenon_H236 zenon_H21a zenon_H20c zenon_H1be zenon_H1b1 zenon_H1de zenon_H1cc zenon_H1d8 zenon_H1da zenon_H1e8 zenon_H1ed zenon_H1f4 zenon_H1f7 zenon_H1fa zenon_H1fd zenon_H204 zenon_H206 zenon_H209 zenon_H1a9 zenon_H17 zenon_H1e zenon_H25 zenon_H1a0 zenon_H19d zenon_H246 zenon_H192 zenon_H18e zenon_H18a zenon_H16c zenon_H172 zenon_H179 zenon_H180 zenon_H186 zenon_H14b zenon_H154 zenon_H155 zenon_H15 zenon_H15a zenon_H15f zenon_H382 zenon_H3c2 zenon_H489 zenon_Hc5 zenon_Hca zenon_H67 zenon_H38f zenon_H394 zenon_H128.
% 54.96/55.10 apply (zenon_or_s _ _ zenon_H3c1); [ zenon_intro zenon_H383 | zenon_intro zenon_He8 ].
% 54.96/55.10 apply (zenon_or_s _ _ zenon_H128); [ zenon_intro zenon_H2b | zenon_intro zenon_H134 ].
% 54.96/55.10 apply (zenon_L5_); trivial.
% 54.96/55.10 apply (zenon_or_s _ _ zenon_H134); [ zenon_intro zenon_H4f | zenon_intro zenon_H135 ].
% 54.96/55.10 apply (zenon_L12_); trivial.
% 54.96/55.10 apply (zenon_or_s _ _ zenon_H135); [ zenon_intro zenon_H77 | zenon_intro zenon_H136 ].
% 54.96/55.10 apply (zenon_and_s _ _ zenon_H77). zenon_intro zenon_H57. zenon_intro zenon_H78.
% 54.96/55.10 apply (zenon_and_s _ _ zenon_H78). zenon_intro zenon_H121. zenon_intro zenon_Hda.
% 54.96/55.10 apply (zenon_and_s _ _ zenon_Hda). zenon_intro zenon_Hdc. zenon_intro zenon_Hdb.
% 54.96/55.10 apply (zenon_and_s _ _ zenon_Hdb). zenon_intro zenon_Hde. zenon_intro zenon_Hdd.
% 54.96/55.10 apply (zenon_and_s _ _ zenon_Hdd). zenon_intro zenon_Hd5. zenon_intro zenon_Hdf.
% 54.96/55.10 apply (zenon_or_s _ _ zenon_Hde); [ zenon_intro zenon_Hf2 | zenon_intro zenon_H101 ].
% 54.96/55.10 exact (zenon_Hf2 zenon_Hd3).
% 54.96/55.10 apply (zenon_or_s _ _ zenon_Hd5); [ zenon_intro zenon_Hd7 | zenon_intro zenon_Hd7 ].
% 54.96/55.10 apply (zenon_L689_); trivial.
% 54.96/55.10 apply (zenon_L689_); trivial.
% 54.96/55.10 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_H89 | zenon_intro zenon_H137 ].
% 54.96/55.10 apply (zenon_L316_); trivial.
% 54.96/55.10 apply (zenon_or_s _ _ zenon_H137); [ zenon_intro zenon_Hb6 | zenon_intro zenon_H138 ].
% 54.96/55.10 apply (zenon_and_s _ _ zenon_Hb6). zenon_intro zenon_H4e. zenon_intro zenon_Hb8.
% 54.96/55.10 apply (zenon_and_s _ _ zenon_Hb8). zenon_intro zenon_Hb9. zenon_intro zenon_H2e.
% 54.96/55.10 apply (zenon_and_s _ _ zenon_H2e). zenon_intro zenon_H30. zenon_intro zenon_H2f.
% 54.96/55.10 apply (zenon_and_s _ _ zenon_H2f). zenon_intro zenon_Hbb. zenon_intro zenon_Hba.
% 54.96/55.10 apply (zenon_and_s _ _ zenon_Hba). zenon_intro zenon_Hbc. zenon_intro zenon_Haa.
% 54.96/55.10 apply (zenon_or_s _ _ zenon_Haa); [ zenon_intro zenon_Had | zenon_intro zenon_Ha6 ].
% 54.96/55.10 apply (zenon_or_s _ _ zenon_H36e); [ zenon_intro zenon_H244 | zenon_intro zenon_H36f ].
% 54.96/55.10 apply (zenon_L126_); trivial.
% 54.96/55.10 apply (zenon_or_s _ _ zenon_H36f); [ zenon_intro zenon_H371 | zenon_intro zenon_H370 ].
% 54.96/55.10 apply (zenon_and_s _ _ zenon_H371). zenon_intro zenon_H292. zenon_intro zenon_H372.
% 54.96/55.10 apply (zenon_and_s _ _ zenon_H372). zenon_intro zenon_H2a6. zenon_intro zenon_H373.
% 54.96/55.10 apply (zenon_and_s _ _ zenon_H373). zenon_intro zenon_H375. zenon_intro zenon_H374.
% 54.96/55.10 apply (zenon_and_s _ _ zenon_H374). zenon_intro zenon_H29e. zenon_intro zenon_H376.
% 54.96/55.10 apply (zenon_and_s _ _ zenon_H376). zenon_intro zenon_H378. zenon_intro zenon_H377.
% 54.96/55.10 apply (zenon_and_s _ _ zenon_H377). zenon_intro zenon_H37a. zenon_intro zenon_H379.
% 54.96/55.10 apply (zenon_and_s _ _ zenon_H379). zenon_intro zenon_H37c. zenon_intro zenon_H37b.
% 54.96/55.10 apply (zenon_or_s _ _ zenon_H37a); [ zenon_intro zenon_H473 | zenon_intro zenon_H1a7 ].
% 54.96/55.10 apply (zenon_or_s _ _ zenon_H37c); [ zenon_intro zenon_H23f | zenon_intro zenon_H202 ].
% 54.96/55.10 apply (zenon_or_s _ _ zenon_H37b); [ zenon_intro zenon_H20d | zenon_intro zenon_H1c3 ].
% 54.96/55.10 apply (zenon_or_s _ _ zenon_H245); [ zenon_intro zenon_H147 | zenon_intro zenon_H254 ].
% 54.96/55.10 apply (zenon_L60_); trivial.
% 54.96/55.10 apply (zenon_or_s _ _ zenon_H254); [ zenon_intro zenon_H164 | zenon_intro zenon_H255 ].
% 54.96/55.10 apply (zenon_L66_); trivial.
% 54.96/55.10 apply (zenon_or_s _ _ zenon_H255); [ zenon_intro zenon_H197 | zenon_intro zenon_H256 ].
% 54.96/55.10 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_H18f. zenon_intro zenon_H198.
% 54.96/55.10 apply (zenon_and_s _ _ zenon_H198). zenon_intro zenon_H293. zenon_intro zenon_H227.
% 54.96/55.10 apply (zenon_and_s _ _ zenon_H227). zenon_intro zenon_H229. zenon_intro zenon_H228.
% 54.96/55.10 apply (zenon_and_s _ _ zenon_H228). zenon_intro zenon_H22b. zenon_intro zenon_H22a.
% 54.96/55.10 apply (zenon_and_s _ _ zenon_H22a). zenon_intro zenon_H224. zenon_intro zenon_H22c.
% 54.96/55.10 apply (zenon_or_s _ _ zenon_H224); [ zenon_intro zenon_H1d1 | zenon_intro zenon_H1d1 ].
% 54.96/55.10 apply (zenon_L691_); trivial.
% 54.96/55.10 apply (zenon_L691_); trivial.
% 54.96/55.10 apply (zenon_or_s _ _ zenon_H256); [ zenon_intro zenon_H199 | zenon_intro zenon_H257 ].
% 54.96/55.10 apply (zenon_L77_); trivial.
% 54.96/55.10 apply (zenon_or_s _ _ zenon_H257); [ zenon_intro zenon_H259 | zenon_intro zenon_H258 ].
% 54.96/55.10 apply (zenon_L693_); trivial.
% 54.96/55.10 apply (zenon_or_s _ _ zenon_H258); [ zenon_intro zenon_H1a5 | zenon_intro zenon_H262 ].
% 54.96/55.10 apply (zenon_L80_); trivial.
% 54.96/55.10 apply (zenon_or_s _ _ zenon_H262); [ zenon_intro zenon_H1ae | zenon_intro zenon_H263 ].
% 54.96/55.10 apply (zenon_L83_); trivial.
% 54.96/55.10 apply (zenon_or_s _ _ zenon_H263); [ zenon_intro zenon_H212 | zenon_intro zenon_H264 ].
% 54.96/55.10 apply (zenon_L161_); trivial.
% 54.96/55.10 apply (zenon_or_s _ _ zenon_H264); [ zenon_intro zenon_H220 | zenon_intro zenon_H265 ].
% 54.96/55.10 apply (zenon_L110_); trivial.
% 54.96/55.10 apply (zenon_or_s _ _ zenon_H265); [ zenon_intro zenon_H222 | zenon_intro zenon_H266 ].
% 54.96/55.10 apply (zenon_L111_); trivial.
% 54.96/55.10 apply (zenon_or_s _ _ zenon_H266); [ zenon_intro zenon_H225 | zenon_intro zenon_H267 ].
% 54.96/55.10 apply (zenon_L113_); trivial.
% 54.96/55.10 apply (zenon_or_s _ _ zenon_H267); [ zenon_intro zenon_H22d | zenon_intro zenon_H268 ].
% 54.96/55.10 apply (zenon_L114_); trivial.
% 54.96/55.10 apply (zenon_or_s _ _ zenon_H268); [ zenon_intro zenon_H230 | zenon_intro zenon_H269 ].
% 54.96/55.10 apply (zenon_L115_); trivial.
% 54.96/55.10 apply (zenon_or_s _ _ zenon_H269); [ zenon_intro zenon_H232 | zenon_intro zenon_H26a ].
% 54.96/55.10 apply (zenon_L116_); trivial.
% 54.96/55.10 apply (zenon_or_s _ _ zenon_H26a); [ zenon_intro zenon_H240 | zenon_intro zenon_H242 ].
% 54.96/55.10 apply (zenon_L166_); trivial.
% 54.96/55.10 apply (zenon_L125_); trivial.
% 54.96/55.10 apply (zenon_L695_); trivial.
% 54.96/55.10 apply (zenon_or_s _ _ zenon_H245); [ zenon_intro zenon_H147 | zenon_intro zenon_H254 ].
% 54.96/55.10 apply (zenon_L60_); trivial.
% 54.96/55.10 apply (zenon_or_s _ _ zenon_H254); [ zenon_intro zenon_H164 | zenon_intro zenon_H255 ].
% 54.96/55.10 apply (zenon_L66_); trivial.
% 54.96/55.10 apply (zenon_or_s _ _ zenon_H255); [ zenon_intro zenon_H197 | zenon_intro zenon_H256 ].
% 54.96/55.10 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_H18f. zenon_intro zenon_H198.
% 54.96/55.10 apply (zenon_and_s _ _ zenon_H198). zenon_intro zenon_H293. zenon_intro zenon_H227.
% 54.96/55.10 apply (zenon_and_s _ _ zenon_H227). zenon_intro zenon_H229. zenon_intro zenon_H228.
% 54.96/55.10 apply (zenon_and_s _ _ zenon_H228). zenon_intro zenon_H22b. zenon_intro zenon_H22a.
% 54.96/55.10 apply (zenon_and_s _ _ zenon_H22a). zenon_intro zenon_H224. zenon_intro zenon_H22c.
% 54.96/55.10 apply (zenon_or_s _ _ zenon_H22b); [ zenon_intro zenon_H23c | zenon_intro zenon_H23f ].
% 54.96/55.10 exact (zenon_H23c zenon_H202).
% 54.96/55.10 apply (zenon_or_s _ _ zenon_H224); [ zenon_intro zenon_H1d1 | zenon_intro zenon_H1d1 ].
% 54.96/55.10 apply (zenon_L697_); trivial.
% 54.96/55.10 apply (zenon_L697_); trivial.
% 54.96/55.10 apply (zenon_or_s _ _ zenon_H256); [ zenon_intro zenon_H199 | zenon_intro zenon_H257 ].
% 54.96/55.10 apply (zenon_L77_); trivial.
% 54.96/55.10 apply (zenon_or_s _ _ zenon_H257); [ zenon_intro zenon_H259 | zenon_intro zenon_H258 ].
% 54.96/55.10 apply (zenon_L700_); trivial.
% 54.96/55.10 apply (zenon_or_s _ _ zenon_H258); [ zenon_intro zenon_H1a5 | zenon_intro zenon_H262 ].
% 54.96/55.10 apply (zenon_L80_); trivial.
% 54.96/55.10 apply (zenon_or_s _ _ zenon_H262); [ zenon_intro zenon_H1ae | zenon_intro zenon_H263 ].
% 54.96/55.10 apply (zenon_L83_); trivial.
% 54.96/55.10 apply (zenon_or_s _ _ zenon_H263); [ zenon_intro zenon_H212 | zenon_intro zenon_H264 ].
% 54.96/55.10 apply (zenon_L169_); trivial.
% 54.96/55.10 apply (zenon_or_s _ _ zenon_H264); [ zenon_intro zenon_H220 | zenon_intro zenon_H265 ].
% 54.96/55.10 apply (zenon_L110_); trivial.
% 54.96/55.10 apply (zenon_or_s _ _ zenon_H265); [ zenon_intro zenon_H222 | zenon_intro zenon_H266 ].
% 54.96/55.10 apply (zenon_L111_); trivial.
% 54.96/55.10 apply (zenon_or_s _ _ zenon_H266); [ zenon_intro zenon_H225 | zenon_intro zenon_H267 ].
% 54.96/55.10 apply (zenon_L113_); trivial.
% 54.96/55.10 apply (zenon_or_s _ _ zenon_H267); [ zenon_intro zenon_H22d | zenon_intro zenon_H268 ].
% 54.96/55.10 apply (zenon_L114_); trivial.
% 54.96/55.10 apply (zenon_or_s _ _ zenon_H268); [ zenon_intro zenon_H230 | zenon_intro zenon_H269 ].
% 54.96/55.10 apply (zenon_L115_); trivial.
% 54.96/55.10 apply (zenon_or_s _ _ zenon_H269); [ zenon_intro zenon_H232 | zenon_intro zenon_H26a ].
% 54.96/55.10 apply (zenon_L116_); trivial.
% 54.96/55.10 apply (zenon_or_s _ _ zenon_H26a); [ zenon_intro zenon_H240 | zenon_intro zenon_H242 ].
% 54.96/55.10 apply (zenon_L166_); trivial.
% 54.96/55.10 apply (zenon_L125_); trivial.
% 54.96/55.10 apply (zenon_L532_); trivial.
% 54.96/55.10 apply (zenon_or_s _ _ zenon_H370); [ zenon_intro zenon_H335 | zenon_intro zenon_H363 ].
% 54.96/55.10 apply (zenon_L260_); trivial.
% 54.96/55.10 apply (zenon_L307_); trivial.
% 54.96/55.10 apply (zenon_L28_); trivial.
% 54.96/55.10 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H139 ].
% 54.96/55.10 apply (zenon_L32_); trivial.
% 54.96/55.10 apply (zenon_or_s _ _ zenon_H139); [ zenon_intro zenon_Hc8 | zenon_intro zenon_H13a ].
% 54.96/55.10 apply (zenon_L35_); trivial.
% 54.96/55.10 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_Hcd | zenon_intro zenon_H13b ].
% 54.96/55.10 apply (zenon_L321_); trivial.
% 54.96/55.10 apply (zenon_or_s _ _ zenon_H13b); [ zenon_intro zenon_Hcf | zenon_intro zenon_H13c ].
% 54.96/55.10 apply (zenon_L38_); trivial.
% 54.96/55.10 apply (zenon_or_s _ _ zenon_H13c); [ zenon_intro zenon_Hd1 | zenon_intro zenon_H13d ].
% 54.96/55.10 apply (zenon_L39_); trivial.
% 54.96/55.10 apply (zenon_or_s _ _ zenon_H13d); [ zenon_intro zenon_Hd8 | zenon_intro zenon_H13e ].
% 54.96/55.10 apply (zenon_L41_); trivial.
% 54.96/55.10 apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_He0 | zenon_intro zenon_H13f ].
% 54.96/55.10 apply (zenon_L42_); trivial.
% 54.96/55.10 apply (zenon_or_s _ _ zenon_H13f); [ zenon_intro zenon_He3 | zenon_intro zenon_H140 ].
% 54.96/55.10 apply (zenon_L43_); trivial.
% 54.96/55.10 apply (zenon_or_s _ _ zenon_H140); [ zenon_intro zenon_He6 | zenon_intro zenon_H141 ].
% 54.96/55.10 apply (zenon_L44_); trivial.
% 54.96/55.10 apply (zenon_or_s _ _ zenon_H141); [ zenon_intro zenon_H142 | zenon_intro zenon_H108 ].
% 54.96/55.10 apply (zenon_L328_); trivial.
% 54.96/55.10 apply (zenon_L54_); trivial.
% 54.96/55.10 apply (zenon_or_s _ _ zenon_H128); [ zenon_intro zenon_H2b | zenon_intro zenon_H134 ].
% 54.96/55.10 apply (zenon_L5_); trivial.
% 54.96/55.10 apply (zenon_or_s _ _ zenon_H134); [ zenon_intro zenon_H4f | zenon_intro zenon_H135 ].
% 54.96/55.10 apply (zenon_L12_); trivial.
% 54.96/55.10 apply (zenon_or_s _ _ zenon_H135); [ zenon_intro zenon_H77 | zenon_intro zenon_H136 ].
% 54.96/55.10 apply (zenon_and_s _ _ zenon_H77). zenon_intro zenon_H57. zenon_intro zenon_H78.
% 54.96/55.10 apply (zenon_and_s _ _ zenon_H78). zenon_intro zenon_H121. zenon_intro zenon_Hda.
% 54.96/55.10 apply (zenon_and_s _ _ zenon_Hda). zenon_intro zenon_Hdc. zenon_intro zenon_Hdb.
% 54.96/55.10 apply (zenon_and_s _ _ zenon_Hdb). zenon_intro zenon_Hde. zenon_intro zenon_Hdd.
% 54.96/55.10 apply (zenon_and_s _ _ zenon_Hdd). zenon_intro zenon_Hd5. zenon_intro zenon_Hdf.
% 54.96/55.10 apply (zenon_or_s _ _ zenon_Hde); [ zenon_intro zenon_Hf2 | zenon_intro zenon_H101 ].
% 54.96/55.10 exact (zenon_Hf2 zenon_Hd3).
% 54.96/55.10 apply (zenon_or_s _ _ zenon_Hd5); [ zenon_intro zenon_Hd7 | zenon_intro zenon_Hd7 ].
% 54.96/55.10 apply (zenon_L706_); trivial.
% 54.96/55.10 apply (zenon_L706_); trivial.
% 54.96/55.10 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_H89 | zenon_intro zenon_H137 ].
% 54.96/55.10 apply (zenon_L329_); trivial.
% 54.96/55.10 apply (zenon_or_s _ _ zenon_H137); [ zenon_intro zenon_Hb6 | zenon_intro zenon_H138 ].
% 54.96/55.10 apply (zenon_L709_); trivial.
% 54.96/55.10 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H139 ].
% 54.96/55.10 apply (zenon_L32_); trivial.
% 54.96/55.10 apply (zenon_or_s _ _ zenon_H139); [ zenon_intro zenon_Hc8 | zenon_intro zenon_H13a ].
% 54.96/55.10 apply (zenon_L35_); trivial.
% 54.96/55.10 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_Hcd | zenon_intro zenon_H13b ].
% 54.96/55.10 apply (zenon_L331_); trivial.
% 54.96/55.10 apply (zenon_or_s _ _ zenon_H13b); [ zenon_intro zenon_Hcf | zenon_intro zenon_H13c ].
% 54.96/55.10 apply (zenon_L38_); trivial.
% 54.96/55.10 apply (zenon_or_s _ _ zenon_H13c); [ zenon_intro zenon_Hd1 | zenon_intro zenon_H13d ].
% 54.96/55.10 apply (zenon_L39_); trivial.
% 54.96/55.10 apply (zenon_or_s _ _ zenon_H13d); [ zenon_intro zenon_Hd8 | zenon_intro zenon_H13e ].
% 54.96/55.10 apply (zenon_L41_); trivial.
% 54.96/55.10 apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_He0 | zenon_intro zenon_H13f ].
% 54.96/55.10 apply (zenon_L42_); trivial.
% 54.96/55.10 apply (zenon_or_s _ _ zenon_H13f); [ zenon_intro zenon_He3 | zenon_intro zenon_H140 ].
% 54.96/55.10 apply (zenon_L43_); trivial.
% 54.96/55.10 apply (zenon_or_s _ _ zenon_H140); [ zenon_intro zenon_He6 | zenon_intro zenon_H141 ].
% 54.96/55.10 apply (zenon_L44_); trivial.
% 54.96/55.10 apply (zenon_or_s _ _ zenon_H141); [ zenon_intro zenon_H142 | zenon_intro zenon_H108 ].
% 54.96/55.10 apply (zenon_L328_); trivial.
% 54.96/55.10 apply (zenon_L54_); trivial.
% 54.96/55.10 (* end of lemma zenon_L710_ *)
% 54.96/55.10 assert (zenon_L711_ : (((op2 (e20) (e21)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e23) (e21)) = (e22))))) -> ((op2 (e21) (e22)) = (e22)) -> ((op2 (e23) (e20)) = (e22)) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> ((op1 (e10) (e12)) = (e10)) -> ((op1 (e12) (e10)) = (e10)) -> (~((op1 (e11) (e11)) = (e11))) -> ((op1 (e11) (op1 (e11) (e12))) = (e12)) -> ((op1 (e11) (op1 (e11) (e11))) = (e11)) -> ((op1 (e11) (op1 (e11) (e10))) = (e10)) -> (~((op1 (e12) (e12)) = (e11))) -> (~((op1 (e12) (e13)) = (e12))) -> (~((op1 (e12) (e12)) = (e12))) -> ((op1 (e11) (op1 (e11) (e13))) = (e13)) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (((op2 (e20) (e22)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e23) (e22)) = (e23))))) -> (~((op2 (e20) (e23)) = (e20))) -> ((op2 (e20) (e21)) = (e21)) -> ((op2 (e20) (e20)) = (e23)) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> ((((op2 (e20) (e20)) = (e20))/\(((op2 (e20) (e20)) = (e20))/\(((~((op2 (e20) (e20)) = (e20)))\/(~((op2 (e20) (e20)) = (e20))))/\(((~((op2 (e20) (e21)) = (e20)))\/(~((op2 (e20) (e20)) = (e21))))/\(((~((op2 (e20) (e22)) = (e20)))\/(~((op2 (e20) (e20)) = (e22))))/\((~((op2 (e20) (e23)) = (e20)))\/(~((op2 (e20) (e20)) = (e23)))))))))\/((((op2 (e20) (e21)) = (e20))/\(((op2 (e21) (e20)) = (e20))/\(((~((op2 (e21) (e20)) = (e21)))\/(~((op2 (e21) (e21)) = (e20))))/\(((~((op2 (e21) (e21)) = (e21)))\/(~((op2 (e21) (e21)) = (e21))))/\(((~((op2 (e21) (e22)) = (e21)))\/(~((op2 (e21) (e21)) = (e22))))/\((~((op2 (e21) (e23)) = (e21)))\/(~((op2 (e21) (e21)) = (e23)))))))))\/((((op2 (e20) (e22)) = (e20))/\(((op2 (e22) (e20)) = (e20))/\(((~((op2 (e22) (e20)) = (e22)))\/(~((op2 (e22) (e22)) = (e20))))/\(((~((op2 (e22) (e21)) = (e22)))\/(~((op2 (e22) (e22)) = (e21))))/\(((~((op2 (e22) (e22)) = (e22)))\/(~((op2 (e22) (e22)) = (e22))))/\((~((op2 (e22) (e23)) = (e22)))\/(~((op2 (e22) (e22)) = (e23)))))))))\/((((op2 (e20) (e23)) = (e20))/\(((op2 (e23) (e20)) = (e20))/\(((~((op2 (e23) (e20)) = (e23)))\/(~((op2 (e23) (e23)) = (e20))))/\(((~((op2 (e23) (e21)) = (e23)))\/(~((op2 (e23) (e23)) = (e21))))/\(((~((op2 (e23) (e22)) = (e23)))\/(~((op2 (e23) (e23)) = (e22))))/\((~((op2 (e23) (e23)) = (e23)))\/(~((op2 (e23) (e23)) = (e23)))))))))\/((((op2 (e21) (e20)) = (e21))/\(((op2 (e20) (e21)) = (e21))/\(((~((op2 (e20) (e20)) = (e20)))\/(~((op2 (e20) (e20)) = (e20))))/\(((~((op2 (e20) (e21)) = (e20)))\/(~((op2 (e20) (e20)) = (e21))))/\(((~((op2 (e20) (e22)) = (e20)))\/(~((op2 (e20) (e20)) = (e22))))/\((~((op2 (e20) (e23)) = (e20)))\/(~((op2 (e20) (e20)) = (e23)))))))))\/((((op2 (e21) (e21)) = (e21))/\(((op2 (e21) (e21)) = (e21))/\(((~((op2 (e21) (e20)) = (e21)))\/(~((op2 (e21) (e21)) = (e20))))/\(((~((op2 (e21) (e21)) = (e21)))\/(~((op2 (e21) (e21)) = (e21))))/\(((~((op2 (e21) (e22)) = (e21)))\/(~((op2 (e21) (e21)) = (e22))))/\((~((op2 (e21) (e23)) = (e21)))\/(~((op2 (e21) (e21)) = (e23)))))))))\/((((op2 (e21) (e22)) = (e21))/\(((op2 (e22) (e21)) = (e21))/\(((~((op2 (e22) (e20)) = (e22)))\/(~((op2 (e22) (e22)) = (e20))))/\(((~((op2 (e22) (e21)) = (e22)))\/(~((op2 (e22) (e22)) = (e21))))/\(((~((op2 (e22) (e22)) = (e22)))\/(~((op2 (e22) (e22)) = (e22))))/\((~((op2 (e22) (e23)) = (e22)))\/(~((op2 (e22) (e22)) = (e23)))))))))\/((((op2 (e21) (e23)) = (e21))/\(((op2 (e23) (e21)) = (e21))/\(((~((op2 (e23) (e20)) = (e23)))\/(~((op2 (e23) (e23)) = (e20))))/\(((~((op2 (e23) (e21)) = (e23)))\/(~((op2 (e23) (e23)) = (e21))))/\(((~((op2 (e23) (e22)) = (e23)))\/(~((op2 (e23) (e23)) = (e22))))/\((~((op2 (e23) (e23)) = (e23)))\/(~((op2 (e23) (e23)) = (e23)))))))))\/((((op2 (e22) (e20)) = (e22))/\(((op2 (e20) (e22)) = (e22))/\(((~((op2 (e20) (e20)) = (e20)))\/(~((op2 (e20) (e20)) = (e20))))/\(((~((op2 (e20) (e21)) = (e20)))\/(~((op2 (e20) (e20)) = (e21))))/\(((~((op2 (e20) (e22)) = (e20)))\/(~((op2 (e20) (e20)) = (e22))))/\((~((op2 (e20) (e23)) = (e20)))\/(~((op2 (e20) (e20)) = (e23)))))))))\/((((op2 (e22) (e21)) = (e22))/\(((op2 (e21) (e22)) = (e22))/\(((~((op2 (e21) (e20)) = (e21)))\/(~((op2 (e21) (e21)) = (e20))))/\(((~((op2 (e21) (e21)) = (e21)))\/(~((op2 (e21) (e21)) = (e21))))/\(((~((op2 (e21) (e22)) = (e21)))\/(~((op2 (e21) (e21)) = (e22))))/\((~((op2 (e21) (e23)) = (e21)))\/(~((op2 (e21) (e21)) = (e23)))))))))\/((((op2 (e22) (e22)) = (e22))/\(((op2 (e22) (e22)) = (e22))/\(((~((op2 (e22) (e20)) = (e22)))\/(~((op2 (e22) (e22)) = (e20))))/\(((~((op2 (e22) (e21)) = (e22)))\/(~((op2 (e22) (e22)) = (e21))))/\(((~((op2 (e22) (e22)) = (e22)))\/(~((op2 (e22) (e22)) = (e22))))/\((~((op2 (e22) (e23)) = (e22)))\/(~((op2 (e22) (e22)) = (e23)))))))))\/((((op2 (e22) (e23)) = (e22))/\(((op2 (e23) (e22)) = (e22))/\(((~((op2 (e23) (e20)) = (e23)))\/(~((op2 (e23) (e23)) = (e20))))/\(((~((op2 (e23) (e21)) = (e23)))\/(~((op2 (e23) (e23)) = (e21))))/\(((~((op2 (e23) (e22)) = (e23)))\/(~((op2 (e23) (e23)) = (e22))))/\((~((op2 (e23) (e23)) = (e23)))\/(~((op2 (e23) (e23)) = (e23)))))))))\/((((op2 (e23) (e20)) = (e23))/\(((op2 (e20) (e23)) = (e23))/\(((~((op2 (e20) (e20)) = (e20)))\/(~((op2 (e20) (e20)) = (e20))))/\(((~((op2 (e20) (e21)) = (e20)))\/(~((op2 (e20) (e20)) = (e21))))/\(((~((op2 (e20) (e22)) = (e20)))\/(~((op2 (e20) (e20)) = (e22))))/\((~((op2 (e20) (e23)) = (e20)))\/(~((op2 (e20) (e20)) = (e23)))))))))\/((((op2 (e23) (e21)) = (e23))/\(((op2 (e21) (e23)) = (e23))/\(((~((op2 (e21) (e20)) = (e21)))\/(~((op2 (e21) (e21)) = (e20))))/\(((~((op2 (e21) (e21)) = (e21)))\/(~((op2 (e21) (e21)) = (e21))))/\(((~((op2 (e21) (e22)) = (e21)))\/(~((op2 (e21) (e21)) = (e22))))/\((~((op2 (e21) (e23)) = (e21)))\/(~((op2 (e21) (e21)) = (e23)))))))))\/((((op2 (e23) (e22)) = (e23))/\(((op2 (e22) (e23)) = (e23))/\(((~((op2 (e22) (e20)) = (e22)))\/(~((op2 (e22) (e22)) = (e20))))/\(((~((op2 (e22) (e21)) = (e22)))\/(~((op2 (e22) (e22)) = (e21))))/\(((~((op2 (e22) (e22)) = (e22)))\/(~((op2 (e22) (e22)) = (e22))))/\((~((op2 (e22) (e23)) = (e22)))\/(~((op2 (e22) (e22)) = (e23)))))))))\/(((op2 (e23) (e23)) = (e23))/\(((op2 (e23) (e23)) = (e23))/\(((~((op2 (e23) (e20)) = (e23)))\/(~((op2 (e23) (e23)) = (e20))))/\(((~((op2 (e23) (e21)) = (e23)))\/(~((op2 (e23) (e23)) = (e21))))/\(((~((op2 (e23) (e22)) = (e23)))\/(~((op2 (e23) (e23)) = (e22))))/\((~((op2 (e23) (e23)) = (e23)))\/(~((op2 (e23) (e23)) = (e23)))))))))))))))))))))))) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e23)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> (((op2 (e23) (e23)) = (e20))\/(((op2 (e23) (e23)) = (e21))\/(((op2 (e23) (e23)) = (e22))\/((op2 (e23) (e23)) = (e23))))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e12))\/((op1 (e11) (e10)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> ((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) -> ((e12) = (op1 (op1 (op1 (e11) (e11)) (op1 (e11) (e11))) (op1 (e11) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((e10) = (e12))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e11)) = (e12))\/((op1 (e10) (e11)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (((op1 (e13) (e13)) = (e10))\/(((op1 (e13) (e13)) = (e11))\/(((op1 (e13) (e13)) = (e12))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (~((e12) = (e13))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> ((((op1 (e10) (e10)) = (e10))/\(((op1 (e10) (e10)) = (e10))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11))))/\(((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12))))/\((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))))))))\/((((op1 (e10) (e11)) = (e10))/\(((op1 (e11) (e10)) = (e10))/\(((~((op1 (e11) (e10)) = (e11)))\/(~((op1 (e11) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e11) (e12)) = (e11)))\/(~((op1 (e11) (e11)) = (e12))))/\((~((op1 (e11) (e13)) = (e11)))\/(~((op1 (e11) (e11)) = (e13)))))))))\/((((op1 (e10) (e12)) = (e10))/\(((op1 (e12) (e10)) = (e10))/\(((~((op1 (e12) (e10)) = (e12)))\/(~((op1 (e12) (e12)) = (e10))))/\(((~((op1 (e12) (e11)) = (e12)))\/(~((op1 (e12) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13)))))))))\/((((op1 (e10) (e13)) = (e10))/\(((op1 (e13) (e10)) = (e10))/\(((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e13) (e13)) = (e10))))/\(((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11))))/\(((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e13) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13)))))))))\/((((op1 (e11) (e10)) = (e11))/\(((op1 (e10) (e11)) = (e11))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11))))/\(((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12))))/\((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))))))))\/((((op1 (e11) (e11)) = (e11))/\(((op1 (e11) (e11)) = (e11))/\(((~((op1 (e11) (e10)) = (e11)))\/(~((op1 (e11) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e11) (e12)) = (e11)))\/(~((op1 (e11) (e11)) = (e12))))/\((~((op1 (e11) (e13)) = (e11)))\/(~((op1 (e11) (e11)) = (e13)))))))))\/((((op1 (e11) (e12)) = (e11))/\(((op1 (e12) (e11)) = (e11))/\(((~((op1 (e12) (e10)) = (e12)))\/(~((op1 (e12) (e12)) = (e10))))/\(((~((op1 (e12) (e11)) = (e12)))\/(~((op1 (e12) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13)))))))))\/((((op1 (e11) (e13)) = (e11))/\(((op1 (e13) (e11)) = (e11))/\(((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e13) (e13)) = (e10))))/\(((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11))))/\(((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e13) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13)))))))))\/((((op1 (e12) (e10)) = (e12))/\(((op1 (e10) (e12)) = (e12))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11))))/\(((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12))))/\((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))))))))\/((((op1 (e12) (e11)) = (e12))/\(((op1 (e11) (e12)) = (e12))/\(((~((op1 (e11) (e10)) = (e11)))\/(~((op1 (e11) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e11) (e12)) = (e11)))\/(~((op1 (e11) (e11)) = (e12))))/\((~((op1 (e11) (e13)) = (e11)))\/(~((op1 (e11) (e11)) = (e13)))))))))\/((((op1 (e12) (e12)) = (e12))/\(((op1 (e12) (e12)) = (e12))/\(((~((op1 (e12) (e10)) = (e12)))\/(~((op1 (e12) (e12)) = (e10))))/\(((~((op1 (e12) (e11)) = (e12)))\/(~((op1 (e12) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13)))))))))\/((((op1 (e12) (e13)) = (e12))/\(((op1 (e13) (e12)) = (e12))/\(((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e13) (e13)) = (e10))))/\(((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11))))/\(((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e13) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13)))))))))\/((((op1 (e13) (e10)) = (e13))/\(((op1 (e10) (e13)) = (e13))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11))))/\(((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12))))/\((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))))))))\/((((op1 (e13) (e11)) = (e13))/\(((op1 (e11) (e13)) = (e13))/\(((~((op1 (e11) (e10)) = (e11)))\/(~((op1 (e11) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e11) (e12)) = (e11)))\/(~((op1 (e11) (e11)) = (e12))))/\((~((op1 (e11) (e13)) = (e11)))\/(~((op1 (e11) (e11)) = (e13)))))))))\/((((op1 (e13) (e12)) = (e13))/\(((op1 (e12) (e13)) = (e13))/\(((~((op1 (e12) (e10)) = (e12)))\/(~((op1 (e12) (e12)) = (e10))))/\(((~((op1 (e12) (e11)) = (e12)))\/(~((op1 (e12) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13)))))))))\/(((op1 (e13) (e13)) = (e13))/\(((op1 (e13) (e13)) = (e13))/\(((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e13) (e13)) = (e10))))/\(((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11))))/\(((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e13) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13)))))))))))))))))))))))) -> ((e10) = (op1 (e11) (e11))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e10)) = (e12))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e13) (e10)) = (e12))))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e20) (e21)) = (e23))\/(((op2 (e20) (e22)) = (e23))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e22)))) -> (((op2 (e21) (e20)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/((op2 (e21) (e23)) = (e23))))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op2 (e21) (e22)) = (op2 (e21) (e23)))) -> ((op2 (e21) (op2 (e21) (e23))) = (e23)) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> ((op2 (e21) (op2 (e21) (e22))) = (e22)) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (((op2 (e22) (e22)) = (e20))\/(((op2 (e22) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e22)) = (e23))))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> (~((e22) = (e23))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> (((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e21)) = (e22))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> ((h2 (e11)) = (e21)) -> ((h2 (e13)) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> (~((h2 (op1 (e11) (e13))) = (op2 (h2 (e11)) (h2 (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e23) (e20)))) -> (((op2 (e22) (e20)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e22) (e23)) = (e23))))) -> (~((op2 (e21) (e21)) = (e21))) -> (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> (~((e21) = (e22))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> (((op2 (e20) (e21)) = (e20))\/(((op2 (e20) (e21)) = (e21))\/(((op2 (e20) (e21)) = (e22))\/((op2 (e20) (e21)) = (e23))))) -> (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> (((op1 (e10) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e12) (e11)) = (e13))))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e12) (e13)) = (e10))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> ((((op1 (e10) (op1 (e10) (e10))) = (e10))/\(((op1 (e10) (op1 (e10) (e11))) = (e11))/\(((op1 (e10) (op1 (e10) (e12))) = (e12))/\(((op1 (e10) (op1 (e10) (e13))) = (e13))/\(((~((op1 (e10) (e10)) = (e10)))\/((op1 (e10) (e10)) = (e10)))/\(((~((op1 (e11) (e11)) = (e10)))\/((op1 (e11) (e10)) = (e11)))/\(((~((op1 (e12) (e12)) = (e10)))\/((op1 (e12) (e10)) = (e12)))/\((~((op1 (e13) (e13)) = (e10)))\/((op1 (e13) (e10)) = (e13))))))))))\/((((op1 (e11) (op1 (e11) (e10))) = (e10))/\(((op1 (e11) (op1 (e11) (e11))) = (e11))/\(((op1 (e11) (op1 (e11) (e12))) = (e12))/\(((op1 (e11) (op1 (e11) (e13))) = (e13))/\(((~((op1 (e10) (e10)) = (e11)))\/((op1 (e10) (e11)) = (e10)))/\(((~((op1 (e11) (e11)) = (e11)))\/((op1 (e11) (e11)) = (e11)))/\(((~((op1 (e12) (e12)) = (e11)))\/((op1 (e12) (e11)) = (e12)))/\((~((op1 (e13) (e13)) = (e11)))\/((op1 (e13) (e11)) = (e13))))))))))\/((((op1 (e12) (op1 (e12) (e10))) = (e10))/\(((op1 (e12) (op1 (e12) (e11))) = (e11))/\(((op1 (e12) (op1 (e12) (e12))) = (e12))/\(((op1 (e12) (op1 (e12) (e13))) = (e13))/\(((~((op1 (e10) (e10)) = (e12)))\/((op1 (e10) (e12)) = (e10)))/\(((~((op1 (e11) (e11)) = (e12)))\/((op1 (e11) (e12)) = (e11)))/\(((~((op1 (e12) (e12)) = (e12)))\/((op1 (e12) (e12)) = (e12)))/\((~((op1 (e13) (e13)) = (e12)))\/((op1 (e13) (e12)) = (e13))))))))))\/(((op1 (e13) (op1 (e13) (e10))) = (e10))/\(((op1 (e13) (op1 (e13) (e11))) = (e11))/\(((op1 (e13) (op1 (e13) (e12))) = (e12))/\(((op1 (e13) (op1 (e13) (e13))) = (e13))/\(((~((op1 (e10) (e10)) = (e13)))\/((op1 (e10) (e13)) = (e10)))/\(((~((op1 (e11) (e11)) = (e13)))\/((op1 (e11) (e13)) = (e11)))/\(((~((op1 (e12) (e12)) = (e13)))\/((op1 (e12) (e13)) = (e12)))/\((~((op1 (e13) (e13)) = (e13)))\/((op1 (e13) (e13)) = (e13))))))))))))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (((op2 (e21) (e20)) = (e20))\/(((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e20)) = (e22))\/((op2 (e21) (e20)) = (e23))))) -> ((~((op2 (e23) (e23)) = (e21)))\/((op2 (e23) (e21)) = (e23))) -> ((e22) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> ((e20) = (op2 (e21) (e21))) -> ((e23) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> False).
% 54.96/55.10 do 0 intro. intros zenon_H3fd zenon_Hd4 zenon_H58 zenon_H40c zenon_H18f zenon_H293 zenon_H473 zenon_H375 zenon_H2a6 zenon_H292 zenon_H23f zenon_H27d zenon_H1d1 zenon_H29e zenon_H437 zenon_H43a zenon_Had zenon_Hb9 zenon_Ha8 zenon_H3cb zenon_H128 zenon_H394 zenon_H38f zenon_H67 zenon_Hca zenon_Hc5 zenon_H489 zenon_H3c2 zenon_H382 zenon_H15f zenon_H15a zenon_H15 zenon_H155 zenon_H154 zenon_H14b zenon_H186 zenon_H180 zenon_H179 zenon_H172 zenon_H16c zenon_H18a zenon_H18e zenon_H192 zenon_H246 zenon_H19d zenon_H1a0 zenon_H25 zenon_H1e zenon_H17 zenon_H1a9 zenon_H209 zenon_H206 zenon_H204 zenon_H1fd zenon_H1fa zenon_H1f7 zenon_H1f4 zenon_H1ed zenon_H1e8 zenon_H1da zenon_H1d8 zenon_H1cc zenon_H1de zenon_H1b1 zenon_H1be zenon_H20c zenon_H21a zenon_H236 zenon_H23b zenon_H245 zenon_H13 zenon_H2c0 zenon_H4c3 zenon_H2c9 zenon_H328 zenon_H485 zenon_H4c2 zenon_Ha5 zenon_H98 zenon_H399 zenon_H47e zenon_H6e zenon_H47a zenon_H395 zenon_H47c zenon_H481 zenon_H3a8 zenon_H100 zenon_H37d zenon_H11f zenon_Hec zenon_H3b7 zenon_H39d zenon_H282 zenon_H3b1 zenon_Hfc zenon_H9f zenon_H32e zenon_H2c2 zenon_H270 zenon_H461 zenon_H4b1 zenon_H358 zenon_H2ad zenon_H32b zenon_H316 zenon_H360 zenon_H2f8 zenon_H301 zenon_H2b9 zenon_H30e zenon_H2e7 zenon_H2a3 zenon_H2a5 zenon_H2b1 zenon_H313 zenon_H474 zenon_H116 zenon_H3af zenon_H3b4 zenon_H55 zenon_H3f1 zenon_H28d zenon_Hf1 zenon_H27e zenon_Hb0 zenon_H8d zenon_H286 zenon_H93 zenon_H289 zenon_H28c zenon_H2fd zenon_H2fb zenon_H2f6 zenon_H325 zenon_H322 zenon_H321 zenon_H30b zenon_H2ea zenon_H2e2 zenon_H2e6 zenon_H2d9 zenon_H2d1 zenon_H35d zenon_H345 zenon_H355 zenon_H36e zenon_H32 zenon_H3e zenon_H45 zenon_H4a zenon_H3c1 zenon_H3f zenon_H33 zenon_H3b zenon_H60.
% 54.96/55.10 apply (zenon_or_s _ _ zenon_H3fd); [ zenon_intro zenon_H285 | zenon_intro zenon_H3ff ].
% 54.96/55.10 apply (zenon_L684_); trivial.
% 54.96/55.10 apply (zenon_or_s _ _ zenon_H3ff); [ zenon_intro zenon_H401 | zenon_intro zenon_H400 ].
% 54.96/55.10 apply (zenon_L678_); trivial.
% 54.96/55.10 apply (zenon_or_s _ _ zenon_H400); [ zenon_intro zenon_Hd3 | zenon_intro zenon_H5f ].
% 54.96/55.10 apply (zenon_L710_); trivial.
% 54.96/55.10 apply (zenon_L15_); trivial.
% 54.96/55.10 (* end of lemma zenon_L711_ *)
% 54.96/55.10 assert (zenon_L712_ : (((op2 (e21) (e20)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/((op2 (e21) (e23)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> ((e22) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> (((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e21)) = (e22))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> ((e20) = (op2 (e21) (e21))) -> ((e23) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((op2 (e21) (op2 (e21) (e22))) = (e22)) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> ((op2 (e20) (e21)) = (e21)) -> (~((op2 (e20) (e23)) = (e20))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e21) (e22)) = (op2 (e21) (e23)))) -> ((op2 (e21) (op2 (e21) (e23))) = (e23)) -> ((op2 (e21) (e23)) = (e22)) -> False).
% 54.96/55.10 do 0 intro. intros zenon_H399 zenon_H45 zenon_H3af zenon_H3f zenon_H60 zenon_H282 zenon_H39d zenon_H3b1 zenon_H116 zenon_H3b4 zenon_H9f zenon_H33 zenon_H3b zenon_H481 zenon_H3a8 zenon_H3c2 zenon_Hb9 zenon_Had zenon_H489 zenon_H47a zenon_H395 zenon_H478.
% 54.96/55.10 apply (zenon_or_s _ _ zenon_H399); [ zenon_intro zenon_H44 | zenon_intro zenon_H39a ].
% 54.96/55.10 apply (zenon_L10_); trivial.
% 54.96/55.10 apply (zenon_or_s _ _ zenon_H39a); [ zenon_intro zenon_H388 | zenon_intro zenon_H39b ].
% 54.96/55.10 apply (zenon_L573_); trivial.
% 54.96/55.10 apply (zenon_or_s _ _ zenon_H39b); [ zenon_intro zenon_H38e | zenon_intro zenon_He9 ].
% 54.96/55.10 apply (zenon_L590_); trivial.
% 54.96/55.10 apply (zenon_L512_); trivial.
% 54.96/55.10 (* end of lemma zenon_L712_ *)
% 54.96/55.10 assert (zenon_L713_ : ((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13)))) -> (~((op2 (e20) (e20)) = (e22))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> ((e22) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> ((e23) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((e20) = (op2 (e21) (e21))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> (((op2 (e21) (e20)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/((op2 (e21) (e23)) = (e23))))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e22)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> ((op2 (e21) (op2 (e21) (e22))) = (e22)) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> ((op2 (e20) (e21)) = (e21)) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e23)) = (e20))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e21)) = (e22))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> ((op1 (e11) (op1 (e11) (e10))) = (e10)) -> ((op1 (e12) (e10)) = (e10)) -> ((op1 (e10) (e12)) = (e10)) -> (~((op1 (e12) (e12)) = (e11))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> ((op1 (e11) (op1 (e11) (e12))) = (e12)) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> ((h2 (e11)) = (e21)) -> ((h2 (e13)) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> (~((h2 (op1 (e11) (e13))) = (op2 (h2 (e11)) (h2 (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((e12) = (e13))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> ((op1 (e11) (op1 (e11) (e13))) = (e13)) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e12) (e12)) = (e12))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e11)) = (e12))\/((op1 (e10) (e11)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> ((e10) = (op1 (e11) (e11))) -> ((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) -> ((e12) = (op1 (op1 (op1 (e11) (e11)) (op1 (e11) (e11))) (op1 (e11) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e11) (e11)) = (e11))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e12))\/((op1 (e11) (e10)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> ((op1 (e11) (op1 (e11) (e11))) = (e11)) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e20) (e22)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e23) (e22)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (((op2 (e20) (e21)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e23) (e21)) = (e22))))) -> ((((op2 (e20) (e20)) = (e20))/\(((op2 (e20) (e20)) = (e20))/\(((~((op2 (e20) (e20)) = (e20)))\/(~((op2 (e20) (e20)) = (e20))))/\(((~((op2 (e20) (e21)) = (e20)))\/(~((op2 (e20) (e20)) = (e21))))/\(((~((op2 (e20) (e22)) = (e20)))\/(~((op2 (e20) (e20)) = (e22))))/\((~((op2 (e20) (e23)) = (e20)))\/(~((op2 (e20) (e20)) = (e23)))))))))\/((((op2 (e20) (e21)) = (e20))/\(((op2 (e21) (e20)) = (e20))/\(((~((op2 (e21) (e20)) = (e21)))\/(~((op2 (e21) (e21)) = (e20))))/\(((~((op2 (e21) (e21)) = (e21)))\/(~((op2 (e21) (e21)) = (e21))))/\(((~((op2 (e21) (e22)) = (e21)))\/(~((op2 (e21) (e21)) = (e22))))/\((~((op2 (e21) (e23)) = (e21)))\/(~((op2 (e21) (e21)) = (e23)))))))))\/((((op2 (e20) (e22)) = (e20))/\(((op2 (e22) (e20)) = (e20))/\(((~((op2 (e22) (e20)) = (e22)))\/(~((op2 (e22) (e22)) = (e20))))/\(((~((op2 (e22) (e21)) = (e22)))\/(~((op2 (e22) (e22)) = (e21))))/\(((~((op2 (e22) (e22)) = (e22)))\/(~((op2 (e22) (e22)) = (e22))))/\((~((op2 (e22) (e23)) = (e22)))\/(~((op2 (e22) (e22)) = (e23)))))))))\/((((op2 (e20) (e23)) = (e20))/\(((op2 (e23) (e20)) = (e20))/\(((~((op2 (e23) (e20)) = (e23)))\/(~((op2 (e23) (e23)) = (e20))))/\(((~((op2 (e23) (e21)) = (e23)))\/(~((op2 (e23) (e23)) = (e21))))/\(((~((op2 (e23) (e22)) = (e23)))\/(~((op2 (e23) (e23)) = (e22))))/\((~((op2 (e23) (e23)) = (e23)))\/(~((op2 (e23) (e23)) = (e23)))))))))\/((((op2 (e21) (e20)) = (e21))/\(((op2 (e20) (e21)) = (e21))/\(((~((op2 (e20) (e20)) = (e20)))\/(~((op2 (e20) (e20)) = (e20))))/\(((~((op2 (e20) (e21)) = (e20)))\/(~((op2 (e20) (e20)) = (e21))))/\(((~((op2 (e20) (e22)) = (e20)))\/(~((op2 (e20) (e20)) = (e22))))/\((~((op2 (e20) (e23)) = (e20)))\/(~((op2 (e20) (e20)) = (e23)))))))))\/((((op2 (e21) (e21)) = (e21))/\(((op2 (e21) (e21)) = (e21))/\(((~((op2 (e21) (e20)) = (e21)))\/(~((op2 (e21) (e21)) = (e20))))/\(((~((op2 (e21) (e21)) = (e21)))\/(~((op2 (e21) (e21)) = (e21))))/\(((~((op2 (e21) (e22)) = (e21)))\/(~((op2 (e21) (e21)) = (e22))))/\((~((op2 (e21) (e23)) = (e21)))\/(~((op2 (e21) (e21)) = (e23)))))))))\/((((op2 (e21) (e22)) = (e21))/\(((op2 (e22) (e21)) = (e21))/\(((~((op2 (e22) (e20)) = (e22)))\/(~((op2 (e22) (e22)) = (e20))))/\(((~((op2 (e22) (e21)) = (e22)))\/(~((op2 (e22) (e22)) = (e21))))/\(((~((op2 (e22) (e22)) = (e22)))\/(~((op2 (e22) (e22)) = (e22))))/\((~((op2 (e22) (e23)) = (e22)))\/(~((op2 (e22) (e22)) = (e23)))))))))\/((((op2 (e21) (e23)) = (e21))/\(((op2 (e23) (e21)) = (e21))/\(((~((op2 (e23) (e20)) = (e23)))\/(~((op2 (e23) (e23)) = (e20))))/\(((~((op2 (e23) (e21)) = (e23)))\/(~((op2 (e23) (e23)) = (e21))))/\(((~((op2 (e23) (e22)) = (e23)))\/(~((op2 (e23) (e23)) = (e22))))/\((~((op2 (e23) (e23)) = (e23)))\/(~((op2 (e23) (e23)) = (e23)))))))))\/((((op2 (e22) (e20)) = (e22))/\(((op2 (e20) (e22)) = (e22))/\(((~((op2 (e20) (e20)) = (e20)))\/(~((op2 (e20) (e20)) = (e20))))/\(((~((op2 (e20) (e21)) = (e20)))\/(~((op2 (e20) (e20)) = (e21))))/\(((~((op2 (e20) (e22)) = (e20)))\/(~((op2 (e20) (e20)) = (e22))))/\((~((op2 (e20) (e23)) = (e20)))\/(~((op2 (e20) (e20)) = (e23)))))))))\/((((op2 (e22) (e21)) = (e22))/\(((op2 (e21) (e22)) = (e22))/\(((~((op2 (e21) (e20)) = (e21)))\/(~((op2 (e21) (e21)) = (e20))))/\(((~((op2 (e21) (e21)) = (e21)))\/(~((op2 (e21) (e21)) = (e21))))/\(((~((op2 (e21) (e22)) = (e21)))\/(~((op2 (e21) (e21)) = (e22))))/\((~((op2 (e21) (e23)) = (e21)))\/(~((op2 (e21) (e21)) = (e23)))))))))\/((((op2 (e22) (e22)) = (e22))/\(((op2 (e22) (e22)) = (e22))/\(((~((op2 (e22) (e20)) = (e22)))\/(~((op2 (e22) (e22)) = (e20))))/\(((~((op2 (e22) (e21)) = (e22)))\/(~((op2 (e22) (e22)) = (e21))))/\(((~((op2 (e22) (e22)) = (e22)))\/(~((op2 (e22) (e22)) = (e22))))/\((~((op2 (e22) (e23)) = (e22)))\/(~((op2 (e22) (e22)) = (e23)))))))))\/((((op2 (e22) (e23)) = (e22))/\(((op2 (e23) (e22)) = (e22))/\(((~((op2 (e23) (e20)) = (e23)))\/(~((op2 (e23) (e23)) = (e20))))/\(((~((op2 (e23) (e21)) = (e23)))\/(~((op2 (e23) (e23)) = (e21))))/\(((~((op2 (e23) (e22)) = (e23)))\/(~((op2 (e23) (e23)) = (e22))))/\((~((op2 (e23) (e23)) = (e23)))\/(~((op2 (e23) (e23)) = (e23)))))))))\/((((op2 (e23) (e20)) = (e23))/\(((op2 (e20) (e23)) = (e23))/\(((~((op2 (e20) (e20)) = (e20)))\/(~((op2 (e20) (e20)) = (e20))))/\(((~((op2 (e20) (e21)) = (e20)))\/(~((op2 (e20) (e20)) = (e21))))/\(((~((op2 (e20) (e22)) = (e20)))\/(~((op2 (e20) (e20)) = (e22))))/\((~((op2 (e20) (e23)) = (e20)))\/(~((op2 (e20) (e20)) = (e23)))))))))\/((((op2 (e23) (e21)) = (e23))/\(((op2 (e21) (e23)) = (e23))/\(((~((op2 (e21) (e20)) = (e21)))\/(~((op2 (e21) (e21)) = (e20))))/\(((~((op2 (e21) (e21)) = (e21)))\/(~((op2 (e21) (e21)) = (e21))))/\(((~((op2 (e21) (e22)) = (e21)))\/(~((op2 (e21) (e21)) = (e22))))/\((~((op2 (e21) (e23)) = (e21)))\/(~((op2 (e21) (e21)) = (e23)))))))))\/((((op2 (e23) (e22)) = (e23))/\(((op2 (e22) (e23)) = (e23))/\(((~((op2 (e22) (e20)) = (e22)))\/(~((op2 (e22) (e22)) = (e20))))/\(((~((op2 (e22) (e21)) = (e22)))\/(~((op2 (e22) (e22)) = (e21))))/\(((~((op2 (e22) (e22)) = (e22)))\/(~((op2 (e22) (e22)) = (e22))))/\((~((op2 (e22) (e23)) = (e22)))\/(~((op2 (e22) (e22)) = (e23)))))))))\/(((op2 (e23) (e23)) = (e23))/\(((op2 (e23) (e23)) = (e23))/\(((~((op2 (e23) (e20)) = (e23)))\/(~((op2 (e23) (e23)) = (e20))))/\(((~((op2 (e23) (e21)) = (e23)))\/(~((op2 (e23) (e23)) = (e21))))/\(((~((op2 (e23) (e22)) = (e23)))\/(~((op2 (e23) (e23)) = (e22))))/\((~((op2 (e23) (e23)) = (e23)))\/(~((op2 (e23) (e23)) = (e23)))))))))))))))))))))))) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e23)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> (((op2 (e23) (e23)) = (e20))\/(((op2 (e23) (e23)) = (e21))\/(((op2 (e23) (e23)) = (e22))\/((op2 (e23) (e23)) = (e23))))) -> (~((e10) = (e12))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (((op1 (e13) (e13)) = (e10))\/(((op1 (e13) (e13)) = (e11))\/(((op1 (e13) (e13)) = (e12))\/((op1 (e13) (e13)) = (e13))))) -> ((((op1 (e10) (e10)) = (e10))/\(((op1 (e10) (e10)) = (e10))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11))))/\(((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12))))/\((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))))))))\/((((op1 (e10) (e11)) = (e10))/\(((op1 (e11) (e10)) = (e10))/\(((~((op1 (e11) (e10)) = (e11)))\/(~((op1 (e11) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e11) (e12)) = (e11)))\/(~((op1 (e11) (e11)) = (e12))))/\((~((op1 (e11) (e13)) = (e11)))\/(~((op1 (e11) (e11)) = (e13)))))))))\/((((op1 (e10) (e12)) = (e10))/\(((op1 (e12) (e10)) = (e10))/\(((~((op1 (e12) (e10)) = (e12)))\/(~((op1 (e12) (e12)) = (e10))))/\(((~((op1 (e12) (e11)) = (e12)))\/(~((op1 (e12) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13)))))))))\/((((op1 (e10) (e13)) = (e10))/\(((op1 (e13) (e10)) = (e10))/\(((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e13) (e13)) = (e10))))/\(((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11))))/\(((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e13) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13)))))))))\/((((op1 (e11) (e10)) = (e11))/\(((op1 (e10) (e11)) = (e11))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11))))/\(((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12))))/\((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))))))))\/((((op1 (e11) (e11)) = (e11))/\(((op1 (e11) (e11)) = (e11))/\(((~((op1 (e11) (e10)) = (e11)))\/(~((op1 (e11) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e11) (e12)) = (e11)))\/(~((op1 (e11) (e11)) = (e12))))/\((~((op1 (e11) (e13)) = (e11)))\/(~((op1 (e11) (e11)) = (e13)))))))))\/((((op1 (e11) (e12)) = (e11))/\(((op1 (e12) (e11)) = (e11))/\(((~((op1 (e12) (e10)) = (e12)))\/(~((op1 (e12) (e12)) = (e10))))/\(((~((op1 (e12) (e11)) = (e12)))\/(~((op1 (e12) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13)))))))))\/((((op1 (e11) (e13)) = (e11))/\(((op1 (e13) (e11)) = (e11))/\(((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e13) (e13)) = (e10))))/\(((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11))))/\(((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e13) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13)))))))))\/((((op1 (e12) (e10)) = (e12))/\(((op1 (e10) (e12)) = (e12))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11))))/\(((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12))))/\((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))))))))\/((((op1 (e12) (e11)) = (e12))/\(((op1 (e11) (e12)) = (e12))/\(((~((op1 (e11) (e10)) = (e11)))\/(~((op1 (e11) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e11) (e12)) = (e11)))\/(~((op1 (e11) (e11)) = (e12))))/\((~((op1 (e11) (e13)) = (e11)))\/(~((op1 (e11) (e11)) = (e13)))))))))\/((((op1 (e12) (e12)) = (e12))/\(((op1 (e12) (e12)) = (e12))/\(((~((op1 (e12) (e10)) = (e12)))\/(~((op1 (e12) (e12)) = (e10))))/\(((~((op1 (e12) (e11)) = (e12)))\/(~((op1 (e12) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13)))))))))\/((((op1 (e12) (e13)) = (e12))/\(((op1 (e13) (e12)) = (e12))/\(((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e13) (e13)) = (e10))))/\(((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11))))/\(((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e13) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13)))))))))\/((((op1 (e13) (e10)) = (e13))/\(((op1 (e10) (e13)) = (e13))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11))))/\(((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12))))/\((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))))))))\/((((op1 (e13) (e11)) = (e13))/\(((op1 (e11) (e13)) = (e13))/\(((~((op1 (e11) (e10)) = (e11)))\/(~((op1 (e11) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e11) (e12)) = (e11)))\/(~((op1 (e11) (e11)) = (e12))))/\((~((op1 (e11) (e13)) = (e11)))\/(~((op1 (e11) (e11)) = (e13)))))))))\/((((op1 (e13) (e12)) = (e13))/\(((op1 (e12) (e13)) = (e13))/\(((~((op1 (e12) (e10)) = (e12)))\/(~((op1 (e12) (e12)) = (e10))))/\(((~((op1 (e12) (e11)) = (e12)))\/(~((op1 (e12) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13)))))))))\/(((op1 (e13) (e13)) = (e13))/\(((op1 (e13) (e13)) = (e13))/\(((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e13) (e13)) = (e10))))/\(((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11))))/\(((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e13) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13)))))))))))))))))))))))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e10)) = (e12))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e13) (e10)) = (e12))))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e20) (e21)) = (e23))\/(((op2 (e20) (e22)) = (e23))\/((op2 (e20) (e23)) = (e23))))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op2 (e21) (e22)) = (op2 (e21) (e23)))) -> ((op2 (e21) (op2 (e21) (e23))) = (e23)) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (((op2 (e22) (e22)) = (e20))\/(((op2 (e22) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e22)) = (e23))))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> (~((e22) = (e23))) -> (((op2 (e22) (e20)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e22) (e23)) = (e23))))) -> (~((op2 (e21) (e21)) = (e21))) -> (~((e21) = (e22))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> (((op2 (e20) (e21)) = (e20))\/(((op2 (e20) (e21)) = (e21))\/(((op2 (e20) (e21)) = (e22))\/((op2 (e20) (e21)) = (e23))))) -> (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> (((op1 (e10) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e12) (e11)) = (e13))))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e12) (e13)) = (e10))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> ((((op1 (e10) (op1 (e10) (e10))) = (e10))/\(((op1 (e10) (op1 (e10) (e11))) = (e11))/\(((op1 (e10) (op1 (e10) (e12))) = (e12))/\(((op1 (e10) (op1 (e10) (e13))) = (e13))/\(((~((op1 (e10) (e10)) = (e10)))\/((op1 (e10) (e10)) = (e10)))/\(((~((op1 (e11) (e11)) = (e10)))\/((op1 (e11) (e10)) = (e11)))/\(((~((op1 (e12) (e12)) = (e10)))\/((op1 (e12) (e10)) = (e12)))/\((~((op1 (e13) (e13)) = (e10)))\/((op1 (e13) (e10)) = (e13))))))))))\/((((op1 (e11) (op1 (e11) (e10))) = (e10))/\(((op1 (e11) (op1 (e11) (e11))) = (e11))/\(((op1 (e11) (op1 (e11) (e12))) = (e12))/\(((op1 (e11) (op1 (e11) (e13))) = (e13))/\(((~((op1 (e10) (e10)) = (e11)))\/((op1 (e10) (e11)) = (e10)))/\(((~((op1 (e11) (e11)) = (e11)))\/((op1 (e11) (e11)) = (e11)))/\(((~((op1 (e12) (e12)) = (e11)))\/((op1 (e12) (e11)) = (e12)))/\((~((op1 (e13) (e13)) = (e11)))\/((op1 (e13) (e11)) = (e13))))))))))\/((((op1 (e12) (op1 (e12) (e10))) = (e10))/\(((op1 (e12) (op1 (e12) (e11))) = (e11))/\(((op1 (e12) (op1 (e12) (e12))) = (e12))/\(((op1 (e12) (op1 (e12) (e13))) = (e13))/\(((~((op1 (e10) (e10)) = (e12)))\/((op1 (e10) (e12)) = (e10)))/\(((~((op1 (e11) (e11)) = (e12)))\/((op1 (e11) (e12)) = (e11)))/\(((~((op1 (e12) (e12)) = (e12)))\/((op1 (e12) (e12)) = (e12)))/\((~((op1 (e13) (e13)) = (e12)))\/((op1 (e13) (e12)) = (e13))))))))))\/(((op1 (e13) (op1 (e13) (e10))) = (e10))/\(((op1 (e13) (op1 (e13) (e11))) = (e11))/\(((op1 (e13) (op1 (e13) (e12))) = (e12))/\(((op1 (e13) (op1 (e13) (e13))) = (e13))/\(((~((op1 (e10) (e10)) = (e13)))\/((op1 (e10) (e13)) = (e10)))/\(((~((op1 (e11) (e11)) = (e13)))\/((op1 (e11) (e13)) = (e11)))/\(((~((op1 (e12) (e12)) = (e13)))\/((op1 (e12) (e13)) = (e12)))/\((~((op1 (e13) (e13)) = (e13)))\/((op1 (e13) (e13)) = (e13))))))))))))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> (((op2 (e21) (e20)) = (e20))\/(((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e20)) = (e22))\/((op2 (e21) (e20)) = (e23))))) -> ((~((op2 (e23) (e23)) = (e21)))\/((op2 (e23) (e21)) = (e23))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> (((op2 (e20) (e20)) = (e22))\/(((op2 (e21) (e20)) = (e22))\/(((op2 (e22) (e20)) = (e22))\/((op2 (e23) (e20)) = (e22))))) -> False).
% 54.96/55.10 do 0 intro. intros zenon_H22c zenon_Hbd zenon_H3e zenon_H3f zenon_H3b zenon_H33 zenon_Hb0 zenon_H399 zenon_H437 zenon_H98 zenon_H489 zenon_H9f zenon_H481 zenon_H3a8 zenon_Hb9 zenon_H3c2 zenon_Had zenon_H3b7 zenon_H39d zenon_H282 zenon_H60 zenon_H3b1 zenon_Hfc zenon_H1a0 zenon_H1e zenon_H1fa zenon_H1de zenon_H292 zenon_H293 zenon_H18f zenon_H23f zenon_H1da zenon_H32e zenon_H1ed zenon_H375 zenon_H209 zenon_H21a zenon_H2c2 zenon_H270 zenon_H461 zenon_H4b1 zenon_H358 zenon_H2ad zenon_H236 zenon_H32b zenon_H19d zenon_H316 zenon_H360 zenon_H1cc zenon_H18a zenon_H1fd zenon_H172 zenon_H29e zenon_H2f8 zenon_H301 zenon_H23b zenon_H1d1 zenon_H204 zenon_H179 zenon_H180 zenon_H186 zenon_H17 zenon_H206 zenon_H2b9 zenon_H30e zenon_H25 zenon_H2e7 zenon_H15a zenon_H13 zenon_H15 zenon_H155 zenon_H154 zenon_H473 zenon_H15f zenon_H1a9 zenon_H14b zenon_H1be zenon_H1d8 zenon_H2a3 zenon_H2a5 zenon_H2a6 zenon_H2b1 zenon_H1b1 zenon_H313 zenon_H474 zenon_H116 zenon_H3af zenon_H3b4 zenon_H55 zenon_H3cb zenon_H43a zenon_H45 zenon_H3fd zenon_H128 zenon_H394 zenon_H38f zenon_H67 zenon_Hca zenon_Hc5 zenon_H382 zenon_H16c zenon_H18e zenon_H192 zenon_H246 zenon_H1f7 zenon_H1f4 zenon_H1e8 zenon_H20c zenon_H245 zenon_H2c0 zenon_H4c3 zenon_H2c9 zenon_H328 zenon_H485 zenon_H4c2 zenon_Ha5 zenon_H47e zenon_H6e zenon_H47a zenon_H395 zenon_H47c zenon_H100 zenon_H37d zenon_H11f zenon_Hec zenon_H3f1 zenon_H28d zenon_H27e zenon_H8d zenon_H93 zenon_H289 zenon_H28c zenon_H2fd zenon_H2fb zenon_H2f6 zenon_H325 zenon_H322 zenon_H321 zenon_H30b zenon_H2ea zenon_H2e2 zenon_H2e6 zenon_H2d9 zenon_H2d1 zenon_H35d zenon_H345 zenon_H355 zenon_H36e zenon_H32 zenon_H4a zenon_H3c1 zenon_H286 zenon_H40c zenon_Hf1 zenon_H4ae zenon_Hb7.
% 54.96/55.10 apply (zenon_or_s _ _ zenon_H22c); [ zenon_intro zenon_H27d | zenon_intro zenon_H29d ].
% 54.96/55.10 apply (zenon_or_s _ _ zenon_Hb7); [ zenon_intro zenon_Hbf | zenon_intro zenon_Hbe ].
% 54.96/55.10 exact (zenon_Hbd zenon_Hbf).
% 54.96/55.10 apply (zenon_or_s _ _ zenon_Hbe); [ zenon_intro zenon_H40 | zenon_intro zenon_Hc0 ].
% 54.96/55.10 apply (zenon_L8_); trivial.
% 54.96/55.10 apply (zenon_or_s _ _ zenon_Hc0); [ zenon_intro zenon_Hb1 | zenon_intro zenon_H58 ].
% 54.96/55.10 apply (zenon_L30_); trivial.
% 54.96/55.10 apply (zenon_or_s _ _ zenon_Ha5); [ zenon_intro zenon_Ha8 | zenon_intro zenon_Ha7 ].
% 54.96/55.10 apply (zenon_or_s _ _ zenon_H4ae); [ zenon_intro zenon_H40 | zenon_intro zenon_H4af ].
% 54.96/55.10 apply (zenon_L8_); trivial.
% 54.96/55.10 apply (zenon_or_s _ _ zenon_H4af); [ zenon_intro zenon_H401 | zenon_intro zenon_H4b0 ].
% 54.96/55.10 apply (zenon_L678_); trivial.
% 54.96/55.10 apply (zenon_or_s _ _ zenon_H4b0); [ zenon_intro zenon_Hd4 | zenon_intro zenon_H478 ].
% 54.96/55.10 apply (zenon_L711_); trivial.
% 54.96/55.10 apply (zenon_L712_); trivial.
% 54.96/55.10 apply (zenon_or_s _ _ zenon_Ha7); [ zenon_intro zenon_H92 | zenon_intro zenon_Ha9 ].
% 54.96/55.10 apply (zenon_L25_); trivial.
% 54.96/55.10 apply (zenon_or_s _ _ zenon_Ha9); [ zenon_intro zenon_H97 | zenon_intro zenon_H9e ].
% 54.96/55.10 apply (zenon_L26_); trivial.
% 54.96/55.10 apply (zenon_L27_); trivial.
% 54.96/55.10 apply (zenon_L144_); trivial.
% 54.96/55.10 (* end of lemma zenon_L713_ *)
% 54.96/55.10 assert (zenon_L714_ : (((op2 (e21) (e20)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/((op2 (e21) (e23)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> ((op2 (e20) (e20)) = (e23)) -> (((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e21)) = (e22))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> ((op2 (e20) (e21)) = (e21)) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> ((e22) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (e20))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> ((op2 (e21) (op2 (e21) (e22))) = (e22)) -> (~((op2 (e20) (e20)) = (op2 (e20) (e22)))) -> (((op2 (e20) (e22)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e23) (e22)) = (e23))))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> ((e20) = (op2 (e21) (e21))) -> ((op2 (e21) (e21)) = (e22)) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> ((op1 (e11) (op1 (e11) (e13))) = (e13)) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> ((op1 (e12) (e11)) = (e12)) -> (~((e12) = (e13))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((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)) = (op1 (e11) (e10)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e12)) = (e11))) -> ((op1 (e11) (op1 (e11) (e10))) = (e10)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> ((op1 (e11) (op1 (e11) (e11))) = (e11)) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e12))\/((op1 (e11) (e10)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> ((op1 (e11) (op1 (e11) (e12))) = (e12)) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e12) (e13)) = (e12))) -> (~((op1 (e12) (e12)) = (e12))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> ((e12) = (op1 (op1 (op1 (e11) (e11)) (op1 (e11) (e11))) (op1 (e11) (e11)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((h2 (op1 (e11) (e13))) = (op2 (h2 (e11)) (h2 (e13))))) -> ((h2 (e11)) = (e21)) -> ((h2 (e13)) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((e23) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e11)) = (e11))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> ((op1 (e12) (e10)) = (e10)) -> ((op1 (e10) (e12)) = (e10)) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> ((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) -> ((e10) = (op1 (e11) (e11))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> False).
% 54.96/55.10 do 0 intro. intros zenon_H399 zenon_H45 zenon_H3cb zenon_H3b7 zenon_H55 zenon_H116 zenon_H209 zenon_H9f zenon_H3b4 zenon_Hfc zenon_Ha8 zenon_H3b1 zenon_H39d zenon_Hb9 zenon_H282 zenon_H60 zenon_H3f zenon_H3af zenon_H489 zenon_Had zenon_H3c2 zenon_H3a8 zenon_H481 zenon_H98 zenon_H43a zenon_H437 zenon_H33 zenon_H401 zenon_H1a0 zenon_H29e zenon_H18a zenon_H202 zenon_H236 zenon_H2e7 zenon_H2ad zenon_H1cc zenon_H2b9 zenon_H313 zenon_H2c2 zenon_H204 zenon_H316 zenon_H301 zenon_H1fd zenon_H2f8 zenon_H360 zenon_H19d zenon_H206 zenon_H15a zenon_H154 zenon_H2b1 zenon_H1d8 zenon_H23f zenon_H292 zenon_H2a3 zenon_H1da zenon_H2a6 zenon_H2a5 zenon_H14b zenon_H15f zenon_H1b1 zenon_H1be zenon_H180 zenon_H179 zenon_H172 zenon_H32e zenon_H375 zenon_H1ed zenon_H186 zenon_H30e zenon_H27d zenon_H1d1 zenon_H21a zenon_H155 zenon_H23b zenon_H32b zenon_H358 zenon_H4b1 zenon_H270 zenon_H461 zenon_H3b zenon_H1fa zenon_H1a9 zenon_H473 zenon_H1de zenon_H293 zenon_H18f zenon_H474 zenon_H17 zenon_H1e zenon_H15 zenon_H13 zenon_H25.
% 54.96/55.10 apply (zenon_or_s _ _ zenon_H399); [ zenon_intro zenon_H44 | zenon_intro zenon_H39a ].
% 54.96/55.10 apply (zenon_L10_); trivial.
% 54.96/55.10 apply (zenon_or_s _ _ zenon_H39a); [ zenon_intro zenon_H388 | zenon_intro zenon_H39b ].
% 54.96/55.10 apply (zenon_L677_); trivial.
% 54.96/55.10 apply (zenon_or_s _ _ zenon_H39b); [ zenon_intro zenon_H38e | zenon_intro zenon_He9 ].
% 54.96/55.10 apply (zenon_L449_); trivial.
% 54.96/55.10 apply (zenon_L655_); trivial.
% 54.96/55.10 (* end of lemma zenon_L714_ *)
% 54.96/55.10 assert (zenon_L715_ : (((op2 (e21) (e20)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/((op2 (e21) (e23)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> ((op2 (e23) (e21)) = (e23)) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> ((e20) = (op2 (e21) (e21))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> ((op2 (e20) (e23)) = (e22)) -> ((op2 (e21) (op2 (e21) (e22))) = (e22)) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> ((e12) = (op1 (op1 (op1 (e11) (e11)) (op1 (e11) (e11))) (op1 (e11) (e11)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((e12) = (e13))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> ((op1 (e11) (op1 (e11) (e13))) = (e13)) -> ((e23) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((h2 (e13)) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((h2 (e11)) = (e21)) -> (~((h2 (op1 (e11) (e13))) = (op2 (h2 (e11)) (h2 (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e11)) = (e12))\/((op1 (e10) (e11)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e12) (e12)) = (e12))) -> (~((op1 (e12) (e13)) = (e12))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e12)) = (e11))) -> ((op1 (e11) (op1 (e11) (e10))) = (e10)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> ((op1 (e11) (op1 (e11) (e11))) = (e11)) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e12))\/((op1 (e11) (e10)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> ((op1 (e11) (op1 (e11) (e12))) = (e12)) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e11)) = (e11))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> ((op1 (e12) (e10)) = (e10)) -> ((op1 (e10) (e12)) = (e10)) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> ((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) -> ((e10) = (op1 (e11) (e11))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> False).
% 54.96/55.10 do 0 intro. intros zenon_H399 zenon_H45 zenon_He8 zenon_H3af zenon_H33 zenon_H116 zenon_H9f zenon_H3b4 zenon_H3a8 zenon_H464 zenon_H481 zenon_H1a0 zenon_H172 zenon_H155 zenon_H313 zenon_H2b9 zenon_H1cc zenon_H2ad zenon_H2e7 zenon_H236 zenon_H18a zenon_H29e zenon_H3b zenon_H461 zenon_H270 zenon_H4b1 zenon_H358 zenon_H23b zenon_H21a zenon_H180 zenon_H179 zenon_H204 zenon_H186 zenon_H316 zenon_H301 zenon_H1fd zenon_H2f8 zenon_H360 zenon_H19d zenon_H206 zenon_H30e zenon_H32b zenon_H15a zenon_H2c2 zenon_H1d1 zenon_H27d zenon_H209 zenon_H154 zenon_H2b1 zenon_H1d8 zenon_H23f zenon_H292 zenon_H2a3 zenon_H1da zenon_H2a6 zenon_H2a5 zenon_H14b zenon_H15f zenon_H1b1 zenon_H1be zenon_H32e zenon_H375 zenon_H1ed zenon_H1fa zenon_H1a9 zenon_H473 zenon_H1de zenon_H293 zenon_H18f zenon_H474 zenon_H17 zenon_H1e zenon_H15 zenon_H13 zenon_H25.
% 54.96/55.10 apply (zenon_or_s _ _ zenon_H399); [ zenon_intro zenon_H44 | zenon_intro zenon_H39a ].
% 54.96/55.10 apply (zenon_L10_); trivial.
% 54.96/55.10 apply (zenon_or_s _ _ zenon_H39a); [ zenon_intro zenon_H388 | zenon_intro zenon_H39b ].
% 54.96/55.10 apply (zenon_L620_); trivial.
% 54.96/55.10 apply (zenon_or_s _ _ zenon_H39b); [ zenon_intro zenon_H38e | zenon_intro zenon_He9 ].
% 54.96/55.10 apply (zenon_L516_); trivial.
% 54.96/55.10 apply (zenon_L619_); trivial.
% 54.96/55.10 (* end of lemma zenon_L715_ *)
% 54.96/55.10 assert (zenon_L716_ : (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e23) (e20)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> ((e10) = (op1 (e11) (e11))) -> ((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> ((op1 (e10) (e12)) = (e10)) -> ((op1 (e12) (e10)) = (e10)) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e11)) = (e11))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> ((op1 (e11) (op1 (e11) (e12))) = (e12)) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e12))\/((op1 (e11) (e10)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> ((op1 (e11) (op1 (e11) (e11))) = (e11)) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> ((op1 (e11) (op1 (e11) (e10))) = (e10)) -> (~((op1 (e12) (e12)) = (e11))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (~((op1 (e12) (e13)) = (e12))) -> (~((op1 (e12) (e12)) = (e12))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e11)) = (e12))\/((op1 (e10) (e11)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((h2 (op1 (e11) (e13))) = (op2 (h2 (e11)) (h2 (e13))))) -> ((h2 (e11)) = (e21)) -> ((h2 (e13)) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((op1 (e11) (op1 (e11) (e13))) = (e13)) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((e12) = (e13))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> ((e12) = (op1 (op1 (op1 (e11) (e11)) (op1 (e11) (e11))) (op1 (e11) (e11)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> ((op2 (e21) (op2 (e21) (e22))) = (e22)) -> ((op2 (e20) (e23)) = (e22)) -> (((op2 (e21) (e20)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/((op2 (e21) (e23)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> ((op2 (e21) (op2 (e21) (e23))) = (e23)) -> ((op2 (e21) (e21)) = (e23)) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e21)) = (e22))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> ((op2 (e22) (e21)) = (e22)) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> (((op2 (e20) (e21)) = (e20))\/(((op2 (e20) (e21)) = (e21))\/(((op2 (e20) (e21)) = (e22))\/((op2 (e20) (e21)) = (e23))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> ((e23) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((e20) = (op2 (e21) (e21))) -> ((e22) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> False).
% 54.96/55.10 do 0 intro. intros zenon_H3b7 zenon_H55 zenon_H25 zenon_H13 zenon_H15 zenon_H1e zenon_H17 zenon_H474 zenon_H18f zenon_H293 zenon_H1de zenon_H473 zenon_H1a9 zenon_H1fa zenon_H1ed zenon_H375 zenon_H32e zenon_H1be zenon_H1b1 zenon_H15f zenon_H14b zenon_H2a5 zenon_H2a6 zenon_H1da zenon_H2a3 zenon_H292 zenon_H23f zenon_H1d8 zenon_H2b1 zenon_H154 zenon_H209 zenon_H27d zenon_H1d1 zenon_H2c2 zenon_H15a zenon_H32b zenon_H30e zenon_H206 zenon_H19d zenon_H360 zenon_H2f8 zenon_H1fd zenon_H301 zenon_H316 zenon_H186 zenon_H204 zenon_H179 zenon_H180 zenon_H21a zenon_H23b zenon_H358 zenon_H4b1 zenon_H270 zenon_H461 zenon_H29e zenon_H18a zenon_H236 zenon_H2e7 zenon_H2ad zenon_H1cc zenon_H2b9 zenon_H313 zenon_H155 zenon_H172 zenon_H1a0 zenon_H481 zenon_H464 zenon_H399 zenon_H45 zenon_H116 zenon_H38f zenon_H394 zenon_H395 zenon_H388 zenon_H3a8 zenon_H9f zenon_H3b4 zenon_H3b1 zenon_H39d zenon_H93 zenon_Hd3 zenon_H286 zenon_H282 zenon_H8d zenon_H289 zenon_H60 zenon_H3b zenon_H33 zenon_H3f zenon_H3af.
% 54.96/55.10 apply (zenon_or_s _ _ zenon_H3b7); [ zenon_intro zenon_He5 | zenon_intro zenon_H3b8 ].
% 54.96/55.10 apply (zenon_L335_); trivial.
% 54.96/55.10 apply (zenon_or_s _ _ zenon_H3b8); [ zenon_intro zenon_He8 | zenon_intro zenon_H3b9 ].
% 54.96/55.10 apply (zenon_L715_); trivial.
% 54.96/55.10 apply (zenon_or_s _ _ zenon_H3b9); [ zenon_intro zenon_Hfb | zenon_intro zenon_H106 ].
% 54.96/55.10 apply (zenon_L342_); trivial.
% 54.96/55.10 apply (zenon_L341_); trivial.
% 54.96/55.10 (* end of lemma zenon_L716_ *)
% 54.96/55.10 assert (zenon_L717_ : (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (e20))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> ((op2 (e22) (e21)) = (e22)) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> (((op2 (e20) (e21)) = (e20))\/(((op2 (e20) (e21)) = (e21))\/(((op2 (e20) (e21)) = (e22))\/((op2 (e20) (e21)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> ((op2 (e23) (e20)) = (e22)) -> ((op2 (e21) (e22)) = (e22)) -> ((op2 (e22) (e23)) = (e22)) -> ((e22) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> ((e23) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((e20) = (op2 (e21) (e21))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> False).
% 54.96/55.10 do 0 intro. intros zenon_H489 zenon_Had zenon_H93 zenon_Hd3 zenon_H286 zenon_H3c2 zenon_H8d zenon_H289 zenon_H116 zenon_H58 zenon_Hd4 zenon_He2 zenon_H3f zenon_H3b zenon_H33 zenon_H9f.
% 54.96/55.10 apply (zenon_or_s _ _ zenon_H489); [ zenon_intro zenon_H8b | zenon_intro zenon_H48a ].
% 54.96/55.10 exact (zenon_Had zenon_H8b).
% 54.96/55.10 apply (zenon_or_s _ _ zenon_H48a); [ zenon_intro zenon_H3c3 | zenon_intro zenon_H48b ].
% 54.96/55.10 apply (zenon_L353_); trivial.
% 54.96/55.10 apply (zenon_or_s _ _ zenon_H48b); [ zenon_intro zenon_H464 | zenon_intro zenon_H9e ].
% 54.96/55.10 apply (zenon_L682_); trivial.
% 54.96/55.10 apply (zenon_L27_); trivial.
% 54.96/55.10 (* end of lemma zenon_L717_ *)
% 54.96/55.10 assert (zenon_L718_ : (((op2 (e22) (e20)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e22) (e23)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> (~((e22) = (e23))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> ((e22) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (e20))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> ((op2 (e22) (e21)) = (e22)) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> (((op2 (e20) (e21)) = (e20))\/(((op2 (e20) (e21)) = (e21))\/(((op2 (e20) (e21)) = (e22))\/((op2 (e20) (e21)) = (e23))))) -> ((op2 (e23) (e20)) = (e22)) -> ((op2 (e21) (e22)) = (e22)) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> ((op2 (e21) (op2 (e21) (e23))) = (e23)) -> (~((op2 (e21) (e22)) = (op2 (e21) (e23)))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> ((op2 (e20) (e20)) = (e23)) -> (((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e21)) = (e22))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> ((op2 (e20) (e21)) = (e21)) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e23) (e20)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> ((e10) = (op1 (e11) (e11))) -> ((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> ((op1 (e10) (e12)) = (e10)) -> ((op1 (e12) (e10)) = (e10)) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e11)) = (e11))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> ((op1 (e11) (op1 (e11) (e12))) = (e12)) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e12))\/((op1 (e11) (e10)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> ((op1 (e11) (op1 (e11) (e11))) = (e11)) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> ((op1 (e11) (op1 (e11) (e10))) = (e10)) -> (~((op1 (e12) (e12)) = (e11))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (~((op1 (e12) (e13)) = (e12))) -> (~((op1 (e12) (e12)) = (e12))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e11)) = (e12))\/((op1 (e10) (e11)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((h2 (op1 (e11) (e13))) = (op2 (h2 (e11)) (h2 (e13))))) -> ((h2 (e11)) = (e21)) -> ((h2 (e13)) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((op1 (e11) (op1 (e11) (e13))) = (e13)) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((e12) = (e13))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> ((e12) = (op1 (op1 (op1 (e11) (e11)) (op1 (e11) (e11))) (op1 (e11) (e11)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> ((op2 (e21) (op2 (e21) (e22))) = (e22)) -> (((op2 (e21) (e20)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/((op2 (e21) (e23)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> ((e23) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((op2 (e21) (e21)) = (e23)) -> ((e20) = (op2 (e21) (e21))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> False).
% 54.96/55.10 do 0 intro. intros zenon_H3f1 zenon_H11f zenon_Hec zenon_H6e zenon_H3f zenon_H489 zenon_Had zenon_H93 zenon_Hd3 zenon_H286 zenon_H3c2 zenon_H8d zenon_H289 zenon_H58 zenon_Hd4 zenon_H9f zenon_H3b4 zenon_H395 zenon_H47a zenon_H47c zenon_Ha8 zenon_H3b1 zenon_H39d zenon_Hb9 zenon_H282 zenon_H60 zenon_H3af zenon_H3b7 zenon_H55 zenon_H25 zenon_H13 zenon_H15 zenon_H1e zenon_H17 zenon_H474 zenon_H18f zenon_H293 zenon_H1de zenon_H473 zenon_H1a9 zenon_H1fa zenon_H1ed zenon_H375 zenon_H32e zenon_H1be zenon_H1b1 zenon_H15f zenon_H14b zenon_H2a5 zenon_H2a6 zenon_H1da zenon_H2a3 zenon_H292 zenon_H23f zenon_H1d8 zenon_H2b1 zenon_H154 zenon_H209 zenon_H27d zenon_H1d1 zenon_H2c2 zenon_H15a zenon_H32b zenon_H30e zenon_H206 zenon_H19d zenon_H360 zenon_H2f8 zenon_H1fd zenon_H301 zenon_H316 zenon_H186 zenon_H204 zenon_H179 zenon_H180 zenon_H21a zenon_H23b zenon_H358 zenon_H4b1 zenon_H270 zenon_H461 zenon_H29e zenon_H18a zenon_H236 zenon_H2e7 zenon_H2ad zenon_H1cc zenon_H2b9 zenon_H313 zenon_H155 zenon_H172 zenon_H1a0 zenon_H481 zenon_H399 zenon_H45 zenon_H38f zenon_H394 zenon_H3a8 zenon_H47e zenon_H3b zenon_H388 zenon_H33 zenon_H116.
% 54.96/55.10 apply (zenon_or_s _ _ zenon_H3f1); [ zenon_intro zenon_H3df | zenon_intro zenon_H3f2 ].
% 54.96/55.10 apply (zenon_L364_); trivial.
% 54.96/55.10 apply (zenon_or_s _ _ zenon_H3f2); [ zenon_intro zenon_H3ba | zenon_intro zenon_H3f3 ].
% 54.96/55.10 apply (zenon_L350_); trivial.
% 54.96/55.10 apply (zenon_or_s _ _ zenon_H3f3); [ zenon_intro zenon_Hf6 | zenon_intro zenon_Heb ].
% 54.96/55.10 apply (zenon_or_s _ _ zenon_H47e); [ zenon_intro zenon_H464 | zenon_intro zenon_H47f ].
% 54.96/55.10 apply (zenon_L716_); trivial.
% 54.96/55.10 apply (zenon_or_s _ _ zenon_H47f); [ zenon_intro zenon_H478 | zenon_intro zenon_H480 ].
% 54.96/55.10 apply (zenon_L514_); trivial.
% 54.96/55.10 apply (zenon_or_s _ _ zenon_H480); [ zenon_intro zenon_He2 | zenon_intro zenon_H6d ].
% 54.96/55.10 apply (zenon_L717_); trivial.
% 54.96/55.10 apply (zenon_L17_); trivial.
% 54.96/55.10 apply (zenon_L323_); trivial.
% 54.96/55.10 (* end of lemma zenon_L718_ *)
% 54.96/55.10 assert (zenon_L719_ : (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (((op2 (e21) (e20)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/((op2 (e21) (e23)) = (e23))))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (~((op2 (e20) (e20)) = (op2 (e23) (e20)))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> (((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e21)) = (e22))\/((op2 (e23) (e21)) = (e23))))) -> ((op2 (e20) (e20)) = (e23)) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (~((op2 (e21) (e22)) = (op2 (e21) (e23)))) -> ((op2 (e21) (op2 (e21) (e23))) = (e23)) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> ((op2 (e21) (e22)) = (e22)) -> ((op2 (e23) (e20)) = (e22)) -> (((op2 (e20) (e21)) = (e20))\/(((op2 (e20) (e21)) = (e21))\/(((op2 (e20) (e21)) = (e22))\/((op2 (e20) (e21)) = (e23))))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> ((op2 (e22) (e21)) = (e22)) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> ((e22) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((e22) = (e23))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> (((op2 (e22) (e20)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e22) (e23)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> ((e20) = (op2 (e21) (e21))) -> ((op2 (e21) (op2 (e21) (e22))) = (e22)) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> ((op2 (e20) (e21)) = (e21)) -> (~((op2 (e20) (e23)) = (e20))) -> (((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))))) -> ((op1 (e11) (op1 (e11) (e13))) = (e13)) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> ((op1 (e12) (e11)) = (e12)) -> (~((e12) = (e13))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((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)) = (op1 (e11) (e10)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e12)) = (e11))) -> ((op1 (e11) (op1 (e11) (e10))) = (e10)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> ((op1 (e11) (op1 (e11) (e11))) = (e11)) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e12))\/((op1 (e11) (e10)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> ((op1 (e11) (op1 (e11) (e12))) = (e12)) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e12) (e13)) = (e12))) -> (~((op1 (e12) (e12)) = (e12))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> ((e12) = (op1 (op1 (op1 (e11) (e11)) (op1 (e11) (e11))) (op1 (e11) (e11)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((h2 (op1 (e11) (e13))) = (op2 (h2 (e11)) (h2 (e13))))) -> ((h2 (e11)) = (e21)) -> ((h2 (e13)) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((e23) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e11)) = (e11))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> ((op1 (e12) (e10)) = (e10)) -> ((op1 (e10) (e12)) = (e10)) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> ((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) -> ((e10) = (op1 (e11) (e11))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> False).
% 54.96/55.10 do 0 intro. intros zenon_H116 zenon_H47e zenon_H394 zenon_H38f zenon_H45 zenon_H399 zenon_H209 zenon_H55 zenon_H3b7 zenon_H3af zenon_H60 zenon_H282 zenon_H39d zenon_H3b1 zenon_Ha8 zenon_H47c zenon_H47a zenon_H395 zenon_H3b4 zenon_Hd4 zenon_H58 zenon_H289 zenon_H8d zenon_H286 zenon_Hd3 zenon_H93 zenon_H3f zenon_H6e zenon_Hec zenon_H11f zenon_H3f1 zenon_H9f zenon_H33 zenon_H481 zenon_H3a8 zenon_H3c2 zenon_Hb9 zenon_Had zenon_H489 zenon_H1a0 zenon_H29e zenon_H18a zenon_H202 zenon_H236 zenon_H2e7 zenon_H2ad zenon_H1cc zenon_H2b9 zenon_H313 zenon_H2c2 zenon_H204 zenon_H316 zenon_H301 zenon_H1fd zenon_H2f8 zenon_H360 zenon_H19d zenon_H206 zenon_H15a zenon_H154 zenon_H2b1 zenon_H1d8 zenon_H23f zenon_H292 zenon_H2a3 zenon_H1da zenon_H2a6 zenon_H2a5 zenon_H14b zenon_H15f zenon_H1b1 zenon_H1be zenon_H180 zenon_H179 zenon_H172 zenon_H32e zenon_H375 zenon_H1ed zenon_H186 zenon_H30e zenon_H27d zenon_H1d1 zenon_H21a zenon_H155 zenon_H23b zenon_H32b zenon_H358 zenon_H4b1 zenon_H270 zenon_H461 zenon_H3b zenon_H1fa zenon_H1a9 zenon_H473 zenon_H1de zenon_H293 zenon_H18f zenon_H474 zenon_H17 zenon_H1e zenon_H15 zenon_H13 zenon_H25.
% 54.96/55.11 apply (zenon_or_s _ _ zenon_H399); [ zenon_intro zenon_H44 | zenon_intro zenon_H39a ].
% 54.96/55.11 apply (zenon_L10_); trivial.
% 54.96/55.11 apply (zenon_or_s _ _ zenon_H39a); [ zenon_intro zenon_H388 | zenon_intro zenon_H39b ].
% 54.96/55.11 apply (zenon_L718_); trivial.
% 54.96/55.11 apply (zenon_or_s _ _ zenon_H39b); [ zenon_intro zenon_H38e | zenon_intro zenon_He9 ].
% 54.96/55.11 apply (zenon_L590_); trivial.
% 54.96/55.11 apply (zenon_L655_); trivial.
% 54.96/55.11 (* end of lemma zenon_L719_ *)
% 54.96/55.11 assert (zenon_L720_ : ((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13)))) -> (~((op2 (e20) (e20)) = (e22))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> ((e22) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> ((e23) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((e20) = (op2 (e21) (e21))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e20) (e21)) = (e23))\/(((op2 (e20) (e22)) = (e23))\/((op2 (e20) (e23)) = (e23))))) -> (((op2 (e21) (e20)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/((op2 (e21) (e23)) = (e23))))) -> ((op1 (e12) (e11)) = (e12)) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e22)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> ((op2 (e21) (op2 (e21) (e22))) = (e22)) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> ((op2 (e20) (e21)) = (e21)) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e23)) = (e20))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e21)) = (e22))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> ((op1 (e11) (op1 (e11) (e10))) = (e10)) -> ((op1 (e12) (e10)) = (e10)) -> ((op1 (e10) (e12)) = (e10)) -> (~((op1 (e12) (e12)) = (e11))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> ((op1 (e11) (op1 (e11) (e12))) = (e12)) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> ((h2 (e11)) = (e21)) -> ((h2 (e13)) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> (~((h2 (op1 (e11) (e13))) = (op2 (h2 (e11)) (h2 (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((e12) = (e13))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> ((op1 (e11) (op1 (e11) (e13))) = (e13)) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e12) (e12)) = (e12))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e11)) = (e12))\/((op1 (e10) (e11)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> ((e10) = (op1 (e11) (e11))) -> ((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) -> ((e12) = (op1 (op1 (op1 (e11) (e11)) (op1 (e11) (e11))) (op1 (e11) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e11) (e11)) = (e11))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e12))\/((op1 (e11) (e10)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> ((op1 (e11) (op1 (e11) (e11))) = (e11)) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e20) (e22)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e23) (e22)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (((op2 (e20) (e21)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e23) (e21)) = (e22))))) -> (((op2 (e22) (e20)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e22) (e23)) = (e23))))) -> ((op2 (e21) (op2 (e21) (e23))) = (e23)) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> (((op2 (e20) (e21)) = (e20))\/(((op2 (e20) (e21)) = (e21))\/(((op2 (e20) (e21)) = (e22))\/((op2 (e20) (e21)) = (e23))))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (~((op2 (e21) (e22)) = (op2 (e21) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((e22) = (e23))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> (((op2 (e20) (e20)) = (e22))\/(((op2 (e21) (e20)) = (e22))\/(((op2 (e22) (e20)) = (e22))\/((op2 (e23) (e20)) = (e22))))) -> False).
% 54.96/55.11 do 0 intro. intros zenon_H22c zenon_Hbd zenon_H3e zenon_H3f zenon_H3b zenon_H33 zenon_Hb0 zenon_Ha5 zenon_H399 zenon_H202 zenon_H437 zenon_H98 zenon_H489 zenon_H9f zenon_H481 zenon_H3a8 zenon_Hb9 zenon_H3c2 zenon_Had zenon_H3b7 zenon_H39d zenon_H282 zenon_H60 zenon_H3b1 zenon_Hfc zenon_H1a0 zenon_H1e zenon_H1fa zenon_H1de zenon_H292 zenon_H293 zenon_H18f zenon_H23f zenon_H1da zenon_H32e zenon_H1ed zenon_H375 zenon_H209 zenon_H21a zenon_H2c2 zenon_H270 zenon_H461 zenon_H4b1 zenon_H358 zenon_H2ad zenon_H236 zenon_H32b zenon_H19d zenon_H316 zenon_H360 zenon_H1cc zenon_H18a zenon_H1fd zenon_H172 zenon_H29e zenon_H2f8 zenon_H301 zenon_H23b zenon_H1d1 zenon_H204 zenon_H179 zenon_H180 zenon_H186 zenon_H17 zenon_H206 zenon_H2b9 zenon_H30e zenon_H25 zenon_H2e7 zenon_H15a zenon_H13 zenon_H15 zenon_H155 zenon_H154 zenon_H473 zenon_H15f zenon_H1a9 zenon_H14b zenon_H1be zenon_H1d8 zenon_H2a3 zenon_H2a5 zenon_H2a6 zenon_H2b1 zenon_H1b1 zenon_H313 zenon_H474 zenon_H116 zenon_H3af zenon_H3b4 zenon_H55 zenon_H3cb zenon_H43a zenon_H45 zenon_H3fd zenon_H3f1 zenon_H395 zenon_H394 zenon_H38f zenon_H8d zenon_H93 zenon_H289 zenon_H47c zenon_H47a zenon_H6e zenon_H47e zenon_Hec zenon_H11f zenon_H286 zenon_H40c zenon_Hf1 zenon_H4ae zenon_Hb7.
% 54.96/55.11 apply (zenon_or_s _ _ zenon_H22c); [ zenon_intro zenon_H27d | zenon_intro zenon_H29d ].
% 54.96/55.11 apply (zenon_or_s _ _ zenon_Hb7); [ zenon_intro zenon_Hbf | zenon_intro zenon_Hbe ].
% 54.96/55.11 exact (zenon_Hbd zenon_Hbf).
% 54.96/55.11 apply (zenon_or_s _ _ zenon_Hbe); [ zenon_intro zenon_H40 | zenon_intro zenon_Hc0 ].
% 54.96/55.11 apply (zenon_L8_); trivial.
% 54.96/55.11 apply (zenon_or_s _ _ zenon_Hc0); [ zenon_intro zenon_Hb1 | zenon_intro zenon_H58 ].
% 54.96/55.11 apply (zenon_L30_); trivial.
% 54.96/55.11 apply (zenon_or_s _ _ zenon_Ha5); [ zenon_intro zenon_Ha8 | zenon_intro zenon_Ha7 ].
% 54.96/55.11 apply (zenon_or_s _ _ zenon_H4ae); [ zenon_intro zenon_H40 | zenon_intro zenon_H4af ].
% 54.96/55.11 apply (zenon_L8_); trivial.
% 54.96/55.11 apply (zenon_or_s _ _ zenon_H4af); [ zenon_intro zenon_H401 | zenon_intro zenon_H4b0 ].
% 54.96/55.11 apply (zenon_L714_); trivial.
% 54.96/55.11 apply (zenon_or_s _ _ zenon_H4b0); [ zenon_intro zenon_Hd4 | zenon_intro zenon_H478 ].
% 54.96/55.11 apply (zenon_or_s _ _ zenon_H3fd); [ zenon_intro zenon_H285 | zenon_intro zenon_H3ff ].
% 54.96/55.11 apply (zenon_L684_); trivial.
% 54.96/55.11 apply (zenon_or_s _ _ zenon_H3ff); [ zenon_intro zenon_H401 | zenon_intro zenon_H400 ].
% 54.96/55.11 apply (zenon_L714_); trivial.
% 54.96/55.11 apply (zenon_or_s _ _ zenon_H400); [ zenon_intro zenon_Hd3 | zenon_intro zenon_H5f ].
% 54.96/55.11 apply (zenon_L719_); trivial.
% 54.96/55.11 apply (zenon_L15_); trivial.
% 54.96/55.11 apply (zenon_L712_); trivial.
% 54.96/55.11 apply (zenon_or_s _ _ zenon_Ha7); [ zenon_intro zenon_H92 | zenon_intro zenon_Ha9 ].
% 54.96/55.11 apply (zenon_L25_); trivial.
% 54.96/55.11 apply (zenon_or_s _ _ zenon_Ha9); [ zenon_intro zenon_H97 | zenon_intro zenon_H9e ].
% 54.96/55.11 apply (zenon_L26_); trivial.
% 54.96/55.11 apply (zenon_L27_); trivial.
% 54.96/55.11 apply (zenon_L144_); trivial.
% 54.96/55.11 (* end of lemma zenon_L720_ *)
% 54.96/55.11 assert (zenon_L721_ : ((~((op2 (e20) (e22)) = (e20)))\/(~((op2 (e20) (e20)) = (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> ((e22) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> (((op2 (e21) (e20)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/((op2 (e21) (e23)) = (e23))))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> ((op2 (e21) (op2 (e21) (e22))) = (e22)) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> ((op2 (e20) (e21)) = (e21)) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e21)) = (e22))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> ((h2 (e11)) = (e21)) -> ((h2 (e13)) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> (~((h2 (op1 (e11) (e13))) = (op2 (h2 (e11)) (h2 (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e20) (e22)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e23) (e22)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (((op2 (e20) (e21)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e23) (e21)) = (e22))))) -> ((((op2 (e20) (e20)) = (e20))/\(((op2 (e20) (e20)) = (e20))/\(((~((op2 (e20) (e20)) = (e20)))\/(~((op2 (e20) (e20)) = (e20))))/\(((~((op2 (e20) (e21)) = (e20)))\/(~((op2 (e20) (e20)) = (e21))))/\(((~((op2 (e20) (e22)) = (e20)))\/(~((op2 (e20) (e20)) = (e22))))/\((~((op2 (e20) (e23)) = (e20)))\/(~((op2 (e20) (e20)) = (e23)))))))))\/((((op2 (e20) (e21)) = (e20))/\(((op2 (e21) (e20)) = (e20))/\(((~((op2 (e21) (e20)) = (e21)))\/(~((op2 (e21) (e21)) = (e20))))/\(((~((op2 (e21) (e21)) = (e21)))\/(~((op2 (e21) (e21)) = (e21))))/\(((~((op2 (e21) (e22)) = (e21)))\/(~((op2 (e21) (e21)) = (e22))))/\((~((op2 (e21) (e23)) = (e21)))\/(~((op2 (e21) (e21)) = (e23)))))))))\/((((op2 (e20) (e22)) = (e20))/\(((op2 (e22) (e20)) = (e20))/\(((~((op2 (e22) (e20)) = (e22)))\/(~((op2 (e22) (e22)) = (e20))))/\(((~((op2 (e22) (e21)) = (e22)))\/(~((op2 (e22) (e22)) = (e21))))/\(((~((op2 (e22) (e22)) = (e22)))\/(~((op2 (e22) (e22)) = (e22))))/\((~((op2 (e22) (e23)) = (e22)))\/(~((op2 (e22) (e22)) = (e23)))))))))\/((((op2 (e20) (e23)) = (e20))/\(((op2 (e23) (e20)) = (e20))/\(((~((op2 (e23) (e20)) = (e23)))\/(~((op2 (e23) (e23)) = (e20))))/\(((~((op2 (e23) (e21)) = (e23)))\/(~((op2 (e23) (e23)) = (e21))))/\(((~((op2 (e23) (e22)) = (e23)))\/(~((op2 (e23) (e23)) = (e22))))/\((~((op2 (e23) (e23)) = (e23)))\/(~((op2 (e23) (e23)) = (e23)))))))))\/((((op2 (e21) (e20)) = (e21))/\(((op2 (e20) (e21)) = (e21))/\(((~((op2 (e20) (e20)) = (e20)))\/(~((op2 (e20) (e20)) = (e20))))/\(((~((op2 (e20) (e21)) = (e20)))\/(~((op2 (e20) (e20)) = (e21))))/\(((~((op2 (e20) (e22)) = (e20)))\/(~((op2 (e20) (e20)) = (e22))))/\((~((op2 (e20) (e23)) = (e20)))\/(~((op2 (e20) (e20)) = (e23)))))))))\/((((op2 (e21) (e21)) = (e21))/\(((op2 (e21) (e21)) = (e21))/\(((~((op2 (e21) (e20)) = (e21)))\/(~((op2 (e21) (e21)) = (e20))))/\(((~((op2 (e21) (e21)) = (e21)))\/(~((op2 (e21) (e21)) = (e21))))/\(((~((op2 (e21) (e22)) = (e21)))\/(~((op2 (e21) (e21)) = (e22))))/\((~((op2 (e21) (e23)) = (e21)))\/(~((op2 (e21) (e21)) = (e23)))))))))\/((((op2 (e21) (e22)) = (e21))/\(((op2 (e22) (e21)) = (e21))/\(((~((op2 (e22) (e20)) = (e22)))\/(~((op2 (e22) (e22)) = (e20))))/\(((~((op2 (e22) (e21)) = (e22)))\/(~((op2 (e22) (e22)) = (e21))))/\(((~((op2 (e22) (e22)) = (e22)))\/(~((op2 (e22) (e22)) = (e22))))/\((~((op2 (e22) (e23)) = (e22)))\/(~((op2 (e22) (e22)) = (e23)))))))))\/((((op2 (e21) (e23)) = (e21))/\(((op2 (e23) (e21)) = (e21))/\(((~((op2 (e23) (e20)) = (e23)))\/(~((op2 (e23) (e23)) = (e20))))/\(((~((op2 (e23) (e21)) = (e23)))\/(~((op2 (e23) (e23)) = (e21))))/\(((~((op2 (e23) (e22)) = (e23)))\/(~((op2 (e23) (e23)) = (e22))))/\((~((op2 (e23) (e23)) = (e23)))\/(~((op2 (e23) (e23)) = (e23)))))))))\/((((op2 (e22) (e20)) = (e22))/\(((op2 (e20) (e22)) = (e22))/\(((~((op2 (e20) (e20)) = (e20)))\/(~((op2 (e20) (e20)) = (e20))))/\(((~((op2 (e20) (e21)) = (e20)))\/(~((op2 (e20) (e20)) = (e21))))/\(((~((op2 (e20) (e22)) = (e20)))\/(~((op2 (e20) (e20)) = (e22))))/\((~((op2 (e20) (e23)) = (e20)))\/(~((op2 (e20) (e20)) = (e23)))))))))\/((((op2 (e22) (e21)) = (e22))/\(((op2 (e21) (e22)) = (e22))/\(((~((op2 (e21) (e20)) = (e21)))\/(~((op2 (e21) (e21)) = (e20))))/\(((~((op2 (e21) (e21)) = (e21)))\/(~((op2 (e21) (e21)) = (e21))))/\(((~((op2 (e21) (e22)) = (e21)))\/(~((op2 (e21) (e21)) = (e22))))/\((~((op2 (e21) (e23)) = (e21)))\/(~((op2 (e21) (e21)) = (e23)))))))))\/((((op2 (e22) (e22)) = (e22))/\(((op2 (e22) (e22)) = (e22))/\(((~((op2 (e22) (e20)) = (e22)))\/(~((op2 (e22) (e22)) = (e20))))/\(((~((op2 (e22) (e21)) = (e22)))\/(~((op2 (e22) (e22)) = (e21))))/\(((~((op2 (e22) (e22)) = (e22)))\/(~((op2 (e22) (e22)) = (e22))))/\((~((op2 (e22) (e23)) = (e22)))\/(~((op2 (e22) (e22)) = (e23)))))))))\/((((op2 (e22) (e23)) = (e22))/\(((op2 (e23) (e22)) = (e22))/\(((~((op2 (e23) (e20)) = (e23)))\/(~((op2 (e23) (e23)) = (e20))))/\(((~((op2 (e23) (e21)) = (e23)))\/(~((op2 (e23) (e23)) = (e21))))/\(((~((op2 (e23) (e22)) = (e23)))\/(~((op2 (e23) (e23)) = (e22))))/\((~((op2 (e23) (e23)) = (e23)))\/(~((op2 (e23) (e23)) = (e23)))))))))\/((((op2 (e23) (e20)) = (e23))/\(((op2 (e20) (e23)) = (e23))/\(((~((op2 (e20) (e20)) = (e20)))\/(~((op2 (e20) (e20)) = (e20))))/\(((~((op2 (e20) (e21)) = (e20)))\/(~((op2 (e20) (e20)) = (e21))))/\(((~((op2 (e20) (e22)) = (e20)))\/(~((op2 (e20) (e20)) = (e22))))/\((~((op2 (e20) (e23)) = (e20)))\/(~((op2 (e20) (e20)) = (e23)))))))))\/((((op2 (e23) (e21)) = (e23))/\(((op2 (e21) (e23)) = (e23))/\(((~((op2 (e21) (e20)) = (e21)))\/(~((op2 (e21) (e21)) = (e20))))/\(((~((op2 (e21) (e21)) = (e21)))\/(~((op2 (e21) (e21)) = (e21))))/\(((~((op2 (e21) (e22)) = (e21)))\/(~((op2 (e21) (e21)) = (e22))))/\((~((op2 (e21) (e23)) = (e21)))\/(~((op2 (e21) (e21)) = (e23)))))))))\/((((op2 (e23) (e22)) = (e23))/\(((op2 (e22) (e23)) = (e23))/\(((~((op2 (e22) (e20)) = (e22)))\/(~((op2 (e22) (e22)) = (e20))))/\(((~((op2 (e22) (e21)) = (e22)))\/(~((op2 (e22) (e22)) = (e21))))/\(((~((op2 (e22) (e22)) = (e22)))\/(~((op2 (e22) (e22)) = (e22))))/\((~((op2 (e22) (e23)) = (e22)))\/(~((op2 (e22) (e22)) = (e23)))))))))\/(((op2 (e23) (e23)) = (e23))/\(((op2 (e23) (e23)) = (e23))/\(((~((op2 (e23) (e20)) = (e23)))\/(~((op2 (e23) (e23)) = (e20))))/\(((~((op2 (e23) (e21)) = (e23)))\/(~((op2 (e23) (e23)) = (e21))))/\(((~((op2 (e23) (e22)) = (e23)))\/(~((op2 (e23) (e23)) = (e22))))/\((~((op2 (e23) (e23)) = (e23)))\/(~((op2 (e23) (e23)) = (e23)))))))))))))))))))))))) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e23)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> (((op2 (e23) (e23)) = (e20))\/(((op2 (e23) (e23)) = (e21))\/(((op2 (e23) (e23)) = (e22))\/((op2 (e23) (e23)) = (e23))))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e10)) = (e12))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e13) (e10)) = (e12))))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op2 (e21) (e22)) = (op2 (e21) (e23)))) -> ((op2 (e21) (op2 (e21) (e23))) = (e23)) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (((op2 (e22) (e22)) = (e20))\/(((op2 (e22) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e22)) = (e23))))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> (~((e22) = (e23))) -> (((op2 (e22) (e20)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e22) (e23)) = (e23))))) -> (~((op2 (e21) (e21)) = (e21))) -> (~((e21) = (e22))) -> (((op2 (e20) (e21)) = (e20))\/(((op2 (e20) (e21)) = (e21))\/(((op2 (e20) (e21)) = (e22))\/((op2 (e20) (e21)) = (e23))))) -> (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> (((op1 (e10) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e12) (e11)) = (e13))))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e12) (e13)) = (e10))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> ((((op1 (e10) (op1 (e10) (e10))) = (e10))/\(((op1 (e10) (op1 (e10) (e11))) = (e11))/\(((op1 (e10) (op1 (e10) (e12))) = (e12))/\(((op1 (e10) (op1 (e10) (e13))) = (e13))/\(((~((op1 (e10) (e10)) = (e10)))\/((op1 (e10) (e10)) = (e10)))/\(((~((op1 (e11) (e11)) = (e10)))\/((op1 (e11) (e10)) = (e11)))/\(((~((op1 (e12) (e12)) = (e10)))\/((op1 (e12) (e10)) = (e12)))/\((~((op1 (e13) (e13)) = (e10)))\/((op1 (e13) (e10)) = (e13))))))))))\/((((op1 (e11) (op1 (e11) (e10))) = (e10))/\(((op1 (e11) (op1 (e11) (e11))) = (e11))/\(((op1 (e11) (op1 (e11) (e12))) = (e12))/\(((op1 (e11) (op1 (e11) (e13))) = (e13))/\(((~((op1 (e10) (e10)) = (e11)))\/((op1 (e10) (e11)) = (e10)))/\(((~((op1 (e11) (e11)) = (e11)))\/((op1 (e11) (e11)) = (e11)))/\(((~((op1 (e12) (e12)) = (e11)))\/((op1 (e12) (e11)) = (e12)))/\((~((op1 (e13) (e13)) = (e11)))\/((op1 (e13) (e11)) = (e13))))))))))\/((((op1 (e12) (op1 (e12) (e10))) = (e10))/\(((op1 (e12) (op1 (e12) (e11))) = (e11))/\(((op1 (e12) (op1 (e12) (e12))) = (e12))/\(((op1 (e12) (op1 (e12) (e13))) = (e13))/\(((~((op1 (e10) (e10)) = (e12)))\/((op1 (e10) (e12)) = (e10)))/\(((~((op1 (e11) (e11)) = (e12)))\/((op1 (e11) (e12)) = (e11)))/\(((~((op1 (e12) (e12)) = (e12)))\/((op1 (e12) (e12)) = (e12)))/\((~((op1 (e13) (e13)) = (e12)))\/((op1 (e13) (e12)) = (e13))))))))))\/(((op1 (e13) (op1 (e13) (e10))) = (e10))/\(((op1 (e13) (op1 (e13) (e11))) = (e11))/\(((op1 (e13) (op1 (e13) (e12))) = (e12))/\(((op1 (e13) (op1 (e13) (e13))) = (e13))/\(((~((op1 (e10) (e10)) = (e13)))\/((op1 (e10) (e13)) = (e10)))/\(((~((op1 (e11) (e11)) = (e13)))\/((op1 (e11) (e13)) = (e11)))/\(((~((op1 (e12) (e12)) = (e13)))\/((op1 (e12) (e13)) = (e12)))/\((~((op1 (e13) (e13)) = (e13)))\/((op1 (e13) (e13)) = (e13))))))))))))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> (((op2 (e21) (e20)) = (e20))\/(((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e20)) = (e22))\/((op2 (e21) (e20)) = (e23))))) -> ((~((op2 (e23) (e23)) = (e21)))\/((op2 (e23) (e21)) = (e23))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> (((op2 (e20) (e20)) = (e22))\/(((op2 (e21) (e20)) = (e22))\/(((op2 (e22) (e20)) = (e22))\/((op2 (e23) (e20)) = (e22))))) -> ((e10) = (op1 (e11) (e11))) -> ((((op1 (e10) (e10)) = (e10))/\(((op1 (e10) (e10)) = (e10))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11))))/\(((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12))))/\((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))))))))\/((((op1 (e10) (e11)) = (e10))/\(((op1 (e11) (e10)) = (e10))/\(((~((op1 (e11) (e10)) = (e11)))\/(~((op1 (e11) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e11) (e12)) = (e11)))\/(~((op1 (e11) (e11)) = (e12))))/\((~((op1 (e11) (e13)) = (e11)))\/(~((op1 (e11) (e11)) = (e13)))))))))\/((((op1 (e10) (e12)) = (e10))/\(((op1 (e12) (e10)) = (e10))/\(((~((op1 (e12) (e10)) = (e12)))\/(~((op1 (e12) (e12)) = (e10))))/\(((~((op1 (e12) (e11)) = (e12)))\/(~((op1 (e12) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13)))))))))\/((((op1 (e10) (e13)) = (e10))/\(((op1 (e13) (e10)) = (e10))/\(((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e13) (e13)) = (e10))))/\(((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11))))/\(((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e13) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13)))))))))\/((((op1 (e11) (e10)) = (e11))/\(((op1 (e10) (e11)) = (e11))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11))))/\(((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12))))/\((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))))))))\/((((op1 (e11) (e11)) = (e11))/\(((op1 (e11) (e11)) = (e11))/\(((~((op1 (e11) (e10)) = (e11)))\/(~((op1 (e11) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e11) (e12)) = (e11)))\/(~((op1 (e11) (e11)) = (e12))))/\((~((op1 (e11) (e13)) = (e11)))\/(~((op1 (e11) (e11)) = (e13)))))))))\/((((op1 (e11) (e12)) = (e11))/\(((op1 (e12) (e11)) = (e11))/\(((~((op1 (e12) (e10)) = (e12)))\/(~((op1 (e12) (e12)) = (e10))))/\(((~((op1 (e12) (e11)) = (e12)))\/(~((op1 (e12) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13)))))))))\/((((op1 (e11) (e13)) = (e11))/\(((op1 (e13) (e11)) = (e11))/\(((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e13) (e13)) = (e10))))/\(((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11))))/\(((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e13) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13)))))))))\/((((op1 (e12) (e10)) = (e12))/\(((op1 (e10) (e12)) = (e12))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11))))/\(((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12))))/\((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))))))))\/((((op1 (e12) (e11)) = (e12))/\(((op1 (e11) (e12)) = (e12))/\(((~((op1 (e11) (e10)) = (e11)))\/(~((op1 (e11) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e11) (e12)) = (e11)))\/(~((op1 (e11) (e11)) = (e12))))/\((~((op1 (e11) (e13)) = (e11)))\/(~((op1 (e11) (e11)) = (e13)))))))))\/((((op1 (e12) (e12)) = (e12))/\(((op1 (e12) (e12)) = (e12))/\(((~((op1 (e12) (e10)) = (e12)))\/(~((op1 (e12) (e12)) = (e10))))/\(((~((op1 (e12) (e11)) = (e12)))\/(~((op1 (e12) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13)))))))))\/((((op1 (e12) (e13)) = (e12))/\(((op1 (e13) (e12)) = (e12))/\(((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e13) (e13)) = (e10))))/\(((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11))))/\(((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e13) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13)))))))))\/((((op1 (e13) (e10)) = (e13))/\(((op1 (e10) (e13)) = (e13))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11))))/\(((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12))))/\((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))))))))\/((((op1 (e13) (e11)) = (e13))/\(((op1 (e11) (e13)) = (e13))/\(((~((op1 (e11) (e10)) = (e11)))\/(~((op1 (e11) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e11) (e12)) = (e11)))\/(~((op1 (e11) (e11)) = (e12))))/\((~((op1 (e11) (e13)) = (e11)))\/(~((op1 (e11) (e11)) = (e13)))))))))\/((((op1 (e13) (e12)) = (e13))/\(((op1 (e12) (e13)) = (e13))/\(((~((op1 (e12) (e10)) = (e12)))\/(~((op1 (e12) (e12)) = (e10))))/\(((~((op1 (e12) (e11)) = (e12)))\/(~((op1 (e12) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13)))))))))\/(((op1 (e13) (e13)) = (e13))/\(((op1 (e13) (e13)) = (e13))/\(((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e13) (e13)) = (e10))))/\(((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11))))/\(((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e13) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13)))))))))))))))))))))))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((e12) = (e13))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e13) (e13)) = (e10))\/(((op1 (e13) (e13)) = (e11))\/(((op1 (e13) (e13)) = (e12))\/((op1 (e13) (e13)) = (e13))))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (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) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e11)) = (e12))\/((op1 (e10) (e11)) = (e13))))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((e10) = (e12))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> ((e12) = (op1 (op1 (op1 (e11) (e11)) (op1 (e11) (e11))) (op1 (e11) (e11)))) -> ((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e12))\/((op1 (e11) (e10)) = (e13))))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e20) (e21)) = (e20))\/(((op2 (e20) (e22)) = (e20))\/((op2 (e20) (e23)) = (e20))))) -> ((e20) = (op2 (e21) (e21))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> (~((op2 (e20) (e20)) = (e20))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e20) (e21)) = (e23))\/(((op2 (e20) (e22)) = (e23))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e22)))) -> ((e23) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> ((~((op2 (e20) (e23)) = (e20)))\/(~((op2 (e20) (e20)) = (e23)))) -> False).
% 54.96/55.11 do 0 intro. intros zenon_Hbc zenon_H3e zenon_H3f zenon_Hb0 zenon_H399 zenon_H437 zenon_H489 zenon_H481 zenon_H3a8 zenon_Hb9 zenon_H3c2 zenon_H3b7 zenon_H39d zenon_H282 zenon_H60 zenon_H3b1 zenon_Hfc zenon_H32e zenon_H2c2 zenon_H270 zenon_H461 zenon_H4b1 zenon_H358 zenon_H2ad zenon_H32b zenon_H316 zenon_H360 zenon_H2f8 zenon_H301 zenon_H2b9 zenon_H30e zenon_H2e7 zenon_H2a3 zenon_H2a5 zenon_H2b1 zenon_H313 zenon_H474 zenon_H116 zenon_H3af zenon_H3b4 zenon_H55 zenon_H3cb zenon_H43a zenon_H45 zenon_H3fd zenon_H128 zenon_H394 zenon_H38f zenon_H67 zenon_Hca zenon_Hc5 zenon_H382 zenon_H2c0 zenon_H4c3 zenon_H2c9 zenon_H328 zenon_H485 zenon_H4c2 zenon_H47e zenon_H6e zenon_H47a zenon_H395 zenon_H47c zenon_H100 zenon_H37d zenon_H11f zenon_Hec zenon_H3f1 zenon_H28d zenon_H27e zenon_H289 zenon_H28c zenon_H2fd zenon_H2fb zenon_H2f6 zenon_H325 zenon_H322 zenon_H321 zenon_H30b zenon_H2ea zenon_H2e2 zenon_H2e6 zenon_H2d9 zenon_H2d1 zenon_H35d zenon_H345 zenon_H355 zenon_H36e zenon_H32 zenon_H4a zenon_H3c1 zenon_H286 zenon_H40c zenon_Hf1 zenon_H4ae zenon_Hb7 zenon_H13 zenon_H245 zenon_H23b zenon_H236 zenon_H21a zenon_H20c zenon_H1be zenon_H1b1 zenon_H1de zenon_H1cc zenon_H1d8 zenon_H1da zenon_H1e8 zenon_H1ed zenon_H1f4 zenon_H1f7 zenon_H1fa zenon_H1fd zenon_H204 zenon_H206 zenon_H209 zenon_H1a9 zenon_H17 zenon_H1e zenon_H25 zenon_H1a0 zenon_H19d zenon_H246 zenon_H192 zenon_H18e zenon_H18a zenon_H16c zenon_H172 zenon_H179 zenon_H180 zenon_H186 zenon_H14b zenon_H154 zenon_H155 zenon_H15 zenon_H15a zenon_H15f zenon_Hac zenon_H33 zenon_H8d zenon_H31 zenon_Ha5 zenon_H9f zenon_H98 zenon_H3b zenon_H93 zenon_Haa.
% 54.96/55.11 apply (zenon_or_s _ _ zenon_Hbc); [ zenon_intro zenon_Hab | zenon_intro zenon_Hbd ].
% 54.96/55.11 apply (zenon_L29_); trivial.
% 54.96/55.11 apply (zenon_or_s _ _ zenon_Haa); [ zenon_intro zenon_Had | zenon_intro zenon_Ha6 ].
% 54.96/55.11 apply (zenon_or_s _ _ zenon_H36e); [ zenon_intro zenon_H244 | zenon_intro zenon_H36f ].
% 54.96/55.11 apply (zenon_L126_); trivial.
% 54.96/55.11 apply (zenon_or_s _ _ zenon_H36f); [ zenon_intro zenon_H371 | zenon_intro zenon_H370 ].
% 54.96/55.11 apply (zenon_and_s _ _ zenon_H371). zenon_intro zenon_H292. zenon_intro zenon_H372.
% 54.96/55.11 apply (zenon_and_s _ _ zenon_H372). zenon_intro zenon_H2a6. zenon_intro zenon_H373.
% 54.96/55.11 apply (zenon_and_s _ _ zenon_H373). zenon_intro zenon_H375. zenon_intro zenon_H374.
% 54.96/55.11 apply (zenon_and_s _ _ zenon_H374). zenon_intro zenon_H29e. zenon_intro zenon_H376.
% 54.96/55.11 apply (zenon_and_s _ _ zenon_H376). zenon_intro zenon_H378. zenon_intro zenon_H377.
% 54.96/55.11 apply (zenon_and_s _ _ zenon_H377). zenon_intro zenon_H37a. zenon_intro zenon_H379.
% 54.96/55.11 apply (zenon_and_s _ _ zenon_H379). zenon_intro zenon_H37c. zenon_intro zenon_H37b.
% 54.96/55.11 apply (zenon_or_s _ _ zenon_H37a); [ zenon_intro zenon_H473 | zenon_intro zenon_H1a7 ].
% 54.96/55.11 apply (zenon_or_s _ _ zenon_H37c); [ zenon_intro zenon_H23f | zenon_intro zenon_H202 ].
% 54.96/55.11 apply (zenon_or_s _ _ zenon_H37b); [ zenon_intro zenon_H20d | zenon_intro zenon_H1c3 ].
% 54.96/55.11 apply (zenon_or_s _ _ zenon_H245); [ zenon_intro zenon_H147 | zenon_intro zenon_H254 ].
% 54.96/55.11 apply (zenon_L60_); trivial.
% 54.96/55.11 apply (zenon_or_s _ _ zenon_H254); [ zenon_intro zenon_H164 | zenon_intro zenon_H255 ].
% 54.96/55.11 apply (zenon_L66_); trivial.
% 54.96/55.11 apply (zenon_or_s _ _ zenon_H255); [ zenon_intro zenon_H197 | zenon_intro zenon_H256 ].
% 54.96/55.11 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_H18f. zenon_intro zenon_H198.
% 54.96/55.11 apply (zenon_and_s _ _ zenon_H198). zenon_intro zenon_H293. zenon_intro zenon_H227.
% 54.96/55.11 apply (zenon_and_s _ _ zenon_H227). zenon_intro zenon_H229. zenon_intro zenon_H228.
% 54.96/55.11 apply (zenon_and_s _ _ zenon_H228). zenon_intro zenon_H22b. zenon_intro zenon_H22a.
% 54.96/55.11 apply (zenon_and_s _ _ zenon_H22a). zenon_intro zenon_H224. zenon_intro zenon_H22c.
% 54.96/55.11 apply (zenon_or_s _ _ zenon_H224); [ zenon_intro zenon_H1d1 | zenon_intro zenon_H1d1 ].
% 54.96/55.11 apply (zenon_L713_); trivial.
% 54.96/55.11 apply (zenon_L713_); trivial.
% 54.96/55.11 apply (zenon_or_s _ _ zenon_H256); [ zenon_intro zenon_H199 | zenon_intro zenon_H257 ].
% 54.96/55.11 apply (zenon_L77_); trivial.
% 54.96/55.11 apply (zenon_or_s _ _ zenon_H257); [ zenon_intro zenon_H259 | zenon_intro zenon_H258 ].
% 54.96/55.11 apply (zenon_L693_); trivial.
% 54.96/55.11 apply (zenon_or_s _ _ zenon_H258); [ zenon_intro zenon_H1a5 | zenon_intro zenon_H262 ].
% 54.96/55.11 apply (zenon_L80_); trivial.
% 54.96/55.11 apply (zenon_or_s _ _ zenon_H262); [ zenon_intro zenon_H1ae | zenon_intro zenon_H263 ].
% 54.96/55.11 apply (zenon_L83_); trivial.
% 54.96/55.11 apply (zenon_or_s _ _ zenon_H263); [ zenon_intro zenon_H212 | zenon_intro zenon_H264 ].
% 54.96/55.11 apply (zenon_L161_); trivial.
% 54.96/55.11 apply (zenon_or_s _ _ zenon_H264); [ zenon_intro zenon_H220 | zenon_intro zenon_H265 ].
% 54.96/55.11 apply (zenon_L110_); trivial.
% 54.96/55.11 apply (zenon_or_s _ _ zenon_H265); [ zenon_intro zenon_H222 | zenon_intro zenon_H266 ].
% 54.96/55.11 apply (zenon_L111_); trivial.
% 54.96/55.11 apply (zenon_or_s _ _ zenon_H266); [ zenon_intro zenon_H225 | zenon_intro zenon_H267 ].
% 54.96/55.11 apply (zenon_L113_); trivial.
% 54.96/55.11 apply (zenon_or_s _ _ zenon_H267); [ zenon_intro zenon_H22d | zenon_intro zenon_H268 ].
% 54.96/55.11 apply (zenon_L114_); trivial.
% 54.96/55.11 apply (zenon_or_s _ _ zenon_H268); [ zenon_intro zenon_H230 | zenon_intro zenon_H269 ].
% 54.96/55.11 apply (zenon_L115_); trivial.
% 54.96/55.11 apply (zenon_or_s _ _ zenon_H269); [ zenon_intro zenon_H232 | zenon_intro zenon_H26a ].
% 54.96/55.11 apply (zenon_L116_); trivial.
% 54.96/55.11 apply (zenon_or_s _ _ zenon_H26a); [ zenon_intro zenon_H240 | zenon_intro zenon_H242 ].
% 54.96/55.11 apply (zenon_L166_); trivial.
% 54.96/55.11 apply (zenon_L125_); trivial.
% 54.96/55.11 apply (zenon_L695_); trivial.
% 54.96/55.11 apply (zenon_or_s _ _ zenon_H245); [ zenon_intro zenon_H147 | zenon_intro zenon_H254 ].
% 54.96/55.11 apply (zenon_L60_); trivial.
% 54.96/55.11 apply (zenon_or_s _ _ zenon_H254); [ zenon_intro zenon_H164 | zenon_intro zenon_H255 ].
% 54.96/55.11 apply (zenon_L66_); trivial.
% 54.96/55.11 apply (zenon_or_s _ _ zenon_H255); [ zenon_intro zenon_H197 | zenon_intro zenon_H256 ].
% 54.96/55.11 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_H18f. zenon_intro zenon_H198.
% 54.96/55.11 apply (zenon_and_s _ _ zenon_H198). zenon_intro zenon_H293. zenon_intro zenon_H227.
% 54.96/55.11 apply (zenon_and_s _ _ zenon_H227). zenon_intro zenon_H229. zenon_intro zenon_H228.
% 54.96/55.11 apply (zenon_and_s _ _ zenon_H228). zenon_intro zenon_H22b. zenon_intro zenon_H22a.
% 54.96/55.11 apply (zenon_and_s _ _ zenon_H22a). zenon_intro zenon_H224. zenon_intro zenon_H22c.
% 54.96/55.11 apply (zenon_or_s _ _ zenon_H22b); [ zenon_intro zenon_H23c | zenon_intro zenon_H23f ].
% 54.96/55.11 exact (zenon_H23c zenon_H202).
% 54.96/55.11 apply (zenon_or_s _ _ zenon_H224); [ zenon_intro zenon_H1d1 | zenon_intro zenon_H1d1 ].
% 54.96/55.11 apply (zenon_L720_); trivial.
% 54.96/55.11 apply (zenon_L720_); trivial.
% 54.96/55.11 apply (zenon_or_s _ _ zenon_H256); [ zenon_intro zenon_H199 | zenon_intro zenon_H257 ].
% 54.96/55.11 apply (zenon_L77_); trivial.
% 54.96/55.11 apply (zenon_or_s _ _ zenon_H257); [ zenon_intro zenon_H259 | zenon_intro zenon_H258 ].
% 54.96/55.11 apply (zenon_L700_); trivial.
% 54.96/55.11 apply (zenon_or_s _ _ zenon_H258); [ zenon_intro zenon_H1a5 | zenon_intro zenon_H262 ].
% 54.96/55.11 apply (zenon_L80_); trivial.
% 54.96/55.11 apply (zenon_or_s _ _ zenon_H262); [ zenon_intro zenon_H1ae | zenon_intro zenon_H263 ].
% 54.96/55.11 apply (zenon_L83_); trivial.
% 54.96/55.11 apply (zenon_or_s _ _ zenon_H263); [ zenon_intro zenon_H212 | zenon_intro zenon_H264 ].
% 54.96/55.11 apply (zenon_L169_); trivial.
% 54.96/55.11 apply (zenon_or_s _ _ zenon_H264); [ zenon_intro zenon_H220 | zenon_intro zenon_H265 ].
% 54.96/55.11 apply (zenon_L110_); trivial.
% 54.96/55.11 apply (zenon_or_s _ _ zenon_H265); [ zenon_intro zenon_H222 | zenon_intro zenon_H266 ].
% 54.96/55.11 apply (zenon_L111_); trivial.
% 54.96/55.11 apply (zenon_or_s _ _ zenon_H266); [ zenon_intro zenon_H225 | zenon_intro zenon_H267 ].
% 54.96/55.11 apply (zenon_L113_); trivial.
% 54.96/55.11 apply (zenon_or_s _ _ zenon_H267); [ zenon_intro zenon_H22d | zenon_intro zenon_H268 ].
% 54.96/55.11 apply (zenon_L114_); trivial.
% 54.96/55.11 apply (zenon_or_s _ _ zenon_H268); [ zenon_intro zenon_H230 | zenon_intro zenon_H269 ].
% 54.96/55.11 apply (zenon_L115_); trivial.
% 54.96/55.11 apply (zenon_or_s _ _ zenon_H269); [ zenon_intro zenon_H232 | zenon_intro zenon_H26a ].
% 54.96/55.11 apply (zenon_L116_); trivial.
% 54.96/55.11 apply (zenon_or_s _ _ zenon_H26a); [ zenon_intro zenon_H240 | zenon_intro zenon_H242 ].
% 54.96/55.11 apply (zenon_L166_); trivial.
% 54.96/55.11 apply (zenon_L125_); trivial.
% 54.96/55.11 apply (zenon_L532_); trivial.
% 54.96/55.11 apply (zenon_or_s _ _ zenon_H370); [ zenon_intro zenon_H335 | zenon_intro zenon_H363 ].
% 54.96/55.11 apply (zenon_L260_); trivial.
% 54.96/55.11 apply (zenon_L307_); trivial.
% 54.96/55.11 apply (zenon_L28_); trivial.
% 54.96/55.11 (* end of lemma zenon_L721_ *)
% 54.96/55.11 assert (zenon_L722_ : ((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13)))) -> (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> (~((op2 (e22) (e23)) = (e22))) -> (~((op2 (e22) (e22)) = (e22))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> ((e20) = (op2 (e21) (e21))) -> ((e23) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((e22) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> (((op2 (e21) (e20)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/((op2 (e21) (e23)) = (e23))))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> ((op1 (e11) (op1 (e11) (e10))) = (e10)) -> ((op1 (e12) (e10)) = (e10)) -> ((op1 (e10) (e12)) = (e10)) -> (~((op1 (e12) (e12)) = (e11))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> ((op1 (e11) (op1 (e11) (e12))) = (e12)) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> ((h2 (e11)) = (e21)) -> ((h2 (e13)) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> (~((h2 (op1 (e11) (e13))) = (op2 (h2 (e11)) (h2 (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((e12) = (e13))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> ((op1 (e11) (op1 (e11) (e13))) = (e13)) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e12) (e12)) = (e12))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e11)) = (e12))\/((op1 (e10) (e11)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> ((e10) = (op1 (e11) (e11))) -> ((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) -> ((e12) = (op1 (op1 (op1 (e11) (e11)) (op1 (e11) (e11))) (op1 (e11) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e11) (e11)) = (e11))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e12))\/((op1 (e11) (e10)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> ((op1 (e11) (op1 (e11) (e11))) = (e11)) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> ((op2 (e23) (e21)) = (e23)) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> ((((op1 (e10) (e10)) = (e10))/\(((op1 (e10) (e10)) = (e10))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11))))/\(((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12))))/\((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))))))))\/((((op1 (e10) (e11)) = (e10))/\(((op1 (e11) (e10)) = (e10))/\(((~((op1 (e11) (e10)) = (e11)))\/(~((op1 (e11) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e11) (e12)) = (e11)))\/(~((op1 (e11) (e11)) = (e12))))/\((~((op1 (e11) (e13)) = (e11)))\/(~((op1 (e11) (e11)) = (e13)))))))))\/((((op1 (e10) (e12)) = (e10))/\(((op1 (e12) (e10)) = (e10))/\(((~((op1 (e12) (e10)) = (e12)))\/(~((op1 (e12) (e12)) = (e10))))/\(((~((op1 (e12) (e11)) = (e12)))\/(~((op1 (e12) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13)))))))))\/((((op1 (e10) (e13)) = (e10))/\(((op1 (e13) (e10)) = (e10))/\(((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e13) (e13)) = (e10))))/\(((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11))))/\(((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e13) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13)))))))))\/((((op1 (e11) (e10)) = (e11))/\(((op1 (e10) (e11)) = (e11))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11))))/\(((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12))))/\((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))))))))\/((((op1 (e11) (e11)) = (e11))/\(((op1 (e11) (e11)) = (e11))/\(((~((op1 (e11) (e10)) = (e11)))\/(~((op1 (e11) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e11) (e12)) = (e11)))\/(~((op1 (e11) (e11)) = (e12))))/\((~((op1 (e11) (e13)) = (e11)))\/(~((op1 (e11) (e11)) = (e13)))))))))\/((((op1 (e11) (e12)) = (e11))/\(((op1 (e12) (e11)) = (e11))/\(((~((op1 (e12) (e10)) = (e12)))\/(~((op1 (e12) (e12)) = (e10))))/\(((~((op1 (e12) (e11)) = (e12)))\/(~((op1 (e12) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13)))))))))\/((((op1 (e11) (e13)) = (e11))/\(((op1 (e13) (e11)) = (e11))/\(((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e13) (e13)) = (e10))))/\(((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11))))/\(((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e13) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13)))))))))\/((((op1 (e12) (e10)) = (e12))/\(((op1 (e10) (e12)) = (e12))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11))))/\(((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12))))/\((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))))))))\/((((op1 (e12) (e11)) = (e12))/\(((op1 (e11) (e12)) = (e12))/\(((~((op1 (e11) (e10)) = (e11)))\/(~((op1 (e11) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e11) (e12)) = (e11)))\/(~((op1 (e11) (e11)) = (e12))))/\((~((op1 (e11) (e13)) = (e11)))\/(~((op1 (e11) (e11)) = (e13)))))))))\/((((op1 (e12) (e12)) = (e12))/\(((op1 (e12) (e12)) = (e12))/\(((~((op1 (e12) (e10)) = (e12)))\/(~((op1 (e12) (e12)) = (e10))))/\(((~((op1 (e12) (e11)) = (e12)))\/(~((op1 (e12) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13)))))))))\/((((op1 (e12) (e13)) = (e12))/\(((op1 (e13) (e12)) = (e12))/\(((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e13) (e13)) = (e10))))/\(((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11))))/\(((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e13) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13)))))))))\/((((op1 (e13) (e10)) = (e13))/\(((op1 (e10) (e13)) = (e13))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11))))/\(((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12))))/\((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))))))))\/((((op1 (e13) (e11)) = (e13))/\(((op1 (e11) (e13)) = (e13))/\(((~((op1 (e11) (e10)) = (e11)))\/(~((op1 (e11) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e11) (e12)) = (e11)))\/(~((op1 (e11) (e11)) = (e12))))/\((~((op1 (e11) (e13)) = (e11)))\/(~((op1 (e11) (e11)) = (e13)))))))))\/((((op1 (e13) (e12)) = (e13))/\(((op1 (e12) (e13)) = (e13))/\(((~((op1 (e12) (e10)) = (e12)))\/(~((op1 (e12) (e12)) = (e10))))/\(((~((op1 (e12) (e11)) = (e12)))\/(~((op1 (e12) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13)))))))))\/(((op1 (e13) (e13)) = (e13))/\(((op1 (e13) (e13)) = (e13))/\(((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e13) (e13)) = (e10))))/\(((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11))))/\(((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e13) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13)))))))))))))))))))))))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e13) (e13)) = (e10))\/(((op1 (e13) (e13)) = (e11))\/(((op1 (e13) (e13)) = (e12))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e13) (e13)) = (e11))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e10)) = (e12))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e13) (e10)) = (e12))))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> (~((e10) = (e12))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e20) (e21)) = (e23))\/(((op2 (e20) (e22)) = (e23))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e22)))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op2 (e21) (e22)) = (op2 (e21) (e23)))) -> ((op2 (e21) (op2 (e21) (e23))) = (e23)) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> ((op2 (e21) (op2 (e21) (e22))) = (e22)) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (((op2 (e22) (e22)) = (e20))\/(((op2 (e22) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e22)) = (e23))))) -> (~((op2 (e22) (e22)) = (e21))) -> ((op2 (e22) (e20)) = (e20)) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> (~((e22) = (e23))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e21)) = (e22))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e20)) = (op2 (e23) (e20)))) -> (((op2 (e22) (e20)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e22) (e23)) = (e23))))) -> (~((op2 (e21) (e21)) = (e21))) -> (~((e21) = (e22))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> (((op2 (e20) (e21)) = (e20))\/(((op2 (e20) (e21)) = (e21))\/(((op2 (e20) (e21)) = (e22))\/((op2 (e20) (e21)) = (e23))))) -> (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> (((op2 (e20) (e21)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e23) (e21)) = (e22))))) -> False).
% 54.96/55.11 do 0 intro. intros zenon_H22c zenon_Hf1 zenon_H281 zenon_Hd7 zenon_H286 zenon_H33 zenon_H3b zenon_H3f zenon_Hb0 zenon_H399 zenon_H437 zenon_H9f zenon_H1a0 zenon_H1e zenon_H1fa zenon_H1de zenon_H292 zenon_H293 zenon_H18f zenon_H23f zenon_H1da zenon_H32e zenon_H1ed zenon_H375 zenon_H209 zenon_H21a zenon_H2c2 zenon_H270 zenon_H461 zenon_H4b1 zenon_H358 zenon_H2ad zenon_H236 zenon_H32b zenon_H19d zenon_H316 zenon_H360 zenon_H1cc zenon_H18a zenon_H1fd zenon_H172 zenon_H29e zenon_H2f8 zenon_H301 zenon_H23b zenon_H1d1 zenon_H204 zenon_H179 zenon_H180 zenon_H186 zenon_H17 zenon_H206 zenon_H2b9 zenon_H30e zenon_H25 zenon_H2e7 zenon_H15a zenon_H13 zenon_H15 zenon_H155 zenon_H154 zenon_H473 zenon_H15f zenon_H1a9 zenon_H14b zenon_H1be zenon_H1d8 zenon_H2a3 zenon_H2a5 zenon_H2a6 zenon_H2b1 zenon_H1b1 zenon_H313 zenon_H474 zenon_H116 zenon_H3af zenon_He8 zenon_H3b4 zenon_H45 zenon_H245 zenon_H2c0 zenon_H20c zenon_H20d zenon_H246 zenon_H4c3 zenon_H18e zenon_H2c9 zenon_H328 zenon_H485 zenon_H1f4 zenon_H4c2 zenon_H16c zenon_Ha5 zenon_H98 zenon_H47e zenon_H6e zenon_H47a zenon_H395 zenon_H47c zenon_H481 zenon_H3a8 zenon_H100 zenon_H101 zenon_H121 zenon_H37d zenon_H11f zenon_Hec zenon_H3b7 zenon_H39d zenon_H282 zenon_H60 zenon_H3b1 zenon_Hfc zenon_H55 zenon_H3f1 zenon_H28d zenon_H27e zenon_H8d zenon_H93 zenon_H289 zenon_H28c zenon_H3fd.
% 54.96/55.11 apply (zenon_or_s _ _ zenon_H22c); [ zenon_intro zenon_H27d | zenon_intro zenon_H29d ].
% 54.96/55.11 apply (zenon_or_s _ _ zenon_H3fd); [ zenon_intro zenon_H285 | zenon_intro zenon_H3ff ].
% 54.96/55.11 apply (zenon_L572_); trivial.
% 54.96/55.11 apply (zenon_or_s _ _ zenon_H3ff); [ zenon_intro zenon_H401 | zenon_intro zenon_H400 ].
% 54.96/55.11 apply (zenon_or_s _ _ zenon_H399); [ zenon_intro zenon_H44 | zenon_intro zenon_H39a ].
% 54.96/55.11 apply (zenon_L10_); trivial.
% 54.96/55.11 apply (zenon_or_s _ _ zenon_H39a); [ zenon_intro zenon_H388 | zenon_intro zenon_H39b ].
% 54.96/55.11 apply (zenon_L620_); trivial.
% 54.96/55.11 apply (zenon_or_s _ _ zenon_H39b); [ zenon_intro zenon_H38e | zenon_intro zenon_He9 ].
% 54.96/55.11 apply (zenon_L449_); trivial.
% 54.96/55.11 apply (zenon_L619_); trivial.
% 54.96/55.11 apply (zenon_or_s _ _ zenon_H400); [ zenon_intro zenon_Hd3 | zenon_intro zenon_H5f ].
% 54.96/55.11 apply (zenon_L688_); trivial.
% 54.96/55.11 apply (zenon_L15_); trivial.
% 54.96/55.11 apply (zenon_L144_); trivial.
% 54.96/55.11 (* end of lemma zenon_L722_ *)
% 54.96/55.11 assert (zenon_L723_ : ((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13)))) -> (((op2 (e20) (e21)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e23) (e21)) = (e22))))) -> (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> (((op2 (e20) (e21)) = (e20))\/(((op2 (e20) (e21)) = (e21))\/(((op2 (e20) (e21)) = (e22))\/((op2 (e20) (e21)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> (~((e21) = (e22))) -> (~((op2 (e21) (e21)) = (e21))) -> ((op2 (e23) (e21)) = (e23)) -> (((op2 (e22) (e20)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e22) (e23)) = (e23))))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> ((op2 (e22) (e20)) = (e20)) -> (~((op2 (e22) (e22)) = (e21))) -> (((op2 (e22) (e22)) = (e20))\/(((op2 (e22) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e22)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> ((op2 (e21) (op2 (e21) (e22))) = (e22)) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> ((op2 (e21) (op2 (e21) (e23))) = (e23)) -> (~((op2 (e21) (e22)) = (op2 (e21) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((e22) = (e23))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e22)))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e20) (e21)) = (e23))\/(((op2 (e20) (e22)) = (e23))\/((op2 (e20) (e23)) = (e23))))) -> (~((e10) = (e12))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e10)) = (e12))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e13) (e10)) = (e12))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> ((((op1 (e10) (e10)) = (e10))/\(((op1 (e10) (e10)) = (e10))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11))))/\(((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12))))/\((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))))))))\/((((op1 (e10) (e11)) = (e10))/\(((op1 (e11) (e10)) = (e10))/\(((~((op1 (e11) (e10)) = (e11)))\/(~((op1 (e11) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e11) (e12)) = (e11)))\/(~((op1 (e11) (e11)) = (e12))))/\((~((op1 (e11) (e13)) = (e11)))\/(~((op1 (e11) (e11)) = (e13)))))))))\/((((op1 (e10) (e12)) = (e10))/\(((op1 (e12) (e10)) = (e10))/\(((~((op1 (e12) (e10)) = (e12)))\/(~((op1 (e12) (e12)) = (e10))))/\(((~((op1 (e12) (e11)) = (e12)))\/(~((op1 (e12) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13)))))))))\/((((op1 (e10) (e13)) = (e10))/\(((op1 (e13) (e10)) = (e10))/\(((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e13) (e13)) = (e10))))/\(((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11))))/\(((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e13) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13)))))))))\/((((op1 (e11) (e10)) = (e11))/\(((op1 (e10) (e11)) = (e11))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11))))/\(((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12))))/\((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))))))))\/((((op1 (e11) (e11)) = (e11))/\(((op1 (e11) (e11)) = (e11))/\(((~((op1 (e11) (e10)) = (e11)))\/(~((op1 (e11) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e11) (e12)) = (e11)))\/(~((op1 (e11) (e11)) = (e12))))/\((~((op1 (e11) (e13)) = (e11)))\/(~((op1 (e11) (e11)) = (e13)))))))))\/((((op1 (e11) (e12)) = (e11))/\(((op1 (e12) (e11)) = (e11))/\(((~((op1 (e12) (e10)) = (e12)))\/(~((op1 (e12) (e12)) = (e10))))/\(((~((op1 (e12) (e11)) = (e12)))\/(~((op1 (e12) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13)))))))))\/((((op1 (e11) (e13)) = (e11))/\(((op1 (e13) (e11)) = (e11))/\(((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e13) (e13)) = (e10))))/\(((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11))))/\(((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e13) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13)))))))))\/((((op1 (e12) (e10)) = (e12))/\(((op1 (e10) (e12)) = (e12))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11))))/\(((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12))))/\((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))))))))\/((((op1 (e12) (e11)) = (e12))/\(((op1 (e11) (e12)) = (e12))/\(((~((op1 (e11) (e10)) = (e11)))\/(~((op1 (e11) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e11) (e12)) = (e11)))\/(~((op1 (e11) (e11)) = (e12))))/\((~((op1 (e11) (e13)) = (e11)))\/(~((op1 (e11) (e11)) = (e13)))))))))\/((((op1 (e12) (e12)) = (e12))/\(((op1 (e12) (e12)) = (e12))/\(((~((op1 (e12) (e10)) = (e12)))\/(~((op1 (e12) (e12)) = (e10))))/\(((~((op1 (e12) (e11)) = (e12)))\/(~((op1 (e12) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13)))))))))\/((((op1 (e12) (e13)) = (e12))/\(((op1 (e13) (e12)) = (e12))/\(((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e13) (e13)) = (e10))))/\(((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11))))/\(((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e13) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13)))))))))\/((((op1 (e13) (e10)) = (e13))/\(((op1 (e10) (e13)) = (e13))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11))))/\(((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12))))/\((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))))))))\/((((op1 (e13) (e11)) = (e13))/\(((op1 (e11) (e13)) = (e13))/\(((~((op1 (e11) (e10)) = (e11)))\/(~((op1 (e11) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e11) (e12)) = (e11)))\/(~((op1 (e11) (e11)) = (e12))))/\((~((op1 (e11) (e13)) = (e11)))\/(~((op1 (e11) (e11)) = (e13)))))))))\/((((op1 (e13) (e12)) = (e13))/\(((op1 (e12) (e13)) = (e13))/\(((~((op1 (e12) (e10)) = (e12)))\/(~((op1 (e12) (e12)) = (e10))))/\(((~((op1 (e12) (e11)) = (e12)))\/(~((op1 (e12) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13)))))))))\/(((op1 (e13) (e13)) = (e13))/\(((op1 (e13) (e13)) = (e13))/\(((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e13) (e13)) = (e10))))/\(((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11))))/\(((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e13) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13)))))))))))))))))))))))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e21)) = (e22))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> ((op1 (e11) (op1 (e11) (e10))) = (e10)) -> ((op1 (e12) (e10)) = (e10)) -> ((op1 (e10) (e12)) = (e10)) -> (~((op1 (e12) (e12)) = (e11))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> ((op1 (e11) (op1 (e11) (e12))) = (e12)) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> ((h2 (e11)) = (e21)) -> ((h2 (e13)) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> (~((h2 (op1 (e11) (e13))) = (op2 (h2 (e11)) (h2 (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((e12) = (e13))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> ((op1 (e11) (op1 (e11) (e13))) = (e13)) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e12) (e12)) = (e12))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e11)) = (e12))\/((op1 (e10) (e11)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> ((e10) = (op1 (e11) (e11))) -> ((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) -> ((e12) = (op1 (op1 (op1 (e11) (e11)) (op1 (e11) (e11))) (op1 (e11) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e11) (e11)) = (e11))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e12))\/((op1 (e11) (e10)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> ((op1 (e13) (e11)) = (e13)) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> ((op1 (e11) (op1 (e11) (e11))) = (e11)) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (((op2 (e21) (e20)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/((op2 (e21) (e23)) = (e23))))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> ((e22) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> ((e23) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((e20) = (op2 (e21) (e21))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (~((op2 (e22) (e22)) = (e22))) -> (~((op2 (e22) (e23)) = (e22))) -> (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> False).
% 54.96/55.11 do 0 intro. intros zenon_H22c zenon_H3fd zenon_H28c zenon_H289 zenon_H93 zenon_H8d zenon_H27e zenon_H28d zenon_He8 zenon_H3f1 zenon_H37d zenon_H121 zenon_H101 zenon_H100 zenon_H3a8 zenon_H481 zenon_H47c zenon_H395 zenon_H47a zenon_H6e zenon_H47e zenon_Hec zenon_H11f zenon_H98 zenon_Ha5 zenon_H16c zenon_H4c2 zenon_H1f4 zenon_H485 zenon_H328 zenon_H2c9 zenon_H18e zenon_H4c3 zenon_H246 zenon_H2c0 zenon_H245 zenon_H45 zenon_H3b4 zenon_H39d zenon_H282 zenon_H60 zenon_H3af zenon_H3b1 zenon_H116 zenon_H1fa zenon_H1de zenon_H292 zenon_H293 zenon_H18f zenon_H23f zenon_H1da zenon_H32e zenon_H1ed zenon_H375 zenon_H209 zenon_H21a zenon_H2c2 zenon_H270 zenon_H461 zenon_H4b1 zenon_H358 zenon_H2ad zenon_H236 zenon_H32b zenon_H19d zenon_H316 zenon_H360 zenon_H1cc zenon_H18a zenon_H1fd zenon_H172 zenon_H29e zenon_H2f8 zenon_H301 zenon_H23b zenon_H1d1 zenon_H204 zenon_H179 zenon_H180 zenon_H186 zenon_H17 zenon_H206 zenon_H2b9 zenon_H30e zenon_H25 zenon_H2e7 zenon_H15a zenon_H13 zenon_H15 zenon_H155 zenon_H154 zenon_H473 zenon_H15f zenon_H1a9 zenon_H14b zenon_H1c3 zenon_H474 zenon_H9f zenon_H437 zenon_H1a0 zenon_H1e zenon_H1be zenon_H1d8 zenon_H2a3 zenon_H2a5 zenon_H2a6 zenon_H2b1 zenon_H1b1 zenon_H313 zenon_H399 zenon_Hb0 zenon_H3f zenon_H3b zenon_H33 zenon_H286 zenon_Hd7 zenon_H281 zenon_Hf1.
% 54.96/55.11 apply (zenon_or_s _ _ zenon_H22c); [ zenon_intro zenon_H27d | zenon_intro zenon_H29d ].
% 54.96/55.11 apply (zenon_or_s _ _ zenon_H28c); [ zenon_intro zenon_Hb9 | zenon_intro zenon_H28e ].
% 54.96/55.11 apply (zenon_or_s _ _ zenon_H3fd); [ zenon_intro zenon_H285 | zenon_intro zenon_H3ff ].
% 54.96/55.11 apply (zenon_L572_); trivial.
% 54.96/55.11 apply (zenon_or_s _ _ zenon_H3ff); [ zenon_intro zenon_H401 | zenon_intro zenon_H400 ].
% 54.96/55.11 apply (zenon_L650_); trivial.
% 54.96/55.11 apply (zenon_or_s _ _ zenon_H400); [ zenon_intro zenon_Hd3 | zenon_intro zenon_H5f ].
% 54.96/55.11 apply (zenon_L704_); trivial.
% 54.96/55.12 apply (zenon_L15_); trivial.
% 54.96/55.12 apply (zenon_or_s _ _ zenon_H28e); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H28f ].
% 54.96/55.12 exact (zenon_H28d zenon_Hc3).
% 54.96/55.12 apply (zenon_or_s _ _ zenon_H28f); [ zenon_intro zenon_H27f | zenon_intro zenon_H283 ].
% 54.96/55.12 apply (zenon_L134_); trivial.
% 54.96/55.12 apply (zenon_L138_); trivial.
% 54.96/55.12 apply (zenon_L144_); trivial.
% 54.96/55.12 (* end of lemma zenon_L723_ *)
% 54.96/55.12 assert (zenon_L724_ : ((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13)))) -> (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> (~((op2 (e22) (e23)) = (e22))) -> (~((op2 (e22) (e22)) = (e22))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> ((e20) = (op2 (e21) (e21))) -> ((e23) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((e22) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> (((op2 (e21) (e20)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/((op2 (e21) (e23)) = (e23))))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> ((op1 (e11) (op1 (e11) (e10))) = (e10)) -> ((op1 (e12) (e10)) = (e10)) -> ((op1 (e10) (e12)) = (e10)) -> (~((op1 (e12) (e12)) = (e11))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> ((op1 (e11) (op1 (e11) (e12))) = (e12)) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e11)) = (e12))\/((op1 (e10) (e11)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e12) (e12)) = (e12))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> ((op1 (e11) (op1 (e11) (e13))) = (e13)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> ((op1 (e12) (e11)) = (e12)) -> (~((e12) = (e13))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((h2 (op1 (e11) (e13))) = (op2 (h2 (e11)) (h2 (e13))))) -> ((h2 (e13)) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((h2 (e11)) = (e21)) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> ((e10) = (op1 (e11) (e11))) -> ((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) -> ((e12) = (op1 (op1 (op1 (e11) (e11)) (op1 (e11) (e11))) (op1 (e11) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e11) (e11)) = (e11))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e12))\/((op1 (e11) (e10)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> ((op1 (e11) (op1 (e11) (e11))) = (e11)) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> ((op2 (e23) (e21)) = (e23)) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> ((((op1 (e10) (e10)) = (e10))/\(((op1 (e10) (e10)) = (e10))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11))))/\(((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12))))/\((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))))))))\/((((op1 (e10) (e11)) = (e10))/\(((op1 (e11) (e10)) = (e10))/\(((~((op1 (e11) (e10)) = (e11)))\/(~((op1 (e11) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e11) (e12)) = (e11)))\/(~((op1 (e11) (e11)) = (e12))))/\((~((op1 (e11) (e13)) = (e11)))\/(~((op1 (e11) (e11)) = (e13)))))))))\/((((op1 (e10) (e12)) = (e10))/\(((op1 (e12) (e10)) = (e10))/\(((~((op1 (e12) (e10)) = (e12)))\/(~((op1 (e12) (e12)) = (e10))))/\(((~((op1 (e12) (e11)) = (e12)))\/(~((op1 (e12) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13)))))))))\/((((op1 (e10) (e13)) = (e10))/\(((op1 (e13) (e10)) = (e10))/\(((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e13) (e13)) = (e10))))/\(((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11))))/\(((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e13) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13)))))))))\/((((op1 (e11) (e10)) = (e11))/\(((op1 (e10) (e11)) = (e11))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11))))/\(((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12))))/\((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))))))))\/((((op1 (e11) (e11)) = (e11))/\(((op1 (e11) (e11)) = (e11))/\(((~((op1 (e11) (e10)) = (e11)))\/(~((op1 (e11) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e11) (e12)) = (e11)))\/(~((op1 (e11) (e11)) = (e12))))/\((~((op1 (e11) (e13)) = (e11)))\/(~((op1 (e11) (e11)) = (e13)))))))))\/((((op1 (e11) (e12)) = (e11))/\(((op1 (e12) (e11)) = (e11))/\(((~((op1 (e12) (e10)) = (e12)))\/(~((op1 (e12) (e12)) = (e10))))/\(((~((op1 (e12) (e11)) = (e12)))\/(~((op1 (e12) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13)))))))))\/((((op1 (e11) (e13)) = (e11))/\(((op1 (e13) (e11)) = (e11))/\(((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e13) (e13)) = (e10))))/\(((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11))))/\(((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e13) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13)))))))))\/((((op1 (e12) (e10)) = (e12))/\(((op1 (e10) (e12)) = (e12))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11))))/\(((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12))))/\((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))))))))\/((((op1 (e12) (e11)) = (e12))/\(((op1 (e11) (e12)) = (e12))/\(((~((op1 (e11) (e10)) = (e11)))\/(~((op1 (e11) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e11) (e12)) = (e11)))\/(~((op1 (e11) (e11)) = (e12))))/\((~((op1 (e11) (e13)) = (e11)))\/(~((op1 (e11) (e11)) = (e13)))))))))\/((((op1 (e12) (e12)) = (e12))/\(((op1 (e12) (e12)) = (e12))/\(((~((op1 (e12) (e10)) = (e12)))\/(~((op1 (e12) (e12)) = (e10))))/\(((~((op1 (e12) (e11)) = (e12)))\/(~((op1 (e12) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13)))))))))\/((((op1 (e12) (e13)) = (e12))/\(((op1 (e13) (e12)) = (e12))/\(((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e13) (e13)) = (e10))))/\(((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11))))/\(((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e13) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13)))))))))\/((((op1 (e13) (e10)) = (e13))/\(((op1 (e10) (e13)) = (e13))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11))))/\(((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12))))/\((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))))))))\/((((op1 (e13) (e11)) = (e13))/\(((op1 (e11) (e13)) = (e13))/\(((~((op1 (e11) (e10)) = (e11)))\/(~((op1 (e11) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e11) (e12)) = (e11)))\/(~((op1 (e11) (e11)) = (e12))))/\((~((op1 (e11) (e13)) = (e11)))\/(~((op1 (e11) (e11)) = (e13)))))))))\/((((op1 (e13) (e12)) = (e13))/\(((op1 (e12) (e13)) = (e13))/\(((~((op1 (e12) (e10)) = (e12)))\/(~((op1 (e12) (e12)) = (e10))))/\(((~((op1 (e12) (e11)) = (e12)))\/(~((op1 (e12) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13)))))))))\/(((op1 (e13) (e13)) = (e13))/\(((op1 (e13) (e13)) = (e13))/\(((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e13) (e13)) = (e10))))/\(((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11))))/\(((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e13) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13)))))))))))))))))))))))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e13) (e13)) = (e10))\/(((op1 (e13) (e13)) = (e11))\/(((op1 (e13) (e13)) = (e12))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e13) (e13)) = (e11))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e10)) = (e12))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e13) (e10)) = (e12))))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> (~((e10) = (e12))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e20) (e21)) = (e23))\/(((op2 (e20) (e22)) = (e23))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e22)))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op2 (e21) (e22)) = (op2 (e21) (e23)))) -> ((op2 (e21) (op2 (e21) (e23))) = (e23)) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> ((op2 (e21) (op2 (e21) (e22))) = (e22)) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (((op2 (e22) (e22)) = (e20))\/(((op2 (e22) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e22)) = (e23))))) -> (~((op2 (e22) (e22)) = (e21))) -> ((op2 (e22) (e20)) = (e20)) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> (~((e22) = (e23))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e21)) = (e22))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e20)) = (op2 (e23) (e20)))) -> (((op2 (e22) (e20)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e22) (e23)) = (e23))))) -> (~((op2 (e21) (e21)) = (e21))) -> (~((e21) = (e22))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> (((op2 (e20) (e21)) = (e20))\/(((op2 (e20) (e21)) = (e21))\/(((op2 (e20) (e21)) = (e22))\/((op2 (e20) (e21)) = (e23))))) -> (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> (((op2 (e20) (e21)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e23) (e21)) = (e22))))) -> False).
% 54.96/55.12 do 0 intro. intros zenon_H22c zenon_Hf1 zenon_H281 zenon_Hd7 zenon_H286 zenon_H33 zenon_H3b zenon_H3f zenon_Hb0 zenon_H399 zenon_H209 zenon_H437 zenon_H9f zenon_H1a0 zenon_H1e zenon_H1fa zenon_H1de zenon_H292 zenon_H293 zenon_H18f zenon_H23f zenon_H1da zenon_H375 zenon_H1ed zenon_H32e zenon_H15a zenon_H2e7 zenon_H25 zenon_H30e zenon_H2b9 zenon_H206 zenon_H17 zenon_H21a zenon_H186 zenon_H180 zenon_H179 zenon_H204 zenon_H1d1 zenon_H23b zenon_H301 zenon_H2f8 zenon_H29e zenon_H172 zenon_H1fd zenon_H18a zenon_H1cc zenon_H360 zenon_H316 zenon_H19d zenon_H32b zenon_H202 zenon_H236 zenon_H2ad zenon_H358 zenon_H4b1 zenon_H461 zenon_H270 zenon_H2c2 zenon_H13 zenon_H15 zenon_H155 zenon_H154 zenon_H473 zenon_H15f zenon_H1a9 zenon_H14b zenon_H1be zenon_H1d8 zenon_H2a3 zenon_H2a5 zenon_H2a6 zenon_H2b1 zenon_H1b1 zenon_H313 zenon_H474 zenon_H116 zenon_H3af zenon_He8 zenon_H3b4 zenon_H45 zenon_H245 zenon_H2c0 zenon_H20c zenon_H20d zenon_H246 zenon_H4c3 zenon_H18e zenon_H2c9 zenon_H328 zenon_H485 zenon_H1f4 zenon_H4c2 zenon_H16c zenon_Ha5 zenon_H98 zenon_H47e zenon_H6e zenon_H47a zenon_H395 zenon_H47c zenon_H481 zenon_H3a8 zenon_H100 zenon_H101 zenon_H121 zenon_H37d zenon_H11f zenon_Hec zenon_H3b7 zenon_H39d zenon_H282 zenon_H60 zenon_H3b1 zenon_Hfc zenon_H55 zenon_H3f1 zenon_H28d zenon_H27e zenon_H8d zenon_H93 zenon_H289 zenon_H28c zenon_H3fd.
% 54.96/55.12 apply (zenon_or_s _ _ zenon_H22c); [ zenon_intro zenon_H27d | zenon_intro zenon_H29d ].
% 54.96/55.12 apply (zenon_or_s _ _ zenon_H3fd); [ zenon_intro zenon_H285 | zenon_intro zenon_H3ff ].
% 54.96/55.12 apply (zenon_L572_); trivial.
% 54.96/55.12 apply (zenon_or_s _ _ zenon_H3ff); [ zenon_intro zenon_H401 | zenon_intro zenon_H400 ].
% 54.96/55.12 apply (zenon_or_s _ _ zenon_H399); [ zenon_intro zenon_H44 | zenon_intro zenon_H39a ].
% 54.96/55.12 apply (zenon_L10_); trivial.
% 54.96/55.12 apply (zenon_or_s _ _ zenon_H39a); [ zenon_intro zenon_H388 | zenon_intro zenon_H39b ].
% 54.96/55.12 apply (zenon_L696_); trivial.
% 54.96/55.12 apply (zenon_or_s _ _ zenon_H39b); [ zenon_intro zenon_H38e | zenon_intro zenon_He9 ].
% 54.96/55.12 apply (zenon_L449_); trivial.
% 54.96/55.12 apply (zenon_L619_); trivial.
% 54.96/55.12 apply (zenon_or_s _ _ zenon_H400); [ zenon_intro zenon_Hd3 | zenon_intro zenon_H5f ].
% 54.96/55.12 apply (zenon_L688_); trivial.
% 54.96/55.12 apply (zenon_L15_); trivial.
% 54.96/55.12 apply (zenon_L144_); trivial.
% 54.96/55.12 (* end of lemma zenon_L724_ *)
% 54.96/55.12 assert (zenon_L725_ : (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e12)) = (e12))) -> (~((op1 (e12) (e12)) = (e11))) -> ((op1 (e10) (e12)) = (e10)) -> ((op1 (e12) (e10)) = (e10)) -> ((op1 (e11) (op1 (e11) (e10))) = (e10)) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e11)) = (e12))\/((op1 (e10) (e11)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e11) (e11)) = (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 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> ((op1 (e12) (e11)) = (e12)) -> (~((e12) = (e13))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> ((op1 (e11) (op1 (e11) (e12))) = (e12)) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (~((op1 (e12) (e13)) = (e12))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((h2 (op1 (e11) (e13))) = (op2 (h2 (e11)) (h2 (e13))))) -> ((op2 (e21) (e23)) = (e23)) -> ((h2 (e11)) = (e21)) -> ((h2 (e13)) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((e23) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e11) (e11)) = (e11))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> ((e10) = (op1 (e11) (e11))) -> ((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> ((e12) = (op1 (op1 (op1 (e11) (e11)) (op1 (e11) (e11))) (op1 (e11) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e12))\/((op1 (e11) (e10)) = (e13))))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> ((op1 (e11) (op1 (e11) (e13))) = (e13)) -> ((op1 (e13) (e11)) = (e13)) -> False).
% 54.96/55.12 do 0 intro. intros zenon_H474 zenon_H1cc zenon_H1d1 zenon_H23f zenon_H18f zenon_H293 zenon_H292 zenon_H1de zenon_H1da zenon_H2c2 zenon_H2b9 zenon_H32b zenon_H25 zenon_H206 zenon_H19d zenon_H360 zenon_H2f8 zenon_H1fd zenon_H301 zenon_H316 zenon_H204 zenon_H21a zenon_H23b zenon_H17 zenon_H202 zenon_H236 zenon_H2ad zenon_H2e7 zenon_H180 zenon_H179 zenon_H172 zenon_H32e zenon_H30e zenon_H375 zenon_H1ed zenon_H27d zenon_H186 zenon_H4b1 zenon_He9 zenon_H270 zenon_H461 zenon_H3b zenon_H358 zenon_H1fa zenon_H473 zenon_H15a zenon_H13 zenon_H15 zenon_H154 zenon_H155 zenon_H1a9 zenon_H14b zenon_H15f zenon_H18a zenon_H29e zenon_H1c3.
% 54.96/55.12 apply (zenon_or_s _ _ zenon_H474); [ zenon_intro zenon_H163 | zenon_intro zenon_H475 ].
% 54.96/55.12 apply (zenon_L653_); trivial.
% 54.96/55.12 apply (zenon_or_s _ _ zenon_H475); [ zenon_intro zenon_H1a7 | zenon_intro zenon_H476 ].
% 54.96/55.12 exact (zenon_H473 zenon_H1a7).
% 54.96/55.12 apply (zenon_or_s _ _ zenon_H476); [ zenon_intro zenon_H1a8 | zenon_intro zenon_H214 ].
% 54.96/55.12 apply (zenon_L82_); trivial.
% 54.96/55.12 apply (zenon_L149_); trivial.
% 54.96/55.12 (* end of lemma zenon_L725_ *)
% 54.96/55.12 assert (zenon_L726_ : ((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13)))) -> (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> (~((op2 (e22) (e23)) = (e22))) -> (~((op2 (e22) (e22)) = (e22))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> ((e20) = (op2 (e21) (e21))) -> ((e23) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((e22) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> (((op2 (e21) (e20)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/((op2 (e21) (e23)) = (e23))))) -> ((op1 (e12) (e11)) = (e12)) -> ((op1 (e13) (e11)) = (e13)) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> ((op1 (e11) (op1 (e11) (e10))) = (e10)) -> ((op1 (e12) (e10)) = (e10)) -> ((op1 (e10) (e12)) = (e10)) -> (~((op1 (e12) (e12)) = (e11))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> ((op1 (e11) (op1 (e11) (e12))) = (e12)) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> ((h2 (e11)) = (e21)) -> ((h2 (e13)) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> (~((h2 (op1 (e11) (e13))) = (op2 (h2 (e11)) (h2 (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((e12) = (e13))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> ((op1 (e11) (op1 (e11) (e13))) = (e13)) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e12) (e12)) = (e12))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e11)) = (e12))\/((op1 (e10) (e11)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> ((e10) = (op1 (e11) (e11))) -> ((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) -> ((e12) = (op1 (op1 (op1 (e11) (e11)) (op1 (e11) (e11))) (op1 (e11) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e11) (e11)) = (e11))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e12))\/((op1 (e11) (e10)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> ((op1 (e11) (op1 (e11) (e11))) = (e11)) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = 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(e10)))\/((op1 (e13) (e10)) = (e13))))))))))\/((((op1 (e11) (op1 (e11) (e10))) = (e10))/\(((op1 (e11) (op1 (e11) (e11))) = (e11))/\(((op1 (e11) (op1 (e11) (e12))) = (e12))/\(((op1 (e11) (op1 (e11) (e13))) = (e13))/\(((~((op1 (e10) (e10)) = (e11)))\/((op1 (e10) (e11)) = (e10)))/\(((~((op1 (e11) (e11)) = (e11)))\/((op1 (e11) (e11)) = (e11)))/\(((~((op1 (e12) (e12)) = (e11)))\/((op1 (e12) (e11)) = (e12)))/\((~((op1 (e13) (e13)) = (e11)))\/((op1 (e13) (e11)) = (e13))))))))))\/((((op1 (e12) (op1 (e12) (e10))) = (e10))/\(((op1 (e12) (op1 (e12) (e11))) = (e11))/\(((op1 (e12) (op1 (e12) (e12))) = (e12))/\(((op1 (e12) (op1 (e12) (e13))) = (e13))/\(((~((op1 (e10) (e10)) = (e12)))\/((op1 (e10) (e12)) = (e10)))/\(((~((op1 (e11) (e11)) = (e12)))\/((op1 (e11) (e12)) = (e11)))/\(((~((op1 (e12) (e12)) = (e12)))\/((op1 (e12) (e12)) = (e12)))/\((~((op1 (e13) (e13)) = (e12)))\/((op1 (e13) (e12)) = (e13))))))))))\/(((op1 (e13) (op1 (e13) (e10))) = (e10))/\(((op1 (e13) (op1 (e13) (e11))) = (e11))/\(((op1 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(e10) (e10)) = (e10))))/\(((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11))))/\(((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12))))/\((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))))))))\/((((op1 (e13) (e11)) = (e13))/\(((op1 (e11) (e13)) = (e13))/\(((~((op1 (e11) (e10)) = (e11)))\/(~((op1 (e11) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e11) (e12)) = (e11)))\/(~((op1 (e11) (e11)) = (e12))))/\((~((op1 (e11) (e13)) = (e11)))\/(~((op1 (e11) (e11)) = (e13)))))))))\/((((op1 (e13) (e12)) = (e13))/\(((op1 (e12) (e13)) = (e13))/\(((~((op1 (e12) (e10)) = (e12)))\/(~((op1 (e12) (e12)) = (e10))))/\(((~((op1 (e12) (e11)) = (e12)))\/(~((op1 (e12) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13)))))))))\/(((op1 (e13) (e13)) = (e13))/\(((op1 (e13) (e13)) = (e13))/\(((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e13) (e13)) = (e10))))/\(((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11))))/\(((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e13) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13)))))))))))))))))))))))) -> (((op1 (e13) (e13)) = (e10))\/(((op1 (e13) (e13)) = (e11))\/(((op1 (e13) (e13)) = (e12))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((e10) = (e12))) -> (((op2 (e23) (e23)) = (e20))\/(((op2 (e23) (e23)) = (e21))\/(((op2 (e23) (e23)) = (e22))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> ((((op2 (e20) (e20)) = (e20))/\(((op2 (e20) (e20)) = (e20))/\(((~((op2 (e20) (e20)) = (e20)))\/(~((op2 (e20) (e20)) = (e20))))/\(((~((op2 (e20) (e21)) = (e20)))\/(~((op2 (e20) (e20)) = (e21))))/\(((~((op2 (e20) (e22)) = (e20)))\/(~((op2 (e20) (e20)) = (e22))))/\((~((op2 (e20) (e23)) = (e20)))\/(~((op2 (e20) (e20)) = (e23)))))))))\/((((op2 (e20) (e21)) = (e20))/\(((op2 (e21) (e20)) = (e20))/\(((~((op2 (e21) (e20)) = (e21)))\/(~((op2 (e21) (e21)) = (e20))))/\(((~((op2 (e21) (e21)) = (e21)))\/(~((op2 (e21) (e21)) = (e21))))/\(((~((op2 (e21) (e22)) = (e21)))\/(~((op2 (e21) (e21)) = (e22))))/\((~((op2 (e21) (e23)) = (e21)))\/(~((op2 (e21) (e21)) = (e23)))))))))\/((((op2 (e20) (e22)) = (e20))/\(((op2 (e22) (e20)) = (e20))/\(((~((op2 (e22) (e20)) = (e22)))\/(~((op2 (e22) (e22)) = (e20))))/\(((~((op2 (e22) (e21)) = (e22)))\/(~((op2 (e22) (e22)) = (e21))))/\(((~((op2 (e22) (e22)) = (e22)))\/(~((op2 (e22) (e22)) = (e22))))/\((~((op2 (e22) (e23)) = (e22)))\/(~((op2 (e22) (e22)) = (e23)))))))))\/((((op2 (e20) (e23)) = (e20))/\(((op2 (e23) (e20)) = (e20))/\(((~((op2 (e23) (e20)) = (e23)))\/(~((op2 (e23) (e23)) = (e20))))/\(((~((op2 (e23) (e21)) = (e23)))\/(~((op2 (e23) (e23)) = (e21))))/\(((~((op2 (e23) (e22)) = (e23)))\/(~((op2 (e23) (e23)) = (e22))))/\((~((op2 (e23) (e23)) = (e23)))\/(~((op2 (e23) (e23)) = (e23)))))))))\/((((op2 (e21) (e20)) = (e21))/\(((op2 (e20) (e21)) = (e21))/\(((~((op2 (e20) (e20)) = (e20)))\/(~((op2 (e20) (e20)) = (e20))))/\(((~((op2 (e20) (e21)) = (e20)))\/(~((op2 (e20) (e20)) = (e21))))/\(((~((op2 (e20) (e22)) = (e20)))\/(~((op2 (e20) (e20)) = (e22))))/\((~((op2 (e20) (e23)) = (e20)))\/(~((op2 (e20) (e20)) = (e23)))))))))\/((((op2 (e21) (e21)) = (e21))/\(((op2 (e21) (e21)) = (e21))/\(((~((op2 (e21) (e20)) = (e21)))\/(~((op2 (e21) (e21)) = (e20))))/\(((~((op2 (e21) (e21)) = (e21)))\/(~((op2 (e21) (e21)) = (e21))))/\(((~((op2 (e21) (e22)) = (e21)))\/(~((op2 (e21) (e21)) = (e22))))/\((~((op2 (e21) (e23)) = (e21)))\/(~((op2 (e21) (e21)) = (e23)))))))))\/((((op2 (e21) (e22)) = (e21))/\(((op2 (e22) (e21)) = (e21))/\(((~((op2 (e22) (e20)) = (e22)))\/(~((op2 (e22) (e22)) = (e20))))/\(((~((op2 (e22) (e21)) = (e22)))\/(~((op2 (e22) (e22)) = (e21))))/\(((~((op2 (e22) (e22)) = (e22)))\/(~((op2 (e22) (e22)) = (e22))))/\((~((op2 (e22) (e23)) = (e22)))\/(~((op2 (e22) (e22)) = (e23)))))))))\/((((op2 (e21) (e23)) = (e21))/\(((op2 (e23) (e21)) = (e21))/\(((~((op2 (e23) (e20)) = (e23)))\/(~((op2 (e23) (e23)) = (e20))))/\(((~((op2 (e23) (e21)) = (e23)))\/(~((op2 (e23) (e23)) = (e21))))/\(((~((op2 (e23) (e22)) = (e23)))\/(~((op2 (e23) (e23)) = (e22))))/\((~((op2 (e23) (e23)) = (e23)))\/(~((op2 (e23) (e23)) = (e23)))))))))\/((((op2 (e22) (e20)) = (e22))/\(((op2 (e20) (e22)) = (e22))/\(((~((op2 (e20) (e20)) = (e20)))\/(~((op2 (e20) (e20)) = (e20))))/\(((~((op2 (e20) (e21)) = (e20)))\/(~((op2 (e20) (e20)) = (e21))))/\(((~((op2 (e20) (e22)) = (e20)))\/(~((op2 (e20) (e20)) = (e22))))/\((~((op2 (e20) (e23)) = (e20)))\/(~((op2 (e20) (e20)) = (e23)))))))))\/((((op2 (e22) (e21)) = (e22))/\(((op2 (e21) (e22)) = (e22))/\(((~((op2 (e21) (e20)) = (e21)))\/(~((op2 (e21) (e21)) = (e20))))/\(((~((op2 (e21) (e21)) = (e21)))\/(~((op2 (e21) (e21)) = (e21))))/\(((~((op2 (e21) (e22)) = (e21)))\/(~((op2 (e21) (e21)) = (e22))))/\((~((op2 (e21) (e23)) = (e21)))\/(~((op2 (e21) (e21)) = (e23)))))))))\/((((op2 (e22) (e22)) = (e22))/\(((op2 (e22) (e22)) = (e22))/\(((~((op2 (e22) (e20)) = (e22)))\/(~((op2 (e22) (e22)) = (e20))))/\(((~((op2 (e22) (e21)) = (e22)))\/(~((op2 (e22) (e22)) = (e21))))/\(((~((op2 (e22) (e22)) = (e22)))\/(~((op2 (e22) (e22)) = (e22))))/\((~((op2 (e22) (e23)) = (e22)))\/(~((op2 (e22) (e22)) = (e23)))))))))\/((((op2 (e22) (e23)) = (e22))/\(((op2 (e23) (e22)) = (e22))/\(((~((op2 (e23) (e20)) = (e23)))\/(~((op2 (e23) (e23)) = (e20))))/\(((~((op2 (e23) (e21)) = (e23)))\/(~((op2 (e23) (e23)) = (e21))))/\(((~((op2 (e23) (e22)) = (e23)))\/(~((op2 (e23) (e23)) = (e22))))/\((~((op2 (e23) (e23)) = (e23)))\/(~((op2 (e23) (e23)) = (e23)))))))))\/((((op2 (e23) (e20)) = (e23))/\(((op2 (e20) (e23)) = (e23))/\(((~((op2 (e20) (e20)) = (e20)))\/(~((op2 (e20) (e20)) = (e20))))/\(((~((op2 (e20) (e21)) = (e20)))\/(~((op2 (e20) (e20)) = (e21))))/\(((~((op2 (e20) (e22)) = (e20)))\/(~((op2 (e20) (e20)) = (e22))))/\((~((op2 (e20) (e23)) = (e20)))\/(~((op2 (e20) (e20)) = (e23)))))))))\/((((op2 (e23) (e21)) = (e23))/\(((op2 (e21) (e23)) = (e23))/\(((~((op2 (e21) (e20)) = (e21)))\/(~((op2 (e21) (e21)) = (e20))))/\(((~((op2 (e21) (e21)) = (e21)))\/(~((op2 (e21) (e21)) = (e21))))/\(((~((op2 (e21) (e22)) = (e21)))\/(~((op2 (e21) (e21)) = (e22))))/\((~((op2 (e21) (e23)) = (e21)))\/(~((op2 (e21) (e21)) = (e23)))))))))\/((((op2 (e23) (e22)) = (e23))/\(((op2 (e22) (e23)) = (e23))/\(((~((op2 (e22) (e20)) = (e22)))\/(~((op2 (e22) (e22)) = (e20))))/\(((~((op2 (e22) (e21)) = (e22)))\/(~((op2 (e22) (e22)) = (e21))))/\(((~((op2 (e22) (e22)) = (e22)))\/(~((op2 (e22) (e22)) = (e22))))/\((~((op2 (e22) (e23)) = (e22)))\/(~((op2 (e22) (e22)) = (e23)))))))))\/(((op2 (e23) (e23)) = (e23))/\(((op2 (e23) (e23)) = (e23))/\(((~((op2 (e23) (e20)) = (e23)))\/(~((op2 (e23) (e23)) = (e20))))/\(((~((op2 (e23) (e21)) = (e23)))\/(~((op2 (e23) (e23)) = (e21))))/\(((~((op2 (e23) (e22)) = (e23)))\/(~((op2 (e23) (e23)) = (e22))))/\((~((op2 (e23) (e23)) = (e23)))\/(~((op2 (e23) (e23)) = (e23)))))))))))))))))))))))) -> (((op2 (e20) (e21)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e23) (e21)) = (e22))))) -> False).
% 54.96/55.12 do 0 intro. intros zenon_H22c zenon_Hf1 zenon_H281 zenon_Hd7 zenon_H286 zenon_H33 zenon_H3b zenon_H3f zenon_Hb0 zenon_H399 zenon_H202 zenon_H1c3 zenon_H437 zenon_H9f zenon_H1a0 zenon_H1e zenon_H1fa zenon_H1de zenon_H292 zenon_H293 zenon_H18f zenon_H23f zenon_H1da zenon_H32e zenon_H1ed zenon_H375 zenon_H209 zenon_H21a zenon_H2c2 zenon_H270 zenon_H461 zenon_H4b1 zenon_H358 zenon_H2ad zenon_H236 zenon_H32b zenon_H19d zenon_H316 zenon_H360 zenon_H1cc zenon_H18a zenon_H1fd zenon_H172 zenon_H29e zenon_H2f8 zenon_H301 zenon_H23b zenon_H1d1 zenon_H204 zenon_H179 zenon_H180 zenon_H186 zenon_H17 zenon_H206 zenon_H2b9 zenon_H30e zenon_H25 zenon_H2e7 zenon_H15a zenon_H13 zenon_H15 zenon_H155 zenon_H154 zenon_H473 zenon_H15f zenon_H1a9 zenon_H14b zenon_H1be zenon_H1d8 zenon_H2a3 zenon_H2a5 zenon_H2a6 zenon_H2b1 zenon_H1b1 zenon_H313 zenon_H474 zenon_H116 zenon_H3af zenon_He8 zenon_H3b4 zenon_H45 zenon_H3c1 zenon_H4a zenon_H3e zenon_H32 zenon_H36e zenon_H355 zenon_H345 zenon_H35d zenon_H2d1 zenon_H2d9 zenon_H2e6 zenon_H2e2 zenon_H2ea zenon_H30b zenon_H321 zenon_H322 zenon_H325 zenon_H2f6 zenon_H2fb zenon_H2fd zenon_H28c zenon_H289 zenon_H93 zenon_H8d zenon_H27e zenon_H28d zenon_H3f1 zenon_H55 zenon_Hfc zenon_H3b1 zenon_H60 zenon_H282 zenon_H39d zenon_H3b7 zenon_Hec zenon_H11f zenon_H37d zenon_H100 zenon_H3a8 zenon_H481 zenon_H47c zenon_H395 zenon_H47a zenon_H6e zenon_H47e zenon_H98 zenon_Ha5 zenon_H4c2 zenon_H485 zenon_H328 zenon_H2c9 zenon_H4c3 zenon_H2c0 zenon_H245 zenon_H20c zenon_H1e8 zenon_H1f4 zenon_H1f7 zenon_H246 zenon_H192 zenon_H18e zenon_H16c zenon_H382 zenon_H3c2 zenon_H489 zenon_Hc5 zenon_Hca zenon_H67 zenon_H38f zenon_H394 zenon_H128 zenon_H3fd.
% 54.96/55.12 apply (zenon_or_s _ _ zenon_H22c); [ zenon_intro zenon_H27d | zenon_intro zenon_H29d ].
% 54.96/55.12 apply (zenon_or_s _ _ zenon_H3fd); [ zenon_intro zenon_H285 | zenon_intro zenon_H3ff ].
% 54.96/55.12 apply (zenon_L572_); trivial.
% 54.96/55.12 apply (zenon_or_s _ _ zenon_H3ff); [ zenon_intro zenon_H401 | zenon_intro zenon_H400 ].
% 54.96/55.12 apply (zenon_or_s _ _ zenon_H399); [ zenon_intro zenon_H44 | zenon_intro zenon_H39a ].
% 54.96/55.12 apply (zenon_L10_); trivial.
% 54.96/55.12 apply (zenon_or_s _ _ zenon_H39a); [ zenon_intro zenon_H388 | zenon_intro zenon_H39b ].
% 54.96/55.12 apply (zenon_L620_); trivial.
% 54.96/55.12 apply (zenon_or_s _ _ zenon_H39b); [ zenon_intro zenon_H38e | zenon_intro zenon_He9 ].
% 54.96/55.12 apply (zenon_L449_); trivial.
% 54.96/55.12 apply (zenon_L725_); trivial.
% 54.96/55.12 apply (zenon_or_s _ _ zenon_H400); [ zenon_intro zenon_Hd3 | zenon_intro zenon_H5f ].
% 54.96/55.12 apply (zenon_L710_); trivial.
% 54.96/55.12 apply (zenon_L15_); trivial.
% 54.96/55.12 apply (zenon_L144_); trivial.
% 54.96/55.12 (* end of lemma zenon_L726_ *)
% 54.96/55.12 assert (zenon_L727_ : ((~((op2 (e22) (e23)) = (e22)))\/(~((op2 (e22) (e22)) = (e23)))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e12))\/((op1 (e11) (e10)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> ((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) -> ((e12) = (op1 (op1 (op1 (e11) (e11)) (op1 (e11) (e11))) (op1 (e11) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((e10) = (e12))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e11)) = (e12))\/((op1 (e10) (e11)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (((op1 (e13) (e13)) = (e10))\/(((op1 (e13) (e13)) = (e11))\/(((op1 (e13) (e13)) = (e12))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (~((e12) = (e13))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> ((((op1 (e10) (e10)) = (e10))/\(((op1 (e10) (e10)) = (e10))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11))))/\(((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12))))/\((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))))))))\/((((op1 (e10) (e11)) = (e10))/\(((op1 (e11) (e10)) = (e10))/\(((~((op1 (e11) (e10)) = (e11)))\/(~((op1 (e11) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e11) (e12)) = (e11)))\/(~((op1 (e11) (e11)) = (e12))))/\((~((op1 (e11) (e13)) = (e11)))\/(~((op1 (e11) (e11)) = (e13)))))))))\/((((op1 (e10) (e12)) = (e10))/\(((op1 (e12) (e10)) = (e10))/\(((~((op1 (e12) (e10)) = (e12)))\/(~((op1 (e12) (e12)) = (e10))))/\(((~((op1 (e12) (e11)) = (e12)))\/(~((op1 (e12) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13)))))))))\/((((op1 (e10) (e13)) = (e10))/\(((op1 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(e10) (e13)) = (e13))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11))))/\(((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12))))/\((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))))))))\/((((op1 (e13) (e11)) = (e13))/\(((op1 (e11) (e13)) = (e13))/\(((~((op1 (e11) (e10)) = (e11)))\/(~((op1 (e11) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e11) (e12)) = (e11)))\/(~((op1 (e11) (e11)) = (e12))))/\((~((op1 (e11) (e13)) = (e11)))\/(~((op1 (e11) (e11)) = (e13)))))))))\/((((op1 (e13) (e12)) = (e13))/\(((op1 (e12) (e13)) = (e13))/\(((~((op1 (e12) (e10)) = (e12)))\/(~((op1 (e12) (e12)) = (e10))))/\(((~((op1 (e12) (e11)) = (e12)))\/(~((op1 (e12) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13)))))))))\/(((op1 (e13) (e13)) = (e13))/\(((op1 (e13) (e13)) = (e13))/\(((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e13) (e13)) = (e10))))/\(((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11))))/\(((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e13) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13)))))))))))))))))))))))) -> ((e10) = (op1 (e11) (e11))) -> ((~((op2 (e23) (e23)) = (e21)))\/((op2 (e23) (e21)) = (e23))) -> (((op2 (e21) (e20)) = (e20))\/(((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e20)) = (e22))\/((op2 (e21) (e20)) = (e23))))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> ((((op1 (e10) (op1 (e10) (e10))) = (e10))/\(((op1 (e10) (op1 (e10) (e11))) = (e11))/\(((op1 (e10) (op1 (e10) (e12))) = (e12))/\(((op1 (e10) (op1 (e10) (e13))) = (e13))/\(((~((op1 (e10) (e10)) = (e10)))\/((op1 (e10) (e10)) = (e10)))/\(((~((op1 (e11) (e11)) = (e10)))\/((op1 (e11) (e10)) = (e11)))/\(((~((op1 (e12) (e12)) = (e10)))\/((op1 (e12) (e10)) = (e12)))/\((~((op1 (e13) 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(e11))/\(((op1 (e13) (op1 (e13) (e12))) = (e12))/\(((op1 (e13) (op1 (e13) (e13))) = (e13))/\(((~((op1 (e10) (e10)) = (e13)))\/((op1 (e10) (e13)) = (e10)))/\(((~((op1 (e11) (e11)) = (e13)))\/((op1 (e11) (e13)) = (e11)))/\(((~((op1 (e12) (e12)) = (e13)))\/((op1 (e12) (e13)) = (e12)))/\((~((op1 (e13) (e13)) = (e13)))\/((op1 (e13) (e13)) = (e13))))))))))))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e12) (e13)) = (e10))))) -> (((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e12) (e11)) = (e13))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (((op2 (e23) (e23)) = (e20))\/(((op2 (e23) (e23)) = (e21))\/(((op2 (e23) (e23)) = (e22))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> ((((op2 (e20) (e20)) = (e20))/\(((op2 (e20) (e20)) = (e20))/\(((~((op2 (e20) (e20)) = (e20)))\/(~((op2 (e20) (e20)) = (e20))))/\(((~((op2 (e20) (e21)) = (e20)))\/(~((op2 (e20) (e20)) = (e21))))/\(((~((op2 (e20) (e22)) = (e20)))\/(~((op2 (e20) (e20)) = (e22))))/\((~((op2 (e20) (e23)) = (e20)))\/(~((op2 (e20) (e20)) = (e23)))))))))\/((((op2 (e20) (e21)) = (e20))/\(((op2 (e21) (e20)) = (e20))/\(((~((op2 (e21) (e20)) = (e21)))\/(~((op2 (e21) (e21)) = (e20))))/\(((~((op2 (e21) (e21)) = (e21)))\/(~((op2 (e21) (e21)) = (e21))))/\(((~((op2 (e21) (e22)) = (e21)))\/(~((op2 (e21) (e21)) = (e22))))/\((~((op2 (e21) (e23)) = (e21)))\/(~((op2 (e21) (e21)) = (e23)))))))))\/((((op2 (e20) (e22)) = (e20))/\(((op2 (e22) (e20)) = (e20))/\(((~((op2 (e22) (e20)) = (e22)))\/(~((op2 (e22) (e22)) = (e20))))/\(((~((op2 (e22) (e21)) = (e22)))\/(~((op2 (e22) (e22)) = (e21))))/\(((~((op2 (e22) (e22)) = (e22)))\/(~((op2 (e22) (e22)) = (e22))))/\((~((op2 (e22) (e23)) = (e22)))\/(~((op2 (e22) (e22)) = (e23)))))))))\/((((op2 (e20) (e23)) = (e20))/\(((op2 (e23) (e20)) = (e20))/\(((~((op2 (e23) (e20)) = (e23)))\/(~((op2 (e23) (e23)) = (e20))))/\(((~((op2 (e23) (e21)) = (e23)))\/(~((op2 (e23) (e23)) = (e21))))/\(((~((op2 (e23) (e22)) = (e23)))\/(~((op2 (e23) (e23)) = (e22))))/\((~((op2 (e23) (e23)) = (e23)))\/(~((op2 (e23) (e23)) = (e23)))))))))\/((((op2 (e21) (e20)) = (e21))/\(((op2 (e20) (e21)) = (e21))/\(((~((op2 (e20) (e20)) = (e20)))\/(~((op2 (e20) (e20)) = (e20))))/\(((~((op2 (e20) (e21)) = (e20)))\/(~((op2 (e20) (e20)) = (e21))))/\(((~((op2 (e20) (e22)) = (e20)))\/(~((op2 (e20) (e20)) = (e22))))/\((~((op2 (e20) (e23)) = (e20)))\/(~((op2 (e20) (e20)) = (e23)))))))))\/((((op2 (e21) (e21)) = (e21))/\(((op2 (e21) (e21)) = (e21))/\(((~((op2 (e21) (e20)) = (e21)))\/(~((op2 (e21) (e21)) = (e20))))/\(((~((op2 (e21) (e21)) = (e21)))\/(~((op2 (e21) (e21)) = (e21))))/\(((~((op2 (e21) (e22)) = (e21)))\/(~((op2 (e21) (e21)) = (e22))))/\((~((op2 (e21) (e23)) = (e21)))\/(~((op2 (e21) (e21)) = (e23)))))))))\/((((op2 (e21) (e22)) = (e21))/\(((op2 (e22) (e21)) = (e21))/\(((~((op2 (e22) (e20)) = (e22)))\/(~((op2 (e22) (e22)) = (e20))))/\(((~((op2 (e22) (e21)) = (e22)))\/(~((op2 (e22) (e22)) = (e21))))/\(((~((op2 (e22) (e22)) = (e22)))\/(~((op2 (e22) (e22)) = (e22))))/\((~((op2 (e22) (e23)) = (e22)))\/(~((op2 (e22) (e22)) = (e23)))))))))\/((((op2 (e21) (e23)) = (e21))/\(((op2 (e23) (e21)) = (e21))/\(((~((op2 (e23) (e20)) = (e23)))\/(~((op2 (e23) (e23)) = (e20))))/\(((~((op2 (e23) (e21)) = (e23)))\/(~((op2 (e23) (e23)) = (e21))))/\(((~((op2 (e23) (e22)) = (e23)))\/(~((op2 (e23) (e23)) = (e22))))/\((~((op2 (e23) (e23)) = (e23)))\/(~((op2 (e23) (e23)) = (e23)))))))))\/((((op2 (e22) (e20)) = (e22))/\(((op2 (e20) (e22)) = (e22))/\(((~((op2 (e20) (e20)) = (e20)))\/(~((op2 (e20) (e20)) = (e20))))/\(((~((op2 (e20) (e21)) = (e20)))\/(~((op2 (e20) (e20)) = (e21))))/\(((~((op2 (e20) (e22)) = (e20)))\/(~((op2 (e20) (e20)) = (e22))))/\((~((op2 (e20) (e23)) = (e20)))\/(~((op2 (e20) (e20)) = (e23)))))))))\/((((op2 (e22) (e21)) = (e22))/\(((op2 (e21) (e22)) = (e22))/\(((~((op2 (e21) (e20)) = (e21)))\/(~((op2 (e21) (e21)) = (e20))))/\(((~((op2 (e21) (e21)) = (e21)))\/(~((op2 (e21) (e21)) = (e21))))/\(((~((op2 (e21) (e22)) = (e21)))\/(~((op2 (e21) (e21)) = (e22))))/\((~((op2 (e21) (e23)) = (e21)))\/(~((op2 (e21) (e21)) = (e23)))))))))\/((((op2 (e22) (e22)) = (e22))/\(((op2 (e22) (e22)) = (e22))/\(((~((op2 (e22) (e20)) = (e22)))\/(~((op2 (e22) (e22)) = (e20))))/\(((~((op2 (e22) (e21)) = (e22)))\/(~((op2 (e22) (e22)) = (e21))))/\(((~((op2 (e22) (e22)) = (e22)))\/(~((op2 (e22) (e22)) = (e22))))/\((~((op2 (e22) (e23)) = (e22)))\/(~((op2 (e22) (e22)) = (e23)))))))))\/((((op2 (e22) (e23)) = (e22))/\(((op2 (e23) (e22)) = (e22))/\(((~((op2 (e23) (e20)) = (e23)))\/(~((op2 (e23) (e23)) = (e20))))/\(((~((op2 (e23) (e21)) = (e23)))\/(~((op2 (e23) (e23)) = (e21))))/\(((~((op2 (e23) (e22)) = (e23)))\/(~((op2 (e23) (e23)) = (e22))))/\((~((op2 (e23) (e23)) = (e23)))\/(~((op2 (e23) (e23)) = (e23)))))))))\/((((op2 (e23) (e20)) = (e23))/\(((op2 (e20) (e23)) = (e23))/\(((~((op2 (e20) (e20)) = (e20)))\/(~((op2 (e20) (e20)) = (e20))))/\(((~((op2 (e20) (e21)) = (e20)))\/(~((op2 (e20) (e20)) = (e21))))/\(((~((op2 (e20) (e22)) = (e20)))\/(~((op2 (e20) (e20)) = (e22))))/\((~((op2 (e20) (e23)) = (e20)))\/(~((op2 (e20) (e20)) = (e23)))))))))\/((((op2 (e23) (e21)) = (e23))/\(((op2 (e21) (e23)) = (e23))/\(((~((op2 (e21) (e20)) = (e21)))\/(~((op2 (e21) (e21)) = (e20))))/\(((~((op2 (e21) (e21)) = (e21)))\/(~((op2 (e21) (e21)) = (e21))))/\(((~((op2 (e21) (e22)) = (e21)))\/(~((op2 (e21) (e21)) = (e22))))/\((~((op2 (e21) (e23)) = (e21)))\/(~((op2 (e21) (e21)) = (e23)))))))))\/((((op2 (e23) (e22)) = (e23))/\(((op2 (e22) (e23)) = (e23))/\(((~((op2 (e22) (e20)) = (e22)))\/(~((op2 (e22) (e22)) = (e20))))/\(((~((op2 (e22) (e21)) = (e22)))\/(~((op2 (e22) (e22)) = (e21))))/\(((~((op2 (e22) (e22)) = (e22)))\/(~((op2 (e22) (e22)) = (e22))))/\((~((op2 (e22) (e23)) = (e22)))\/(~((op2 (e22) (e22)) = (e23)))))))))\/(((op2 (e23) (e23)) = (e23))/\(((op2 (e23) (e23)) = (e23))/\(((~((op2 (e23) (e20)) = (e23)))\/(~((op2 (e23) (e23)) = (e20))))/\(((~((op2 (e23) (e21)) = (e23)))\/(~((op2 (e23) (e23)) = (e21))))/\(((~((op2 (e23) (e22)) = (e23)))\/(~((op2 (e23) (e23)) = (e22))))/\((~((op2 (e23) (e23)) = (e23)))\/(~((op2 (e23) (e23)) = (e23)))))))))))))))))))))))) -> (((op2 (e20) (e21)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e23) (e21)) = (e22))))) -> (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> (((op2 (e20) (e21)) = (e20))\/(((op2 (e20) (e21)) = (e21))\/(((op2 (e20) (e21)) = (e22))\/((op2 (e20) (e21)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> (~((e21) = (e22))) -> (~((op2 (e21) (e21)) = (e21))) -> (((op2 (e22) (e20)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e22) (e23)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e21)) = (e22))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((e22) = (e23))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> ((op2 (e22) (e20)) = (e20)) -> (~((op2 (e22) (e22)) = (e21))) -> (((op2 (e22) (e22)) = (e20))\/(((op2 (e22) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e22)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> ((op2 (e21) (op2 (e21) (e22))) = (e22)) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> ((op2 (e21) (op2 (e21) (e23))) = (e23)) -> (~((op2 (e21) (e22)) = (op2 (e21) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e22)))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e20) (e21)) = (e23))\/(((op2 (e20) (e22)) = (e23))\/((op2 (e20) (e23)) = (e23))))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e10)) = (e12))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e13) (e10)) = (e12))))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> ((op2 (e23) (e21)) = (e23)) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((h2 (op1 (e11) (e13))) = (op2 (h2 (e11)) (h2 (e13))))) -> ((h2 (e13)) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((h2 (e11)) = (e21)) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (((op2 (e21) (e20)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/((op2 (e21) (e23)) = (e23))))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> ((e22) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> ((e23) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((e20) = (op2 (e21) (e21))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (~((op2 (e22) (e22)) = (e22))) -> (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> False).
% 54.96/55.12 do 0 intro. intros zenon_Hdf zenon_H15f zenon_H15a zenon_H15 zenon_H155 zenon_H154 zenon_H14b zenon_H186 zenon_H180 zenon_H179 zenon_H172 zenon_H16c zenon_H18a zenon_H18e zenon_H192 zenon_H246 zenon_H19d zenon_H1a0 zenon_H25 zenon_H1e zenon_H17 zenon_H1a9 zenon_H209 zenon_H206 zenon_H204 zenon_H1fd zenon_H1fa zenon_H1f7 zenon_H1f4 zenon_H1ed zenon_H1e8 zenon_H1da zenon_H1d8 zenon_H1cc zenon_H1de zenon_H1b1 zenon_H1be zenon_H20c zenon_H21a zenon_H236 zenon_H23b zenon_H245 zenon_H13 zenon_H3c1 zenon_H4a zenon_H3e zenon_H32 zenon_H36e zenon_H355 zenon_H345 zenon_H35d zenon_H2d1 zenon_H2d9 zenon_H2e6 zenon_H2e2 zenon_H2ea zenon_H30b zenon_H321 zenon_H322 zenon_H325 zenon_H2f6 zenon_H2fb zenon_H2fd zenon_H382 zenon_H3c2 zenon_H489 zenon_Hc5 zenon_Hca zenon_H67 zenon_H38f zenon_H394 zenon_H128 zenon_H3fd zenon_H28c zenon_H289 zenon_H93 zenon_H8d zenon_H27e zenon_H28d zenon_H3f1 zenon_H55 zenon_Hfc zenon_H3b1 zenon_H60 zenon_H282 zenon_H39d zenon_H3b7 zenon_Hec zenon_H11f zenon_H37d zenon_H121 zenon_H101 zenon_H100 zenon_H3a8 zenon_H481 zenon_H47c zenon_H395 zenon_H47a zenon_H6e zenon_H47e zenon_H98 zenon_Ha5 zenon_H4c2 zenon_H485 zenon_H328 zenon_H2c9 zenon_H4c3 zenon_H2c0 zenon_H45 zenon_H3b4 zenon_He8 zenon_H3af zenon_H116 zenon_H474 zenon_H313 zenon_H2b1 zenon_H2a5 zenon_H2a3 zenon_H2e7 zenon_H30e zenon_H2b9 zenon_H301 zenon_H2f8 zenon_H360 zenon_H316 zenon_H32b zenon_H2ad zenon_H358 zenon_H4b1 zenon_H461 zenon_H270 zenon_H2c2 zenon_H32e zenon_H9f zenon_H437 zenon_H399 zenon_Hb0 zenon_H3f zenon_H3b zenon_H33 zenon_H286 zenon_Hd7 zenon_Hf1.
% 54.96/55.12 apply (zenon_or_s _ _ zenon_Hdf); [ zenon_intro zenon_H281 | zenon_intro zenon_H37f ].
% 54.96/55.12 apply (zenon_or_s _ _ zenon_H36e); [ zenon_intro zenon_H244 | zenon_intro zenon_H36f ].
% 54.96/55.12 apply (zenon_L126_); trivial.
% 54.96/55.12 apply (zenon_or_s _ _ zenon_H36f); [ zenon_intro zenon_H371 | zenon_intro zenon_H370 ].
% 54.96/55.12 apply (zenon_and_s _ _ zenon_H371). zenon_intro zenon_H292. zenon_intro zenon_H372.
% 54.96/55.12 apply (zenon_and_s _ _ zenon_H372). zenon_intro zenon_H2a6. zenon_intro zenon_H373.
% 54.96/55.12 apply (zenon_and_s _ _ zenon_H373). zenon_intro zenon_H375. zenon_intro zenon_H374.
% 54.96/55.12 apply (zenon_and_s _ _ zenon_H374). zenon_intro zenon_H29e. zenon_intro zenon_H376.
% 54.96/55.12 apply (zenon_and_s _ _ zenon_H376). zenon_intro zenon_H378. zenon_intro zenon_H377.
% 54.96/55.12 apply (zenon_and_s _ _ zenon_H377). zenon_intro zenon_H37a. zenon_intro zenon_H379.
% 54.96/55.12 apply (zenon_and_s _ _ zenon_H379). zenon_intro zenon_H37c. zenon_intro zenon_H37b.
% 54.96/55.12 apply (zenon_or_s _ _ zenon_H37a); [ zenon_intro zenon_H473 | zenon_intro zenon_H1a7 ].
% 54.96/55.12 apply (zenon_or_s _ _ zenon_H37c); [ zenon_intro zenon_H23f | zenon_intro zenon_H202 ].
% 54.96/55.12 apply (zenon_or_s _ _ zenon_H37b); [ zenon_intro zenon_H20d | zenon_intro zenon_H1c3 ].
% 54.96/55.12 apply (zenon_or_s _ _ zenon_H245); [ zenon_intro zenon_H147 | zenon_intro zenon_H254 ].
% 54.96/55.12 apply (zenon_L60_); trivial.
% 54.96/55.12 apply (zenon_or_s _ _ zenon_H254); [ zenon_intro zenon_H164 | zenon_intro zenon_H255 ].
% 54.96/55.12 apply (zenon_L66_); trivial.
% 54.96/55.12 apply (zenon_or_s _ _ zenon_H255); [ zenon_intro zenon_H197 | zenon_intro zenon_H256 ].
% 54.96/55.12 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_H18f. zenon_intro zenon_H198.
% 54.96/55.12 apply (zenon_and_s _ _ zenon_H198). zenon_intro zenon_H293. zenon_intro zenon_H227.
% 54.96/55.12 apply (zenon_and_s _ _ zenon_H227). zenon_intro zenon_H229. zenon_intro zenon_H228.
% 54.96/55.12 apply (zenon_and_s _ _ zenon_H228). zenon_intro zenon_H22b. zenon_intro zenon_H22a.
% 54.96/55.12 apply (zenon_and_s _ _ zenon_H22a). zenon_intro zenon_H224. zenon_intro zenon_H22c.
% 54.96/55.12 apply (zenon_or_s _ _ zenon_H224); [ zenon_intro zenon_H1d1 | zenon_intro zenon_H1d1 ].
% 54.96/55.12 apply (zenon_L722_); trivial.
% 54.96/55.12 apply (zenon_L722_); trivial.
% 54.96/55.12 apply (zenon_or_s _ _ zenon_H256); [ zenon_intro zenon_H199 | zenon_intro zenon_H257 ].
% 54.96/55.12 apply (zenon_L77_); trivial.
% 54.96/55.12 apply (zenon_or_s _ _ zenon_H257); [ zenon_intro zenon_H259 | zenon_intro zenon_H258 ].
% 54.96/55.12 apply (zenon_L647_); trivial.
% 54.96/55.12 apply (zenon_or_s _ _ zenon_H258); [ zenon_intro zenon_H1a5 | zenon_intro zenon_H262 ].
% 54.96/55.12 apply (zenon_L80_); trivial.
% 54.96/55.12 apply (zenon_or_s _ _ zenon_H262); [ zenon_intro zenon_H1ae | zenon_intro zenon_H263 ].
% 54.96/55.12 apply (zenon_L83_); trivial.
% 54.96/55.12 apply (zenon_or_s _ _ zenon_H263); [ zenon_intro zenon_H212 | zenon_intro zenon_H264 ].
% 54.96/55.12 apply (zenon_L161_); trivial.
% 54.96/55.12 apply (zenon_or_s _ _ zenon_H264); [ zenon_intro zenon_H220 | zenon_intro zenon_H265 ].
% 54.96/55.12 apply (zenon_L110_); trivial.
% 54.96/55.12 apply (zenon_or_s _ _ zenon_H265); [ zenon_intro zenon_H222 | zenon_intro zenon_H266 ].
% 54.96/55.12 apply (zenon_L111_); trivial.
% 54.96/55.12 apply (zenon_or_s _ _ zenon_H266); [ zenon_intro zenon_H225 | zenon_intro zenon_H267 ].
% 54.96/55.12 apply (zenon_L113_); trivial.
% 54.96/55.12 apply (zenon_or_s _ _ zenon_H267); [ zenon_intro zenon_H22d | zenon_intro zenon_H268 ].
% 54.96/55.12 apply (zenon_L114_); trivial.
% 54.96/55.12 apply (zenon_or_s _ _ zenon_H268); [ zenon_intro zenon_H230 | zenon_intro zenon_H269 ].
% 54.96/55.12 apply (zenon_L115_); trivial.
% 54.96/55.12 apply (zenon_or_s _ _ zenon_H269); [ zenon_intro zenon_H232 | zenon_intro zenon_H26a ].
% 54.96/55.12 apply (zenon_L116_); trivial.
% 54.96/55.12 apply (zenon_or_s _ _ zenon_H26a); [ zenon_intro zenon_H240 | zenon_intro zenon_H242 ].
% 54.96/55.12 apply (zenon_L166_); trivial.
% 54.96/55.12 apply (zenon_L125_); trivial.
% 54.96/55.12 apply (zenon_or_s _ _ zenon_H245); [ zenon_intro zenon_H147 | zenon_intro zenon_H254 ].
% 54.96/55.12 apply (zenon_L60_); trivial.
% 54.96/55.12 apply (zenon_or_s _ _ zenon_H254); [ zenon_intro zenon_H164 | zenon_intro zenon_H255 ].
% 54.96/55.12 apply (zenon_L66_); trivial.
% 54.96/55.12 apply (zenon_or_s _ _ zenon_H255); [ zenon_intro zenon_H197 | zenon_intro zenon_H256 ].
% 54.96/55.12 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_H18f. zenon_intro zenon_H198.
% 54.96/55.12 apply (zenon_and_s _ _ zenon_H198). zenon_intro zenon_H293. zenon_intro zenon_H227.
% 54.96/55.12 apply (zenon_and_s _ _ zenon_H227). zenon_intro zenon_H229. zenon_intro zenon_H228.
% 54.96/55.12 apply (zenon_and_s _ _ zenon_H228). zenon_intro zenon_H22b. zenon_intro zenon_H22a.
% 54.96/55.12 apply (zenon_and_s _ _ zenon_H22a). zenon_intro zenon_H224. zenon_intro zenon_H22c.
% 54.96/55.12 apply (zenon_or_s _ _ zenon_H224); [ zenon_intro zenon_H1d1 | zenon_intro zenon_H1d1 ].
% 54.96/55.12 apply (zenon_L723_); trivial.
% 54.96/55.12 apply (zenon_L723_); trivial.
% 54.96/55.12 apply (zenon_or_s _ _ zenon_H256); [ zenon_intro zenon_H199 | zenon_intro zenon_H257 ].
% 54.96/55.12 apply (zenon_L77_); trivial.
% 54.96/55.12 apply (zenon_or_s _ _ zenon_H257); [ zenon_intro zenon_H259 | zenon_intro zenon_H258 ].
% 54.96/55.12 apply (zenon_L647_); trivial.
% 54.96/55.12 apply (zenon_or_s _ _ zenon_H258); [ zenon_intro zenon_H1a5 | zenon_intro zenon_H262 ].
% 54.96/55.12 apply (zenon_L80_); trivial.
% 54.96/55.12 apply (zenon_or_s _ _ zenon_H262); [ zenon_intro zenon_H1ae | zenon_intro zenon_H263 ].
% 54.96/55.12 apply (zenon_L83_); trivial.
% 54.96/55.12 apply (zenon_or_s _ _ zenon_H263); [ zenon_intro zenon_H212 | zenon_intro zenon_H264 ].
% 54.96/55.12 apply (zenon_L167_); trivial.
% 54.96/55.12 apply (zenon_or_s _ _ zenon_H264); [ zenon_intro zenon_H220 | zenon_intro zenon_H265 ].
% 54.96/55.12 apply (zenon_L110_); trivial.
% 54.96/55.12 apply (zenon_or_s _ _ zenon_H265); [ zenon_intro zenon_H222 | zenon_intro zenon_H266 ].
% 54.96/55.12 apply (zenon_L111_); trivial.
% 54.96/55.12 apply (zenon_or_s _ _ zenon_H266); [ zenon_intro zenon_H225 | zenon_intro zenon_H267 ].
% 54.96/55.12 apply (zenon_L113_); trivial.
% 54.96/55.12 apply (zenon_or_s _ _ zenon_H267); [ zenon_intro zenon_H22d | zenon_intro zenon_H268 ].
% 54.96/55.12 apply (zenon_L114_); trivial.
% 54.96/55.12 apply (zenon_or_s _ _ zenon_H268); [ zenon_intro zenon_H230 | zenon_intro zenon_H269 ].
% 54.96/55.12 apply (zenon_L115_); trivial.
% 54.96/55.12 apply (zenon_or_s _ _ zenon_H269); [ zenon_intro zenon_H232 | zenon_intro zenon_H26a ].
% 54.96/55.12 apply (zenon_L116_); trivial.
% 54.96/55.12 apply (zenon_or_s _ _ zenon_H26a); [ zenon_intro zenon_H240 | zenon_intro zenon_H242 ].
% 54.96/55.12 apply (zenon_L166_); trivial.
% 54.96/55.12 apply (zenon_L125_); trivial.
% 54.96/55.12 apply (zenon_or_s _ _ zenon_H37b); [ zenon_intro zenon_H20d | zenon_intro zenon_H1c3 ].
% 54.96/55.12 apply (zenon_or_s _ _ zenon_H245); [ zenon_intro zenon_H147 | zenon_intro zenon_H254 ].
% 54.96/55.12 apply (zenon_L60_); trivial.
% 54.96/55.12 apply (zenon_or_s _ _ zenon_H254); [ zenon_intro zenon_H164 | zenon_intro zenon_H255 ].
% 54.96/55.12 apply (zenon_L66_); trivial.
% 54.96/55.12 apply (zenon_or_s _ _ zenon_H255); [ zenon_intro zenon_H197 | zenon_intro zenon_H256 ].
% 54.96/55.12 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_H18f. zenon_intro zenon_H198.
% 54.96/55.12 apply (zenon_and_s _ _ zenon_H198). zenon_intro zenon_H293. zenon_intro zenon_H227.
% 54.96/55.12 apply (zenon_and_s _ _ zenon_H227). zenon_intro zenon_H229. zenon_intro zenon_H228.
% 54.96/55.12 apply (zenon_and_s _ _ zenon_H228). zenon_intro zenon_H22b. zenon_intro zenon_H22a.
% 54.96/55.12 apply (zenon_and_s _ _ zenon_H22a). zenon_intro zenon_H224. zenon_intro zenon_H22c.
% 54.96/55.12 apply (zenon_or_s _ _ zenon_H22b); [ zenon_intro zenon_H23c | zenon_intro zenon_H23f ].
% 54.96/55.12 exact (zenon_H23c zenon_H202).
% 54.96/55.12 apply (zenon_or_s _ _ zenon_H224); [ zenon_intro zenon_H1d1 | zenon_intro zenon_H1d1 ].
% 54.96/55.12 apply (zenon_L724_); trivial.
% 54.96/55.12 apply (zenon_L724_); trivial.
% 54.96/55.12 apply (zenon_or_s _ _ zenon_H256); [ zenon_intro zenon_H199 | zenon_intro zenon_H257 ].
% 54.96/55.12 apply (zenon_L77_); trivial.
% 54.96/55.12 apply (zenon_or_s _ _ zenon_H257); [ zenon_intro zenon_H259 | zenon_intro zenon_H258 ].
% 54.96/55.12 apply (zenon_L661_); trivial.
% 54.96/55.12 apply (zenon_or_s _ _ zenon_H258); [ zenon_intro zenon_H1a5 | zenon_intro zenon_H262 ].
% 54.96/55.12 apply (zenon_L80_); trivial.
% 54.96/55.12 apply (zenon_or_s _ _ zenon_H262); [ zenon_intro zenon_H1ae | zenon_intro zenon_H263 ].
% 54.96/55.12 apply (zenon_L83_); trivial.
% 54.96/55.12 apply (zenon_or_s _ _ zenon_H263); [ zenon_intro zenon_H212 | zenon_intro zenon_H264 ].
% 54.96/55.12 apply (zenon_L169_); trivial.
% 54.96/55.12 apply (zenon_or_s _ _ zenon_H264); [ zenon_intro zenon_H220 | zenon_intro zenon_H265 ].
% 54.96/55.12 apply (zenon_L110_); trivial.
% 54.96/55.12 apply (zenon_or_s _ _ zenon_H265); [ zenon_intro zenon_H222 | zenon_intro zenon_H266 ].
% 54.96/55.12 apply (zenon_L111_); trivial.
% 54.96/55.12 apply (zenon_or_s _ _ zenon_H266); [ zenon_intro zenon_H225 | zenon_intro zenon_H267 ].
% 54.96/55.12 apply (zenon_L113_); trivial.
% 54.96/55.12 apply (zenon_or_s _ _ zenon_H267); [ zenon_intro zenon_H22d | zenon_intro zenon_H268 ].
% 54.96/55.12 apply (zenon_L114_); trivial.
% 54.96/55.12 apply (zenon_or_s _ _ zenon_H268); [ zenon_intro zenon_H230 | zenon_intro zenon_H269 ].
% 54.96/55.12 apply (zenon_L115_); trivial.
% 54.96/55.12 apply (zenon_or_s _ _ zenon_H269); [ zenon_intro zenon_H232 | zenon_intro zenon_H26a ].
% 54.96/55.12 apply (zenon_L116_); trivial.
% 54.96/55.12 apply (zenon_or_s _ _ zenon_H26a); [ zenon_intro zenon_H240 | zenon_intro zenon_H242 ].
% 54.96/55.12 apply (zenon_L166_); trivial.
% 54.96/55.12 apply (zenon_L125_); trivial.
% 54.96/55.12 apply (zenon_or_s _ _ zenon_H245); [ zenon_intro zenon_H147 | zenon_intro zenon_H254 ].
% 54.96/55.12 apply (zenon_L60_); trivial.
% 54.96/55.12 apply (zenon_or_s _ _ zenon_H254); [ zenon_intro zenon_H164 | zenon_intro zenon_H255 ].
% 54.96/55.12 apply (zenon_L66_); trivial.
% 54.96/55.12 apply (zenon_or_s _ _ zenon_H255); [ zenon_intro zenon_H197 | zenon_intro zenon_H256 ].
% 54.96/55.12 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_H18f. zenon_intro zenon_H198.
% 54.96/55.12 apply (zenon_and_s _ _ zenon_H198). zenon_intro zenon_H293. zenon_intro zenon_H227.
% 54.96/55.12 apply (zenon_and_s _ _ zenon_H227). zenon_intro zenon_H229. zenon_intro zenon_H228.
% 54.96/55.12 apply (zenon_and_s _ _ zenon_H228). zenon_intro zenon_H22b. zenon_intro zenon_H22a.
% 54.96/55.12 apply (zenon_and_s _ _ zenon_H22a). zenon_intro zenon_H224. zenon_intro zenon_H22c.
% 54.96/55.12 apply (zenon_or_s _ _ zenon_H22b); [ zenon_intro zenon_H23c | zenon_intro zenon_H23f ].
% 54.96/55.12 exact (zenon_H23c zenon_H202).
% 54.96/55.12 apply (zenon_or_s _ _ zenon_H224); [ zenon_intro zenon_H1d1 | zenon_intro zenon_H1d1 ].
% 54.96/55.12 apply (zenon_L726_); trivial.
% 54.96/55.12 apply (zenon_L726_); trivial.
% 54.96/55.12 apply (zenon_or_s _ _ zenon_H256); [ zenon_intro zenon_H199 | zenon_intro zenon_H257 ].
% 54.96/55.12 apply (zenon_L77_); trivial.
% 54.96/55.12 apply (zenon_or_s _ _ zenon_H257); [ zenon_intro zenon_H259 | zenon_intro zenon_H258 ].
% 54.96/55.12 apply (zenon_L661_); trivial.
% 54.96/55.12 apply (zenon_or_s _ _ zenon_H258); [ zenon_intro zenon_H1a5 | zenon_intro zenon_H262 ].
% 54.96/55.12 apply (zenon_L80_); trivial.
% 54.96/55.12 apply (zenon_or_s _ _ zenon_H262); [ zenon_intro zenon_H1ae | zenon_intro zenon_H263 ].
% 54.96/55.12 apply (zenon_L83_); trivial.
% 54.96/55.12 apply (zenon_or_s _ _ zenon_H263); [ zenon_intro zenon_H212 | zenon_intro zenon_H264 ].
% 54.96/55.12 apply (zenon_L167_); trivial.
% 54.96/55.12 apply (zenon_or_s _ _ zenon_H264); [ zenon_intro zenon_H220 | zenon_intro zenon_H265 ].
% 54.96/55.12 apply (zenon_L110_); trivial.
% 54.96/55.12 apply (zenon_or_s _ _ zenon_H265); [ zenon_intro zenon_H222 | zenon_intro zenon_H266 ].
% 54.96/55.12 apply (zenon_L111_); trivial.
% 54.96/55.12 apply (zenon_or_s _ _ zenon_H266); [ zenon_intro zenon_H225 | zenon_intro zenon_H267 ].
% 54.96/55.12 apply (zenon_L113_); trivial.
% 54.96/55.12 apply (zenon_or_s _ _ zenon_H267); [ zenon_intro zenon_H22d | zenon_intro zenon_H268 ].
% 54.96/55.12 apply (zenon_L114_); trivial.
% 54.96/55.12 apply (zenon_or_s _ _ zenon_H268); [ zenon_intro zenon_H230 | zenon_intro zenon_H269 ].
% 54.96/55.12 apply (zenon_L115_); trivial.
% 54.96/55.12 apply (zenon_or_s _ _ zenon_H269); [ zenon_intro zenon_H232 | zenon_intro zenon_H26a ].
% 54.96/55.12 apply (zenon_L116_); trivial.
% 54.96/55.12 apply (zenon_or_s _ _ zenon_H26a); [ zenon_intro zenon_H240 | zenon_intro zenon_H242 ].
% 54.96/55.12 apply (zenon_L166_); trivial.
% 54.96/55.12 apply (zenon_L125_); trivial.
% 54.96/55.12 apply (zenon_L532_); trivial.
% 54.96/55.12 apply (zenon_or_s _ _ zenon_H370); [ zenon_intro zenon_H335 | zenon_intro zenon_H363 ].
% 54.96/55.12 apply (zenon_L260_); trivial.
% 54.96/55.12 apply (zenon_L307_); trivial.
% 54.96/55.12 apply (zenon_L310_); trivial.
% 54.96/55.12 (* end of lemma zenon_L727_ *)
% 54.96/55.12 assert (zenon_L728_ : ((h2 (e10)) = (op2 (e21) (e21))) -> ((op1 (e12) (e10)) = (e10)) -> ((e20) = (op2 (e21) (e21))) -> (~((e20) = (h2 (op1 (e12) (e10))))) -> False).
% 54.96/55.12 do 0 intro. intros zenon_H26c zenon_H293 zenon_H33 zenon_H4d2.
% 54.96/55.12 elim (classic ((h2 (op1 (e12) (e10))) = (h2 (op1 (e12) (e10))))); [ zenon_intro zenon_H4d3 | zenon_intro zenon_H4d4 ].
% 54.96/55.12 cut (((h2 (op1 (e12) (e10))) = (h2 (op1 (e12) (e10)))) = ((e20) = (h2 (op1 (e12) (e10))))).
% 54.96/55.12 intro zenon_D_pnotp.
% 54.96/55.12 apply zenon_H4d2.
% 54.96/55.12 rewrite <- zenon_D_pnotp.
% 54.96/55.12 exact zenon_H4d3.
% 54.96/55.12 cut (((h2 (op1 (e12) (e10))) = (h2 (op1 (e12) (e10))))); [idtac | apply NNPP; zenon_intro zenon_H4d4].
% 54.96/55.12 cut (((h2 (op1 (e12) (e10))) = (e20))); [idtac | apply NNPP; zenon_intro zenon_H4d5].
% 54.96/55.12 congruence.
% 54.96/55.12 cut (((h2 (e10)) = (op2 (e21) (e21))) = ((h2 (op1 (e12) (e10))) = (e20))).
% 54.96/55.12 intro zenon_D_pnotp.
% 54.96/55.12 apply zenon_H4d5.
% 54.96/55.12 rewrite <- zenon_D_pnotp.
% 54.96/55.12 exact zenon_H26c.
% 54.96/55.12 cut (((op2 (e21) (e21)) = (e20))); [idtac | apply NNPP; zenon_intro zenon_H3c].
% 54.96/55.12 cut (((h2 (e10)) = (h2 (op1 (e12) (e10))))); [idtac | apply NNPP; zenon_intro zenon_H4d6].
% 54.96/55.12 congruence.
% 54.96/55.12 elim (classic ((h2 (op1 (e12) (e10))) = (h2 (op1 (e12) (e10))))); [ zenon_intro zenon_H4d3 | zenon_intro zenon_H4d4 ].
% 54.96/55.12 cut (((h2 (op1 (e12) (e10))) = (h2 (op1 (e12) (e10)))) = ((h2 (e10)) = (h2 (op1 (e12) (e10))))).
% 54.96/55.12 intro zenon_D_pnotp.
% 54.96/55.12 apply zenon_H4d6.
% 54.96/55.12 rewrite <- zenon_D_pnotp.
% 54.96/55.12 exact zenon_H4d3.
% 54.96/55.12 cut (((h2 (op1 (e12) (e10))) = (h2 (op1 (e12) (e10))))); [idtac | apply NNPP; zenon_intro zenon_H4d4].
% 54.96/55.12 cut (((h2 (op1 (e12) (e10))) = (h2 (e10)))); [idtac | apply NNPP; zenon_intro zenon_H4d7].
% 54.96/55.12 congruence.
% 54.96/55.12 cut (((op1 (e12) (e10)) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H4d8].
% 54.96/55.12 congruence.
% 54.96/55.12 exact (zenon_H4d8 zenon_H293).
% 54.96/55.12 apply zenon_H4d4. apply refl_equal.
% 54.96/55.12 apply zenon_H4d4. apply refl_equal.
% 54.96/55.12 apply zenon_H3c. apply sym_equal. exact zenon_H33.
% 54.96/55.12 apply zenon_H4d4. apply refl_equal.
% 54.96/55.12 apply zenon_H4d4. apply refl_equal.
% 54.96/55.12 (* end of lemma zenon_L728_ *)
% 54.96/55.12 assert (zenon_L729_ : ((op2 (e22) (e20)) = (e20)) -> ((h2 (e12)) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> ((e22) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> ((h2 (e10)) = (op2 (e21) (e21))) -> ((e20) = (op2 (e21) (e21))) -> ((op1 (e12) (e10)) = (e10)) -> (~((h2 (op1 (e12) (e10))) = (op2 (h2 (e12)) (h2 (e10))))) -> False).
% 54.96/55.12 do 0 intro. intros zenon_H121 zenon_H44f zenon_H3f zenon_H26c zenon_H33 zenon_H293 zenon_H4d9.
% 54.96/55.12 elim (classic ((op2 (h2 (e12)) (h2 (e10))) = (op2 (h2 (e12)) (h2 (e10))))); [ zenon_intro zenon_H4da | zenon_intro zenon_H4db ].
% 54.96/55.12 cut (((op2 (h2 (e12)) (h2 (e10))) = (op2 (h2 (e12)) (h2 (e10)))) = ((h2 (op1 (e12) (e10))) = (op2 (h2 (e12)) (h2 (e10))))).
% 54.96/55.12 intro zenon_D_pnotp.
% 54.96/55.12 apply zenon_H4d9.
% 54.96/55.12 rewrite <- zenon_D_pnotp.
% 54.96/55.12 exact zenon_H4da.
% 54.96/55.12 cut (((op2 (h2 (e12)) (h2 (e10))) = (op2 (h2 (e12)) (h2 (e10))))); [idtac | apply NNPP; zenon_intro zenon_H4db].
% 54.96/55.12 cut (((op2 (h2 (e12)) (h2 (e10))) = (h2 (op1 (e12) (e10))))); [idtac | apply NNPP; zenon_intro zenon_H4dc].
% 54.96/55.12 congruence.
% 54.96/55.12 cut (((op2 (e22) (e20)) = (e20)) = ((op2 (h2 (e12)) (h2 (e10))) = (h2 (op1 (e12) (e10))))).
% 54.96/55.12 intro zenon_D_pnotp.
% 54.96/55.12 apply zenon_H4dc.
% 54.96/55.12 rewrite <- zenon_D_pnotp.
% 54.96/55.12 exact zenon_H121.
% 54.96/55.12 cut (((e20) = (h2 (op1 (e12) (e10))))); [idtac | apply NNPP; zenon_intro zenon_H4d2].
% 54.96/55.12 cut (((op2 (e22) (e20)) = (op2 (h2 (e12)) (h2 (e10))))); [idtac | apply NNPP; zenon_intro zenon_H4dd].
% 54.96/55.12 congruence.
% 54.96/55.12 elim (classic ((op2 (h2 (e12)) (h2 (e10))) = (op2 (h2 (e12)) (h2 (e10))))); [ zenon_intro zenon_H4da | zenon_intro zenon_H4db ].
% 54.96/55.12 cut (((op2 (h2 (e12)) (h2 (e10))) = (op2 (h2 (e12)) (h2 (e10)))) = ((op2 (e22) (e20)) = (op2 (h2 (e12)) (h2 (e10))))).
% 54.96/55.12 intro zenon_D_pnotp.
% 54.96/55.12 apply zenon_H4dd.
% 54.96/55.12 rewrite <- zenon_D_pnotp.
% 54.96/55.12 exact zenon_H4da.
% 54.96/55.12 cut (((op2 (h2 (e12)) (h2 (e10))) = (op2 (h2 (e12)) (h2 (e10))))); [idtac | apply NNPP; zenon_intro zenon_H4db].
% 54.96/55.12 cut (((op2 (h2 (e12)) (h2 (e10))) = (op2 (e22) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H4de].
% 54.96/55.12 congruence.
% 54.96/55.12 cut (((h2 (e10)) = (e20))); [idtac | apply NNPP; zenon_intro zenon_H26b].
% 54.96/55.12 cut (((h2 (e12)) = (e22))); [idtac | apply NNPP; zenon_intro zenon_H44e].
% 54.96/55.12 congruence.
% 54.96/55.12 apply (zenon_L469_); trivial.
% 54.96/55.12 apply (zenon_L127_); trivial.
% 54.96/55.12 apply zenon_H4db. apply refl_equal.
% 54.96/55.12 apply zenon_H4db. apply refl_equal.
% 54.96/55.12 apply (zenon_L728_); trivial.
% 54.96/55.12 apply zenon_H4db. apply refl_equal.
% 54.96/55.12 apply zenon_H4db. apply refl_equal.
% 54.96/55.12 (* end of lemma zenon_L729_ *)
% 54.96/55.12 assert (zenon_L730_ : (((op1 (e10) (e12)) = (e10))/\(((op1 (e12) (e10)) = (e10))/\(((~((op1 (e12) (e10)) = (e12)))\/(~((op1 (e12) (e12)) = (e10))))/\(((~((op1 (e12) (e11)) = (e12)))\/(~((op1 (e12) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13))))))))) -> ((op2 (e22) (e20)) = (e20)) -> ((h2 (e12)) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> ((e22) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> ((h2 (e10)) = (op2 (e21) (e21))) -> ((e20) = (op2 (e21) (e21))) -> (~((h2 (op1 (e12) (e10))) = (op2 (h2 (e12)) (h2 (e10))))) -> False).
% 54.96/55.12 do 0 intro. intros zenon_H197 zenon_H121 zenon_H44f zenon_H3f zenon_H26c zenon_H33 zenon_H4d9.
% 54.96/55.12 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_H18f. zenon_intro zenon_H198.
% 54.96/55.12 apply (zenon_and_s _ _ zenon_H198). zenon_intro zenon_H293. zenon_intro zenon_H227.
% 54.96/55.12 apply (zenon_L729_); trivial.
% 54.96/55.12 (* end of lemma zenon_L730_ *)
% 54.96/55.12 assert (zenon_L731_ : (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (~((op1 (e10) (e10)) = (e10))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (~((h2 (op1 (e12) (e10))) = (op2 (h2 (e12)) (h2 (e10))))) -> ((e20) = (op2 (e21) (e21))) -> ((h2 (e10)) = (op2 (e21) (e21))) -> ((e22) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> ((h2 (e12)) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> ((op2 (e22) (e20)) = (e20)) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((e10) = (e12))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> ((e12) = (op1 (op1 (op1 (e11) (e11)) (op1 (e11) (e11))) (op1 (e11) (e11)))) -> ((e10) = (op1 (e11) (e11))) -> ((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> False).
% 54.96/55.12 do 0 intro. intros zenon_H4df zenon_H146 zenon_H14b zenon_H4d9 zenon_H33 zenon_H26c zenon_H3f zenon_H44f zenon_H121 zenon_H186 zenon_H16c zenon_H172 zenon_H179 zenon_H155 zenon_H13 zenon_H15 zenon_H180.
% 54.96/55.12 apply (zenon_or_s _ _ zenon_H4df); [ zenon_intro zenon_H145 | zenon_intro zenon_H4e0 ].
% 54.96/55.12 exact (zenon_H146 zenon_H145).
% 54.96/55.12 apply (zenon_or_s _ _ zenon_H4e0); [ zenon_intro zenon_H14c | zenon_intro zenon_H4e1 ].
% 54.96/55.12 apply (zenon_L61_); trivial.
% 54.96/55.12 apply (zenon_or_s _ _ zenon_H4e1); [ zenon_intro zenon_H293 | zenon_intro zenon_H16a ].
% 54.96/55.12 apply (zenon_L729_); trivial.
% 54.96/55.12 apply (zenon_L72_); trivial.
% 54.96/55.12 (* end of lemma zenon_L731_ *)
% 54.96/55.12 assert (zenon_L732_ : (((op1 (e11) (e10)) = (e11))/\(((op1 (e10) (e11)) = (e11))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11))))/\(((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12))))/\((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13))))))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> ((e10) = (op1 (e11) (e11))) -> (~((h2 (op1 (e12) (e10))) = (op2 (h2 (e12)) (h2 (e10))))) -> ((op2 (e22) (e20)) = (e20)) -> ((h2 (e12)) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> ((e22) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> ((h2 (e10)) = (op2 (e21) (e21))) -> ((e20) = (op2 (e21) (e21))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> ((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) -> ((e12) = (op1 (op1 (op1 (e11) (e11)) (op1 (e11) (e11))) (op1 (e11) (e11)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((e10) = (e12))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> False).
% 54.96/55.12 do 0 intro. intros zenon_H259 zenon_H14b zenon_H13 zenon_H4d9 zenon_H121 zenon_H44f zenon_H3f zenon_H26c zenon_H33 zenon_H186 zenon_H180 zenon_H179 zenon_H15 zenon_H155 zenon_H172 zenon_H16c zenon_H4df.
% 54.96/55.12 apply (zenon_and_s _ _ zenon_H259). zenon_intro zenon_H163. zenon_intro zenon_H25a.
% 54.96/55.12 apply (zenon_and_s _ _ zenon_H25a). zenon_intro zenon_H1fe. zenon_intro zenon_H149.
% 54.96/55.12 apply (zenon_and_s _ _ zenon_H149). zenon_intro zenon_H144. zenon_intro zenon_H14a.
% 54.96/55.12 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_H146 | zenon_intro zenon_H146 ].
% 54.96/55.12 apply (zenon_L731_); trivial.
% 54.96/55.12 apply (zenon_L731_); trivial.
% 54.96/55.12 (* end of lemma zenon_L732_ *)
% 54.96/55.12 assert (zenon_L733_ : ((((op1 (e10) (e10)) = (e10))/\(((op1 (e10) (e10)) = (e10))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11))))/\(((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12))))/\((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))))))))\/((((op1 (e10) (e11)) = (e10))/\(((op1 (e11) (e10)) = (e10))/\(((~((op1 (e11) (e10)) = (e11)))\/(~((op1 (e11) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e11) (e12)) = (e11)))\/(~((op1 (e11) (e11)) = (e12))))/\((~((op1 (e11) (e13)) = (e11)))\/(~((op1 (e11) (e11)) = (e13)))))))))\/((((op1 (e10) (e12)) = (e10))/\(((op1 (e12) (e10)) = (e10))/\(((~((op1 (e12) (e10)) = (e12)))\/(~((op1 (e12) (e12)) = (e10))))/\(((~((op1 (e12) (e11)) = (e12)))\/(~((op1 (e12) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13)))))))))\/((((op1 (e10) (e13)) = (e10))/\(((op1 (e13) (e10)) = (e10))/\(((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e13) (e13)) = (e10))))/\(((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11))))/\(((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e13) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13)))))))))\/((((op1 (e11) (e10)) = (e11))/\(((op1 (e10) (e11)) = (e11))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11))))/\(((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12))))/\((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))))))))\/((((op1 (e11) (e11)) = (e11))/\(((op1 (e11) (e11)) = (e11))/\(((~((op1 (e11) (e10)) = (e11)))\/(~((op1 (e11) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e11) (e12)) = (e11)))\/(~((op1 (e11) (e11)) = (e12))))/\((~((op1 (e11) (e13)) = (e11)))\/(~((op1 (e11) (e11)) = (e13)))))))))\/((((op1 (e11) (e12)) = (e11))/\(((op1 (e12) (e11)) = (e11))/\(((~((op1 (e12) (e10)) = (e12)))\/(~((op1 (e12) (e12)) = (e10))))/\(((~((op1 (e12) (e11)) = (e12)))\/(~((op1 (e12) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13)))))))))\/((((op1 (e11) (e13)) = (e11))/\(((op1 (e13) (e11)) = (e11))/\(((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e13) (e13)) = (e10))))/\(((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11))))/\(((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e13) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13)))))))))\/((((op1 (e12) (e10)) = (e12))/\(((op1 (e10) (e12)) = (e12))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11))))/\(((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12))))/\((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))))))))\/((((op1 (e12) (e11)) = (e12))/\(((op1 (e11) (e12)) = (e12))/\(((~((op1 (e11) (e10)) = (e11)))\/(~((op1 (e11) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e11) (e12)) = (e11)))\/(~((op1 (e11) (e11)) = (e12))))/\((~((op1 (e11) (e13)) = (e11)))\/(~((op1 (e11) (e11)) = (e13)))))))))\/((((op1 (e12) (e12)) = (e12))/\(((op1 (e12) (e12)) = (e12))/\(((~((op1 (e12) (e10)) = (e12)))\/(~((op1 (e12) (e12)) = (e10))))/\(((~((op1 (e12) (e11)) = (e12)))\/(~((op1 (e12) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13)))))))))\/((((op1 (e12) (e13)) = (e12))/\(((op1 (e13) (e12)) = (e12))/\(((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e13) (e13)) = (e10))))/\(((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11))))/\(((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e13) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13)))))))))\/((((op1 (e13) (e10)) = (e13))/\(((op1 (e10) (e13)) = (e13))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11))))/\(((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12))))/\((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))))))))\/((((op1 (e13) (e11)) = (e13))/\(((op1 (e11) (e13)) = (e13))/\(((~((op1 (e11) (e10)) = (e11)))\/(~((op1 (e11) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e11) (e12)) = (e11)))\/(~((op1 (e11) (e11)) = (e12))))/\((~((op1 (e11) (e13)) = (e11)))\/(~((op1 (e11) (e11)) = (e13)))))))))\/((((op1 (e13) (e12)) = (e13))/\(((op1 (e12) (e13)) = (e13))/\(((~((op1 (e12) (e10)) = (e12)))\/(~((op1 (e12) (e12)) = (e10))))/\(((~((op1 (e12) (e11)) = (e12)))\/(~((op1 (e12) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13)))))))))\/(((op1 (e13) (e13)) = (e13))/\(((op1 (e13) (e13)) = (e13))/\(((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e13) (e13)) = (e10))))/\(((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11))))/\(((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e13) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13)))))))))))))))))))))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (~((e10) = (e12))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> ((e20) = (op2 (e21) (e21))) -> ((h2 (e10)) = (op2 (e21) (e21))) -> ((e22) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> ((h2 (e12)) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> ((op2 (e22) (e20)) = (e20)) -> (~((h2 (op1 (e12) (e10))) = (op2 (h2 (e12)) (h2 (e10))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> ((op1 (e13) (e11)) = (e13)) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e12))\/((op1 (e11) (e10)) = (e13))))) -> ((e12) = (op1 (op1 (op1 (e11) (e11)) (op1 (e11) (e11))) (op1 (e11) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> ((op1 (e11) (op1 (e11) (e13))) = (e13)) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> ((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) -> ((e10) = (op1 (e11) (e11))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> False).
% 54.96/55.12 do 0 intro. intros zenon_H245 zenon_H4df zenon_H16c zenon_H172 zenon_H180 zenon_H186 zenon_H33 zenon_H26c zenon_H3f zenon_H44f zenon_H121 zenon_H4d9 zenon_H1a9 zenon_H1c3 zenon_H18a zenon_H21a zenon_H179 zenon_H25 zenon_H15f zenon_H155 zenon_H154 zenon_H14b zenon_H29e zenon_H2c0 zenon_H1f4 zenon_H15 zenon_H13 zenon_H2b9 zenon_H15a zenon_H2c2.
% 54.96/55.12 apply (zenon_or_s _ _ zenon_H245); [ zenon_intro zenon_H147 | zenon_intro zenon_H254 ].
% 54.96/55.12 apply (zenon_L60_); trivial.
% 54.96/55.12 apply (zenon_or_s _ _ zenon_H254); [ zenon_intro zenon_H164 | zenon_intro zenon_H255 ].
% 54.96/55.12 apply (zenon_L66_); trivial.
% 54.96/55.12 apply (zenon_or_s _ _ zenon_H255); [ zenon_intro zenon_H197 | zenon_intro zenon_H256 ].
% 54.96/55.12 apply (zenon_L730_); trivial.
% 54.96/55.12 apply (zenon_or_s _ _ zenon_H256); [ zenon_intro zenon_H199 | zenon_intro zenon_H257 ].
% 54.96/55.12 apply (zenon_L77_); trivial.
% 54.96/55.12 apply (zenon_or_s _ _ zenon_H257); [ zenon_intro zenon_H259 | zenon_intro zenon_H258 ].
% 54.96/55.12 apply (zenon_L732_); trivial.
% 54.96/55.12 apply (zenon_or_s _ _ zenon_H258); [ zenon_intro zenon_H1a5 | zenon_intro zenon_H262 ].
% 54.96/55.12 apply (zenon_L80_); trivial.
% 54.96/55.12 apply (zenon_or_s _ _ zenon_H262); [ zenon_intro zenon_H1ae | zenon_intro zenon_H263 ].
% 54.96/55.12 apply (zenon_L83_); trivial.
% 54.96/55.12 apply (zenon_or_s _ _ zenon_H263); [ zenon_intro zenon_H212 | zenon_intro zenon_H264 ].
% 54.96/55.12 apply (zenon_L167_); trivial.
% 54.96/55.12 apply (zenon_or_s _ _ zenon_H264); [ zenon_intro zenon_H220 | zenon_intro zenon_H265 ].
% 54.96/55.12 apply (zenon_L110_); trivial.
% 54.96/55.12 apply (zenon_or_s _ _ zenon_H265); [ zenon_intro zenon_H222 | zenon_intro zenon_H266 ].
% 54.96/55.12 apply (zenon_L111_); trivial.
% 54.96/55.12 apply (zenon_or_s _ _ zenon_H266); [ zenon_intro zenon_H225 | zenon_intro zenon_H267 ].
% 54.96/55.12 apply (zenon_L113_); trivial.
% 54.96/55.12 apply (zenon_or_s _ _ zenon_H267); [ zenon_intro zenon_H22d | zenon_intro zenon_H268 ].
% 54.96/55.12 apply (zenon_L114_); trivial.
% 54.96/55.12 apply (zenon_or_s _ _ zenon_H268); [ zenon_intro zenon_H230 | zenon_intro zenon_H269 ].
% 54.96/55.12 apply (zenon_L115_); trivial.
% 54.96/55.12 apply (zenon_or_s _ _ zenon_H269); [ zenon_intro zenon_H232 | zenon_intro zenon_H26a ].
% 54.96/55.12 apply (zenon_L116_); trivial.
% 54.96/55.12 apply (zenon_or_s _ _ zenon_H26a); [ zenon_intro zenon_H240 | zenon_intro zenon_H242 ].
% 54.96/55.12 apply (zenon_L166_); trivial.
% 54.96/55.12 apply (zenon_L125_); trivial.
% 54.96/55.12 (* end of lemma zenon_L733_ *)
% 54.96/55.12 assert (zenon_L734_ : (((op2 (e20) (e22)) = (e20))/\(((op2 (e22) (e20)) = (e20))/\(((~((op2 (e22) (e20)) = (e22)))\/(~((op2 (e22) (e22)) = (e20))))/\(((~((op2 (e22) (e21)) = (e22)))\/(~((op2 (e22) (e22)) = (e21))))/\(((~((op2 (e22) (e22)) = (e22)))\/(~((op2 (e22) (e22)) = (e22))))/\((~((op2 (e22) (e23)) = (e22)))\/(~((op2 (e22) (e22)) = (e23))))))))) -> ((((op1 (e10) (op1 (e10) (e10))) = (e10))/\(((op1 (e10) (op1 (e10) (e11))) = (e11))/\(((op1 (e10) (op1 (e10) (e12))) = (e12))/\(((op1 (e10) (op1 (e10) (e13))) = (e13))/\(((~((op1 (e10) (e10)) = (e10)))\/((op1 (e10) (e10)) = (e10)))/\(((~((op1 (e11) (e11)) = (e10)))\/((op1 (e11) (e10)) = (e11)))/\(((~((op1 (e12) (e12)) = (e10)))\/((op1 (e12) (e10)) = (e12)))/\((~((op1 (e13) (e13)) = (e10)))\/((op1 (e13) (e10)) = (e13))))))))))\/((((op1 (e11) (op1 (e11) (e10))) = (e10))/\(((op1 (e11) (op1 (e11) (e11))) = (e11))/\(((op1 (e11) (op1 (e11) (e12))) = (e12))/\(((op1 (e11) (op1 (e11) (e13))) = (e13))/\(((~((op1 (e10) (e10)) = (e11)))\/((op1 (e10) (e11)) = (e10)))/\(((~((op1 (e11) (e11)) = (e11)))\/((op1 (e11) (e11)) = (e11)))/\(((~((op1 (e12) (e12)) = (e11)))\/((op1 (e12) (e11)) = (e12)))/\((~((op1 (e13) (e13)) = (e11)))\/((op1 (e13) (e11)) = (e13))))))))))\/((((op1 (e12) (op1 (e12) (e10))) = (e10))/\(((op1 (e12) (op1 (e12) (e11))) = (e11))/\(((op1 (e12) (op1 (e12) (e12))) = (e12))/\(((op1 (e12) (op1 (e12) (e13))) = (e13))/\(((~((op1 (e10) (e10)) = (e12)))\/((op1 (e10) (e12)) = (e10)))/\(((~((op1 (e11) (e11)) = (e12)))\/((op1 (e11) (e12)) = (e11)))/\(((~((op1 (e12) (e12)) = (e12)))\/((op1 (e12) (e12)) = (e12)))/\((~((op1 (e13) (e13)) = (e12)))\/((op1 (e13) (e12)) = (e13))))))))))\/(((op1 (e13) (op1 (e13) (e10))) = (e10))/\(((op1 (e13) (op1 (e13) (e11))) = (e11))/\(((op1 (e13) (op1 (e13) (e12))) = (e12))/\(((op1 (e13) (op1 (e13) (e13))) = (e13))/\(((~((op1 (e10) (e10)) = (e13)))\/((op1 (e10) (e13)) = (e10)))/\(((~((op1 (e11) (e11)) = (e13)))\/((op1 (e11) (e13)) = (e11)))/\(((~((op1 (e12) (e12)) = (e13)))\/((op1 (e12) (e13)) = (e12)))/\((~((op1 (e13) (e13)) = (e13)))\/((op1 (e13) (e13)) = (e13))))))))))))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> ((e20) = (op2 (e21) (e21))) -> ((h2 (e10)) = (op2 (e21) (e21))) -> ((e22) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> ((h2 (e12)) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> (~((h2 (op1 (e12) (e10))) = (op2 (h2 (e12)) (h2 (e10))))) -> (~((e10) = (e12))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (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)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (((op1 (e10) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e12) (e11)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((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 (e11) (e11)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e12) (e13)) = (e10))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> ((((op1 (e10) (e10)) = (e10))/\(((op1 (e10) (e10)) = (e10))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11))))/\(((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12))))/\((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))))))))\/((((op1 (e10) (e11)) = (e10))/\(((op1 (e11) (e10)) = (e10))/\(((~((op1 (e11) (e10)) = (e11)))\/(~((op1 (e11) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e11) (e12)) = (e11)))\/(~((op1 (e11) (e11)) = (e12))))/\((~((op1 (e11) (e13)) = (e11)))\/(~((op1 (e11) (e11)) = (e13)))))))))\/((((op1 (e10) (e12)) = (e10))/\(((op1 (e12) (e10)) = (e10))/\(((~((op1 (e12) (e10)) = (e12)))\/(~((op1 (e12) (e12)) = (e10))))/\(((~((op1 (e12) (e11)) = (e12)))\/(~((op1 (e12) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13)))))))))\/((((op1 (e10) (e13)) = (e10))/\(((op1 (e13) (e10)) = (e10))/\(((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e13) (e13)) = (e10))))/\(((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11))))/\(((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e13) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13)))))))))\/((((op1 (e11) (e10)) = (e11))/\(((op1 (e10) (e11)) = (e11))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11))))/\(((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12))))/\((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))))))))\/((((op1 (e11) (e11)) = (e11))/\(((op1 (e11) (e11)) = (e11))/\(((~((op1 (e11) (e10)) = (e11)))\/(~((op1 (e11) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e11) (e12)) = (e11)))\/(~((op1 (e11) (e11)) = (e12))))/\((~((op1 (e11) (e13)) = (e11)))\/(~((op1 (e11) (e11)) = (e13)))))))))\/((((op1 (e11) (e12)) = (e11))/\(((op1 (e12) (e11)) = (e11))/\(((~((op1 (e12) (e10)) = (e12)))\/(~((op1 (e12) (e12)) = (e10))))/\(((~((op1 (e12) (e11)) = (e12)))\/(~((op1 (e12) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13)))))))))\/((((op1 (e11) (e13)) = (e11))/\(((op1 (e13) (e11)) = (e11))/\(((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e13) (e13)) = (e10))))/\(((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11))))/\(((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e13) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13)))))))))\/((((op1 (e12) (e10)) = (e12))/\(((op1 (e10) (e12)) = (e12))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11))))/\(((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12))))/\((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))))))))\/((((op1 (e12) (e11)) = (e12))/\(((op1 (e11) (e12)) = (e12))/\(((~((op1 (e11) (e10)) = (e11)))\/(~((op1 (e11) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e11) (e12)) = (e11)))\/(~((op1 (e11) (e11)) = (e12))))/\((~((op1 (e11) (e13)) = (e11)))\/(~((op1 (e11) (e11)) = (e13)))))))))\/((((op1 (e12) (e12)) = (e12))/\(((op1 (e12) (e12)) = (e12))/\(((~((op1 (e12) (e10)) = (e12)))\/(~((op1 (e12) (e12)) = (e10))))/\(((~((op1 (e12) (e11)) = (e12)))\/(~((op1 (e12) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13)))))))))\/((((op1 (e12) (e13)) = (e12))/\(((op1 (e13) (e12)) = (e12))/\(((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e13) (e13)) = (e10))))/\(((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11))))/\(((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e13) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13)))))))))\/((((op1 (e13) (e10)) = (e13))/\(((op1 (e10) (e13)) = (e13))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11))))/\(((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12))))/\((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))))))))\/((((op1 (e13) (e11)) = (e13))/\(((op1 (e11) (e13)) = (e13))/\(((~((op1 (e11) (e10)) = (e11)))\/(~((op1 (e11) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e11) (e12)) = (e11)))\/(~((op1 (e11) (e11)) = (e12))))/\((~((op1 (e11) (e13)) = (e11)))\/(~((op1 (e11) (e11)) = (e13)))))))))\/((((op1 (e13) (e12)) = (e13))/\(((op1 (e12) (e13)) = (e13))/\(((~((op1 (e12) (e10)) = (e12)))\/(~((op1 (e12) (e12)) = (e10))))/\(((~((op1 (e12) (e11)) = (e12)))\/(~((op1 (e12) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13)))))))))\/(((op1 (e13) (e13)) = (e13))/\(((op1 (e13) (e13)) = (e13))/\(((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e13) (e13)) = (e10))))/\(((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11))))/\(((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e13) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13)))))))))))))))))))))))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((e12) = (e13))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e13)) = (e10))\/(((op1 (e13) (e13)) = (e11))\/(((op1 (e13) (e13)) = (e12))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> ((e12) = (op1 (op1 (op1 (e11) (e11)) (op1 (e11) (e11))) (op1 (e11) (e11)))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e12))\/((op1 (e11) (e10)) = (e13))))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> ((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) -> ((e10) = (op1 (e11) (e11))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> False).
% 54.96/55.12 do 0 intro. intros zenon_H77 zenon_H36e zenon_H192 zenon_H1ed zenon_H1de zenon_H33 zenon_H26c zenon_H3f zenon_H44f zenon_H4d9 zenon_H16c zenon_H4df zenon_H2a5 zenon_H2b1 zenon_H1fa zenon_H1e8 zenon_H1f7 zenon_H32b zenon_H206 zenon_H32e zenon_H1a9 zenon_H246 zenon_H2fd zenon_H2c0 zenon_H2b9 zenon_H328 zenon_H325 zenon_H322 zenon_H1f4 zenon_H2c2 zenon_H321 zenon_H301 zenon_H30b zenon_H204 zenon_H30e zenon_H316 zenon_H19d zenon_H2ea zenon_H2e2 zenon_H2a3 zenon_H2e6 zenon_H2d9 zenon_H1cc zenon_H2d1 zenon_H245 zenon_H1d8 zenon_H1da zenon_H209 zenon_H358 zenon_H2c9 zenon_H355 zenon_H1fd zenon_H2f6 zenon_H23b zenon_H2ad zenon_H236 zenon_H2e7 zenon_H21a zenon_H313 zenon_H1be zenon_H345 zenon_H20c zenon_H1b1 zenon_H186 zenon_H180 zenon_H179 zenon_H172 zenon_H18e zenon_H14b zenon_H154 zenon_H155 zenon_H15a zenon_H15f zenon_H2fb zenon_H360 zenon_H2f8 zenon_H35d zenon_H18a zenon_H17 zenon_H15 zenon_H13 zenon_H1e zenon_H25 zenon_H1a0.
% 54.96/55.12 apply (zenon_and_s _ _ zenon_H77). zenon_intro zenon_H57. zenon_intro zenon_H78.
% 54.96/55.12 apply (zenon_and_s _ _ zenon_H78). zenon_intro zenon_H121. zenon_intro zenon_Hda.
% 54.96/55.12 apply (zenon_or_s _ _ zenon_H36e); [ zenon_intro zenon_H244 | zenon_intro zenon_H36f ].
% 54.96/55.12 apply (zenon_L126_); trivial.
% 54.96/55.12 apply (zenon_or_s _ _ zenon_H36f); [ zenon_intro zenon_H371 | zenon_intro zenon_H370 ].
% 54.96/55.12 apply (zenon_and_s _ _ zenon_H371). zenon_intro zenon_H292. zenon_intro zenon_H372.
% 54.96/55.12 apply (zenon_and_s _ _ zenon_H372). zenon_intro zenon_H2a6. zenon_intro zenon_H373.
% 54.96/55.12 apply (zenon_and_s _ _ zenon_H373). zenon_intro zenon_H375. zenon_intro zenon_H374.
% 54.96/55.12 apply (zenon_and_s _ _ zenon_H374). zenon_intro zenon_H29e. zenon_intro zenon_H376.
% 54.96/55.12 apply (zenon_and_s _ _ zenon_H376). zenon_intro zenon_H378. zenon_intro zenon_H377.
% 54.96/55.12 apply (zenon_and_s _ _ zenon_H377). zenon_intro zenon_H37a. zenon_intro zenon_H379.
% 54.96/55.12 apply (zenon_and_s _ _ zenon_H379). zenon_intro zenon_H37c. zenon_intro zenon_H37b.
% 54.96/55.12 apply (zenon_or_s _ _ zenon_H37c); [ zenon_intro zenon_H23f | zenon_intro zenon_H202 ].
% 54.96/55.12 apply (zenon_or_s _ _ zenon_H37b); [ zenon_intro zenon_H20d | zenon_intro zenon_H1c3 ].
% 54.96/55.12 apply (zenon_or_s _ _ zenon_H245); [ zenon_intro zenon_H147 | zenon_intro zenon_H254 ].
% 54.96/55.12 apply (zenon_L60_); trivial.
% 54.96/55.12 apply (zenon_or_s _ _ zenon_H254); [ zenon_intro zenon_H164 | zenon_intro zenon_H255 ].
% 54.96/55.12 apply (zenon_L66_); trivial.
% 54.96/55.12 apply (zenon_or_s _ _ zenon_H255); [ zenon_intro zenon_H197 | zenon_intro zenon_H256 ].
% 54.96/55.12 apply (zenon_L730_); trivial.
% 54.96/55.12 apply (zenon_or_s _ _ zenon_H256); [ zenon_intro zenon_H199 | zenon_intro zenon_H257 ].
% 54.96/55.12 apply (zenon_L77_); trivial.
% 54.96/55.12 apply (zenon_or_s _ _ zenon_H257); [ zenon_intro zenon_H259 | zenon_intro zenon_H258 ].
% 54.96/55.12 apply (zenon_L732_); trivial.
% 54.96/55.12 apply (zenon_or_s _ _ zenon_H258); [ zenon_intro zenon_H1a5 | zenon_intro zenon_H262 ].
% 54.96/55.12 apply (zenon_L80_); trivial.
% 54.96/55.12 apply (zenon_or_s _ _ zenon_H262); [ zenon_intro zenon_H1ae | zenon_intro zenon_H263 ].
% 54.96/55.12 apply (zenon_L83_); trivial.
% 54.96/55.12 apply (zenon_or_s _ _ zenon_H263); [ zenon_intro zenon_H212 | zenon_intro zenon_H264 ].
% 54.96/55.12 apply (zenon_L161_); trivial.
% 54.96/55.12 apply (zenon_or_s _ _ zenon_H264); [ zenon_intro zenon_H220 | zenon_intro zenon_H265 ].
% 54.96/55.12 apply (zenon_L110_); trivial.
% 54.96/55.12 apply (zenon_or_s _ _ zenon_H265); [ zenon_intro zenon_H222 | zenon_intro zenon_H266 ].
% 54.96/55.12 apply (zenon_L111_); trivial.
% 54.96/55.12 apply (zenon_or_s _ _ zenon_H266); [ zenon_intro zenon_H225 | zenon_intro zenon_H267 ].
% 54.96/55.12 apply (zenon_L113_); trivial.
% 54.96/55.12 apply (zenon_or_s _ _ zenon_H267); [ zenon_intro zenon_H22d | zenon_intro zenon_H268 ].
% 54.96/55.12 apply (zenon_L114_); trivial.
% 54.96/55.12 apply (zenon_or_s _ _ zenon_H268); [ zenon_intro zenon_H230 | zenon_intro zenon_H269 ].
% 54.96/55.12 apply (zenon_L115_); trivial.
% 54.96/55.12 apply (zenon_or_s _ _ zenon_H269); [ zenon_intro zenon_H232 | zenon_intro zenon_H26a ].
% 54.96/55.12 apply (zenon_L116_); trivial.
% 54.96/55.12 apply (zenon_or_s _ _ zenon_H26a); [ zenon_intro zenon_H240 | zenon_intro zenon_H242 ].
% 54.96/55.12 apply (zenon_L166_); trivial.
% 54.96/55.12 apply (zenon_L125_); trivial.
% 54.96/55.12 apply (zenon_L733_); trivial.
% 54.96/55.12 apply (zenon_or_s _ _ zenon_H245); [ zenon_intro zenon_H147 | zenon_intro zenon_H254 ].
% 54.96/55.12 apply (zenon_L60_); trivial.
% 54.96/55.12 apply (zenon_or_s _ _ zenon_H254); [ zenon_intro zenon_H164 | zenon_intro zenon_H255 ].
% 54.96/55.12 apply (zenon_L66_); trivial.
% 54.96/55.12 apply (zenon_or_s _ _ zenon_H255); [ zenon_intro zenon_H197 | zenon_intro zenon_H256 ].
% 54.96/55.12 apply (zenon_L730_); trivial.
% 54.96/55.12 apply (zenon_or_s _ _ zenon_H256); [ zenon_intro zenon_H199 | zenon_intro zenon_H257 ].
% 54.96/55.12 apply (zenon_L77_); trivial.
% 54.96/55.12 apply (zenon_or_s _ _ zenon_H257); [ zenon_intro zenon_H259 | zenon_intro zenon_H258 ].
% 54.96/55.12 apply (zenon_L732_); trivial.
% 54.96/55.12 apply (zenon_or_s _ _ zenon_H258); [ zenon_intro zenon_H1a5 | zenon_intro zenon_H262 ].
% 54.96/55.12 apply (zenon_L80_); trivial.
% 54.96/55.12 apply (zenon_or_s _ _ zenon_H262); [ zenon_intro zenon_H1ae | zenon_intro zenon_H263 ].
% 54.96/55.12 apply (zenon_L83_); trivial.
% 54.96/55.12 apply (zenon_or_s _ _ zenon_H263); [ zenon_intro zenon_H212 | zenon_intro zenon_H264 ].
% 54.96/55.12 apply (zenon_L169_); trivial.
% 54.96/55.12 apply (zenon_or_s _ _ zenon_H264); [ zenon_intro zenon_H220 | zenon_intro zenon_H265 ].
% 54.96/55.12 apply (zenon_L110_); trivial.
% 54.96/55.12 apply (zenon_or_s _ _ zenon_H265); [ zenon_intro zenon_H222 | zenon_intro zenon_H266 ].
% 54.96/55.12 apply (zenon_L111_); trivial.
% 54.96/55.12 apply (zenon_or_s _ _ zenon_H266); [ zenon_intro zenon_H225 | zenon_intro zenon_H267 ].
% 54.96/55.12 apply (zenon_L113_); trivial.
% 54.96/55.12 apply (zenon_or_s _ _ zenon_H267); [ zenon_intro zenon_H22d | zenon_intro zenon_H268 ].
% 54.96/55.12 apply (zenon_L114_); trivial.
% 54.96/55.12 apply (zenon_or_s _ _ zenon_H268); [ zenon_intro zenon_H230 | zenon_intro zenon_H269 ].
% 54.96/55.12 apply (zenon_L115_); trivial.
% 54.96/55.12 apply (zenon_or_s _ _ zenon_H269); [ zenon_intro zenon_H232 | zenon_intro zenon_H26a ].
% 54.96/55.12 apply (zenon_L116_); trivial.
% 54.96/55.12 apply (zenon_or_s _ _ zenon_H26a); [ zenon_intro zenon_H240 | zenon_intro zenon_H242 ].
% 54.96/55.12 apply (zenon_L166_); trivial.
% 54.96/55.12 apply (zenon_L125_); trivial.
% 54.96/55.12 apply (zenon_or_s _ _ zenon_H370); [ zenon_intro zenon_H335 | zenon_intro zenon_H363 ].
% 54.96/55.12 apply (zenon_L260_); trivial.
% 54.96/55.12 apply (zenon_L307_); trivial.
% 54.96/55.12 (* end of lemma zenon_L734_ *)
% 54.96/55.12 assert (zenon_L735_ : ((op2 (e23) (e20)) = (e20)) -> ((op2 (e23) (e20)) = (e22)) -> (~((e20) = (e22))) -> False).
% 54.96/55.12 do 0 intro. intros zenon_H80 zenon_H58 zenon_H4e2.
% 54.96/55.12 elim (classic ((e22) = (e22))); [ zenon_intro zenon_H4e3 | zenon_intro zenon_Hea ].
% 54.96/55.12 cut (((e22) = (e22)) = ((e20) = (e22))).
% 54.96/55.12 intro zenon_D_pnotp.
% 54.96/55.12 apply zenon_H4e2.
% 54.96/55.12 rewrite <- zenon_D_pnotp.
% 54.96/55.12 exact zenon_H4e3.
% 54.96/55.12 cut (((e22) = (e22))); [idtac | apply NNPP; zenon_intro zenon_Hea].
% 54.96/55.12 cut (((e22) = (e20))); [idtac | apply NNPP; zenon_intro zenon_H4e4].
% 54.96/55.12 congruence.
% 54.96/55.12 cut (((op2 (e23) (e20)) = (e20)) = ((e22) = (e20))).
% 54.96/55.12 intro zenon_D_pnotp.
% 54.96/55.12 apply zenon_H4e4.
% 54.96/55.12 rewrite <- zenon_D_pnotp.
% 54.96/55.12 exact zenon_H80.
% 54.96/55.12 cut (((e20) = (e20))); [idtac | apply NNPP; zenon_intro zenon_H54].
% 54.96/55.12 cut (((op2 (e23) (e20)) = (e22))); [idtac | apply NNPP; zenon_intro zenon_H4e5].
% 54.96/55.12 congruence.
% 54.96/55.12 exact (zenon_H4e5 zenon_H58).
% 54.96/55.12 apply zenon_H54. apply refl_equal.
% 54.96/55.12 apply zenon_Hea. apply refl_equal.
% 54.96/55.12 apply zenon_Hea. apply refl_equal.
% 54.96/55.12 (* end of lemma zenon_L735_ *)
% 54.96/55.12 assert (zenon_L736_ : (((op2 (e23) (e20)) = (e22))\/(((op2 (e23) (e21)) = (e22))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((e20) = (e22))) -> ((op2 (e23) (e20)) = (e20)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> ((e22) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> ((e20) = (op2 (e21) (e21))) -> ((e23) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> False).
% 54.96/55.12 do 0 intro. intros zenon_H74 zenon_H4e2 zenon_H80 zenon_H60 zenon_H67 zenon_H3f zenon_H33 zenon_H3b zenon_H6e.
% 54.96/55.12 apply (zenon_or_s _ _ zenon_H74); [ zenon_intro zenon_H58 | zenon_intro zenon_H75 ].
% 54.96/55.12 apply (zenon_L735_); trivial.
% 54.96/55.12 apply (zenon_or_s _ _ zenon_H75); [ zenon_intro zenon_H5f | zenon_intro zenon_H76 ].
% 54.96/55.12 apply (zenon_L15_); trivial.
% 54.96/55.12 apply (zenon_or_s _ _ zenon_H76); [ zenon_intro zenon_H66 | zenon_intro zenon_H6d ].
% 54.96/55.12 apply (zenon_L16_); trivial.
% 54.96/55.12 apply (zenon_L17_); trivial.
% 54.96/55.12 (* end of lemma zenon_L736_ *)
% 54.96/55.12 assert (zenon_L737_ : (((op1 (e10) (e12)) = (e10))/\(((op1 (e12) (e10)) = (e10))/\(((~((op1 (e12) (e10)) = (e12)))\/(~((op1 (e12) (e12)) = (e10))))/\(((~((op1 (e12) (e11)) = (e12)))\/(~((op1 (e12) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13))))))))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e20)) = (e20))\/(((op2 (e22) (e20)) = (e20))\/((op2 (e23) (e20)) = (e20))))) -> (~((op2 (e20) (e20)) = (e20))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> (~((h2 (op1 (e12) (e10))) = (op2 (h2 (e12)) (h2 (e10))))) -> ((h2 (e10)) = (op2 (e21) (e21))) -> ((h2 (e12)) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> (((op2 (e23) (e20)) = (e22))\/(((op2 (e23) (e21)) = (e22))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((e20) = (e22))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> ((e22) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> ((e20) = (op2 (e21) (e21))) -> ((e23) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> False).
% 54.96/55.12 do 0 intro. intros zenon_H197 zenon_H4e6 zenon_H31 zenon_H32 zenon_H4d9 zenon_H26c zenon_H44f zenon_H74 zenon_H4e2 zenon_H60 zenon_H67 zenon_H3f zenon_H33 zenon_H3b zenon_H6e.
% 54.96/55.12 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_H18f. zenon_intro zenon_H198.
% 54.96/55.12 apply (zenon_and_s _ _ zenon_H198). zenon_intro zenon_H293. zenon_intro zenon_H227.
% 54.96/55.12 apply (zenon_or_s _ _ zenon_H4e6); [ zenon_intro zenon_H2d | zenon_intro zenon_H4e7 ].
% 54.96/55.12 exact (zenon_H31 zenon_H2d).
% 54.96/55.12 apply (zenon_or_s _ _ zenon_H4e7); [ zenon_intro zenon_H34 | zenon_intro zenon_H4e8 ].
% 54.96/55.12 apply (zenon_L6_); trivial.
% 54.96/55.12 apply (zenon_or_s _ _ zenon_H4e8); [ zenon_intro zenon_H121 | zenon_intro zenon_H80 ].
% 54.96/55.12 apply (zenon_L729_); trivial.
% 54.96/55.12 apply (zenon_L736_); trivial.
% 54.96/55.12 (* end of lemma zenon_L737_ *)
% 54.96/55.12 assert (zenon_L738_ : (((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)))) -> ((e23) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((e20) = (op2 (e21) (e21))) -> ((e22) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> ((op2 (e23) (e20)) = (e20)) -> (~((e20) = (e22))) -> False).
% 54.96/55.12 do 0 intro. intros zenon_Hb7 zenon_Hbd zenon_H3e zenon_H3b zenon_H33 zenon_H3f zenon_Hb0 zenon_H80 zenon_H4e2.
% 54.96/55.12 apply (zenon_or_s _ _ zenon_Hb7); [ zenon_intro zenon_Hbf | zenon_intro zenon_Hbe ].
% 54.96/55.12 exact (zenon_Hbd zenon_Hbf).
% 54.96/55.12 apply (zenon_or_s _ _ zenon_Hbe); [ zenon_intro zenon_H40 | zenon_intro zenon_Hc0 ].
% 54.96/55.12 apply (zenon_L8_); trivial.
% 54.96/55.12 apply (zenon_or_s _ _ zenon_Hc0); [ zenon_intro zenon_Hb1 | zenon_intro zenon_H58 ].
% 54.96/55.12 apply (zenon_L30_); trivial.
% 54.96/55.12 apply (zenon_L735_); trivial.
% 54.96/55.12 (* end of lemma zenon_L738_ *)
% 54.96/55.12 assert (zenon_L739_ : (((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e20)) = (e20))\/(((op2 (e22) (e20)) = (e20))\/((op2 (e23) (e20)) = (e20))))) -> (~((op2 (e20) (e20)) = (e20))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> ((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) -> ((e10) = (op1 (e11) (e11))) -> ((e12) = (op1 (op1 (op1 (e11) (e11)) (op1 (e11) (e11))) (op1 (e11) (e11)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((e10) = (e12))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> ((h2 (e12)) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> ((h2 (e10)) = (op2 (e21) (e21))) -> (~((h2 (op1 (e12) (e10))) = (op2 (h2 (e12)) (h2 (e10))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (~((op1 (e10) (e10)) = (e10))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (((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)))) -> ((e23) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((e20) = (op2 (e21) (e21))) -> ((e22) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> (~((e20) = (e22))) -> False).
% 54.96/55.12 do 0 intro. intros zenon_H4e6 zenon_H31 zenon_H32 zenon_H180 zenon_H15 zenon_H13 zenon_H155 zenon_H179 zenon_H172 zenon_H16c zenon_H186 zenon_H44f zenon_H26c zenon_H4d9 zenon_H14b zenon_H146 zenon_H4df zenon_Hb7 zenon_Hbd zenon_H3e zenon_H3b zenon_H33 zenon_H3f zenon_Hb0 zenon_H4e2.
% 54.96/55.12 apply (zenon_or_s _ _ zenon_H4e6); [ zenon_intro zenon_H2d | zenon_intro zenon_H4e7 ].
% 54.96/55.12 exact (zenon_H31 zenon_H2d).
% 54.96/55.12 apply (zenon_or_s _ _ zenon_H4e7); [ zenon_intro zenon_H34 | zenon_intro zenon_H4e8 ].
% 54.96/55.12 apply (zenon_L6_); trivial.
% 54.96/55.12 apply (zenon_or_s _ _ zenon_H4e8); [ zenon_intro zenon_H121 | zenon_intro zenon_H80 ].
% 54.96/55.12 apply (zenon_L731_); trivial.
% 54.96/55.12 apply (zenon_L738_); trivial.
% 54.96/55.12 (* end of lemma zenon_L739_ *)
% 54.96/55.12 assert (zenon_L740_ : (((op1 (e11) (e10)) = (e11))/\(((op1 (e10) (e11)) = (e11))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11))))/\(((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12))))/\((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13))))))))) -> (~((op2 (e20) (e20)) = (e20))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> ((e20) = (op2 (e21) (e21))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (~((e10) = (e12))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> ((e12) = (op1 (op1 (op1 (e11) (e11)) (op1 (e11) (e11))) (op1 (e11) (e11)))) -> ((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> ((h2 (e10)) = (op2 (e21) (e21))) -> ((e22) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> ((h2 (e12)) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> (~((h2 (op1 (e12) (e10))) = (op2 (h2 (e12)) (h2 (e10))))) -> ((e10) = (op1 (e11) (e11))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op2 (e20) (e20)) = (e22))\/(((op2 (e21) (e20)) = (e22))\/(((op2 (e22) (e20)) = (e22))\/((op2 (e23) (e20)) = (e22))))) -> (~((e20) = (e22))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> ((e23) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e20) (e20)) = (e22))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e20)) = (e20))\/(((op2 (e22) (e20)) = (e20))\/((op2 (e23) (e20)) = (e20))))) -> False).
% 54.96/55.13 do 0 intro. intros zenon_H259 zenon_H31 zenon_H32 zenon_H33 zenon_H4df zenon_H16c zenon_H172 zenon_H155 zenon_H15 zenon_H179 zenon_H180 zenon_H186 zenon_H26c zenon_H3f zenon_H44f zenon_H4d9 zenon_H13 zenon_H14b zenon_Hb7 zenon_H4e2 zenon_Hb0 zenon_H3b zenon_H3e zenon_Hbd zenon_H4e6.
% 54.96/55.13 apply (zenon_and_s _ _ zenon_H259). zenon_intro zenon_H163. zenon_intro zenon_H25a.
% 54.96/55.13 apply (zenon_and_s _ _ zenon_H25a). zenon_intro zenon_H1fe. zenon_intro zenon_H149.
% 54.96/55.13 apply (zenon_and_s _ _ zenon_H149). zenon_intro zenon_H144. zenon_intro zenon_H14a.
% 54.96/55.13 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_H146 | zenon_intro zenon_H146 ].
% 54.96/55.13 apply (zenon_L739_); trivial.
% 54.96/55.13 apply (zenon_L739_); trivial.
% 54.96/55.13 (* end of lemma zenon_L740_ *)
% 54.96/55.13 assert (zenon_L741_ : ((~((op2 (e20) (e22)) = (e20)))\/(~((op2 (e20) (e20)) = (e22)))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e12))\/((op1 (e11) (e10)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> ((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) -> ((e12) = (op1 (op1 (op1 (e11) (e11)) (op1 (e11) (e11))) (op1 (e11) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((e10) = (e12))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e11)) = (e12))\/((op1 (e10) (e11)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (((op1 (e13) (e13)) = (e10))\/(((op1 (e13) (e13)) = (e11))\/(((op1 (e13) (e13)) = (e12))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (~((e12) = (e13))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> ((((op1 (e10) (e10)) = (e10))/\(((op1 (e10) (e10)) = (e10))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11))))/\(((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12))))/\((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))))))))\/((((op1 (e10) (e11)) = (e10))/\(((op1 (e11) (e10)) = (e10))/\(((~((op1 (e11) (e10)) = (e11)))\/(~((op1 (e11) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e11) (e12)) = (e11)))\/(~((op1 (e11) (e11)) = (e12))))/\((~((op1 (e11) (e13)) = (e11)))\/(~((op1 (e11) (e11)) = (e13)))))))))\/((((op1 (e10) (e12)) = (e10))/\(((op1 (e12) (e10)) = (e10))/\(((~((op1 (e12) (e10)) = (e12)))\/(~((op1 (e12) (e12)) = (e10))))/\(((~((op1 (e12) (e11)) = (e12)))\/(~((op1 (e12) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13)))))))))\/((((op1 (e10) (e13)) = (e10))/\(((op1 (e13) (e10)) = (e10))/\(((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e13) (e13)) = (e10))))/\(((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11))))/\(((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e13) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13)))))))))\/((((op1 (e11) (e10)) = (e11))/\(((op1 (e10) (e11)) = (e11))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11))))/\(((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12))))/\((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))))))))\/((((op1 (e11) (e11)) = (e11))/\(((op1 (e11) (e11)) = (e11))/\(((~((op1 (e11) (e10)) = (e11)))\/(~((op1 (e11) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e11) (e12)) = (e11)))\/(~((op1 (e11) (e11)) = (e12))))/\((~((op1 (e11) (e13)) = (e11)))\/(~((op1 (e11) (e11)) = (e13)))))))))\/((((op1 (e11) (e12)) = (e11))/\(((op1 (e12) (e11)) = (e11))/\(((~((op1 (e12) (e10)) = (e12)))\/(~((op1 (e12) (e12)) = (e10))))/\(((~((op1 (e12) (e11)) = (e12)))\/(~((op1 (e12) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13)))))))))\/((((op1 (e11) (e13)) = (e11))/\(((op1 (e13) (e11)) = (e11))/\(((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e13) (e13)) = (e10))))/\(((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11))))/\(((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e13) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13)))))))))\/((((op1 (e12) (e10)) = (e12))/\(((op1 (e10) (e12)) = (e12))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11))))/\(((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12))))/\((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))))))))\/((((op1 (e12) (e11)) = (e12))/\(((op1 (e11) (e12)) = (e12))/\(((~((op1 (e11) (e10)) = (e11)))\/(~((op1 (e11) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e11) (e12)) = (e11)))\/(~((op1 (e11) (e11)) = (e12))))/\((~((op1 (e11) (e13)) = (e11)))\/(~((op1 (e11) (e11)) = (e13)))))))))\/((((op1 (e12) (e12)) = (e12))/\(((op1 (e12) (e12)) = (e12))/\(((~((op1 (e12) (e10)) = (e12)))\/(~((op1 (e12) (e12)) = (e10))))/\(((~((op1 (e12) (e11)) = (e12)))\/(~((op1 (e12) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13)))))))))\/((((op1 (e12) (e13)) = (e12))/\(((op1 (e13) (e12)) = (e12))/\(((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e13) (e13)) = (e10))))/\(((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11))))/\(((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e13) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13)))))))))\/((((op1 (e13) (e10)) = (e13))/\(((op1 (e10) (e13)) = (e13))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11))))/\(((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12))))/\((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))))))))\/((((op1 (e13) (e11)) = (e13))/\(((op1 (e11) (e13)) = (e13))/\(((~((op1 (e11) (e10)) = (e11)))\/(~((op1 (e11) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e11) (e12)) = (e11)))\/(~((op1 (e11) (e11)) = (e12))))/\((~((op1 (e11) (e13)) = (e11)))\/(~((op1 (e11) (e11)) = (e13)))))))))\/((((op1 (e13) (e12)) = (e13))/\(((op1 (e12) (e13)) = (e13))/\(((~((op1 (e12) (e10)) = (e12)))\/(~((op1 (e12) (e12)) = (e10))))/\(((~((op1 (e12) (e11)) = (e12)))\/(~((op1 (e12) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13)))))))))\/(((op1 (e13) (e13)) = (e13))/\(((op1 (e13) (e13)) = (e13))/\(((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e13) (e13)) = (e10))))/\(((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11))))/\(((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e13) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13)))))))))))))))))))))))) -> ((e10) = (op1 (e11) (e11))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> (~((h2 (op1 (e12) (e10))) = (op2 (h2 (e12)) (h2 (e10))))) -> ((h2 (e12)) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> ((e22) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> ((h2 (e10)) = (op2 (e21) (e21))) -> (((op2 (e23) (e20)) = (e22))\/(((op2 (e23) (e21)) = (e22))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((e20) = (e22))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e20)) = (e20))\/(((op2 (e22) (e20)) = (e20))\/((op2 (e23) (e20)) = (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))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (((op1 (e10) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e12) (e11)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e12) (e13)) = (e10))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> ((((op1 (e10) (op1 (e10) (e10))) = (e10))/\(((op1 (e10) (op1 (e10) (e11))) = (e11))/\(((op1 (e10) (op1 (e10) (e12))) = (e12))/\(((op1 (e10) (op1 (e10) (e13))) = (e13))/\(((~((op1 (e10) (e10)) = (e10)))\/((op1 (e10) (e10)) = (e10)))/\(((~((op1 (e11) (e11)) = (e10)))\/((op1 (e11) (e10)) = (e11)))/\(((~((op1 (e12) (e12)) = (e10)))\/((op1 (e12) (e10)) = (e12)))/\((~((op1 (e13) (e13)) = (e10)))\/((op1 (e13) (e10)) = (e13))))))))))\/((((op1 (e11) (op1 (e11) (e10))) = (e10))/\(((op1 (e11) (op1 (e11) (e11))) = (e11))/\(((op1 (e11) (op1 (e11) (e12))) = (e12))/\(((op1 (e11) (op1 (e11) (e13))) = (e13))/\(((~((op1 (e10) (e10)) = (e11)))\/((op1 (e10) (e11)) = (e10)))/\(((~((op1 (e11) (e11)) = (e11)))\/((op1 (e11) (e11)) = (e11)))/\(((~((op1 (e12) (e12)) = (e11)))\/((op1 (e12) (e11)) = (e12)))/\((~((op1 (e13) (e13)) = (e11)))\/((op1 (e13) (e11)) = (e13))))))))))\/((((op1 (e12) (op1 (e12) (e10))) = (e10))/\(((op1 (e12) (op1 (e12) (e11))) = (e11))/\(((op1 (e12) (op1 (e12) (e12))) = (e12))/\(((op1 (e12) (op1 (e12) (e13))) = (e13))/\(((~((op1 (e10) (e10)) = (e12)))\/((op1 (e10) (e12)) = (e10)))/\(((~((op1 (e11) (e11)) = (e12)))\/((op1 (e11) (e12)) = (e11)))/\(((~((op1 (e12) (e12)) = (e12)))\/((op1 (e12) (e12)) = (e12)))/\((~((op1 (e13) (e13)) = (e12)))\/((op1 (e13) (e12)) = (e13))))))))))\/(((op1 (e13) (op1 (e13) (e10))) = (e10))/\(((op1 (e13) (op1 (e13) (e11))) = (e11))/\(((op1 (e13) (op1 (e13) (e12))) = (e12))/\(((op1 (e13) (op1 (e13) (e13))) = (e13))/\(((~((op1 (e10) (e10)) = (e13)))\/((op1 (e10) (e13)) = (e10)))/\(((~((op1 (e11) (e11)) = (e13)))\/((op1 (e11) (e13)) = (e11)))/\(((~((op1 (e12) (e12)) = (e13)))\/((op1 (e12) (e13)) = (e12)))/\((~((op1 (e13) (e13)) = (e13)))\/((op1 (e13) (e13)) = (e13))))))))))))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e20) (e21)) = (e20))\/(((op2 (e20) (e22)) = (e20))\/((op2 (e20) (e23)) = (e20))))) -> ((e20) = (op2 (e21) (e21))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> (~((op2 (e20) (e20)) = (e20))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e20) (e21)) = (e23))\/(((op2 (e20) (e22)) = (e23))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e22)))) -> ((e23) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> ((~((op2 (e20) (e23)) = (e20)))\/(~((op2 (e20) (e20)) = (e23)))) -> False).
% 54.96/55.13 do 0 intro. intros zenon_Hbc zenon_H15f zenon_H15a zenon_H15 zenon_H155 zenon_H154 zenon_H14b zenon_H186 zenon_H180 zenon_H179 zenon_H172 zenon_H16c zenon_H18a zenon_H18e zenon_H192 zenon_H246 zenon_H19d zenon_H1a0 zenon_H25 zenon_H1e zenon_H17 zenon_H1a9 zenon_H209 zenon_H206 zenon_H204 zenon_H1fd zenon_H1fa zenon_H1f7 zenon_H1f4 zenon_H1ed zenon_H1e8 zenon_H1da zenon_H1d8 zenon_H1cc zenon_H1de zenon_H1b1 zenon_H1be zenon_H20c zenon_H21a zenon_H236 zenon_H23b zenon_H245 zenon_H13 zenon_H32 zenon_H4d9 zenon_H44f zenon_H3f zenon_H26c zenon_H74 zenon_H6e zenon_H67 zenon_H60 zenon_H4e2 zenon_H4e6 zenon_H3e zenon_Hb0 zenon_Hb7 zenon_H4df zenon_H2a3 zenon_H2a5 zenon_H2ad zenon_H2b1 zenon_H2b9 zenon_H2c0 zenon_H2c2 zenon_H32b zenon_H32e zenon_H2fd zenon_H2fb zenon_H2f6 zenon_H2f8 zenon_H328 zenon_H325 zenon_H322 zenon_H321 zenon_H301 zenon_H30b zenon_H30e zenon_H313 zenon_H316 zenon_H2ea zenon_H2e2 zenon_H2e6 zenon_H2e7 zenon_H2d9 zenon_H2c9 zenon_H2d1 zenon_H35d zenon_H360 zenon_H345 zenon_H355 zenon_H358 zenon_H36e zenon_Hac zenon_H33 zenon_H8d zenon_H31 zenon_Ha5 zenon_H9f zenon_H98 zenon_H3b zenon_H93 zenon_Haa.
% 54.96/55.13 apply (zenon_or_s _ _ zenon_Hbc); [ zenon_intro zenon_Hab | zenon_intro zenon_Hbd ].
% 54.96/55.13 apply (zenon_L29_); trivial.
% 54.96/55.13 apply (zenon_or_s _ _ zenon_H36e); [ zenon_intro zenon_H244 | zenon_intro zenon_H36f ].
% 54.96/55.13 apply (zenon_L126_); trivial.
% 54.96/55.13 apply (zenon_or_s _ _ zenon_H36f); [ zenon_intro zenon_H371 | zenon_intro zenon_H370 ].
% 54.96/55.13 apply (zenon_and_s _ _ zenon_H371). zenon_intro zenon_H292. zenon_intro zenon_H372.
% 54.96/55.13 apply (zenon_and_s _ _ zenon_H372). zenon_intro zenon_H2a6. zenon_intro zenon_H373.
% 54.96/55.13 apply (zenon_and_s _ _ zenon_H373). zenon_intro zenon_H375. zenon_intro zenon_H374.
% 54.96/55.13 apply (zenon_and_s _ _ zenon_H374). zenon_intro zenon_H29e. zenon_intro zenon_H376.
% 54.96/55.13 apply (zenon_and_s _ _ zenon_H376). zenon_intro zenon_H378. zenon_intro zenon_H377.
% 54.96/55.13 apply (zenon_and_s _ _ zenon_H377). zenon_intro zenon_H37a. zenon_intro zenon_H379.
% 54.96/55.13 apply (zenon_and_s _ _ zenon_H379). zenon_intro zenon_H37c. zenon_intro zenon_H37b.
% 54.96/55.13 apply (zenon_or_s _ _ zenon_H37c); [ zenon_intro zenon_H23f | zenon_intro zenon_H202 ].
% 54.96/55.13 apply (zenon_or_s _ _ zenon_H37b); [ zenon_intro zenon_H20d | zenon_intro zenon_H1c3 ].
% 54.96/55.13 apply (zenon_or_s _ _ zenon_H245); [ zenon_intro zenon_H147 | zenon_intro zenon_H254 ].
% 54.96/55.13 apply (zenon_L60_); trivial.
% 54.96/55.13 apply (zenon_or_s _ _ zenon_H254); [ zenon_intro zenon_H164 | zenon_intro zenon_H255 ].
% 54.96/55.13 apply (zenon_L66_); trivial.
% 54.96/55.13 apply (zenon_or_s _ _ zenon_H255); [ zenon_intro zenon_H197 | zenon_intro zenon_H256 ].
% 54.96/55.13 apply (zenon_L737_); trivial.
% 54.96/55.13 apply (zenon_or_s _ _ zenon_H256); [ zenon_intro zenon_H199 | zenon_intro zenon_H257 ].
% 54.96/55.13 apply (zenon_L77_); trivial.
% 54.96/55.13 apply (zenon_or_s _ _ zenon_H257); [ zenon_intro zenon_H259 | zenon_intro zenon_H258 ].
% 54.96/55.13 apply (zenon_L740_); trivial.
% 54.96/55.13 apply (zenon_or_s _ _ zenon_H258); [ zenon_intro zenon_H1a5 | zenon_intro zenon_H262 ].
% 54.96/55.13 apply (zenon_L80_); trivial.
% 54.96/55.13 apply (zenon_or_s _ _ zenon_H262); [ zenon_intro zenon_H1ae | zenon_intro zenon_H263 ].
% 54.96/55.13 apply (zenon_L83_); trivial.
% 54.96/55.13 apply (zenon_or_s _ _ zenon_H263); [ zenon_intro zenon_H212 | zenon_intro zenon_H264 ].
% 54.96/55.13 apply (zenon_L161_); trivial.
% 54.96/55.13 apply (zenon_or_s _ _ zenon_H264); [ zenon_intro zenon_H220 | zenon_intro zenon_H265 ].
% 54.96/55.13 apply (zenon_L110_); trivial.
% 54.96/55.13 apply (zenon_or_s _ _ zenon_H265); [ zenon_intro zenon_H222 | zenon_intro zenon_H266 ].
% 54.96/55.13 apply (zenon_L111_); trivial.
% 54.96/55.13 apply (zenon_or_s _ _ zenon_H266); [ zenon_intro zenon_H225 | zenon_intro zenon_H267 ].
% 54.96/55.13 apply (zenon_L113_); trivial.
% 54.96/55.13 apply (zenon_or_s _ _ zenon_H267); [ zenon_intro zenon_H22d | zenon_intro zenon_H268 ].
% 54.96/55.13 apply (zenon_L114_); trivial.
% 54.96/55.13 apply (zenon_or_s _ _ zenon_H268); [ zenon_intro zenon_H230 | zenon_intro zenon_H269 ].
% 54.96/55.13 apply (zenon_L115_); trivial.
% 54.96/55.13 apply (zenon_or_s _ _ zenon_H269); [ zenon_intro zenon_H232 | zenon_intro zenon_H26a ].
% 54.96/55.13 apply (zenon_L116_); trivial.
% 54.96/55.13 apply (zenon_or_s _ _ zenon_H26a); [ zenon_intro zenon_H240 | zenon_intro zenon_H242 ].
% 54.96/55.13 apply (zenon_L166_); trivial.
% 54.96/55.13 apply (zenon_L125_); trivial.
% 54.96/55.13 apply (zenon_or_s _ _ zenon_H245); [ zenon_intro zenon_H147 | zenon_intro zenon_H254 ].
% 54.96/55.13 apply (zenon_L60_); trivial.
% 54.96/55.13 apply (zenon_or_s _ _ zenon_H254); [ zenon_intro zenon_H164 | zenon_intro zenon_H255 ].
% 54.96/55.13 apply (zenon_L66_); trivial.
% 54.96/55.13 apply (zenon_or_s _ _ zenon_H255); [ zenon_intro zenon_H197 | zenon_intro zenon_H256 ].
% 54.96/55.13 apply (zenon_L737_); trivial.
% 54.96/55.13 apply (zenon_or_s _ _ zenon_H256); [ zenon_intro zenon_H199 | zenon_intro zenon_H257 ].
% 54.96/55.13 apply (zenon_L77_); trivial.
% 54.96/55.13 apply (zenon_or_s _ _ zenon_H257); [ zenon_intro zenon_H259 | zenon_intro zenon_H258 ].
% 54.96/55.13 apply (zenon_L740_); trivial.
% 54.96/55.13 apply (zenon_or_s _ _ zenon_H258); [ zenon_intro zenon_H1a5 | zenon_intro zenon_H262 ].
% 54.96/55.13 apply (zenon_L80_); trivial.
% 54.96/55.13 apply (zenon_or_s _ _ zenon_H262); [ zenon_intro zenon_H1ae | zenon_intro zenon_H263 ].
% 54.96/55.13 apply (zenon_L83_); trivial.
% 54.96/55.13 apply (zenon_or_s _ _ zenon_H263); [ zenon_intro zenon_H212 | zenon_intro zenon_H264 ].
% 54.96/55.13 apply (zenon_L167_); trivial.
% 54.96/55.13 apply (zenon_or_s _ _ zenon_H264); [ zenon_intro zenon_H220 | zenon_intro zenon_H265 ].
% 54.96/55.13 apply (zenon_L110_); trivial.
% 54.96/55.13 apply (zenon_or_s _ _ zenon_H265); [ zenon_intro zenon_H222 | zenon_intro zenon_H266 ].
% 54.96/55.13 apply (zenon_L111_); trivial.
% 54.96/55.13 apply (zenon_or_s _ _ zenon_H266); [ zenon_intro zenon_H225 | zenon_intro zenon_H267 ].
% 54.96/55.13 apply (zenon_L113_); trivial.
% 54.96/55.13 apply (zenon_or_s _ _ zenon_H267); [ zenon_intro zenon_H22d | zenon_intro zenon_H268 ].
% 54.96/55.13 apply (zenon_L114_); trivial.
% 54.96/55.13 apply (zenon_or_s _ _ zenon_H268); [ zenon_intro zenon_H230 | zenon_intro zenon_H269 ].
% 54.96/55.13 apply (zenon_L115_); trivial.
% 54.96/55.13 apply (zenon_or_s _ _ zenon_H269); [ zenon_intro zenon_H232 | zenon_intro zenon_H26a ].
% 54.96/55.13 apply (zenon_L116_); trivial.
% 54.96/55.13 apply (zenon_or_s _ _ zenon_H26a); [ zenon_intro zenon_H240 | zenon_intro zenon_H242 ].
% 54.96/55.13 apply (zenon_L166_); trivial.
% 54.96/55.13 apply (zenon_L125_); trivial.
% 54.96/55.13 apply (zenon_or_s _ _ zenon_H245); [ zenon_intro zenon_H147 | zenon_intro zenon_H254 ].
% 54.96/55.13 apply (zenon_L60_); trivial.
% 54.96/55.13 apply (zenon_or_s _ _ zenon_H254); [ zenon_intro zenon_H164 | zenon_intro zenon_H255 ].
% 54.96/55.13 apply (zenon_L66_); trivial.
% 54.96/55.13 apply (zenon_or_s _ _ zenon_H255); [ zenon_intro zenon_H197 | zenon_intro zenon_H256 ].
% 54.96/55.13 apply (zenon_L737_); trivial.
% 54.96/55.13 apply (zenon_or_s _ _ zenon_H256); [ zenon_intro zenon_H199 | zenon_intro zenon_H257 ].
% 54.96/55.13 apply (zenon_L77_); trivial.
% 54.96/55.13 apply (zenon_or_s _ _ zenon_H257); [ zenon_intro zenon_H259 | zenon_intro zenon_H258 ].
% 54.96/55.13 apply (zenon_L740_); trivial.
% 54.96/55.13 apply (zenon_or_s _ _ zenon_H258); [ zenon_intro zenon_H1a5 | zenon_intro zenon_H262 ].
% 54.96/55.13 apply (zenon_L80_); trivial.
% 54.96/55.13 apply (zenon_or_s _ _ zenon_H262); [ zenon_intro zenon_H1ae | zenon_intro zenon_H263 ].
% 54.96/55.13 apply (zenon_L83_); trivial.
% 54.96/55.13 apply (zenon_or_s _ _ zenon_H263); [ zenon_intro zenon_H212 | zenon_intro zenon_H264 ].
% 54.96/55.13 apply (zenon_L169_); trivial.
% 54.96/55.13 apply (zenon_or_s _ _ zenon_H264); [ zenon_intro zenon_H220 | zenon_intro zenon_H265 ].
% 54.96/55.13 apply (zenon_L110_); trivial.
% 54.96/55.13 apply (zenon_or_s _ _ zenon_H265); [ zenon_intro zenon_H222 | zenon_intro zenon_H266 ].
% 54.96/55.13 apply (zenon_L111_); trivial.
% 54.96/55.13 apply (zenon_or_s _ _ zenon_H266); [ zenon_intro zenon_H225 | zenon_intro zenon_H267 ].
% 54.96/55.13 apply (zenon_L113_); trivial.
% 54.96/55.13 apply (zenon_or_s _ _ zenon_H267); [ zenon_intro zenon_H22d | zenon_intro zenon_H268 ].
% 54.96/55.13 apply (zenon_L114_); trivial.
% 54.96/55.13 apply (zenon_or_s _ _ zenon_H268); [ zenon_intro zenon_H230 | zenon_intro zenon_H269 ].
% 54.96/55.13 apply (zenon_L115_); trivial.
% 54.96/55.13 apply (zenon_or_s _ _ zenon_H269); [ zenon_intro zenon_H232 | zenon_intro zenon_H26a ].
% 54.96/55.13 apply (zenon_L116_); trivial.
% 54.96/55.13 apply (zenon_or_s _ _ zenon_H26a); [ zenon_intro zenon_H240 | zenon_intro zenon_H242 ].
% 54.96/55.13 apply (zenon_L166_); trivial.
% 54.96/55.13 apply (zenon_L125_); trivial.
% 54.96/55.13 apply (zenon_or_s _ _ zenon_H370); [ zenon_intro zenon_H335 | zenon_intro zenon_H363 ].
% 54.96/55.13 apply (zenon_L260_); trivial.
% 54.96/55.13 apply (zenon_L307_); trivial.
% 54.96/55.13 (* end of lemma zenon_L741_ *)
% 54.96/55.13 assert (zenon_L742_ : (((op2 (e21) (e20)) = (e21))/\(((op2 (e20) (e21)) = (e21))/\(((~((op2 (e20) (e20)) = (e20)))\/(~((op2 (e20) (e20)) = (e20))))/\(((~((op2 (e20) (e21)) = (e20)))\/(~((op2 (e20) (e20)) = (e21))))/\(((~((op2 (e20) (e22)) = (e20)))\/(~((op2 (e20) (e20)) = (e22))))/\((~((op2 (e20) (e23)) = (e20)))\/(~((op2 (e20) (e20)) = (e23))))))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> ((e23) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e22)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e20) (e21)) = (e23))\/(((op2 (e20) (e22)) = (e23))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> ((e20) = (op2 (e21) (e21))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e20) (e21)) = (e20))\/(((op2 (e20) (e22)) = (e20))\/((op2 (e20) (e23)) = (e20))))) -> ((((op1 (e10) (op1 (e10) (e10))) = (e10))/\(((op1 (e10) (op1 (e10) (e11))) = (e11))/\(((op1 (e10) (op1 (e10) (e12))) = (e12))/\(((op1 (e10) (op1 (e10) (e13))) = (e13))/\(((~((op1 (e10) (e10)) = (e10)))\/((op1 (e10) (e10)) = (e10)))/\(((~((op1 (e11) (e11)) = (e10)))\/((op1 (e11) (e10)) = (e11)))/\(((~((op1 (e12) (e12)) = (e10)))\/((op1 (e12) (e10)) = (e12)))/\((~((op1 (e13) (e13)) = (e10)))\/((op1 (e13) (e10)) = (e13))))))))))\/((((op1 (e11) (op1 (e11) (e10))) = (e10))/\(((op1 (e11) (op1 (e11) (e11))) = (e11))/\(((op1 (e11) (op1 (e11) (e12))) = (e12))/\(((op1 (e11) (op1 (e11) (e13))) = (e13))/\(((~((op1 (e10) (e10)) = (e11)))\/((op1 (e10) (e11)) = (e10)))/\(((~((op1 (e11) (e11)) = (e11)))\/((op1 (e11) (e11)) = (e11)))/\(((~((op1 (e12) (e12)) = (e11)))\/((op1 (e12) (e11)) = (e12)))/\((~((op1 (e13) (e13)) = (e11)))\/((op1 (e13) (e11)) = (e13))))))))))\/((((op1 (e12) (op1 (e12) (e10))) = (e10))/\(((op1 (e12) (op1 (e12) (e11))) = (e11))/\(((op1 (e12) (op1 (e12) (e12))) = (e12))/\(((op1 (e12) (op1 (e12) (e13))) = (e13))/\(((~((op1 (e10) (e10)) = (e12)))\/((op1 (e10) (e12)) = (e10)))/\(((~((op1 (e11) (e11)) = (e12)))\/((op1 (e11) (e12)) = (e11)))/\(((~((op1 (e12) (e12)) = (e12)))\/((op1 (e12) (e12)) = (e12)))/\((~((op1 (e13) (e13)) = (e12)))\/((op1 (e13) (e12)) = (e13))))))))))\/(((op1 (e13) (op1 (e13) (e10))) = (e10))/\(((op1 (e13) (op1 (e13) (e11))) = (e11))/\(((op1 (e13) (op1 (e13) (e12))) = (e12))/\(((op1 (e13) (op1 (e13) (e13))) = (e13))/\(((~((op1 (e10) (e10)) = (e13)))\/((op1 (e10) (e13)) = (e10)))/\(((~((op1 (e11) (e11)) = (e13)))\/((op1 (e11) (e13)) = (e11)))/\(((~((op1 (e12) (e12)) = (e13)))\/((op1 (e12) (e13)) = (e12)))/\((~((op1 (e13) (e13)) = (e13)))\/((op1 (e13) (e13)) = (e13))))))))))))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e12) (e13)) = (e10))))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e12) (e11)) = (e13))))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (((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) (e20)) = (e20))\/(((op2 (e21) (e20)) = (e20))\/(((op2 (e22) (e20)) = (e20))\/((op2 (e23) (e20)) = (e20))))) -> (~((e20) = (e22))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (((op2 (e23) (e20)) = (e22))\/(((op2 (e23) (e21)) = (e22))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> ((h2 (e10)) = (op2 (e21) (e21))) -> ((e22) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> ((h2 (e12)) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> (~((h2 (op1 (e12) (e10))) = (op2 (h2 (e12)) (h2 (e10))))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> ((e10) = (op1 (e11) (e11))) -> ((((op1 (e10) (e10)) = (e10))/\(((op1 (e10) (e10)) = (e10))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11))))/\(((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12))))/\((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))))))))\/((((op1 (e10) (e11)) = (e10))/\(((op1 (e11) (e10)) = (e10))/\(((~((op1 (e11) (e10)) = (e11)))\/(~((op1 (e11) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e11) (e12)) = (e11)))\/(~((op1 (e11) (e11)) = (e12))))/\((~((op1 (e11) (e13)) = (e11)))\/(~((op1 (e11) (e11)) = (e13)))))))))\/((((op1 (e10) (e12)) = (e10))/\(((op1 (e12) (e10)) = (e10))/\(((~((op1 (e12) (e10)) = (e12)))\/(~((op1 (e12) (e12)) = (e10))))/\(((~((op1 (e12) (e11)) = (e12)))\/(~((op1 (e12) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13)))))))))\/((((op1 (e10) (e13)) = (e10))/\(((op1 (e13) (e10)) = (e10))/\(((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e13) (e13)) = (e10))))/\(((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11))))/\(((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e13) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13)))))))))\/((((op1 (e11) (e10)) = (e11))/\(((op1 (e10) (e11)) = (e11))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11))))/\(((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12))))/\((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))))))))\/((((op1 (e11) (e11)) = (e11))/\(((op1 (e11) (e11)) = (e11))/\(((~((op1 (e11) (e10)) = (e11)))\/(~((op1 (e11) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e11) (e12)) = (e11)))\/(~((op1 (e11) (e11)) = (e12))))/\((~((op1 (e11) (e13)) = (e11)))\/(~((op1 (e11) (e11)) = (e13)))))))))\/((((op1 (e11) (e12)) = (e11))/\(((op1 (e12) (e11)) = (e11))/\(((~((op1 (e12) (e10)) = (e12)))\/(~((op1 (e12) (e12)) = (e10))))/\(((~((op1 (e12) (e11)) = (e12)))\/(~((op1 (e12) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13)))))))))\/((((op1 (e11) (e13)) = (e11))/\(((op1 (e13) (e11)) = (e11))/\(((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e13) (e13)) = (e10))))/\(((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11))))/\(((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e13) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13)))))))))\/((((op1 (e12) (e10)) = (e12))/\(((op1 (e10) (e12)) = (e12))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11))))/\(((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12))))/\((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))))))))\/((((op1 (e12) (e11)) = (e12))/\(((op1 (e11) (e12)) = (e12))/\(((~((op1 (e11) (e10)) = (e11)))\/(~((op1 (e11) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e11) (e12)) = (e11)))\/(~((op1 (e11) (e11)) = (e12))))/\((~((op1 (e11) (e13)) = (e11)))\/(~((op1 (e11) (e11)) = (e13)))))))))\/((((op1 (e12) (e12)) = (e12))/\(((op1 (e12) (e12)) = (e12))/\(((~((op1 (e12) (e10)) = (e12)))\/(~((op1 (e12) (e12)) = (e10))))/\(((~((op1 (e12) (e11)) = (e12)))\/(~((op1 (e12) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13)))))))))\/((((op1 (e12) (e13)) = (e12))/\(((op1 (e13) (e12)) = (e12))/\(((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e13) (e13)) = (e10))))/\(((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11))))/\(((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e13) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13)))))))))\/((((op1 (e13) (e10)) = (e13))/\(((op1 (e10) (e13)) = (e13))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11))))/\(((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12))))/\((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))))))))\/((((op1 (e13) (e11)) = (e13))/\(((op1 (e11) (e13)) = (e13))/\(((~((op1 (e11) (e10)) = (e11)))\/(~((op1 (e11) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e11) (e12)) = (e11)))\/(~((op1 (e11) (e11)) = (e12))))/\((~((op1 (e11) (e13)) = (e11)))\/(~((op1 (e11) (e11)) = (e13)))))))))\/((((op1 (e13) (e12)) = (e13))/\(((op1 (e12) (e13)) = (e13))/\(((~((op1 (e12) (e10)) = (e12)))\/(~((op1 (e12) (e12)) = (e10))))/\(((~((op1 (e12) (e11)) = (e12)))\/(~((op1 (e12) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13)))))))))\/(((op1 (e13) (e13)) = (e13))/\(((op1 (e13) (e13)) = (e13))/\(((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e13) (e13)) = (e10))))/\(((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11))))/\(((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e13) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13)))))))))))))))))))))))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((e12) = (e13))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e13) (e13)) = (e10))\/(((op1 (e13) (e13)) = (e11))\/(((op1 (e13) (e13)) = (e12))\/((op1 (e13) (e13)) = (e13))))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (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) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e11)) = (e12))\/((op1 (e10) (e11)) = (e13))))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((e10) = (e12))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> ((e12) = (op1 (op1 (op1 (e11) (e11)) (op1 (e11) (e11))) (op1 (e11) (e11)))) -> ((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e12))\/((op1 (e11) (e10)) = (e13))))) -> False).
% 54.96/55.13 do 0 intro. intros zenon_Hb6 zenon_H93 zenon_H3b zenon_H98 zenon_H9f zenon_Ha5 zenon_H8d zenon_H33 zenon_Hac zenon_H36e zenon_H358 zenon_H355 zenon_H345 zenon_H360 zenon_H35d zenon_H2d1 zenon_H2c9 zenon_H2d9 zenon_H2e7 zenon_H2e6 zenon_H2e2 zenon_H2ea zenon_H316 zenon_H313 zenon_H30e zenon_H30b zenon_H301 zenon_H321 zenon_H322 zenon_H325 zenon_H328 zenon_H2f8 zenon_H2f6 zenon_H2fb zenon_H2fd zenon_H32e zenon_H32b zenon_H2c2 zenon_H2c0 zenon_H2b9 zenon_H2b1 zenon_H2ad zenon_H2a5 zenon_H2a3 zenon_H4df zenon_Hb7 zenon_Hb0 zenon_H3e zenon_H4e6 zenon_H4e2 zenon_H60 zenon_H67 zenon_H6e zenon_H74 zenon_H26c zenon_H3f zenon_H44f zenon_H4d9 zenon_H32 zenon_H13 zenon_H245 zenon_H23b zenon_H236 zenon_H21a zenon_H20c zenon_H1be zenon_H1b1 zenon_H1de zenon_H1cc zenon_H1d8 zenon_H1da zenon_H1e8 zenon_H1ed zenon_H1f4 zenon_H1f7 zenon_H1fa zenon_H1fd zenon_H204 zenon_H206 zenon_H209 zenon_H1a9 zenon_H17 zenon_H1e zenon_H25 zenon_H1a0 zenon_H19d zenon_H246 zenon_H192 zenon_H18e zenon_H18a zenon_H16c zenon_H172 zenon_H179 zenon_H180 zenon_H186 zenon_H14b zenon_H154 zenon_H155 zenon_H15 zenon_H15a zenon_H15f.
% 54.96/55.13 apply (zenon_and_s _ _ zenon_Hb6). zenon_intro zenon_H4e. zenon_intro zenon_Hb8.
% 54.96/55.13 apply (zenon_and_s _ _ zenon_Hb8). zenon_intro zenon_Hb9. zenon_intro zenon_H2e.
% 54.96/55.13 apply (zenon_and_s _ _ zenon_H2e). zenon_intro zenon_H30. zenon_intro zenon_H2f.
% 54.96/55.13 apply (zenon_and_s _ _ zenon_H2f). zenon_intro zenon_Hbb. zenon_intro zenon_Hba.
% 54.96/55.13 apply (zenon_and_s _ _ zenon_Hba). zenon_intro zenon_Hbc. zenon_intro zenon_Haa.
% 54.96/55.13 apply (zenon_or_s _ _ zenon_H30); [ zenon_intro zenon_H31 | zenon_intro zenon_H31 ].
% 54.96/55.13 apply (zenon_L741_); trivial.
% 54.96/55.13 apply (zenon_L741_); trivial.
% 54.96/55.13 (* end of lemma zenon_L742_ *)
% 54.96/55.13 assert (zenon_L743_ : (~((h2 (op1 (e12) (e11))) = (op2 (h2 (e12)) (h2 (e11))))) -> ((op1 (e12) (e11)) = (e12)) -> ((op2 (e22) (e21)) = (e22)) -> ((h2 (e12)) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> ((e22) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> ((h2 (e11)) = (e21)) -> False).
% 54.96/55.13 do 0 intro. intros zenon_H4e9 zenon_H202 zenon_Hd3 zenon_H44f zenon_H3f zenon_H270.
% 54.96/55.13 cut (((h2 (e12)) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) = ((h2 (op1 (e12) (e11))) = (op2 (h2 (e12)) (h2 (e11))))).
% 54.96/55.13 intro zenon_D_pnotp.
% 54.96/55.13 apply zenon_H4e9.
% 54.96/55.13 rewrite <- zenon_D_pnotp.
% 54.96/55.13 exact zenon_H44f.
% 54.96/55.13 cut (((op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21))) = (op2 (h2 (e12)) (h2 (e11))))); [idtac | apply NNPP; zenon_intro zenon_H4ea].
% 54.96/55.13 cut (((h2 (e12)) = (h2 (op1 (e12) (e11))))); [idtac | apply NNPP; zenon_intro zenon_H4eb].
% 54.96/55.13 congruence.
% 54.96/55.13 elim (classic ((h2 (op1 (e12) (e11))) = (h2 (op1 (e12) (e11))))); [ zenon_intro zenon_H4ec | zenon_intro zenon_H4ed ].
% 54.96/55.13 cut (((h2 (op1 (e12) (e11))) = (h2 (op1 (e12) (e11)))) = ((h2 (e12)) = (h2 (op1 (e12) (e11))))).
% 54.96/55.13 intro zenon_D_pnotp.
% 54.96/55.13 apply zenon_H4eb.
% 54.96/55.13 rewrite <- zenon_D_pnotp.
% 54.96/55.13 exact zenon_H4ec.
% 54.96/55.13 cut (((h2 (op1 (e12) (e11))) = (h2 (op1 (e12) (e11))))); [idtac | apply NNPP; zenon_intro zenon_H4ed].
% 54.96/55.13 cut (((h2 (op1 (e12) (e11))) = (h2 (e12)))); [idtac | apply NNPP; zenon_intro zenon_H4ee].
% 54.96/55.13 congruence.
% 54.96/55.13 cut (((op1 (e12) (e11)) = (e12))); [idtac | apply NNPP; zenon_intro zenon_H23c].
% 54.96/55.13 congruence.
% 54.96/55.13 exact (zenon_H23c zenon_H202).
% 54.96/55.13 apply zenon_H4ed. apply refl_equal.
% 54.96/55.13 apply zenon_H4ed. apply refl_equal.
% 54.96/55.13 elim (classic ((op2 (h2 (e12)) (h2 (e11))) = (op2 (h2 (e12)) (h2 (e11))))); [ zenon_intro zenon_H4ef | zenon_intro zenon_H4f0 ].
% 54.96/55.13 cut (((op2 (h2 (e12)) (h2 (e11))) = (op2 (h2 (e12)) (h2 (e11)))) = ((op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21))) = (op2 (h2 (e12)) (h2 (e11))))).
% 54.96/55.13 intro zenon_D_pnotp.
% 54.96/55.13 apply zenon_H4ea.
% 54.96/55.13 rewrite <- zenon_D_pnotp.
% 54.96/55.13 exact zenon_H4ef.
% 54.96/55.13 cut (((op2 (h2 (e12)) (h2 (e11))) = (op2 (h2 (e12)) (h2 (e11))))); [idtac | apply NNPP; zenon_intro zenon_H4f0].
% 54.96/55.13 cut (((op2 (h2 (e12)) (h2 (e11))) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21))))); [idtac | apply NNPP; zenon_intro zenon_H4f1].
% 54.96/55.13 congruence.
% 54.96/55.13 cut (((op2 (e22) (e21)) = (e22)) = ((op2 (h2 (e12)) (h2 (e11))) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21))))).
% 54.96/55.13 intro zenon_D_pnotp.
% 54.96/55.13 apply zenon_H4f1.
% 54.96/55.13 rewrite <- zenon_D_pnotp.
% 54.96/55.13 exact zenon_Hd3.
% 54.96/55.13 cut (((e22) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21))))); [idtac | apply NNPP; zenon_intro zenon_H46e].
% 54.96/55.13 cut (((op2 (e22) (e21)) = (op2 (h2 (e12)) (h2 (e11))))); [idtac | apply NNPP; zenon_intro zenon_H4f2].
% 54.96/55.13 congruence.
% 54.96/55.13 elim (classic ((op2 (h2 (e12)) (h2 (e11))) = (op2 (h2 (e12)) (h2 (e11))))); [ zenon_intro zenon_H4ef | zenon_intro zenon_H4f0 ].
% 54.96/55.13 cut (((op2 (h2 (e12)) (h2 (e11))) = (op2 (h2 (e12)) (h2 (e11)))) = ((op2 (e22) (e21)) = (op2 (h2 (e12)) (h2 (e11))))).
% 54.96/55.13 intro zenon_D_pnotp.
% 54.96/55.13 apply zenon_H4f2.
% 54.96/55.13 rewrite <- zenon_D_pnotp.
% 54.96/55.13 exact zenon_H4ef.
% 54.96/55.13 cut (((op2 (h2 (e12)) (h2 (e11))) = (op2 (h2 (e12)) (h2 (e11))))); [idtac | apply NNPP; zenon_intro zenon_H4f0].
% 54.96/55.13 cut (((op2 (h2 (e12)) (h2 (e11))) = (op2 (e22) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H4f3].
% 54.96/55.13 congruence.
% 54.96/55.13 cut (((h2 (e11)) = (e21))); [idtac | apply NNPP; zenon_intro zenon_H27c].
% 54.96/55.13 cut (((h2 (e12)) = (e22))); [idtac | apply NNPP; zenon_intro zenon_H44e].
% 54.96/55.13 congruence.
% 54.96/55.13 apply (zenon_L469_); trivial.
% 54.96/55.13 exact (zenon_H27c zenon_H270).
% 54.96/55.13 apply zenon_H4f0. apply refl_equal.
% 54.96/55.13 apply zenon_H4f0. apply refl_equal.
% 54.96/55.13 exact (zenon_H46e zenon_H3f).
% 54.96/55.13 apply zenon_H4f0. apply refl_equal.
% 54.96/55.13 apply zenon_H4f0. apply refl_equal.
% 54.96/55.13 (* end of lemma zenon_L743_ *)
% 54.96/55.13 assert (zenon_L744_ : (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> ((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) -> ((e10) = (op1 (e11) (e11))) -> ((e12) = (op1 (op1 (op1 (e11) (e11)) (op1 (e11) (e11))) (op1 (e11) (e11)))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> ((h2 (e11)) = (e21)) -> ((e22) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> ((h2 (e12)) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> ((op2 (e22) (e21)) = (e22)) -> (~((h2 (op1 (e12) (e11))) = (op2 (h2 (e12)) (h2 (e11))))) -> (~((op1 (e12) (e12)) = (e12))) -> (~((op1 (e12) (e13)) = (e12))) -> False).
% 54.96/55.13 do 0 intro. intros zenon_H23b zenon_H15 zenon_H13 zenon_H155 zenon_H21a zenon_H270 zenon_H3f zenon_H44f zenon_Hd3 zenon_H4e9 zenon_H1d1 zenon_H27d.
% 54.96/55.13 apply (zenon_or_s _ _ zenon_H23b); [ zenon_intro zenon_H21b | zenon_intro zenon_H23d ].
% 54.96/55.13 apply (zenon_L109_); trivial.
% 54.96/55.13 apply (zenon_or_s _ _ zenon_H23d); [ zenon_intro zenon_H202 | zenon_intro zenon_H23e ].
% 54.96/55.13 apply (zenon_L743_); trivial.
% 54.96/55.13 apply (zenon_or_s _ _ zenon_H23e); [ zenon_intro zenon_H1cb | zenon_intro zenon_H22f ].
% 54.96/55.13 exact (zenon_H1d1 zenon_H1cb).
% 54.96/55.13 exact (zenon_H27d zenon_H22f).
% 54.96/55.13 (* end of lemma zenon_L744_ *)
% 54.96/55.13 assert (zenon_L745_ : ((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (~((op1 (e12) (e12)) = (e11))) -> ((op1 (e10) (e12)) = (e10)) -> ((op1 (e12) (e10)) = (e10)) -> ((op1 (e11) (op1 (e11) (e10))) = (e10)) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e12))\/((op1 (e11) (e10)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> ((e12) = (op1 (op1 (op1 (e11) (e11)) (op1 (e11) (e11))) (op1 (e11) (e11)))) -> ((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) -> ((e10) = (op1 (e11) (e11))) -> (~((h2 (op1 (e12) (e11))) = (op2 (h2 (e12)) (h2 (e11))))) -> ((h2 (e11)) = (e21)) -> ((e22) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> ((h2 (e12)) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> ((op2 (e22) (e21)) = (e22)) -> (~((op1 (e12) (e12)) = (e12))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> False).
% 54.96/55.13 do 0 intro. intros zenon_H22c zenon_H14b zenon_H1da zenon_H23f zenon_H18f zenon_H293 zenon_H292 zenon_H1de zenon_H154 zenon_H15a zenon_H15f zenon_H21a zenon_H155 zenon_H15 zenon_H13 zenon_H4e9 zenon_H270 zenon_H3f zenon_H44f zenon_Hd3 zenon_H1d1 zenon_H23b.
% 54.96/55.13 apply (zenon_or_s _ _ zenon_H22c); [ zenon_intro zenon_H27d | zenon_intro zenon_H29d ].
% 54.96/55.13 apply (zenon_L744_); trivial.
% 54.96/55.13 apply (zenon_L144_); trivial.
% 54.96/55.13 (* end of lemma zenon_L745_ *)
% 54.96/55.13 assert (zenon_L746_ : (((op1 (e10) (e12)) = (e10))/\(((op1 (e12) (e10)) = (e10))/\(((~((op1 (e12) (e10)) = (e12)))\/(~((op1 (e12) (e12)) = (e10))))/\(((~((op1 (e12) (e11)) = (e12)))\/(~((op1 (e12) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13))))))))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> ((op2 (e22) (e21)) = (e22)) -> ((h2 (e12)) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> ((e22) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> ((h2 (e11)) = (e21)) -> (~((h2 (op1 (e12) (e11))) = (op2 (h2 (e12)) (h2 (e11))))) -> ((e10) = (op1 (e11) (e11))) -> ((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) -> ((e12) = (op1 (op1 (op1 (e11) (e11)) (op1 (e11) (e11))) (op1 (e11) (e11)))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e12))\/((op1 (e11) (e10)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> ((op1 (e11) (op1 (e11) (e10))) = (e10)) -> (~((op1 (e12) (e12)) = (e11))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> False).
% 54.96/55.13 do 0 intro. intros zenon_H197 zenon_H23b zenon_Hd3 zenon_H44f zenon_H3f zenon_H270 zenon_H4e9 zenon_H13 zenon_H15 zenon_H155 zenon_H21a zenon_H15f zenon_H15a zenon_H154 zenon_H1de zenon_H292 zenon_H23f zenon_H1da zenon_H14b.
% 54.96/55.13 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_H18f. zenon_intro zenon_H198.
% 54.96/55.13 apply (zenon_and_s _ _ zenon_H198). zenon_intro zenon_H293. zenon_intro zenon_H227.
% 54.96/55.13 apply (zenon_and_s _ _ zenon_H227). zenon_intro zenon_H229. zenon_intro zenon_H228.
% 54.96/55.13 apply (zenon_and_s _ _ zenon_H228). zenon_intro zenon_H22b. zenon_intro zenon_H22a.
% 54.96/55.13 apply (zenon_and_s _ _ zenon_H22a). zenon_intro zenon_H224. zenon_intro zenon_H22c.
% 54.96/55.13 apply (zenon_or_s _ _ zenon_H224); [ zenon_intro zenon_H1d1 | zenon_intro zenon_H1d1 ].
% 54.96/55.13 apply (zenon_L745_); trivial.
% 54.96/55.13 apply (zenon_L745_); trivial.
% 54.96/55.13 (* end of lemma zenon_L746_ *)
% 54.96/55.13 assert (zenon_L747_ : (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (((op1 (e11) (e10)) = (e11))/\(((op1 (e10) (e11)) = (e11))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11))))/\(((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12))))/\((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13))))))))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> ((op1 (e13) (e10)) = (e12)) -> ((op1 (e12) (e12)) = (e12)) -> ((e12) = (op1 (op1 (op1 (e11) (e11)) (op1 (e11) (e11))) (op1 (e11) (e11)))) -> ((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) -> ((op1 (e11) (e11)) = (e12)) -> ((e10) = (op1 (e11) (e11))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> False).
% 54.96/55.13 do 0 intro. intros zenon_H1f7 zenon_H1e8 zenon_H1a9 zenon_H259 zenon_H1cc zenon_H16b zenon_H1cb zenon_H155 zenon_H15 zenon_H1b8 zenon_H13 zenon_H358.
% 54.96/55.13 apply (zenon_or_s _ _ zenon_H1f7); [ zenon_intro zenon_H1e7 | zenon_intro zenon_H1f8 ].
% 54.96/55.13 apply (zenon_L94_); trivial.
% 54.96/55.13 apply (zenon_or_s _ _ zenon_H1f8); [ zenon_intro zenon_H1a8 | zenon_intro zenon_H1f9 ].
% 54.96/55.13 apply (zenon_L256_); trivial.
% 54.96/55.13 apply (zenon_or_s _ _ zenon_H1f9); [ zenon_intro zenon_H1c6 | zenon_intro zenon_H1f3 ].
% 54.96/55.13 apply (zenon_L89_); trivial.
% 54.96/55.13 apply (zenon_L289_); trivial.
% 54.96/55.13 (* end of lemma zenon_L747_ *)
% 54.96/55.13 assert (zenon_L748_ : (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> ((op1 (e13) (e10)) = (e12)) -> ((op1 (e11) (e12)) = (e12)) -> ((op1 (e10) (e13)) = (e12)) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (((op1 (e11) (e10)) = (e11))/\(((op1 (e10) (e11)) = (e11))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11))))/\(((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12))))/\((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13))))))))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> ((h2 (e11)) = (e21)) -> ((e22) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> ((h2 (e12)) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> ((op2 (e22) (e21)) = (e22)) -> (~((h2 (op1 (e12) (e11))) = (op2 (h2 (e12)) (h2 (e11))))) -> ((e12) = (op1 (op1 (op1 (e11) (e11)) (op1 (e11) (e11))) (op1 (e11) (e11)))) -> ((e10) = (op1 (e11) (e11))) -> ((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> False).
% 54.96/55.13 do 0 intro. intros zenon_H209 zenon_H204 zenon_H2b9 zenon_H16b zenon_H1c6 zenon_H31b zenon_H1f7 zenon_H1e8 zenon_H1a9 zenon_H259 zenon_H1cc zenon_H358 zenon_H21a zenon_H23b zenon_H270 zenon_H3f zenon_H44f zenon_Hd3 zenon_H4e9 zenon_H155 zenon_H13 zenon_H15 zenon_H172.
% 54.96/55.13 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H1dc | zenon_intro zenon_H20a ].
% 54.96/55.13 apply (zenon_L635_); trivial.
% 54.96/55.13 apply (zenon_or_s _ _ zenon_H20a); [ zenon_intro zenon_H1b8 | zenon_intro zenon_H20b ].
% 54.96/55.13 apply (zenon_or_s _ _ zenon_H23b); [ zenon_intro zenon_H21b | zenon_intro zenon_H23d ].
% 54.96/55.13 apply (zenon_L109_); trivial.
% 54.96/55.13 apply (zenon_or_s _ _ zenon_H23d); [ zenon_intro zenon_H202 | zenon_intro zenon_H23e ].
% 54.96/55.13 apply (zenon_L743_); trivial.
% 54.96/55.13 apply (zenon_or_s _ _ zenon_H23e); [ zenon_intro zenon_H1cb | zenon_intro zenon_H22f ].
% 54.96/55.13 apply (zenon_L747_); trivial.
% 54.96/55.13 apply (zenon_L634_); trivial.
% 54.96/55.13 apply (zenon_or_s _ _ zenon_H20b); [ zenon_intro zenon_H202 | zenon_intro zenon_H171 ].
% 54.96/55.13 apply (zenon_L743_); trivial.
% 54.96/55.13 apply (zenon_L69_); trivial.
% 54.96/55.13 (* end of lemma zenon_L748_ *)
% 54.96/55.13 assert (zenon_L749_ : (((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e10)) = (e12))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e13) (e10)) = (e12))))) -> (~((op1 (e10) (e10)) = (e12))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> ((op1 (e11) (e10)) = (e11)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> ((e12) = (op1 (op1 (op1 (e11) (e11)) (op1 (e11) (e11))) (op1 (e11) (e11)))) -> (~((h2 (op1 (e12) (e11))) = (op2 (h2 (e12)) (h2 (e11))))) -> ((op2 (e22) (e21)) = (e22)) -> ((h2 (e12)) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> ((e22) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> ((h2 (e11)) = (e21)) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (((op1 (e11) (e10)) = (e11))/\(((op1 (e10) (e11)) = (e11))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11))))/\(((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12))))/\((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13))))))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> ((op1 (e10) (e13)) = (e12)) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (e10))) -> ((op1 (e10) (e11)) = (e11)) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> ((op1 (e11) (op1 (e11) (e13))) = (e13)) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> ((op1 (e11) (op1 (e11) (e12))) = (e12)) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> ((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) -> ((e10) = (op1 (e11) (e11))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> False).
% 54.96/55.13 do 0 intro. intros zenon_H4c3 zenon_H4c4 zenon_H1fa zenon_H154 zenon_H163 zenon_H172 zenon_H155 zenon_H4e9 zenon_Hd3 zenon_H44f zenon_H3f zenon_H270 zenon_H23b zenon_H21a zenon_H358 zenon_H259 zenon_H1a9 zenon_H1e8 zenon_H1f7 zenon_H31b zenon_H2b9 zenon_H204 zenon_H209 zenon_H328 zenon_H25f zenon_H1fe zenon_H485 zenon_H29e zenon_H1f4 zenon_H1cc zenon_H375 zenon_H30e zenon_H1e zenon_H2c9 zenon_H15 zenon_H13 zenon_H25.
% 54.96/55.13 apply (zenon_or_s _ _ zenon_H4c3); [ zenon_intro zenon_H4c6 | zenon_intro zenon_H4c8 ].
% 54.96/55.13 exact (zenon_H4c4 zenon_H4c6).
% 54.96/55.13 apply (zenon_or_s _ _ zenon_H4c8); [ zenon_intro zenon_H156 | zenon_intro zenon_H4c9 ].
% 54.96/55.13 apply (zenon_L63_); trivial.
% 54.96/55.13 apply (zenon_or_s _ _ zenon_H4c9); [ zenon_intro zenon_H21b | zenon_intro zenon_H16b ].
% 54.96/55.13 apply (zenon_L109_); trivial.
% 54.96/55.13 apply (zenon_or_s _ _ zenon_H1fa); [ zenon_intro zenon_H156 | zenon_intro zenon_H1fb ].
% 54.96/55.13 apply (zenon_L63_); trivial.
% 54.96/55.13 apply (zenon_or_s _ _ zenon_H1fb); [ zenon_intro zenon_H1b8 | zenon_intro zenon_H1fc ].
% 54.96/55.13 apply (zenon_or_s _ _ zenon_H1f7); [ zenon_intro zenon_H1e7 | zenon_intro zenon_H1f8 ].
% 54.96/55.13 apply (zenon_L94_); trivial.
% 54.96/55.13 apply (zenon_or_s _ _ zenon_H1f8); [ zenon_intro zenon_H1a8 | zenon_intro zenon_H1f9 ].
% 54.96/55.13 apply (zenon_L81_); trivial.
% 54.96/55.13 apply (zenon_or_s _ _ zenon_H1f9); [ zenon_intro zenon_H1c6 | zenon_intro zenon_H1f3 ].
% 54.96/55.13 apply (zenon_L748_); trivial.
% 54.96/55.13 apply (zenon_L289_); trivial.
% 54.96/55.13 apply (zenon_or_s _ _ zenon_H1fc); [ zenon_intro zenon_H1c6 | zenon_intro zenon_H1ec ].
% 54.96/55.13 apply (zenon_L748_); trivial.
% 54.96/55.13 apply (zenon_L638_); trivial.
% 54.96/55.13 (* end of lemma zenon_L749_ *)
% 54.96/55.13 assert (zenon_L750_ : (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> ((op1 (e11) (op1 (e11) (e12))) = (e12)) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e11) (op1 (e11) (e13))) = (e13)) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> ((op1 (e10) (e11)) = (e11)) -> (~((op1 (e10) (e13)) = (e10))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (((op1 (e11) (e10)) = (e11))/\(((op1 (e10) (e11)) = (e11))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11))))/\(((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12))))/\((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13))))))))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> ((h2 (e11)) = (e21)) -> ((e22) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> ((h2 (e12)) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> ((op2 (e22) (e21)) = (e22)) -> (~((h2 (op1 (e12) (e11))) = (op2 (h2 (e12)) (h2 (e11))))) -> ((e12) = (op1 (op1 (op1 (e11) (e11)) (op1 (e11) (e11))) (op1 (e11) (e11)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> ((op1 (e11) (e10)) = (e11)) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e10) (e10)) = (e12))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e10)) = (e12))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e13) (e10)) = (e12))))) -> ((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) -> ((e10) = (op1 (e11) (e11))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> False).
% 54.96/55.13 do 0 intro. intros zenon_H2c9 zenon_H1e zenon_H30e zenon_H375 zenon_H1cc zenon_H1f4 zenon_H29e zenon_H485 zenon_H1fe zenon_H25f zenon_H328 zenon_H209 zenon_H204 zenon_H2b9 zenon_H1f7 zenon_H1e8 zenon_H1a9 zenon_H259 zenon_H358 zenon_H21a zenon_H23b zenon_H270 zenon_H3f zenon_H44f zenon_Hd3 zenon_H4e9 zenon_H155 zenon_H172 zenon_H163 zenon_H154 zenon_H1fa zenon_H4c4 zenon_H4c3 zenon_H15 zenon_H13 zenon_H25.
% 54.96/55.13 apply (zenon_or_s _ _ zenon_H328); [ zenon_intro zenon_H19b | zenon_intro zenon_H329 ].
% 54.96/55.13 exact (zenon_H25f zenon_H19b).
% 54.96/55.13 apply (zenon_or_s _ _ zenon_H329); [ zenon_intro zenon_H2ef | zenon_intro zenon_H32a ].
% 54.96/55.13 apply (zenon_L524_); trivial.
% 54.96/55.13 apply (zenon_or_s _ _ zenon_H32a); [ zenon_intro zenon_H31b | zenon_intro zenon_H24 ].
% 54.96/55.13 apply (zenon_L749_); trivial.
% 54.96/55.13 apply (zenon_L4_); trivial.
% 54.96/55.13 (* end of lemma zenon_L750_ *)
% 54.96/55.13 assert (zenon_L751_ : ((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> ((e12) = (op1 (op1 (op1 (e11) (e11)) (op1 (e11) (e11))) (op1 (e11) (e11)))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e11) (op1 (e11) (e13))) = (e13)) -> ((op1 (e11) (op1 (e11) (e12))) = (e12)) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> ((op1 (e11) (e10)) = (e11)) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((h2 (op1 (e12) (e11))) = (op2 (h2 (e12)) (h2 (e11))))) -> ((h2 (e11)) = (e21)) -> ((e22) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> ((h2 (e12)) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> ((op2 (e22) (e21)) = (e22)) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (((op1 (e11) (e10)) = (e11))/\(((op1 (e10) (e11)) = (e11))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11))))/\(((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12))))/\((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13))))))))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e10)) = (e12))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e13) (e10)) = (e12))))) -> ((op1 (e10) (e11)) = (e11)) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> ((e10) = (op1 (e11) (e11))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (~((op1 (e10) (e10)) = (e10))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> ((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> ((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))) -> False).
% 54.96/55.13 do 0 intro. intros zenon_H25e zenon_H154 zenon_H155 zenon_H21a zenon_H1fa zenon_H2c9 zenon_H1f4 zenon_H29e zenon_H375 zenon_H30e zenon_H328 zenon_H1e8 zenon_H1a9 zenon_H163 zenon_H209 zenon_H172 zenon_H4e9 zenon_H270 zenon_H3f zenon_H44f zenon_Hd3 zenon_H1f7 zenon_H358 zenon_H259 zenon_H204 zenon_H1cc zenon_H2b9 zenon_H23b zenon_H4c3 zenon_H1fe zenon_H485 zenon_H246 zenon_H13 zenon_H19d zenon_H146 zenon_H1a0 zenon_H25 zenon_H1e zenon_H15 zenon_H17 zenon_H25d.
% 54.96/55.13 apply (zenon_or_s _ _ zenon_H25e); [ zenon_intro zenon_H458 | zenon_intro zenon_H4c4 ].
% 54.96/55.13 apply (zenon_L629_); trivial.
% 54.96/55.13 apply (zenon_or_s _ _ zenon_H25d); [ zenon_intro zenon_H25f | zenon_intro zenon_H1a1 ].
% 54.96/55.13 apply (zenon_L750_); trivial.
% 54.96/55.13 apply (zenon_L79_); trivial.
% 54.96/55.13 (* end of lemma zenon_L751_ *)
% 54.96/55.13 assert (zenon_L752_ : (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> ((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> ((e10) = (op1 (e11) (e11))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e10)) = (e12))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e13) (e10)) = (e12))))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e11) (e10)) = (e11))/\(((op1 (e10) (e11)) = (e11))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11))))/\(((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12))))/\((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13))))))))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> ((op2 (e22) (e21)) = (e22)) -> ((h2 (e12)) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> ((e22) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> ((h2 (e11)) = (e21)) -> (~((h2 (op1 (e12) (e11))) = (op2 (h2 (e12)) (h2 (e11))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> ((op1 (e11) (op1 (e11) (e12))) = (e12)) -> ((op1 (e11) (op1 (e11) (e13))) = (e13)) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> ((e12) = (op1 (op1 (op1 (e11) (e11)) (op1 (e11) (e11))) (op1 (e11) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> False).
% 54.96/55.13 do 0 intro. intros zenon_H17 zenon_H15 zenon_H1e zenon_H25 zenon_H1a0 zenon_H19d zenon_H13 zenon_H246 zenon_H485 zenon_H4c3 zenon_H23b zenon_H2b9 zenon_H1cc zenon_H204 zenon_H259 zenon_H358 zenon_H1f7 zenon_Hd3 zenon_H44f zenon_H3f zenon_H270 zenon_H4e9 zenon_H172 zenon_H209 zenon_H1a9 zenon_H1e8 zenon_H328 zenon_H30e zenon_H375 zenon_H29e zenon_H1f4 zenon_H2c9 zenon_H1fa zenon_H21a zenon_H155 zenon_H154.
% 54.96/55.13 apply (zenon_and_s _ _ zenon_H259). zenon_intro zenon_H163. zenon_intro zenon_H25a.
% 54.96/55.13 apply (zenon_and_s _ _ zenon_H25a). zenon_intro zenon_H1fe. zenon_intro zenon_H149.
% 54.96/55.13 apply (zenon_and_s _ _ zenon_H149). zenon_intro zenon_H144. zenon_intro zenon_H14a.
% 54.96/55.13 apply (zenon_and_s _ _ zenon_H14a). zenon_intro zenon_H25c. zenon_intro zenon_H25b.
% 54.96/55.13 apply (zenon_and_s _ _ zenon_H25b). zenon_intro zenon_H25e. zenon_intro zenon_H25d.
% 54.96/55.13 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_H146 | zenon_intro zenon_H146 ].
% 54.96/55.13 apply (zenon_L751_); trivial.
% 54.96/55.13 apply (zenon_L751_); trivial.
% 54.96/55.13 (* end of lemma zenon_L752_ *)
% 54.96/55.13 assert (zenon_L753_ : ((~((op1 (e12) (e12)) = (e11)))\/((op1 (e12) (e11)) = (e12))) -> ((((op1 (e10) (e10)) = (e10))/\(((op1 (e10) (e10)) = (e10))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11))))/\(((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12))))/\((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))))))))\/((((op1 (e10) (e11)) = (e10))/\(((op1 (e11) (e10)) = (e10))/\(((~((op1 (e11) (e10)) = (e11)))\/(~((op1 (e11) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e11) (e12)) = (e11)))\/(~((op1 (e11) (e11)) = (e12))))/\((~((op1 (e11) (e13)) = (e11)))\/(~((op1 (e11) (e11)) = (e13)))))))))\/((((op1 (e10) (e12)) = (e10))/\(((op1 (e12) (e10)) = (e10))/\(((~((op1 (e12) (e10)) = (e12)))\/(~((op1 (e12) (e12)) = (e10))))/\(((~((op1 (e12) (e11)) = (e12)))\/(~((op1 (e12) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13)))))))))\/((((op1 (e10) (e13)) = (e10))/\(((op1 (e13) (e10)) = (e10))/\(((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e13) (e13)) = (e10))))/\(((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11))))/\(((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e13) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13)))))))))\/((((op1 (e11) (e10)) = (e11))/\(((op1 (e10) (e11)) = (e11))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11))))/\(((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12))))/\((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))))))))\/((((op1 (e11) (e11)) = (e11))/\(((op1 (e11) (e11)) = (e11))/\(((~((op1 (e11) (e10)) = (e11)))\/(~((op1 (e11) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e11) (e12)) = (e11)))\/(~((op1 (e11) (e11)) = (e12))))/\((~((op1 (e11) (e13)) = (e11)))\/(~((op1 (e11) (e11)) = (e13)))))))))\/((((op1 (e11) (e12)) = (e11))/\(((op1 (e12) (e11)) = (e11))/\(((~((op1 (e12) (e10)) = (e12)))\/(~((op1 (e12) (e12)) = (e10))))/\(((~((op1 (e12) (e11)) = (e12)))\/(~((op1 (e12) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13)))))))))\/((((op1 (e11) (e13)) = (e11))/\(((op1 (e13) (e11)) = (e11))/\(((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e13) (e13)) = (e10))))/\(((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11))))/\(((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e13) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13)))))))))\/((((op1 (e12) (e10)) = (e12))/\(((op1 (e10) (e12)) = (e12))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11))))/\(((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12))))/\((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))))))))\/((((op1 (e12) (e11)) = (e12))/\(((op1 (e11) (e12)) = (e12))/\(((~((op1 (e11) (e10)) = (e11)))\/(~((op1 (e11) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e11) (e12)) = (e11)))\/(~((op1 (e11) (e11)) = (e12))))/\((~((op1 (e11) (e13)) = (e11)))\/(~((op1 (e11) (e11)) = (e13)))))))))\/((((op1 (e12) (e12)) = (e12))/\(((op1 (e12) (e12)) = (e12))/\(((~((op1 (e12) (e10)) = (e12)))\/(~((op1 (e12) (e12)) = (e10))))/\(((~((op1 (e12) (e11)) = (e12)))\/(~((op1 (e12) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13)))))))))\/((((op1 (e12) (e13)) = (e12))/\(((op1 (e13) (e12)) = (e12))/\(((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e13) (e13)) = (e10))))/\(((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11))))/\(((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e13) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13)))))))))\/((((op1 (e13) (e10)) = (e13))/\(((op1 (e10) (e13)) = (e13))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11))))/\(((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12))))/\((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))))))))\/((((op1 (e13) (e11)) = (e13))/\(((op1 (e11) (e13)) = (e13))/\(((~((op1 (e11) (e10)) = (e11)))\/(~((op1 (e11) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e11) (e12)) = (e11)))\/(~((op1 (e11) (e11)) = (e12))))/\((~((op1 (e11) (e13)) = (e11)))\/(~((op1 (e11) (e11)) = (e13)))))))))\/((((op1 (e13) (e12)) = (e13))/\(((op1 (e12) (e13)) = (e13))/\(((~((op1 (e12) (e10)) = (e12)))\/(~((op1 (e12) (e12)) = (e10))))/\(((~((op1 (e12) (e11)) = (e12)))\/(~((op1 (e12) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13)))))))))\/(((op1 (e13) (e13)) = (e13))/\(((op1 (e13) (e13)) = (e13))/\(((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e13) (e13)) = (e10))))/\(((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11))))/\(((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e13) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13)))))))))))))))))))))))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e13) (e13)) = (e10))\/(((op1 (e13) (e13)) = (e11))\/(((op1 (e13) (e13)) = (e12))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> ((op1 (e11) (op1 (e11) (e11))) = (e11)) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e10)) = (e12))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e13) (e10)) = (e12))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> ((op1 (e11) (op1 (e11) (e12))) = (e12)) -> ((op1 (e11) (op1 (e11) (e13))) = (e13)) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((e10) = (e12))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> ((op2 (e22) (e21)) = (e22)) -> ((h2 (e12)) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> ((e22) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> ((h2 (e11)) = (e21)) -> (~((h2 (op1 (e12) (e11))) = (op2 (h2 (e12)) (h2 (e11))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> ((op1 (e11) (op1 (e11) (e10))) = (e10)) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> ((e10) = (op1 (e11) (e11))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> ((e12) = (op1 (op1 (op1 (e11) (e11)) (op1 (e11) (e11))) (op1 (e11) (e11)))) -> ((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e12))\/((op1 (e11) (e10)) = (e13))))) -> ((~((op1 (e13) (e13)) = (e11)))\/((op1 (e13) (e11)) = (e13))) -> False).
% 54.96/55.13 do 0 intro. intros zenon_H37c zenon_H245 zenon_H2c2 zenon_H2c0 zenon_H20c zenon_H18a zenon_H1be zenon_H2b1 zenon_H2ad zenon_H2a6 zenon_H2a5 zenon_H2a3 zenon_H1d8 zenon_H18e zenon_H17 zenon_H1e zenon_H25 zenon_H1a0 zenon_H19d zenon_H246 zenon_H485 zenon_H4c3 zenon_H2b9 zenon_H1cc zenon_H204 zenon_H358 zenon_H1f7 zenon_H209 zenon_H1a9 zenon_H1e8 zenon_H328 zenon_H30e zenon_H375 zenon_H29e zenon_H1f4 zenon_H2c9 zenon_H1fa zenon_H186 zenon_H180 zenon_H179 zenon_H172 zenon_H16c zenon_H23b zenon_Hd3 zenon_H44f zenon_H3f zenon_H270 zenon_H4e9 zenon_H21a zenon_H1de zenon_H292 zenon_H1da zenon_H14b zenon_H13 zenon_H154 zenon_H155 zenon_H15 zenon_H15a zenon_H15f zenon_H37b.
% 54.96/55.13 apply (zenon_or_s _ _ zenon_H37c); [ zenon_intro zenon_H23f | zenon_intro zenon_H202 ].
% 54.96/55.13 apply (zenon_or_s _ _ zenon_H37b); [ zenon_intro zenon_H20d | zenon_intro zenon_H1c3 ].
% 54.96/55.13 apply (zenon_or_s _ _ zenon_H245); [ zenon_intro zenon_H147 | zenon_intro zenon_H254 ].
% 54.96/55.13 apply (zenon_L60_); trivial.
% 54.96/55.13 apply (zenon_or_s _ _ zenon_H254); [ zenon_intro zenon_H164 | zenon_intro zenon_H255 ].
% 54.96/55.13 apply (zenon_L66_); trivial.
% 54.96/55.13 apply (zenon_or_s _ _ zenon_H255); [ zenon_intro zenon_H197 | zenon_intro zenon_H256 ].
% 54.96/55.13 apply (zenon_L746_); trivial.
% 54.96/55.13 apply (zenon_or_s _ _ zenon_H256); [ zenon_intro zenon_H199 | zenon_intro zenon_H257 ].
% 54.96/55.13 apply (zenon_L77_); trivial.
% 54.96/55.13 apply (zenon_or_s _ _ zenon_H257); [ zenon_intro zenon_H259 | zenon_intro zenon_H258 ].
% 54.96/55.13 apply (zenon_L752_); trivial.
% 54.96/55.13 apply (zenon_or_s _ _ zenon_H258); [ zenon_intro zenon_H1a5 | zenon_intro zenon_H262 ].
% 54.96/55.13 apply (zenon_L80_); trivial.
% 54.96/55.13 apply (zenon_or_s _ _ zenon_H262); [ zenon_intro zenon_H1ae | zenon_intro zenon_H263 ].
% 54.96/55.13 apply (zenon_L83_); trivial.
% 54.96/55.13 apply (zenon_or_s _ _ zenon_H263); [ zenon_intro zenon_H212 | zenon_intro zenon_H264 ].
% 54.96/55.13 apply (zenon_L161_); trivial.
% 54.96/55.13 apply (zenon_or_s _ _ zenon_H264); [ zenon_intro zenon_H220 | zenon_intro zenon_H265 ].
% 54.96/55.13 apply (zenon_L110_); trivial.
% 54.96/55.13 apply (zenon_or_s _ _ zenon_H265); [ zenon_intro zenon_H222 | zenon_intro zenon_H266 ].
% 54.96/55.13 apply (zenon_L111_); trivial.
% 54.96/55.13 apply (zenon_or_s _ _ zenon_H266); [ zenon_intro zenon_H225 | zenon_intro zenon_H267 ].
% 54.96/55.13 apply (zenon_L113_); trivial.
% 54.96/55.13 apply (zenon_or_s _ _ zenon_H267); [ zenon_intro zenon_H22d | zenon_intro zenon_H268 ].
% 54.96/55.13 apply (zenon_L114_); trivial.
% 54.96/55.13 apply (zenon_or_s _ _ zenon_H268); [ zenon_intro zenon_H230 | zenon_intro zenon_H269 ].
% 54.96/55.13 apply (zenon_L115_); trivial.
% 54.96/55.13 apply (zenon_or_s _ _ zenon_H269); [ zenon_intro zenon_H232 | zenon_intro zenon_H26a ].
% 54.96/55.13 apply (zenon_L116_); trivial.
% 54.96/55.13 apply (zenon_or_s _ _ zenon_H26a); [ zenon_intro zenon_H240 | zenon_intro zenon_H242 ].
% 54.96/55.13 apply (zenon_L166_); trivial.
% 54.96/55.13 apply (zenon_L125_); trivial.
% 54.96/55.13 apply (zenon_or_s _ _ zenon_H245); [ zenon_intro zenon_H147 | zenon_intro zenon_H254 ].
% 54.96/55.13 apply (zenon_L60_); trivial.
% 54.96/55.13 apply (zenon_or_s _ _ zenon_H254); [ zenon_intro zenon_H164 | zenon_intro zenon_H255 ].
% 54.96/55.13 apply (zenon_L66_); trivial.
% 54.96/55.13 apply (zenon_or_s _ _ zenon_H255); [ zenon_intro zenon_H197 | zenon_intro zenon_H256 ].
% 54.96/55.13 apply (zenon_L746_); trivial.
% 54.96/55.13 apply (zenon_or_s _ _ zenon_H256); [ zenon_intro zenon_H199 | zenon_intro zenon_H257 ].
% 54.96/55.13 apply (zenon_L77_); trivial.
% 54.96/55.13 apply (zenon_or_s _ _ zenon_H257); [ zenon_intro zenon_H259 | zenon_intro zenon_H258 ].
% 54.96/55.13 apply (zenon_L752_); trivial.
% 54.96/55.13 apply (zenon_or_s _ _ zenon_H258); [ zenon_intro zenon_H1a5 | zenon_intro zenon_H262 ].
% 54.96/55.13 apply (zenon_L80_); trivial.
% 54.96/55.13 apply (zenon_or_s _ _ zenon_H262); [ zenon_intro zenon_H1ae | zenon_intro zenon_H263 ].
% 54.96/55.13 apply (zenon_L83_); trivial.
% 54.96/55.13 apply (zenon_or_s _ _ zenon_H263); [ zenon_intro zenon_H212 | zenon_intro zenon_H264 ].
% 54.96/55.13 apply (zenon_L167_); trivial.
% 54.96/55.13 apply (zenon_or_s _ _ zenon_H264); [ zenon_intro zenon_H220 | zenon_intro zenon_H265 ].
% 54.96/55.13 apply (zenon_L110_); trivial.
% 54.96/55.13 apply (zenon_or_s _ _ zenon_H265); [ zenon_intro zenon_H222 | zenon_intro zenon_H266 ].
% 54.96/55.13 apply (zenon_L111_); trivial.
% 54.96/55.13 apply (zenon_or_s _ _ zenon_H266); [ zenon_intro zenon_H225 | zenon_intro zenon_H267 ].
% 54.96/55.13 apply (zenon_L113_); trivial.
% 54.96/55.13 apply (zenon_or_s _ _ zenon_H267); [ zenon_intro zenon_H22d | zenon_intro zenon_H268 ].
% 54.96/55.13 apply (zenon_L114_); trivial.
% 54.96/55.13 apply (zenon_or_s _ _ zenon_H268); [ zenon_intro zenon_H230 | zenon_intro zenon_H269 ].
% 54.96/55.13 apply (zenon_L115_); trivial.
% 54.96/55.13 apply (zenon_or_s _ _ zenon_H269); [ zenon_intro zenon_H232 | zenon_intro zenon_H26a ].
% 54.96/55.13 apply (zenon_L116_); trivial.
% 54.96/55.13 apply (zenon_or_s _ _ zenon_H26a); [ zenon_intro zenon_H240 | zenon_intro zenon_H242 ].
% 54.96/55.13 apply (zenon_L166_); trivial.
% 54.96/55.13 apply (zenon_L125_); trivial.
% 54.96/55.13 apply (zenon_L743_); trivial.
% 54.96/55.13 (* end of lemma zenon_L753_ *)
% 54.96/55.13 assert (zenon_L754_ : ((((op1 (e10) (op1 (e10) (e10))) = (e10))/\(((op1 (e10) (op1 (e10) (e11))) = (e11))/\(((op1 (e10) (op1 (e10) (e12))) = (e12))/\(((op1 (e10) (op1 (e10) (e13))) = (e13))/\(((~((op1 (e10) (e10)) = (e10)))\/((op1 (e10) (e10)) = (e10)))/\(((~((op1 (e11) (e11)) = (e10)))\/((op1 (e11) (e10)) = (e11)))/\(((~((op1 (e12) (e12)) = (e10)))\/((op1 (e12) (e10)) = (e12)))/\((~((op1 (e13) (e13)) = (e10)))\/((op1 (e13) (e10)) = (e13))))))))))\/((((op1 (e11) (op1 (e11) (e10))) = (e10))/\(((op1 (e11) (op1 (e11) (e11))) = (e11))/\(((op1 (e11) (op1 (e11) (e12))) = (e12))/\(((op1 (e11) (op1 (e11) (e13))) = (e13))/\(((~((op1 (e10) (e10)) = (e11)))\/((op1 (e10) (e11)) = (e10)))/\(((~((op1 (e11) (e11)) = (e11)))\/((op1 (e11) (e11)) = (e11)))/\(((~((op1 (e12) (e12)) = (e11)))\/((op1 (e12) (e11)) = (e12)))/\((~((op1 (e13) (e13)) = (e11)))\/((op1 (e13) (e11)) = (e13))))))))))\/((((op1 (e12) (op1 (e12) (e10))) = (e10))/\(((op1 (e12) (op1 (e12) (e11))) = (e11))/\(((op1 (e12) (op1 (e12) (e12))) = (e12))/\(((op1 (e12) (op1 (e12) (e13))) = (e13))/\(((~((op1 (e10) (e10)) = (e12)))\/((op1 (e10) (e12)) = (e10)))/\(((~((op1 (e11) (e11)) = (e12)))\/((op1 (e11) (e12)) = (e11)))/\(((~((op1 (e12) (e12)) = (e12)))\/((op1 (e12) (e12)) = (e12)))/\((~((op1 (e13) (e13)) = (e12)))\/((op1 (e13) (e12)) = (e13))))))))))\/(((op1 (e13) (op1 (e13) (e10))) = (e10))/\(((op1 (e13) (op1 (e13) (e11))) = (e11))/\(((op1 (e13) (op1 (e13) (e12))) = (e12))/\(((op1 (e13) (op1 (e13) (e13))) = (e13))/\(((~((op1 (e10) (e10)) = (e13)))\/((op1 (e10) (e13)) = (e10)))/\(((~((op1 (e11) (e11)) = (e13)))\/((op1 (e11) (e13)) = (e11)))/\(((~((op1 (e12) (e12)) = (e13)))\/((op1 (e12) (e13)) = (e12)))/\((~((op1 (e13) (e13)) = (e13)))\/((op1 (e13) (e13)) = (e13))))))))))))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (~((op2 (e22) (e23)) = (e22))) -> (~((op2 (e22) (e22)) = (e22))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e10)) = (e12))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e13) (e10)) = (e12))))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((e10) = (e12))) -> ((h2 (e12)) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> ((e22) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> ((h2 (e11)) = (e21)) -> (~((h2 (op1 (e12) (e11))) = (op2 (h2 (e12)) (h2 (e11))))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> ((e20) = (op2 (e21) (e21))) -> ((e23) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (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)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (((op1 (e10) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e12) (e11)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((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 (e11) (e11)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e12) (e13)) = (e10))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> ((((op1 (e10) (e10)) = (e10))/\(((op1 (e10) (e10)) = (e10))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11))))/\(((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12))))/\((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))))))))\/((((op1 (e10) (e11)) = (e10))/\(((op1 (e11) (e10)) = (e10))/\(((~((op1 (e11) (e10)) = (e11)))\/(~((op1 (e11) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e11) (e12)) = (e11)))\/(~((op1 (e11) (e11)) = (e12))))/\((~((op1 (e11) (e13)) = (e11)))\/(~((op1 (e11) (e11)) = (e13)))))))))\/((((op1 (e10) (e12)) = (e10))/\(((op1 (e12) (e10)) = (e10))/\(((~((op1 (e12) (e10)) = (e12)))\/(~((op1 (e12) (e12)) = (e10))))/\(((~((op1 (e12) (e11)) = (e12)))\/(~((op1 (e12) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13)))))))))\/((((op1 (e10) (e13)) = (e10))/\(((op1 (e13) (e10)) = (e10))/\(((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e13) (e13)) = (e10))))/\(((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11))))/\(((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e13) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13)))))))))\/((((op1 (e11) (e10)) = (e11))/\(((op1 (e10) (e11)) = (e11))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11))))/\(((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12))))/\((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))))))))\/((((op1 (e11) (e11)) = (e11))/\(((op1 (e11) (e11)) = (e11))/\(((~((op1 (e11) (e10)) = (e11)))\/(~((op1 (e11) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e11) (e12)) = (e11)))\/(~((op1 (e11) (e11)) = (e12))))/\((~((op1 (e11) (e13)) = (e11)))\/(~((op1 (e11) (e11)) = (e13)))))))))\/((((op1 (e11) (e12)) = (e11))/\(((op1 (e12) (e11)) = (e11))/\(((~((op1 (e12) (e10)) = (e12)))\/(~((op1 (e12) (e12)) = (e10))))/\(((~((op1 (e12) (e11)) = (e12)))\/(~((op1 (e12) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13)))))))))\/((((op1 (e11) (e13)) = (e11))/\(((op1 (e13) (e11)) = (e11))/\(((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e13) (e13)) = (e10))))/\(((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11))))/\(((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e13) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13)))))))))\/((((op1 (e12) (e10)) = (e12))/\(((op1 (e10) (e12)) = (e12))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11))))/\(((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12))))/\((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))))))))\/((((op1 (e12) (e11)) = (e12))/\(((op1 (e11) (e12)) = (e12))/\(((~((op1 (e11) (e10)) = (e11)))\/(~((op1 (e11) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e11) (e12)) = (e11)))\/(~((op1 (e11) (e11)) = (e12))))/\((~((op1 (e11) (e13)) = (e11)))\/(~((op1 (e11) (e11)) = (e13)))))))))\/((((op1 (e12) (e12)) = (e12))/\(((op1 (e12) (e12)) = (e12))/\(((~((op1 (e12) (e10)) = (e12)))\/(~((op1 (e12) (e12)) = (e10))))/\(((~((op1 (e12) (e11)) = (e12)))\/(~((op1 (e12) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13)))))))))\/((((op1 (e12) (e13)) = (e12))/\(((op1 (e13) (e12)) = (e12))/\(((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e13) (e13)) = (e10))))/\(((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11))))/\(((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e13) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13)))))))))\/((((op1 (e13) (e10)) = (e13))/\(((op1 (e10) (e13)) = (e13))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11))))/\(((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12))))/\((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))))))))\/((((op1 (e13) (e11)) = (e13))/\(((op1 (e11) (e13)) = (e13))/\(((~((op1 (e11) (e10)) = (e11)))\/(~((op1 (e11) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e11) (e12)) = (e11)))\/(~((op1 (e11) (e11)) = (e12))))/\((~((op1 (e11) (e13)) = (e11)))\/(~((op1 (e11) (e11)) = (e13)))))))))\/((((op1 (e13) (e12)) = (e13))/\(((op1 (e12) (e13)) = (e13))/\(((~((op1 (e12) (e10)) = (e12)))\/(~((op1 (e12) (e12)) = (e10))))/\(((~((op1 (e12) (e11)) = (e12)))\/(~((op1 (e12) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13)))))))))\/(((op1 (e13) (e13)) = (e13))/\(((op1 (e13) (e13)) = (e13))/\(((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e13) (e13)) = (e10))))/\(((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11))))/\(((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e13) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13)))))))))))))))))))))))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((e12) = (e13))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e13)) = (e10))\/(((op1 (e13) (e13)) = (e11))\/(((op1 (e13) (e13)) = (e12))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> ((e12) = (op1 (op1 (op1 (e11) (e11)) (op1 (e11) (e11))) (op1 (e11) (e11)))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e12))\/((op1 (e11) (e10)) = (e13))))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> ((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) -> ((e10) = (op1 (e11) (e11))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> False).
% 54.96/55.13 do 0 intro. intros zenon_H36e zenon_H192 zenon_H1ed zenon_H281 zenon_Hd7 zenon_H2b1 zenon_H2a5 zenon_H485 zenon_H4c3 zenon_H1fa zenon_H16c zenon_H44f zenon_H3f zenon_H270 zenon_H4e9 zenon_H1de zenon_Hb0 zenon_H33 zenon_H3b zenon_Hf1 zenon_H1e8 zenon_H1f7 zenon_H32b zenon_H206 zenon_H32e zenon_H1a9 zenon_H246 zenon_H2fd zenon_H2c0 zenon_H2b9 zenon_H328 zenon_H325 zenon_H322 zenon_H1f4 zenon_H2c2 zenon_H321 zenon_H301 zenon_H30b zenon_H204 zenon_H30e zenon_H316 zenon_H19d zenon_H2ea zenon_H2e2 zenon_H2a3 zenon_H2e6 zenon_H2d9 zenon_H1cc zenon_H2d1 zenon_H245 zenon_H1d8 zenon_H1da zenon_H209 zenon_H358 zenon_H2c9 zenon_H355 zenon_H1fd zenon_H2f6 zenon_H23b zenon_H2ad zenon_H236 zenon_H2e7 zenon_H21a zenon_H313 zenon_H1be zenon_H345 zenon_H20c zenon_H1b1 zenon_H186 zenon_H180 zenon_H179 zenon_H172 zenon_H18e zenon_H14b zenon_H154 zenon_H155 zenon_H15a zenon_H15f zenon_H2fb zenon_H360 zenon_H2f8 zenon_H35d zenon_H18a zenon_H17 zenon_H15 zenon_H13 zenon_H1e zenon_H25 zenon_H1a0.
% 54.96/55.13 apply (zenon_or_s _ _ zenon_H36e); [ zenon_intro zenon_H244 | zenon_intro zenon_H36f ].
% 54.96/55.13 apply (zenon_L126_); trivial.
% 54.96/55.13 apply (zenon_or_s _ _ zenon_H36f); [ zenon_intro zenon_H371 | zenon_intro zenon_H370 ].
% 54.96/55.13 apply (zenon_and_s _ _ zenon_H371). zenon_intro zenon_H292. zenon_intro zenon_H372.
% 54.96/55.13 apply (zenon_and_s _ _ zenon_H372). zenon_intro zenon_H2a6. zenon_intro zenon_H373.
% 54.96/55.13 apply (zenon_and_s _ _ zenon_H373). zenon_intro zenon_H375. zenon_intro zenon_H374.
% 54.96/55.13 apply (zenon_and_s _ _ zenon_H374). zenon_intro zenon_H29e. zenon_intro zenon_H376.
% 54.96/55.13 apply (zenon_and_s _ _ zenon_H376). zenon_intro zenon_H378. zenon_intro zenon_H377.
% 54.96/55.13 apply (zenon_and_s _ _ zenon_H377). zenon_intro zenon_H37a. zenon_intro zenon_H379.
% 54.96/55.13 apply (zenon_and_s _ _ zenon_H379). zenon_intro zenon_H37c. zenon_intro zenon_H37b.
% 54.96/55.13 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_Hb1 | zenon_intro zenon_Hf3 ].
% 54.96/55.13 apply (zenon_L30_); trivial.
% 54.96/55.13 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_Hd3 | zenon_intro zenon_Hf4 ].
% 54.96/55.13 apply (zenon_L753_); trivial.
% 54.96/55.13 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_Hd6 | zenon_intro zenon_He2 ].
% 54.96/55.13 exact (zenon_Hd7 zenon_Hd6).
% 54.96/55.13 exact (zenon_H281 zenon_He2).
% 54.96/55.13 apply (zenon_or_s _ _ zenon_H370); [ zenon_intro zenon_H335 | zenon_intro zenon_H363 ].
% 54.96/55.13 apply (zenon_L260_); trivial.
% 54.96/55.13 apply (zenon_L307_); trivial.
% 54.96/55.13 (* end of lemma zenon_L754_ *)
% 54.96/55.13 assert (zenon_L755_ : ((~((op2 (e22) (e23)) = (e22)))\/(~((op2 (e22) (e22)) = (e23)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> ((op2 (e22) (e20)) = (e20)) -> (~((op2 (e22) (e22)) = (e21))) -> (((op2 (e22) (e22)) = (e20))\/(((op2 (e22) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e22)) = (e23))))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e12))\/((op1 (e11) (e10)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> ((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) -> ((e12) = (op1 (op1 (op1 (e11) (e11)) (op1 (e11) (e11))) (op1 (e11) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((e10) = (e12))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e11)) = (e12))\/((op1 (e10) (e11)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (((op1 (e13) (e13)) = (e10))\/(((op1 (e13) (e13)) = (e11))\/(((op1 (e13) (e13)) = (e12))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (~((e12) = (e13))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> ((((op1 (e10) (e10)) = (e10))/\(((op1 (e10) (e10)) = (e10))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11))))/\(((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12))))/\((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))))))))\/((((op1 (e10) (e11)) = (e10))/\(((op1 (e11) (e10)) = (e10))/\(((~((op1 (e11) (e10)) = (e11)))\/(~((op1 (e11) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e11) (e12)) = (e11)))\/(~((op1 (e11) (e11)) = (e12))))/\((~((op1 (e11) (e13)) = (e11)))\/(~((op1 (e11) (e11)) = (e13)))))))))\/((((op1 (e10) (e12)) = (e10))/\(((op1 (e12) (e10)) = (e10))/\(((~((op1 (e12) (e10)) = (e12)))\/(~((op1 (e12) (e12)) = (e10))))/\(((~((op1 (e12) (e11)) = (e12)))\/(~((op1 (e12) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13)))))))))\/((((op1 (e10) (e13)) = (e10))/\(((op1 (e13) (e10)) = (e10))/\(((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e13) (e13)) = (e10))))/\(((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11))))/\(((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e13) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13)))))))))\/((((op1 (e11) (e10)) = (e11))/\(((op1 (e10) (e11)) = (e11))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11))))/\(((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12))))/\((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))))))))\/((((op1 (e11) (e11)) = (e11))/\(((op1 (e11) (e11)) = (e11))/\(((~((op1 (e11) (e10)) = (e11)))\/(~((op1 (e11) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e11) (e12)) = (e11)))\/(~((op1 (e11) (e11)) = (e12))))/\((~((op1 (e11) (e13)) = (e11)))\/(~((op1 (e11) (e11)) = (e13)))))))))\/((((op1 (e11) (e12)) = (e11))/\(((op1 (e12) (e11)) = (e11))/\(((~((op1 (e12) (e10)) = (e12)))\/(~((op1 (e12) (e12)) = (e10))))/\(((~((op1 (e12) (e11)) = (e12)))\/(~((op1 (e12) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13)))))))))\/((((op1 (e11) (e13)) = (e11))/\(((op1 (e13) (e11)) = (e11))/\(((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e13) (e13)) = (e10))))/\(((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11))))/\(((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e13) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13)))))))))\/((((op1 (e12) (e10)) = (e12))/\(((op1 (e10) (e12)) = (e12))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11))))/\(((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12))))/\((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))))))))\/((((op1 (e12) (e11)) = (e12))/\(((op1 (e11) (e12)) = (e12))/\(((~((op1 (e11) (e10)) = (e11)))\/(~((op1 (e11) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e11) (e12)) = (e11)))\/(~((op1 (e11) (e11)) = (e12))))/\((~((op1 (e11) (e13)) = (e11)))\/(~((op1 (e11) (e11)) = (e13)))))))))\/((((op1 (e12) (e12)) = (e12))/\(((op1 (e12) (e12)) = (e12))/\(((~((op1 (e12) (e10)) = (e12)))\/(~((op1 (e12) (e12)) = (e10))))/\(((~((op1 (e12) (e11)) = (e12)))\/(~((op1 (e12) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13)))))))))\/((((op1 (e12) (e13)) = (e12))/\(((op1 (e13) (e12)) = (e12))/\(((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e13) (e13)) = (e10))))/\(((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11))))/\(((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e13) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13)))))))))\/((((op1 (e13) (e10)) = (e13))/\(((op1 (e10) (e13)) = (e13))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11))))/\(((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12))))/\((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))))))))\/((((op1 (e13) (e11)) = (e13))/\(((op1 (e11) (e13)) = (e13))/\(((~((op1 (e11) (e10)) = (e11)))\/(~((op1 (e11) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e11) (e12)) = (e11)))\/(~((op1 (e11) (e11)) = (e12))))/\((~((op1 (e11) (e13)) = (e11)))\/(~((op1 (e11) (e11)) = (e13)))))))))\/((((op1 (e13) (e12)) = (e13))/\(((op1 (e12) (e13)) = (e13))/\(((~((op1 (e12) (e10)) = (e12)))\/(~((op1 (e12) (e12)) = (e10))))/\(((~((op1 (e12) (e11)) = (e12)))\/(~((op1 (e12) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13)))))))))\/(((op1 (e13) (e13)) = (e13))/\(((op1 (e13) (e13)) = (e13))/\(((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e13) (e13)) = (e10))))/\(((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11))))/\(((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e13) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13)))))))))))))))))))))))) -> ((e10) = (op1 (e11) (e11))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> ((e22) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> ((e23) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((e20) = (op2 (e21) (e21))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e10)) = (e12))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e13) (e10)) = (e12))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> ((h2 (e12)) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> ((h2 (e11)) = (e21)) -> (~((h2 (op1 (e12) (e11))) = (op2 (h2 (e12)) (h2 (e11))))) -> (~((op2 (e22) (e22)) = (e22))) -> (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (((op1 (e10) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e12) (e11)) = (e13))))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e12) (e13)) = (e10))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> ((((op1 (e10) (op1 (e10) (e10))) = (e10))/\(((op1 (e10) (op1 (e10) (e11))) = (e11))/\(((op1 (e10) (op1 (e10) (e12))) = (e12))/\(((op1 (e10) (op1 (e10) (e13))) = (e13))/\(((~((op1 (e10) (e10)) = (e10)))\/((op1 (e10) (e10)) = (e10)))/\(((~((op1 (e11) (e11)) = (e10)))\/((op1 (e11) (e10)) = (e11)))/\(((~((op1 (e12) (e12)) = (e10)))\/((op1 (e12) (e10)) = (e12)))/\((~((op1 (e13) (e13)) = (e10)))\/((op1 (e13) (e10)) = (e13))))))))))\/((((op1 (e11) (op1 (e11) (e10))) = (e10))/\(((op1 (e11) (op1 (e11) (e11))) = (e11))/\(((op1 (e11) (op1 (e11) (e12))) = (e12))/\(((op1 (e11) (op1 (e11) (e13))) = (e13))/\(((~((op1 (e10) (e10)) = (e11)))\/((op1 (e10) (e11)) = (e10)))/\(((~((op1 (e11) (e11)) = (e11)))\/((op1 (e11) (e11)) = (e11)))/\(((~((op1 (e12) (e12)) = (e11)))\/((op1 (e12) (e11)) = (e12)))/\((~((op1 (e13) (e13)) = (e11)))\/((op1 (e13) (e11)) = (e13))))))))))\/((((op1 (e12) (op1 (e12) (e10))) = (e10))/\(((op1 (e12) (op1 (e12) (e11))) = (e11))/\(((op1 (e12) (op1 (e12) (e12))) = (e12))/\(((op1 (e12) (op1 (e12) (e13))) = (e13))/\(((~((op1 (e10) (e10)) = (e12)))\/((op1 (e10) (e12)) = (e10)))/\(((~((op1 (e11) (e11)) = (e12)))\/((op1 (e11) (e12)) = (e11)))/\(((~((op1 (e12) (e12)) = (e12)))\/((op1 (e12) (e12)) = (e12)))/\((~((op1 (e13) (e13)) = (e12)))\/((op1 (e13) (e12)) = (e13))))))))))\/(((op1 (e13) (op1 (e13) (e10))) = (e10))/\(((op1 (e13) (op1 (e13) (e11))) = (e11))/\(((op1 (e13) (op1 (e13) (e12))) = (e12))/\(((op1 (e13) (op1 (e13) (e13))) = (e13))/\(((~((op1 (e10) (e10)) = (e13)))\/((op1 (e10) (e13)) = (e10)))/\(((~((op1 (e11) (e11)) = (e13)))\/((op1 (e11) (e13)) = (e11)))/\(((~((op1 (e12) (e12)) = (e13)))\/((op1 (e12) (e13)) = (e12)))/\((~((op1 (e13) (e13)) = (e13)))\/((op1 (e13) (e13)) = (e13))))))))))))) -> False).
% 54.96/55.13 do 0 intro. intros zenon_Hdf zenon_H37d zenon_H121 zenon_H101 zenon_H100 zenon_H15f zenon_H15a zenon_H15 zenon_H155 zenon_H154 zenon_H14b zenon_H186 zenon_H180 zenon_H179 zenon_H172 zenon_H16c zenon_H18a zenon_H18e zenon_H192 zenon_H246 zenon_H19d zenon_H1a0 zenon_H25 zenon_H1e zenon_H17 zenon_H1a9 zenon_H209 zenon_H206 zenon_H204 zenon_H1fd zenon_H1fa zenon_H1f7 zenon_H1f4 zenon_H1ed zenon_H1e8 zenon_H1da zenon_H1d8 zenon_H1cc zenon_H1de zenon_H1b1 zenon_H1be zenon_H20c zenon_H21a zenon_H236 zenon_H23b zenon_H245 zenon_H13 zenon_Hb0 zenon_H3f zenon_H3b zenon_H33 zenon_H2c2 zenon_H2c0 zenon_H2b1 zenon_H2ad zenon_H2a5 zenon_H2a3 zenon_H485 zenon_H4c3 zenon_H2b9 zenon_H358 zenon_H328 zenon_H30e zenon_H2c9 zenon_H44f zenon_H270 zenon_H4e9 zenon_Hd7 zenon_Hf1 zenon_H32b zenon_H32e zenon_H2fd zenon_H2fb zenon_H2f6 zenon_H2f8 zenon_H325 zenon_H322 zenon_H321 zenon_H301 zenon_H30b zenon_H313 zenon_H316 zenon_H2ea zenon_H2e2 zenon_H2e6 zenon_H2e7 zenon_H2d9 zenon_H2d1 zenon_H35d zenon_H360 zenon_H345 zenon_H355 zenon_H36e.
% 54.96/55.13 apply (zenon_or_s _ _ zenon_Hdf); [ zenon_intro zenon_H281 | zenon_intro zenon_H37f ].
% 54.96/55.13 apply (zenon_L754_); trivial.
% 54.96/55.13 apply (zenon_L310_); trivial.
% 54.96/55.13 (* end of lemma zenon_L755_ *)
% 54.96/55.13 assert (zenon_L756_ : (((op2 (e20) (e22)) = (e20))/\(((op2 (e22) (e20)) = (e20))/\(((~((op2 (e22) (e20)) = (e22)))\/(~((op2 (e22) (e22)) = (e20))))/\(((~((op2 (e22) (e21)) = (e22)))\/(~((op2 (e22) (e22)) = (e21))))/\(((~((op2 (e22) (e22)) = (e22)))\/(~((op2 (e22) (e22)) = (e22))))/\((~((op2 (e22) (e23)) = (e22)))\/(~((op2 (e22) (e22)) = (e23))))))))) -> ((((op1 (e10) (op1 (e10) (e10))) = (e10))/\(((op1 (e10) (op1 (e10) (e11))) = (e11))/\(((op1 (e10) (op1 (e10) (e12))) = (e12))/\(((op1 (e10) (op1 (e10) (e13))) = (e13))/\(((~((op1 (e10) (e10)) = (e10)))\/((op1 (e10) (e10)) = (e10)))/\(((~((op1 (e11) (e11)) = (e10)))\/((op1 (e11) (e10)) = (e11)))/\(((~((op1 (e12) (e12)) = (e10)))\/((op1 (e12) (e10)) = (e12)))/\((~((op1 (e13) (e13)) = (e10)))\/((op1 (e13) (e10)) = (e13))))))))))\/((((op1 (e11) (op1 (e11) (e10))) = (e10))/\(((op1 (e11) (op1 (e11) (e11))) = (e11))/\(((op1 (e11) (op1 (e11) (e12))) = (e12))/\(((op1 (e11) (op1 (e11) (e13))) = (e13))/\(((~((op1 (e10) (e10)) = (e11)))\/((op1 (e10) (e11)) = (e10)))/\(((~((op1 (e11) (e11)) = (e11)))\/((op1 (e11) (e11)) = (e11)))/\(((~((op1 (e12) (e12)) = (e11)))\/((op1 (e12) (e11)) = (e12)))/\((~((op1 (e13) (e13)) = (e11)))\/((op1 (e13) (e11)) = (e13))))))))))\/((((op1 (e12) (op1 (e12) (e10))) = (e10))/\(((op1 (e12) (op1 (e12) (e11))) = (e11))/\(((op1 (e12) (op1 (e12) (e12))) = (e12))/\(((op1 (e12) (op1 (e12) (e13))) = (e13))/\(((~((op1 (e10) (e10)) = (e12)))\/((op1 (e10) (e12)) = (e10)))/\(((~((op1 (e11) (e11)) = (e12)))\/((op1 (e11) (e12)) = (e11)))/\(((~((op1 (e12) (e12)) = (e12)))\/((op1 (e12) (e12)) = (e12)))/\((~((op1 (e13) (e13)) = (e12)))\/((op1 (e13) (e12)) = (e13))))))))))\/(((op1 (e13) (op1 (e13) (e10))) = (e10))/\(((op1 (e13) (op1 (e13) (e11))) = (e11))/\(((op1 (e13) (op1 (e13) (e12))) = (e12))/\(((op1 (e13) (op1 (e13) (e13))) = (e13))/\(((~((op1 (e10) (e10)) = (e13)))\/((op1 (e10) (e13)) = (e10)))/\(((~((op1 (e11) (e11)) = (e13)))\/((op1 (e11) (e13)) = (e11)))/\(((~((op1 (e12) (e12)) = (e13)))\/((op1 (e12) (e13)) = (e12)))/\((~((op1 (e13) (e13)) = (e13)))\/((op1 (e13) (e13)) = (e13))))))))))))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e12) (e13)) = (e10))))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e12) (e11)) = (e13))))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> (~((h2 (op1 (e12) (e11))) = (op2 (h2 (e12)) (h2 (e11))))) -> ((h2 (e11)) = (e21)) -> ((h2 (e12)) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e10)) = (e12))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e13) (e10)) = (e12))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> ((e20) = (op2 (e21) (e21))) -> ((e23) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((e22) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> ((e10) = (op1 (e11) (e11))) -> ((((op1 (e10) (e10)) = (e10))/\(((op1 (e10) (e10)) = (e10))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11))))/\(((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12))))/\((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))))))))\/((((op1 (e10) (e11)) = (e10))/\(((op1 (e11) (e10)) = (e10))/\(((~((op1 (e11) (e10)) = (e11)))\/(~((op1 (e11) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e11) (e12)) = (e11)))\/(~((op1 (e11) (e11)) = (e12))))/\((~((op1 (e11) (e13)) = (e11)))\/(~((op1 (e11) (e11)) = (e13)))))))))\/((((op1 (e10) (e12)) = (e10))/\(((op1 (e12) (e10)) = (e10))/\(((~((op1 (e12) (e10)) = (e12)))\/(~((op1 (e12) (e12)) = (e10))))/\(((~((op1 (e12) (e11)) = (e12)))\/(~((op1 (e12) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13)))))))))\/((((op1 (e10) (e13)) = (e10))/\(((op1 (e13) (e10)) = (e10))/\(((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e13) (e13)) = (e10))))/\(((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11))))/\(((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e13) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13)))))))))\/((((op1 (e11) (e10)) = (e11))/\(((op1 (e10) (e11)) = (e11))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11))))/\(((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12))))/\((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))))))))\/((((op1 (e11) (e11)) = (e11))/\(((op1 (e11) (e11)) = (e11))/\(((~((op1 (e11) (e10)) = (e11)))\/(~((op1 (e11) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e11) (e12)) = (e11)))\/(~((op1 (e11) (e11)) = (e12))))/\((~((op1 (e11) (e13)) = (e11)))\/(~((op1 (e11) (e11)) = (e13)))))))))\/((((op1 (e11) (e12)) = (e11))/\(((op1 (e12) (e11)) = (e11))/\(((~((op1 (e12) (e10)) = (e12)))\/(~((op1 (e12) (e12)) = (e10))))/\(((~((op1 (e12) (e11)) = (e12)))\/(~((op1 (e12) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13)))))))))\/((((op1 (e11) (e13)) = (e11))/\(((op1 (e13) (e11)) = (e11))/\(((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e13) (e13)) = (e10))))/\(((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11))))/\(((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e13) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13)))))))))\/((((op1 (e12) (e10)) = (e12))/\(((op1 (e10) (e12)) = (e12))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11))))/\(((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12))))/\((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))))))))\/((((op1 (e12) (e11)) = (e12))/\(((op1 (e11) (e12)) = (e12))/\(((~((op1 (e11) (e10)) = (e11)))\/(~((op1 (e11) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e11) (e12)) = (e11)))\/(~((op1 (e11) (e11)) = (e12))))/\((~((op1 (e11) (e13)) = (e11)))\/(~((op1 (e11) (e11)) = (e13)))))))))\/((((op1 (e12) (e12)) = (e12))/\(((op1 (e12) (e12)) = (e12))/\(((~((op1 (e12) (e10)) = (e12)))\/(~((op1 (e12) (e12)) = (e10))))/\(((~((op1 (e12) (e11)) = (e12)))\/(~((op1 (e12) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13)))))))))\/((((op1 (e12) (e13)) = (e12))/\(((op1 (e13) (e12)) = (e12))/\(((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e13) (e13)) = (e10))))/\(((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11))))/\(((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e13) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13)))))))))\/((((op1 (e13) (e10)) = (e13))/\(((op1 (e10) (e13)) = (e13))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11))))/\(((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12))))/\((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))))))))\/((((op1 (e13) (e11)) = (e13))/\(((op1 (e11) (e13)) = (e13))/\(((~((op1 (e11) (e10)) = (e11)))\/(~((op1 (e11) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e11) (e12)) = (e11)))\/(~((op1 (e11) (e11)) = (e12))))/\((~((op1 (e11) (e13)) = (e11)))\/(~((op1 (e11) (e11)) = (e13)))))))))\/((((op1 (e13) (e12)) = (e13))/\(((op1 (e12) (e13)) = (e13))/\(((~((op1 (e12) (e10)) = (e12)))\/(~((op1 (e12) (e12)) = (e10))))/\(((~((op1 (e12) (e11)) = (e12)))\/(~((op1 (e12) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13)))))))))\/(((op1 (e13) (e13)) = (e13))/\(((op1 (e13) (e13)) = (e13))/\(((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e13) (e13)) = (e10))))/\(((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11))))/\(((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e13) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13)))))))))))))))))))))))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((e12) = (e13))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e13) (e13)) = (e10))\/(((op1 (e13) (e13)) = (e11))\/(((op1 (e13) (e13)) = (e12))\/((op1 (e13) (e13)) = (e13))))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (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) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e11)) = (e12))\/((op1 (e10) (e11)) = (e13))))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((e10) = (e12))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> ((e12) = (op1 (op1 (op1 (e11) (e11)) (op1 (e11) (e11))) (op1 (e11) (e11)))) -> ((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e12))\/((op1 (e11) (e10)) = (e13))))) -> (((op2 (e22) (e22)) = (e20))\/(((op2 (e22) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e22)) = (e23))))) -> (~((op2 (e22) (e22)) = (e21))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> False).
% 54.96/55.13 do 0 intro. intros zenon_H77 zenon_H36e zenon_H355 zenon_H345 zenon_H360 zenon_H35d zenon_H2d1 zenon_H2d9 zenon_H2e7 zenon_H2e6 zenon_H2e2 zenon_H2ea zenon_H316 zenon_H313 zenon_H30b zenon_H301 zenon_H321 zenon_H322 zenon_H325 zenon_H2f8 zenon_H2f6 zenon_H2fb zenon_H2fd zenon_H32e zenon_H32b zenon_Hf1 zenon_H4e9 zenon_H270 zenon_H44f zenon_H2c9 zenon_H30e zenon_H328 zenon_H358 zenon_H2b9 zenon_H4c3 zenon_H485 zenon_H2a3 zenon_H2a5 zenon_H2ad zenon_H2b1 zenon_H2c0 zenon_H2c2 zenon_H33 zenon_H3b zenon_H3f zenon_Hb0 zenon_H13 zenon_H245 zenon_H23b zenon_H236 zenon_H21a zenon_H20c zenon_H1be zenon_H1b1 zenon_H1de zenon_H1cc zenon_H1d8 zenon_H1da zenon_H1e8 zenon_H1ed zenon_H1f4 zenon_H1f7 zenon_H1fa zenon_H1fd zenon_H204 zenon_H206 zenon_H209 zenon_H1a9 zenon_H17 zenon_H1e zenon_H25 zenon_H1a0 zenon_H19d zenon_H246 zenon_H192 zenon_H18e zenon_H18a zenon_H16c zenon_H172 zenon_H179 zenon_H180 zenon_H186 zenon_H14b zenon_H154 zenon_H155 zenon_H15 zenon_H15a zenon_H15f zenon_H100 zenon_H101 zenon_H37d.
% 54.96/55.13 apply (zenon_and_s _ _ zenon_H77). zenon_intro zenon_H57. zenon_intro zenon_H78.
% 54.96/55.13 apply (zenon_and_s _ _ zenon_H78). zenon_intro zenon_H121. zenon_intro zenon_Hda.
% 54.96/55.13 apply (zenon_and_s _ _ zenon_Hda). zenon_intro zenon_Hdc. zenon_intro zenon_Hdb.
% 54.96/55.13 apply (zenon_and_s _ _ zenon_Hdb). zenon_intro zenon_Hde. zenon_intro zenon_Hdd.
% 54.96/55.13 apply (zenon_and_s _ _ zenon_Hdd). zenon_intro zenon_Hd5. zenon_intro zenon_Hdf.
% 54.96/55.13 apply (zenon_or_s _ _ zenon_Hd5); [ zenon_intro zenon_Hd7 | zenon_intro zenon_Hd7 ].
% 54.96/55.13 apply (zenon_L755_); trivial.
% 54.96/55.13 apply (zenon_L755_); trivial.
% 54.96/55.13 (* end of lemma zenon_L756_ *)
% 54.96/55.13 assert (zenon_L757_ : (((op2 (e21) (e22)) = (e20))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e22)) = (e23))))) -> (~((op2 (e21) (e21)) = (op2 (e21) (e22)))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> ((e22) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> (((op2 (e21) (e20)) = (e20))\/(((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e20)) = (e22))\/((op2 (e21) (e20)) = (e23))))) -> ((op2 (e22) (e22)) = (e22)) -> ((op2 (e21) (op2 (e21) (e22))) = (e22)) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> ((e23) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((op2 (e21) (e21)) = (e22)) -> ((e20) = (op2 (e21) (e21))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> False).
% 54.96/55.13 do 0 intro. intros zenon_H40f zenon_H7a zenon_H45 zenon_H3e zenon_H3f zenon_Hc5 zenon_H32 zenon_H4a zenon_Hd6 zenon_H481 zenon_H40c zenon_H3b zenon_H401 zenon_H33 zenon_H437.
% 54.96/55.13 apply (zenon_or_s _ _ zenon_H40f); [ zenon_intro zenon_H79 | zenon_intro zenon_H410 ].
% 54.96/55.13 apply (zenon_L20_); trivial.
% 54.96/55.13 apply (zenon_or_s _ _ zenon_H410); [ zenon_intro zenon_Hc4 | zenon_intro zenon_H411 ].
% 54.96/55.13 apply (zenon_L34_); trivial.
% 54.96/55.13 apply (zenon_or_s _ _ zenon_H411); [ zenon_intro zenon_Hd4 | zenon_intro zenon_H38e ].
% 54.96/55.13 apply (zenon_L679_); trivial.
% 54.96/55.13 apply (zenon_L449_); trivial.
% 54.96/55.13 (* end of lemma zenon_L757_ *)
% 54.96/55.13 assert (zenon_L758_ : (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> (~((op1 (e12) (e13)) = (e12))) -> (~((op1 (e12) (e12)) = (e12))) -> (~((h2 (op1 (e12) (e11))) = (op2 (h2 (e12)) (h2 (e11))))) -> ((h2 (e12)) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> ((h2 (e11)) = (e21)) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> ((e12) = (op1 (op1 (op1 (e11) (e11)) (op1 (e11) (e11))) (op1 (e11) (e11)))) -> ((e10) = (op1 (e11) (e11))) -> ((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> ((op2 (e21) (e21)) = (e22)) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> ((op2 (e21) (op2 (e21) (e22))) = (e22)) -> (((op2 (e21) (e20)) = (e20))\/(((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e20)) = (e22))\/((op2 (e21) (e20)) = (e23))))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (~((op2 (e21) (e21)) = (op2 (e21) (e22)))) -> (((op2 (e21) (e22)) = (e20))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e22)) = (e23))))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (e20))) -> ((op2 (e20) (e21)) = (e21)) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> ((op2 (e23) (e20)) = (e22)) -> ((op2 (e21) (e22)) = (e22)) -> ((e22) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> ((e23) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((e20) = (op2 (e21) (e21))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> False).
% 54.96/55.14 do 0 intro. intros zenon_Hf1 zenon_Hb0 zenon_H27d zenon_H1d1 zenon_H4e9 zenon_H44f zenon_H270 zenon_H21a zenon_H155 zenon_H13 zenon_H15 zenon_H23b zenon_H437 zenon_H401 zenon_H40c zenon_H481 zenon_H4a zenon_H32 zenon_Hc5 zenon_H3e zenon_H45 zenon_H7a zenon_H40f zenon_H489 zenon_Had zenon_Hb9 zenon_H3c2 zenon_H116 zenon_H58 zenon_Hd4 zenon_H3f zenon_H3b zenon_H33 zenon_H9f.
% 54.96/55.14 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_Hb1 | zenon_intro zenon_Hf3 ].
% 54.96/55.14 apply (zenon_L30_); trivial.
% 54.96/55.14 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_Hd3 | zenon_intro zenon_Hf4 ].
% 54.96/55.14 apply (zenon_L744_); trivial.
% 54.96/55.14 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_Hd6 | zenon_intro zenon_He2 ].
% 54.96/55.14 apply (zenon_L757_); trivial.
% 54.96/55.14 apply (zenon_L683_); trivial.
% 54.96/55.14 (* end of lemma zenon_L758_ *)
% 54.96/55.14 assert (zenon_L759_ : ((e22) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> ((op2 (e23) (e20)) = (e22)) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e21) (e22)) = (e20))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e22)) = (e23))))) -> (~((op2 (e21) (e21)) = (op2 (e21) (e22)))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> (((op2 (e21) (e20)) = (e20))\/(((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e20)) = (e22))\/((op2 (e21) (e20)) = (e23))))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> ((op2 (e21) (e21)) = (e22)) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> ((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) -> ((e10) = (op1 (e11) (e11))) -> ((e12) = (op1 (op1 (op1 (e11) (e11)) (op1 (e11) (e11))) (op1 (e11) (e11)))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> ((h2 (e11)) = (e21)) -> ((h2 (e12)) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> (~((h2 (op1 (e12) (e11))) = (op2 (h2 (e12)) (h2 (e11))))) -> (~((op1 (e12) (e12)) = (e12))) -> (~((op1 (e12) (e13)) = (e12))) -> (~((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)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (e20))) -> ((op2 (e20) (e21)) = (e21)) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> ((op2 (e21) (op2 (e21) (e22))) = (e22)) -> ((e23) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((e20) = (op2 (e21) (e21))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> False).
% 54.96/55.14 do 0 intro. intros zenon_H3f zenon_H58 zenon_H116 zenon_H40f zenon_H7a zenon_H45 zenon_H3e zenon_Hc5 zenon_H32 zenon_H4a zenon_H40c zenon_H401 zenon_H437 zenon_H23b zenon_H15 zenon_H13 zenon_H155 zenon_H21a zenon_H270 zenon_H44f zenon_H4e9 zenon_H1d1 zenon_H27d zenon_Hb0 zenon_Hf1 zenon_H489 zenon_Had zenon_Hb9 zenon_H3c2 zenon_H3a8 zenon_H481 zenon_H3b zenon_H33 zenon_H9f.
% 54.96/55.14 apply (zenon_or_s _ _ zenon_H40f); [ zenon_intro zenon_H79 | zenon_intro zenon_H410 ].
% 54.96/55.14 apply (zenon_L20_); trivial.
% 54.96/55.14 apply (zenon_or_s _ _ zenon_H410); [ zenon_intro zenon_Hc4 | zenon_intro zenon_H411 ].
% 54.96/55.14 apply (zenon_L34_); trivial.
% 54.96/55.14 apply (zenon_or_s _ _ zenon_H411); [ zenon_intro zenon_Hd4 | zenon_intro zenon_H38e ].
% 54.96/55.14 apply (zenon_L758_); trivial.
% 54.96/55.14 apply (zenon_L590_); trivial.
% 54.96/55.14 (* end of lemma zenon_L759_ *)
% 54.96/55.14 assert (zenon_L760_ : (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> ((~((op1 (e13) (e13)) = (e11)))\/((op1 (e13) (e11)) = (e13))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e12))\/((op1 (e11) (e10)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> ((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) -> ((e12) = (op1 (op1 (op1 (e11) (e11)) (op1 (e11) (e11))) (op1 (e11) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> ((e10) = (op1 (e11) (e11))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> ((op1 (e11) (op1 (e11) (e10))) = (e10)) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (~((h2 (op1 (e12) (e11))) = (op2 (h2 (e12)) (h2 (e11))))) -> ((h2 (e11)) = (e21)) -> ((h2 (e12)) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((e10) = (e12))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e11) (op1 (e11) (e13))) = (e13)) -> ((op1 (e11) (op1 (e11) (e12))) = (e12)) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e10)) = (e12))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e13) (e10)) = (e12))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> ((op1 (e11) (op1 (e11) (e11))) = (e11)) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e13)) = (e10))\/(((op1 (e13) (e13)) = (e11))\/(((op1 (e13) (e13)) = (e12))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> ((((op1 (e10) (e10)) = (e10))/\(((op1 (e10) (e10)) = (e10))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11))))/\(((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12))))/\((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))))))))\/((((op1 (e10) (e11)) = (e10))/\(((op1 (e11) (e10)) = (e10))/\(((~((op1 (e11) (e10)) = (e11)))\/(~((op1 (e11) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e11) (e12)) = (e11)))\/(~((op1 (e11) (e11)) = (e12))))/\((~((op1 (e11) (e13)) = (e11)))\/(~((op1 (e11) (e11)) = (e13)))))))))\/((((op1 (e10) (e12)) = (e10))/\(((op1 (e12) (e10)) = (e10))/\(((~((op1 (e12) (e10)) = (e12)))\/(~((op1 (e12) (e12)) = (e10))))/\(((~((op1 (e12) (e11)) = (e12)))\/(~((op1 (e12) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13)))))))))\/((((op1 (e10) (e13)) = (e10))/\(((op1 (e13) (e10)) = (e10))/\(((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e13) (e13)) = (e10))))/\(((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11))))/\(((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e13) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13)))))))))\/((((op1 (e11) (e10)) = (e11))/\(((op1 (e10) (e11)) = (e11))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11))))/\(((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12))))/\((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))))))))\/((((op1 (e11) (e11)) = (e11))/\(((op1 (e11) (e11)) = (e11))/\(((~((op1 (e11) (e10)) = (e11)))\/(~((op1 (e11) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e11) (e12)) = (e11)))\/(~((op1 (e11) (e11)) = (e12))))/\((~((op1 (e11) (e13)) = (e11)))\/(~((op1 (e11) (e11)) = (e13)))))))))\/((((op1 (e11) (e12)) = (e11))/\(((op1 (e12) (e11)) = (e11))/\(((~((op1 (e12) (e10)) = (e12)))\/(~((op1 (e12) (e12)) = (e10))))/\(((~((op1 (e12) (e11)) = (e12)))\/(~((op1 (e12) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13)))))))))\/((((op1 (e11) (e13)) = (e11))/\(((op1 (e13) (e11)) = (e11))/\(((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e13) (e13)) = (e10))))/\(((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11))))/\(((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e13) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13)))))))))\/((((op1 (e12) (e10)) = (e12))/\(((op1 (e10) (e12)) = (e12))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11))))/\(((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12))))/\((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))))))))\/((((op1 (e12) (e11)) = (e12))/\(((op1 (e11) (e12)) = (e12))/\(((~((op1 (e11) (e10)) = (e11)))\/(~((op1 (e11) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e11) (e12)) = (e11)))\/(~((op1 (e11) (e11)) = (e12))))/\((~((op1 (e11) (e13)) = (e11)))\/(~((op1 (e11) (e11)) = (e13)))))))))\/((((op1 (e12) (e12)) = (e12))/\(((op1 (e12) (e12)) = (e12))/\(((~((op1 (e12) (e10)) = (e12)))\/(~((op1 (e12) (e12)) = (e10))))/\(((~((op1 (e12) (e11)) = (e12)))\/(~((op1 (e12) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13)))))))))\/((((op1 (e12) (e13)) = (e12))/\(((op1 (e13) (e12)) = (e12))/\(((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e13) (e13)) = (e10))))/\(((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11))))/\(((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e13) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13)))))))))\/((((op1 (e13) (e10)) = (e13))/\(((op1 (e10) (e13)) = (e13))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11))))/\(((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12))))/\((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))))))))\/((((op1 (e13) (e11)) = (e13))/\(((op1 (e11) (e13)) = (e13))/\(((~((op1 (e11) (e10)) = (e11)))\/(~((op1 (e11) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e11) (e12)) = (e11)))\/(~((op1 (e11) (e11)) = (e12))))/\((~((op1 (e11) (e13)) = (e11)))\/(~((op1 (e11) (e11)) = (e13)))))))))\/((((op1 (e13) (e12)) = (e13))/\(((op1 (e12) (e13)) = (e13))/\(((~((op1 (e12) (e10)) = (e12)))\/(~((op1 (e12) (e12)) = (e10))))/\(((~((op1 (e12) (e11)) = (e12)))\/(~((op1 (e12) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13)))))))))\/(((op1 (e13) (e13)) = (e13))/\(((op1 (e13) (e13)) = (e13))/\(((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e13) (e13)) = (e10))))/\(((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11))))/\(((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e13) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13)))))))))))))))))))))))) -> ((~((op1 (e12) (e12)) = (e11)))\/((op1 (e12) (e11)) = (e12))) -> ((op2 (e21) (op2 (e21) (e22))) = (e22)) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (e20))) -> ((op2 (e20) (e21)) = (e21)) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> ((op2 (e23) (e20)) = (e22)) -> ((op2 (e21) (e22)) = (e22)) -> ((e22) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> ((e23) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((e20) = (op2 (e21) (e21))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> False).
% 54.96/55.14 do 0 intro. intros zenon_Hf1 zenon_Hb0 zenon_H37b zenon_H15f zenon_H15a zenon_H15 zenon_H155 zenon_H154 zenon_H13 zenon_H14b zenon_H1da zenon_H292 zenon_H1de zenon_H21a zenon_H4e9 zenon_H270 zenon_H44f zenon_H23b zenon_H16c zenon_H172 zenon_H179 zenon_H180 zenon_H186 zenon_H1fa zenon_H2c9 zenon_H1f4 zenon_H29e zenon_H375 zenon_H30e zenon_H328 zenon_H1e8 zenon_H1a9 zenon_H209 zenon_H1f7 zenon_H358 zenon_H204 zenon_H1cc zenon_H2b9 zenon_H4c3 zenon_H485 zenon_H246 zenon_H19d zenon_H1a0 zenon_H25 zenon_H1e zenon_H17 zenon_H18e zenon_H1d8 zenon_H2a3 zenon_H2a5 zenon_H2a6 zenon_H2ad zenon_H2b1 zenon_H1be zenon_H18a zenon_H20c zenon_H2c0 zenon_H2c2 zenon_H245 zenon_H37c zenon_H481 zenon_H40c zenon_H489 zenon_Had zenon_Hb9 zenon_H3c2 zenon_H116 zenon_H58 zenon_Hd4 zenon_H3f zenon_H3b zenon_H33 zenon_H9f.
% 54.96/55.14 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_Hb1 | zenon_intro zenon_Hf3 ].
% 54.96/55.14 apply (zenon_L30_); trivial.
% 54.96/55.14 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_Hd3 | zenon_intro zenon_Hf4 ].
% 54.96/55.14 apply (zenon_L753_); trivial.
% 54.96/55.14 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_Hd6 | zenon_intro zenon_He2 ].
% 54.96/55.14 apply (zenon_L679_); trivial.
% 54.96/55.14 apply (zenon_L683_); trivial.
% 54.96/55.14 (* end of lemma zenon_L760_ *)
% 54.96/55.14 assert (zenon_L761_ : ((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13)))) -> (~((op1 (e12) (e12)) = (e11))) -> ((op1 (e10) (e12)) = (e10)) -> ((op1 (e12) (e10)) = (e10)) -> (~((op2 (e20) (e20)) = (e22))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> ((e22) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> ((e23) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((e20) = (op2 (e21) (e21))) -> (~((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)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e21)) = (e22))\/((op2 (e23) (e21)) = (e23))))) -> ((op2 (e21) (op2 (e21) (e23))) = (e23)) -> (~((op2 (e21) (e22)) = (op2 (e21) (e23)))) -> (((op2 (e21) (e20)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/((op2 (e21) (e23)) = (e23))))) -> ((~((op1 (e12) (e12)) = (e11)))\/((op1 (e12) (e11)) = (e12))) -> ((((op1 (e10) (e10)) = (e10))/\(((op1 (e10) (e10)) = (e10))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11))))/\(((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12))))/\((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))))))))\/((((op1 (e10) (e11)) = (e10))/\(((op1 (e11) (e10)) = (e10))/\(((~((op1 (e11) (e10)) = (e11)))\/(~((op1 (e11) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e11) (e12)) = (e11)))\/(~((op1 (e11) (e11)) = (e12))))/\((~((op1 (e11) (e13)) = (e11)))\/(~((op1 (e11) (e11)) = (e13)))))))))\/((((op1 (e10) (e12)) = (e10))/\(((op1 (e12) (e10)) = (e10))/\(((~((op1 (e12) (e10)) = (e12)))\/(~((op1 (e12) (e12)) = (e10))))/\(((~((op1 (e12) (e11)) = (e12)))\/(~((op1 (e12) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13)))))))))\/((((op1 (e10) (e13)) = (e10))/\(((op1 (e13) (e10)) = (e10))/\(((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e13) (e13)) = (e10))))/\(((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11))))/\(((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e13) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13)))))))))\/((((op1 (e11) (e10)) = (e11))/\(((op1 (e10) (e11)) = (e11))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11))))/\(((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12))))/\((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))))))))\/((((op1 (e11) (e11)) = (e11))/\(((op1 (e11) (e11)) = (e11))/\(((~((op1 (e11) (e10)) = (e11)))\/(~((op1 (e11) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e11) (e12)) = (e11)))\/(~((op1 (e11) (e11)) = (e12))))/\((~((op1 (e11) (e13)) = (e11)))\/(~((op1 (e11) (e11)) = (e13)))))))))\/((((op1 (e11) (e12)) = (e11))/\(((op1 (e12) (e11)) = (e11))/\(((~((op1 (e12) (e10)) = (e12)))\/(~((op1 (e12) (e12)) = (e10))))/\(((~((op1 (e12) (e11)) = (e12)))\/(~((op1 (e12) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13)))))))))\/((((op1 (e11) (e13)) = (e11))/\(((op1 (e13) (e11)) = (e11))/\(((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e13) (e13)) = (e10))))/\(((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11))))/\(((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e13) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13)))))))))\/((((op1 (e12) (e10)) = (e12))/\(((op1 (e10) (e12)) = (e12))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11))))/\(((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12))))/\((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))))))))\/((((op1 (e12) (e11)) = (e12))/\(((op1 (e11) (e12)) = (e12))/\(((~((op1 (e11) (e10)) = (e11)))\/(~((op1 (e11) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e11) (e12)) = (e11)))\/(~((op1 (e11) (e11)) = (e12))))/\((~((op1 (e11) (e13)) = (e11)))\/(~((op1 (e11) (e11)) = (e13)))))))))\/((((op1 (e12) (e12)) = (e12))/\(((op1 (e12) (e12)) = (e12))/\(((~((op1 (e12) (e10)) = (e12)))\/(~((op1 (e12) (e12)) = (e10))))/\(((~((op1 (e12) (e11)) = (e12)))\/(~((op1 (e12) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13)))))))))\/((((op1 (e12) (e13)) = (e12))/\(((op1 (e13) (e12)) = (e12))/\(((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e13) (e13)) = (e10))))/\(((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11))))/\(((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e13) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13)))))))))\/((((op1 (e13) (e10)) = (e13))/\(((op1 (e10) (e13)) = (e13))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11))))/\(((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12))))/\((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))))))))\/((((op1 (e13) (e11)) = (e13))/\(((op1 (e11) (e13)) = (e13))/\(((~((op1 (e11) (e10)) = (e11)))\/(~((op1 (e11) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e11) (e12)) = (e11)))\/(~((op1 (e11) (e11)) = (e12))))/\((~((op1 (e11) (e13)) = (e11)))\/(~((op1 (e11) (e11)) = (e13)))))))))\/((((op1 (e13) (e12)) = (e13))/\(((op1 (e12) (e13)) = (e13))/\(((~((op1 (e12) (e10)) = (e12)))\/(~((op1 (e12) (e12)) = (e10))))/\(((~((op1 (e12) (e11)) = (e12)))\/(~((op1 (e12) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13)))))))))\/(((op1 (e13) (e13)) = (e13))/\(((op1 (e13) (e13)) = (e13))/\(((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e13) (e13)) = (e10))))/\(((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11))))/\(((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e13) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13)))))))))))))))))))))))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e13) (e13)) = (e10))\/(((op1 (e13) (e13)) = (e11))\/(((op1 (e13) (e13)) = (e12))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> ((op1 (e11) (op1 (e11) (e11))) = (e11)) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e10)) = (e12))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e13) (e10)) = (e12))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> ((op1 (e11) (op1 (e11) (e12))) = (e12)) -> ((op1 (e11) (op1 (e11) (e13))) = (e13)) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((e10) = (e12))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> ((op1 (e11) (op1 (e11) (e10))) = (e10)) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e12))\/((op1 (e11) (e10)) = (e13))))) -> ((~((op1 (e13) (e13)) = (e11)))\/((op1 (e13) (e11)) = (e13))) -> (~((op2 (e21) (e21)) = (op2 (e21) (e22)))) -> (((op2 (e21) (e20)) = (e20))\/(((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e20)) = (e22))\/((op2 (e21) (e20)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> (~((op2 (e20) (e23)) = (e20))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> ((op2 (e20) (e21)) = (e21)) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> ((op2 (e21) (op2 (e21) (e22))) = (e22)) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (((op2 (e21) (e22)) = (e20))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e22)) = (e23))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> ((e12) = (op1 (op1 (op1 (e11) (e11)) (op1 (e11) (e11))) (op1 (e11) (e11)))) -> ((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) -> ((e10) = (op1 (e11) (e11))) -> (~((h2 (op1 (e12) (e11))) = (op2 (h2 (e12)) (h2 (e11))))) -> ((h2 (e11)) = (e21)) -> ((h2 (e12)) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> (~((op1 (e12) (e12)) = (e12))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (((op2 (e20) (e20)) = (e22))\/(((op2 (e21) (e20)) = (e22))\/(((op2 (e22) (e20)) = (e22))\/((op2 (e23) (e20)) = (e22))))) -> False).
% 54.96/55.14 do 0 intro. intros zenon_H22c zenon_H23f zenon_H18f zenon_H293 zenon_Hbd zenon_H3e zenon_H3f zenon_H3b zenon_H33 zenon_Hb0 zenon_H4ae zenon_H3b4 zenon_H39d zenon_H282 zenon_H60 zenon_H3af zenon_H3b1 zenon_H395 zenon_H47a zenon_H399 zenon_H37c zenon_H245 zenon_H2c2 zenon_H2c0 zenon_H20c zenon_H18a zenon_H1be zenon_H2b1 zenon_H2ad zenon_H2a6 zenon_H2a5 zenon_H2a3 zenon_H1d8 zenon_H18e zenon_H17 zenon_H1e zenon_H25 zenon_H1a0 zenon_H19d zenon_H246 zenon_H485 zenon_H4c3 zenon_H2b9 zenon_H1cc zenon_H204 zenon_H358 zenon_H1f7 zenon_H209 zenon_H1a9 zenon_H1e8 zenon_H328 zenon_H30e zenon_H375 zenon_H29e zenon_H1f4 zenon_H2c9 zenon_H1fa zenon_H186 zenon_H180 zenon_H179 zenon_H172 zenon_H16c zenon_H1de zenon_H292 zenon_H1da zenon_H14b zenon_H154 zenon_H15a zenon_H15f zenon_H37b zenon_H7a zenon_H4a zenon_H45 zenon_Hc5 zenon_H32 zenon_Hf1 zenon_Had zenon_H3c2 zenon_Hb9 zenon_H116 zenon_H9f zenon_H489 zenon_H40c zenon_H481 zenon_H437 zenon_H40f zenon_H21a zenon_H155 zenon_H15 zenon_H13 zenon_H4e9 zenon_H270 zenon_H44f zenon_H1d1 zenon_H23b zenon_H3a8 zenon_Hb7.
% 54.96/55.14 apply (zenon_or_s _ _ zenon_H22c); [ zenon_intro zenon_H27d | zenon_intro zenon_H29d ].
% 54.96/55.14 apply (zenon_or_s _ _ zenon_Hb7); [ zenon_intro zenon_Hbf | zenon_intro zenon_Hbe ].
% 54.96/55.14 exact (zenon_Hbd zenon_Hbf).
% 54.96/55.14 apply (zenon_or_s _ _ zenon_Hbe); [ zenon_intro zenon_H40 | zenon_intro zenon_Hc0 ].
% 54.96/55.14 apply (zenon_L8_); trivial.
% 54.96/55.14 apply (zenon_or_s _ _ zenon_Hc0); [ zenon_intro zenon_Hb1 | zenon_intro zenon_H58 ].
% 54.96/55.14 apply (zenon_L30_); trivial.
% 54.96/55.14 apply (zenon_or_s _ _ zenon_H4ae); [ zenon_intro zenon_H40 | zenon_intro zenon_H4af ].
% 54.96/55.14 apply (zenon_L8_); trivial.
% 54.96/55.14 apply (zenon_or_s _ _ zenon_H4af); [ zenon_intro zenon_H401 | zenon_intro zenon_H4b0 ].
% 54.96/55.14 apply (zenon_L759_); trivial.
% 54.96/55.14 apply (zenon_or_s _ _ zenon_H4b0); [ zenon_intro zenon_Hd4 | zenon_intro zenon_H478 ].
% 54.96/55.14 apply (zenon_L760_); trivial.
% 54.96/55.14 apply (zenon_L712_); trivial.
% 54.96/55.14 apply (zenon_L144_); trivial.
% 54.96/55.14 (* end of lemma zenon_L761_ *)
% 54.96/55.14 assert (zenon_L762_ : (((op1 (e10) (e12)) = (e10))/\(((op1 (e12) (e10)) = (e10))/\(((~((op1 (e12) (e10)) = (e12)))\/(~((op1 (e12) (e12)) = (e10))))/\(((~((op1 (e12) (e11)) = (e12)))\/(~((op1 (e12) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13))))))))) -> (((op2 (e20) (e20)) = (e22))\/(((op2 (e21) (e20)) = (e22))\/(((op2 (e22) (e20)) = (e22))\/((op2 (e23) (e20)) = (e22))))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> ((h2 (e12)) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> ((h2 (e11)) = (e21)) -> (~((h2 (op1 (e12) (e11))) = (op2 (h2 (e12)) (h2 (e11))))) -> ((e10) = (op1 (e11) (e11))) -> ((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) -> ((e12) = (op1 (op1 (op1 (e11) (e11)) (op1 (e11) (e11))) (op1 (e11) (e11)))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op2 (e21) (e22)) = (e20))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e22)) = (e23))))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> ((op2 (e21) (op2 (e21) (e22))) = (e22)) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> ((op2 (e20) (e21)) = (e21)) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e23)) = (e20))) -> (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (((op2 (e21) (e20)) = (e20))\/(((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e20)) = (e22))\/((op2 (e21) (e20)) = (e23))))) -> (~((op2 (e21) (e21)) = (op2 (e21) (e22)))) -> ((~((op1 (e13) (e13)) = (e11)))\/((op1 (e13) (e11)) = (e13))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e12))\/((op1 (e11) (e10)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> ((op1 (e11) (op1 (e11) (e10))) = (e10)) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((e10) = (e12))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e11) (op1 (e11) (e13))) = (e13)) -> ((op1 (e11) (op1 (e11) (e12))) = (e12)) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e10)) = (e12))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e13) (e10)) = (e12))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> ((op1 (e11) (op1 (e11) (e11))) = (e11)) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e13)) = (e10))\/(((op1 (e13) (e13)) = (e11))\/(((op1 (e13) (e13)) = (e12))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> ((((op1 (e10) (e10)) = (e10))/\(((op1 (e10) (e10)) = (e10))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11))))/\(((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12))))/\((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))))))))\/((((op1 (e10) (e11)) = (e10))/\(((op1 (e11) (e10)) = (e10))/\(((~((op1 (e11) (e10)) = (e11)))\/(~((op1 (e11) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e11) (e12)) = (e11)))\/(~((op1 (e11) (e11)) = (e12))))/\((~((op1 (e11) (e13)) = (e11)))\/(~((op1 (e11) (e11)) = (e13)))))))))\/((((op1 (e10) (e12)) = (e10))/\(((op1 (e12) (e10)) = (e10))/\(((~((op1 (e12) (e10)) = (e12)))\/(~((op1 (e12) (e12)) = (e10))))/\(((~((op1 (e12) (e11)) = (e12)))\/(~((op1 (e12) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13)))))))))\/((((op1 (e10) (e13)) = (e10))/\(((op1 (e13) (e10)) = (e10))/\(((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e13) (e13)) = (e10))))/\(((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11))))/\(((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e13) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13)))))))))\/((((op1 (e11) (e10)) = (e11))/\(((op1 (e10) (e11)) = (e11))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11))))/\(((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12))))/\((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))))))))\/((((op1 (e11) (e11)) = (e11))/\(((op1 (e11) (e11)) = (e11))/\(((~((op1 (e11) (e10)) = (e11)))\/(~((op1 (e11) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e11) (e12)) = (e11)))\/(~((op1 (e11) (e11)) = (e12))))/\((~((op1 (e11) (e13)) = (e11)))\/(~((op1 (e11) (e11)) = (e13)))))))))\/((((op1 (e11) (e12)) = (e11))/\(((op1 (e12) (e11)) = (e11))/\(((~((op1 (e12) (e10)) = (e12)))\/(~((op1 (e12) (e12)) = (e10))))/\(((~((op1 (e12) (e11)) = (e12)))\/(~((op1 (e12) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13)))))))))\/((((op1 (e11) (e13)) = (e11))/\(((op1 (e13) (e11)) = (e11))/\(((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e13) (e13)) = (e10))))/\(((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11))))/\(((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e13) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13)))))))))\/((((op1 (e12) (e10)) = (e12))/\(((op1 (e10) (e12)) = (e12))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11))))/\(((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12))))/\((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))))))))\/((((op1 (e12) (e11)) = (e12))/\(((op1 (e11) (e12)) = (e12))/\(((~((op1 (e11) (e10)) = (e11)))\/(~((op1 (e11) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e11) (e12)) = (e11)))\/(~((op1 (e11) (e11)) = (e12))))/\((~((op1 (e11) (e13)) = (e11)))\/(~((op1 (e11) (e11)) = (e13)))))))))\/((((op1 (e12) (e12)) = (e12))/\(((op1 (e12) (e12)) = (e12))/\(((~((op1 (e12) (e10)) = (e12)))\/(~((op1 (e12) (e12)) = (e10))))/\(((~((op1 (e12) (e11)) = (e12)))\/(~((op1 (e12) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13)))))))))\/((((op1 (e12) (e13)) = (e12))/\(((op1 (e13) (e12)) = (e12))/\(((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e13) (e13)) = (e10))))/\(((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11))))/\(((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e13) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13)))))))))\/((((op1 (e13) (e10)) = (e13))/\(((op1 (e10) (e13)) = (e13))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11))))/\(((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12))))/\((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))))))))\/((((op1 (e13) (e11)) = (e13))/\(((op1 (e11) (e13)) = (e13))/\(((~((op1 (e11) (e10)) = (e11)))\/(~((op1 (e11) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e11) (e12)) = (e11)))\/(~((op1 (e11) (e11)) = (e12))))/\((~((op1 (e11) (e13)) = (e11)))\/(~((op1 (e11) (e11)) = (e13)))))))))\/((((op1 (e13) (e12)) = (e13))/\(((op1 (e12) (e13)) = (e13))/\(((~((op1 (e12) (e10)) = (e12)))\/(~((op1 (e12) (e12)) = (e10))))/\(((~((op1 (e12) (e11)) = (e12)))\/(~((op1 (e12) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13)))))))))\/(((op1 (e13) (e13)) = (e13))/\(((op1 (e13) (e13)) = (e13))/\(((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e13) (e13)) = (e10))))/\(((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11))))/\(((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e13) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13)))))))))))))))))))))))) -> ((~((op1 (e12) (e12)) = (e11)))\/((op1 (e12) (e11)) = (e12))) -> (((op2 (e21) (e20)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/((op2 (e21) (e23)) = (e23))))) -> (~((op2 (e21) (e22)) = (op2 (e21) (e23)))) -> ((op2 (e21) (op2 (e21) (e23))) = (e23)) -> (((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e21)) = (e22))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> ((e20) = (op2 (e21) (e21))) -> ((e23) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((e22) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e20) (e20)) = (e22))) -> (~((op1 (e12) (e12)) = (e11))) -> False).
% 54.96/55.14 do 0 intro. intros zenon_H197 zenon_Hb7 zenon_H3a8 zenon_H23b zenon_H44f zenon_H270 zenon_H4e9 zenon_H13 zenon_H15 zenon_H155 zenon_H21a zenon_H40f zenon_H437 zenon_H481 zenon_H40c zenon_H489 zenon_H9f zenon_H116 zenon_Hb9 zenon_H3c2 zenon_Had zenon_Hf1 zenon_H32 zenon_Hc5 zenon_H45 zenon_H4a zenon_H7a zenon_H37b zenon_H15f zenon_H15a zenon_H154 zenon_H14b zenon_H1da zenon_H292 zenon_H1de zenon_H16c zenon_H172 zenon_H179 zenon_H180 zenon_H186 zenon_H1fa zenon_H2c9 zenon_H1f4 zenon_H29e zenon_H375 zenon_H30e zenon_H328 zenon_H1e8 zenon_H1a9 zenon_H209 zenon_H1f7 zenon_H358 zenon_H204 zenon_H1cc zenon_H2b9 zenon_H4c3 zenon_H485 zenon_H246 zenon_H19d zenon_H1a0 zenon_H25 zenon_H1e zenon_H17 zenon_H18e zenon_H1d8 zenon_H2a3 zenon_H2a5 zenon_H2a6 zenon_H2ad zenon_H2b1 zenon_H1be zenon_H18a zenon_H20c zenon_H2c0 zenon_H2c2 zenon_H245 zenon_H37c zenon_H399 zenon_H47a zenon_H395 zenon_H3b1 zenon_H3af zenon_H60 zenon_H282 zenon_H39d zenon_H3b4 zenon_H4ae zenon_Hb0 zenon_H33 zenon_H3b zenon_H3f zenon_H3e zenon_Hbd zenon_H23f.
% 54.96/55.14 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_H18f. zenon_intro zenon_H198.
% 54.96/55.14 apply (zenon_and_s _ _ zenon_H198). zenon_intro zenon_H293. zenon_intro zenon_H227.
% 54.96/55.14 apply (zenon_and_s _ _ zenon_H227). zenon_intro zenon_H229. zenon_intro zenon_H228.
% 54.96/55.14 apply (zenon_and_s _ _ zenon_H228). zenon_intro zenon_H22b. zenon_intro zenon_H22a.
% 54.96/55.14 apply (zenon_and_s _ _ zenon_H22a). zenon_intro zenon_H224. zenon_intro zenon_H22c.
% 54.96/55.14 apply (zenon_or_s _ _ zenon_H224); [ zenon_intro zenon_H1d1 | zenon_intro zenon_H1d1 ].
% 54.96/55.14 apply (zenon_L761_); trivial.
% 54.96/55.14 apply (zenon_L761_); trivial.
% 54.96/55.14 (* end of lemma zenon_L762_ *)
% 54.96/55.14 assert (zenon_L763_ : (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> ((e10) = (op1 (e11) (e11))) -> ((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e10)) = (e12))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e13) (e10)) = (e12))))) -> (~((op1 (e10) (e10)) = (e12))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> ((op1 (e11) (e10)) = (e11)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> ((e12) = (op1 (op1 (op1 (e11) (e11)) (op1 (e11) (e11))) (op1 (e11) (e11)))) -> (~((h2 (op1 (e12) (e11))) = (op2 (h2 (e12)) (h2 (e11))))) -> ((h2 (e12)) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> ((h2 (e11)) = (e21)) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (((op1 (e11) (e10)) = (e11))/\(((op1 (e10) (e11)) = (e11))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11))))/\(((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12))))/\((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13))))))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (e10))) -> ((op1 (e10) (e11)) = (e11)) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> ((op1 (e11) (op1 (e11) (e13))) = (e13)) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> ((op1 (e11) (op1 (e11) (e12))) = (e12)) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> ((op2 (e21) (op2 (e21) (e22))) = (e22)) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> ((e22) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> ((op2 (e20) (e23)) = (e22)) -> ((e20) = (op2 (e21) (e21))) -> ((e23) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((op2 (e21) (e22)) = (e22)) -> ((op2 (e23) (e20)) = (e22)) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> False).
% 54.96/55.14 do 0 intro. intros zenon_Hf1 zenon_Hb0 zenon_H25 zenon_H13 zenon_H15 zenon_H4c3 zenon_H4c4 zenon_H1fa zenon_H154 zenon_H163 zenon_H172 zenon_H155 zenon_H4e9 zenon_H44f zenon_H270 zenon_H23b zenon_H21a zenon_H358 zenon_H259 zenon_H1a9 zenon_H1e8 zenon_H1f7 zenon_H2b9 zenon_H204 zenon_H209 zenon_H328 zenon_H25f zenon_H1fe zenon_H485 zenon_H29e zenon_H1f4 zenon_H1cc zenon_H375 zenon_H30e zenon_H1e zenon_H2c9 zenon_H481 zenon_H40c zenon_H3f zenon_H464 zenon_H33 zenon_H3b zenon_Hd4 zenon_H58 zenon_H116.
% 54.96/55.14 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_Hb1 | zenon_intro zenon_Hf3 ].
% 54.96/55.14 apply (zenon_L30_); trivial.
% 54.96/55.14 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_Hd3 | zenon_intro zenon_Hf4 ].
% 54.96/55.14 apply (zenon_L750_); trivial.
% 54.96/55.14 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_Hd6 | zenon_intro zenon_He2 ].
% 54.96/55.14 apply (zenon_L679_); trivial.
% 54.96/55.14 apply (zenon_L682_); trivial.
% 54.96/55.14 (* end of lemma zenon_L763_ *)
% 54.96/55.14 assert (zenon_L764_ : (((op2 (e21) (e22)) = (e20))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e22)) = (e23))))) -> (~((op2 (e21) (e21)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> ((op2 (e21) (e20)) = (e21)) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> ((op2 (e23) (e20)) = (e22)) -> ((e23) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((e20) = (op2 (e21) (e21))) -> ((e22) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> ((op1 (e11) (op1 (e11) (e12))) = (e12)) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e11) (op1 (e11) (e13))) = (e13)) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> ((op1 (e10) (e11)) = (e11)) -> (~((op1 (e10) (e13)) = (e10))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (((op1 (e11) (e10)) = (e11))/\(((op1 (e10) (e11)) = (e11))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11))))/\(((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12))))/\((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13))))))))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> ((h2 (e11)) = (e21)) -> ((h2 (e12)) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> (~((h2 (op1 (e12) (e11))) = (op2 (h2 (e12)) (h2 (e11))))) -> ((e12) = (op1 (op1 (op1 (e11) (e11)) (op1 (e11) (e11))) (op1 (e11) (e11)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> ((op1 (e11) (e10)) = (e11)) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e10) (e10)) = (e12))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e10)) = (e12))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e13) (e10)) = (e12))))) -> ((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) -> ((e10) = (op1 (e11) (e11))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> ((op2 (e21) (op2 (e21) (e22))) = (e22)) -> ((op2 (e20) (e23)) = (e22)) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> False).
% 54.96/55.14 do 0 intro. intros zenon_H40f zenon_H7a zenon_Hc5 zenon_H4e zenon_H116 zenon_H58 zenon_H3b zenon_H33 zenon_H3f zenon_H40c zenon_H2c9 zenon_H1e zenon_H30e zenon_H375 zenon_H1cc zenon_H1f4 zenon_H29e zenon_H485 zenon_H1fe zenon_H25f zenon_H328 zenon_H209 zenon_H204 zenon_H2b9 zenon_H1f7 zenon_H1e8 zenon_H1a9 zenon_H259 zenon_H358 zenon_H21a zenon_H23b zenon_H270 zenon_H44f zenon_H4e9 zenon_H155 zenon_H172 zenon_H163 zenon_H154 zenon_H1fa zenon_H4c4 zenon_H4c3 zenon_H15 zenon_H13 zenon_H25 zenon_Hb0 zenon_Hf1 zenon_H481 zenon_H464 zenon_H3a8.
% 54.96/55.14 apply (zenon_or_s _ _ zenon_H40f); [ zenon_intro zenon_H79 | zenon_intro zenon_H410 ].
% 54.96/55.14 apply (zenon_L20_); trivial.
% 54.96/55.14 apply (zenon_or_s _ _ zenon_H410); [ zenon_intro zenon_Hc4 | zenon_intro zenon_H411 ].
% 54.96/55.14 apply (zenon_L33_); trivial.
% 54.96/55.14 apply (zenon_or_s _ _ zenon_H411); [ zenon_intro zenon_Hd4 | zenon_intro zenon_H38e ].
% 54.96/55.14 apply (zenon_L763_); trivial.
% 54.96/55.14 apply (zenon_L516_); trivial.
% 54.96/55.14 (* end of lemma zenon_L764_ *)
% 54.96/55.14 assert (zenon_L765_ : ((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12)))) -> (((op2 (e20) (e20)) = (e22))\/(((op2 (e21) (e20)) = (e22))\/(((op2 (e22) (e20)) = (e22))\/((op2 (e23) (e20)) = (e22))))) -> (~((op2 (e20) (e23)) = (e20))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> ((op2 (e20) (e21)) = (e21)) -> (((op2 (e21) (e22)) = (e20))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e22)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> ((e12) = (op1 (op1 (op1 (e11) (e11)) (op1 (e11) (e11))) (op1 (e11) (e11)))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e11) (op1 (e11) (e13))) = (e13)) -> ((op1 (e11) (op1 (e11) (e12))) = (e12)) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> ((op1 (e11) (e10)) = (e11)) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((h2 (op1 (e12) (e11))) = (op2 (h2 (e12)) (h2 (e11))))) -> ((h2 (e11)) = (e21)) -> ((h2 (e12)) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (((op1 (e11) (e10)) = (e11))/\(((op1 (e10) (e11)) = (e11))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11))))/\(((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12))))/\((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13))))))))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e10)) = (e12))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e13) (e10)) = (e12))))) -> ((op1 (e10) (e11)) = (e11)) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> ((op2 (e21) (op2 (e21) (e22))) = (e22)) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> ((op2 (e21) (e20)) = (e21)) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e21)) = (op2 (e21) (e22)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> ((e20) = (op2 (e21) (e21))) -> ((e23) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((e22) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e20) (e20)) = (e22))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> ((e10) = (op1 (e11) (e11))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (~((op1 (e10) (e10)) = (e10))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> ((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> ((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))) -> False).
% 54.96/55.14 do 0 intro. intros zenon_H25e zenon_Hb7 zenon_Had zenon_H3c2 zenon_Hb9 zenon_H40f zenon_H3a8 zenon_H154 zenon_H155 zenon_H21a zenon_H1fa zenon_H2c9 zenon_H1f4 zenon_H29e zenon_H375 zenon_H30e zenon_H328 zenon_H1e8 zenon_H1a9 zenon_H163 zenon_H209 zenon_H172 zenon_H4e9 zenon_H270 zenon_H44f zenon_H1f7 zenon_H358 zenon_H259 zenon_H204 zenon_H1cc zenon_H2b9 zenon_H23b zenon_H4c3 zenon_H1fe zenon_H485 zenon_H40c zenon_H481 zenon_H116 zenon_Hf1 zenon_H4e zenon_Hc5 zenon_H7a zenon_H9f zenon_H489 zenon_Hb0 zenon_H33 zenon_H3b zenon_H3f zenon_H3e zenon_Hbd zenon_H246 zenon_H13 zenon_H19d zenon_H146 zenon_H1a0 zenon_H25 zenon_H1e zenon_H15 zenon_H17 zenon_H25d.
% 54.96/55.14 apply (zenon_or_s _ _ zenon_H25e); [ zenon_intro zenon_H458 | zenon_intro zenon_H4c4 ].
% 54.96/55.14 apply (zenon_L629_); trivial.
% 54.96/55.14 apply (zenon_or_s _ _ zenon_H25d); [ zenon_intro zenon_H25f | zenon_intro zenon_H1a1 ].
% 54.96/55.14 apply (zenon_or_s _ _ zenon_Hb7); [ zenon_intro zenon_Hbf | zenon_intro zenon_Hbe ].
% 54.96/55.14 exact (zenon_Hbd zenon_Hbf).
% 54.96/55.14 apply (zenon_or_s _ _ zenon_Hbe); [ zenon_intro zenon_H40 | zenon_intro zenon_Hc0 ].
% 54.96/55.14 apply (zenon_L8_); trivial.
% 54.96/55.14 apply (zenon_or_s _ _ zenon_Hc0); [ zenon_intro zenon_Hb1 | zenon_intro zenon_H58 ].
% 54.96/55.14 apply (zenon_L30_); trivial.
% 54.96/55.14 apply (zenon_or_s _ _ zenon_H489); [ zenon_intro zenon_H8b | zenon_intro zenon_H48a ].
% 54.96/55.14 exact (zenon_Had zenon_H8b).
% 54.96/55.14 apply (zenon_or_s _ _ zenon_H48a); [ zenon_intro zenon_H3c3 | zenon_intro zenon_H48b ].
% 54.96/55.14 apply (zenon_L352_); trivial.
% 54.96/55.14 apply (zenon_or_s _ _ zenon_H48b); [ zenon_intro zenon_H464 | zenon_intro zenon_H9e ].
% 54.96/55.14 apply (zenon_L764_); trivial.
% 54.96/55.14 apply (zenon_L27_); trivial.
% 54.96/55.14 apply (zenon_L79_); trivial.
% 54.96/55.14 (* end of lemma zenon_L765_ *)
% 54.96/55.14 assert (zenon_L766_ : (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> ((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> ((e10) = (op1 (e11) (e11))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (~((op2 (e20) (e20)) = (e22))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> ((e22) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> ((e23) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((e20) = (op2 (e21) (e21))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (~((op2 (e21) (e21)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> ((op2 (e21) (e20)) = (e21)) -> (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> ((op2 (e21) (op2 (e21) (e22))) = (e22)) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e10)) = (e12))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e13) (e10)) = (e12))))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e11) (e10)) = (e11))/\(((op1 (e10) (e11)) = (e11))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11))))/\(((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12))))/\((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13))))))))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> ((h2 (e12)) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> ((h2 (e11)) = (e21)) -> (~((h2 (op1 (e12) (e11))) = (op2 (h2 (e12)) (h2 (e11))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> ((op1 (e11) (op1 (e11) (e12))) = (e12)) -> ((op1 (e11) (op1 (e11) (e13))) = (e13)) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> ((e12) = (op1 (op1 (op1 (e11) (e11)) (op1 (e11) (e11))) (op1 (e11) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (((op2 (e21) (e22)) = (e20))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e22)) = (e23))))) -> ((op2 (e20) (e21)) = (e21)) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e23)) = (e20))) -> (((op2 (e20) (e20)) = (e22))\/(((op2 (e21) (e20)) = (e22))\/(((op2 (e22) (e20)) = (e22))\/((op2 (e23) (e20)) = (e22))))) -> False).
% 54.96/55.14 do 0 intro. intros zenon_H17 zenon_H15 zenon_H1e zenon_H25 zenon_H1a0 zenon_H19d zenon_H13 zenon_H246 zenon_Hbd zenon_H3e zenon_H3f zenon_H3b zenon_H33 zenon_Hb0 zenon_H489 zenon_H9f zenon_H7a zenon_Hc5 zenon_H4e zenon_Hf1 zenon_H116 zenon_H481 zenon_H40c zenon_H485 zenon_H4c3 zenon_H23b zenon_H2b9 zenon_H1cc zenon_H204 zenon_H259 zenon_H358 zenon_H1f7 zenon_H44f zenon_H270 zenon_H4e9 zenon_H172 zenon_H209 zenon_H1a9 zenon_H1e8 zenon_H328 zenon_H30e zenon_H375 zenon_H29e zenon_H1f4 zenon_H2c9 zenon_H1fa zenon_H21a zenon_H155 zenon_H154 zenon_H3a8 zenon_H40f zenon_Hb9 zenon_H3c2 zenon_Had zenon_Hb7.
% 54.96/55.14 apply (zenon_and_s _ _ zenon_H259). zenon_intro zenon_H163. zenon_intro zenon_H25a.
% 54.96/55.14 apply (zenon_and_s _ _ zenon_H25a). zenon_intro zenon_H1fe. zenon_intro zenon_H149.
% 54.96/55.14 apply (zenon_and_s _ _ zenon_H149). zenon_intro zenon_H144. zenon_intro zenon_H14a.
% 54.96/55.14 apply (zenon_and_s _ _ zenon_H14a). zenon_intro zenon_H25c. zenon_intro zenon_H25b.
% 54.96/55.14 apply (zenon_and_s _ _ zenon_H25b). zenon_intro zenon_H25e. zenon_intro zenon_H25d.
% 54.96/55.14 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_H146 | zenon_intro zenon_H146 ].
% 54.96/55.14 apply (zenon_L765_); trivial.
% 54.96/55.14 apply (zenon_L765_); trivial.
% 54.96/55.14 (* end of lemma zenon_L766_ *)
% 54.96/55.14 assert (zenon_L767_ : (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> ((h2 (e11)) = (e21)) -> ((h2 (e12)) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> ((op1 (e12) (e11)) = (e12)) -> (~((h2 (op1 (e12) (e11))) = (op2 (h2 (e12)) (h2 (e11))))) -> ((op2 (e21) (op2 (e21) (e22))) = (e22)) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> ((e22) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> ((op2 (e20) (e23)) = (e22)) -> ((e20) = (op2 (e21) (e21))) -> ((e23) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((op2 (e21) (e22)) = (e22)) -> ((op2 (e23) (e20)) = (e22)) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> False).
% 54.96/55.14 do 0 intro. intros zenon_Hf1 zenon_Hb0 zenon_H270 zenon_H44f zenon_H202 zenon_H4e9 zenon_H481 zenon_H40c zenon_H3f zenon_H464 zenon_H33 zenon_H3b zenon_Hd4 zenon_H58 zenon_H116.
% 54.96/55.14 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_Hb1 | zenon_intro zenon_Hf3 ].
% 54.96/55.14 apply (zenon_L30_); trivial.
% 54.96/55.14 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_Hd3 | zenon_intro zenon_Hf4 ].
% 54.96/55.14 apply (zenon_L743_); trivial.
% 54.96/55.14 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_Hd6 | zenon_intro zenon_He2 ].
% 54.96/55.14 apply (zenon_L679_); trivial.
% 54.96/55.14 apply (zenon_L682_); trivial.
% 54.96/55.14 (* end of lemma zenon_L767_ *)
% 54.96/55.14 assert (zenon_L768_ : (((op2 (e20) (e20)) = (e22))\/(((op2 (e21) (e20)) = (e22))\/(((op2 (e22) (e20)) = (e22))\/((op2 (e23) (e20)) = (e22))))) -> (~((op2 (e20) (e20)) = (e22))) -> (((op2 (e21) (e22)) = (e20))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e22)) = (e23))))) -> (~((op2 (e21) (e21)) = (op2 (e21) (e22)))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> (((op2 (e21) (e20)) = (e20))\/(((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e20)) = (e22))\/((op2 (e21) (e20)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> ((op2 (e20) (e23)) = (e22)) -> ((e22) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((h2 (op1 (e12) (e11))) = (op2 (h2 (e12)) (h2 (e11))))) -> ((op1 (e12) (e11)) = (e12)) -> ((h2 (e12)) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> ((h2 (e11)) = (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)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (e20))) -> ((op2 (e20) (e21)) = (e21)) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> ((op2 (e21) (op2 (e21) (e22))) = (e22)) -> ((e23) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((e20) = (op2 (e21) (e21))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> False).
% 54.96/55.14 do 0 intro. intros zenon_Hb7 zenon_Hbd zenon_H40f zenon_H7a zenon_H45 zenon_H3e zenon_Hc5 zenon_H32 zenon_H4a zenon_H116 zenon_H464 zenon_H3f zenon_H40c zenon_H4e9 zenon_H202 zenon_H44f zenon_H270 zenon_Hb0 zenon_Hf1 zenon_H489 zenon_Had zenon_Hb9 zenon_H3c2 zenon_H3a8 zenon_H481 zenon_H3b zenon_H33 zenon_H9f.
% 54.96/55.15 apply (zenon_or_s _ _ zenon_Hb7); [ zenon_intro zenon_Hbf | zenon_intro zenon_Hbe ].
% 54.96/55.15 exact (zenon_Hbd zenon_Hbf).
% 54.96/55.15 apply (zenon_or_s _ _ zenon_Hbe); [ zenon_intro zenon_H40 | zenon_intro zenon_Hc0 ].
% 54.96/55.15 apply (zenon_L8_); trivial.
% 54.96/55.15 apply (zenon_or_s _ _ zenon_Hc0); [ zenon_intro zenon_Hb1 | zenon_intro zenon_H58 ].
% 54.96/55.15 apply (zenon_L30_); trivial.
% 54.96/55.15 apply (zenon_or_s _ _ zenon_H40f); [ zenon_intro zenon_H79 | zenon_intro zenon_H410 ].
% 54.96/55.15 apply (zenon_L20_); trivial.
% 54.96/55.15 apply (zenon_or_s _ _ zenon_H410); [ zenon_intro zenon_Hc4 | zenon_intro zenon_H411 ].
% 54.96/55.15 apply (zenon_L34_); trivial.
% 54.96/55.15 apply (zenon_or_s _ _ zenon_H411); [ zenon_intro zenon_Hd4 | zenon_intro zenon_H38e ].
% 54.96/55.15 apply (zenon_L767_); trivial.
% 54.96/55.15 apply (zenon_L590_); trivial.
% 54.96/55.15 (* end of lemma zenon_L768_ *)
% 54.96/55.15 assert (zenon_L769_ : ((~((op2 (e20) (e22)) = (e20)))\/(~((op2 (e20) (e20)) = (e22)))) -> ((((op1 (e10) (op1 (e10) (e10))) = (e10))/\(((op1 (e10) (op1 (e10) (e11))) = (e11))/\(((op1 (e10) (op1 (e10) (e12))) = (e12))/\(((op1 (e10) (op1 (e10) (e13))) = (e13))/\(((~((op1 (e10) (e10)) = (e10)))\/((op1 (e10) (e10)) = (e10)))/\(((~((op1 (e11) (e11)) = (e10)))\/((op1 (e11) (e10)) = (e11)))/\(((~((op1 (e12) (e12)) = (e10)))\/((op1 (e12) (e10)) = (e12)))/\((~((op1 (e13) (e13)) = (e10)))\/((op1 (e13) (e10)) = (e13))))))))))\/((((op1 (e11) (op1 (e11) (e10))) = (e10))/\(((op1 (e11) (op1 (e11) (e11))) = (e11))/\(((op1 (e11) (op1 (e11) (e12))) = (e12))/\(((op1 (e11) (op1 (e11) (e13))) = (e13))/\(((~((op1 (e10) (e10)) = (e11)))\/((op1 (e10) (e11)) = (e10)))/\(((~((op1 (e11) (e11)) = (e11)))\/((op1 (e11) (e11)) = (e11)))/\(((~((op1 (e12) (e12)) = (e11)))\/((op1 (e12) (e11)) = (e12)))/\((~((op1 (e13) (e13)) = (e11)))\/((op1 (e13) (e11)) = (e13))))))))))\/((((op1 (e12) (op1 (e12) (e10))) = (e10))/\(((op1 (e12) (op1 (e12) (e11))) = (e11))/\(((op1 (e12) (op1 (e12) (e12))) = (e12))/\(((op1 (e12) (op1 (e12) (e13))) = (e13))/\(((~((op1 (e10) (e10)) = (e12)))\/((op1 (e10) (e12)) = (e10)))/\(((~((op1 (e11) (e11)) = (e12)))\/((op1 (e11) (e12)) = (e11)))/\(((~((op1 (e12) (e12)) = (e12)))\/((op1 (e12) (e12)) = (e12)))/\((~((op1 (e13) (e13)) = (e12)))\/((op1 (e13) (e12)) = (e13))))))))))\/(((op1 (e13) (op1 (e13) (e10))) = (e10))/\(((op1 (e13) (op1 (e13) (e11))) = (e11))/\(((op1 (e13) (op1 (e13) (e12))) = (e12))/\(((op1 (e13) (op1 (e13) (e13))) = (e13))/\(((~((op1 (e10) (e10)) = (e13)))\/((op1 (e10) (e13)) = (e10)))/\(((~((op1 (e11) (e11)) = (e13)))\/((op1 (e11) (e13)) = (e11)))/\(((~((op1 (e12) (e12)) = (e13)))\/((op1 (e12) (e13)) = (e12)))/\((~((op1 (e13) (e13)) = (e13)))\/((op1 (e13) (e13)) = (e13))))))))))))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e12) (e13)) = (e10))))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e12) (e11)) = (e13))))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> ((op2 (e21) (e20)) = (e21)) -> (((op2 (e20) (e20)) = (e22))\/(((op2 (e21) (e20)) = (e22))\/(((op2 (e22) (e20)) = (e22))\/((op2 (e23) (e20)) = (e22))))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> ((h2 (e12)) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> ((h2 (e11)) = (e21)) -> (~((h2 (op1 (e12) (e11))) = (op2 (h2 (e12)) (h2 (e11))))) -> (((op2 (e21) (e22)) = (e20))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e22)) = (e23))))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> ((op2 (e21) (op2 (e21) (e22))) = (e22)) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> ((op2 (e20) (e21)) = (e21)) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (((op2 (e21) (e20)) = (e20))\/(((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e20)) = (e22))\/((op2 (e21) (e20)) = (e23))))) -> (~((op2 (e21) (e21)) = (op2 (e21) (e22)))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e10)) = (e12))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e13) (e10)) = (e12))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (((op2 (e21) (e20)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/((op2 (e21) (e23)) = (e23))))) -> (~((op2 (e21) (e22)) = (op2 (e21) (e23)))) -> ((op2 (e21) (op2 (e21) (e23))) = (e23)) -> (((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e21)) = (e22))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (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 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> ((e10) = (op1 (e11) (e11))) -> ((((op1 (e10) (e10)) = (e10))/\(((op1 (e10) (e10)) = (e10))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11))))/\(((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12))))/\((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))))))))\/((((op1 (e10) (e11)) = (e10))/\(((op1 (e11) (e10)) = (e10))/\(((~((op1 (e11) (e10)) = (e11)))\/(~((op1 (e11) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e11) (e12)) = (e11)))\/(~((op1 (e11) (e11)) = (e12))))/\((~((op1 (e11) (e13)) = (e11)))\/(~((op1 (e11) (e11)) = (e13)))))))))\/((((op1 (e10) (e12)) = (e10))/\(((op1 (e12) (e10)) = (e10))/\(((~((op1 (e12) (e10)) = (e12)))\/(~((op1 (e12) (e12)) = (e10))))/\(((~((op1 (e12) (e11)) = (e12)))\/(~((op1 (e12) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13)))))))))\/((((op1 (e10) (e13)) = (e10))/\(((op1 (e13) (e10)) = (e10))/\(((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e13) (e13)) = (e10))))/\(((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11))))/\(((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e13) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13)))))))))\/((((op1 (e11) (e10)) = (e11))/\(((op1 (e10) (e11)) = (e11))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11))))/\(((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12))))/\((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))))))))\/((((op1 (e11) (e11)) = (e11))/\(((op1 (e11) (e11)) = (e11))/\(((~((op1 (e11) (e10)) = (e11)))\/(~((op1 (e11) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e11) (e12)) = (e11)))\/(~((op1 (e11) (e11)) = (e12))))/\((~((op1 (e11) (e13)) = (e11)))\/(~((op1 (e11) (e11)) = (e13)))))))))\/((((op1 (e11) (e12)) = (e11))/\(((op1 (e12) (e11)) = (e11))/\(((~((op1 (e12) (e10)) = (e12)))\/(~((op1 (e12) (e12)) = (e10))))/\(((~((op1 (e12) (e11)) = (e12)))\/(~((op1 (e12) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13)))))))))\/((((op1 (e11) (e13)) = (e11))/\(((op1 (e13) (e11)) = (e11))/\(((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e13) (e13)) = (e10))))/\(((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11))))/\(((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e13) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13)))))))))\/((((op1 (e12) (e10)) = (e12))/\(((op1 (e10) (e12)) = (e12))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11))))/\(((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12))))/\((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))))))))\/((((op1 (e12) (e11)) = (e12))/\(((op1 (e11) (e12)) = (e12))/\(((~((op1 (e11) (e10)) = (e11)))\/(~((op1 (e11) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e11) (e12)) = (e11)))\/(~((op1 (e11) (e11)) = (e12))))/\((~((op1 (e11) (e13)) = (e11)))\/(~((op1 (e11) (e11)) = (e13)))))))))\/((((op1 (e12) (e12)) = (e12))/\(((op1 (e12) (e12)) = (e12))/\(((~((op1 (e12) (e10)) = (e12)))\/(~((op1 (e12) (e12)) = (e10))))/\(((~((op1 (e12) (e11)) = (e12)))\/(~((op1 (e12) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13)))))))))\/((((op1 (e12) (e13)) = (e12))/\(((op1 (e13) (e12)) = (e12))/\(((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e13) (e13)) = (e10))))/\(((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11))))/\(((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e13) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13)))))))))\/((((op1 (e13) (e10)) = (e13))/\(((op1 (e10) (e13)) = (e13))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11))))/\(((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12))))/\((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))))))))\/((((op1 (e13) (e11)) = (e13))/\(((op1 (e11) (e13)) = (e13))/\(((~((op1 (e11) (e10)) = (e11)))\/(~((op1 (e11) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e11) (e12)) = (e11)))\/(~((op1 (e11) (e11)) = (e12))))/\((~((op1 (e11) (e13)) = (e11)))\/(~((op1 (e11) (e11)) = (e13)))))))))\/((((op1 (e13) (e12)) = (e13))/\(((op1 (e12) (e13)) = (e13))/\(((~((op1 (e12) (e10)) = (e12)))\/(~((op1 (e12) (e12)) = (e10))))/\(((~((op1 (e12) (e11)) = (e12)))\/(~((op1 (e12) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13)))))))))\/(((op1 (e13) (e13)) = (e13))/\(((op1 (e13) (e13)) = (e13))/\(((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e13) (e13)) = (e10))))/\(((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11))))/\(((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e13) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13)))))))))))))))))))))))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((e12) = (e13))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e13) (e13)) = (e10))\/(((op1 (e13) (e13)) = (e11))\/(((op1 (e13) (e13)) = (e12))\/((op1 (e13) (e13)) = (e13))))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (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) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e11)) = (e12))\/((op1 (e10) (e11)) = (e13))))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((e10) = (e12))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> ((e12) = (op1 (op1 (op1 (e11) (e11)) (op1 (e11) (e11))) (op1 (e11) (e11)))) -> ((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e12))\/((op1 (e11) (e10)) = (e13))))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e20) (e21)) = (e20))\/(((op2 (e20) (e22)) = (e20))\/((op2 (e20) (e23)) = (e20))))) -> ((e20) = (op2 (e21) (e21))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> (~((op2 (e20) (e20)) = (e20))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e20) (e21)) = (e23))\/(((op2 (e20) (e22)) = (e23))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e22)))) -> ((e23) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> ((~((op2 (e20) (e23)) = (e20)))\/(~((op2 (e20) (e20)) = (e23)))) -> False).
% 54.96/55.15 do 0 intro. intros zenon_Hbc zenon_H36e zenon_H355 zenon_H345 zenon_H360 zenon_H35d zenon_H2d1 zenon_H2d9 zenon_H2e7 zenon_H2e6 zenon_H2e2 zenon_H2ea zenon_H316 zenon_H313 zenon_H30b zenon_H301 zenon_H321 zenon_H322 zenon_H325 zenon_H2f8 zenon_H2f6 zenon_H2fb zenon_H2fd zenon_H32e zenon_H32b zenon_H4e zenon_Hb7 zenon_H3a8 zenon_H44f zenon_H270 zenon_H4e9 zenon_H40f zenon_H437 zenon_H481 zenon_H40c zenon_H489 zenon_H116 zenon_Hb9 zenon_H3c2 zenon_Hf1 zenon_H32 zenon_Hc5 zenon_H45 zenon_H4a zenon_H7a zenon_H2c9 zenon_H30e zenon_H328 zenon_H358 zenon_H2b9 zenon_H4c3 zenon_H485 zenon_H2a3 zenon_H2a5 zenon_H2ad zenon_H2b1 zenon_H2c0 zenon_H2c2 zenon_H399 zenon_H47a zenon_H395 zenon_H3b1 zenon_H3af zenon_H60 zenon_H282 zenon_H39d zenon_H3b4 zenon_H4ae zenon_Hb0 zenon_H3f zenon_H3e zenon_H13 zenon_H245 zenon_H23b zenon_H236 zenon_H21a zenon_H20c zenon_H1be zenon_H1b1 zenon_H1de zenon_H1cc zenon_H1d8 zenon_H1da zenon_H1e8 zenon_H1ed zenon_H1f4 zenon_H1f7 zenon_H1fa zenon_H1fd zenon_H204 zenon_H206 zenon_H209 zenon_H1a9 zenon_H17 zenon_H1e zenon_H25 zenon_H1a0 zenon_H19d zenon_H246 zenon_H192 zenon_H18e zenon_H18a zenon_H16c zenon_H172 zenon_H179 zenon_H180 zenon_H186 zenon_H14b zenon_H154 zenon_H155 zenon_H15 zenon_H15a zenon_H15f zenon_Hac zenon_H33 zenon_H8d zenon_H31 zenon_Ha5 zenon_H9f zenon_H98 zenon_H3b zenon_H93 zenon_Haa.
% 54.96/55.15 apply (zenon_or_s _ _ zenon_Hbc); [ zenon_intro zenon_Hab | zenon_intro zenon_Hbd ].
% 54.96/55.15 apply (zenon_L29_); trivial.
% 54.96/55.15 apply (zenon_or_s _ _ zenon_Haa); [ zenon_intro zenon_Had | zenon_intro zenon_Ha6 ].
% 54.96/55.15 apply (zenon_or_s _ _ zenon_H36e); [ zenon_intro zenon_H244 | zenon_intro zenon_H36f ].
% 54.96/55.15 apply (zenon_L126_); trivial.
% 54.96/55.15 apply (zenon_or_s _ _ zenon_H36f); [ zenon_intro zenon_H371 | zenon_intro zenon_H370 ].
% 54.96/55.15 apply (zenon_and_s _ _ zenon_H371). zenon_intro zenon_H292. zenon_intro zenon_H372.
% 54.96/55.15 apply (zenon_and_s _ _ zenon_H372). zenon_intro zenon_H2a6. zenon_intro zenon_H373.
% 54.96/55.15 apply (zenon_and_s _ _ zenon_H373). zenon_intro zenon_H375. zenon_intro zenon_H374.
% 54.96/55.15 apply (zenon_and_s _ _ zenon_H374). zenon_intro zenon_H29e. zenon_intro zenon_H376.
% 54.96/55.15 apply (zenon_and_s _ _ zenon_H376). zenon_intro zenon_H378. zenon_intro zenon_H377.
% 54.96/55.15 apply (zenon_and_s _ _ zenon_H377). zenon_intro zenon_H37a. zenon_intro zenon_H379.
% 54.96/55.15 apply (zenon_and_s _ _ zenon_H379). zenon_intro zenon_H37c. zenon_intro zenon_H37b.
% 54.96/55.15 apply (zenon_or_s _ _ zenon_H37c); [ zenon_intro zenon_H23f | zenon_intro zenon_H202 ].
% 54.96/55.15 apply (zenon_or_s _ _ zenon_H37b); [ zenon_intro zenon_H20d | zenon_intro zenon_H1c3 ].
% 54.96/55.15 apply (zenon_or_s _ _ zenon_H245); [ zenon_intro zenon_H147 | zenon_intro zenon_H254 ].
% 54.96/55.15 apply (zenon_L60_); trivial.
% 54.96/55.15 apply (zenon_or_s _ _ zenon_H254); [ zenon_intro zenon_H164 | zenon_intro zenon_H255 ].
% 54.96/55.15 apply (zenon_L66_); trivial.
% 54.96/55.15 apply (zenon_or_s _ _ zenon_H255); [ zenon_intro zenon_H197 | zenon_intro zenon_H256 ].
% 54.96/55.15 apply (zenon_L762_); trivial.
% 54.96/55.15 apply (zenon_or_s _ _ zenon_H256); [ zenon_intro zenon_H199 | zenon_intro zenon_H257 ].
% 54.96/55.15 apply (zenon_L77_); trivial.
% 54.96/55.15 apply (zenon_or_s _ _ zenon_H257); [ zenon_intro zenon_H259 | zenon_intro zenon_H258 ].
% 54.96/55.15 apply (zenon_L766_); trivial.
% 54.96/55.15 apply (zenon_or_s _ _ zenon_H258); [ zenon_intro zenon_H1a5 | zenon_intro zenon_H262 ].
% 54.96/55.15 apply (zenon_L80_); trivial.
% 54.96/55.15 apply (zenon_or_s _ _ zenon_H262); [ zenon_intro zenon_H1ae | zenon_intro zenon_H263 ].
% 54.96/55.15 apply (zenon_L83_); trivial.
% 54.96/55.15 apply (zenon_or_s _ _ zenon_H263); [ zenon_intro zenon_H212 | zenon_intro zenon_H264 ].
% 54.96/55.15 apply (zenon_L161_); trivial.
% 54.96/55.15 apply (zenon_or_s _ _ zenon_H264); [ zenon_intro zenon_H220 | zenon_intro zenon_H265 ].
% 54.96/55.15 apply (zenon_L110_); trivial.
% 54.96/55.15 apply (zenon_or_s _ _ zenon_H265); [ zenon_intro zenon_H222 | zenon_intro zenon_H266 ].
% 54.96/55.15 apply (zenon_L111_); trivial.
% 54.96/55.15 apply (zenon_or_s _ _ zenon_H266); [ zenon_intro zenon_H225 | zenon_intro zenon_H267 ].
% 54.96/55.15 apply (zenon_L113_); trivial.
% 54.96/55.15 apply (zenon_or_s _ _ zenon_H267); [ zenon_intro zenon_H22d | zenon_intro zenon_H268 ].
% 54.96/55.15 apply (zenon_L114_); trivial.
% 54.96/55.15 apply (zenon_or_s _ _ zenon_H268); [ zenon_intro zenon_H230 | zenon_intro zenon_H269 ].
% 54.96/55.15 apply (zenon_L115_); trivial.
% 54.96/55.15 apply (zenon_or_s _ _ zenon_H269); [ zenon_intro zenon_H232 | zenon_intro zenon_H26a ].
% 54.96/55.15 apply (zenon_L116_); trivial.
% 54.96/55.15 apply (zenon_or_s _ _ zenon_H26a); [ zenon_intro zenon_H240 | zenon_intro zenon_H242 ].
% 54.96/55.15 apply (zenon_L166_); trivial.
% 54.96/55.15 apply (zenon_L125_); trivial.
% 54.96/55.15 apply (zenon_or_s _ _ zenon_H245); [ zenon_intro zenon_H147 | zenon_intro zenon_H254 ].
% 54.96/55.15 apply (zenon_L60_); trivial.
% 54.96/55.15 apply (zenon_or_s _ _ zenon_H254); [ zenon_intro zenon_H164 | zenon_intro zenon_H255 ].
% 54.96/55.15 apply (zenon_L66_); trivial.
% 54.96/55.15 apply (zenon_or_s _ _ zenon_H255); [ zenon_intro zenon_H197 | zenon_intro zenon_H256 ].
% 54.96/55.15 apply (zenon_L762_); trivial.
% 54.96/55.15 apply (zenon_or_s _ _ zenon_H256); [ zenon_intro zenon_H199 | zenon_intro zenon_H257 ].
% 54.96/55.15 apply (zenon_L77_); trivial.
% 54.96/55.15 apply (zenon_or_s _ _ zenon_H257); [ zenon_intro zenon_H259 | zenon_intro zenon_H258 ].
% 54.96/55.15 apply (zenon_L766_); trivial.
% 54.96/55.15 apply (zenon_or_s _ _ zenon_H258); [ zenon_intro zenon_H1a5 | zenon_intro zenon_H262 ].
% 54.96/55.15 apply (zenon_L80_); trivial.
% 54.96/55.15 apply (zenon_or_s _ _ zenon_H262); [ zenon_intro zenon_H1ae | zenon_intro zenon_H263 ].
% 54.96/55.15 apply (zenon_L83_); trivial.
% 54.96/55.15 apply (zenon_or_s _ _ zenon_H263); [ zenon_intro zenon_H212 | zenon_intro zenon_H264 ].
% 54.96/55.15 apply (zenon_L167_); trivial.
% 54.96/55.15 apply (zenon_or_s _ _ zenon_H264); [ zenon_intro zenon_H220 | zenon_intro zenon_H265 ].
% 54.96/55.15 apply (zenon_L110_); trivial.
% 54.96/55.15 apply (zenon_or_s _ _ zenon_H265); [ zenon_intro zenon_H222 | zenon_intro zenon_H266 ].
% 54.96/55.15 apply (zenon_L111_); trivial.
% 54.96/55.15 apply (zenon_or_s _ _ zenon_H266); [ zenon_intro zenon_H225 | zenon_intro zenon_H267 ].
% 54.96/55.15 apply (zenon_L113_); trivial.
% 54.96/55.15 apply (zenon_or_s _ _ zenon_H267); [ zenon_intro zenon_H22d | zenon_intro zenon_H268 ].
% 54.96/55.15 apply (zenon_L114_); trivial.
% 54.96/55.15 apply (zenon_or_s _ _ zenon_H268); [ zenon_intro zenon_H230 | zenon_intro zenon_H269 ].
% 54.96/55.15 apply (zenon_L115_); trivial.
% 54.96/55.15 apply (zenon_or_s _ _ zenon_H269); [ zenon_intro zenon_H232 | zenon_intro zenon_H26a ].
% 54.96/55.15 apply (zenon_L116_); trivial.
% 54.96/55.15 apply (zenon_or_s _ _ zenon_H26a); [ zenon_intro zenon_H240 | zenon_intro zenon_H242 ].
% 54.96/55.15 apply (zenon_L166_); trivial.
% 54.96/55.15 apply (zenon_L125_); trivial.
% 54.96/55.15 apply (zenon_or_s _ _ zenon_H489); [ zenon_intro zenon_H8b | zenon_intro zenon_H48a ].
% 54.96/55.15 exact (zenon_Had zenon_H8b).
% 54.96/55.15 apply (zenon_or_s _ _ zenon_H48a); [ zenon_intro zenon_H3c3 | zenon_intro zenon_H48b ].
% 54.96/55.15 apply (zenon_L352_); trivial.
% 54.96/55.15 apply (zenon_or_s _ _ zenon_H48b); [ zenon_intro zenon_H464 | zenon_intro zenon_H9e ].
% 54.96/55.15 apply (zenon_L768_); trivial.
% 54.96/55.15 apply (zenon_L27_); trivial.
% 54.96/55.15 apply (zenon_or_s _ _ zenon_H370); [ zenon_intro zenon_H335 | zenon_intro zenon_H363 ].
% 54.96/55.15 apply (zenon_L260_); trivial.
% 54.96/55.15 apply (zenon_L307_); trivial.
% 54.96/55.15 apply (zenon_L28_); trivial.
% 54.96/55.15 (* end of lemma zenon_L769_ *)
% 54.96/55.15 assert (zenon_L770_ : (((op2 (e21) (e20)) = (e21))/\(((op2 (e20) (e21)) = (e21))/\(((~((op2 (e20) (e20)) = (e20)))\/(~((op2 (e20) (e20)) = (e20))))/\(((~((op2 (e20) (e21)) = (e20)))\/(~((op2 (e20) (e20)) = (e21))))/\(((~((op2 (e20) (e22)) = (e20)))\/(~((op2 (e20) (e20)) = (e22))))/\((~((op2 (e20) (e23)) = (e20)))\/(~((op2 (e20) (e20)) = (e23))))))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> ((e23) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e22)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e20) (e21)) = (e23))\/(((op2 (e20) (e22)) = (e23))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> ((e20) = (op2 (e21) (e21))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e20) (e21)) = (e20))\/(((op2 (e20) (e22)) = (e20))\/((op2 (e20) (e23)) = (e20))))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e12))\/((op1 (e11) (e10)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> ((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) -> ((e12) = (op1 (op1 (op1 (e11) (e11)) (op1 (e11) (e11))) (op1 (e11) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((e10) = (e12))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e11)) = (e12))\/((op1 (e10) (e11)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (((op1 (e13) (e13)) = (e10))\/(((op1 (e13) (e13)) = (e11))\/(((op1 (e13) (e13)) = (e12))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (~((e12) = (e13))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> ((((op1 (e10) (e10)) = (e10))/\(((op1 (e10) (e10)) = (e10))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11))))/\(((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12))))/\((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))))))))\/((((op1 (e10) (e11)) = (e10))/\(((op1 (e11) (e10)) = (e10))/\(((~((op1 (e11) (e10)) = (e11)))\/(~((op1 (e11) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e11) (e12)) = (e11)))\/(~((op1 (e11) (e11)) = (e12))))/\((~((op1 (e11) (e13)) = (e11)))\/(~((op1 (e11) (e11)) = (e13)))))))))\/((((op1 (e10) (e12)) = (e10))/\(((op1 (e12) (e10)) = (e10))/\(((~((op1 (e12) (e10)) = (e12)))\/(~((op1 (e12) (e12)) = (e10))))/\(((~((op1 (e12) (e11)) = (e12)))\/(~((op1 (e12) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13)))))))))\/((((op1 (e10) (e13)) = (e10))/\(((op1 (e13) (e10)) = (e10))/\(((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e13) (e13)) = (e10))))/\(((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11))))/\(((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e13) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13)))))))))\/((((op1 (e11) (e10)) = (e11))/\(((op1 (e10) (e11)) = (e11))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11))))/\(((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12))))/\((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))))))))\/((((op1 (e11) (e11)) = (e11))/\(((op1 (e11) (e11)) = (e11))/\(((~((op1 (e11) (e10)) = (e11)))\/(~((op1 (e11) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e11) (e12)) = (e11)))\/(~((op1 (e11) (e11)) = (e12))))/\((~((op1 (e11) (e13)) = (e11)))\/(~((op1 (e11) (e11)) = (e13)))))))))\/((((op1 (e11) (e12)) = (e11))/\(((op1 (e12) (e11)) = (e11))/\(((~((op1 (e12) (e10)) = (e12)))\/(~((op1 (e12) (e12)) = (e10))))/\(((~((op1 (e12) (e11)) = (e12)))\/(~((op1 (e12) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13)))))))))\/((((op1 (e11) (e13)) = (e11))/\(((op1 (e13) (e11)) = (e11))/\(((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e13) (e13)) = (e10))))/\(((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11))))/\(((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e13) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13)))))))))\/((((op1 (e12) (e10)) = (e12))/\(((op1 (e10) (e12)) = (e12))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11))))/\(((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12))))/\((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))))))))\/((((op1 (e12) (e11)) = (e12))/\(((op1 (e11) (e12)) = (e12))/\(((~((op1 (e11) (e10)) = (e11)))\/(~((op1 (e11) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e11) (e12)) = (e11)))\/(~((op1 (e11) (e11)) = (e12))))/\((~((op1 (e11) (e13)) = (e11)))\/(~((op1 (e11) (e11)) = (e13)))))))))\/((((op1 (e12) (e12)) = (e12))/\(((op1 (e12) (e12)) = (e12))/\(((~((op1 (e12) (e10)) = (e12)))\/(~((op1 (e12) (e12)) = (e10))))/\(((~((op1 (e12) (e11)) = (e12)))\/(~((op1 (e12) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13)))))))))\/((((op1 (e12) (e13)) = (e12))/\(((op1 (e13) (e12)) = (e12))/\(((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e13) (e13)) = (e10))))/\(((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11))))/\(((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e13) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13)))))))))\/((((op1 (e13) (e10)) = (e13))/\(((op1 (e10) (e13)) = (e13))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11))))/\(((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12))))/\((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))))))))\/((((op1 (e13) (e11)) = (e13))/\(((op1 (e11) (e13)) = (e13))/\(((~((op1 (e11) (e10)) = (e11)))\/(~((op1 (e11) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e11) (e12)) = (e11)))\/(~((op1 (e11) (e11)) = (e12))))/\((~((op1 (e11) (e13)) = (e11)))\/(~((op1 (e11) (e11)) = (e13)))))))))\/((((op1 (e13) (e12)) = (e13))/\(((op1 (e12) (e13)) = (e13))/\(((~((op1 (e12) (e10)) = (e12)))\/(~((op1 (e12) (e12)) = (e10))))/\(((~((op1 (e12) (e11)) = (e12)))\/(~((op1 (e12) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13)))))))))\/(((op1 (e13) (e13)) = (e13))/\(((op1 (e13) (e13)) = (e13))/\(((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e13) (e13)) = (e10))))/\(((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11))))/\(((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e13) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13)))))))))))))))))))))))) -> ((e10) = (op1 (e11) (e11))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> ((e22) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> (~((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)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e21)) = (e22))\/((op2 (e23) (e21)) = (e23))))) -> ((op2 (e21) (op2 (e21) (e23))) = (e23)) -> (~((op2 (e21) (e22)) = (op2 (e21) (e23)))) -> (((op2 (e21) (e20)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/((op2 (e21) (e23)) = (e23))))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e10)) = (e12))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e13) (e10)) = (e12))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (~((op2 (e21) (e21)) = (op2 (e21) (e22)))) -> (((op2 (e21) (e20)) = (e20))\/(((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e20)) = (e22))\/((op2 (e21) (e20)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> ((op2 (e21) (op2 (e21) (e22))) = (e22)) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (((op2 (e21) (e22)) = (e20))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e22)) = (e23))))) -> (~((h2 (op1 (e12) (e11))) = (op2 (h2 (e12)) (h2 (e11))))) -> ((h2 (e11)) = (e21)) -> ((h2 (e12)) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (((op2 (e20) (e20)) = (e22))\/(((op2 (e21) (e20)) = (e22))\/(((op2 (e22) (e20)) = (e22))\/((op2 (e23) (e20)) = (e22))))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (((op1 (e10) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e12) (e11)) = (e13))))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e12) (e13)) = (e10))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> ((((op1 (e10) (op1 (e10) (e10))) = (e10))/\(((op1 (e10) (op1 (e10) (e11))) = (e11))/\(((op1 (e10) (op1 (e10) (e12))) = (e12))/\(((op1 (e10) (op1 (e10) (e13))) = (e13))/\(((~((op1 (e10) (e10)) = (e10)))\/((op1 (e10) (e10)) = (e10)))/\(((~((op1 (e11) (e11)) = (e10)))\/((op1 (e11) (e10)) = (e11)))/\(((~((op1 (e12) (e12)) = (e10)))\/((op1 (e12) (e10)) = (e12)))/\((~((op1 (e13) (e13)) = (e10)))\/((op1 (e13) (e10)) = (e13))))))))))\/((((op1 (e11) (op1 (e11) (e10))) = (e10))/\(((op1 (e11) (op1 (e11) (e11))) = (e11))/\(((op1 (e11) (op1 (e11) (e12))) = (e12))/\(((op1 (e11) (op1 (e11) (e13))) = (e13))/\(((~((op1 (e10) (e10)) = (e11)))\/((op1 (e10) (e11)) = (e10)))/\(((~((op1 (e11) (e11)) = (e11)))\/((op1 (e11) (e11)) = (e11)))/\(((~((op1 (e12) (e12)) = (e11)))\/((op1 (e12) (e11)) = (e12)))/\((~((op1 (e13) (e13)) = (e11)))\/((op1 (e13) (e11)) = (e13))))))))))\/((((op1 (e12) (op1 (e12) (e10))) = (e10))/\(((op1 (e12) (op1 (e12) (e11))) = (e11))/\(((op1 (e12) (op1 (e12) (e12))) = (e12))/\(((op1 (e12) (op1 (e12) (e13))) = (e13))/\(((~((op1 (e10) (e10)) = (e12)))\/((op1 (e10) (e12)) = (e10)))/\(((~((op1 (e11) (e11)) = (e12)))\/((op1 (e11) (e12)) = (e11)))/\(((~((op1 (e12) (e12)) = (e12)))\/((op1 (e12) (e12)) = (e12)))/\((~((op1 (e13) (e13)) = (e12)))\/((op1 (e13) (e12)) = (e13))))))))))\/(((op1 (e13) (op1 (e13) (e10))) = (e10))/\(((op1 (e13) (op1 (e13) (e11))) = (e11))/\(((op1 (e13) (op1 (e13) (e12))) = (e12))/\(((op1 (e13) (op1 (e13) (e13))) = (e13))/\(((~((op1 (e10) (e10)) = (e13)))\/((op1 (e10) (e13)) = (e10)))/\(((~((op1 (e11) (e11)) = (e13)))\/((op1 (e11) (e13)) = (e11)))/\(((~((op1 (e12) (e12)) = (e13)))\/((op1 (e12) (e13)) = (e12)))/\((~((op1 (e13) (e13)) = (e13)))\/((op1 (e13) (e13)) = (e13))))))))))))) -> False).
% 54.96/55.15 do 0 intro. intros zenon_Hb6 zenon_H93 zenon_H3b zenon_H98 zenon_H9f zenon_Ha5 zenon_H8d zenon_H33 zenon_Hac zenon_H15f zenon_H15a zenon_H15 zenon_H155 zenon_H154 zenon_H14b zenon_H186 zenon_H180 zenon_H179 zenon_H172 zenon_H16c zenon_H18a zenon_H18e zenon_H192 zenon_H246 zenon_H19d zenon_H1a0 zenon_H25 zenon_H1e zenon_H17 zenon_H1a9 zenon_H209 zenon_H206 zenon_H204 zenon_H1fd zenon_H1fa zenon_H1f7 zenon_H1f4 zenon_H1ed zenon_H1e8 zenon_H1da zenon_H1d8 zenon_H1cc zenon_H1de zenon_H1b1 zenon_H1be zenon_H20c zenon_H21a zenon_H236 zenon_H23b zenon_H245 zenon_H13 zenon_H3e zenon_H3f zenon_Hb0 zenon_H4ae zenon_H3b4 zenon_H39d zenon_H282 zenon_H60 zenon_H3af zenon_H3b1 zenon_H395 zenon_H47a zenon_H399 zenon_H2c2 zenon_H2c0 zenon_H2b1 zenon_H2ad zenon_H2a5 zenon_H2a3 zenon_H485 zenon_H4c3 zenon_H2b9 zenon_H358 zenon_H328 zenon_H30e zenon_H2c9 zenon_H7a zenon_H4a zenon_H45 zenon_Hc5 zenon_H32 zenon_Hf1 zenon_H3c2 zenon_H116 zenon_H489 zenon_H40c zenon_H481 zenon_H437 zenon_H40f zenon_H4e9 zenon_H270 zenon_H44f zenon_H3a8 zenon_Hb7 zenon_H32b zenon_H32e zenon_H2fd zenon_H2fb zenon_H2f6 zenon_H2f8 zenon_H325 zenon_H322 zenon_H321 zenon_H301 zenon_H30b zenon_H313 zenon_H316 zenon_H2ea zenon_H2e2 zenon_H2e6 zenon_H2e7 zenon_H2d9 zenon_H2d1 zenon_H35d zenon_H360 zenon_H345 zenon_H355 zenon_H36e.
% 54.96/55.15 apply (zenon_and_s _ _ zenon_Hb6). zenon_intro zenon_H4e. zenon_intro zenon_Hb8.
% 54.96/55.15 apply (zenon_and_s _ _ zenon_Hb8). zenon_intro zenon_Hb9. zenon_intro zenon_H2e.
% 54.96/55.15 apply (zenon_and_s _ _ zenon_H2e). zenon_intro zenon_H30. zenon_intro zenon_H2f.
% 54.96/55.15 apply (zenon_and_s _ _ zenon_H2f). zenon_intro zenon_Hbb. zenon_intro zenon_Hba.
% 54.96/55.15 apply (zenon_and_s _ _ zenon_Hba). zenon_intro zenon_Hbc. zenon_intro zenon_Haa.
% 54.96/55.15 apply (zenon_or_s _ _ zenon_H30); [ zenon_intro zenon_H31 | zenon_intro zenon_H31 ].
% 54.96/55.15 apply (zenon_L769_); trivial.
% 54.96/55.15 apply (zenon_L769_); trivial.
% 54.96/55.15 (* end of lemma zenon_L770_ *)
% 54.96/55.15 assert (zenon_L771_ : ((((op1 (e10) (op1 (e10) (e10))) = (e10))/\(((op1 (e10) (op1 (e10) (e11))) = (e11))/\(((op1 (e10) (op1 (e10) (e12))) = (e12))/\(((op1 (e10) (op1 (e10) (e13))) = (e13))/\(((~((op1 (e10) (e10)) = (e10)))\/((op1 (e10) (e10)) = (e10)))/\(((~((op1 (e11) (e11)) = (e10)))\/((op1 (e11) (e10)) = (e11)))/\(((~((op1 (e12) (e12)) = (e10)))\/((op1 (e12) (e10)) = (e12)))/\((~((op1 (e13) (e13)) = (e10)))\/((op1 (e13) (e10)) = (e13))))))))))\/((((op1 (e11) (op1 (e11) (e10))) = (e10))/\(((op1 (e11) (op1 (e11) (e11))) = (e11))/\(((op1 (e11) (op1 (e11) (e12))) = (e12))/\(((op1 (e11) (op1 (e11) (e13))) = (e13))/\(((~((op1 (e10) (e10)) = (e11)))\/((op1 (e10) (e11)) = (e10)))/\(((~((op1 (e11) (e11)) = (e11)))\/((op1 (e11) (e11)) = (e11)))/\(((~((op1 (e12) (e12)) = (e11)))\/((op1 (e12) (e11)) = (e12)))/\((~((op1 (e13) (e13)) = (e11)))\/((op1 (e13) (e11)) = (e13))))))))))\/((((op1 (e12) (op1 (e12) (e10))) = (e10))/\(((op1 (e12) (op1 (e12) (e11))) = (e11))/\(((op1 (e12) (op1 (e12) (e12))) = (e12))/\(((op1 (e12) (op1 (e12) (e13))) = (e13))/\(((~((op1 (e10) (e10)) = (e12)))\/((op1 (e10) (e12)) = (e10)))/\(((~((op1 (e11) (e11)) = (e12)))\/((op1 (e11) (e12)) = (e11)))/\(((~((op1 (e12) (e12)) = (e12)))\/((op1 (e12) (e12)) = (e12)))/\((~((op1 (e13) (e13)) = (e12)))\/((op1 (e13) (e12)) = (e13))))))))))\/(((op1 (e13) (op1 (e13) (e10))) = (e10))/\(((op1 (e13) (op1 (e13) (e11))) = (e11))/\(((op1 (e13) (op1 (e13) (e12))) = (e12))/\(((op1 (e13) (op1 (e13) (e13))) = (e13))/\(((~((op1 (e10) (e10)) = (e13)))\/((op1 (e10) (e13)) = (e10)))/\(((~((op1 (e11) (e11)) = (e13)))\/((op1 (e11) (e13)) = (e11)))/\(((~((op1 (e12) (e12)) = (e13)))\/((op1 (e12) (e13)) = (e12)))/\((~((op1 (e13) (e13)) = (e13)))\/((op1 (e13) (e13)) = (e13))))))))))))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((h2 (op1 (e12) (e11))) = (op2 (h2 (e12)) (h2 (e11))))) -> ((h2 (e11)) = (e21)) -> ((e22) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> ((h2 (e12)) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> ((op2 (e22) (e21)) = (e22)) -> (~((e10) = (e12))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e10)) = (e12))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e13) (e10)) = (e12))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (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)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (((op1 (e10) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e12) (e11)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((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 (e11) (e11)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e12) (e13)) = (e10))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> ((((op1 (e10) (e10)) = (e10))/\(((op1 (e10) (e10)) = (e10))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11))))/\(((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12))))/\((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))))))))\/((((op1 (e10) (e11)) = (e10))/\(((op1 (e11) (e10)) = (e10))/\(((~((op1 (e11) (e10)) = (e11)))\/(~((op1 (e11) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e11) (e12)) = (e11)))\/(~((op1 (e11) (e11)) = (e12))))/\((~((op1 (e11) (e13)) = (e11)))\/(~((op1 (e11) (e11)) = (e13)))))))))\/((((op1 (e10) (e12)) = (e10))/\(((op1 (e12) (e10)) = (e10))/\(((~((op1 (e12) (e10)) = (e12)))\/(~((op1 (e12) (e12)) = (e10))))/\(((~((op1 (e12) (e11)) = (e12)))\/(~((op1 (e12) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13)))))))))\/((((op1 (e10) (e13)) = (e10))/\(((op1 (e13) (e10)) = (e10))/\(((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e13) (e13)) = (e10))))/\(((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11))))/\(((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e13) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13)))))))))\/((((op1 (e11) (e10)) = (e11))/\(((op1 (e10) (e11)) = (e11))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11))))/\(((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12))))/\((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))))))))\/((((op1 (e11) (e11)) = (e11))/\(((op1 (e11) (e11)) = (e11))/\(((~((op1 (e11) (e10)) = (e11)))\/(~((op1 (e11) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e11) (e12)) = (e11)))\/(~((op1 (e11) (e11)) = (e12))))/\((~((op1 (e11) (e13)) = (e11)))\/(~((op1 (e11) (e11)) = (e13)))))))))\/((((op1 (e11) (e12)) = (e11))/\(((op1 (e12) (e11)) = (e11))/\(((~((op1 (e12) (e10)) = (e12)))\/(~((op1 (e12) (e12)) = (e10))))/\(((~((op1 (e12) (e11)) = (e12)))\/(~((op1 (e12) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13)))))))))\/((((op1 (e11) (e13)) = (e11))/\(((op1 (e13) (e11)) = (e11))/\(((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e13) (e13)) = (e10))))/\(((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11))))/\(((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e13) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13)))))))))\/((((op1 (e12) (e10)) = (e12))/\(((op1 (e10) (e12)) = (e12))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11))))/\(((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12))))/\((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))))))))\/((((op1 (e12) (e11)) = (e12))/\(((op1 (e11) (e12)) = (e12))/\(((~((op1 (e11) (e10)) = (e11)))\/(~((op1 (e11) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e11) (e12)) = (e11)))\/(~((op1 (e11) (e11)) = (e12))))/\((~((op1 (e11) (e13)) = (e11)))\/(~((op1 (e11) (e11)) = (e13)))))))))\/((((op1 (e12) (e12)) = (e12))/\(((op1 (e12) (e12)) = (e12))/\(((~((op1 (e12) (e10)) = (e12)))\/(~((op1 (e12) (e12)) = (e10))))/\(((~((op1 (e12) (e11)) = (e12)))\/(~((op1 (e12) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13)))))))))\/((((op1 (e12) (e13)) = (e12))/\(((op1 (e13) (e12)) = (e12))/\(((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e13) (e13)) = (e10))))/\(((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11))))/\(((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e13) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13)))))))))\/((((op1 (e13) (e10)) = (e13))/\(((op1 (e10) (e13)) = (e13))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11))))/\(((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12))))/\((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))))))))\/((((op1 (e13) (e11)) = (e13))/\(((op1 (e11) (e13)) = (e13))/\(((~((op1 (e11) (e10)) = (e11)))\/(~((op1 (e11) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e11) (e12)) = (e11)))\/(~((op1 (e11) (e11)) = (e12))))/\((~((op1 (e11) (e13)) = (e11)))\/(~((op1 (e11) (e11)) = (e13)))))))))\/((((op1 (e13) (e12)) = (e13))/\(((op1 (e12) (e13)) = (e13))/\(((~((op1 (e12) (e10)) = (e12)))\/(~((op1 (e12) (e12)) = (e10))))/\(((~((op1 (e12) (e11)) = (e12)))\/(~((op1 (e12) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13)))))))))\/(((op1 (e13) (e13)) = (e13))/\(((op1 (e13) (e13)) = (e13))/\(((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e13) (e13)) = (e10))))/\(((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11))))/\(((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e13) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13)))))))))))))))))))))))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((e12) = (e13))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e13)) = (e10))\/(((op1 (e13) (e13)) = (e11))\/(((op1 (e13) (e13)) = (e12))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> ((e12) = (op1 (op1 (op1 (e11) (e11)) (op1 (e11) (e11))) (op1 (e11) (e11)))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e12))\/((op1 (e11) (e10)) = (e13))))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> ((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) -> ((e10) = (op1 (e11) (e11))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> False).
% 54.96/55.15 do 0 intro. intros zenon_H36e zenon_H192 zenon_H1ed zenon_H1de zenon_H4e9 zenon_H270 zenon_H3f zenon_H44f zenon_Hd3 zenon_H16c zenon_H1fa zenon_H4c3 zenon_H485 zenon_H2a5 zenon_H2b1 zenon_H1e8 zenon_H1f7 zenon_H32b zenon_H206 zenon_H32e zenon_H1a9 zenon_H246 zenon_H2fd zenon_H2c0 zenon_H2b9 zenon_H328 zenon_H325 zenon_H322 zenon_H1f4 zenon_H2c2 zenon_H321 zenon_H301 zenon_H30b zenon_H204 zenon_H30e zenon_H316 zenon_H19d zenon_H2ea zenon_H2e2 zenon_H2a3 zenon_H2e6 zenon_H2d9 zenon_H1cc zenon_H2d1 zenon_H245 zenon_H1d8 zenon_H1da zenon_H209 zenon_H358 zenon_H2c9 zenon_H355 zenon_H1fd zenon_H2f6 zenon_H23b zenon_H2ad zenon_H236 zenon_H2e7 zenon_H21a zenon_H313 zenon_H1be zenon_H345 zenon_H20c zenon_H1b1 zenon_H186 zenon_H180 zenon_H179 zenon_H172 zenon_H18e zenon_H14b zenon_H154 zenon_H155 zenon_H15a zenon_H15f zenon_H2fb zenon_H360 zenon_H2f8 zenon_H35d zenon_H18a zenon_H17 zenon_H15 zenon_H13 zenon_H1e zenon_H25 zenon_H1a0.
% 54.96/55.15 apply (zenon_or_s _ _ zenon_H36e); [ zenon_intro zenon_H244 | zenon_intro zenon_H36f ].
% 54.96/55.15 apply (zenon_L126_); trivial.
% 54.96/55.15 apply (zenon_or_s _ _ zenon_H36f); [ zenon_intro zenon_H371 | zenon_intro zenon_H370 ].
% 54.96/55.15 apply (zenon_and_s _ _ zenon_H371). zenon_intro zenon_H292. zenon_intro zenon_H372.
% 54.96/55.15 apply (zenon_and_s _ _ zenon_H372). zenon_intro zenon_H2a6. zenon_intro zenon_H373.
% 54.96/55.15 apply (zenon_and_s _ _ zenon_H373). zenon_intro zenon_H375. zenon_intro zenon_H374.
% 54.96/55.15 apply (zenon_and_s _ _ zenon_H374). zenon_intro zenon_H29e. zenon_intro zenon_H376.
% 54.96/55.15 apply (zenon_and_s _ _ zenon_H376). zenon_intro zenon_H378. zenon_intro zenon_H377.
% 54.96/55.15 apply (zenon_and_s _ _ zenon_H377). zenon_intro zenon_H37a. zenon_intro zenon_H379.
% 54.96/55.15 apply (zenon_and_s _ _ zenon_H379). zenon_intro zenon_H37c. zenon_intro zenon_H37b.
% 54.96/55.15 apply (zenon_L753_); trivial.
% 54.96/55.15 apply (zenon_or_s _ _ zenon_H370); [ zenon_intro zenon_H335 | zenon_intro zenon_H363 ].
% 54.96/55.15 apply (zenon_L260_); trivial.
% 54.96/55.15 apply (zenon_L307_); trivial.
% 54.96/55.15 (* end of lemma zenon_L771_ *)
% 54.96/55.15 assert (zenon_L772_ : (~((h2 (op1 (e12) (e12))) = (op2 (h2 (e12)) (h2 (e12))))) -> ((h2 (e13)) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((op1 (e12) (e12)) = (e13)) -> ((op2 (e22) (e22)) = (e23)) -> ((e23) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((h2 (e12)) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> ((e22) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> False).
% 54.96/55.15 do 0 intro. intros zenon_H4f4 zenon_H461 zenon_H1d3 zenon_Hf6 zenon_H3b zenon_H44f zenon_H3f.
% 54.96/55.15 cut (((h2 (e13)) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) = ((h2 (op1 (e12) (e12))) = (op2 (h2 (e12)) (h2 (e12))))).
% 54.96/55.15 intro zenon_D_pnotp.
% 54.96/55.15 apply zenon_H4f4.
% 54.96/55.15 rewrite <- zenon_D_pnotp.
% 54.96/55.15 exact zenon_H461.
% 54.96/55.15 cut (((op2 (op2 (e21) (e21)) (op2 (e21) (e21))) = (op2 (h2 (e12)) (h2 (e12))))); [idtac | apply NNPP; zenon_intro zenon_H4f5].
% 54.96/55.15 cut (((h2 (e13)) = (h2 (op1 (e12) (e12))))); [idtac | apply NNPP; zenon_intro zenon_H4f6].
% 54.96/55.15 congruence.
% 54.96/55.15 elim (classic ((h2 (op1 (e12) (e12))) = (h2 (op1 (e12) (e12))))); [ zenon_intro zenon_H4f7 | zenon_intro zenon_H4f8 ].
% 54.96/55.15 cut (((h2 (op1 (e12) (e12))) = (h2 (op1 (e12) (e12)))) = ((h2 (e13)) = (h2 (op1 (e12) (e12))))).
% 54.96/55.15 intro zenon_D_pnotp.
% 54.96/55.15 apply zenon_H4f6.
% 54.96/55.15 rewrite <- zenon_D_pnotp.
% 54.96/55.15 exact zenon_H4f7.
% 54.96/55.15 cut (((h2 (op1 (e12) (e12))) = (h2 (op1 (e12) (e12))))); [idtac | apply NNPP; zenon_intro zenon_H4f8].
% 54.96/55.15 cut (((h2 (op1 (e12) (e12))) = (h2 (e13)))); [idtac | apply NNPP; zenon_intro zenon_H4f9].
% 54.96/55.15 congruence.
% 54.96/55.15 cut (((op1 (e12) (e12)) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H29d].
% 54.96/55.15 congruence.
% 54.96/55.15 exact (zenon_H29d zenon_H1d3).
% 54.96/55.15 apply zenon_H4f8. apply refl_equal.
% 54.96/55.15 apply zenon_H4f8. apply refl_equal.
% 54.96/55.15 elim (classic ((op2 (h2 (e12)) (h2 (e12))) = (op2 (h2 (e12)) (h2 (e12))))); [ zenon_intro zenon_H4fa | zenon_intro zenon_H4fb ].
% 54.96/55.15 cut (((op2 (h2 (e12)) (h2 (e12))) = (op2 (h2 (e12)) (h2 (e12)))) = ((op2 (op2 (e21) (e21)) (op2 (e21) (e21))) = (op2 (h2 (e12)) (h2 (e12))))).
% 54.96/55.15 intro zenon_D_pnotp.
% 54.96/55.15 apply zenon_H4f5.
% 54.96/55.15 rewrite <- zenon_D_pnotp.
% 54.96/55.15 exact zenon_H4fa.
% 54.96/55.15 cut (((op2 (h2 (e12)) (h2 (e12))) = (op2 (h2 (e12)) (h2 (e12))))); [idtac | apply NNPP; zenon_intro zenon_H4fb].
% 54.96/55.15 cut (((op2 (h2 (e12)) (h2 (e12))) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21))))); [idtac | apply NNPP; zenon_intro zenon_H4fc].
% 54.96/55.15 congruence.
% 54.96/55.15 cut (((op2 (e22) (e22)) = (e23)) = ((op2 (h2 (e12)) (h2 (e12))) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21))))).
% 54.96/55.15 intro zenon_D_pnotp.
% 54.96/55.15 apply zenon_H4fc.
% 54.96/55.15 rewrite <- zenon_D_pnotp.
% 54.96/55.15 exact zenon_Hf6.
% 54.96/55.15 cut (((e23) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21))))); [idtac | apply NNPP; zenon_intro zenon_H4ba].
% 54.96/55.15 cut (((op2 (e22) (e22)) = (op2 (h2 (e12)) (h2 (e12))))); [idtac | apply NNPP; zenon_intro zenon_H4fd].
% 54.96/55.15 congruence.
% 54.96/55.15 elim (classic ((op2 (h2 (e12)) (h2 (e12))) = (op2 (h2 (e12)) (h2 (e12))))); [ zenon_intro zenon_H4fa | zenon_intro zenon_H4fb ].
% 54.96/55.15 cut (((op2 (h2 (e12)) (h2 (e12))) = (op2 (h2 (e12)) (h2 (e12)))) = ((op2 (e22) (e22)) = (op2 (h2 (e12)) (h2 (e12))))).
% 54.96/55.15 intro zenon_D_pnotp.
% 54.96/55.15 apply zenon_H4fd.
% 54.96/55.15 rewrite <- zenon_D_pnotp.
% 54.96/55.15 exact zenon_H4fa.
% 54.96/55.15 cut (((op2 (h2 (e12)) (h2 (e12))) = (op2 (h2 (e12)) (h2 (e12))))); [idtac | apply NNPP; zenon_intro zenon_H4fb].
% 54.96/55.15 cut (((op2 (h2 (e12)) (h2 (e12))) = (op2 (e22) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H4fe].
% 54.96/55.15 congruence.
% 54.96/55.15 cut (((h2 (e12)) = (e22))); [idtac | apply NNPP; zenon_intro zenon_H44e].
% 54.96/55.15 cut (((h2 (e12)) = (e22))); [idtac | apply NNPP; zenon_intro zenon_H44e].
% 54.96/55.15 congruence.
% 54.96/55.15 apply (zenon_L469_); trivial.
% 54.96/55.15 apply (zenon_L469_); trivial.
% 54.96/55.15 apply zenon_H4fb. apply refl_equal.
% 54.96/55.15 apply zenon_H4fb. apply refl_equal.
% 54.96/55.15 exact (zenon_H4ba zenon_H3b).
% 54.96/55.15 apply zenon_H4fb. apply refl_equal.
% 54.96/55.15 apply zenon_H4fb. apply refl_equal.
% 54.96/55.15 (* end of lemma zenon_L772_ *)
% 54.96/55.15 assert (zenon_L773_ : (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> ((e22) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> ((h2 (e12)) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> ((e23) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((op2 (e22) (e22)) = (e23)) -> ((h2 (e13)) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> (~((h2 (op1 (e12) (e12))) = (op2 (h2 (e12)) (h2 (e12))))) -> ((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) -> ((op1 (e11) (e11)) = (e12)) -> ((e10) = (op1 (e11) (e11))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> False).
% 54.96/55.15 do 0 intro. intros zenon_H2c9 zenon_H1e zenon_H358 zenon_H3f zenon_H44f zenon_H3b zenon_Hf6 zenon_H461 zenon_H4f4 zenon_H15 zenon_H1b8 zenon_H13 zenon_H18e.
% 54.96/55.15 apply (zenon_or_s _ _ zenon_H2c9); [ zenon_intro zenon_H1d | zenon_intro zenon_H2ca ].
% 54.96/55.15 apply (zenon_L3_); trivial.
% 54.96/55.15 apply (zenon_or_s _ _ zenon_H2ca); [ zenon_intro zenon_H1f3 | zenon_intro zenon_H2cb ].
% 54.96/55.15 apply (zenon_L289_); trivial.
% 54.96/55.15 apply (zenon_or_s _ _ zenon_H2cb); [ zenon_intro zenon_H1d3 | zenon_intro zenon_H1ba ].
% 54.96/55.15 apply (zenon_L772_); trivial.
% 54.96/55.15 apply (zenon_L86_); trivial.
% 54.96/55.15 (* end of lemma zenon_L773_ *)
% 54.96/55.15 assert (zenon_L774_ : (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((e12) = (e13))) -> ((op1 (e12) (e11)) = (e12)) -> ((e22) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> ((h2 (e12)) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> ((e23) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((op2 (e22) (e22)) = (e23)) -> ((h2 (e13)) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> (~((h2 (op1 (e12) (e12))) = (op2 (h2 (e12)) (h2 (e12))))) -> ((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) -> ((op1 (e11) (e11)) = (e13)) -> ((e10) = (op1 (e11) (e11))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> False).
% 54.96/55.15 do 0 intro. intros zenon_H2e7 zenon_H2ad zenon_H236 zenon_H202 zenon_H3f zenon_H44f zenon_H3b zenon_Hf6 zenon_H461 zenon_H4f4 zenon_H15 zenon_H2b7 zenon_H13 zenon_H2b9.
% 54.96/55.15 apply (zenon_or_s _ _ zenon_H2e7); [ zenon_intro zenon_H2ac | zenon_intro zenon_H2e8 ].
% 54.96/55.15 apply (zenon_L154_); trivial.
% 54.96/55.15 apply (zenon_or_s _ _ zenon_H2e8); [ zenon_intro zenon_H2e3 | zenon_intro zenon_H2e9 ].
% 54.96/55.15 apply (zenon_L482_); trivial.
% 54.96/55.15 apply (zenon_or_s _ _ zenon_H2e9); [ zenon_intro zenon_H1d3 | zenon_intro zenon_H235 ].
% 54.96/55.15 apply (zenon_L772_); trivial.
% 54.96/55.15 apply (zenon_L163_); trivial.
% 54.96/55.15 (* end of lemma zenon_L774_ *)
% 54.96/55.15 assert (zenon_L775_ : (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> ((e10) = (op1 (e11) (e11))) -> ((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) -> (~((e12) = (e13))) -> ((op1 (e12) (e11)) = (e12)) -> ((e22) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> ((h2 (e12)) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> ((e23) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((op2 (e22) (e22)) = (e23)) -> ((h2 (e13)) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> (~((h2 (op1 (e12) (e12))) = (op2 (h2 (e12)) (h2 (e12))))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> ((op1 (e11) (op1 (e11) (e13))) = (e13)) -> ((op1 (e11) (e13)) = (e13)) -> False).
% 54.96/55.15 do 0 intro. intros zenon_H2e7 zenon_H2ad zenon_H13 zenon_H15 zenon_H236 zenon_H202 zenon_H3f zenon_H44f zenon_H3b zenon_Hf6 zenon_H461 zenon_H4f4 zenon_H2c0 zenon_H29e zenon_H234.
% 54.96/55.15 apply (zenon_or_s _ _ zenon_H2e7); [ zenon_intro zenon_H2ac | zenon_intro zenon_H2e8 ].
% 54.96/55.15 apply (zenon_L154_); trivial.
% 54.96/55.15 apply (zenon_or_s _ _ zenon_H2e8); [ zenon_intro zenon_H2e3 | zenon_intro zenon_H2e9 ].
% 54.96/55.15 apply (zenon_L482_); trivial.
% 54.96/55.15 apply (zenon_or_s _ _ zenon_H2e9); [ zenon_intro zenon_H1d3 | zenon_intro zenon_H235 ].
% 54.96/55.15 apply (zenon_L772_); trivial.
% 54.96/55.15 apply (zenon_L165_); trivial.
% 54.96/55.15 (* end of lemma zenon_L775_ *)
% 54.96/55.15 assert (zenon_L776_ : (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> ((e12) = (op1 (op1 (op1 (e11) (e11)) (op1 (e11) (e11))) (op1 (e11) (e11)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> ((op1 (e11) (op1 (e11) (e12))) = (e12)) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> ((op1 (e11) (e12)) = (e12)) -> (~((op1 (e12) (e13)) = (e12))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> ((e10) = (op1 (e11) (e11))) -> ((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) -> (~((e12) = (e13))) -> ((op1 (e12) (e11)) = (e12)) -> ((e22) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> ((h2 (e12)) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> ((e23) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((op2 (e22) (e22)) = (e23)) -> ((h2 (e13)) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> (~((h2 (op1 (e12) (e12))) = (op2 (h2 (e12)) (h2 (e12))))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> ((op1 (e11) (op1 (e11) (e13))) = (e13)) -> False).
% 54.96/55.15 do 0 intro. intros zenon_H2c2 zenon_H15a zenon_H2b9 zenon_H180 zenon_H155 zenon_H179 zenon_H172 zenon_H32e zenon_H30e zenon_H375 zenon_H1ed zenon_H1c6 zenon_H27d zenon_H186 zenon_H2e7 zenon_H2ad zenon_H13 zenon_H15 zenon_H236 zenon_H202 zenon_H3f zenon_H44f zenon_H3b zenon_Hf6 zenon_H461 zenon_H4f4 zenon_H2c0 zenon_H29e.
% 54.96/55.15 apply (zenon_or_s _ _ zenon_H2c2); [ zenon_intro zenon_H159 | zenon_intro zenon_H2c3 ].
% 54.96/55.15 apply (zenon_L64_); trivial.
% 54.96/55.15 apply (zenon_or_s _ _ zenon_H2c3); [ zenon_intro zenon_H2b7 | zenon_intro zenon_H2c4 ].
% 54.96/55.15 apply (zenon_L774_); trivial.
% 54.96/55.15 apply (zenon_or_s _ _ zenon_H2c4); [ zenon_intro zenon_H1f3 | zenon_intro zenon_H234 ].
% 54.96/55.15 apply (zenon_L498_); trivial.
% 54.96/55.15 apply (zenon_L775_); trivial.
% 54.96/55.15 (* end of lemma zenon_L776_ *)
% 54.96/55.15 assert (zenon_L777_ : (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> ((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) -> ((e12) = (op1 (op1 (op1 (e11) (e11)) (op1 (e11) (e11))) (op1 (e11) (e11)))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> ((op1 (e11) (op1 (e11) (e12))) = (e12)) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (~((op1 (e12) (e13)) = (e12))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((e12) = (e13))) -> ((e22) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> ((h2 (e12)) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> ((e23) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((op2 (e22) (e22)) = (e23)) -> ((h2 (e13)) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> (~((h2 (op1 (e12) (e12))) = (op2 (h2 (e12)) (h2 (e12))))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> ((op1 (e11) (op1 (e11) (e10))) = (e10)) -> ((op1 (e12) (e10)) = (e10)) -> ((op1 (e11) (e10)) = (e11)) -> ((op1 (e10) (e12)) = (e10)) -> ((e10) = (op1 (e11) (e11))) -> (~((op1 (e12) (e12)) = (e11))) -> (~((op1 (e12) (e12)) = (e12))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> ((op1 (e11) (op1 (e11) (e13))) = (e13)) -> False).
% 54.96/55.15 do 0 intro. intros zenon_H1fa zenon_H154 zenon_H172 zenon_H15 zenon_H155 zenon_H2c2 zenon_H15a zenon_H2b9 zenon_H180 zenon_H179 zenon_H32e zenon_H30e zenon_H375 zenon_H1ed zenon_H27d zenon_H186 zenon_H2e7 zenon_H2ad zenon_H236 zenon_H3f zenon_H44f zenon_H3b zenon_Hf6 zenon_H461 zenon_H4f4 zenon_H2c0 zenon_H2c9 zenon_H1e zenon_H358 zenon_H18e zenon_H23b zenon_H21a zenon_H204 zenon_H209 zenon_H1da zenon_H1de zenon_H292 zenon_H293 zenon_H163 zenon_H18f zenon_H13 zenon_H23f zenon_H1d1 zenon_H1cc zenon_H29e.
% 54.96/55.15 apply (zenon_or_s _ _ zenon_H1fa); [ zenon_intro zenon_H156 | zenon_intro zenon_H1fb ].
% 54.96/55.15 apply (zenon_L63_); trivial.
% 54.96/55.15 apply (zenon_or_s _ _ zenon_H1fb); [ zenon_intro zenon_H1b8 | zenon_intro zenon_H1fc ].
% 54.96/55.15 apply (zenon_L773_); trivial.
% 54.96/55.15 apply (zenon_or_s _ _ zenon_H1fc); [ zenon_intro zenon_H1c6 | zenon_intro zenon_H1ec ].
% 54.96/55.15 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H1dc | zenon_intro zenon_H20a ].
% 54.96/55.15 apply (zenon_L486_); trivial.
% 54.96/55.15 apply (zenon_or_s _ _ zenon_H20a); [ zenon_intro zenon_H1b8 | zenon_intro zenon_H20b ].
% 54.96/55.15 apply (zenon_L773_); trivial.
% 54.96/55.15 apply (zenon_or_s _ _ zenon_H20b); [ zenon_intro zenon_H202 | zenon_intro zenon_H171 ].
% 54.96/55.15 apply (zenon_L776_); trivial.
% 54.96/55.15 apply (zenon_L69_); trivial.
% 54.96/55.15 apply (zenon_L500_); trivial.
% 54.96/55.15 (* end of lemma zenon_L777_ *)
% 54.96/55.15 assert (zenon_L778_ : (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (~((op1 (e12) (e13)) = (e12))) -> (~((op1 (e12) (e12)) = (e12))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((h2 (op1 (e12) (e12))) = (op2 (h2 (e12)) (h2 (e12))))) -> ((h2 (e13)) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((op2 (e22) (e22)) = (e23)) -> ((e23) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((h2 (e12)) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> ((e22) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> ((op1 (e11) (e13)) = (e11)) -> ((op1 (e11) (op1 (e11) (e13))) = (e13)) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((e12) = (e13))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> ((op1 (e11) (e13)) = (e12)) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> ((e12) = (op1 (op1 (op1 (e11) (e11)) (op1 (e11) (e11))) (op1 (e11) (e11)))) -> ((e10) = (op1 (e11) (e11))) -> ((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> False).
% 54.96/55.15 do 0 intro. intros zenon_H209 zenon_H27d zenon_H1d1 zenon_H186 zenon_H204 zenon_H179 zenon_H180 zenon_H21a zenon_H23b zenon_H18e zenon_H4f4 zenon_H461 zenon_Hf6 zenon_H3b zenon_H44f zenon_H3f zenon_H358 zenon_H1e zenon_H2c9 zenon_H214 zenon_H29e zenon_H18a zenon_H236 zenon_H2e7 zenon_H2ad zenon_H1ec zenon_H1cc zenon_H2b9 zenon_H17 zenon_H313 zenon_H155 zenon_H13 zenon_H15 zenon_H172.
% 54.96/55.15 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H1dc | zenon_intro zenon_H20a ].
% 54.96/55.15 apply (zenon_L486_); trivial.
% 54.96/55.15 apply (zenon_or_s _ _ zenon_H20a); [ zenon_intro zenon_H1b8 | zenon_intro zenon_H20b ].
% 54.96/55.15 apply (zenon_L773_); trivial.
% 54.96/55.15 apply (zenon_or_s _ _ zenon_H20b); [ zenon_intro zenon_H202 | zenon_intro zenon_H171 ].
% 54.96/55.15 apply (zenon_L508_); trivial.
% 54.96/55.15 apply (zenon_L69_); trivial.
% 54.96/55.15 (* end of lemma zenon_L778_ *)
% 54.96/55.15 assert (zenon_L779_ : (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> ((e12) = (op1 (op1 (op1 (e11) (e11)) (op1 (e11) (e11))) (op1 (e11) (e11)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((e12) = (e13))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> ((op1 (e11) (op1 (e11) (e13))) = (e13)) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> ((e22) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> ((h2 (e12)) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> ((e23) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((op2 (e22) (e22)) = (e23)) -> ((h2 (e13)) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> (~((h2 (op1 (e12) (e12))) = (op2 (h2 (e12)) (h2 (e12))))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e12) (e12)) = (e12))) -> (~((op1 (e12) (e13)) = (e12))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (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) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((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)) = (op1 (e11) (e10)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e12)) = (e11))) -> ((op1 (e11) (op1 (e11) (e10))) = (e10)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> ((op1 (e11) (op1 (e11) (e11))) = (e11)) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e12))\/((op1 (e11) (e10)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> ((op1 (e11) (op1 (e11) (e12))) = (e12)) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (~((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 (e11) (e12)))) -> (~((op1 (e11) (e11)) = (e11))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> ((op1 (e12) (e10)) = (e10)) -> ((op1 (e10) (e12)) = (e10)) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> ((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) -> ((e10) = (op1 (e11) (e11))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> False).
% 54.96/55.15 do 0 intro. intros zenon_H1a0 zenon_H172 zenon_H155 zenon_H313 zenon_H2b9 zenon_H1cc zenon_H2ad zenon_H2e7 zenon_H236 zenon_H18a zenon_H29e zenon_H2c9 zenon_H358 zenon_H3f zenon_H44f zenon_H3b zenon_Hf6 zenon_H461 zenon_H4f4 zenon_H18e zenon_H23b zenon_H21a zenon_H180 zenon_H179 zenon_H204 zenon_H186 zenon_H1d1 zenon_H27d zenon_H209 zenon_H2c2 zenon_H316 zenon_H301 zenon_H1fd zenon_H2f8 zenon_H360 zenon_H19d zenon_H206 zenon_H15a zenon_H154 zenon_H2b1 zenon_H1d8 zenon_H23f zenon_H292 zenon_H2a3 zenon_H1da zenon_H2a6 zenon_H2a5 zenon_H14b zenon_H15f zenon_H1b1 zenon_H1be zenon_H32e zenon_H375 zenon_H1ed zenon_H30e zenon_H1fa zenon_H1a9 zenon_H473 zenon_H2c0 zenon_H1de zenon_H293 zenon_H18f zenon_H474 zenon_H17 zenon_H1e zenon_H15 zenon_H13 zenon_H25.
% 54.96/55.15 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_H1a3 | zenon_intro zenon_H1a2 ].
% 54.96/55.15 apply (zenon_or_s _ _ zenon_H474); [ zenon_intro zenon_H163 | zenon_intro zenon_H475 ].
% 54.96/55.15 apply (zenon_L777_); trivial.
% 54.96/55.15 apply (zenon_or_s _ _ zenon_H475); [ zenon_intro zenon_H1a7 | zenon_intro zenon_H476 ].
% 54.96/55.15 exact (zenon_H473 zenon_H1a7).
% 54.96/55.15 apply (zenon_or_s _ _ zenon_H476); [ zenon_intro zenon_H1a8 | zenon_intro zenon_H214 ].
% 54.96/55.15 apply (zenon_L82_); trivial.
% 54.96/55.15 apply (zenon_or_s _ _ zenon_H1fa); [ zenon_intro zenon_H156 | zenon_intro zenon_H1fb ].
% 54.96/55.15 apply (zenon_L63_); trivial.
% 54.96/55.15 apply (zenon_or_s _ _ zenon_H1fb); [ zenon_intro zenon_H1b8 | zenon_intro zenon_H1fc ].
% 54.96/55.15 apply (zenon_L773_); trivial.
% 54.96/55.15 apply (zenon_or_s _ _ zenon_H1fc); [ zenon_intro zenon_H1c6 | zenon_intro zenon_H1ec ].
% 54.96/55.15 apply (zenon_L506_); trivial.
% 54.96/55.15 apply (zenon_L778_); trivial.
% 54.96/55.15 apply (zenon_or_s _ _ zenon_H1a2); [ zenon_intro zenon_H16 | zenon_intro zenon_H1a4 ].
% 54.96/55.15 apply (zenon_L2_); trivial.
% 54.96/55.15 apply (zenon_or_s _ _ zenon_H1a4); [ zenon_intro zenon_H1d | zenon_intro zenon_H24 ].
% 54.96/55.15 apply (zenon_L3_); trivial.
% 54.96/55.15 apply (zenon_L4_); trivial.
% 54.96/55.15 (* end of lemma zenon_L779_ *)
% 54.96/55.15 assert (zenon_L780_ : ((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> ((op2 (e22) (e20)) = (e20)) -> (~((op2 (e22) (e22)) = (e21))) -> (~((op2 (e22) (e22)) = (e22))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((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) (e12)) = (op1 (e12) (e12)))) -> ((op1 (e11) (op1 (e11) (e10))) = (e10)) -> ((op1 (e12) (e10)) = (e10)) -> ((op1 (e10) (e12)) = (e10)) -> (~((op1 (e12) (e12)) = (e11))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e12) (e12)) = (e12))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> ((op1 (e11) (op1 (e11) (e13))) = (e13)) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> ((op1 (e11) (op1 (e11) (e12))) = (e12)) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((e12) = (e13))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((h2 (op1 (e12) (e12))) = (op2 (h2 (e12)) (h2 (e12))))) -> ((h2 (e13)) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((e22) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> ((h2 (e12)) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> ((e23) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> ((e10) = (op1 (e11) (e11))) -> ((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) -> ((e12) = (op1 (op1 (op1 (e11) (e11)) (op1 (e11) (e11))) (op1 (e11) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e11) (e11)) = (e11))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e12))\/((op1 (e11) (e10)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e11)) = (e12))\/((op1 (e10) (e11)) = (e13))))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> ((op1 (e11) (op1 (e11) (e11))) = (e11)) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (((op2 (e22) (e22)) = (e20))\/(((op2 (e22) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e22)) = (e23))))) -> False).
% 54.96/55.15 do 0 intro. intros zenon_H22c zenon_H37d zenon_H121 zenon_H101 zenon_Hd7 zenon_H1a0 zenon_H25 zenon_H1fa zenon_H1de zenon_H292 zenon_H293 zenon_H18f zenon_H23f zenon_H1cc zenon_H1da zenon_H23b zenon_H1d1 zenon_H204 zenon_H172 zenon_H179 zenon_H180 zenon_H186 zenon_H21a zenon_H2c2 zenon_H2c0 zenon_H29e zenon_H32e zenon_H1ed zenon_H375 zenon_H30e zenon_H2ad zenon_H236 zenon_H2b9 zenon_H2e7 zenon_H15a zenon_H209 zenon_H1e zenon_H358 zenon_H4f4 zenon_H461 zenon_H3f zenon_H44f zenon_H3b zenon_H18e zenon_H2c9 zenon_H13 zenon_H15 zenon_H155 zenon_H154 zenon_H473 zenon_H15f zenon_H1a9 zenon_H14b zenon_H1be zenon_H19d zenon_H316 zenon_H360 zenon_H1fd zenon_H2f8 zenon_H301 zenon_H17 zenon_H206 zenon_H1d8 zenon_H2a3 zenon_H2a5 zenon_H2a6 zenon_H2b1 zenon_H18a zenon_H1b1 zenon_H313 zenon_H474 zenon_H100.
% 54.96/55.15 apply (zenon_or_s _ _ zenon_H22c); [ zenon_intro zenon_H27d | zenon_intro zenon_H29d ].
% 54.96/55.15 apply (zenon_or_s _ _ zenon_H100); [ zenon_intro zenon_H88 | zenon_intro zenon_H102 ].
% 54.96/55.15 apply (zenon_L309_); trivial.
% 54.96/55.15 apply (zenon_or_s _ _ zenon_H102); [ zenon_intro zenon_H104 | zenon_intro zenon_H103 ].
% 54.96/55.15 exact (zenon_H101 zenon_H104).
% 54.96/55.15 apply (zenon_or_s _ _ zenon_H103); [ zenon_intro zenon_Hd6 | zenon_intro zenon_Hf6 ].
% 54.96/55.15 exact (zenon_Hd7 zenon_Hd6).
% 54.96/55.15 apply (zenon_L779_); trivial.
% 54.96/55.15 apply (zenon_L144_); trivial.
% 54.96/55.15 (* end of lemma zenon_L780_ *)
% 54.96/55.15 assert (zenon_L781_ : ((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12)))) -> (((op2 (e22) (e22)) = (e20))\/(((op2 (e22) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e22)) = (e23))))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> ((op1 (e11) (op1 (e11) (e11))) = (e11)) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e11)) = (e12))\/((op1 (e10) (e11)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e12))\/((op1 (e11) (e10)) = (e13))))) -> (~((op1 (e11) (e11)) = (e11))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> ((e12) = (op1 (op1 (op1 (e11) (e11)) (op1 (e11) (e11))) (op1 (e11) (e11)))) -> ((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) -> ((e10) = (op1 (e11) (e11))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> ((e23) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((h2 (e12)) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> ((e22) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> ((h2 (e13)) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> (~((h2 (op1 (e12) (e12))) = (op2 (h2 (e12)) (h2 (e12))))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((e12) = (e13))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> ((op1 (e11) (op1 (e11) (e12))) = (e12)) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> ((op1 (e11) (op1 (e11) (e13))) = (e13)) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e12)) = (e11))) -> ((op1 (e10) (e12)) = (e10)) -> ((op1 (e12) (e10)) = (e10)) -> ((op1 (e11) (op1 (e11) (e10))) = (e10)) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op2 (e22) (e22)) = (e22))) -> (~((op2 (e22) (e22)) = (e21))) -> ((op2 (e22) (e20)) = (e20)) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> ((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13)))) -> False).
% 54.96/55.15 do 0 intro. intros zenon_H224 zenon_H100 zenon_H474 zenon_H313 zenon_H1b1 zenon_H18a zenon_H2b1 zenon_H2a6 zenon_H2a5 zenon_H2a3 zenon_H1d8 zenon_H206 zenon_H17 zenon_H301 zenon_H2f8 zenon_H1fd zenon_H360 zenon_H316 zenon_H19d zenon_H1be zenon_H14b zenon_H1a9 zenon_H15f zenon_H473 zenon_H154 zenon_H155 zenon_H15 zenon_H13 zenon_H2c9 zenon_H18e zenon_H3b zenon_H44f zenon_H3f zenon_H461 zenon_H4f4 zenon_H358 zenon_H1e zenon_H209 zenon_H15a zenon_H2e7 zenon_H2b9 zenon_H236 zenon_H2ad zenon_H30e zenon_H375 zenon_H1ed zenon_H32e zenon_H29e zenon_H2c0 zenon_H2c2 zenon_H21a zenon_H186 zenon_H180 zenon_H179 zenon_H172 zenon_H204 zenon_H23b zenon_H1da zenon_H1cc zenon_H23f zenon_H18f zenon_H293 zenon_H292 zenon_H1de zenon_H1fa zenon_H25 zenon_H1a0 zenon_Hd7 zenon_H101 zenon_H121 zenon_H37d zenon_H22c.
% 54.96/55.15 apply (zenon_or_s _ _ zenon_H224); [ zenon_intro zenon_H1d1 | zenon_intro zenon_H1d1 ].
% 54.96/55.15 apply (zenon_L780_); trivial.
% 54.96/55.15 apply (zenon_L780_); trivial.
% 54.96/55.15 (* end of lemma zenon_L781_ *)
% 54.96/55.15 assert (zenon_L782_ : (((op1 (e10) (e12)) = (e10))/\(((op1 (e12) (e10)) = (e10))/\(((~((op1 (e12) (e10)) = (e12)))\/(~((op1 (e12) (e12)) = (e10))))/\(((~((op1 (e12) (e11)) = (e12)))\/(~((op1 (e12) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13))))))))) -> (((op2 (e22) (e22)) = (e20))\/(((op2 (e22) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e22)) = (e23))))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> ((op1 (e11) (op1 (e11) (e11))) = (e11)) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e11)) = (e12))\/((op1 (e10) (e11)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e12))\/((op1 (e11) (e10)) = (e13))))) -> (~((op1 (e11) (e11)) = (e11))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> ((e12) = (op1 (op1 (op1 (e11) (e11)) (op1 (e11) (e11))) (op1 (e11) (e11)))) -> ((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) -> ((e10) = (op1 (e11) (e11))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> ((e23) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((h2 (e12)) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> ((e22) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> ((h2 (e13)) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> (~((h2 (op1 (e12) (e12))) = (op2 (h2 (e12)) (h2 (e12))))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((e12) = (e13))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> ((op1 (e11) (op1 (e11) (e12))) = (e12)) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> ((op1 (e11) (op1 (e11) (e13))) = (e13)) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e12)) = (e11))) -> ((op1 (e11) (op1 (e11) (e10))) = (e10)) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op2 (e22) (e22)) = (e22))) -> (~((op2 (e22) (e22)) = (e21))) -> ((op2 (e22) (e20)) = (e20)) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> False).
% 54.96/55.15 do 0 intro. intros zenon_H197 zenon_H100 zenon_H474 zenon_H313 zenon_H1b1 zenon_H18a zenon_H2b1 zenon_H2a6 zenon_H2a5 zenon_H2a3 zenon_H1d8 zenon_H206 zenon_H17 zenon_H301 zenon_H2f8 zenon_H1fd zenon_H360 zenon_H316 zenon_H19d zenon_H1be zenon_H14b zenon_H1a9 zenon_H15f zenon_H473 zenon_H154 zenon_H155 zenon_H15 zenon_H13 zenon_H2c9 zenon_H18e zenon_H3b zenon_H44f zenon_H3f zenon_H461 zenon_H4f4 zenon_H358 zenon_H1e zenon_H209 zenon_H15a zenon_H2e7 zenon_H2b9 zenon_H236 zenon_H2ad zenon_H30e zenon_H375 zenon_H1ed zenon_H32e zenon_H29e zenon_H2c0 zenon_H2c2 zenon_H21a zenon_H186 zenon_H180 zenon_H179 zenon_H172 zenon_H204 zenon_H23b zenon_H1da zenon_H1cc zenon_H23f zenon_H292 zenon_H1de zenon_H1fa zenon_H25 zenon_H1a0 zenon_Hd7 zenon_H101 zenon_H121 zenon_H37d.
% 54.96/55.15 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_H18f. zenon_intro zenon_H198.
% 54.96/55.15 apply (zenon_and_s _ _ zenon_H198). zenon_intro zenon_H293. zenon_intro zenon_H227.
% 54.96/55.15 apply (zenon_and_s _ _ zenon_H227). zenon_intro zenon_H229. zenon_intro zenon_H228.
% 54.96/55.15 apply (zenon_and_s _ _ zenon_H228). zenon_intro zenon_H22b. zenon_intro zenon_H22a.
% 54.96/55.15 apply (zenon_and_s _ _ zenon_H22a). zenon_intro zenon_H224. zenon_intro zenon_H22c.
% 54.96/55.15 apply (zenon_L781_); trivial.
% 54.96/55.15 (* end of lemma zenon_L782_ *)
% 54.96/55.15 assert (zenon_L783_ : (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> ((op1 (e10) (e13)) = (e12)) -> ((op1 (e11) (op1 (e11) (e12))) = (e12)) -> ((e22) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> ((h2 (e12)) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> ((e23) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((op2 (e22) (e22)) = (e23)) -> ((h2 (e13)) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> (~((h2 (op1 (e12) (e12))) = (op2 (h2 (e12)) (h2 (e12))))) -> ((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) -> ((op1 (e11) (e11)) = (e12)) -> ((e10) = (op1 (e11) (e11))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> False).
% 54.96/55.15 do 0 intro. intros zenon_H2c9 zenon_H1e zenon_H30e zenon_H31b zenon_H375 zenon_H3f zenon_H44f zenon_H3b zenon_Hf6 zenon_H461 zenon_H4f4 zenon_H15 zenon_H1b8 zenon_H13 zenon_H18e.
% 54.96/55.15 apply (zenon_or_s _ _ zenon_H2c9); [ zenon_intro zenon_H1d | zenon_intro zenon_H2ca ].
% 54.96/55.15 apply (zenon_L3_); trivial.
% 54.96/55.15 apply (zenon_or_s _ _ zenon_H2ca); [ zenon_intro zenon_H1f3 | zenon_intro zenon_H2cb ].
% 54.96/55.15 apply (zenon_L496_); trivial.
% 54.96/55.15 apply (zenon_or_s _ _ zenon_H2cb); [ zenon_intro zenon_H1d3 | zenon_intro zenon_H1ba ].
% 54.96/55.15 apply (zenon_L772_); trivial.
% 54.96/55.15 apply (zenon_L86_); trivial.
% 54.96/55.15 (* end of lemma zenon_L783_ *)
% 54.96/55.15 assert (zenon_L784_ : (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (~((e12) = (e13))) -> ((op1 (e12) (e11)) = (e13)) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> ((e12) = (op1 (op1 (op1 (e11) (e11)) (op1 (e11) (e11))) (op1 (e11) (e11)))) -> ((op1 (e10) (e13)) = (e12)) -> ((e10) = (op1 (e11) (e11))) -> ((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) -> ((op1 (e11) (e12)) = (e12)) -> ((op1 (e13) (e10)) = (e12)) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> False).
% 54.96/55.15 do 0 intro. intros zenon_H23b zenon_H21a zenon_H236 zenon_H2e3 zenon_H1cc zenon_H155 zenon_H31b zenon_H13 zenon_H15 zenon_H1c6 zenon_H16b zenon_H2b9.
% 54.96/55.15 apply (zenon_or_s _ _ zenon_H23b); [ zenon_intro zenon_H21b | zenon_intro zenon_H23d ].
% 54.96/55.15 apply (zenon_L109_); trivial.
% 54.96/55.15 apply (zenon_or_s _ _ zenon_H23d); [ zenon_intro zenon_H202 | zenon_intro zenon_H23e ].
% 54.96/55.15 apply (zenon_L482_); trivial.
% 54.96/55.15 apply (zenon_or_s _ _ zenon_H23e); [ zenon_intro zenon_H1cb | zenon_intro zenon_H22f ].
% 54.96/55.15 apply (zenon_L89_); trivial.
% 54.96/55.15 apply (zenon_L634_); trivial.
% 54.96/55.15 (* end of lemma zenon_L784_ *)
% 54.96/55.15 assert (zenon_L785_ : (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> ((op1 (e13) (e10)) = (e12)) -> ((op1 (e11) (e12)) = (e12)) -> ((op1 (e10) (e13)) = (e12)) -> ((e12) = (op1 (op1 (op1 (e11) (e11)) (op1 (e11) (e11))) (op1 (e11) (e11)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((e12) = (e13))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> ((e22) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> ((h2 (e12)) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> ((e23) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((op2 (e22) (e22)) = (e23)) -> ((h2 (e13)) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> (~((h2 (op1 (e12) (e12))) = (op2 (h2 (e12)) (h2 (e12))))) -> ((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) -> ((op1 (e11) (e11)) = (e13)) -> ((e10) = (op1 (e11) (e11))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> False).
% 54.96/55.16 do 0 intro. intros zenon_H2e7 zenon_H2ad zenon_H16b zenon_H1c6 zenon_H31b zenon_H155 zenon_H1cc zenon_H236 zenon_H21a zenon_H23b zenon_H3f zenon_H44f zenon_H3b zenon_Hf6 zenon_H461 zenon_H4f4 zenon_H15 zenon_H2b7 zenon_H13 zenon_H2b9.
% 54.96/55.16 apply (zenon_or_s _ _ zenon_H2e7); [ zenon_intro zenon_H2ac | zenon_intro zenon_H2e8 ].
% 54.96/55.16 apply (zenon_L154_); trivial.
% 54.96/55.16 apply (zenon_or_s _ _ zenon_H2e8); [ zenon_intro zenon_H2e3 | zenon_intro zenon_H2e9 ].
% 54.96/55.16 apply (zenon_L784_); trivial.
% 54.96/55.16 apply (zenon_or_s _ _ zenon_H2e9); [ zenon_intro zenon_H1d3 | zenon_intro zenon_H235 ].
% 54.96/55.16 apply (zenon_L772_); trivial.
% 54.96/55.16 apply (zenon_L163_); trivial.
% 54.96/55.16 (* end of lemma zenon_L785_ *)
% 54.96/55.16 assert (zenon_L786_ : (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> ((e12) = (op1 (op1 (op1 (e11) (e11)) (op1 (e11) (e11))) (op1 (e11) (e11)))) -> ((op1 (e11) (e12)) = (e12)) -> ((op1 (e13) (e10)) = (e12)) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> ((op1 (e10) (e13)) = (e12)) -> ((op1 (e11) (op1 (e11) (e12))) = (e12)) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> ((e10) = (op1 (e11) (e11))) -> ((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) -> (~((e12) = (e13))) -> ((op1 (e12) (e11)) = (e12)) -> ((e22) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> ((h2 (e12)) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> ((e23) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((op2 (e22) (e22)) = (e23)) -> ((h2 (e13)) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> (~((h2 (op1 (e12) (e12))) = (op2 (h2 (e12)) (h2 (e12))))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> ((op1 (e11) (op1 (e11) (e13))) = (e13)) -> False).
% 54.96/55.16 do 0 intro. intros zenon_H2c2 zenon_H15a zenon_H2b9 zenon_H23b zenon_H21a zenon_H1cc zenon_H155 zenon_H1c6 zenon_H16b zenon_H30e zenon_H31b zenon_H375 zenon_H2e7 zenon_H2ad zenon_H13 zenon_H15 zenon_H236 zenon_H202 zenon_H3f zenon_H44f zenon_H3b zenon_Hf6 zenon_H461 zenon_H4f4 zenon_H2c0 zenon_H29e.
% 54.96/55.16 apply (zenon_or_s _ _ zenon_H2c2); [ zenon_intro zenon_H159 | zenon_intro zenon_H2c3 ].
% 54.96/55.16 apply (zenon_L64_); trivial.
% 54.96/55.16 apply (zenon_or_s _ _ zenon_H2c3); [ zenon_intro zenon_H2b7 | zenon_intro zenon_H2c4 ].
% 54.96/55.16 apply (zenon_L785_); trivial.
% 54.96/55.16 apply (zenon_or_s _ _ zenon_H2c4); [ zenon_intro zenon_H1f3 | zenon_intro zenon_H234 ].
% 54.96/55.16 apply (zenon_L496_); trivial.
% 54.96/55.16 apply (zenon_L775_); trivial.
% 54.96/55.16 (* end of lemma zenon_L786_ *)
% 54.96/55.16 assert (zenon_L787_ : (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> ((op1 (e10) (e11)) = (e11)) -> (~((op1 (e10) (e13)) = (e10))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e10)) = (e12))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e13) (e10)) = (e12))))) -> (~((op1 (e10) (e10)) = (e12))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> ((e12) = (op1 (op1 (op1 (e11) (e11)) (op1 (e11) (e11))) (op1 (e11) (e11)))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((e12) = (e13))) -> ((e22) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> ((h2 (e12)) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> ((e23) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((op2 (e22) (e22)) = (e23)) -> ((h2 (e13)) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> (~((h2 (op1 (e12) (e12))) = (op2 (h2 (e12)) (h2 (e12))))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (((op1 (e11) (e10)) = (e11))/\(((op1 (e10) (e11)) = (e11))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11))))/\(((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12))))/\((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13))))))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> ((e10) = (op1 (e11) (e11))) -> ((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> ((op1 (e11) (op1 (e11) (e12))) = (e12)) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e11) (op1 (e11) (e13))) = (e13)) -> False).
% 54.96/55.16 do 0 intro. intros zenon_H4c2 zenon_H25 zenon_H485 zenon_H1fe zenon_H25f zenon_H328 zenon_H186 zenon_H179 zenon_H180 zenon_H4c3 zenon_H4c4 zenon_H1fa zenon_H154 zenon_H18e zenon_H172 zenon_H155 zenon_H2c2 zenon_H15a zenon_H2b9 zenon_H23b zenon_H21a zenon_H2e7 zenon_H2ad zenon_H236 zenon_H3f zenon_H44f zenon_H3b zenon_Hf6 zenon_H461 zenon_H4f4 zenon_H2c0 zenon_H358 zenon_H259 zenon_H1a9 zenon_H1e8 zenon_H1f7 zenon_H204 zenon_H209 zenon_H2c9 zenon_H1e zenon_H13 zenon_H15 zenon_H30e zenon_H375 zenon_H1cc zenon_H1f4 zenon_H29e.
% 54.96/55.16 apply (zenon_or_s _ _ zenon_H4c2); [ zenon_intro zenon_H4c6 | zenon_intro zenon_H4c5 ].
% 54.96/55.16 exact (zenon_H4c4 zenon_H4c6).
% 54.96/55.16 apply (zenon_or_s _ _ zenon_H4c5); [ zenon_intro zenon_H1dc | zenon_intro zenon_H4c7 ].
% 54.96/55.16 apply (zenon_or_s _ _ zenon_H4c3); [ zenon_intro zenon_H4c6 | zenon_intro zenon_H4c8 ].
% 54.96/55.16 exact (zenon_H4c4 zenon_H4c6).
% 54.96/55.16 apply (zenon_or_s _ _ zenon_H4c8); [ zenon_intro zenon_H156 | zenon_intro zenon_H4c9 ].
% 54.96/55.16 apply (zenon_L63_); trivial.
% 54.96/55.16 apply (zenon_or_s _ _ zenon_H4c9); [ zenon_intro zenon_H21b | zenon_intro zenon_H16b ].
% 54.96/55.16 apply (zenon_L109_); trivial.
% 54.96/55.16 apply (zenon_or_s _ _ zenon_H1fa); [ zenon_intro zenon_H156 | zenon_intro zenon_H1fb ].
% 54.96/55.16 apply (zenon_L63_); trivial.
% 54.96/55.16 apply (zenon_or_s _ _ zenon_H1fb); [ zenon_intro zenon_H1b8 | zenon_intro zenon_H1fc ].
% 54.96/55.16 apply (zenon_L773_); trivial.
% 54.96/55.16 apply (zenon_or_s _ _ zenon_H1fc); [ zenon_intro zenon_H1c6 | zenon_intro zenon_H1ec ].
% 54.96/55.16 apply (zenon_L636_); trivial.
% 54.96/55.16 apply (zenon_L638_); trivial.
% 54.96/55.16 apply (zenon_or_s _ _ zenon_H4c7); [ zenon_intro zenon_H4bf | zenon_intro zenon_H31b ].
% 54.96/55.16 apply (zenon_or_s _ _ zenon_H1fa); [ zenon_intro zenon_H156 | zenon_intro zenon_H1fb ].
% 54.96/55.16 apply (zenon_L63_); trivial.
% 54.96/55.16 apply (zenon_or_s _ _ zenon_H1fb); [ zenon_intro zenon_H1b8 | zenon_intro zenon_H1fc ].
% 54.96/55.16 apply (zenon_L773_); trivial.
% 54.96/55.16 apply (zenon_or_s _ _ zenon_H1fc); [ zenon_intro zenon_H1c6 | zenon_intro zenon_H1ec ].
% 54.96/55.16 apply (zenon_L640_); trivial.
% 54.96/55.16 apply (zenon_L638_); trivial.
% 54.96/55.16 apply (zenon_or_s _ _ zenon_H4c3); [ zenon_intro zenon_H4c6 | zenon_intro zenon_H4c8 ].
% 54.96/55.16 exact (zenon_H4c4 zenon_H4c6).
% 54.96/55.16 apply (zenon_or_s _ _ zenon_H4c8); [ zenon_intro zenon_H156 | zenon_intro zenon_H4c9 ].
% 54.96/55.16 apply (zenon_L63_); trivial.
% 54.96/55.16 apply (zenon_or_s _ _ zenon_H4c9); [ zenon_intro zenon_H21b | zenon_intro zenon_H16b ].
% 54.96/55.16 apply (zenon_L109_); trivial.
% 54.96/55.16 apply (zenon_or_s _ _ zenon_H1fa); [ zenon_intro zenon_H156 | zenon_intro zenon_H1fb ].
% 54.96/55.16 apply (zenon_L63_); trivial.
% 54.96/55.16 apply (zenon_or_s _ _ zenon_H1fb); [ zenon_intro zenon_H1b8 | zenon_intro zenon_H1fc ].
% 54.96/55.16 apply (zenon_L783_); trivial.
% 54.96/55.16 apply (zenon_or_s _ _ zenon_H1fc); [ zenon_intro zenon_H1c6 | zenon_intro zenon_H1ec ].
% 54.96/55.16 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H1dc | zenon_intro zenon_H20a ].
% 54.96/55.16 apply (zenon_L635_); trivial.
% 54.96/55.16 apply (zenon_or_s _ _ zenon_H20a); [ zenon_intro zenon_H1b8 | zenon_intro zenon_H20b ].
% 54.96/55.16 apply (zenon_or_s _ _ zenon_H2c2); [ zenon_intro zenon_H159 | zenon_intro zenon_H2c3 ].
% 54.96/55.16 apply (zenon_L64_); trivial.
% 54.96/55.16 apply (zenon_or_s _ _ zenon_H2c3); [ zenon_intro zenon_H2b7 | zenon_intro zenon_H2c4 ].
% 54.96/55.16 apply (zenon_L785_); trivial.
% 54.96/55.16 apply (zenon_or_s _ _ zenon_H2c4); [ zenon_intro zenon_H1f3 | zenon_intro zenon_H234 ].
% 54.96/55.16 apply (zenon_L289_); trivial.
% 54.96/55.16 apply (zenon_or_s _ _ zenon_H23b); [ zenon_intro zenon_H21b | zenon_intro zenon_H23d ].
% 54.96/55.16 apply (zenon_L109_); trivial.
% 54.96/55.16 apply (zenon_or_s _ _ zenon_H23d); [ zenon_intro zenon_H202 | zenon_intro zenon_H23e ].
% 54.96/55.16 apply (zenon_L775_); trivial.
% 54.96/55.16 apply (zenon_or_s _ _ zenon_H23e); [ zenon_intro zenon_H1cb | zenon_intro zenon_H22f ].
% 54.96/55.16 apply (zenon_L747_); trivial.
% 54.96/55.16 apply (zenon_L634_); trivial.
% 54.96/55.16 apply (zenon_or_s _ _ zenon_H20b); [ zenon_intro zenon_H202 | zenon_intro zenon_H171 ].
% 54.96/55.16 apply (zenon_L786_); trivial.
% 54.96/55.16 apply (zenon_L69_); trivial.
% 54.96/55.16 apply (zenon_L637_); trivial.
% 54.96/55.16 (* end of lemma zenon_L787_ *)
% 54.96/55.16 assert (zenon_L788_ : ((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12)))) -> (((op2 (e22) (e22)) = (e20))\/(((op2 (e22) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e22)) = (e23))))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e10)) = (e12))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e13) (e10)) = (e12))))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> ((e23) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((h2 (e12)) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> ((e22) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> ((h2 (e13)) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> (~((h2 (op1 (e12) (e12))) = (op2 (h2 (e12)) (h2 (e12))))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> ((op1 (e10) (e11)) = (e11)) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> ((op1 (e11) (op1 (e11) (e12))) = (e12)) -> ((op1 (e11) (op1 (e11) (e13))) = (e13)) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> ((e12) = (op1 (op1 (op1 (e11) (e11)) (op1 (e11) (e11))) (op1 (e11) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((e12) = (e13))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (((op1 (e11) (e10)) = (e11))/\(((op1 (e10) (e11)) = (e11))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11))))/\(((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12))))/\((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13))))))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> (~((op2 (e22) (e22)) = (e22))) -> (~((op2 (e22) (e22)) = (e21))) -> ((op2 (e22) (e20)) = (e20)) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> ((e10) = (op1 (e11) (e11))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (~((op1 (e10) (e10)) = (e10))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> ((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> ((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))) -> False).
% 54.96/55.16 do 0 intro. intros zenon_H25e zenon_H100 zenon_H4c3 zenon_H2c9 zenon_H18e zenon_H3b zenon_H44f zenon_H3f zenon_H461 zenon_H4f4 zenon_H358 zenon_H328 zenon_H204 zenon_H1cc zenon_H2b9 zenon_H23b zenon_H1fe zenon_H485 zenon_H30e zenon_H375 zenon_H29e zenon_H1f4 zenon_H1fa zenon_H21a zenon_H155 zenon_H154 zenon_H172 zenon_H179 zenon_H180 zenon_H186 zenon_H209 zenon_H15a zenon_H2e7 zenon_H236 zenon_H2ad zenon_H1e8 zenon_H259 zenon_H1a9 zenon_H1f7 zenon_H2c0 zenon_H2c2 zenon_H4c2 zenon_Hd7 zenon_H101 zenon_H121 zenon_H37d zenon_H246 zenon_H13 zenon_H19d zenon_H146 zenon_H1a0 zenon_H25 zenon_H1e zenon_H15 zenon_H17 zenon_H25d.
% 54.96/55.16 apply (zenon_or_s _ _ zenon_H25e); [ zenon_intro zenon_H458 | zenon_intro zenon_H4c4 ].
% 54.96/55.16 apply (zenon_L629_); trivial.
% 54.96/55.16 apply (zenon_or_s _ _ zenon_H25d); [ zenon_intro zenon_H25f | zenon_intro zenon_H1a1 ].
% 54.96/55.16 apply (zenon_or_s _ _ zenon_H100); [ zenon_intro zenon_H88 | zenon_intro zenon_H102 ].
% 54.96/55.16 apply (zenon_L309_); trivial.
% 54.96/55.16 apply (zenon_or_s _ _ zenon_H102); [ zenon_intro zenon_H104 | zenon_intro zenon_H103 ].
% 54.96/55.16 exact (zenon_H101 zenon_H104).
% 54.96/55.16 apply (zenon_or_s _ _ zenon_H103); [ zenon_intro zenon_Hd6 | zenon_intro zenon_Hf6 ].
% 54.96/55.16 exact (zenon_Hd7 zenon_Hd6).
% 54.96/55.16 apply (zenon_L787_); trivial.
% 54.96/55.16 apply (zenon_L79_); trivial.
% 54.96/55.16 (* end of lemma zenon_L788_ *)
% 54.96/55.16 assert (zenon_L789_ : (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> ((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> ((e10) = (op1 (e11) (e11))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> ((op2 (e22) (e20)) = (e20)) -> (~((op2 (e22) (e22)) = (e21))) -> (~((op2 (e22) (e22)) = (e22))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (((op1 (e11) (e10)) = (e11))/\(((op1 (e10) (e11)) = (e11))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11))))/\(((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12))))/\((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13))))))))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((e12) = (e13))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> ((e12) = (op1 (op1 (op1 (e11) (e11)) (op1 (e11) (e11))) (op1 (e11) (e11)))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e11) (op1 (e11) (e13))) = (e13)) -> ((op1 (e11) (op1 (e11) (e12))) = (e12)) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((h2 (op1 (e12) (e12))) = (op2 (h2 (e12)) (h2 (e12))))) -> ((h2 (e13)) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((e22) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> ((h2 (e12)) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> ((e23) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e10)) = (e12))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e13) (e10)) = (e12))))) -> (((op2 (e22) (e22)) = (e20))\/(((op2 (e22) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e22)) = (e23))))) -> False).
% 54.96/55.16 do 0 intro. intros zenon_H17 zenon_H15 zenon_H1e zenon_H25 zenon_H1a0 zenon_H19d zenon_H13 zenon_H246 zenon_H37d zenon_H121 zenon_H101 zenon_Hd7 zenon_H4c2 zenon_H2c2 zenon_H2c0 zenon_H1f7 zenon_H1a9 zenon_H259 zenon_H1e8 zenon_H2ad zenon_H236 zenon_H2e7 zenon_H15a zenon_H209 zenon_H186 zenon_H180 zenon_H179 zenon_H172 zenon_H154 zenon_H155 zenon_H21a zenon_H1fa zenon_H1f4 zenon_H29e zenon_H375 zenon_H30e zenon_H485 zenon_H23b zenon_H2b9 zenon_H1cc zenon_H204 zenon_H328 zenon_H358 zenon_H4f4 zenon_H461 zenon_H3f zenon_H44f zenon_H3b zenon_H18e zenon_H2c9 zenon_H4c3 zenon_H100.
% 54.96/55.16 apply (zenon_and_s _ _ zenon_H259). zenon_intro zenon_H163. zenon_intro zenon_H25a.
% 54.96/55.16 apply (zenon_and_s _ _ zenon_H25a). zenon_intro zenon_H1fe. zenon_intro zenon_H149.
% 54.96/55.16 apply (zenon_and_s _ _ zenon_H149). zenon_intro zenon_H144. zenon_intro zenon_H14a.
% 54.96/55.16 apply (zenon_and_s _ _ zenon_H14a). zenon_intro zenon_H25c. zenon_intro zenon_H25b.
% 54.96/55.16 apply (zenon_and_s _ _ zenon_H25b). zenon_intro zenon_H25e. zenon_intro zenon_H25d.
% 54.96/55.16 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_H146 | zenon_intro zenon_H146 ].
% 54.96/55.16 apply (zenon_L788_); trivial.
% 54.96/55.16 apply (zenon_L788_); trivial.
% 54.96/55.16 (* end of lemma zenon_L789_ *)
% 54.96/55.16 assert (zenon_L790_ : (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> ((op1 (e11) (e11)) = (e12)) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> ((e10) = (op1 (e11) (e11))) -> ((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) -> (~((e12) = (e13))) -> ((op1 (e12) (e11)) = (e12)) -> ((e22) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> ((h2 (e12)) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> ((e23) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((op2 (e22) (e22)) = (e23)) -> ((h2 (e13)) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> (~((h2 (op1 (e12) (e12))) = (op2 (h2 (e12)) (h2 (e12))))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> ((op1 (e11) (op1 (e11) (e13))) = (e13)) -> False).
% 54.96/55.16 do 0 intro. intros zenon_H2c2 zenon_H15a zenon_H2b9 zenon_H358 zenon_H1b8 zenon_H2e7 zenon_H2ad zenon_H13 zenon_H15 zenon_H236 zenon_H202 zenon_H3f zenon_H44f zenon_H3b zenon_Hf6 zenon_H461 zenon_H4f4 zenon_H2c0 zenon_H29e.
% 54.96/55.16 apply (zenon_or_s _ _ zenon_H2c2); [ zenon_intro zenon_H159 | zenon_intro zenon_H2c3 ].
% 54.96/55.16 apply (zenon_L64_); trivial.
% 54.96/55.16 apply (zenon_or_s _ _ zenon_H2c3); [ zenon_intro zenon_H2b7 | zenon_intro zenon_H2c4 ].
% 54.96/55.16 apply (zenon_L774_); trivial.
% 54.96/55.16 apply (zenon_or_s _ _ zenon_H2c4); [ zenon_intro zenon_H1f3 | zenon_intro zenon_H234 ].
% 54.96/55.16 apply (zenon_L289_); trivial.
% 54.96/55.16 apply (zenon_L775_); trivial.
% 54.96/55.16 (* end of lemma zenon_L790_ *)
% 54.96/55.16 assert (zenon_L791_ : (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (~((h2 (op1 (e12) (e12))) = (op2 (h2 (e12)) (h2 (e12))))) -> ((h2 (e13)) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((op2 (e22) (e22)) = (e23)) -> ((e23) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((h2 (e12)) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> ((e22) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> ((op1 (e12) (e11)) = (e12)) -> (~((e12) = (e13))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> ((op1 (e13) (e10)) = (e12)) -> ((e12) = (op1 (op1 (op1 (e11) (e11)) (op1 (e11) (e11))) (op1 (e11) (e11)))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> ((e10) = (op1 (e11) (e11))) -> ((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> ((op1 (e10) (e13)) = (e12)) -> ((op1 (e11) (op1 (e11) (e12))) = (e12)) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e11) (op1 (e11) (e13))) = (e13)) -> False).
% 54.96/55.16 do 0 intro. intros zenon_H1fa zenon_H154 zenon_H358 zenon_H2c0 zenon_H4f4 zenon_H461 zenon_Hf6 zenon_H3b zenon_H44f zenon_H3f zenon_H202 zenon_H236 zenon_H2ad zenon_H2e7 zenon_H16b zenon_H155 zenon_H21a zenon_H23b zenon_H2b9 zenon_H15a zenon_H2c2 zenon_H2c9 zenon_H1e zenon_H13 zenon_H15 zenon_H30e zenon_H31b zenon_H375 zenon_H1cc zenon_H1f4 zenon_H29e.
% 54.96/55.16 apply (zenon_or_s _ _ zenon_H1fa); [ zenon_intro zenon_H156 | zenon_intro zenon_H1fb ].
% 54.96/55.16 apply (zenon_L63_); trivial.
% 54.96/55.16 apply (zenon_or_s _ _ zenon_H1fb); [ zenon_intro zenon_H1b8 | zenon_intro zenon_H1fc ].
% 54.96/55.16 apply (zenon_L790_); trivial.
% 54.96/55.16 apply (zenon_or_s _ _ zenon_H1fc); [ zenon_intro zenon_H1c6 | zenon_intro zenon_H1ec ].
% 54.96/55.16 apply (zenon_L786_); trivial.
% 54.96/55.16 apply (zenon_L637_); trivial.
% 54.96/55.16 (* end of lemma zenon_L791_ *)
% 54.96/55.16 assert (zenon_L792_ : (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> ((op1 (e10) (e11)) = (e11)) -> (~((op1 (e10) (e13)) = (e10))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e10)) = (e12))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e13) (e10)) = (e12))))) -> (~((op1 (e10) (e10)) = (e12))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (~((h2 (op1 (e12) (e12))) = (op2 (h2 (e12)) (h2 (e12))))) -> ((h2 (e13)) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((op2 (e22) (e22)) = (e23)) -> ((e23) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((h2 (e12)) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> ((e22) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> ((op1 (e12) (e11)) = (e12)) -> (~((e12) = (e13))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> ((e12) = (op1 (op1 (op1 (e11) (e11)) (op1 (e11) (e11))) (op1 (e11) (e11)))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> ((e10) = (op1 (e11) (e11))) -> ((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> ((op1 (e11) (op1 (e11) (e12))) = (e12)) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e11) (op1 (e11) (e13))) = (e13)) -> False).
% 54.96/55.16 do 0 intro. intros zenon_H4c2 zenon_H204 zenon_H25 zenon_H485 zenon_H1fe zenon_H25f zenon_H328 zenon_H186 zenon_H172 zenon_H179 zenon_H180 zenon_H4c3 zenon_H4c4 zenon_H1fa zenon_H154 zenon_H358 zenon_H2c0 zenon_H4f4 zenon_H461 zenon_Hf6 zenon_H3b zenon_H44f zenon_H3f zenon_H202 zenon_H236 zenon_H2ad zenon_H2e7 zenon_H155 zenon_H21a zenon_H23b zenon_H2b9 zenon_H15a zenon_H2c2 zenon_H2c9 zenon_H1e zenon_H13 zenon_H15 zenon_H30e zenon_H375 zenon_H1cc zenon_H1f4 zenon_H29e.
% 54.96/55.16 apply (zenon_or_s _ _ zenon_H4c2); [ zenon_intro zenon_H4c6 | zenon_intro zenon_H4c5 ].
% 54.96/55.16 exact (zenon_H4c4 zenon_H4c6).
% 54.96/55.16 apply (zenon_or_s _ _ zenon_H4c5); [ zenon_intro zenon_H1dc | zenon_intro zenon_H4c7 ].
% 54.96/55.16 apply (zenon_L657_); trivial.
% 54.96/55.16 apply (zenon_or_s _ _ zenon_H4c7); [ zenon_intro zenon_H4bf | zenon_intro zenon_H31b ].
% 54.96/55.16 apply (zenon_or_s _ _ zenon_H1fa); [ zenon_intro zenon_H156 | zenon_intro zenon_H1fb ].
% 54.96/55.16 apply (zenon_L63_); trivial.
% 54.96/55.16 apply (zenon_or_s _ _ zenon_H1fb); [ zenon_intro zenon_H1b8 | zenon_intro zenon_H1fc ].
% 54.96/55.16 apply (zenon_L790_); trivial.
% 54.96/55.16 apply (zenon_or_s _ _ zenon_H1fc); [ zenon_intro zenon_H1c6 | zenon_intro zenon_H1ec ].
% 54.96/55.16 apply (zenon_L640_); trivial.
% 54.96/55.16 apply (zenon_L638_); trivial.
% 54.96/55.16 apply (zenon_or_s _ _ zenon_H4c3); [ zenon_intro zenon_H4c6 | zenon_intro zenon_H4c8 ].
% 54.96/55.16 exact (zenon_H4c4 zenon_H4c6).
% 54.96/55.16 apply (zenon_or_s _ _ zenon_H4c8); [ zenon_intro zenon_H156 | zenon_intro zenon_H4c9 ].
% 54.96/55.16 apply (zenon_L63_); trivial.
% 54.96/55.16 apply (zenon_or_s _ _ zenon_H4c9); [ zenon_intro zenon_H21b | zenon_intro zenon_H16b ].
% 54.96/55.16 apply (zenon_L109_); trivial.
% 54.96/55.16 apply (zenon_L791_); trivial.
% 54.96/55.16 (* end of lemma zenon_L792_ *)
% 54.96/55.16 assert (zenon_L793_ : ((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12)))) -> (((op2 (e22) (e22)) = (e20))\/(((op2 (e22) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e22)) = (e23))))) -> (((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)))) -> ((e12) = (op1 (op1 (op1 (e11) (e11)) (op1 (e11) (e11))) (op1 (e11) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> ((op1 (e10) (e11)) = (e11)) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> ((op1 (e11) (op1 (e11) (e12))) = (e12)) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> ((e23) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((h2 (e12)) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> ((e22) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> ((h2 (e13)) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> (~((h2 (op1 (e12) (e12))) = (op2 (h2 (e12)) (h2 (e12))))) -> (~((e12) = (e13))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> ((op1 (e11) (op1 (e11) (e13))) = (e13)) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (((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))))) -> (~((op2 (e22) (e22)) = (e22))) -> (~((op2 (e22) (e22)) = (e21))) -> ((op2 (e22) (e20)) = (e20)) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> ((e10) = (op1 (e11) (e11))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (~((op1 (e10) (e10)) = (e10))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> ((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> ((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))) -> False).
% 54.96/55.16 do 0 intro. intros zenon_H25e zenon_H100 zenon_H4c3 zenon_H202 zenon_H204 zenon_H21a zenon_H155 zenon_H154 zenon_H1fa zenon_H485 zenon_H1fe zenon_H2c9 zenon_H1f4 zenon_H1cc zenon_H375 zenon_H30e zenon_H328 zenon_H172 zenon_H179 zenon_H180 zenon_H186 zenon_H15a zenon_H2e7 zenon_H2b9 zenon_H3b zenon_H44f zenon_H3f zenon_H461 zenon_H4f4 zenon_H236 zenon_H2ad zenon_H358 zenon_H29e zenon_H2c0 zenon_H2c2 zenon_H23b zenon_H4c2 zenon_Hd7 zenon_H101 zenon_H121 zenon_H37d zenon_H246 zenon_H13 zenon_H19d zenon_H146 zenon_H1a0 zenon_H25 zenon_H1e zenon_H15 zenon_H17 zenon_H25d.
% 54.96/55.16 apply (zenon_or_s _ _ zenon_H25e); [ zenon_intro zenon_H458 | zenon_intro zenon_H4c4 ].
% 54.96/55.16 apply (zenon_L629_); trivial.
% 54.96/55.16 apply (zenon_or_s _ _ zenon_H25d); [ zenon_intro zenon_H25f | zenon_intro zenon_H1a1 ].
% 54.96/55.16 apply (zenon_or_s _ _ zenon_H100); [ zenon_intro zenon_H88 | zenon_intro zenon_H102 ].
% 54.96/55.16 apply (zenon_L309_); trivial.
% 54.96/55.16 apply (zenon_or_s _ _ zenon_H102); [ zenon_intro zenon_H104 | zenon_intro zenon_H103 ].
% 54.96/55.16 exact (zenon_H101 zenon_H104).
% 54.96/55.16 apply (zenon_or_s _ _ zenon_H103); [ zenon_intro zenon_Hd6 | zenon_intro zenon_Hf6 ].
% 54.96/55.16 exact (zenon_Hd7 zenon_Hd6).
% 54.96/55.16 apply (zenon_L792_); trivial.
% 54.96/55.16 apply (zenon_L79_); trivial.
% 54.96/55.16 (* end of lemma zenon_L793_ *)
% 54.96/55.16 assert (zenon_L794_ : (((op1 (e11) (e10)) = (e11))/\(((op1 (e10) (e11)) = (e11))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11))))/\(((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12))))/\((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13))))))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> ((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> ((e10) = (op1 (e11) (e11))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> ((op2 (e22) (e20)) = (e20)) -> (~((op2 (e22) (e22)) = (e21))) -> (~((op2 (e22) (e22)) = (e22))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> ((op1 (e11) (op1 (e11) (e13))) = (e13)) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((e12) = (e13))) -> (~((h2 (op1 (e12) (e12))) = (op2 (h2 (e12)) (h2 (e12))))) -> ((h2 (e13)) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((e22) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> ((h2 (e12)) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> ((e23) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> ((op1 (e11) (op1 (e11) (e12))) = (e12)) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (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 (op1 (op1 (e11) (e11)) (op1 (e11) (e11))) (op1 (e11) (e11)))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> ((op1 (e12) (e11)) = (e12)) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e10)) = (e12))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e13) (e10)) = (e12))))) -> (((op2 (e22) (e22)) = (e20))\/(((op2 (e22) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e22)) = (e23))))) -> False).
% 54.96/55.16 do 0 intro. intros zenon_H259 zenon_H17 zenon_H15 zenon_H1e zenon_H25 zenon_H1a0 zenon_H19d zenon_H13 zenon_H246 zenon_H37d zenon_H121 zenon_H101 zenon_Hd7 zenon_H4c2 zenon_H23b zenon_H2c2 zenon_H2c0 zenon_H29e zenon_H358 zenon_H2ad zenon_H236 zenon_H4f4 zenon_H461 zenon_H3f zenon_H44f zenon_H3b zenon_H2b9 zenon_H2e7 zenon_H15a zenon_H186 zenon_H180 zenon_H179 zenon_H172 zenon_H328 zenon_H30e zenon_H375 zenon_H1cc zenon_H1f4 zenon_H2c9 zenon_H485 zenon_H1fa zenon_H154 zenon_H155 zenon_H21a zenon_H204 zenon_H202 zenon_H4c3 zenon_H100.
% 54.96/55.16 apply (zenon_and_s _ _ zenon_H259). zenon_intro zenon_H163. zenon_intro zenon_H25a.
% 54.96/55.16 apply (zenon_and_s _ _ zenon_H25a). zenon_intro zenon_H1fe. zenon_intro zenon_H149.
% 54.96/55.16 apply (zenon_and_s _ _ zenon_H149). zenon_intro zenon_H144. zenon_intro zenon_H14a.
% 54.96/55.16 apply (zenon_and_s _ _ zenon_H14a). zenon_intro zenon_H25c. zenon_intro zenon_H25b.
% 54.96/55.16 apply (zenon_and_s _ _ zenon_H25b). zenon_intro zenon_H25e. zenon_intro zenon_H25d.
% 54.96/55.16 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_H146 | zenon_intro zenon_H146 ].
% 54.96/55.16 apply (zenon_L793_); trivial.
% 54.96/55.16 apply (zenon_L793_); trivial.
% 54.96/55.16 (* end of lemma zenon_L794_ *)
% 54.96/55.16 assert (zenon_L795_ : ((((op1 (e10) (op1 (e10) (e10))) = (e10))/\(((op1 (e10) (op1 (e10) (e11))) = (e11))/\(((op1 (e10) (op1 (e10) (e12))) = (e12))/\(((op1 (e10) (op1 (e10) (e13))) = (e13))/\(((~((op1 (e10) (e10)) = (e10)))\/((op1 (e10) (e10)) = (e10)))/\(((~((op1 (e11) (e11)) = (e10)))\/((op1 (e11) (e10)) = (e11)))/\(((~((op1 (e12) (e12)) = (e10)))\/((op1 (e12) (e10)) = (e12)))/\((~((op1 (e13) (e13)) = (e10)))\/((op1 (e13) (e10)) = (e13))))))))))\/((((op1 (e11) (op1 (e11) (e10))) = (e10))/\(((op1 (e11) (op1 (e11) (e11))) = (e11))/\(((op1 (e11) (op1 (e11) (e12))) = (e12))/\(((op1 (e11) (op1 (e11) (e13))) = (e13))/\(((~((op1 (e10) (e10)) = (e11)))\/((op1 (e10) (e11)) = (e10)))/\(((~((op1 (e11) (e11)) = (e11)))\/((op1 (e11) (e11)) = (e11)))/\(((~((op1 (e12) (e12)) = (e11)))\/((op1 (e12) (e11)) = (e12)))/\((~((op1 (e13) (e13)) = (e11)))\/((op1 (e13) (e11)) = (e13))))))))))\/((((op1 (e12) (op1 (e12) (e10))) = (e10))/\(((op1 (e12) (op1 (e12) (e11))) = (e11))/\(((op1 (e12) (op1 (e12) (e12))) = (e12))/\(((op1 (e12) (op1 (e12) (e13))) = (e13))/\(((~((op1 (e10) (e10)) = (e12)))\/((op1 (e10) (e12)) = (e10)))/\(((~((op1 (e11) (e11)) = (e12)))\/((op1 (e11) (e12)) = (e11)))/\(((~((op1 (e12) (e12)) = (e12)))\/((op1 (e12) (e12)) = (e12)))/\((~((op1 (e13) (e13)) = (e12)))\/((op1 (e13) (e12)) = (e13))))))))))\/(((op1 (e13) (op1 (e13) (e10))) = (e10))/\(((op1 (e13) (op1 (e13) (e11))) = (e11))/\(((op1 (e13) (op1 (e13) (e12))) = (e12))/\(((op1 (e13) (op1 (e13) (e13))) = (e13))/\(((~((op1 (e10) (e10)) = (e13)))\/((op1 (e10) (e13)) = (e10)))/\(((~((op1 (e11) (e11)) = (e13)))\/((op1 (e11) (e13)) = (e11)))/\(((~((op1 (e12) (e12)) = (e13)))\/((op1 (e12) (e13)) = (e12)))/\((~((op1 (e13) (e13)) = (e13)))\/((op1 (e13) (e13)) = (e13))))))))))))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e10)) = (e12))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e13) (e10)) = (e12))))) -> (~((e10) = (e12))) -> (((op2 (e22) (e22)) = (e20))\/(((op2 (e22) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e22)) = (e23))))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> ((e23) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((h2 (e12)) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> ((e22) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> ((h2 (e13)) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> (~((h2 (op1 (e12) (e12))) = (op2 (h2 (e12)) (h2 (e12))))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op2 (e22) (e22)) = (e22))) -> (~((op2 (e22) (e22)) = (e21))) -> ((op2 (e22) (e20)) = (e20)) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (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)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (((op1 (e10) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e12) (e11)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((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 (e11) (e11)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e12) (e13)) = (e10))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> ((((op1 (e10) (e10)) = (e10))/\(((op1 (e10) (e10)) = (e10))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11))))/\(((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12))))/\((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))))))))\/((((op1 (e10) (e11)) = (e10))/\(((op1 (e11) (e10)) = (e10))/\(((~((op1 (e11) (e10)) = (e11)))\/(~((op1 (e11) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e11) (e12)) = (e11)))\/(~((op1 (e11) (e11)) = (e12))))/\((~((op1 (e11) (e13)) = (e11)))\/(~((op1 (e11) (e11)) = (e13)))))))))\/((((op1 (e10) (e12)) = (e10))/\(((op1 (e12) (e10)) = (e10))/\(((~((op1 (e12) (e10)) = (e12)))\/(~((op1 (e12) (e12)) = (e10))))/\(((~((op1 (e12) (e11)) = (e12)))\/(~((op1 (e12) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13)))))))))\/((((op1 (e10) (e13)) = (e10))/\(((op1 (e13) (e10)) = (e10))/\(((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e13) (e13)) = (e10))))/\(((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11))))/\(((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e13) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13)))))))))\/((((op1 (e11) (e10)) = (e11))/\(((op1 (e10) (e11)) = (e11))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11))))/\(((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12))))/\((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))))))))\/((((op1 (e11) (e11)) = (e11))/\(((op1 (e11) (e11)) = (e11))/\(((~((op1 (e11) (e10)) = (e11)))\/(~((op1 (e11) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e11) (e12)) = (e11)))\/(~((op1 (e11) (e11)) = (e12))))/\((~((op1 (e11) (e13)) = (e11)))\/(~((op1 (e11) (e11)) = (e13)))))))))\/((((op1 (e11) (e12)) = (e11))/\(((op1 (e12) (e11)) = (e11))/\(((~((op1 (e12) (e10)) = (e12)))\/(~((op1 (e12) (e12)) = (e10))))/\(((~((op1 (e12) (e11)) = (e12)))\/(~((op1 (e12) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13)))))))))\/((((op1 (e11) (e13)) = (e11))/\(((op1 (e13) (e11)) = (e11))/\(((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e13) (e13)) = (e10))))/\(((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11))))/\(((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e13) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13)))))))))\/((((op1 (e12) (e10)) = (e12))/\(((op1 (e10) (e12)) = (e12))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11))))/\(((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12))))/\((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))))))))\/((((op1 (e12) (e11)) = (e12))/\(((op1 (e11) (e12)) = (e12))/\(((~((op1 (e11) (e10)) = (e11)))\/(~((op1 (e11) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e11) (e12)) = (e11)))\/(~((op1 (e11) (e11)) = (e12))))/\((~((op1 (e11) (e13)) = (e11)))\/(~((op1 (e11) (e11)) = (e13)))))))))\/((((op1 (e12) (e12)) = (e12))/\(((op1 (e12) (e12)) = (e12))/\(((~((op1 (e12) (e10)) = (e12)))\/(~((op1 (e12) (e12)) = (e10))))/\(((~((op1 (e12) (e11)) = (e12)))\/(~((op1 (e12) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13)))))))))\/((((op1 (e12) (e13)) = (e12))/\(((op1 (e13) (e12)) = (e12))/\(((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e13) (e13)) = (e10))))/\(((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11))))/\(((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e13) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13)))))))))\/((((op1 (e13) (e10)) = (e13))/\(((op1 (e10) (e13)) = (e13))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11))))/\(((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12))))/\((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))))))))\/((((op1 (e13) (e11)) = (e13))/\(((op1 (e11) (e13)) = (e13))/\(((~((op1 (e11) (e10)) = (e11)))\/(~((op1 (e11) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e11) (e12)) = (e11)))\/(~((op1 (e11) (e11)) = (e12))))/\((~((op1 (e11) (e13)) = (e11)))\/(~((op1 (e11) (e11)) = (e13)))))))))\/((((op1 (e13) (e12)) = (e13))/\(((op1 (e12) (e13)) = (e13))/\(((~((op1 (e12) (e10)) = (e12)))\/(~((op1 (e12) (e12)) = (e10))))/\(((~((op1 (e12) (e11)) = (e12)))\/(~((op1 (e12) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13)))))))))\/(((op1 (e13) (e13)) = (e13))/\(((op1 (e13) (e13)) = (e13))/\(((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e13) (e13)) = (e10))))/\(((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11))))/\(((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e13) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13)))))))))))))))))))))))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((e12) = (e13))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e13)) = (e10))\/(((op1 (e13) (e13)) = (e11))\/(((op1 (e13) (e13)) = (e12))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> ((e12) = (op1 (op1 (op1 (e11) (e11)) (op1 (e11) (e11))) (op1 (e11) (e11)))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e12))\/((op1 (e11) (e10)) = (e13))))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> ((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) -> ((e10) = (op1 (e11) (e11))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> False).
% 54.96/55.16 do 0 intro. intros zenon_H36e zenon_H192 zenon_H4c2 zenon_H485 zenon_H4c3 zenon_H16c zenon_H100 zenon_H474 zenon_H2b1 zenon_H2a5 zenon_H3b zenon_H44f zenon_H3f zenon_H461 zenon_H4f4 zenon_H1ed zenon_H1de zenon_H1fa zenon_Hd7 zenon_H101 zenon_H121 zenon_H37d zenon_H1e8 zenon_H1f7 zenon_H32b zenon_H206 zenon_H32e zenon_H1a9 zenon_H246 zenon_H2fd zenon_H2c0 zenon_H2b9 zenon_H328 zenon_H325 zenon_H322 zenon_H1f4 zenon_H2c2 zenon_H321 zenon_H301 zenon_H30b zenon_H204 zenon_H30e zenon_H316 zenon_H19d zenon_H2ea zenon_H2e2 zenon_H2a3 zenon_H2e6 zenon_H2d9 zenon_H1cc zenon_H2d1 zenon_H245 zenon_H1d8 zenon_H1da zenon_H209 zenon_H358 zenon_H2c9 zenon_H355 zenon_H1fd zenon_H2f6 zenon_H23b zenon_H2ad zenon_H236 zenon_H2e7 zenon_H21a zenon_H313 zenon_H1be zenon_H345 zenon_H20c zenon_H1b1 zenon_H186 zenon_H180 zenon_H179 zenon_H172 zenon_H18e zenon_H14b zenon_H154 zenon_H155 zenon_H15a zenon_H15f zenon_H2fb zenon_H360 zenon_H2f8 zenon_H35d zenon_H18a zenon_H17 zenon_H15 zenon_H13 zenon_H1e zenon_H25 zenon_H1a0.
% 54.96/55.16 apply (zenon_or_s _ _ zenon_H36e); [ zenon_intro zenon_H244 | zenon_intro zenon_H36f ].
% 54.96/55.16 apply (zenon_L126_); trivial.
% 54.96/55.16 apply (zenon_or_s _ _ zenon_H36f); [ zenon_intro zenon_H371 | zenon_intro zenon_H370 ].
% 54.96/55.16 apply (zenon_and_s _ _ zenon_H371). zenon_intro zenon_H292. zenon_intro zenon_H372.
% 54.96/55.16 apply (zenon_and_s _ _ zenon_H372). zenon_intro zenon_H2a6. zenon_intro zenon_H373.
% 54.96/55.16 apply (zenon_and_s _ _ zenon_H373). zenon_intro zenon_H375. zenon_intro zenon_H374.
% 54.96/55.16 apply (zenon_and_s _ _ zenon_H374). zenon_intro zenon_H29e. zenon_intro zenon_H376.
% 54.96/55.16 apply (zenon_and_s _ _ zenon_H376). zenon_intro zenon_H378. zenon_intro zenon_H377.
% 54.96/55.16 apply (zenon_and_s _ _ zenon_H377). zenon_intro zenon_H37a. zenon_intro zenon_H379.
% 54.96/55.16 apply (zenon_and_s _ _ zenon_H379). zenon_intro zenon_H37c. zenon_intro zenon_H37b.
% 54.96/55.16 apply (zenon_or_s _ _ zenon_H37a); [ zenon_intro zenon_H473 | zenon_intro zenon_H1a7 ].
% 54.96/55.16 apply (zenon_or_s _ _ zenon_H37c); [ zenon_intro zenon_H23f | zenon_intro zenon_H202 ].
% 54.96/55.16 apply (zenon_or_s _ _ zenon_H37b); [ zenon_intro zenon_H20d | zenon_intro zenon_H1c3 ].
% 54.96/55.16 apply (zenon_or_s _ _ zenon_H245); [ zenon_intro zenon_H147 | zenon_intro zenon_H254 ].
% 54.96/55.16 apply (zenon_L60_); trivial.
% 54.96/55.16 apply (zenon_or_s _ _ zenon_H254); [ zenon_intro zenon_H164 | zenon_intro zenon_H255 ].
% 54.96/55.16 apply (zenon_L66_); trivial.
% 54.96/55.16 apply (zenon_or_s _ _ zenon_H255); [ zenon_intro zenon_H197 | zenon_intro zenon_H256 ].
% 54.96/55.16 apply (zenon_L782_); trivial.
% 54.96/55.16 apply (zenon_or_s _ _ zenon_H256); [ zenon_intro zenon_H199 | zenon_intro zenon_H257 ].
% 54.96/55.16 apply (zenon_L77_); trivial.
% 54.96/55.16 apply (zenon_or_s _ _ zenon_H257); [ zenon_intro zenon_H259 | zenon_intro zenon_H258 ].
% 54.96/55.16 apply (zenon_L789_); trivial.
% 54.96/55.16 apply (zenon_or_s _ _ zenon_H258); [ zenon_intro zenon_H1a5 | zenon_intro zenon_H262 ].
% 54.96/55.16 apply (zenon_L80_); trivial.
% 54.96/55.16 apply (zenon_or_s _ _ zenon_H262); [ zenon_intro zenon_H1ae | zenon_intro zenon_H263 ].
% 54.96/55.16 apply (zenon_L83_); trivial.
% 54.96/55.16 apply (zenon_or_s _ _ zenon_H263); [ zenon_intro zenon_H212 | zenon_intro zenon_H264 ].
% 54.96/55.16 apply (zenon_L161_); trivial.
% 54.96/55.16 apply (zenon_or_s _ _ zenon_H264); [ zenon_intro zenon_H220 | zenon_intro zenon_H265 ].
% 54.96/55.16 apply (zenon_L110_); trivial.
% 54.96/55.16 apply (zenon_or_s _ _ zenon_H265); [ zenon_intro zenon_H222 | zenon_intro zenon_H266 ].
% 54.96/55.16 apply (zenon_L111_); trivial.
% 54.96/55.16 apply (zenon_or_s _ _ zenon_H266); [ zenon_intro zenon_H225 | zenon_intro zenon_H267 ].
% 54.96/55.16 apply (zenon_L113_); trivial.
% 54.96/55.16 apply (zenon_or_s _ _ zenon_H267); [ zenon_intro zenon_H22d | zenon_intro zenon_H268 ].
% 54.96/55.16 apply (zenon_L114_); trivial.
% 54.96/55.16 apply (zenon_or_s _ _ zenon_H268); [ zenon_intro zenon_H230 | zenon_intro zenon_H269 ].
% 54.96/55.16 apply (zenon_L115_); trivial.
% 54.96/55.16 apply (zenon_or_s _ _ zenon_H269); [ zenon_intro zenon_H232 | zenon_intro zenon_H26a ].
% 54.96/55.16 apply (zenon_L116_); trivial.
% 54.96/55.16 apply (zenon_or_s _ _ zenon_H26a); [ zenon_intro zenon_H240 | zenon_intro zenon_H242 ].
% 54.96/55.16 apply (zenon_L166_); trivial.
% 54.96/55.16 apply (zenon_L125_); trivial.
% 54.96/55.16 apply (zenon_or_s _ _ zenon_H245); [ zenon_intro zenon_H147 | zenon_intro zenon_H254 ].
% 54.96/55.16 apply (zenon_L60_); trivial.
% 54.96/55.16 apply (zenon_or_s _ _ zenon_H254); [ zenon_intro zenon_H164 | zenon_intro zenon_H255 ].
% 54.96/55.16 apply (zenon_L66_); trivial.
% 54.96/55.16 apply (zenon_or_s _ _ zenon_H255); [ zenon_intro zenon_H197 | zenon_intro zenon_H256 ].
% 54.96/55.16 apply (zenon_L782_); trivial.
% 54.96/55.16 apply (zenon_or_s _ _ zenon_H256); [ zenon_intro zenon_H199 | zenon_intro zenon_H257 ].
% 54.96/55.16 apply (zenon_L77_); trivial.
% 54.96/55.16 apply (zenon_or_s _ _ zenon_H257); [ zenon_intro zenon_H259 | zenon_intro zenon_H258 ].
% 54.96/55.16 apply (zenon_L789_); trivial.
% 54.96/55.16 apply (zenon_or_s _ _ zenon_H258); [ zenon_intro zenon_H1a5 | zenon_intro zenon_H262 ].
% 54.96/55.16 apply (zenon_L80_); trivial.
% 54.96/55.16 apply (zenon_or_s _ _ zenon_H262); [ zenon_intro zenon_H1ae | zenon_intro zenon_H263 ].
% 54.96/55.16 apply (zenon_L83_); trivial.
% 54.96/55.16 apply (zenon_or_s _ _ zenon_H263); [ zenon_intro zenon_H212 | zenon_intro zenon_H264 ].
% 54.96/55.16 apply (zenon_L167_); trivial.
% 54.96/55.16 apply (zenon_or_s _ _ zenon_H264); [ zenon_intro zenon_H220 | zenon_intro zenon_H265 ].
% 54.96/55.16 apply (zenon_L110_); trivial.
% 54.96/55.16 apply (zenon_or_s _ _ zenon_H265); [ zenon_intro zenon_H222 | zenon_intro zenon_H266 ].
% 54.96/55.16 apply (zenon_L111_); trivial.
% 54.96/55.16 apply (zenon_or_s _ _ zenon_H266); [ zenon_intro zenon_H225 | zenon_intro zenon_H267 ].
% 54.96/55.16 apply (zenon_L113_); trivial.
% 54.96/55.16 apply (zenon_or_s _ _ zenon_H267); [ zenon_intro zenon_H22d | zenon_intro zenon_H268 ].
% 54.96/55.16 apply (zenon_L114_); trivial.
% 54.96/55.16 apply (zenon_or_s _ _ zenon_H268); [ zenon_intro zenon_H230 | zenon_intro zenon_H269 ].
% 54.96/55.16 apply (zenon_L115_); trivial.
% 54.96/55.16 apply (zenon_or_s _ _ zenon_H269); [ zenon_intro zenon_H232 | zenon_intro zenon_H26a ].
% 54.96/55.16 apply (zenon_L116_); trivial.
% 54.96/55.16 apply (zenon_or_s _ _ zenon_H26a); [ zenon_intro zenon_H240 | zenon_intro zenon_H242 ].
% 54.96/55.16 apply (zenon_L166_); trivial.
% 54.96/55.16 apply (zenon_L125_); trivial.
% 54.96/55.16 apply (zenon_or_s _ _ zenon_H245); [ zenon_intro zenon_H147 | zenon_intro zenon_H254 ].
% 54.96/55.16 apply (zenon_L60_); trivial.
% 54.96/55.16 apply (zenon_or_s _ _ zenon_H254); [ zenon_intro zenon_H164 | zenon_intro zenon_H255 ].
% 54.96/55.16 apply (zenon_L66_); trivial.
% 54.96/55.16 apply (zenon_or_s _ _ zenon_H255); [ zenon_intro zenon_H197 | zenon_intro zenon_H256 ].
% 54.96/55.16 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_H18f. zenon_intro zenon_H198.
% 54.96/55.16 apply (zenon_and_s _ _ zenon_H198). zenon_intro zenon_H293. zenon_intro zenon_H227.
% 54.96/55.16 apply (zenon_and_s _ _ zenon_H227). zenon_intro zenon_H229. zenon_intro zenon_H228.
% 54.96/55.16 apply (zenon_and_s _ _ zenon_H228). zenon_intro zenon_H22b. zenon_intro zenon_H22a.
% 54.96/55.16 apply (zenon_and_s _ _ zenon_H22a). zenon_intro zenon_H224. zenon_intro zenon_H22c.
% 54.96/55.16 apply (zenon_or_s _ _ zenon_H22b); [ zenon_intro zenon_H23c | zenon_intro zenon_H23f ].
% 54.96/55.16 exact (zenon_H23c zenon_H202).
% 54.96/55.16 apply (zenon_L781_); trivial.
% 54.96/55.16 apply (zenon_or_s _ _ zenon_H256); [ zenon_intro zenon_H199 | zenon_intro zenon_H257 ].
% 54.96/55.16 apply (zenon_L77_); trivial.
% 54.96/55.16 apply (zenon_or_s _ _ zenon_H257); [ zenon_intro zenon_H259 | zenon_intro zenon_H258 ].
% 54.96/55.16 apply (zenon_L794_); trivial.
% 54.96/55.16 apply (zenon_or_s _ _ zenon_H258); [ zenon_intro zenon_H1a5 | zenon_intro zenon_H262 ].
% 54.96/55.16 apply (zenon_L80_); trivial.
% 54.96/55.16 apply (zenon_or_s _ _ zenon_H262); [ zenon_intro zenon_H1ae | zenon_intro zenon_H263 ].
% 54.96/55.16 apply (zenon_L83_); trivial.
% 54.96/55.16 apply (zenon_or_s _ _ zenon_H263); [ zenon_intro zenon_H212 | zenon_intro zenon_H264 ].
% 54.96/55.16 apply (zenon_L169_); trivial.
% 54.96/55.16 apply (zenon_or_s _ _ zenon_H264); [ zenon_intro zenon_H220 | zenon_intro zenon_H265 ].
% 54.96/55.16 apply (zenon_L110_); trivial.
% 54.96/55.16 apply (zenon_or_s _ _ zenon_H265); [ zenon_intro zenon_H222 | zenon_intro zenon_H266 ].
% 54.96/55.16 apply (zenon_L111_); trivial.
% 54.96/55.16 apply (zenon_or_s _ _ zenon_H266); [ zenon_intro zenon_H225 | zenon_intro zenon_H267 ].
% 54.96/55.16 apply (zenon_L113_); trivial.
% 54.96/55.16 apply (zenon_or_s _ _ zenon_H267); [ zenon_intro zenon_H22d | zenon_intro zenon_H268 ].
% 54.96/55.16 apply (zenon_L114_); trivial.
% 54.96/55.16 apply (zenon_or_s _ _ zenon_H268); [ zenon_intro zenon_H230 | zenon_intro zenon_H269 ].
% 54.96/55.16 apply (zenon_L115_); trivial.
% 54.96/55.16 apply (zenon_or_s _ _ zenon_H269); [ zenon_intro zenon_H232 | zenon_intro zenon_H26a ].
% 54.96/55.16 apply (zenon_L116_); trivial.
% 54.96/55.16 apply (zenon_or_s _ _ zenon_H26a); [ zenon_intro zenon_H240 | zenon_intro zenon_H242 ].
% 54.96/55.16 apply (zenon_L166_); trivial.
% 54.96/55.16 apply (zenon_L125_); trivial.
% 54.96/55.16 apply (zenon_L532_); trivial.
% 54.96/55.16 apply (zenon_or_s _ _ zenon_H370); [ zenon_intro zenon_H335 | zenon_intro zenon_H363 ].
% 54.96/55.16 apply (zenon_L260_); trivial.
% 54.96/55.16 apply (zenon_L307_); trivial.
% 54.96/55.16 (* end of lemma zenon_L795_ *)
% 54.96/55.16 assert (zenon_L796_ : ((~((op2 (e22) (e22)) = (e22)))\/(~((op2 (e22) (e22)) = (e22)))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e12))\/((op1 (e11) (e10)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> ((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) -> ((e12) = (op1 (op1 (op1 (e11) (e11)) (op1 (e11) (e11))) (op1 (e11) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((e10) = (e12))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e11)) = (e12))\/((op1 (e10) (e11)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (((op1 (e13) (e13)) = (e10))\/(((op1 (e13) (e13)) = (e11))\/(((op1 (e13) (e13)) = (e12))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (~((e12) = (e13))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> ((((op1 (e10) (e10)) = (e10))/\(((op1 (e10) (e10)) = (e10))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11))))/\(((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12))))/\((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))))))))\/((((op1 (e10) (e11)) = (e10))/\(((op1 (e11) (e10)) = (e10))/\(((~((op1 (e11) (e10)) = (e11)))\/(~((op1 (e11) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e11) (e12)) = (e11)))\/(~((op1 (e11) (e11)) = (e12))))/\((~((op1 (e11) (e13)) = (e11)))\/(~((op1 (e11) (e11)) = (e13)))))))))\/((((op1 (e10) (e12)) = (e10))/\(((op1 (e12) (e10)) = (e10))/\(((~((op1 (e12) (e10)) = (e12)))\/(~((op1 (e12) (e12)) = (e10))))/\(((~((op1 (e12) (e11)) = (e12)))\/(~((op1 (e12) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13)))))))))\/((((op1 (e10) (e13)) = (e10))/\(((op1 (e13) (e10)) = (e10))/\(((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e13) (e13)) = (e10))))/\(((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11))))/\(((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e13) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13)))))))))\/((((op1 (e11) (e10)) = (e11))/\(((op1 (e10) (e11)) = (e11))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11))))/\(((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12))))/\((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))))))))\/((((op1 (e11) (e11)) = (e11))/\(((op1 (e11) (e11)) = (e11))/\(((~((op1 (e11) (e10)) = (e11)))\/(~((op1 (e11) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e11) (e12)) = (e11)))\/(~((op1 (e11) (e11)) = (e12))))/\((~((op1 (e11) (e13)) = (e11)))\/(~((op1 (e11) (e11)) = (e13)))))))))\/((((op1 (e11) (e12)) = (e11))/\(((op1 (e12) (e11)) = (e11))/\(((~((op1 (e12) (e10)) = (e12)))\/(~((op1 (e12) (e12)) = (e10))))/\(((~((op1 (e12) (e11)) = (e12)))\/(~((op1 (e12) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13)))))))))\/((((op1 (e11) (e13)) = (e11))/\(((op1 (e13) (e11)) = (e11))/\(((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e13) (e13)) = (e10))))/\(((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11))))/\(((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e13) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13)))))))))\/((((op1 (e12) (e10)) = (e12))/\(((op1 (e10) (e12)) = (e12))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11))))/\(((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12))))/\((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))))))))\/((((op1 (e12) (e11)) = (e12))/\(((op1 (e11) (e12)) = (e12))/\(((~((op1 (e11) (e10)) = (e11)))\/(~((op1 (e11) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e11) (e12)) = (e11)))\/(~((op1 (e11) (e11)) = (e12))))/\((~((op1 (e11) (e13)) = (e11)))\/(~((op1 (e11) (e11)) = (e13)))))))))\/((((op1 (e12) (e12)) = (e12))/\(((op1 (e12) (e12)) = (e12))/\(((~((op1 (e12) (e10)) = (e12)))\/(~((op1 (e12) (e12)) = (e10))))/\(((~((op1 (e12) (e11)) = (e12)))\/(~((op1 (e12) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13)))))))))\/((((op1 (e12) (e13)) = (e12))/\(((op1 (e13) (e12)) = (e12))/\(((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e13) (e13)) = (e10))))/\(((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11))))/\(((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e13) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13)))))))))\/((((op1 (e13) (e10)) = (e13))/\(((op1 (e10) (e13)) = (e13))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11))))/\(((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12))))/\((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))))))))\/((((op1 (e13) (e11)) = (e13))/\(((op1 (e11) (e13)) = (e13))/\(((~((op1 (e11) (e10)) = (e11)))\/(~((op1 (e11) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e11) (e12)) = (e11)))\/(~((op1 (e11) (e11)) = (e12))))/\((~((op1 (e11) (e13)) = (e11)))\/(~((op1 (e11) (e11)) = (e13)))))))))\/((((op1 (e13) (e12)) = (e13))/\(((op1 (e12) (e13)) = (e13))/\(((~((op1 (e12) (e10)) = (e12)))\/(~((op1 (e12) (e12)) = (e10))))/\(((~((op1 (e12) (e11)) = (e12)))\/(~((op1 (e12) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13)))))))))\/(((op1 (e13) (e13)) = (e13))/\(((op1 (e13) (e13)) = (e13))/\(((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e13) (e13)) = (e10))))/\(((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11))))/\(((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e13) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13)))))))))))))))))))))))) -> ((e10) = (op1 (e11) (e11))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e10)) = (e12))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e13) (e10)) = (e12))))) -> (((op2 (e22) (e22)) = (e20))\/(((op2 (e22) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e22)) = (e23))))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> ((e23) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((h2 (e12)) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> ((e22) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> ((h2 (e13)) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> (~((h2 (op1 (e12) (e12))) = (op2 (h2 (e12)) (h2 (e12))))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (~((op2 (e22) (e22)) = (e21))) -> ((op2 (e22) (e20)) = (e20)) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (((op1 (e10) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e12) (e11)) = (e13))))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e12) (e13)) = (e10))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> ((((op1 (e10) (op1 (e10) (e10))) = (e10))/\(((op1 (e10) (op1 (e10) (e11))) = (e11))/\(((op1 (e10) (op1 (e10) (e12))) = (e12))/\(((op1 (e10) (op1 (e10) (e13))) = (e13))/\(((~((op1 (e10) (e10)) = (e10)))\/((op1 (e10) (e10)) = (e10)))/\(((~((op1 (e11) (e11)) = (e10)))\/((op1 (e11) (e10)) = (e11)))/\(((~((op1 (e12) (e12)) = (e10)))\/((op1 (e12) (e10)) = (e12)))/\((~((op1 (e13) (e13)) = (e10)))\/((op1 (e13) (e10)) = (e13))))))))))\/((((op1 (e11) (op1 (e11) (e10))) = (e10))/\(((op1 (e11) (op1 (e11) (e11))) = (e11))/\(((op1 (e11) (op1 (e11) (e12))) = (e12))/\(((op1 (e11) (op1 (e11) (e13))) = (e13))/\(((~((op1 (e10) (e10)) = (e11)))\/((op1 (e10) (e11)) = (e10)))/\(((~((op1 (e11) (e11)) = (e11)))\/((op1 (e11) (e11)) = (e11)))/\(((~((op1 (e12) (e12)) = (e11)))\/((op1 (e12) (e11)) = (e12)))/\((~((op1 (e13) (e13)) = (e11)))\/((op1 (e13) (e11)) = (e13))))))))))\/((((op1 (e12) (op1 (e12) (e10))) = (e10))/\(((op1 (e12) (op1 (e12) (e11))) = (e11))/\(((op1 (e12) (op1 (e12) (e12))) = (e12))/\(((op1 (e12) (op1 (e12) (e13))) = (e13))/\(((~((op1 (e10) (e10)) = (e12)))\/((op1 (e10) (e12)) = (e10)))/\(((~((op1 (e11) (e11)) = (e12)))\/((op1 (e11) (e12)) = (e11)))/\(((~((op1 (e12) (e12)) = (e12)))\/((op1 (e12) (e12)) = (e12)))/\((~((op1 (e13) (e13)) = (e12)))\/((op1 (e13) (e12)) = (e13))))))))))\/(((op1 (e13) (op1 (e13) (e10))) = (e10))/\(((op1 (e13) (op1 (e13) (e11))) = (e11))/\(((op1 (e13) (op1 (e13) (e12))) = (e12))/\(((op1 (e13) (op1 (e13) (e13))) = (e13))/\(((~((op1 (e10) (e10)) = (e13)))\/((op1 (e10) (e13)) = (e10)))/\(((~((op1 (e11) (e11)) = (e13)))\/((op1 (e11) (e13)) = (e11)))/\(((~((op1 (e12) (e12)) = (e13)))\/((op1 (e12) (e13)) = (e12)))/\((~((op1 (e13) (e13)) = (e13)))\/((op1 (e13) (e13)) = (e13))))))))))))) -> False).
% 54.96/55.16 do 0 intro. intros zenon_Hd5 zenon_H15f zenon_H15a zenon_H15 zenon_H155 zenon_H154 zenon_H14b zenon_H186 zenon_H180 zenon_H179 zenon_H172 zenon_H16c zenon_H18a zenon_H18e zenon_H192 zenon_H246 zenon_H19d zenon_H1a0 zenon_H25 zenon_H1e zenon_H17 zenon_H1a9 zenon_H209 zenon_H206 zenon_H204 zenon_H1fd zenon_H1fa zenon_H1f7 zenon_H1f4 zenon_H1ed zenon_H1e8 zenon_H1da zenon_H1d8 zenon_H1cc zenon_H1de zenon_H1b1 zenon_H1be zenon_H20c zenon_H21a zenon_H236 zenon_H23b zenon_H245 zenon_H13 zenon_H4c2 zenon_H485 zenon_H328 zenon_H4c3 zenon_H100 zenon_H474 zenon_H313 zenon_H2b1 zenon_H2a5 zenon_H2a3 zenon_H301 zenon_H2f8 zenon_H360 zenon_H316 zenon_H2c9 zenon_H3b zenon_H44f zenon_H3f zenon_H461 zenon_H4f4 zenon_H358 zenon_H2e7 zenon_H2b9 zenon_H2ad zenon_H30e zenon_H32e zenon_H2c0 zenon_H2c2 zenon_H101 zenon_H121 zenon_H37d zenon_H32b zenon_H2fd zenon_H2fb zenon_H2f6 zenon_H325 zenon_H322 zenon_H321 zenon_H30b zenon_H2ea zenon_H2e2 zenon_H2e6 zenon_H2d9 zenon_H2d1 zenon_H35d zenon_H345 zenon_H355 zenon_H36e.
% 54.96/55.16 apply (zenon_or_s _ _ zenon_Hd5); [ zenon_intro zenon_Hd7 | zenon_intro zenon_Hd7 ].
% 54.96/55.16 apply (zenon_L795_); trivial.
% 54.96/55.16 apply (zenon_L795_); trivial.
% 54.96/55.16 (* end of lemma zenon_L796_ *)
% 54.96/55.16 assert (zenon_L797_ : (((op2 (e20) (e22)) = (e20))/\(((op2 (e22) (e20)) = (e20))/\(((~((op2 (e22) (e20)) = (e22)))\/(~((op2 (e22) (e22)) = (e20))))/\(((~((op2 (e22) (e21)) = (e22)))\/(~((op2 (e22) (e22)) = (e21))))/\(((~((op2 (e22) (e22)) = (e22)))\/(~((op2 (e22) (e22)) = (e22))))/\((~((op2 (e22) (e23)) = (e22)))\/(~((op2 (e22) (e22)) = (e23))))))))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e12))\/((op1 (e11) (e10)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> ((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) -> ((e12) = (op1 (op1 (op1 (e11) (e11)) (op1 (e11) (e11))) (op1 (e11) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((e10) = (e12))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e11)) = (e12))\/((op1 (e10) (e11)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (((op1 (e13) (e13)) = (e10))\/(((op1 (e13) (e13)) = (e11))\/(((op1 (e13) (e13)) = (e12))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (~((e12) = (e13))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> ((((op1 (e10) (e10)) = (e10))/\(((op1 (e10) (e10)) = (e10))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11))))/\(((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12))))/\((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))))))))\/((((op1 (e10) (e11)) = (e10))/\(((op1 (e11) (e10)) = (e10))/\(((~((op1 (e11) (e10)) = (e11)))\/(~((op1 (e11) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e11) (e12)) = (e11)))\/(~((op1 (e11) (e11)) = (e12))))/\((~((op1 (e11) (e13)) = (e11)))\/(~((op1 (e11) (e11)) = (e13)))))))))\/((((op1 (e10) (e12)) = (e10))/\(((op1 (e12) (e10)) = (e10))/\(((~((op1 (e12) (e10)) = (e12)))\/(~((op1 (e12) (e12)) = (e10))))/\(((~((op1 (e12) (e11)) = (e12)))\/(~((op1 (e12) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13)))))))))\/((((op1 (e10) (e13)) = (e10))/\(((op1 (e13) (e10)) = (e10))/\(((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e13) (e13)) = (e10))))/\(((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11))))/\(((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e13) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13)))))))))\/((((op1 (e11) (e10)) = (e11))/\(((op1 (e10) (e11)) = (e11))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11))))/\(((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12))))/\((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))))))))\/((((op1 (e11) (e11)) = (e11))/\(((op1 (e11) (e11)) = (e11))/\(((~((op1 (e11) (e10)) = (e11)))\/(~((op1 (e11) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e11) (e12)) = (e11)))\/(~((op1 (e11) (e11)) = (e12))))/\((~((op1 (e11) (e13)) = (e11)))\/(~((op1 (e11) (e11)) = (e13)))))))))\/((((op1 (e11) (e12)) = (e11))/\(((op1 (e12) (e11)) = (e11))/\(((~((op1 (e12) (e10)) = (e12)))\/(~((op1 (e12) (e12)) = (e10))))/\(((~((op1 (e12) (e11)) = (e12)))\/(~((op1 (e12) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13)))))))))\/((((op1 (e11) (e13)) = (e11))/\(((op1 (e13) (e11)) = (e11))/\(((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e13) (e13)) = (e10))))/\(((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11))))/\(((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e13) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13)))))))))\/((((op1 (e12) (e10)) = (e12))/\(((op1 (e10) (e12)) = (e12))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11))))/\(((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12))))/\((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))))))))\/((((op1 (e12) (e11)) = (e12))/\(((op1 (e11) (e12)) = (e12))/\(((~((op1 (e11) (e10)) = (e11)))\/(~((op1 (e11) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e11) (e12)) = (e11)))\/(~((op1 (e11) (e11)) = (e12))))/\((~((op1 (e11) (e13)) = (e11)))\/(~((op1 (e11) (e11)) = (e13)))))))))\/((((op1 (e12) (e12)) = (e12))/\(((op1 (e12) (e12)) = (e12))/\(((~((op1 (e12) (e10)) = (e12)))\/(~((op1 (e12) (e12)) = (e10))))/\(((~((op1 (e12) (e11)) = (e12)))\/(~((op1 (e12) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13)))))))))\/((((op1 (e12) (e13)) = (e12))/\(((op1 (e13) (e12)) = (e12))/\(((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e13) (e13)) = (e10))))/\(((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11))))/\(((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e13) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13)))))))))\/((((op1 (e13) (e10)) = (e13))/\(((op1 (e10) (e13)) = (e13))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11))))/\(((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12))))/\((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))))))))\/((((op1 (e13) (e11)) = (e13))/\(((op1 (e11) (e13)) = (e13))/\(((~((op1 (e11) (e10)) = (e11)))\/(~((op1 (e11) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e11) (e12)) = (e11)))\/(~((op1 (e11) (e11)) = (e12))))/\((~((op1 (e11) (e13)) = (e11)))\/(~((op1 (e11) (e11)) = (e13)))))))))\/((((op1 (e13) (e12)) = (e13))/\(((op1 (e12) (e13)) = (e13))/\(((~((op1 (e12) (e10)) = (e12)))\/(~((op1 (e12) (e12)) = (e10))))/\(((~((op1 (e12) (e11)) = (e12)))\/(~((op1 (e12) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13)))))))))\/(((op1 (e13) (e13)) = (e13))/\(((op1 (e13) (e13)) = (e13))/\(((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e13) (e13)) = (e10))))/\(((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11))))/\(((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e13) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13)))))))))))))))))))))))) -> ((e10) = (op1 (e11) (e11))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e10)) = (e12))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e13) (e10)) = (e12))))) -> (((op2 (e22) (e22)) = (e20))\/(((op2 (e22) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e22)) = (e23))))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> ((e23) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((h2 (e12)) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> ((e22) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> ((h2 (e13)) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> (~((h2 (op1 (e12) (e12))) = (op2 (h2 (e12)) (h2 (e12))))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (~((op2 (e22) (e22)) = (e21))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (((op1 (e10) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e12) (e11)) = (e13))))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e12) (e13)) = (e10))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> ((((op1 (e10) (op1 (e10) (e10))) = (e10))/\(((op1 (e10) (op1 (e10) (e11))) = (e11))/\(((op1 (e10) (op1 (e10) (e12))) = (e12))/\(((op1 (e10) (op1 (e10) (e13))) = (e13))/\(((~((op1 (e10) (e10)) = (e10)))\/((op1 (e10) (e10)) = (e10)))/\(((~((op1 (e11) (e11)) = (e10)))\/((op1 (e11) (e10)) = (e11)))/\(((~((op1 (e12) (e12)) = (e10)))\/((op1 (e12) (e10)) = (e12)))/\((~((op1 (e13) (e13)) = (e10)))\/((op1 (e13) (e10)) = (e13))))))))))\/((((op1 (e11) (op1 (e11) (e10))) = (e10))/\(((op1 (e11) (op1 (e11) (e11))) = (e11))/\(((op1 (e11) (op1 (e11) (e12))) = (e12))/\(((op1 (e11) (op1 (e11) (e13))) = (e13))/\(((~((op1 (e10) (e10)) = (e11)))\/((op1 (e10) (e11)) = (e10)))/\(((~((op1 (e11) (e11)) = (e11)))\/((op1 (e11) (e11)) = (e11)))/\(((~((op1 (e12) (e12)) = (e11)))\/((op1 (e12) (e11)) = (e12)))/\((~((op1 (e13) (e13)) = (e11)))\/((op1 (e13) (e11)) = (e13))))))))))\/((((op1 (e12) (op1 (e12) (e10))) = (e10))/\(((op1 (e12) (op1 (e12) (e11))) = (e11))/\(((op1 (e12) (op1 (e12) (e12))) = (e12))/\(((op1 (e12) (op1 (e12) (e13))) = (e13))/\(((~((op1 (e10) (e10)) = (e12)))\/((op1 (e10) (e12)) = (e10)))/\(((~((op1 (e11) (e11)) = (e12)))\/((op1 (e11) (e12)) = (e11)))/\(((~((op1 (e12) (e12)) = (e12)))\/((op1 (e12) (e12)) = (e12)))/\((~((op1 (e13) (e13)) = (e12)))\/((op1 (e13) (e12)) = (e13))))))))))\/(((op1 (e13) (op1 (e13) (e10))) = (e10))/\(((op1 (e13) (op1 (e13) (e11))) = (e11))/\(((op1 (e13) (op1 (e13) (e12))) = (e12))/\(((op1 (e13) (op1 (e13) (e13))) = (e13))/\(((~((op1 (e10) (e10)) = (e13)))\/((op1 (e10) (e13)) = (e10)))/\(((~((op1 (e11) (e11)) = (e13)))\/((op1 (e11) (e13)) = (e11)))/\(((~((op1 (e12) (e12)) = (e13)))\/((op1 (e12) (e13)) = (e12)))/\((~((op1 (e13) (e13)) = (e13)))\/((op1 (e13) (e13)) = (e13))))))))))))) -> False).
% 54.96/55.16 do 0 intro. intros zenon_H77 zenon_H15f zenon_H15a zenon_H15 zenon_H155 zenon_H154 zenon_H14b zenon_H186 zenon_H180 zenon_H179 zenon_H172 zenon_H16c zenon_H18a zenon_H18e zenon_H192 zenon_H246 zenon_H19d zenon_H1a0 zenon_H25 zenon_H1e zenon_H17 zenon_H1a9 zenon_H209 zenon_H206 zenon_H204 zenon_H1fd zenon_H1fa zenon_H1f7 zenon_H1f4 zenon_H1ed zenon_H1e8 zenon_H1da zenon_H1d8 zenon_H1cc zenon_H1de zenon_H1b1 zenon_H1be zenon_H20c zenon_H21a zenon_H236 zenon_H23b zenon_H245 zenon_H13 zenon_H4c2 zenon_H485 zenon_H328 zenon_H4c3 zenon_H100 zenon_H474 zenon_H313 zenon_H2b1 zenon_H2a5 zenon_H2a3 zenon_H301 zenon_H2f8 zenon_H360 zenon_H316 zenon_H2c9 zenon_H3b zenon_H44f zenon_H3f zenon_H461 zenon_H4f4 zenon_H358 zenon_H2e7 zenon_H2b9 zenon_H2ad zenon_H30e zenon_H32e zenon_H2c0 zenon_H2c2 zenon_H101 zenon_H37d zenon_H32b zenon_H2fd zenon_H2fb zenon_H2f6 zenon_H325 zenon_H322 zenon_H321 zenon_H30b zenon_H2ea zenon_H2e2 zenon_H2e6 zenon_H2d9 zenon_H2d1 zenon_H35d zenon_H345 zenon_H355 zenon_H36e.
% 54.96/55.16 apply (zenon_and_s _ _ zenon_H77). zenon_intro zenon_H57. zenon_intro zenon_H78.
% 54.96/55.16 apply (zenon_and_s _ _ zenon_H78). zenon_intro zenon_H121. zenon_intro zenon_Hda.
% 54.96/55.16 apply (zenon_and_s _ _ zenon_Hda). zenon_intro zenon_Hdc. zenon_intro zenon_Hdb.
% 54.96/55.16 apply (zenon_and_s _ _ zenon_Hdb). zenon_intro zenon_Hde. zenon_intro zenon_Hdd.
% 54.96/55.16 apply (zenon_and_s _ _ zenon_Hdd). zenon_intro zenon_Hd5. zenon_intro zenon_Hdf.
% 54.96/55.16 apply (zenon_L796_); trivial.
% 54.96/55.16 (* end of lemma zenon_L797_ *)
% 54.96/55.16 assert (zenon_L798_ : (((op2 (e20) (e22)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e23) (e22)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e22)))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> ((e10) = (op1 (e11) (e11))) -> ((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> ((op1 (e10) (e12)) = (e10)) -> ((op1 (e12) (e10)) = (e10)) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e11) (e11)) = (e11))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> ((op1 (e11) (op1 (e11) (e12))) = (e12)) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e12))\/((op1 (e11) (e10)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> ((op1 (e11) (op1 (e11) (e11))) = (e11)) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> ((op1 (e11) (op1 (e11) (e10))) = (e10)) -> (~((op1 (e12) (e12)) = (e11))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e11)) = (e12))\/((op1 (e10) (e11)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (~((op1 (e12) (e13)) = (e12))) -> (~((op1 (e12) (e12)) = (e12))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((h2 (op1 (e12) (e12))) = (op2 (h2 (e12)) (h2 (e12))))) -> ((h2 (e13)) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((h2 (e12)) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> ((e22) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> ((op1 (e11) (op1 (e11) (e13))) = (e13)) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((e12) = (e13))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> ((e12) = (op1 (op1 (op1 (e11) (e11)) (op1 (e11) (e11))) (op1 (e11) (e11)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> ((e23) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((op2 (e21) (e21)) = (e22)) -> ((e20) = (op2 (e21) (e21))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> False).
% 54.96/55.17 do 0 intro. intros zenon_H43a zenon_H98 zenon_H437 zenon_H25 zenon_H13 zenon_H15 zenon_H1e zenon_H17 zenon_H474 zenon_H18f zenon_H293 zenon_H1de zenon_H2c0 zenon_H473 zenon_H1a9 zenon_H1fa zenon_H30e zenon_H1ed zenon_H375 zenon_H32e zenon_H1be zenon_H1b1 zenon_H15f zenon_H14b zenon_H2a5 zenon_H2a6 zenon_H1da zenon_H2a3 zenon_H292 zenon_H23f zenon_H1d8 zenon_H2b1 zenon_H154 zenon_H15a zenon_H206 zenon_H19d zenon_H360 zenon_H2f8 zenon_H1fd zenon_H301 zenon_H316 zenon_H2c2 zenon_H209 zenon_H27d zenon_H1d1 zenon_H186 zenon_H204 zenon_H179 zenon_H180 zenon_H21a zenon_H23b zenon_H18e zenon_H4f4 zenon_H461 zenon_H44f zenon_H3f zenon_H358 zenon_H2c9 zenon_H29e zenon_H18a zenon_H236 zenon_H2e7 zenon_H2ad zenon_H1cc zenon_H2b9 zenon_H313 zenon_H155 zenon_H172 zenon_H1a0 zenon_H3b zenon_H401 zenon_H33 zenon_H3cb.
% 54.96/55.17 apply (zenon_or_s _ _ zenon_H43a); [ zenon_intro zenon_H97 | zenon_intro zenon_H43b ].
% 54.96/55.17 apply (zenon_L26_); trivial.
% 54.96/55.17 apply (zenon_or_s _ _ zenon_H43b); [ zenon_intro zenon_H38e | zenon_intro zenon_H43c ].
% 54.96/55.17 apply (zenon_L449_); trivial.
% 54.96/55.17 apply (zenon_or_s _ _ zenon_H43c); [ zenon_intro zenon_Hf6 | zenon_intro zenon_Hfb ].
% 54.96/55.17 apply (zenon_L779_); trivial.
% 54.96/55.17 apply (zenon_L450_); trivial.
% 54.96/55.17 (* end of lemma zenon_L798_ *)
% 54.96/55.17 assert (zenon_L799_ : (((op2 (e22) (e22)) = (e20))\/(((op2 (e22) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e22)) = (e23))))) -> ((op2 (e22) (e20)) = (e20)) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> (~((op2 (e22) (e22)) = (e21))) -> ((op2 (e21) (e22)) = (e22)) -> ((op2 (e21) (op2 (e21) (e22))) = (e22)) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> ((e23) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((op2 (e23) (e22)) = (e23)) -> ((op2 (e20) (e20)) = (e23)) -> ((e20) = (op2 (e21) (e21))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> False).
% 54.96/55.17 do 0 intro. intros zenon_H100 zenon_H121 zenon_H37d zenon_H101 zenon_Hd4 zenon_H481 zenon_H40c zenon_H3b zenon_Hfb zenon_Ha8 zenon_H33 zenon_Hfc.
% 54.96/55.17 apply (zenon_or_s _ _ zenon_H100); [ zenon_intro zenon_H88 | zenon_intro zenon_H102 ].
% 54.96/55.17 apply (zenon_L309_); trivial.
% 54.96/55.17 apply (zenon_or_s _ _ zenon_H102); [ zenon_intro zenon_H104 | zenon_intro zenon_H103 ].
% 54.96/55.17 exact (zenon_H101 zenon_H104).
% 54.96/55.17 apply (zenon_or_s _ _ zenon_H103); [ zenon_intro zenon_Hd6 | zenon_intro zenon_Hf6 ].
% 54.96/55.17 apply (zenon_L679_); trivial.
% 54.96/55.17 apply (zenon_L50_); trivial.
% 54.96/55.17 (* end of lemma zenon_L799_ *)
% 54.96/55.17 assert (zenon_L800_ : (((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e20)) = (e20))\/(((op2 (e22) (e20)) = (e20))\/((op2 (e23) (e20)) = (e20))))) -> (~((op2 (e20) (e20)) = (e20))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e22)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e22) (e22)) = (e21))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> (((op2 (e22) (e22)) = (e20))\/(((op2 (e22) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e22)) = (e23))))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> ((e12) = (op1 (op1 (op1 (e11) (e11)) (op1 (e11) (e11))) (op1 (e11) (e11)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((e12) = (e13))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> ((op1 (e11) (op1 (e11) (e13))) = (e13)) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> ((h2 (e12)) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> ((h2 (e13)) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> (~((h2 (op1 (e12) (e12))) = (op2 (h2 (e12)) (h2 (e12))))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e12) (e12)) = (e12))) -> (~((op1 (e12) (e13)) = (e12))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (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) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((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)) = (op1 (e11) (e10)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e12)) = (e11))) -> ((op1 (e11) (op1 (e11) (e10))) = (e10)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> ((op1 (e11) (op1 (e11) (e11))) = (e11)) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e12))\/((op1 (e11) (e10)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> ((op1 (e11) (op1 (e11) (e12))) = (e12)) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (~((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 (e11) (e12)))) -> (~((op1 (e11) (e11)) = (e11))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> ((op1 (e12) (e10)) = (e10)) -> ((op1 (e10) (e12)) = (e10)) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> ((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) -> ((e10) = (op1 (e11) (e11))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((op2 (e20) (e22)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e23) (e22)) = (e23))))) -> (((op2 (e21) (e20)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/((op2 (e21) (e23)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> (((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e21)) = (e22))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> ((op2 (e21) (op2 (e21) (e22))) = (e22)) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> ((op2 (e20) (e21)) = (e21)) -> (~((op2 (e20) (e23)) = (e20))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e21) (e22)) = (op2 (e21) (e23)))) -> ((op2 (e21) (op2 (e21) (e23))) = (e23)) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e20) (e21)) = (e23))\/(((op2 (e20) (e22)) = (e23))\/((op2 (e20) (e23)) = (e23))))) -> (((op2 (e23) (e20)) = (e22))\/(((op2 (e23) (e21)) = (e22))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((e20) = (e22))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> ((e22) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> ((e20) = (op2 (e21) (e21))) -> ((e23) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> False).
% 54.96/55.17 do 0 intro. intros zenon_H4e6 zenon_H31 zenon_H32 zenon_H9f zenon_H98 zenon_H93 zenon_H4ae zenon_H3e zenon_H3cb zenon_H437 zenon_Hfc zenon_H40c zenon_H101 zenon_H37d zenon_H100 zenon_H1a0 zenon_H172 zenon_H155 zenon_H313 zenon_H2b9 zenon_H1cc zenon_H2ad zenon_H2e7 zenon_H236 zenon_H18a zenon_H29e zenon_H2c9 zenon_H358 zenon_H44f zenon_H461 zenon_H4f4 zenon_H18e zenon_H23b zenon_H21a zenon_H180 zenon_H179 zenon_H204 zenon_H186 zenon_H1d1 zenon_H27d zenon_H209 zenon_H2c2 zenon_H316 zenon_H301 zenon_H1fd zenon_H2f8 zenon_H360 zenon_H19d zenon_H206 zenon_H15a zenon_H154 zenon_H2b1 zenon_H1d8 zenon_H23f zenon_H292 zenon_H2a3 zenon_H1da zenon_H2a6 zenon_H2a5 zenon_H14b zenon_H15f zenon_H1b1 zenon_H1be zenon_H32e zenon_H375 zenon_H1ed zenon_H30e zenon_H1fa zenon_H1a9 zenon_H473 zenon_H2c0 zenon_H1de zenon_H293 zenon_H18f zenon_H474 zenon_H17 zenon_H1e zenon_H15 zenon_H13 zenon_H25 zenon_H43a zenon_H399 zenon_H45 zenon_H3af zenon_H282 zenon_H39d zenon_H3b1 zenon_H116 zenon_H3b4 zenon_H481 zenon_H3a8 zenon_H3c2 zenon_Hb9 zenon_Had zenon_H489 zenon_H47a zenon_H395 zenon_Ha5 zenon_H74 zenon_H4e2 zenon_H60 zenon_H67 zenon_H3f zenon_H33 zenon_H3b zenon_H6e.
% 54.96/55.17 apply (zenon_or_s _ _ zenon_H4e6); [ zenon_intro zenon_H2d | zenon_intro zenon_H4e7 ].
% 54.96/55.17 exact (zenon_H31 zenon_H2d).
% 54.96/55.17 apply (zenon_or_s _ _ zenon_H4e7); [ zenon_intro zenon_H34 | zenon_intro zenon_H4e8 ].
% 54.96/55.17 apply (zenon_L6_); trivial.
% 54.96/55.17 apply (zenon_or_s _ _ zenon_H4e8); [ zenon_intro zenon_H121 | zenon_intro zenon_H80 ].
% 54.96/55.17 apply (zenon_or_s _ _ zenon_Ha5); [ zenon_intro zenon_Ha8 | zenon_intro zenon_Ha7 ].
% 54.96/55.17 apply (zenon_or_s _ _ zenon_H4ae); [ zenon_intro zenon_H40 | zenon_intro zenon_H4af ].
% 54.96/55.17 apply (zenon_L8_); trivial.
% 54.96/55.17 apply (zenon_or_s _ _ zenon_H4af); [ zenon_intro zenon_H401 | zenon_intro zenon_H4b0 ].
% 54.96/55.17 apply (zenon_L798_); trivial.
% 54.96/55.17 apply (zenon_or_s _ _ zenon_H4b0); [ zenon_intro zenon_Hd4 | zenon_intro zenon_H478 ].
% 54.96/55.17 apply (zenon_or_s _ _ zenon_H43a); [ zenon_intro zenon_H97 | zenon_intro zenon_H43b ].
% 54.96/55.17 apply (zenon_L26_); trivial.
% 54.96/55.17 apply (zenon_or_s _ _ zenon_H43b); [ zenon_intro zenon_H38e | zenon_intro zenon_H43c ].
% 54.96/55.17 apply (zenon_L590_); trivial.
% 54.96/55.17 apply (zenon_or_s _ _ zenon_H43c); [ zenon_intro zenon_Hf6 | zenon_intro zenon_Hfb ].
% 54.96/55.17 apply (zenon_L779_); trivial.
% 54.96/55.17 apply (zenon_L799_); trivial.
% 54.96/55.17 apply (zenon_L712_); trivial.
% 54.96/55.17 apply (zenon_or_s _ _ zenon_Ha7); [ zenon_intro zenon_H92 | zenon_intro zenon_Ha9 ].
% 54.96/55.17 apply (zenon_L25_); trivial.
% 54.96/55.17 apply (zenon_or_s _ _ zenon_Ha9); [ zenon_intro zenon_H97 | zenon_intro zenon_H9e ].
% 54.96/55.17 apply (zenon_L26_); trivial.
% 54.96/55.17 apply (zenon_L27_); trivial.
% 54.96/55.17 apply (zenon_L736_); trivial.
% 54.96/55.17 (* end of lemma zenon_L800_ *)
% 54.96/55.17 assert (zenon_L801_ : ((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13)))) -> (~((op2 (e20) (e20)) = (e20))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> ((e20) = (op2 (e21) (e21))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e20) (e21)) = (e23))\/(((op2 (e20) (e22)) = (e23))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> ((e22) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> ((e23) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> (((op2 (e20) (e22)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e23) (e22)) = (e23))))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> ((op1 (e11) (op1 (e11) (e11))) = (e11)) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e11)) = (e12))\/((op1 (e10) (e11)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e12))\/((op1 (e11) (e10)) = (e13))))) -> (~((op1 (e11) (e11)) = (e11))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> ((e12) = (op1 (op1 (op1 (e11) (e11)) (op1 (e11) (e11))) (op1 (e11) (e11)))) -> ((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) -> ((e10) = (op1 (e11) (e11))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> ((h2 (e12)) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> ((h2 (e13)) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> (~((h2 (op1 (e12) (e12))) = (op2 (h2 (e12)) (h2 (e12))))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((e12) = (e13))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> ((op1 (e11) (op1 (e11) (e12))) = (e12)) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> ((op1 (e11) (op1 (e11) (e13))) = (e13)) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e12) (e12)) = (e12))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e12)) = (e11))) -> ((op1 (e10) (e12)) = (e10)) -> ((op1 (e12) (e10)) = (e10)) -> ((op1 (e11) (op1 (e11) (e10))) = (e10)) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e22)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> (~((op2 (e22) (e22)) = (e21))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e22) (e22)) = (e20))\/(((op2 (e22) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e22)) = (e23))))) -> (~((op2 (e20) (e23)) = (e20))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> ((op2 (e20) (e21)) = (e21)) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> ((op2 (e21) (op2 (e21) (e22))) = (e22)) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (((op2 (e21) (e20)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/((op2 (e21) (e23)) = (e23))))) -> (~((op2 (e21) (e22)) = (op2 (e21) (e23)))) -> ((op2 (e21) (op2 (e21) (e23))) = (e23)) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e21)) = (e22))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> (((op2 (e23) (e20)) = (e22))\/(((op2 (e23) (e21)) = (e22))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (~((e20) = (e22))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e20)) = (e20))\/(((op2 (e22) (e20)) = (e20))\/((op2 (e23) (e20)) = (e20))))) -> False).
% 54.96/55.17 do 0 intro. intros zenon_H22c zenon_H31 zenon_H32 zenon_H33 zenon_Ha5 zenon_H93 zenon_H3e zenon_H3f zenon_H3b zenon_H43a zenon_H3cb zenon_H474 zenon_H313 zenon_H1b1 zenon_H18a zenon_H2b1 zenon_H2a6 zenon_H2a5 zenon_H2a3 zenon_H1d8 zenon_H206 zenon_H17 zenon_H301 zenon_H2f8 zenon_H1fd zenon_H360 zenon_H316 zenon_H19d zenon_H1be zenon_H14b zenon_H1a9 zenon_H15f zenon_H473 zenon_H154 zenon_H155 zenon_H15 zenon_H13 zenon_H2c9 zenon_H18e zenon_H44f zenon_H461 zenon_H4f4 zenon_H358 zenon_H1e zenon_H209 zenon_H15a zenon_H2e7 zenon_H2b9 zenon_H236 zenon_H2ad zenon_H30e zenon_H375 zenon_H1ed zenon_H32e zenon_H29e zenon_H2c0 zenon_H2c2 zenon_H21a zenon_H186 zenon_H180 zenon_H179 zenon_H172 zenon_H204 zenon_H1d1 zenon_H23b zenon_H1da zenon_H1cc zenon_H23f zenon_H18f zenon_H293 zenon_H292 zenon_H1de zenon_H1fa zenon_H25 zenon_H1a0 zenon_H437 zenon_H98 zenon_H37d zenon_H101 zenon_H40c zenon_Hfc zenon_H100 zenon_Had zenon_H3c2 zenon_Hb9 zenon_H3a8 zenon_H481 zenon_H9f zenon_H489 zenon_H399 zenon_H47a zenon_H395 zenon_H116 zenon_H3b1 zenon_H3af zenon_H60 zenon_H282 zenon_H39d zenon_H3b4 zenon_H45 zenon_H4ae zenon_H74 zenon_H6e zenon_H67 zenon_H4e2 zenon_H4e6.
% 54.96/55.17 apply (zenon_or_s _ _ zenon_H22c); [ zenon_intro zenon_H27d | zenon_intro zenon_H29d ].
% 54.96/55.17 apply (zenon_L800_); trivial.
% 54.96/55.17 apply (zenon_L144_); trivial.
% 54.96/55.17 (* end of lemma zenon_L801_ *)
% 54.96/55.17 assert (zenon_L802_ : (((op2 (e20) (e22)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e23) (e22)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e22)))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> ((op1 (e11) (op1 (e11) (e13))) = (e13)) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> ((op1 (e11) (op1 (e11) (e12))) = (e12)) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> ((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) -> ((e10) = (op1 (e11) (e11))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (((op1 (e11) (e10)) = (e11))/\(((op1 (e10) (e11)) = (e11))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11))))/\(((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12))))/\((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13))))))))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (~((h2 (op1 (e12) (e12))) = (op2 (h2 (e12)) (h2 (e12))))) -> ((h2 (e13)) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((h2 (e12)) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> ((e22) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> (~((e12) = (e13))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> ((e12) = (op1 (op1 (op1 (e11) (e11)) (op1 (e11) (e11))) (op1 (e11) (e11)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e10) (e10)) = (e12))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e10)) = (e12))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e13) (e10)) = (e12))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (e10))) -> ((op1 (e10) (e11)) = (e11)) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> ((e23) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((op2 (e21) (e21)) = (e22)) -> ((e20) = (op2 (e21) (e21))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> False).
% 54.96/55.17 do 0 intro. intros zenon_H43a zenon_H98 zenon_H437 zenon_H29e zenon_H1f4 zenon_H1cc zenon_H375 zenon_H30e zenon_H15 zenon_H13 zenon_H1e zenon_H2c9 zenon_H209 zenon_H204 zenon_H1f7 zenon_H1e8 zenon_H1a9 zenon_H259 zenon_H358 zenon_H2c0 zenon_H4f4 zenon_H461 zenon_H44f zenon_H3f zenon_H236 zenon_H2ad zenon_H2e7 zenon_H21a zenon_H23b zenon_H2b9 zenon_H15a zenon_H2c2 zenon_H155 zenon_H172 zenon_H18e zenon_H154 zenon_H1fa zenon_H4c4 zenon_H4c3 zenon_H180 zenon_H179 zenon_H186 zenon_H328 zenon_H25f zenon_H1fe zenon_H485 zenon_H25 zenon_H4c2 zenon_H3b zenon_H401 zenon_H33 zenon_H3cb.
% 54.96/55.17 apply (zenon_or_s _ _ zenon_H43a); [ zenon_intro zenon_H97 | zenon_intro zenon_H43b ].
% 54.96/55.17 apply (zenon_L26_); trivial.
% 54.96/55.17 apply (zenon_or_s _ _ zenon_H43b); [ zenon_intro zenon_H38e | zenon_intro zenon_H43c ].
% 54.96/55.17 apply (zenon_L449_); trivial.
% 54.96/55.17 apply (zenon_or_s _ _ zenon_H43c); [ zenon_intro zenon_Hf6 | zenon_intro zenon_Hfb ].
% 54.96/55.17 apply (zenon_L787_); trivial.
% 54.96/55.17 apply (zenon_L450_); trivial.
% 54.96/55.17 (* end of lemma zenon_L802_ *)
% 54.96/55.17 assert (zenon_L803_ : ((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12)))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e20)) = (e20))\/(((op2 (e22) (e20)) = (e20))\/((op2 (e23) (e20)) = (e20))))) -> (~((op2 (e20) (e20)) = (e22))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> (~((e20) = (e22))) -> (((op2 (e20) (e20)) = (e22))\/(((op2 (e21) (e20)) = (e22))\/(((op2 (e22) (e20)) = (e22))\/((op2 (e23) (e20)) = (e22))))) -> (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e21)) = (e22))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> ((op2 (e21) (op2 (e21) (e23))) = (e23)) -> (~((op2 (e21) (e22)) = (op2 (e21) (e23)))) -> (((op2 (e21) (e20)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/((op2 (e21) (e23)) = (e23))))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> ((op2 (e21) (op2 (e21) (e22))) = (e22)) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> ((op2 (e20) (e21)) = (e21)) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e23)) = (e20))) -> (((op2 (e22) (e22)) = (e20))\/(((op2 (e22) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e22)) = (e23))))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e22) (e22)) = (e21))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e22)))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (((op1 (e11) (e10)) = (e11))/\(((op1 (e10) (e11)) = (e11))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11))))/\(((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12))))/\((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13))))))))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((e12) = (e13))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> ((e12) = (op1 (op1 (op1 (e11) (e11)) (op1 (e11) (e11))) (op1 (e11) (e11)))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e11) (op1 (e11) (e13))) = (e13)) -> ((op1 (e11) (op1 (e11) (e12))) = (e12)) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> ((op1 (e10) (e11)) = (e11)) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((h2 (op1 (e12) (e12))) = (op2 (h2 (e12)) (h2 (e12))))) -> ((h2 (e13)) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((h2 (e12)) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e10)) = (e12))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e13) (e10)) = (e12))))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e20) (e22)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e23) (e22)) = (e23))))) -> ((e23) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((e22) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e20) (e21)) = (e23))\/(((op2 (e20) (e22)) = (e23))\/((op2 (e20) (e23)) = (e23))))) -> ((e20) = (op2 (e21) (e21))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> (~((op2 (e20) (e20)) = (e20))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> ((e10) = (op1 (e11) (e11))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (~((op1 (e10) (e10)) = (e10))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> ((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> ((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))) -> False).
% 54.96/55.17 do 0 intro. intros zenon_H25e zenon_H4e6 zenon_Hbd zenon_Hb0 zenon_H4e2 zenon_Hb7 zenon_H4ae zenon_H45 zenon_H3b4 zenon_H39d zenon_H282 zenon_H60 zenon_H3af zenon_H3b1 zenon_H116 zenon_H395 zenon_H47a zenon_H399 zenon_H489 zenon_H9f zenon_H481 zenon_H3a8 zenon_Hb9 zenon_H3c2 zenon_Had zenon_H100 zenon_Hfc zenon_H40c zenon_H101 zenon_H37d zenon_H98 zenon_H437 zenon_H4c2 zenon_H2c2 zenon_H2c0 zenon_H1f7 zenon_H1a9 zenon_H259 zenon_H1e8 zenon_H2ad zenon_H236 zenon_H2e7 zenon_H15a zenon_H209 zenon_H186 zenon_H180 zenon_H179 zenon_H172 zenon_H154 zenon_H155 zenon_H21a zenon_H1fa zenon_H1f4 zenon_H29e zenon_H375 zenon_H30e zenon_H485 zenon_H1fe zenon_H23b zenon_H2b9 zenon_H1cc zenon_H204 zenon_H328 zenon_H358 zenon_H4f4 zenon_H461 zenon_H44f zenon_H18e zenon_H2c9 zenon_H4c3 zenon_H3cb zenon_H43a zenon_H3b zenon_H3f zenon_H3e zenon_H93 zenon_Ha5 zenon_H33 zenon_H32 zenon_H31 zenon_H246 zenon_H13 zenon_H19d zenon_H146 zenon_H1a0 zenon_H25 zenon_H1e zenon_H15 zenon_H17 zenon_H25d.
% 54.96/55.17 apply (zenon_or_s _ _ zenon_H25e); [ zenon_intro zenon_H458 | zenon_intro zenon_H4c4 ].
% 54.96/55.17 apply (zenon_L629_); trivial.
% 54.96/55.17 apply (zenon_or_s _ _ zenon_H25d); [ zenon_intro zenon_H25f | zenon_intro zenon_H1a1 ].
% 54.96/55.17 apply (zenon_or_s _ _ zenon_H4e6); [ zenon_intro zenon_H2d | zenon_intro zenon_H4e7 ].
% 54.96/55.17 exact (zenon_H31 zenon_H2d).
% 54.96/55.17 apply (zenon_or_s _ _ zenon_H4e7); [ zenon_intro zenon_H34 | zenon_intro zenon_H4e8 ].
% 54.96/55.17 apply (zenon_L6_); trivial.
% 54.96/55.17 apply (zenon_or_s _ _ zenon_H4e8); [ zenon_intro zenon_H121 | zenon_intro zenon_H80 ].
% 54.96/55.17 apply (zenon_or_s _ _ zenon_Ha5); [ zenon_intro zenon_Ha8 | zenon_intro zenon_Ha7 ].
% 54.96/55.17 apply (zenon_or_s _ _ zenon_H4ae); [ zenon_intro zenon_H40 | zenon_intro zenon_H4af ].
% 54.96/55.17 apply (zenon_L8_); trivial.
% 54.96/55.17 apply (zenon_or_s _ _ zenon_H4af); [ zenon_intro zenon_H401 | zenon_intro zenon_H4b0 ].
% 54.96/55.17 apply (zenon_L802_); trivial.
% 54.96/55.17 apply (zenon_or_s _ _ zenon_H4b0); [ zenon_intro zenon_Hd4 | zenon_intro zenon_H478 ].
% 54.96/55.17 apply (zenon_or_s _ _ zenon_H43a); [ zenon_intro zenon_H97 | zenon_intro zenon_H43b ].
% 54.96/55.17 apply (zenon_L26_); trivial.
% 54.96/55.17 apply (zenon_or_s _ _ zenon_H43b); [ zenon_intro zenon_H38e | zenon_intro zenon_H43c ].
% 54.96/55.17 apply (zenon_L590_); trivial.
% 54.96/55.17 apply (zenon_or_s _ _ zenon_H43c); [ zenon_intro zenon_Hf6 | zenon_intro zenon_Hfb ].
% 54.96/55.17 apply (zenon_L787_); trivial.
% 54.96/55.17 apply (zenon_L799_); trivial.
% 54.96/55.17 apply (zenon_L712_); trivial.
% 54.96/55.17 apply (zenon_or_s _ _ zenon_Ha7); [ zenon_intro zenon_H92 | zenon_intro zenon_Ha9 ].
% 54.96/55.17 apply (zenon_L25_); trivial.
% 54.96/55.17 apply (zenon_or_s _ _ zenon_Ha9); [ zenon_intro zenon_H97 | zenon_intro zenon_H9e ].
% 54.96/55.17 apply (zenon_L26_); trivial.
% 54.96/55.17 apply (zenon_L27_); trivial.
% 54.96/55.17 apply (zenon_L738_); trivial.
% 54.96/55.17 apply (zenon_L79_); trivial.
% 54.96/55.17 (* end of lemma zenon_L803_ *)
% 54.96/55.17 assert (zenon_L804_ : (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> ((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> ((e10) = (op1 (e11) (e11))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (~((op2 (e20) (e20)) = (e20))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> ((e20) = (op2 (e21) (e21))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e20) (e21)) = (e23))\/(((op2 (e20) (e22)) = (e23))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> ((e22) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> ((e23) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> (((op2 (e20) (e22)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e23) (e22)) = (e23))))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e10)) = (e12))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e13) (e10)) = (e12))))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> ((h2 (e12)) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> ((h2 (e13)) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> (~((h2 (op1 (e12) (e12))) = (op2 (h2 (e12)) (h2 (e12))))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> ((op1 (e11) (op1 (e11) (e12))) = (e12)) -> ((op1 (e11) (op1 (e11) (e13))) = (e13)) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> ((e12) = (op1 (op1 (op1 (e11) (e11)) (op1 (e11) (e11))) (op1 (e11) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((e12) = (e13))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (((op1 (e11) (e10)) = (e11))/\(((op1 (e10) (e11)) = (e11))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11))))/\(((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12))))/\((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13))))))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e22)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> (~((op2 (e22) (e22)) = (e21))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e22) (e22)) = (e20))\/(((op2 (e22) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e22)) = (e23))))) -> (~((op2 (e20) (e23)) = (e20))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> ((op2 (e20) (e21)) = (e21)) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> ((op2 (e21) (op2 (e21) (e22))) = (e22)) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (((op2 (e21) (e20)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/((op2 (e21) (e23)) = (e23))))) -> (~((op2 (e21) (e22)) = (op2 (e21) (e23)))) -> ((op2 (e21) (op2 (e21) (e23))) = (e23)) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e21)) = (e22))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> (((op2 (e20) (e20)) = (e22))\/(((op2 (e21) (e20)) = (e22))\/(((op2 (e22) (e20)) = (e22))\/((op2 (e23) (e20)) = (e22))))) -> (~((e20) = (e22))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e20) (e20)) = (e22))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e20)) = (e20))\/(((op2 (e22) (e20)) = (e20))\/((op2 (e23) (e20)) = (e20))))) -> False).
% 54.96/55.17 do 0 intro. intros zenon_H17 zenon_H15 zenon_H1e zenon_H25 zenon_H1a0 zenon_H19d zenon_H13 zenon_H246 zenon_H31 zenon_H32 zenon_H33 zenon_Ha5 zenon_H93 zenon_H3e zenon_H3f zenon_H3b zenon_H43a zenon_H3cb zenon_H4c3 zenon_H2c9 zenon_H18e zenon_H44f zenon_H461 zenon_H4f4 zenon_H358 zenon_H328 zenon_H204 zenon_H1cc zenon_H2b9 zenon_H23b zenon_H485 zenon_H30e zenon_H375 zenon_H29e zenon_H1f4 zenon_H1fa zenon_H21a zenon_H155 zenon_H154 zenon_H172 zenon_H179 zenon_H180 zenon_H186 zenon_H209 zenon_H15a zenon_H2e7 zenon_H236 zenon_H2ad zenon_H1e8 zenon_H259 zenon_H1a9 zenon_H1f7 zenon_H2c0 zenon_H2c2 zenon_H4c2 zenon_H437 zenon_H98 zenon_H37d zenon_H101 zenon_H40c zenon_Hfc zenon_H100 zenon_Had zenon_H3c2 zenon_Hb9 zenon_H3a8 zenon_H481 zenon_H9f zenon_H489 zenon_H399 zenon_H47a zenon_H395 zenon_H116 zenon_H3b1 zenon_H3af zenon_H60 zenon_H282 zenon_H39d zenon_H3b4 zenon_H45 zenon_H4ae zenon_Hb7 zenon_H4e2 zenon_Hb0 zenon_Hbd zenon_H4e6.
% 54.96/55.17 apply (zenon_and_s _ _ zenon_H259). zenon_intro zenon_H163. zenon_intro zenon_H25a.
% 54.96/55.17 apply (zenon_and_s _ _ zenon_H25a). zenon_intro zenon_H1fe. zenon_intro zenon_H149.
% 54.96/55.17 apply (zenon_and_s _ _ zenon_H149). zenon_intro zenon_H144. zenon_intro zenon_H14a.
% 54.96/55.17 apply (zenon_and_s _ _ zenon_H14a). zenon_intro zenon_H25c. zenon_intro zenon_H25b.
% 54.96/55.17 apply (zenon_and_s _ _ zenon_H25b). zenon_intro zenon_H25e. zenon_intro zenon_H25d.
% 54.96/55.17 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_H146 | zenon_intro zenon_H146 ].
% 54.96/55.17 apply (zenon_L803_); trivial.
% 54.96/55.17 apply (zenon_L803_); trivial.
% 54.96/55.17 (* end of lemma zenon_L804_ *)
% 54.96/55.17 assert (zenon_L805_ : (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e12)) = (e12))) -> (~((op1 (e12) (e12)) = (e11))) -> ((op1 (e10) (e12)) = (e10)) -> ((op1 (e12) (e10)) = (e10)) -> ((op1 (e11) (op1 (e11) (e10))) = (e10)) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (~((h2 (op1 (e12) (e12))) = (op2 (h2 (e12)) (h2 (e12))))) -> ((h2 (e13)) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((op2 (e22) (e22)) = (e23)) -> ((e23) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((h2 (e12)) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> ((e22) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> (~((e12) = (e13))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e12) (e13)) = (e12))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> ((op1 (e11) (op1 (e11) (e12))) = (e12)) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e11) (e11)) = (e11))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> ((e10) = (op1 (e11) (e11))) -> ((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> ((e12) = (op1 (op1 (op1 (e11) (e11)) (op1 (e11) (e11))) (op1 (e11) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e12))\/((op1 (e11) (e10)) = (e13))))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> ((op1 (e11) (op1 (e11) (e13))) = (e13)) -> ((op1 (e13) (e11)) = (e13)) -> False).
% 54.96/55.17 do 0 intro. intros zenon_H474 zenon_H1cc zenon_H1d1 zenon_H23f zenon_H18f zenon_H293 zenon_H292 zenon_H1de zenon_H1da zenon_H209 zenon_H204 zenon_H21a zenon_H23b zenon_H18e zenon_H358 zenon_H1e zenon_H2c9 zenon_H2c0 zenon_H4f4 zenon_H461 zenon_Hf6 zenon_H3b zenon_H44f zenon_H3f zenon_H236 zenon_H2ad zenon_H2e7 zenon_H186 zenon_H27d zenon_H1ed zenon_H375 zenon_H30e zenon_H32e zenon_H179 zenon_H180 zenon_H2b9 zenon_H2c2 zenon_H172 zenon_H1fa zenon_H473 zenon_H15a zenon_H13 zenon_H15 zenon_H154 zenon_H155 zenon_H1a9 zenon_H14b zenon_H15f zenon_H18a zenon_H29e zenon_H1c3.
% 54.96/55.17 apply (zenon_or_s _ _ zenon_H474); [ zenon_intro zenon_H163 | zenon_intro zenon_H475 ].
% 54.96/55.17 apply (zenon_L777_); trivial.
% 54.96/55.17 apply (zenon_or_s _ _ zenon_H475); [ zenon_intro zenon_H1a7 | zenon_intro zenon_H476 ].
% 54.96/55.17 exact (zenon_H473 zenon_H1a7).
% 54.96/55.17 apply (zenon_or_s _ _ zenon_H476); [ zenon_intro zenon_H1a8 | zenon_intro zenon_H214 ].
% 54.96/55.17 apply (zenon_L82_); trivial.
% 54.96/55.17 apply (zenon_L149_); trivial.
% 54.96/55.17 (* end of lemma zenon_L805_ *)
% 54.96/55.17 assert (zenon_L806_ : (((op2 (e20) (e22)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e23) (e22)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e22)))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> ((op1 (e13) (e11)) = (e13)) -> ((op1 (e11) (op1 (e11) (e13))) = (e13)) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e12))\/((op1 (e11) (e10)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> ((e12) = (op1 (op1 (op1 (e11) (e11)) (op1 (e11) (e11))) (op1 (e11) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> ((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) -> ((e10) = (op1 (e11) (e11))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (~((op1 (e11) (e11)) = (e11))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> ((op1 (e11) (op1 (e11) (e12))) = (e12)) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (~((op1 (e12) (e13)) = (e12))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((e12) = (e13))) -> ((e22) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> ((h2 (e12)) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> ((h2 (e13)) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> (~((h2 (op1 (e12) (e12))) = (op2 (h2 (e12)) (h2 (e12))))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> ((op1 (e11) (op1 (e11) (e10))) = (e10)) -> ((op1 (e12) (e10)) = (e10)) -> ((op1 (e10) (e12)) = (e10)) -> (~((op1 (e12) (e12)) = (e11))) -> (~((op1 (e12) (e12)) = (e12))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> ((e23) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((op2 (e21) (e21)) = (e22)) -> ((e20) = (op2 (e21) (e21))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> False).
% 54.96/55.17 do 0 intro. intros zenon_H43a zenon_H98 zenon_H437 zenon_H1c3 zenon_H29e zenon_H18a zenon_H15f zenon_H14b zenon_H1a9 zenon_H155 zenon_H154 zenon_H15 zenon_H13 zenon_H15a zenon_H473 zenon_H1fa zenon_H172 zenon_H2c2 zenon_H2b9 zenon_H180 zenon_H179 zenon_H32e zenon_H30e zenon_H375 zenon_H1ed zenon_H27d zenon_H186 zenon_H2e7 zenon_H2ad zenon_H236 zenon_H3f zenon_H44f zenon_H461 zenon_H4f4 zenon_H2c0 zenon_H2c9 zenon_H1e zenon_H358 zenon_H18e zenon_H23b zenon_H21a zenon_H204 zenon_H209 zenon_H1da zenon_H1de zenon_H292 zenon_H293 zenon_H18f zenon_H23f zenon_H1d1 zenon_H1cc zenon_H474 zenon_H3b zenon_H401 zenon_H33 zenon_H3cb.
% 54.96/55.17 apply (zenon_or_s _ _ zenon_H43a); [ zenon_intro zenon_H97 | zenon_intro zenon_H43b ].
% 54.96/55.17 apply (zenon_L26_); trivial.
% 54.96/55.17 apply (zenon_or_s _ _ zenon_H43b); [ zenon_intro zenon_H38e | zenon_intro zenon_H43c ].
% 54.96/55.17 apply (zenon_L449_); trivial.
% 54.96/55.17 apply (zenon_or_s _ _ zenon_H43c); [ zenon_intro zenon_Hf6 | zenon_intro zenon_Hfb ].
% 54.96/55.17 apply (zenon_L805_); trivial.
% 54.96/55.17 apply (zenon_L450_); trivial.
% 54.96/55.17 (* end of lemma zenon_L806_ *)
% 54.96/55.17 assert (zenon_L807_ : (((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e20)) = (e20))\/(((op2 (e22) (e20)) = (e20))\/((op2 (e23) (e20)) = (e20))))) -> (~((op2 (e20) (e20)) = (e20))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e22)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e22) (e22)) = (e21))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> (((op2 (e22) (e22)) = (e20))\/(((op2 (e22) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e22)) = (e23))))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e12)) = (e12))) -> (~((op1 (e12) (e12)) = (e11))) -> ((op1 (e10) (e12)) = (e10)) -> ((op1 (e12) (e10)) = (e10)) -> ((op1 (e11) (op1 (e11) (e10))) = (e10)) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (~((h2 (op1 (e12) (e12))) = (op2 (h2 (e12)) (h2 (e12))))) -> ((h2 (e13)) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((h2 (e12)) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> (~((e12) = (e13))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e12) (e13)) = (e12))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> ((op1 (e11) (op1 (e11) (e12))) = (e12)) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e11) (e11)) = (e11))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> ((e10) = (op1 (e11) (e11))) -> ((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> ((e12) = (op1 (op1 (op1 (e11) (e11)) (op1 (e11) (e11))) (op1 (e11) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e12))\/((op1 (e11) (e10)) = (e13))))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> ((op1 (e11) (op1 (e11) (e13))) = (e13)) -> ((op1 (e13) (e11)) = (e13)) -> (((op2 (e20) (e22)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e23) (e22)) = (e23))))) -> (((op2 (e21) (e20)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/((op2 (e21) (e23)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> (((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e21)) = (e22))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> ((op2 (e21) (op2 (e21) (e22))) = (e22)) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> ((op2 (e20) (e21)) = (e21)) -> (~((op2 (e20) (e23)) = (e20))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e21) (e22)) = (op2 (e21) (e23)))) -> ((op2 (e21) (op2 (e21) (e23))) = (e23)) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e20) (e21)) = (e23))\/(((op2 (e20) (e22)) = (e23))\/((op2 (e20) (e23)) = (e23))))) -> (((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)))) -> ((e23) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((e20) = (op2 (e21) (e21))) -> ((e22) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> (~((e20) = (e22))) -> False).
% 54.96/55.17 do 0 intro. intros zenon_H4e6 zenon_H31 zenon_H32 zenon_H9f zenon_H98 zenon_H93 zenon_H4ae zenon_H3cb zenon_H437 zenon_Hfc zenon_H40c zenon_H101 zenon_H37d zenon_H100 zenon_H474 zenon_H1cc zenon_H1d1 zenon_H23f zenon_H18f zenon_H293 zenon_H292 zenon_H1de zenon_H1da zenon_H209 zenon_H204 zenon_H21a zenon_H23b zenon_H18e zenon_H358 zenon_H1e zenon_H2c9 zenon_H2c0 zenon_H4f4 zenon_H461 zenon_H44f zenon_H236 zenon_H2ad zenon_H2e7 zenon_H186 zenon_H27d zenon_H1ed zenon_H375 zenon_H30e zenon_H32e zenon_H179 zenon_H180 zenon_H2b9 zenon_H2c2 zenon_H172 zenon_H1fa zenon_H473 zenon_H15a zenon_H13 zenon_H15 zenon_H154 zenon_H155 zenon_H1a9 zenon_H14b zenon_H15f zenon_H18a zenon_H29e zenon_H1c3 zenon_H43a zenon_H399 zenon_H45 zenon_H3af zenon_H60 zenon_H282 zenon_H39d zenon_H3b1 zenon_H116 zenon_H3b4 zenon_H481 zenon_H3a8 zenon_H3c2 zenon_Hb9 zenon_Had zenon_H489 zenon_H47a zenon_H395 zenon_Ha5 zenon_Hb7 zenon_Hbd zenon_H3e zenon_H3b zenon_H33 zenon_H3f zenon_Hb0 zenon_H4e2.
% 54.96/55.17 apply (zenon_or_s _ _ zenon_H4e6); [ zenon_intro zenon_H2d | zenon_intro zenon_H4e7 ].
% 54.96/55.17 exact (zenon_H31 zenon_H2d).
% 54.96/55.17 apply (zenon_or_s _ _ zenon_H4e7); [ zenon_intro zenon_H34 | zenon_intro zenon_H4e8 ].
% 54.96/55.17 apply (zenon_L6_); trivial.
% 54.96/55.17 apply (zenon_or_s _ _ zenon_H4e8); [ zenon_intro zenon_H121 | zenon_intro zenon_H80 ].
% 54.96/55.17 apply (zenon_or_s _ _ zenon_Ha5); [ zenon_intro zenon_Ha8 | zenon_intro zenon_Ha7 ].
% 54.96/55.17 apply (zenon_or_s _ _ zenon_H4ae); [ zenon_intro zenon_H40 | zenon_intro zenon_H4af ].
% 54.96/55.17 apply (zenon_L8_); trivial.
% 54.96/55.17 apply (zenon_or_s _ _ zenon_H4af); [ zenon_intro zenon_H401 | zenon_intro zenon_H4b0 ].
% 54.96/55.17 apply (zenon_L806_); trivial.
% 54.96/55.17 apply (zenon_or_s _ _ zenon_H4b0); [ zenon_intro zenon_Hd4 | zenon_intro zenon_H478 ].
% 54.96/55.17 apply (zenon_or_s _ _ zenon_H43a); [ zenon_intro zenon_H97 | zenon_intro zenon_H43b ].
% 54.96/55.17 apply (zenon_L26_); trivial.
% 54.96/55.17 apply (zenon_or_s _ _ zenon_H43b); [ zenon_intro zenon_H38e | zenon_intro zenon_H43c ].
% 54.96/55.17 apply (zenon_L590_); trivial.
% 54.96/55.17 apply (zenon_or_s _ _ zenon_H43c); [ zenon_intro zenon_Hf6 | zenon_intro zenon_Hfb ].
% 54.96/55.17 apply (zenon_L805_); trivial.
% 54.96/55.17 apply (zenon_L799_); trivial.
% 54.96/55.17 apply (zenon_L712_); trivial.
% 54.96/55.17 apply (zenon_or_s _ _ zenon_Ha7); [ zenon_intro zenon_H92 | zenon_intro zenon_Ha9 ].
% 54.96/55.17 apply (zenon_L25_); trivial.
% 54.96/55.17 apply (zenon_or_s _ _ zenon_Ha9); [ zenon_intro zenon_H97 | zenon_intro zenon_H9e ].
% 54.96/55.17 apply (zenon_L26_); trivial.
% 54.96/55.17 apply (zenon_L27_); trivial.
% 54.96/55.17 apply (zenon_L738_); trivial.
% 54.96/55.17 (* end of lemma zenon_L807_ *)
% 54.96/55.17 assert (zenon_L808_ : ((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13)))) -> (~((op2 (e20) (e20)) = (e20))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> ((e20) = (op2 (e21) (e21))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e20) (e21)) = (e23))\/(((op2 (e20) (e22)) = (e23))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> ((e22) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> ((e23) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> (((op2 (e20) (e22)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e23) (e22)) = (e23))))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> ((op1 (e11) (op1 (e11) (e10))) = (e10)) -> ((op1 (e12) (e10)) = (e10)) -> ((op1 (e10) (e12)) = (e10)) -> (~((op1 (e12) (e12)) = (e11))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e12) (e12)) = (e12))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> ((op1 (e11) (op1 (e11) (e13))) = (e13)) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> ((op1 (e11) (op1 (e11) (e12))) = (e12)) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((e12) = (e13))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((h2 (op1 (e12) (e12))) = (op2 (h2 (e12)) (h2 (e12))))) -> ((h2 (e13)) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((h2 (e12)) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> ((e10) = (op1 (e11) (e11))) -> ((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) -> ((e12) = (op1 (op1 (op1 (e11) (e11)) (op1 (e11) (e11))) (op1 (e11) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e11) (e11)) = (e11))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e12))\/((op1 (e11) (e10)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> ((op1 (e13) (e11)) = (e13)) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e22)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> (~((op2 (e22) (e22)) = (e21))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e22) (e22)) = (e20))\/(((op2 (e22) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e22)) = (e23))))) -> (~((op2 (e20) (e23)) = (e20))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> ((op2 (e20) (e21)) = (e21)) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> ((op2 (e21) (op2 (e21) (e22))) = (e22)) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (((op2 (e21) (e20)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/((op2 (e21) (e23)) = (e23))))) -> (~((op2 (e21) (e22)) = (op2 (e21) (e23)))) -> ((op2 (e21) (op2 (e21) (e23))) = (e23)) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e21)) = (e22))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> (((op2 (e20) (e20)) = (e22))\/(((op2 (e21) (e20)) = (e22))\/(((op2 (e22) (e20)) = (e22))\/((op2 (e23) (e20)) = (e22))))) -> (~((e20) = (e22))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e20) (e20)) = (e22))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e20)) = (e20))\/(((op2 (e22) (e20)) = (e20))\/((op2 (e23) (e20)) = (e20))))) -> False).
% 54.96/55.18 do 0 intro. intros zenon_H22c zenon_H31 zenon_H32 zenon_H33 zenon_Ha5 zenon_H93 zenon_H3e zenon_H3f zenon_H3b zenon_H43a zenon_H3cb zenon_H1fa zenon_H1de zenon_H292 zenon_H293 zenon_H18f zenon_H23f zenon_H1cc zenon_H1da zenon_H23b zenon_H1d1 zenon_H204 zenon_H172 zenon_H179 zenon_H180 zenon_H186 zenon_H21a zenon_H2c2 zenon_H2c0 zenon_H29e zenon_H32e zenon_H1ed zenon_H375 zenon_H30e zenon_H2ad zenon_H236 zenon_H2b9 zenon_H2e7 zenon_H15a zenon_H209 zenon_H1e zenon_H358 zenon_H4f4 zenon_H461 zenon_H44f zenon_H18e zenon_H2c9 zenon_H13 zenon_H15 zenon_H155 zenon_H154 zenon_H473 zenon_H15f zenon_H1a9 zenon_H14b zenon_H18a zenon_H1c3 zenon_H474 zenon_H437 zenon_H98 zenon_H37d zenon_H101 zenon_H40c zenon_Hfc zenon_H100 zenon_Had zenon_H3c2 zenon_Hb9 zenon_H3a8 zenon_H481 zenon_H9f zenon_H489 zenon_H399 zenon_H47a zenon_H395 zenon_H116 zenon_H3b1 zenon_H3af zenon_H60 zenon_H282 zenon_H39d zenon_H3b4 zenon_H45 zenon_H4ae zenon_Hb7 zenon_H4e2 zenon_Hb0 zenon_Hbd zenon_H4e6.
% 54.96/55.18 apply (zenon_or_s _ _ zenon_H22c); [ zenon_intro zenon_H27d | zenon_intro zenon_H29d ].
% 54.96/55.18 apply (zenon_L807_); trivial.
% 54.96/55.18 apply (zenon_L144_); trivial.
% 54.96/55.18 (* end of lemma zenon_L808_ *)
% 54.96/55.18 assert (zenon_L809_ : ((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12)))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e20)) = (e20))\/(((op2 (e22) (e20)) = (e20))\/((op2 (e23) (e20)) = (e20))))) -> (~((op2 (e20) (e20)) = (e22))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> (~((e20) = (e22))) -> (((op2 (e20) (e20)) = (e22))\/(((op2 (e21) (e20)) = (e22))\/(((op2 (e22) (e20)) = (e22))\/((op2 (e23) (e20)) = (e22))))) -> (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e21)) = (e22))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> ((op2 (e21) (op2 (e21) (e23))) = (e23)) -> (~((op2 (e21) (e22)) = (op2 (e21) (e23)))) -> (((op2 (e21) (e20)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/((op2 (e21) (e23)) = (e23))))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> ((op2 (e21) (op2 (e21) (e22))) = (e22)) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> ((op2 (e20) (e21)) = (e21)) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e23)) = (e20))) -> (((op2 (e22) (e22)) = (e20))\/(((op2 (e22) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e22)) = (e23))))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e22) (e22)) = (e21))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e22)))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> ((op1 (e13) (e11)) = (e13)) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e12))\/((op1 (e11) (e10)) = (e13))))) -> (~((op1 (e11) (e11)) = (e11))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> ((e12) = (op1 (op1 (op1 (e11) (e11)) (op1 (e11) (e11))) (op1 (e11) (e11)))) -> ((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) -> ((e10) = (op1 (e11) (e11))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> ((h2 (e12)) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> ((h2 (e13)) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> (~((h2 (op1 (e12) (e12))) = (op2 (h2 (e12)) (h2 (e12))))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((e12) = (e13))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> ((op1 (e11) (op1 (e11) (e12))) = (e12)) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> ((op1 (e11) (op1 (e11) (e13))) = (e13)) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e12)) = (e11))) -> ((op1 (e10) (e12)) = (e10)) -> ((op1 (e12) (e10)) = (e10)) -> ((op1 (e11) (op1 (e11) (e10))) = (e10)) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e20) (e22)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e23) (e22)) = (e23))))) -> ((e23) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((e22) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e20) (e21)) = (e23))\/(((op2 (e20) (e22)) = (e23))\/((op2 (e20) (e23)) = (e23))))) -> ((e20) = (op2 (e21) (e21))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> (~((op2 (e20) (e20)) = (e20))) -> ((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13)))) -> False).
% 54.96/55.18 do 0 intro. intros zenon_H224 zenon_H4e6 zenon_Hbd zenon_Hb0 zenon_H4e2 zenon_Hb7 zenon_H4ae zenon_H45 zenon_H3b4 zenon_H39d zenon_H282 zenon_H60 zenon_H3af zenon_H3b1 zenon_H116 zenon_H395 zenon_H47a zenon_H399 zenon_H489 zenon_H9f zenon_H481 zenon_H3a8 zenon_Hb9 zenon_H3c2 zenon_Had zenon_H100 zenon_Hfc zenon_H40c zenon_H101 zenon_H37d zenon_H98 zenon_H437 zenon_H474 zenon_H1c3 zenon_H18a zenon_H14b zenon_H1a9 zenon_H15f zenon_H473 zenon_H154 zenon_H155 zenon_H15 zenon_H13 zenon_H2c9 zenon_H18e zenon_H44f zenon_H461 zenon_H4f4 zenon_H358 zenon_H1e zenon_H209 zenon_H15a zenon_H2e7 zenon_H2b9 zenon_H236 zenon_H2ad zenon_H30e zenon_H375 zenon_H1ed zenon_H32e zenon_H29e zenon_H2c0 zenon_H2c2 zenon_H21a zenon_H186 zenon_H180 zenon_H179 zenon_H172 zenon_H204 zenon_H23b zenon_H1da zenon_H1cc zenon_H23f zenon_H18f zenon_H293 zenon_H292 zenon_H1de zenon_H1fa zenon_H3cb zenon_H43a zenon_H3b zenon_H3f zenon_H3e zenon_H93 zenon_Ha5 zenon_H33 zenon_H32 zenon_H31 zenon_H22c.
% 54.96/55.18 apply (zenon_or_s _ _ zenon_H224); [ zenon_intro zenon_H1d1 | zenon_intro zenon_H1d1 ].
% 54.96/55.18 apply (zenon_L808_); trivial.
% 54.96/55.18 apply (zenon_L808_); trivial.
% 54.96/55.18 (* end of lemma zenon_L809_ *)
% 54.96/55.18 assert (zenon_L810_ : (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (~((h2 (op1 (e12) (e12))) = (op2 (h2 (e12)) (h2 (e12))))) -> ((h2 (e13)) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((op2 (e22) (e22)) = (e23)) -> ((e23) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((h2 (e12)) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> ((e22) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> ((op1 (e12) (e11)) = (e12)) -> (~((e12) = (e13))) -> ((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e12) (e13)) = (e12))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> ((op1 (e11) (op1 (e11) (e12))) = (e12)) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> ((e12) = (op1 (op1 (op1 (e11) (e11)) (op1 (e11) (e11))) (op1 (e11) (e11)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> ((op1 (e11) (op1 (e11) (e10))) = (e10)) -> ((op1 (e12) (e10)) = (e10)) -> ((op1 (e11) (e10)) = (e11)) -> ((op1 (e10) (e12)) = (e10)) -> ((e10) = (op1 (e11) (e11))) -> (~((op1 (e12) (e12)) = (e11))) -> (~((op1 (e12) (e12)) = (e12))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> ((op1 (e11) (op1 (e11) (e13))) = (e13)) -> False).
% 54.96/55.18 do 0 intro. intros zenon_H1fa zenon_H154 zenon_H358 zenon_H2c0 zenon_H4f4 zenon_H461 zenon_Hf6 zenon_H3b zenon_H44f zenon_H3f zenon_H202 zenon_H236 zenon_H15 zenon_H2ad zenon_H2e7 zenon_H186 zenon_H27d zenon_H1ed zenon_H375 zenon_H30e zenon_H32e zenon_H172 zenon_H179 zenon_H155 zenon_H180 zenon_H2b9 zenon_H15a zenon_H2c2 zenon_H1da zenon_H1de zenon_H292 zenon_H293 zenon_H163 zenon_H18f zenon_H13 zenon_H23f zenon_H1d1 zenon_H1cc zenon_H29e.
% 54.96/55.18 apply (zenon_or_s _ _ zenon_H1fa); [ zenon_intro zenon_H156 | zenon_intro zenon_H1fb ].
% 54.96/55.18 apply (zenon_L63_); trivial.
% 54.96/55.18 apply (zenon_or_s _ _ zenon_H1fb); [ zenon_intro zenon_H1b8 | zenon_intro zenon_H1fc ].
% 54.96/55.18 apply (zenon_L790_); trivial.
% 54.96/55.18 apply (zenon_or_s _ _ zenon_H1fc); [ zenon_intro zenon_H1c6 | zenon_intro zenon_H1ec ].
% 54.96/55.18 apply (zenon_L776_); trivial.
% 54.96/55.18 apply (zenon_L500_); trivial.
% 54.96/55.18 (* end of lemma zenon_L810_ *)
% 54.96/55.18 assert (zenon_L811_ : (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> ((op1 (e11) (op1 (e11) (e13))) = (e13)) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> ((op1 (e12) (e11)) = (e12)) -> (~((e12) = (e13))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((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)) = (op1 (e11) (e10)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e12)) = (e11))) -> ((op1 (e11) (op1 (e11) (e10))) = (e10)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> ((op1 (e11) (op1 (e11) (e11))) = (e11)) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e12))\/((op1 (e11) (e10)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> ((op1 (e11) (op1 (e11) (e12))) = (e12)) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e12) (e13)) = (e12))) -> (~((op1 (e12) (e12)) = (e12))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> ((e12) = (op1 (op1 (op1 (e11) (e11)) (op1 (e11) (e11))) (op1 (e11) (e11)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> ((e22) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> ((h2 (e12)) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> ((e23) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((op2 (e22) (e22)) = (e23)) -> ((h2 (e13)) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> (~((h2 (op1 (e12) (e12))) = (op2 (h2 (e12)) (h2 (e12))))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e11)) = (e11))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> ((op1 (e12) (e10)) = (e10)) -> ((op1 (e10) (e12)) = (e10)) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> ((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) -> ((e10) = (op1 (e11) (e11))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> False).
% 54.96/55.18 do 0 intro. intros zenon_H1a0 zenon_H29e zenon_H18a zenon_H202 zenon_H236 zenon_H2e7 zenon_H2ad zenon_H1cc zenon_H2b9 zenon_H313 zenon_H2c2 zenon_H204 zenon_H316 zenon_H301 zenon_H1fd zenon_H2f8 zenon_H360 zenon_H19d zenon_H206 zenon_H15a zenon_H154 zenon_H2b1 zenon_H1d8 zenon_H23f zenon_H292 zenon_H2a3 zenon_H1da zenon_H2a6 zenon_H2a5 zenon_H14b zenon_H15f zenon_H1b1 zenon_H1be zenon_H180 zenon_H179 zenon_H172 zenon_H32e zenon_H375 zenon_H1ed zenon_H186 zenon_H30e zenon_H27d zenon_H1d1 zenon_H21a zenon_H155 zenon_H23b zenon_H358 zenon_H3f zenon_H44f zenon_H3b zenon_Hf6 zenon_H461 zenon_H4f4 zenon_H2c0 zenon_H1fa zenon_H1a9 zenon_H473 zenon_H1de zenon_H293 zenon_H18f zenon_H474 zenon_H17 zenon_H1e zenon_H15 zenon_H13 zenon_H25.
% 54.96/55.18 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_H1a3 | zenon_intro zenon_H1a2 ].
% 54.96/55.18 apply (zenon_or_s _ _ zenon_H474); [ zenon_intro zenon_H163 | zenon_intro zenon_H475 ].
% 54.96/55.18 apply (zenon_L810_); trivial.
% 54.96/55.18 apply (zenon_or_s _ _ zenon_H475); [ zenon_intro zenon_H1a7 | zenon_intro zenon_H476 ].
% 54.96/55.18 exact (zenon_H473 zenon_H1a7).
% 54.96/55.18 apply (zenon_or_s _ _ zenon_H476); [ zenon_intro zenon_H1a8 | zenon_intro zenon_H214 ].
% 54.96/55.18 apply (zenon_L82_); trivial.
% 54.96/55.18 apply (zenon_or_s _ _ zenon_H1fa); [ zenon_intro zenon_H156 | zenon_intro zenon_H1fb ].
% 54.96/55.18 apply (zenon_L63_); trivial.
% 54.96/55.18 apply (zenon_or_s _ _ zenon_H1fb); [ zenon_intro zenon_H1b8 | zenon_intro zenon_H1fc ].
% 54.96/55.18 apply (zenon_L790_); trivial.
% 54.96/55.18 apply (zenon_or_s _ _ zenon_H1fc); [ zenon_intro zenon_H1c6 | zenon_intro zenon_H1ec ].
% 54.96/55.18 apply (zenon_L506_); trivial.
% 54.96/55.18 apply (zenon_L508_); trivial.
% 54.96/55.18 apply (zenon_or_s _ _ zenon_H1a2); [ zenon_intro zenon_H16 | zenon_intro zenon_H1a4 ].
% 54.96/55.18 apply (zenon_L2_); trivial.
% 54.96/55.18 apply (zenon_or_s _ _ zenon_H1a4); [ zenon_intro zenon_H1d | zenon_intro zenon_H24 ].
% 54.96/55.18 apply (zenon_L3_); trivial.
% 54.96/55.18 apply (zenon_L4_); trivial.
% 54.96/55.18 (* end of lemma zenon_L811_ *)
% 54.96/55.18 assert (zenon_L812_ : (((op2 (e20) (e22)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e23) (e22)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e22)))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> ((e10) = (op1 (e11) (e11))) -> ((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> ((op1 (e10) (e12)) = (e10)) -> ((op1 (e12) (e10)) = (e10)) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e11)) = (e11))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (~((h2 (op1 (e12) (e12))) = (op2 (h2 (e12)) (h2 (e12))))) -> ((h2 (e13)) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((h2 (e12)) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> ((e22) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> ((e12) = (op1 (op1 (op1 (e11) (e11)) (op1 (e11) (e11))) (op1 (e11) (e11)))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e12) (e12)) = (e12))) -> (~((op1 (e12) (e13)) = (e12))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> ((op1 (e11) (op1 (e11) (e12))) = (e12)) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e12))\/((op1 (e11) (e10)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> ((op1 (e11) (op1 (e11) (e11))) = (e11)) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> ((op1 (e11) (op1 (e11) (e10))) = (e10)) -> (~((op1 (e12) (e12)) = (e11))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e11)) = (e12))\/((op1 (e10) (e11)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e11) (e11)) = (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 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((e12) = (e13))) -> ((op1 (e12) (e11)) = (e12)) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> ((op1 (e11) (op1 (e11) (e13))) = (e13)) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> ((e23) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((op2 (e21) (e21)) = (e22)) -> ((e20) = (op2 (e21) (e21))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> False).
% 54.96/55.18 do 0 intro. intros zenon_H43a zenon_H98 zenon_H437 zenon_H25 zenon_H13 zenon_H15 zenon_H1e zenon_H17 zenon_H474 zenon_H18f zenon_H293 zenon_H1de zenon_H473 zenon_H1a9 zenon_H1fa zenon_H2c0 zenon_H4f4 zenon_H461 zenon_H44f zenon_H3f zenon_H358 zenon_H23b zenon_H155 zenon_H21a zenon_H1d1 zenon_H27d zenon_H30e zenon_H186 zenon_H1ed zenon_H375 zenon_H32e zenon_H172 zenon_H179 zenon_H180 zenon_H1be zenon_H1b1 zenon_H15f zenon_H14b zenon_H2a5 zenon_H2a6 zenon_H1da zenon_H2a3 zenon_H292 zenon_H23f zenon_H1d8 zenon_H2b1 zenon_H154 zenon_H15a zenon_H206 zenon_H19d zenon_H360 zenon_H2f8 zenon_H1fd zenon_H301 zenon_H316 zenon_H204 zenon_H2c2 zenon_H313 zenon_H2b9 zenon_H1cc zenon_H2ad zenon_H2e7 zenon_H236 zenon_H202 zenon_H18a zenon_H29e zenon_H1a0 zenon_H3b zenon_H401 zenon_H33 zenon_H3cb.
% 54.96/55.18 apply (zenon_or_s _ _ zenon_H43a); [ zenon_intro zenon_H97 | zenon_intro zenon_H43b ].
% 54.96/55.18 apply (zenon_L26_); trivial.
% 54.96/55.18 apply (zenon_or_s _ _ zenon_H43b); [ zenon_intro zenon_H38e | zenon_intro zenon_H43c ].
% 54.96/55.18 apply (zenon_L449_); trivial.
% 54.96/55.18 apply (zenon_or_s _ _ zenon_H43c); [ zenon_intro zenon_Hf6 | zenon_intro zenon_Hfb ].
% 54.96/55.18 apply (zenon_L811_); trivial.
% 54.96/55.18 apply (zenon_L450_); trivial.
% 54.96/55.18 (* end of lemma zenon_L812_ *)
% 54.96/55.18 assert (zenon_L813_ : (((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e20)) = (e20))\/(((op2 (e22) (e20)) = (e20))\/((op2 (e23) (e20)) = (e20))))) -> (~((op2 (e20) (e20)) = (e20))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e22)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e22) (e22)) = (e21))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> (((op2 (e22) (e22)) = (e20))\/(((op2 (e22) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e22)) = (e23))))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> ((op1 (e11) (op1 (e11) (e13))) = (e13)) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> ((op1 (e12) (e11)) = (e12)) -> (~((e12) = (e13))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((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)) = (op1 (e11) (e10)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e12)) = (e11))) -> ((op1 (e11) (op1 (e11) (e10))) = (e10)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> ((op1 (e11) (op1 (e11) (e11))) = (e11)) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e12))\/((op1 (e11) (e10)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> ((op1 (e11) (op1 (e11) (e12))) = (e12)) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e12) (e13)) = (e12))) -> (~((op1 (e12) (e12)) = (e12))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> ((e12) = (op1 (op1 (op1 (e11) (e11)) (op1 (e11) (e11))) (op1 (e11) (e11)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> ((h2 (e12)) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> ((h2 (e13)) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> (~((h2 (op1 (e12) (e12))) = (op2 (h2 (e12)) (h2 (e12))))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e11)) = (e11))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> ((op1 (e12) (e10)) = (e10)) -> ((op1 (e10) (e12)) = (e10)) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> ((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) -> ((e10) = (op1 (e11) (e11))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((op2 (e20) (e22)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e23) (e22)) = (e23))))) -> (((op2 (e21) (e20)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/((op2 (e21) (e23)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> (((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e21)) = (e22))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> ((op2 (e21) (op2 (e21) (e22))) = (e22)) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> ((op2 (e20) (e21)) = (e21)) -> (~((op2 (e20) (e23)) = (e20))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e21) (e22)) = (op2 (e21) (e23)))) -> ((op2 (e21) (op2 (e21) (e23))) = (e23)) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e20) (e21)) = (e23))\/(((op2 (e20) (e22)) = (e23))\/((op2 (e20) (e23)) = (e23))))) -> (((op2 (e23) (e20)) = (e22))\/(((op2 (e23) (e21)) = (e22))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((e20) = (e22))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> ((e22) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> ((e20) = (op2 (e21) (e21))) -> ((e23) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> False).
% 54.96/55.18 do 0 intro. intros zenon_H4e6 zenon_H31 zenon_H32 zenon_H9f zenon_H98 zenon_H93 zenon_H4ae zenon_H3e zenon_H3cb zenon_H437 zenon_Hfc zenon_H40c zenon_H101 zenon_H37d zenon_H100 zenon_H1a0 zenon_H29e zenon_H18a zenon_H202 zenon_H236 zenon_H2e7 zenon_H2ad zenon_H1cc zenon_H2b9 zenon_H313 zenon_H2c2 zenon_H204 zenon_H316 zenon_H301 zenon_H1fd zenon_H2f8 zenon_H360 zenon_H19d zenon_H206 zenon_H15a zenon_H154 zenon_H2b1 zenon_H1d8 zenon_H23f zenon_H292 zenon_H2a3 zenon_H1da zenon_H2a6 zenon_H2a5 zenon_H14b zenon_H15f zenon_H1b1 zenon_H1be zenon_H180 zenon_H179 zenon_H172 zenon_H32e zenon_H375 zenon_H1ed zenon_H186 zenon_H30e zenon_H27d zenon_H1d1 zenon_H21a zenon_H155 zenon_H23b zenon_H358 zenon_H44f zenon_H461 zenon_H4f4 zenon_H2c0 zenon_H1fa zenon_H1a9 zenon_H473 zenon_H1de zenon_H293 zenon_H18f zenon_H474 zenon_H17 zenon_H1e zenon_H15 zenon_H13 zenon_H25 zenon_H43a zenon_H399 zenon_H45 zenon_H3af zenon_H282 zenon_H39d zenon_H3b1 zenon_H116 zenon_H3b4 zenon_H481 zenon_H3a8 zenon_H3c2 zenon_Hb9 zenon_Had zenon_H489 zenon_H47a zenon_H395 zenon_Ha5 zenon_H74 zenon_H4e2 zenon_H60 zenon_H67 zenon_H3f zenon_H33 zenon_H3b zenon_H6e.
% 54.96/55.18 apply (zenon_or_s _ _ zenon_H4e6); [ zenon_intro zenon_H2d | zenon_intro zenon_H4e7 ].
% 54.96/55.18 exact (zenon_H31 zenon_H2d).
% 54.96/55.18 apply (zenon_or_s _ _ zenon_H4e7); [ zenon_intro zenon_H34 | zenon_intro zenon_H4e8 ].
% 54.96/55.18 apply (zenon_L6_); trivial.
% 54.96/55.18 apply (zenon_or_s _ _ zenon_H4e8); [ zenon_intro zenon_H121 | zenon_intro zenon_H80 ].
% 54.96/55.18 apply (zenon_or_s _ _ zenon_Ha5); [ zenon_intro zenon_Ha8 | zenon_intro zenon_Ha7 ].
% 54.96/55.18 apply (zenon_or_s _ _ zenon_H4ae); [ zenon_intro zenon_H40 | zenon_intro zenon_H4af ].
% 54.96/55.18 apply (zenon_L8_); trivial.
% 54.96/55.18 apply (zenon_or_s _ _ zenon_H4af); [ zenon_intro zenon_H401 | zenon_intro zenon_H4b0 ].
% 54.96/55.18 apply (zenon_L812_); trivial.
% 54.96/55.18 apply (zenon_or_s _ _ zenon_H4b0); [ zenon_intro zenon_Hd4 | zenon_intro zenon_H478 ].
% 54.96/55.18 apply (zenon_or_s _ _ zenon_H43a); [ zenon_intro zenon_H97 | zenon_intro zenon_H43b ].
% 54.96/55.18 apply (zenon_L26_); trivial.
% 54.96/55.18 apply (zenon_or_s _ _ zenon_H43b); [ zenon_intro zenon_H38e | zenon_intro zenon_H43c ].
% 54.96/55.18 apply (zenon_L590_); trivial.
% 54.96/55.18 apply (zenon_or_s _ _ zenon_H43c); [ zenon_intro zenon_Hf6 | zenon_intro zenon_Hfb ].
% 54.96/55.18 apply (zenon_L811_); trivial.
% 54.96/55.18 apply (zenon_L799_); trivial.
% 54.96/55.18 apply (zenon_L712_); trivial.
% 54.96/55.18 apply (zenon_or_s _ _ zenon_Ha7); [ zenon_intro zenon_H92 | zenon_intro zenon_Ha9 ].
% 54.96/55.18 apply (zenon_L25_); trivial.
% 54.96/55.18 apply (zenon_or_s _ _ zenon_Ha9); [ zenon_intro zenon_H97 | zenon_intro zenon_H9e ].
% 54.96/55.18 apply (zenon_L26_); trivial.
% 54.96/55.18 apply (zenon_L27_); trivial.
% 54.96/55.18 apply (zenon_L736_); trivial.
% 54.96/55.18 (* end of lemma zenon_L813_ *)
% 54.96/55.18 assert (zenon_L814_ : ((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13)))) -> (~((op2 (e20) (e20)) = (e20))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> ((e20) = (op2 (e21) (e21))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e20) (e21)) = (e23))\/(((op2 (e20) (e22)) = (e23))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> ((e22) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> ((e23) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> (((op2 (e20) (e22)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e23) (e22)) = (e23))))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> ((op1 (e11) (op1 (e11) (e11))) = (e11)) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e11)) = (e12))\/((op1 (e10) (e11)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e12))\/((op1 (e11) (e10)) = (e13))))) -> (~((op1 (e11) (e11)) = (e11))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> ((e12) = (op1 (op1 (op1 (e11) (e11)) (op1 (e11) (e11))) (op1 (e11) (e11)))) -> ((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) -> ((e10) = (op1 (e11) (e11))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> ((op1 (e11) (op1 (e11) (e13))) = (e13)) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((e12) = (e13))) -> ((op1 (e12) (e11)) = (e12)) -> (~((h2 (op1 (e12) (e12))) = (op2 (h2 (e12)) (h2 (e12))))) -> ((h2 (e13)) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((h2 (e12)) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> ((op1 (e11) (op1 (e11) (e12))) = (e12)) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e12)) = (e12))) -> (~((op1 (e12) (e12)) = (e11))) -> ((op1 (e10) (e12)) = (e10)) -> ((op1 (e12) (e10)) = (e10)) -> ((op1 (e11) (op1 (e11) (e10))) = (e10)) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e22)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> (~((op2 (e22) (e22)) = (e21))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e22) (e22)) = (e20))\/(((op2 (e22) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e22)) = (e23))))) -> (~((op2 (e20) (e23)) = (e20))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> ((op2 (e20) (e21)) = (e21)) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> ((op2 (e21) (op2 (e21) (e22))) = (e22)) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (((op2 (e21) (e20)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/((op2 (e21) (e23)) = (e23))))) -> (~((op2 (e21) (e22)) = (op2 (e21) (e23)))) -> ((op2 (e21) (op2 (e21) (e23))) = (e23)) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e21)) = (e22))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> (((op2 (e23) (e20)) = (e22))\/(((op2 (e23) (e21)) = (e22))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (~((e20) = (e22))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e20)) = (e20))\/(((op2 (e22) (e20)) = (e20))\/((op2 (e23) (e20)) = (e20))))) -> False).
% 54.96/55.18 do 0 intro. intros zenon_H22c zenon_H31 zenon_H32 zenon_H33 zenon_Ha5 zenon_H93 zenon_H3e zenon_H3f zenon_H3b zenon_H43a zenon_H3cb zenon_H474 zenon_H313 zenon_H21a zenon_H1b1 zenon_H18a zenon_H2b1 zenon_H2a6 zenon_H2a5 zenon_H2a3 zenon_H1d8 zenon_H206 zenon_H17 zenon_H204 zenon_H23b zenon_H301 zenon_H2f8 zenon_H1fd zenon_H360 zenon_H316 zenon_H19d zenon_H1be zenon_H14b zenon_H1a9 zenon_H15f zenon_H473 zenon_H154 zenon_H155 zenon_H15 zenon_H13 zenon_H2c2 zenon_H2c0 zenon_H29e zenon_H358 zenon_H2ad zenon_H236 zenon_H202 zenon_H4f4 zenon_H461 zenon_H44f zenon_H2b9 zenon_H2e7 zenon_H15a zenon_H32e zenon_H180 zenon_H1ed zenon_H375 zenon_H30e zenon_H172 zenon_H179 zenon_H186 zenon_H1da zenon_H1cc zenon_H1d1 zenon_H23f zenon_H18f zenon_H293 zenon_H292 zenon_H1de zenon_H1fa zenon_H1e zenon_H25 zenon_H1a0 zenon_H437 zenon_H98 zenon_H37d zenon_H101 zenon_H40c zenon_Hfc zenon_H100 zenon_Had zenon_H3c2 zenon_Hb9 zenon_H3a8 zenon_H481 zenon_H9f zenon_H489 zenon_H399 zenon_H47a zenon_H395 zenon_H116 zenon_H3b1 zenon_H3af zenon_H60 zenon_H282 zenon_H39d zenon_H3b4 zenon_H45 zenon_H4ae zenon_H74 zenon_H6e zenon_H67 zenon_H4e2 zenon_H4e6.
% 54.96/55.18 apply (zenon_or_s _ _ zenon_H22c); [ zenon_intro zenon_H27d | zenon_intro zenon_H29d ].
% 54.96/55.18 apply (zenon_L813_); trivial.
% 54.96/55.18 apply (zenon_L144_); trivial.
% 54.96/55.18 (* end of lemma zenon_L814_ *)
% 54.96/55.18 assert (zenon_L815_ : (((op2 (e20) (e22)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e23) (e22)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e22)))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> ((op1 (e11) (op1 (e11) (e13))) = (e13)) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> ((op1 (e11) (op1 (e11) (e12))) = (e12)) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> ((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) -> ((e10) = (op1 (e11) (e11))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> ((e12) = (op1 (op1 (op1 (e11) (e11)) (op1 (e11) (e11))) (op1 (e11) (e11)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((e12) = (e13))) -> ((op1 (e12) (e11)) = (e12)) -> ((e22) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> ((h2 (e12)) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> ((h2 (e13)) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> (~((h2 (op1 (e12) (e12))) = (op2 (h2 (e12)) (h2 (e12))))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e10) (e10)) = (e12))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e10)) = (e12))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e13) (e10)) = (e12))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (e10))) -> ((op1 (e10) (e11)) = (e11)) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> ((e23) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((op2 (e21) (e21)) = (e22)) -> ((e20) = (op2 (e21) (e21))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> False).
% 54.96/55.18 do 0 intro. intros zenon_H43a zenon_H98 zenon_H437 zenon_H29e zenon_H1f4 zenon_H1cc zenon_H375 zenon_H30e zenon_H15 zenon_H13 zenon_H1e zenon_H2c9 zenon_H2c2 zenon_H15a zenon_H2b9 zenon_H23b zenon_H21a zenon_H155 zenon_H2e7 zenon_H2ad zenon_H236 zenon_H202 zenon_H3f zenon_H44f zenon_H461 zenon_H4f4 zenon_H2c0 zenon_H358 zenon_H154 zenon_H1fa zenon_H4c4 zenon_H4c3 zenon_H180 zenon_H179 zenon_H172 zenon_H186 zenon_H328 zenon_H25f zenon_H1fe zenon_H485 zenon_H25 zenon_H204 zenon_H4c2 zenon_H3b zenon_H401 zenon_H33 zenon_H3cb.
% 54.96/55.18 apply (zenon_or_s _ _ zenon_H43a); [ zenon_intro zenon_H97 | zenon_intro zenon_H43b ].
% 54.96/55.18 apply (zenon_L26_); trivial.
% 54.96/55.18 apply (zenon_or_s _ _ zenon_H43b); [ zenon_intro zenon_H38e | zenon_intro zenon_H43c ].
% 54.96/55.18 apply (zenon_L449_); trivial.
% 54.96/55.18 apply (zenon_or_s _ _ zenon_H43c); [ zenon_intro zenon_Hf6 | zenon_intro zenon_Hfb ].
% 54.96/55.18 apply (zenon_L792_); trivial.
% 54.96/55.18 apply (zenon_L450_); trivial.
% 54.96/55.18 (* end of lemma zenon_L815_ *)
% 54.96/55.18 assert (zenon_L816_ : ((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12)))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e20)) = (e20))\/(((op2 (e22) (e20)) = (e20))\/((op2 (e23) (e20)) = (e20))))) -> (~((e20) = (e22))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (((op2 (e23) (e20)) = (e22))\/(((op2 (e23) (e21)) = (e22))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e21)) = (e22))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> ((op2 (e21) (op2 (e21) (e23))) = (e23)) -> (~((op2 (e21) (e22)) = (op2 (e21) (e23)))) -> (((op2 (e21) (e20)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/((op2 (e21) (e23)) = (e23))))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> ((op2 (e21) (op2 (e21) (e22))) = (e22)) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> ((op2 (e20) (e21)) = (e21)) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e23)) = (e20))) -> (((op2 (e22) (e22)) = (e20))\/(((op2 (e22) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e22)) = (e23))))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e22) (e22)) = (e21))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e22)))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> ((op1 (e11) (op1 (e11) (e13))) = (e13)) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((e12) = (e13))) -> (~((h2 (op1 (e12) (e12))) = (op2 (h2 (e12)) (h2 (e12))))) -> ((h2 (e13)) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((h2 (e12)) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> ((op1 (e11) (op1 (e11) (e12))) = (e12)) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> ((op1 (e10) (e11)) = (e11)) -> (~((op1 (e10) (e11)) = (op1 (e10) (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 (op1 (op1 (e11) (e11)) (op1 (e11) (e11))) (op1 (e11) (e11)))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> ((op1 (e12) (e11)) = (e12)) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e10)) = (e12))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e13) (e10)) = (e12))))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e20) (e22)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e23) (e22)) = (e23))))) -> ((e23) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((e22) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e20) (e21)) = (e23))\/(((op2 (e20) (e22)) = (e23))\/((op2 (e20) (e23)) = (e23))))) -> ((e20) = (op2 (e21) (e21))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> (~((op2 (e20) (e20)) = (e20))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> ((e10) = (op1 (e11) (e11))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (~((op1 (e10) (e10)) = (e10))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> ((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> ((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))) -> False).
% 54.96/55.18 do 0 intro. intros zenon_H25e zenon_H4e6 zenon_H4e2 zenon_H67 zenon_H6e zenon_H74 zenon_H4ae zenon_H45 zenon_H3b4 zenon_H39d zenon_H282 zenon_H60 zenon_H3af zenon_H3b1 zenon_H116 zenon_H395 zenon_H47a zenon_H399 zenon_H489 zenon_H9f zenon_H481 zenon_H3a8 zenon_Hb9 zenon_H3c2 zenon_Had zenon_H100 zenon_Hfc zenon_H40c zenon_H101 zenon_H37d zenon_H98 zenon_H437 zenon_H4c2 zenon_H23b zenon_H2c2 zenon_H2c0 zenon_H29e zenon_H358 zenon_H2ad zenon_H236 zenon_H4f4 zenon_H461 zenon_H44f zenon_H2b9 zenon_H2e7 zenon_H15a zenon_H186 zenon_H180 zenon_H179 zenon_H172 zenon_H328 zenon_H30e zenon_H375 zenon_H1cc zenon_H1f4 zenon_H2c9 zenon_H1fe zenon_H485 zenon_H1fa zenon_H154 zenon_H155 zenon_H21a zenon_H204 zenon_H202 zenon_H4c3 zenon_H3cb zenon_H43a zenon_H3b zenon_H3f zenon_H3e zenon_H93 zenon_Ha5 zenon_H33 zenon_H32 zenon_H31 zenon_H246 zenon_H13 zenon_H19d zenon_H146 zenon_H1a0 zenon_H25 zenon_H1e zenon_H15 zenon_H17 zenon_H25d.
% 54.96/55.18 apply (zenon_or_s _ _ zenon_H25e); [ zenon_intro zenon_H458 | zenon_intro zenon_H4c4 ].
% 54.96/55.18 apply (zenon_L629_); trivial.
% 54.96/55.18 apply (zenon_or_s _ _ zenon_H25d); [ zenon_intro zenon_H25f | zenon_intro zenon_H1a1 ].
% 54.96/55.18 apply (zenon_or_s _ _ zenon_H4e6); [ zenon_intro zenon_H2d | zenon_intro zenon_H4e7 ].
% 54.96/55.18 exact (zenon_H31 zenon_H2d).
% 54.96/55.18 apply (zenon_or_s _ _ zenon_H4e7); [ zenon_intro zenon_H34 | zenon_intro zenon_H4e8 ].
% 54.96/55.18 apply (zenon_L6_); trivial.
% 54.96/55.18 apply (zenon_or_s _ _ zenon_H4e8); [ zenon_intro zenon_H121 | zenon_intro zenon_H80 ].
% 54.96/55.18 apply (zenon_or_s _ _ zenon_Ha5); [ zenon_intro zenon_Ha8 | zenon_intro zenon_Ha7 ].
% 54.96/55.18 apply (zenon_or_s _ _ zenon_H4ae); [ zenon_intro zenon_H40 | zenon_intro zenon_H4af ].
% 54.96/55.18 apply (zenon_L8_); trivial.
% 54.96/55.18 apply (zenon_or_s _ _ zenon_H4af); [ zenon_intro zenon_H401 | zenon_intro zenon_H4b0 ].
% 54.96/55.18 apply (zenon_L815_); trivial.
% 54.96/55.18 apply (zenon_or_s _ _ zenon_H4b0); [ zenon_intro zenon_Hd4 | zenon_intro zenon_H478 ].
% 54.96/55.18 apply (zenon_or_s _ _ zenon_H43a); [ zenon_intro zenon_H97 | zenon_intro zenon_H43b ].
% 54.96/55.18 apply (zenon_L26_); trivial.
% 54.96/55.18 apply (zenon_or_s _ _ zenon_H43b); [ zenon_intro zenon_H38e | zenon_intro zenon_H43c ].
% 54.96/55.18 apply (zenon_L590_); trivial.
% 54.96/55.18 apply (zenon_or_s _ _ zenon_H43c); [ zenon_intro zenon_Hf6 | zenon_intro zenon_Hfb ].
% 54.96/55.18 apply (zenon_L792_); trivial.
% 54.96/55.18 apply (zenon_L799_); trivial.
% 54.96/55.18 apply (zenon_L712_); trivial.
% 54.96/55.18 apply (zenon_or_s _ _ zenon_Ha7); [ zenon_intro zenon_H92 | zenon_intro zenon_Ha9 ].
% 54.96/55.18 apply (zenon_L25_); trivial.
% 54.96/55.18 apply (zenon_or_s _ _ zenon_Ha9); [ zenon_intro zenon_H97 | zenon_intro zenon_H9e ].
% 54.96/55.18 apply (zenon_L26_); trivial.
% 54.96/55.18 apply (zenon_L27_); trivial.
% 54.96/55.18 apply (zenon_L736_); trivial.
% 54.96/55.18 apply (zenon_L79_); trivial.
% 54.96/55.18 (* end of lemma zenon_L816_ *)
% 54.96/55.18 assert (zenon_L817_ : (((op1 (e11) (e10)) = (e11))/\(((op1 (e10) (e11)) = (e11))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11))))/\(((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12))))/\((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13))))))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> ((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> ((e10) = (op1 (e11) (e11))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (~((op2 (e20) (e20)) = (e20))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> ((e20) = (op2 (e21) (e21))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e20) (e21)) = (e23))\/(((op2 (e20) (e22)) = (e23))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> ((e22) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> ((e23) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> (((op2 (e20) (e22)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e23) (e22)) = (e23))))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (((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)))) -> ((e12) = (op1 (op1 (op1 (e11) (e11)) (op1 (e11) (e11))) (op1 (e11) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> ((op1 (e11) (op1 (e11) (e12))) = (e12)) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> ((h2 (e12)) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> ((h2 (e13)) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> (~((h2 (op1 (e12) (e12))) = (op2 (h2 (e12)) (h2 (e12))))) -> (~((e12) = (e13))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> ((op1 (e11) (op1 (e11) (e13))) = (e13)) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (((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))))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e22)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> (~((op2 (e22) (e22)) = (e21))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e22) (e22)) = (e20))\/(((op2 (e22) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e22)) = (e23))))) -> (~((op2 (e20) (e23)) = (e20))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> ((op2 (e20) (e21)) = (e21)) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> ((op2 (e21) (op2 (e21) (e22))) = (e22)) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (((op2 (e21) (e20)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/((op2 (e21) (e23)) = (e23))))) -> (~((op2 (e21) (e22)) = (op2 (e21) (e23)))) -> ((op2 (e21) (op2 (e21) (e23))) = (e23)) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e21)) = (e22))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> (((op2 (e23) (e20)) = (e22))\/(((op2 (e23) (e21)) = (e22))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (~((e20) = (e22))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e20)) = (e20))\/(((op2 (e22) (e20)) = (e20))\/((op2 (e23) (e20)) = (e20))))) -> False).
% 54.96/55.18 do 0 intro. intros zenon_H259 zenon_H17 zenon_H15 zenon_H1e zenon_H25 zenon_H1a0 zenon_H19d zenon_H13 zenon_H246 zenon_H31 zenon_H32 zenon_H33 zenon_Ha5 zenon_H93 zenon_H3e zenon_H3f zenon_H3b zenon_H43a zenon_H3cb zenon_H4c3 zenon_H202 zenon_H204 zenon_H21a zenon_H155 zenon_H154 zenon_H1fa zenon_H485 zenon_H2c9 zenon_H1f4 zenon_H1cc zenon_H375 zenon_H30e zenon_H328 zenon_H172 zenon_H179 zenon_H180 zenon_H186 zenon_H15a zenon_H2e7 zenon_H2b9 zenon_H44f zenon_H461 zenon_H4f4 zenon_H236 zenon_H2ad zenon_H358 zenon_H29e zenon_H2c0 zenon_H2c2 zenon_H23b zenon_H4c2 zenon_H437 zenon_H98 zenon_H37d zenon_H101 zenon_H40c zenon_Hfc zenon_H100 zenon_Had zenon_H3c2 zenon_Hb9 zenon_H3a8 zenon_H481 zenon_H9f zenon_H489 zenon_H399 zenon_H47a zenon_H395 zenon_H116 zenon_H3b1 zenon_H3af zenon_H60 zenon_H282 zenon_H39d zenon_H3b4 zenon_H45 zenon_H4ae zenon_H74 zenon_H6e zenon_H67 zenon_H4e2 zenon_H4e6.
% 54.96/55.18 apply (zenon_and_s _ _ zenon_H259). zenon_intro zenon_H163. zenon_intro zenon_H25a.
% 54.96/55.18 apply (zenon_and_s _ _ zenon_H25a). zenon_intro zenon_H1fe. zenon_intro zenon_H149.
% 54.96/55.18 apply (zenon_and_s _ _ zenon_H149). zenon_intro zenon_H144. zenon_intro zenon_H14a.
% 54.96/55.18 apply (zenon_and_s _ _ zenon_H14a). zenon_intro zenon_H25c. zenon_intro zenon_H25b.
% 54.96/55.18 apply (zenon_and_s _ _ zenon_H25b). zenon_intro zenon_H25e. zenon_intro zenon_H25d.
% 54.96/55.18 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_H146 | zenon_intro zenon_H146 ].
% 54.96/55.18 apply (zenon_L816_); trivial.
% 54.96/55.18 apply (zenon_L816_); trivial.
% 54.96/55.18 (* end of lemma zenon_L817_ *)
% 54.96/55.18 assert (zenon_L818_ : ((~((op2 (e20) (e22)) = (e20)))\/(~((op2 (e20) (e20)) = (e22)))) -> ((((op1 (e10) (op1 (e10) (e10))) = (e10))/\(((op1 (e10) (op1 (e10) (e11))) = (e11))/\(((op1 (e10) (op1 (e10) (e12))) = (e12))/\(((op1 (e10) (op1 (e10) (e13))) = (e13))/\(((~((op1 (e10) (e10)) = (e10)))\/((op1 (e10) (e10)) = (e10)))/\(((~((op1 (e11) (e11)) = (e10)))\/((op1 (e11) (e10)) = (e11)))/\(((~((op1 (e12) (e12)) = (e10)))\/((op1 (e12) (e10)) = (e12)))/\((~((op1 (e13) (e13)) = (e10)))\/((op1 (e13) (e10)) = (e13))))))))))\/((((op1 (e11) (op1 (e11) (e10))) = (e10))/\(((op1 (e11) (op1 (e11) (e11))) = (e11))/\(((op1 (e11) (op1 (e11) (e12))) = (e12))/\(((op1 (e11) (op1 (e11) (e13))) = (e13))/\(((~((op1 (e10) (e10)) = (e11)))\/((op1 (e10) (e11)) = (e10)))/\(((~((op1 (e11) (e11)) = (e11)))\/((op1 (e11) (e11)) = (e11)))/\(((~((op1 (e12) (e12)) = (e11)))\/((op1 (e12) (e11)) = (e12)))/\((~((op1 (e13) (e13)) = (e11)))\/((op1 (e13) (e11)) = (e13))))))))))\/((((op1 (e12) (op1 (e12) (e10))) = (e10))/\(((op1 (e12) (op1 (e12) (e11))) = (e11))/\(((op1 (e12) (op1 (e12) (e12))) = (e12))/\(((op1 (e12) (op1 (e12) (e13))) = (e13))/\(((~((op1 (e10) (e10)) = (e12)))\/((op1 (e10) (e12)) = (e10)))/\(((~((op1 (e11) (e11)) = (e12)))\/((op1 (e11) (e12)) = (e11)))/\(((~((op1 (e12) (e12)) = (e12)))\/((op1 (e12) (e12)) = (e12)))/\((~((op1 (e13) (e13)) = (e12)))\/((op1 (e13) (e12)) = (e13))))))))))\/(((op1 (e13) (op1 (e13) (e10))) = (e10))/\(((op1 (e13) (op1 (e13) (e11))) = (e11))/\(((op1 (e13) (op1 (e13) (e12))) = (e12))/\(((op1 (e13) (op1 (e13) (e13))) = (e13))/\(((~((op1 (e10) (e10)) = (e13)))\/((op1 (e10) (e13)) = (e10)))/\(((~((op1 (e11) (e11)) = (e13)))\/((op1 (e11) (e13)) = (e11)))/\(((~((op1 (e12) (e12)) = (e13)))\/((op1 (e12) (e13)) = (e12)))/\((~((op1 (e13) (e13)) = (e13)))\/((op1 (e13) (e13)) = (e13))))))))))))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e12) (e13)) = (e10))))) -> (((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e12) (e11)) = (e13))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> ((e22) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> (((op2 (e20) (e22)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e23) (e22)) = (e23))))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> ((h2 (e12)) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> ((h2 (e13)) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> (~((h2 (op1 (e12) (e12))) = (op2 (h2 (e12)) (h2 (e12))))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> (~((op2 (e22) (e22)) = (e21))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e22) (e22)) = (e20))\/(((op2 (e22) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e22)) = (e23))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> ((op2 (e20) (e21)) = (e21)) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> ((op2 (e21) (op2 (e21) (e22))) = (e22)) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (((op2 (e21) (e20)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/((op2 (e21) (e23)) = (e23))))) -> (~((op2 (e21) (e22)) = (op2 (e21) (e23)))) -> ((op2 (e21) (op2 (e21) (e23))) = (e23)) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e21)) = (e22))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> (((op2 (e23) (e20)) = (e22))\/(((op2 (e23) (e21)) = (e22))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (~((e20) = (e22))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e20)) = (e20))\/(((op2 (e22) (e20)) = (e20))\/((op2 (e23) (e20)) = (e20))))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> (((op2 (e20) (e20)) = (e22))\/(((op2 (e21) (e20)) = (e22))\/(((op2 (e22) (e20)) = (e22))\/((op2 (e23) (e20)) = (e22))))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e10)) = (e12))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e13) (e10)) = (e12))))) -> ((e10) = (op1 (e11) (e11))) -> ((((op1 (e10) (e10)) = (e10))/\(((op1 (e10) (e10)) = (e10))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11))))/\(((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12))))/\((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))))))))\/((((op1 (e10) (e11)) = (e10))/\(((op1 (e11) (e10)) = (e10))/\(((~((op1 (e11) (e10)) = (e11)))\/(~((op1 (e11) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e11) (e12)) = (e11)))\/(~((op1 (e11) (e11)) = (e12))))/\((~((op1 (e11) (e13)) = (e11)))\/(~((op1 (e11) (e11)) = (e13)))))))))\/((((op1 (e10) (e12)) = (e10))/\(((op1 (e12) (e10)) = (e10))/\(((~((op1 (e12) (e10)) = (e12)))\/(~((op1 (e12) (e12)) = (e10))))/\(((~((op1 (e12) (e11)) = (e12)))\/(~((op1 (e12) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13)))))))))\/((((op1 (e10) (e13)) = (e10))/\(((op1 (e13) (e10)) = (e10))/\(((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e13) (e13)) = (e10))))/\(((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11))))/\(((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e13) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13)))))))))\/((((op1 (e11) (e10)) = (e11))/\(((op1 (e10) (e11)) = (e11))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11))))/\(((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12))))/\((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))))))))\/((((op1 (e11) (e11)) = (e11))/\(((op1 (e11) (e11)) = (e11))/\(((~((op1 (e11) (e10)) = (e11)))\/(~((op1 (e11) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e11) (e12)) = (e11)))\/(~((op1 (e11) (e11)) = (e12))))/\((~((op1 (e11) (e13)) = (e11)))\/(~((op1 (e11) (e11)) = (e13)))))))))\/((((op1 (e11) (e12)) = (e11))/\(((op1 (e12) (e11)) = (e11))/\(((~((op1 (e12) (e10)) = (e12)))\/(~((op1 (e12) (e12)) = (e10))))/\(((~((op1 (e12) (e11)) = (e12)))\/(~((op1 (e12) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13)))))))))\/((((op1 (e11) (e13)) = (e11))/\(((op1 (e13) (e11)) = (e11))/\(((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e13) (e13)) = (e10))))/\(((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11))))/\(((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e13) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13)))))))))\/((((op1 (e12) (e10)) = (e12))/\(((op1 (e10) (e12)) = (e12))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11))))/\(((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12))))/\((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))))))))\/((((op1 (e12) (e11)) = (e12))/\(((op1 (e11) (e12)) = (e12))/\(((~((op1 (e11) (e10)) = (e11)))\/(~((op1 (e11) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e11) (e12)) = (e11)))\/(~((op1 (e11) (e11)) = (e12))))/\((~((op1 (e11) (e13)) = (e11)))\/(~((op1 (e11) (e11)) = (e13)))))))))\/((((op1 (e12) (e12)) = (e12))/\(((op1 (e12) (e12)) = (e12))/\(((~((op1 (e12) (e10)) = (e12)))\/(~((op1 (e12) (e12)) = (e10))))/\(((~((op1 (e12) (e11)) = (e12)))\/(~((op1 (e12) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13)))))))))\/((((op1 (e12) (e13)) = (e12))/\(((op1 (e13) (e12)) = (e12))/\(((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e13) (e13)) = (e10))))/\(((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11))))/\(((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e13) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13)))))))))\/((((op1 (e13) (e10)) = (e13))/\(((op1 (e10) (e13)) = (e13))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11))))/\(((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12))))/\((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))))))))\/((((op1 (e13) (e11)) = (e13))/\(((op1 (e11) (e13)) = (e13))/\(((~((op1 (e11) (e10)) = (e11)))\/(~((op1 (e11) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e11) (e12)) = (e11)))\/(~((op1 (e11) (e11)) = (e12))))/\((~((op1 (e11) (e13)) = (e11)))\/(~((op1 (e11) (e11)) = (e13)))))))))\/((((op1 (e13) (e12)) = (e13))/\(((op1 (e12) (e13)) = (e13))/\(((~((op1 (e12) (e10)) = (e12)))\/(~((op1 (e12) (e12)) = (e10))))/\(((~((op1 (e12) (e11)) = (e12)))\/(~((op1 (e12) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13)))))))))\/(((op1 (e13) (e13)) = (e13))/\(((op1 (e13) (e13)) = (e13))/\(((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e13) (e13)) = (e10))))/\(((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11))))/\(((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e13) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13)))))))))))))))))))))))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((e12) = (e13))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e13) (e13)) = (e10))\/(((op1 (e13) (e13)) = (e11))\/(((op1 (e13) (e13)) = (e12))\/((op1 (e13) (e13)) = (e13))))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (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) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e11)) = (e12))\/((op1 (e10) (e11)) = (e13))))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((e10) = (e12))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> ((e12) = (op1 (op1 (op1 (e11) (e11)) (op1 (e11) (e11))) (op1 (e11) (e11)))) -> ((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e12))\/((op1 (e11) (e10)) = (e13))))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e20) (e21)) = (e20))\/(((op2 (e20) (e22)) = (e20))\/((op2 (e20) (e23)) = (e20))))) -> ((e20) = (op2 (e21) (e21))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> (~((op2 (e20) (e20)) = (e20))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e20) (e21)) = (e23))\/(((op2 (e20) (e22)) = (e23))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e22)))) -> ((e23) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> ((~((op2 (e20) (e23)) = (e20)))\/(~((op2 (e20) (e20)) = (e23)))) -> False).
% 54.96/55.18 do 0 intro. intros zenon_Hbc zenon_H36e zenon_H355 zenon_H345 zenon_H35d zenon_H2d1 zenon_H2d9 zenon_H2e6 zenon_H2e2 zenon_H2ea zenon_H30b zenon_H321 zenon_H322 zenon_H325 zenon_H2f6 zenon_H2fb zenon_H2fd zenon_H32b zenon_H32 zenon_H3e zenon_H3f zenon_H43a zenon_H3cb zenon_H474 zenon_H313 zenon_H2b1 zenon_H2a5 zenon_H2a3 zenon_H301 zenon_H2f8 zenon_H360 zenon_H316 zenon_H2c9 zenon_H44f zenon_H461 zenon_H4f4 zenon_H358 zenon_H2e7 zenon_H2b9 zenon_H2ad zenon_H30e zenon_H32e zenon_H2c0 zenon_H2c2 zenon_H437 zenon_H37d zenon_H101 zenon_H40c zenon_Hfc zenon_H100 zenon_H3c2 zenon_Hb9 zenon_H3a8 zenon_H481 zenon_H489 zenon_H399 zenon_H47a zenon_H395 zenon_H116 zenon_H3b1 zenon_H3af zenon_H60 zenon_H282 zenon_H39d zenon_H3b4 zenon_H45 zenon_H4ae zenon_H74 zenon_H6e zenon_H67 zenon_H4e2 zenon_H4e6 zenon_Hb0 zenon_Hb7 zenon_H4c2 zenon_H485 zenon_H328 zenon_H4c3 zenon_H13 zenon_H245 zenon_H23b zenon_H236 zenon_H21a zenon_H20c zenon_H1be zenon_H1b1 zenon_H1de zenon_H1cc zenon_H1d8 zenon_H1da zenon_H1e8 zenon_H1ed zenon_H1f4 zenon_H1f7 zenon_H1fa zenon_H1fd zenon_H204 zenon_H206 zenon_H209 zenon_H1a9 zenon_H17 zenon_H1e zenon_H25 zenon_H1a0 zenon_H19d zenon_H246 zenon_H192 zenon_H18e zenon_H18a zenon_H16c zenon_H172 zenon_H179 zenon_H180 zenon_H186 zenon_H14b zenon_H154 zenon_H155 zenon_H15 zenon_H15a zenon_H15f zenon_Hac zenon_H33 zenon_H8d zenon_H31 zenon_Ha5 zenon_H9f zenon_H98 zenon_H3b zenon_H93 zenon_Haa.
% 54.96/55.18 apply (zenon_or_s _ _ zenon_Hbc); [ zenon_intro zenon_Hab | zenon_intro zenon_Hbd ].
% 54.96/55.18 apply (zenon_L29_); trivial.
% 54.96/55.18 apply (zenon_or_s _ _ zenon_Haa); [ zenon_intro zenon_Had | zenon_intro zenon_Ha6 ].
% 54.96/55.18 apply (zenon_or_s _ _ zenon_H36e); [ zenon_intro zenon_H244 | zenon_intro zenon_H36f ].
% 54.96/55.18 apply (zenon_L126_); trivial.
% 54.96/55.18 apply (zenon_or_s _ _ zenon_H36f); [ zenon_intro zenon_H371 | zenon_intro zenon_H370 ].
% 54.96/55.18 apply (zenon_and_s _ _ zenon_H371). zenon_intro zenon_H292. zenon_intro zenon_H372.
% 54.96/55.18 apply (zenon_and_s _ _ zenon_H372). zenon_intro zenon_H2a6. zenon_intro zenon_H373.
% 54.96/55.18 apply (zenon_and_s _ _ zenon_H373). zenon_intro zenon_H375. zenon_intro zenon_H374.
% 54.96/55.18 apply (zenon_and_s _ _ zenon_H374). zenon_intro zenon_H29e. zenon_intro zenon_H376.
% 54.96/55.18 apply (zenon_and_s _ _ zenon_H376). zenon_intro zenon_H378. zenon_intro zenon_H377.
% 54.96/55.18 apply (zenon_and_s _ _ zenon_H377). zenon_intro zenon_H37a. zenon_intro zenon_H379.
% 54.96/55.18 apply (zenon_and_s _ _ zenon_H379). zenon_intro zenon_H37c. zenon_intro zenon_H37b.
% 54.96/55.18 apply (zenon_or_s _ _ zenon_H37a); [ zenon_intro zenon_H473 | zenon_intro zenon_H1a7 ].
% 54.96/55.18 apply (zenon_or_s _ _ zenon_H37c); [ zenon_intro zenon_H23f | zenon_intro zenon_H202 ].
% 54.96/55.18 apply (zenon_or_s _ _ zenon_H37b); [ zenon_intro zenon_H20d | zenon_intro zenon_H1c3 ].
% 54.96/55.18 apply (zenon_or_s _ _ zenon_H245); [ zenon_intro zenon_H147 | zenon_intro zenon_H254 ].
% 54.96/55.18 apply (zenon_L60_); trivial.
% 54.96/55.18 apply (zenon_or_s _ _ zenon_H254); [ zenon_intro zenon_H164 | zenon_intro zenon_H255 ].
% 54.96/55.18 apply (zenon_L66_); trivial.
% 54.96/55.18 apply (zenon_or_s _ _ zenon_H255); [ zenon_intro zenon_H197 | zenon_intro zenon_H256 ].
% 54.96/55.18 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_H18f. zenon_intro zenon_H198.
% 54.96/55.18 apply (zenon_and_s _ _ zenon_H198). zenon_intro zenon_H293. zenon_intro zenon_H227.
% 54.96/55.18 apply (zenon_and_s _ _ zenon_H227). zenon_intro zenon_H229. zenon_intro zenon_H228.
% 54.96/55.18 apply (zenon_and_s _ _ zenon_H228). zenon_intro zenon_H22b. zenon_intro zenon_H22a.
% 54.96/55.18 apply (zenon_and_s _ _ zenon_H22a). zenon_intro zenon_H224. zenon_intro zenon_H22c.
% 54.96/55.18 apply (zenon_or_s _ _ zenon_H224); [ zenon_intro zenon_H1d1 | zenon_intro zenon_H1d1 ].
% 54.96/55.18 apply (zenon_L801_); trivial.
% 54.96/55.18 apply (zenon_L801_); trivial.
% 54.96/55.18 apply (zenon_or_s _ _ zenon_H256); [ zenon_intro zenon_H199 | zenon_intro zenon_H257 ].
% 54.96/55.18 apply (zenon_L77_); trivial.
% 54.96/55.18 apply (zenon_or_s _ _ zenon_H257); [ zenon_intro zenon_H259 | zenon_intro zenon_H258 ].
% 54.96/55.18 apply (zenon_L804_); trivial.
% 54.96/55.18 apply (zenon_or_s _ _ zenon_H258); [ zenon_intro zenon_H1a5 | zenon_intro zenon_H262 ].
% 54.96/55.18 apply (zenon_L80_); trivial.
% 54.96/55.18 apply (zenon_or_s _ _ zenon_H262); [ zenon_intro zenon_H1ae | zenon_intro zenon_H263 ].
% 54.96/55.18 apply (zenon_L83_); trivial.
% 54.96/55.18 apply (zenon_or_s _ _ zenon_H263); [ zenon_intro zenon_H212 | zenon_intro zenon_H264 ].
% 54.96/55.18 apply (zenon_L161_); trivial.
% 54.96/55.18 apply (zenon_or_s _ _ zenon_H264); [ zenon_intro zenon_H220 | zenon_intro zenon_H265 ].
% 54.96/55.18 apply (zenon_L110_); trivial.
% 54.96/55.18 apply (zenon_or_s _ _ zenon_H265); [ zenon_intro zenon_H222 | zenon_intro zenon_H266 ].
% 54.96/55.18 apply (zenon_L111_); trivial.
% 54.96/55.18 apply (zenon_or_s _ _ zenon_H266); [ zenon_intro zenon_H225 | zenon_intro zenon_H267 ].
% 54.96/55.18 apply (zenon_L113_); trivial.
% 54.96/55.18 apply (zenon_or_s _ _ zenon_H267); [ zenon_intro zenon_H22d | zenon_intro zenon_H268 ].
% 54.96/55.18 apply (zenon_L114_); trivial.
% 54.96/55.18 apply (zenon_or_s _ _ zenon_H268); [ zenon_intro zenon_H230 | zenon_intro zenon_H269 ].
% 54.96/55.18 apply (zenon_L115_); trivial.
% 54.96/55.18 apply (zenon_or_s _ _ zenon_H269); [ zenon_intro zenon_H232 | zenon_intro zenon_H26a ].
% 54.96/55.18 apply (zenon_L116_); trivial.
% 54.96/55.18 apply (zenon_or_s _ _ zenon_H26a); [ zenon_intro zenon_H240 | zenon_intro zenon_H242 ].
% 54.96/55.18 apply (zenon_L166_); trivial.
% 54.96/55.18 apply (zenon_L125_); trivial.
% 54.96/55.18 apply (zenon_or_s _ _ zenon_H245); [ zenon_intro zenon_H147 | zenon_intro zenon_H254 ].
% 54.96/55.18 apply (zenon_L60_); trivial.
% 54.96/55.18 apply (zenon_or_s _ _ zenon_H254); [ zenon_intro zenon_H164 | zenon_intro zenon_H255 ].
% 54.96/55.18 apply (zenon_L66_); trivial.
% 54.96/55.18 apply (zenon_or_s _ _ zenon_H255); [ zenon_intro zenon_H197 | zenon_intro zenon_H256 ].
% 54.96/55.18 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_H18f. zenon_intro zenon_H198.
% 54.96/55.18 apply (zenon_and_s _ _ zenon_H198). zenon_intro zenon_H293. zenon_intro zenon_H227.
% 54.96/55.18 apply (zenon_and_s _ _ zenon_H227). zenon_intro zenon_H229. zenon_intro zenon_H228.
% 54.96/55.18 apply (zenon_and_s _ _ zenon_H228). zenon_intro zenon_H22b. zenon_intro zenon_H22a.
% 54.96/55.18 apply (zenon_and_s _ _ zenon_H22a). zenon_intro zenon_H224. zenon_intro zenon_H22c.
% 54.96/55.18 apply (zenon_L809_); trivial.
% 54.96/55.18 apply (zenon_or_s _ _ zenon_H256); [ zenon_intro zenon_H199 | zenon_intro zenon_H257 ].
% 54.96/55.18 apply (zenon_L77_); trivial.
% 54.96/55.18 apply (zenon_or_s _ _ zenon_H257); [ zenon_intro zenon_H259 | zenon_intro zenon_H258 ].
% 54.96/55.18 apply (zenon_L804_); trivial.
% 54.96/55.18 apply (zenon_or_s _ _ zenon_H258); [ zenon_intro zenon_H1a5 | zenon_intro zenon_H262 ].
% 54.96/55.18 apply (zenon_L80_); trivial.
% 54.96/55.18 apply (zenon_or_s _ _ zenon_H262); [ zenon_intro zenon_H1ae | zenon_intro zenon_H263 ].
% 54.96/55.18 apply (zenon_L83_); trivial.
% 54.96/55.18 apply (zenon_or_s _ _ zenon_H263); [ zenon_intro zenon_H212 | zenon_intro zenon_H264 ].
% 54.96/55.18 apply (zenon_L167_); trivial.
% 54.96/55.18 apply (zenon_or_s _ _ zenon_H264); [ zenon_intro zenon_H220 | zenon_intro zenon_H265 ].
% 54.96/55.18 apply (zenon_L110_); trivial.
% 54.96/55.18 apply (zenon_or_s _ _ zenon_H265); [ zenon_intro zenon_H222 | zenon_intro zenon_H266 ].
% 54.96/55.18 apply (zenon_L111_); trivial.
% 54.96/55.18 apply (zenon_or_s _ _ zenon_H266); [ zenon_intro zenon_H225 | zenon_intro zenon_H267 ].
% 54.96/55.18 apply (zenon_L113_); trivial.
% 54.96/55.18 apply (zenon_or_s _ _ zenon_H267); [ zenon_intro zenon_H22d | zenon_intro zenon_H268 ].
% 54.96/55.18 apply (zenon_L114_); trivial.
% 54.96/55.18 apply (zenon_or_s _ _ zenon_H268); [ zenon_intro zenon_H230 | zenon_intro zenon_H269 ].
% 54.96/55.18 apply (zenon_L115_); trivial.
% 54.96/55.18 apply (zenon_or_s _ _ zenon_H269); [ zenon_intro zenon_H232 | zenon_intro zenon_H26a ].
% 54.96/55.18 apply (zenon_L116_); trivial.
% 54.96/55.18 apply (zenon_or_s _ _ zenon_H26a); [ zenon_intro zenon_H240 | zenon_intro zenon_H242 ].
% 54.96/55.18 apply (zenon_L166_); trivial.
% 54.96/55.18 apply (zenon_L125_); trivial.
% 54.96/55.18 apply (zenon_or_s _ _ zenon_H245); [ zenon_intro zenon_H147 | zenon_intro zenon_H254 ].
% 54.96/55.18 apply (zenon_L60_); trivial.
% 54.96/55.18 apply (zenon_or_s _ _ zenon_H254); [ zenon_intro zenon_H164 | zenon_intro zenon_H255 ].
% 54.96/55.18 apply (zenon_L66_); trivial.
% 54.96/55.18 apply (zenon_or_s _ _ zenon_H255); [ zenon_intro zenon_H197 | zenon_intro zenon_H256 ].
% 54.96/55.18 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_H18f. zenon_intro zenon_H198.
% 54.96/55.18 apply (zenon_and_s _ _ zenon_H198). zenon_intro zenon_H293. zenon_intro zenon_H227.
% 54.96/55.18 apply (zenon_and_s _ _ zenon_H227). zenon_intro zenon_H229. zenon_intro zenon_H228.
% 54.96/55.18 apply (zenon_and_s _ _ zenon_H228). zenon_intro zenon_H22b. zenon_intro zenon_H22a.
% 54.96/55.18 apply (zenon_and_s _ _ zenon_H22a). zenon_intro zenon_H224. zenon_intro zenon_H22c.
% 54.96/55.18 apply (zenon_or_s _ _ zenon_H22b); [ zenon_intro zenon_H23c | zenon_intro zenon_H23f ].
% 54.96/55.18 exact (zenon_H23c zenon_H202).
% 54.96/55.18 apply (zenon_or_s _ _ zenon_H224); [ zenon_intro zenon_H1d1 | zenon_intro zenon_H1d1 ].
% 54.96/55.18 apply (zenon_L814_); trivial.
% 54.96/55.18 apply (zenon_L814_); trivial.
% 54.96/55.18 apply (zenon_or_s _ _ zenon_H256); [ zenon_intro zenon_H199 | zenon_intro zenon_H257 ].
% 54.96/55.18 apply (zenon_L77_); trivial.
% 54.96/55.18 apply (zenon_or_s _ _ zenon_H257); [ zenon_intro zenon_H259 | zenon_intro zenon_H258 ].
% 54.96/55.18 apply (zenon_L817_); trivial.
% 54.96/55.18 apply (zenon_or_s _ _ zenon_H258); [ zenon_intro zenon_H1a5 | zenon_intro zenon_H262 ].
% 54.96/55.18 apply (zenon_L80_); trivial.
% 54.96/55.18 apply (zenon_or_s _ _ zenon_H262); [ zenon_intro zenon_H1ae | zenon_intro zenon_H263 ].
% 54.96/55.18 apply (zenon_L83_); trivial.
% 54.96/55.18 apply (zenon_or_s _ _ zenon_H263); [ zenon_intro zenon_H212 | zenon_intro zenon_H264 ].
% 54.96/55.18 apply (zenon_L169_); trivial.
% 54.96/55.18 apply (zenon_or_s _ _ zenon_H264); [ zenon_intro zenon_H220 | zenon_intro zenon_H265 ].
% 54.96/55.18 apply (zenon_L110_); trivial.
% 54.96/55.18 apply (zenon_or_s _ _ zenon_H265); [ zenon_intro zenon_H222 | zenon_intro zenon_H266 ].
% 54.96/55.18 apply (zenon_L111_); trivial.
% 54.96/55.18 apply (zenon_or_s _ _ zenon_H266); [ zenon_intro zenon_H225 | zenon_intro zenon_H267 ].
% 54.96/55.18 apply (zenon_L113_); trivial.
% 54.96/55.18 apply (zenon_or_s _ _ zenon_H267); [ zenon_intro zenon_H22d | zenon_intro zenon_H268 ].
% 54.96/55.18 apply (zenon_L114_); trivial.
% 54.96/55.18 apply (zenon_or_s _ _ zenon_H268); [ zenon_intro zenon_H230 | zenon_intro zenon_H269 ].
% 54.96/55.18 apply (zenon_L115_); trivial.
% 54.96/55.18 apply (zenon_or_s _ _ zenon_H269); [ zenon_intro zenon_H232 | zenon_intro zenon_H26a ].
% 54.96/55.18 apply (zenon_L116_); trivial.
% 54.96/55.18 apply (zenon_or_s _ _ zenon_H26a); [ zenon_intro zenon_H240 | zenon_intro zenon_H242 ].
% 54.96/55.18 apply (zenon_L166_); trivial.
% 54.96/55.18 apply (zenon_L125_); trivial.
% 54.96/55.18 apply (zenon_L532_); trivial.
% 54.96/55.18 apply (zenon_or_s _ _ zenon_H370); [ zenon_intro zenon_H335 | zenon_intro zenon_H363 ].
% 54.96/55.18 apply (zenon_L260_); trivial.
% 54.96/55.18 apply (zenon_L307_); trivial.
% 54.96/55.18 apply (zenon_L28_); trivial.
% 54.96/55.18 (* end of lemma zenon_L818_ *)
% 54.96/55.18 assert (zenon_L819_ : (((op2 (e21) (e20)) = (e21))/\(((op2 (e20) (e21)) = (e21))/\(((~((op2 (e20) (e20)) = (e20)))\/(~((op2 (e20) (e20)) = (e20))))/\(((~((op2 (e20) (e21)) = (e20)))\/(~((op2 (e20) (e20)) = (e21))))/\(((~((op2 (e20) (e22)) = (e20)))\/(~((op2 (e20) (e20)) = (e22))))/\((~((op2 (e20) (e23)) = (e20)))\/(~((op2 (e20) (e20)) = (e23))))))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> ((e23) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e22)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e20) (e21)) = (e23))\/(((op2 (e20) (e22)) = (e23))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> ((e20) = (op2 (e21) (e21))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e20) (e21)) = (e20))\/(((op2 (e20) (e22)) = (e20))\/((op2 (e20) (e23)) = (e20))))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e12))\/((op1 (e11) (e10)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> ((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) -> ((e12) = (op1 (op1 (op1 (e11) (e11)) (op1 (e11) (e11))) (op1 (e11) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((e10) = (e12))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e11)) = (e12))\/((op1 (e10) (e11)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (((op1 (e13) (e13)) = (e10))\/(((op1 (e13) (e13)) = (e11))\/(((op1 (e13) (e13)) = (e12))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (~((e12) = (e13))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> ((((op1 (e10) (e10)) = (e10))/\(((op1 (e10) (e10)) = (e10))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11))))/\(((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12))))/\((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))))))))\/((((op1 (e10) (e11)) = (e10))/\(((op1 (e11) (e10)) = (e10))/\(((~((op1 (e11) (e10)) = (e11)))\/(~((op1 (e11) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e11) (e12)) = (e11)))\/(~((op1 (e11) (e11)) = (e12))))/\((~((op1 (e11) (e13)) = (e11)))\/(~((op1 (e11) (e11)) = (e13)))))))))\/((((op1 (e10) (e12)) = (e10))/\(((op1 (e12) (e10)) = (e10))/\(((~((op1 (e12) (e10)) = (e12)))\/(~((op1 (e12) (e12)) = (e10))))/\(((~((op1 (e12) (e11)) = (e12)))\/(~((op1 (e12) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13)))))))))\/((((op1 (e10) (e13)) = (e10))/\(((op1 (e13) (e10)) = (e10))/\(((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e13) (e13)) = (e10))))/\(((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11))))/\(((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e13) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13)))))))))\/((((op1 (e11) (e10)) = (e11))/\(((op1 (e10) (e11)) = (e11))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11))))/\(((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12))))/\((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))))))))\/((((op1 (e11) (e11)) = (e11))/\(((op1 (e11) (e11)) = (e11))/\(((~((op1 (e11) (e10)) = (e11)))\/(~((op1 (e11) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e11) (e12)) = (e11)))\/(~((op1 (e11) (e11)) = (e12))))/\((~((op1 (e11) (e13)) = (e11)))\/(~((op1 (e11) (e11)) = (e13)))))))))\/((((op1 (e11) (e12)) = (e11))/\(((op1 (e12) (e11)) = (e11))/\(((~((op1 (e12) (e10)) = (e12)))\/(~((op1 (e12) (e12)) = (e10))))/\(((~((op1 (e12) (e11)) = (e12)))\/(~((op1 (e12) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13)))))))))\/((((op1 (e11) (e13)) = (e11))/\(((op1 (e13) (e11)) = (e11))/\(((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e13) (e13)) = (e10))))/\(((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11))))/\(((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e13) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13)))))))))\/((((op1 (e12) (e10)) = (e12))/\(((op1 (e10) (e12)) = (e12))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11))))/\(((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12))))/\((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))))))))\/((((op1 (e12) (e11)) = (e12))/\(((op1 (e11) (e12)) = (e12))/\(((~((op1 (e11) (e10)) = (e11)))\/(~((op1 (e11) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e11) (e12)) = (e11)))\/(~((op1 (e11) (e11)) = (e12))))/\((~((op1 (e11) (e13)) = (e11)))\/(~((op1 (e11) (e11)) = (e13)))))))))\/((((op1 (e12) (e12)) = (e12))/\(((op1 (e12) (e12)) = (e12))/\(((~((op1 (e12) (e10)) = (e12)))\/(~((op1 (e12) (e12)) = (e10))))/\(((~((op1 (e12) (e11)) = (e12)))\/(~((op1 (e12) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13)))))))))\/((((op1 (e12) (e13)) = (e12))/\(((op1 (e13) (e12)) = (e12))/\(((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e13) (e13)) = (e10))))/\(((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11))))/\(((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e13) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13)))))))))\/((((op1 (e13) (e10)) = (e13))/\(((op1 (e10) (e13)) = (e13))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11))))/\(((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12))))/\((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))))))))\/((((op1 (e13) (e11)) = (e13))/\(((op1 (e11) (e13)) = (e13))/\(((~((op1 (e11) (e10)) = (e11)))\/(~((op1 (e11) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e11) (e12)) = (e11)))\/(~((op1 (e11) (e11)) = (e12))))/\((~((op1 (e11) (e13)) = (e11)))\/(~((op1 (e11) (e11)) = (e13)))))))))\/((((op1 (e13) (e12)) = (e13))/\(((op1 (e12) (e13)) = (e13))/\(((~((op1 (e12) (e10)) = (e12)))\/(~((op1 (e12) (e12)) = (e10))))/\(((~((op1 (e12) (e11)) = (e12)))\/(~((op1 (e12) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13)))))))))\/(((op1 (e13) (e13)) = (e13))/\(((op1 (e13) (e13)) = (e13))/\(((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e13) (e13)) = (e10))))/\(((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11))))/\(((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e13) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13)))))))))))))))))))))))) -> ((e10) = (op1 (e11) (e11))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e10)) = (e12))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e13) (e10)) = (e12))))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> (((op2 (e20) (e20)) = (e22))\/(((op2 (e21) (e20)) = (e22))\/(((op2 (e22) (e20)) = (e22))\/((op2 (e23) (e20)) = (e22))))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e20)) = (e20))\/(((op2 (e22) (e20)) = (e20))\/((op2 (e23) (e20)) = (e20))))) -> (~((e20) = (e22))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (((op2 (e23) (e20)) = (e22))\/(((op2 (e23) (e21)) = (e22))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e21)) = (e22))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> ((op2 (e21) (op2 (e21) (e23))) = (e23)) -> (~((op2 (e21) (e22)) = (op2 (e21) (e23)))) -> (((op2 (e21) (e20)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/((op2 (e21) (e23)) = (e23))))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> ((op2 (e21) (op2 (e21) (e22))) = (e22)) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> (((op2 (e22) (e22)) = (e20))\/(((op2 (e22) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e22)) = (e23))))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e22) (e22)) = (e21))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((h2 (op1 (e12) (e12))) = (op2 (h2 (e12)) (h2 (e12))))) -> ((h2 (e13)) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((h2 (e12)) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e20) (e22)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e23) (e22)) = (e23))))) -> ((e22) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (((op1 (e10) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e12) (e11)) = (e13))))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e12) (e13)) = (e10))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> ((((op1 (e10) (op1 (e10) (e10))) = (e10))/\(((op1 (e10) (op1 (e10) (e11))) = (e11))/\(((op1 (e10) (op1 (e10) (e12))) = (e12))/\(((op1 (e10) (op1 (e10) (e13))) = (e13))/\(((~((op1 (e10) (e10)) = (e10)))\/((op1 (e10) (e10)) = (e10)))/\(((~((op1 (e11) (e11)) = (e10)))\/((op1 (e11) (e10)) = (e11)))/\(((~((op1 (e12) (e12)) = (e10)))\/((op1 (e12) (e10)) = (e12)))/\((~((op1 (e13) (e13)) = (e10)))\/((op1 (e13) (e10)) = (e13))))))))))\/((((op1 (e11) (op1 (e11) (e10))) = (e10))/\(((op1 (e11) (op1 (e11) (e11))) = (e11))/\(((op1 (e11) (op1 (e11) (e12))) = (e12))/\(((op1 (e11) (op1 (e11) (e13))) = (e13))/\(((~((op1 (e10) (e10)) = (e11)))\/((op1 (e10) (e11)) = (e10)))/\(((~((op1 (e11) (e11)) = (e11)))\/((op1 (e11) (e11)) = (e11)))/\(((~((op1 (e12) (e12)) = (e11)))\/((op1 (e12) (e11)) = (e12)))/\((~((op1 (e13) (e13)) = (e11)))\/((op1 (e13) (e11)) = (e13))))))))))\/((((op1 (e12) (op1 (e12) (e10))) = (e10))/\(((op1 (e12) (op1 (e12) (e11))) = (e11))/\(((op1 (e12) (op1 (e12) (e12))) = (e12))/\(((op1 (e12) (op1 (e12) (e13))) = (e13))/\(((~((op1 (e10) (e10)) = (e12)))\/((op1 (e10) (e12)) = (e10)))/\(((~((op1 (e11) (e11)) = (e12)))\/((op1 (e11) (e12)) = (e11)))/\(((~((op1 (e12) (e12)) = (e12)))\/((op1 (e12) (e12)) = (e12)))/\((~((op1 (e13) (e13)) = (e12)))\/((op1 (e13) (e12)) = (e13))))))))))\/(((op1 (e13) (op1 (e13) (e10))) = (e10))/\(((op1 (e13) (op1 (e13) (e11))) = (e11))/\(((op1 (e13) (op1 (e13) (e12))) = (e12))/\(((op1 (e13) (op1 (e13) (e13))) = (e13))/\(((~((op1 (e10) (e10)) = (e13)))\/((op1 (e10) (e13)) = (e10)))/\(((~((op1 (e11) (e11)) = (e13)))\/((op1 (e11) (e13)) = (e11)))/\(((~((op1 (e12) (e12)) = (e13)))\/((op1 (e12) (e13)) = (e12)))/\((~((op1 (e13) (e13)) = (e13)))\/((op1 (e13) (e13)) = (e13))))))))))))) -> False).
% 54.96/55.18 do 0 intro. intros zenon_Hb6 zenon_H93 zenon_H3b zenon_H98 zenon_H9f zenon_Ha5 zenon_H8d zenon_H33 zenon_Hac zenon_H15f zenon_H15a zenon_H15 zenon_H155 zenon_H154 zenon_H14b zenon_H186 zenon_H180 zenon_H179 zenon_H172 zenon_H16c zenon_H18a zenon_H18e zenon_H192 zenon_H246 zenon_H19d zenon_H1a0 zenon_H25 zenon_H1e zenon_H17 zenon_H1a9 zenon_H209 zenon_H206 zenon_H204 zenon_H1fd zenon_H1fa zenon_H1f7 zenon_H1f4 zenon_H1ed zenon_H1e8 zenon_H1da zenon_H1d8 zenon_H1cc zenon_H1de zenon_H1b1 zenon_H1be zenon_H20c zenon_H21a zenon_H236 zenon_H23b zenon_H245 zenon_H13 zenon_H4c3 zenon_H328 zenon_H485 zenon_H4c2 zenon_Hb7 zenon_Hb0 zenon_H4e6 zenon_H4e2 zenon_H67 zenon_H6e zenon_H74 zenon_H4ae zenon_H45 zenon_H3b4 zenon_H39d zenon_H282 zenon_H60 zenon_H3af zenon_H3b1 zenon_H116 zenon_H395 zenon_H47a zenon_H399 zenon_H489 zenon_H481 zenon_H3a8 zenon_H3c2 zenon_H100 zenon_Hfc zenon_H40c zenon_H101 zenon_H37d zenon_H437 zenon_H2c2 zenon_H2c0 zenon_H32e zenon_H30e zenon_H2ad zenon_H2b9 zenon_H2e7 zenon_H358 zenon_H4f4 zenon_H461 zenon_H44f zenon_H2c9 zenon_H316 zenon_H360 zenon_H2f8 zenon_H301 zenon_H2a3 zenon_H2a5 zenon_H2b1 zenon_H313 zenon_H474 zenon_H3cb zenon_H43a zenon_H3f zenon_H3e zenon_H32 zenon_H32b zenon_H2fd zenon_H2fb zenon_H2f6 zenon_H325 zenon_H322 zenon_H321 zenon_H30b zenon_H2ea zenon_H2e2 zenon_H2e6 zenon_H2d9 zenon_H2d1 zenon_H35d zenon_H345 zenon_H355 zenon_H36e.
% 54.96/55.18 apply (zenon_and_s _ _ zenon_Hb6). zenon_intro zenon_H4e. zenon_intro zenon_Hb8.
% 54.96/55.18 apply (zenon_and_s _ _ zenon_Hb8). zenon_intro zenon_Hb9. zenon_intro zenon_H2e.
% 54.96/55.18 apply (zenon_and_s _ _ zenon_H2e). zenon_intro zenon_H30. zenon_intro zenon_H2f.
% 54.96/55.18 apply (zenon_and_s _ _ zenon_H2f). zenon_intro zenon_Hbb. zenon_intro zenon_Hba.
% 54.96/55.18 apply (zenon_and_s _ _ zenon_Hba). zenon_intro zenon_Hbc. zenon_intro zenon_Haa.
% 54.96/55.18 apply (zenon_or_s _ _ zenon_H30); [ zenon_intro zenon_H31 | zenon_intro zenon_H31 ].
% 54.96/55.18 apply (zenon_L818_); trivial.
% 54.96/55.18 apply (zenon_L818_); trivial.
% 54.96/55.18 (* end of lemma zenon_L819_ *)
% 54.96/55.18 assert (zenon_L820_ : (((op2 (e20) (e22)) = (e20))/\(((op2 (e22) (e20)) = (e20))/\(((~((op2 (e22) (e20)) = (e22)))\/(~((op2 (e22) (e22)) = (e20))))/\(((~((op2 (e22) (e21)) = (e22)))\/(~((op2 (e22) (e22)) = (e21))))/\(((~((op2 (e22) (e22)) = (e22)))\/(~((op2 (e22) (e22)) = (e22))))/\((~((op2 (e22) (e23)) = (e22)))\/(~((op2 (e22) (e22)) = (e23))))))))) -> ((((op1 (e10) (op1 (e10) (e10))) = (e10))/\(((op1 (e10) (op1 (e10) (e11))) = (e11))/\(((op1 (e10) (op1 (e10) (e12))) = (e12))/\(((op1 (e10) (op1 (e10) (e13))) = (e13))/\(((~((op1 (e10) (e10)) = (e10)))\/((op1 (e10) (e10)) = (e10)))/\(((~((op1 (e11) (e11)) = (e10)))\/((op1 (e11) (e10)) = (e11)))/\(((~((op1 (e12) (e12)) = (e10)))\/((op1 (e12) (e10)) = (e12)))/\((~((op1 (e13) (e13)) = (e10)))\/((op1 (e13) (e10)) = (e13))))))))))\/((((op1 (e11) (op1 (e11) (e10))) = (e10))/\(((op1 (e11) (op1 (e11) (e11))) = (e11))/\(((op1 (e11) (op1 (e11) (e12))) = (e12))/\(((op1 (e11) (op1 (e11) (e13))) = (e13))/\(((~((op1 (e10) (e10)) = (e11)))\/((op1 (e10) (e11)) = (e10)))/\(((~((op1 (e11) (e11)) = (e11)))\/((op1 (e11) (e11)) = (e11)))/\(((~((op1 (e12) (e12)) = (e11)))\/((op1 (e12) (e11)) = (e12)))/\((~((op1 (e13) (e13)) = (e11)))\/((op1 (e13) (e11)) = (e13))))))))))\/((((op1 (e12) (op1 (e12) (e10))) = (e10))/\(((op1 (e12) (op1 (e12) (e11))) = (e11))/\(((op1 (e12) (op1 (e12) (e12))) = (e12))/\(((op1 (e12) (op1 (e12) (e13))) = (e13))/\(((~((op1 (e10) (e10)) = (e12)))\/((op1 (e10) (e12)) = (e10)))/\(((~((op1 (e11) (e11)) = (e12)))\/((op1 (e11) (e12)) = (e11)))/\(((~((op1 (e12) (e12)) = (e12)))\/((op1 (e12) (e12)) = (e12)))/\((~((op1 (e13) (e13)) = (e12)))\/((op1 (e13) (e12)) = (e13))))))))))\/(((op1 (e13) (op1 (e13) (e10))) = (e10))/\(((op1 (e13) (op1 (e13) (e11))) = (e11))/\(((op1 (e13) (op1 (e13) (e12))) = (e12))/\(((op1 (e13) (op1 (e13) (e13))) = (e13))/\(((~((op1 (e10) (e10)) = (e13)))\/((op1 (e10) (e13)) = (e10)))/\(((~((op1 (e11) (e11)) = (e13)))\/((op1 (e11) (e13)) = (e11)))/\(((~((op1 (e12) (e12)) = (e13)))\/((op1 (e12) (e13)) = (e12)))/\((~((op1 (e13) (e13)) = (e13)))\/((op1 (e13) (e13)) = (e13))))))))))))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e12) (e13)) = (e10))))) -> (((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e12) (e11)) = (e13))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((h2 (op1 (e12) (e12))) = (op2 (h2 (e12)) (h2 (e12))))) -> ((h2 (e13)) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((e22) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> ((h2 (e12)) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> ((e23) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (((op2 (e22) (e22)) = (e20))\/(((op2 (e22) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e22)) = (e23))))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e10)) = (e12))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e13) (e10)) = (e12))))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> ((e10) = (op1 (e11) (e11))) -> ((((op1 (e10) (e10)) = (e10))/\(((op1 (e10) (e10)) = (e10))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11))))/\(((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12))))/\((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))))))))\/((((op1 (e10) (e11)) = (e10))/\(((op1 (e11) (e10)) = (e10))/\(((~((op1 (e11) (e10)) = (e11)))\/(~((op1 (e11) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e11) (e12)) = (e11)))\/(~((op1 (e11) (e11)) = (e12))))/\((~((op1 (e11) (e13)) = (e11)))\/(~((op1 (e11) (e11)) = (e13)))))))))\/((((op1 (e10) (e12)) = (e10))/\(((op1 (e12) (e10)) = (e10))/\(((~((op1 (e12) (e10)) = (e12)))\/(~((op1 (e12) (e12)) = (e10))))/\(((~((op1 (e12) (e11)) = (e12)))\/(~((op1 (e12) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13)))))))))\/((((op1 (e10) (e13)) = (e10))/\(((op1 (e13) (e10)) = (e10))/\(((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e13) (e13)) = (e10))))/\(((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11))))/\(((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e13) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13)))))))))\/((((op1 (e11) (e10)) = (e11))/\(((op1 (e10) (e11)) = (e11))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11))))/\(((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12))))/\((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))))))))\/((((op1 (e11) (e11)) = (e11))/\(((op1 (e11) (e11)) = (e11))/\(((~((op1 (e11) (e10)) = (e11)))\/(~((op1 (e11) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e11) (e12)) = (e11)))\/(~((op1 (e11) (e11)) = (e12))))/\((~((op1 (e11) (e13)) = (e11)))\/(~((op1 (e11) (e11)) = (e13)))))))))\/((((op1 (e11) (e12)) = (e11))/\(((op1 (e12) (e11)) = (e11))/\(((~((op1 (e12) (e10)) = (e12)))\/(~((op1 (e12) (e12)) = (e10))))/\(((~((op1 (e12) (e11)) = (e12)))\/(~((op1 (e12) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13)))))))))\/((((op1 (e11) (e13)) = (e11))/\(((op1 (e13) (e11)) = (e11))/\(((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e13) (e13)) = (e10))))/\(((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11))))/\(((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e13) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13)))))))))\/((((op1 (e12) (e10)) = (e12))/\(((op1 (e10) (e12)) = (e12))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11))))/\(((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12))))/\((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))))))))\/((((op1 (e12) (e11)) = (e12))/\(((op1 (e11) (e12)) = (e12))/\(((~((op1 (e11) (e10)) = (e11)))\/(~((op1 (e11) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e11) (e12)) = (e11)))\/(~((op1 (e11) (e11)) = (e12))))/\((~((op1 (e11) (e13)) = (e11)))\/(~((op1 (e11) (e11)) = (e13)))))))))\/((((op1 (e12) (e12)) = (e12))/\(((op1 (e12) (e12)) = (e12))/\(((~((op1 (e12) (e10)) = (e12)))\/(~((op1 (e12) (e12)) = (e10))))/\(((~((op1 (e12) (e11)) = (e12)))\/(~((op1 (e12) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13)))))))))\/((((op1 (e12) (e13)) = (e12))/\(((op1 (e13) (e12)) = (e12))/\(((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e13) (e13)) = (e10))))/\(((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11))))/\(((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e13) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13)))))))))\/((((op1 (e13) (e10)) = (e13))/\(((op1 (e10) (e13)) = (e13))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11))))/\(((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12))))/\((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))))))))\/((((op1 (e13) (e11)) = (e13))/\(((op1 (e11) (e13)) = (e13))/\(((~((op1 (e11) (e10)) = (e11)))\/(~((op1 (e11) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e11) (e12)) = (e11)))\/(~((op1 (e11) (e11)) = (e12))))/\((~((op1 (e11) (e13)) = (e11)))\/(~((op1 (e11) (e11)) = (e13)))))))))\/((((op1 (e13) (e12)) = (e13))/\(((op1 (e12) (e13)) = (e13))/\(((~((op1 (e12) (e10)) = (e12)))\/(~((op1 (e12) (e12)) = (e10))))/\(((~((op1 (e12) (e11)) = (e12)))\/(~((op1 (e12) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13)))))))))\/(((op1 (e13) (e13)) = (e13))/\(((op1 (e13) (e13)) = (e13))/\(((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e13) (e13)) = (e10))))/\(((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11))))/\(((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e13) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13)))))))))))))))))))))))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((e12) = (e13))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e13) (e13)) = (e10))\/(((op1 (e13) (e13)) = (e11))\/(((op1 (e13) (e13)) = (e12))\/((op1 (e13) (e13)) = (e13))))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (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) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e11)) = (e12))\/((op1 (e10) (e11)) = (e13))))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((e10) = (e12))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> ((e12) = (op1 (op1 (op1 (e11) (e11)) (op1 (e11) (e11))) (op1 (e11) (e11)))) -> ((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e12))\/((op1 (e11) (e10)) = (e13))))) -> ((op2 (e22) (e21)) = (e22)) -> False).
% 54.96/55.18 do 0 intro. intros zenon_H77 zenon_H36e zenon_H355 zenon_H345 zenon_H35d zenon_H2d1 zenon_H2d9 zenon_H2e6 zenon_H2e2 zenon_H2ea zenon_H30b zenon_H321 zenon_H322 zenon_H325 zenon_H2f6 zenon_H2fb zenon_H2fd zenon_H32b zenon_H37d zenon_H2c2 zenon_H2c0 zenon_H32e zenon_H30e zenon_H2ad zenon_H2b9 zenon_H2e7 zenon_H358 zenon_H4f4 zenon_H461 zenon_H3f zenon_H44f zenon_H3b zenon_H2c9 zenon_H316 zenon_H360 zenon_H2f8 zenon_H301 zenon_H2a3 zenon_H2a5 zenon_H2b1 zenon_H313 zenon_H474 zenon_H100 zenon_H4c3 zenon_H328 zenon_H485 zenon_H4c2 zenon_H13 zenon_H245 zenon_H23b zenon_H236 zenon_H21a zenon_H20c zenon_H1be zenon_H1b1 zenon_H1de zenon_H1cc zenon_H1d8 zenon_H1da zenon_H1e8 zenon_H1ed zenon_H1f4 zenon_H1f7 zenon_H1fa zenon_H1fd zenon_H204 zenon_H206 zenon_H209 zenon_H1a9 zenon_H17 zenon_H1e zenon_H25 zenon_H1a0 zenon_H19d zenon_H246 zenon_H192 zenon_H18e zenon_H18a zenon_H16c zenon_H172 zenon_H179 zenon_H180 zenon_H186 zenon_H14b zenon_H154 zenon_H155 zenon_H15 zenon_H15a zenon_H15f zenon_Hd3.
% 54.96/55.18 apply (zenon_and_s _ _ zenon_H77). zenon_intro zenon_H57. zenon_intro zenon_H78.
% 54.96/55.18 apply (zenon_and_s _ _ zenon_H78). zenon_intro zenon_H121. zenon_intro zenon_Hda.
% 54.96/55.18 apply (zenon_and_s _ _ zenon_Hda). zenon_intro zenon_Hdc. zenon_intro zenon_Hdb.
% 54.96/55.18 apply (zenon_and_s _ _ zenon_Hdb). zenon_intro zenon_Hde. zenon_intro zenon_Hdd.
% 54.96/55.18 apply (zenon_and_s _ _ zenon_Hdd). zenon_intro zenon_Hd5. zenon_intro zenon_Hdf.
% 54.96/55.18 apply (zenon_or_s _ _ zenon_Hde); [ zenon_intro zenon_Hf2 | zenon_intro zenon_H101 ].
% 54.96/55.18 exact (zenon_Hf2 zenon_Hd3).
% 54.96/55.18 apply (zenon_L796_); trivial.
% 54.96/55.18 (* end of lemma zenon_L820_ *)
% 54.96/55.18 assert (zenon_L821_ : (((op2 (e22) (e20)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e22) (e23)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> (~((e22) = (e23))) -> ((op2 (e22) (e21)) = (e22)) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> ((e10) = (op1 (e11) (e11))) -> ((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> ((op1 (e10) (e12)) = (e10)) -> ((op1 (e12) (e10)) = (e10)) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e11) (e11)) = (e11))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> ((op1 (e11) (op1 (e11) (e12))) = (e12)) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e12))\/((op1 (e11) (e10)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> ((op1 (e11) (op1 (e11) (e11))) = (e11)) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> ((op1 (e11) (op1 (e11) (e10))) = (e10)) -> (~((op1 (e12) (e12)) = (e11))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e11)) = (e12))\/((op1 (e10) (e11)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (~((op1 (e12) (e13)) = (e12))) -> (~((op1 (e12) (e12)) = (e12))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((h2 (op1 (e12) (e12))) = (op2 (h2 (e12)) (h2 (e12))))) -> ((h2 (e13)) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((h2 (e12)) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> ((e22) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> ((op1 (e11) (op1 (e11) (e13))) = (e13)) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((e12) = (e13))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> ((e12) = (op1 (op1 (op1 (e11) (e11)) (op1 (e11) (e11))) (op1 (e11) (e11)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> ((e23) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((op2 (e21) (e21)) = (e23)) -> ((e20) = (op2 (e21) (e21))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> False).
% 54.96/55.18 do 0 intro. intros zenon_H3f1 zenon_H11f zenon_Hec zenon_Hd3 zenon_H25 zenon_H13 zenon_H15 zenon_H1e zenon_H17 zenon_H474 zenon_H18f zenon_H293 zenon_H1de zenon_H2c0 zenon_H473 zenon_H1a9 zenon_H1fa zenon_H30e zenon_H1ed zenon_H375 zenon_H32e zenon_H1be zenon_H1b1 zenon_H15f zenon_H14b zenon_H2a5 zenon_H2a6 zenon_H1da zenon_H2a3 zenon_H292 zenon_H23f zenon_H1d8 zenon_H2b1 zenon_H154 zenon_H15a zenon_H206 zenon_H19d zenon_H360 zenon_H2f8 zenon_H1fd zenon_H301 zenon_H316 zenon_H2c2 zenon_H209 zenon_H27d zenon_H1d1 zenon_H186 zenon_H204 zenon_H179 zenon_H180 zenon_H21a zenon_H23b zenon_H18e zenon_H4f4 zenon_H461 zenon_H44f zenon_H3f zenon_H358 zenon_H2c9 zenon_H29e zenon_H18a zenon_H236 zenon_H2e7 zenon_H2ad zenon_H1cc zenon_H2b9 zenon_H313 zenon_H155 zenon_H172 zenon_H1a0 zenon_H3b zenon_H388 zenon_H33 zenon_H116.
% 54.96/55.18 apply (zenon_or_s _ _ zenon_H3f1); [ zenon_intro zenon_H3df | zenon_intro zenon_H3f2 ].
% 54.96/55.18 apply (zenon_L364_); trivial.
% 54.96/55.18 apply (zenon_or_s _ _ zenon_H3f2); [ zenon_intro zenon_H3ba | zenon_intro zenon_H3f3 ].
% 54.96/55.18 apply (zenon_L350_); trivial.
% 54.96/55.18 apply (zenon_or_s _ _ zenon_H3f3); [ zenon_intro zenon_Hf6 | zenon_intro zenon_Heb ].
% 54.96/55.18 apply (zenon_L779_); trivial.
% 54.96/55.18 apply (zenon_L323_); trivial.
% 54.96/55.18 (* end of lemma zenon_L821_ *)
% 54.96/55.18 assert (zenon_L822_ : (((op2 (e22) (e20)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e22) (e23)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> ((e20) = (op2 (e21) (e21))) -> (~((e22) = (e23))) -> ((op2 (e22) (e21)) = (e22)) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> ((e10) = (op1 (e11) (e11))) -> ((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> ((op1 (e10) (e12)) = (e10)) -> ((op1 (e12) (e10)) = (e10)) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e11) (e11)) = (e11))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> ((op1 (e11) (op1 (e11) (e12))) = (e12)) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e12))\/((op1 (e11) (e10)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> ((op1 (e11) (op1 (e11) (e11))) = (e11)) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> ((op1 (e11) (op1 (e11) (e10))) = (e10)) -> (~((op1 (e12) (e12)) = (e11))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e11)) = (e12))\/((op1 (e10) (e11)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (~((op1 (e12) (e13)) = (e12))) -> (~((op1 (e12) (e12)) = (e12))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((h2 (op1 (e12) (e12))) = (op2 (h2 (e12)) (h2 (e12))))) -> ((h2 (e13)) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((e23) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((h2 (e12)) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> ((e22) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> ((op1 (e11) (op1 (e11) (e13))) = (e13)) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((e12) = (e13))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> ((e12) = (op1 (op1 (op1 (e11) (e11)) (op1 (e11) (e11))) (op1 (e11) (e11)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> ((op2 (e21) (op2 (e21) (e23))) = (e23)) -> ((op2 (e21) (e23)) = (e23)) -> False).
% 54.96/55.19 do 0 intro. intros zenon_H3f1 zenon_H11f zenon_H33 zenon_Hec zenon_Hd3 zenon_H25 zenon_H13 zenon_H15 zenon_H1e zenon_H17 zenon_H474 zenon_H18f zenon_H293 zenon_H1de zenon_H2c0 zenon_H473 zenon_H1a9 zenon_H1fa zenon_H30e zenon_H1ed zenon_H375 zenon_H32e zenon_H1be zenon_H1b1 zenon_H15f zenon_H14b zenon_H2a5 zenon_H2a6 zenon_H1da zenon_H2a3 zenon_H292 zenon_H23f zenon_H1d8 zenon_H2b1 zenon_H154 zenon_H15a zenon_H206 zenon_H19d zenon_H360 zenon_H2f8 zenon_H1fd zenon_H301 zenon_H316 zenon_H2c2 zenon_H209 zenon_H27d zenon_H1d1 zenon_H186 zenon_H204 zenon_H179 zenon_H180 zenon_H21a zenon_H23b zenon_H18e zenon_H4f4 zenon_H461 zenon_H3b zenon_H44f zenon_H3f zenon_H358 zenon_H2c9 zenon_H29e zenon_H18a zenon_H236 zenon_H2e7 zenon_H2ad zenon_H1cc zenon_H2b9 zenon_H313 zenon_H155 zenon_H172 zenon_H1a0 zenon_H394 zenon_H395 zenon_He9.
% 54.96/55.19 apply (zenon_or_s _ _ zenon_H3f1); [ zenon_intro zenon_H3df | zenon_intro zenon_H3f2 ].
% 54.96/55.19 apply (zenon_L364_); trivial.
% 54.96/55.19 apply (zenon_or_s _ _ zenon_H3f2); [ zenon_intro zenon_H3ba | zenon_intro zenon_H3f3 ].
% 54.96/55.19 apply (zenon_L350_); trivial.
% 54.96/55.19 apply (zenon_or_s _ _ zenon_H3f3); [ zenon_intro zenon_Hf6 | zenon_intro zenon_Heb ].
% 54.96/55.19 apply (zenon_L779_); trivial.
% 54.96/55.19 apply (zenon_L326_); trivial.
% 54.96/55.19 (* end of lemma zenon_L822_ *)
% 54.96/55.19 assert (zenon_L823_ : ((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13)))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> ((e23) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((e20) = (op2 (e21) (e21))) -> (((op2 (e22) (e20)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e22) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> ((op1 (e11) (op1 (e11) (e11))) = (e11)) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e11)) = (e12))\/((op1 (e10) (e11)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e12))\/((op1 (e11) (e10)) = (e13))))) -> (~((op1 (e11) (e11)) = (e11))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> ((e12) = (op1 (op1 (op1 (e11) (e11)) (op1 (e11) (e11))) (op1 (e11) (e11)))) -> ((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) -> ((e10) = (op1 (e11) (e11))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> ((h2 (e12)) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> ((e22) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> ((h2 (e13)) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> (~((h2 (op1 (e12) (e12))) = (op2 (h2 (e12)) (h2 (e12))))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((e12) = (e13))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> ((op1 (e11) (op1 (e11) (e12))) = (e12)) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> ((op1 (e11) (op1 (e11) (e13))) = (e13)) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e12) (e12)) = (e12))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e12)) = (e11))) -> ((op1 (e10) (e12)) = (e10)) -> ((op1 (e12) (e10)) = (e10)) -> ((op1 (e11) (op1 (e11) (e10))) = (e10)) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> ((op2 (e22) (e21)) = (e22)) -> (~((e22) = (e23))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> ((op2 (e21) (op2 (e21) (e22))) = (e22)) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> ((op2 (e20) (e21)) = (e21)) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e23)) = (e20))) -> ((op2 (e21) (op2 (e21) (e23))) = (e23)) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e21) (e20)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/((op2 (e21) (e23)) = (e23))))) -> False).
% 54.96/55.19 do 0 intro. intros zenon_H22c zenon_H45 zenon_H3b zenon_H33 zenon_H3f1 zenon_H116 zenon_H474 zenon_H313 zenon_H1b1 zenon_H18a zenon_H2b1 zenon_H2a6 zenon_H2a5 zenon_H2a3 zenon_H1d8 zenon_H206 zenon_H17 zenon_H301 zenon_H2f8 zenon_H1fd zenon_H360 zenon_H316 zenon_H19d zenon_H1be zenon_H14b zenon_H1a9 zenon_H15f zenon_H473 zenon_H154 zenon_H155 zenon_H15 zenon_H13 zenon_H2c9 zenon_H18e zenon_H44f zenon_H3f zenon_H461 zenon_H4f4 zenon_H358 zenon_H1e zenon_H209 zenon_H15a zenon_H2e7 zenon_H2b9 zenon_H236 zenon_H2ad zenon_H30e zenon_H375 zenon_H1ed zenon_H32e zenon_H29e zenon_H2c0 zenon_H2c2 zenon_H21a zenon_H186 zenon_H180 zenon_H179 zenon_H172 zenon_H204 zenon_H1d1 zenon_H23b zenon_H1da zenon_H1cc zenon_H23f zenon_H18f zenon_H293 zenon_H292 zenon_H1de zenon_H1fa zenon_H25 zenon_H1a0 zenon_Hd3 zenon_Hec zenon_H11f zenon_H489 zenon_H9f zenon_H481 zenon_H3a8 zenon_Hb9 zenon_H3c2 zenon_Had zenon_H395 zenon_H394 zenon_H399.
% 54.96/55.19 apply (zenon_or_s _ _ zenon_H22c); [ zenon_intro zenon_H27d | zenon_intro zenon_H29d ].
% 54.96/55.19 apply (zenon_or_s _ _ zenon_H399); [ zenon_intro zenon_H44 | zenon_intro zenon_H39a ].
% 54.96/55.19 apply (zenon_L10_); trivial.
% 54.96/55.19 apply (zenon_or_s _ _ zenon_H39a); [ zenon_intro zenon_H388 | zenon_intro zenon_H39b ].
% 54.96/55.19 apply (zenon_L821_); trivial.
% 54.96/55.19 apply (zenon_or_s _ _ zenon_H39b); [ zenon_intro zenon_H38e | zenon_intro zenon_He9 ].
% 54.96/55.19 apply (zenon_L590_); trivial.
% 54.96/55.19 apply (zenon_L822_); trivial.
% 54.96/55.19 apply (zenon_L144_); trivial.
% 54.96/55.19 (* end of lemma zenon_L823_ *)
% 54.96/55.19 assert (zenon_L824_ : (((op2 (e22) (e20)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e22) (e23)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> (~((e22) = (e23))) -> ((op2 (e22) (e21)) = (e22)) -> ((op1 (e11) (op1 (e11) (e13))) = (e13)) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> ((op1 (e11) (op1 (e11) (e12))) = (e12)) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> ((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) -> ((e10) = (op1 (e11) (e11))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (((op1 (e11) (e10)) = (e11))/\(((op1 (e10) (e11)) = (e11))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11))))/\(((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12))))/\((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13))))))))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (~((h2 (op1 (e12) (e12))) = (op2 (h2 (e12)) (h2 (e12))))) -> ((h2 (e13)) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((h2 (e12)) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> ((e22) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> (~((e12) = (e13))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> ((e12) = (op1 (op1 (op1 (e11) (e11)) (op1 (e11) (e11))) (op1 (e11) (e11)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e10) (e10)) = (e12))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e10)) = (e12))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e13) (e10)) = (e12))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (e10))) -> ((op1 (e10) (e11)) = (e11)) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> ((e23) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((op2 (e21) (e21)) = (e23)) -> ((e20) = (op2 (e21) (e21))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> False).
% 54.96/55.19 do 0 intro. intros zenon_H3f1 zenon_H11f zenon_Hec zenon_Hd3 zenon_H29e zenon_H1f4 zenon_H1cc zenon_H375 zenon_H30e zenon_H15 zenon_H13 zenon_H1e zenon_H2c9 zenon_H209 zenon_H204 zenon_H1f7 zenon_H1e8 zenon_H1a9 zenon_H259 zenon_H358 zenon_H2c0 zenon_H4f4 zenon_H461 zenon_H44f zenon_H3f zenon_H236 zenon_H2ad zenon_H2e7 zenon_H21a zenon_H23b zenon_H2b9 zenon_H15a zenon_H2c2 zenon_H155 zenon_H172 zenon_H18e zenon_H154 zenon_H1fa zenon_H4c4 zenon_H4c3 zenon_H180 zenon_H179 zenon_H186 zenon_H328 zenon_H25f zenon_H1fe zenon_H485 zenon_H25 zenon_H4c2 zenon_H3b zenon_H388 zenon_H33 zenon_H116.
% 54.96/55.19 apply (zenon_or_s _ _ zenon_H3f1); [ zenon_intro zenon_H3df | zenon_intro zenon_H3f2 ].
% 54.96/55.19 apply (zenon_L364_); trivial.
% 54.96/55.19 apply (zenon_or_s _ _ zenon_H3f2); [ zenon_intro zenon_H3ba | zenon_intro zenon_H3f3 ].
% 54.96/55.19 apply (zenon_L350_); trivial.
% 54.96/55.19 apply (zenon_or_s _ _ zenon_H3f3); [ zenon_intro zenon_Hf6 | zenon_intro zenon_Heb ].
% 54.96/55.19 apply (zenon_L787_); trivial.
% 54.96/55.19 apply (zenon_L323_); trivial.
% 54.96/55.19 (* end of lemma zenon_L824_ *)
% 54.96/55.19 assert (zenon_L825_ : (((op2 (e22) (e20)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e22) (e23)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> ((e20) = (op2 (e21) (e21))) -> (~((e22) = (e23))) -> ((op2 (e22) (e21)) = (e22)) -> ((op1 (e11) (op1 (e11) (e13))) = (e13)) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> ((op1 (e11) (op1 (e11) (e12))) = (e12)) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> ((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) -> ((e10) = (op1 (e11) (e11))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (((op1 (e11) (e10)) = (e11))/\(((op1 (e10) (e11)) = (e11))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11))))/\(((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12))))/\((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13))))))))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (~((h2 (op1 (e12) (e12))) = (op2 (h2 (e12)) (h2 (e12))))) -> ((h2 (e13)) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((e23) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((h2 (e12)) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> ((e22) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> (~((e12) = (e13))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> ((e12) = (op1 (op1 (op1 (e11) (e11)) (op1 (e11) (e11))) (op1 (e11) (e11)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e10) (e10)) = (e12))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e10)) = (e12))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e13) (e10)) = (e12))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (e10))) -> ((op1 (e10) (e11)) = (e11)) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> ((op2 (e21) (op2 (e21) (e23))) = (e23)) -> ((op2 (e21) (e23)) = (e23)) -> False).
% 54.96/55.19 do 0 intro. intros zenon_H3f1 zenon_H11f zenon_H33 zenon_Hec zenon_Hd3 zenon_H29e zenon_H1f4 zenon_H1cc zenon_H375 zenon_H30e zenon_H15 zenon_H13 zenon_H1e zenon_H2c9 zenon_H209 zenon_H204 zenon_H1f7 zenon_H1e8 zenon_H1a9 zenon_H259 zenon_H358 zenon_H2c0 zenon_H4f4 zenon_H461 zenon_H3b zenon_H44f zenon_H3f zenon_H236 zenon_H2ad zenon_H2e7 zenon_H21a zenon_H23b zenon_H2b9 zenon_H15a zenon_H2c2 zenon_H155 zenon_H172 zenon_H18e zenon_H154 zenon_H1fa zenon_H4c4 zenon_H4c3 zenon_H180 zenon_H179 zenon_H186 zenon_H328 zenon_H25f zenon_H1fe zenon_H485 zenon_H25 zenon_H4c2 zenon_H394 zenon_H395 zenon_He9.
% 54.96/55.19 apply (zenon_or_s _ _ zenon_H3f1); [ zenon_intro zenon_H3df | zenon_intro zenon_H3f2 ].
% 54.96/55.19 apply (zenon_L364_); trivial.
% 54.96/55.19 apply (zenon_or_s _ _ zenon_H3f2); [ zenon_intro zenon_H3ba | zenon_intro zenon_H3f3 ].
% 54.96/55.19 apply (zenon_L350_); trivial.
% 54.96/55.19 apply (zenon_or_s _ _ zenon_H3f3); [ zenon_intro zenon_Hf6 | zenon_intro zenon_Heb ].
% 54.96/55.19 apply (zenon_L787_); trivial.
% 54.96/55.19 apply (zenon_L326_); trivial.
% 54.96/55.19 (* end of lemma zenon_L825_ *)
% 54.96/55.19 assert (zenon_L826_ : (((op2 (e21) (e20)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/((op2 (e21) (e23)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> ((op2 (e21) (op2 (e21) (e22))) = (e22)) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> ((op2 (e20) (e21)) = (e21)) -> (~((op2 (e20) (e23)) = (e20))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (((op2 (e22) (e20)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e22) (e23)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> ((e20) = (op2 (e21) (e21))) -> (~((e22) = (e23))) -> ((op2 (e22) (e21)) = (e22)) -> ((op1 (e11) (op1 (e11) (e13))) = (e13)) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> ((op1 (e11) (op1 (e11) (e12))) = (e12)) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> ((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) -> ((e10) = (op1 (e11) (e11))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (((op1 (e11) (e10)) = (e11))/\(((op1 (e10) (e11)) = (e11))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11))))/\(((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12))))/\((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13))))))))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (~((h2 (op1 (e12) (e12))) = (op2 (h2 (e12)) (h2 (e12))))) -> ((h2 (e13)) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((e23) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((h2 (e12)) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> ((e22) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> (~((e12) = (e13))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> ((e12) = (op1 (op1 (op1 (e11) (e11)) (op1 (e11) (e11))) (op1 (e11) (e11)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e10) (e10)) = (e12))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e10)) = (e12))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e13) (e10)) = (e12))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (e10))) -> ((op1 (e10) (e11)) = (e11)) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> ((op2 (e21) (op2 (e21) (e23))) = (e23)) -> False).
% 54.96/55.19 do 0 intro. intros zenon_H399 zenon_H45 zenon_H116 zenon_H9f zenon_H481 zenon_H3a8 zenon_H3c2 zenon_Hb9 zenon_Had zenon_H489 zenon_H3f1 zenon_H11f zenon_H33 zenon_Hec zenon_Hd3 zenon_H29e zenon_H1f4 zenon_H1cc zenon_H375 zenon_H30e zenon_H15 zenon_H13 zenon_H1e zenon_H2c9 zenon_H209 zenon_H204 zenon_H1f7 zenon_H1e8 zenon_H1a9 zenon_H259 zenon_H358 zenon_H2c0 zenon_H4f4 zenon_H461 zenon_H3b zenon_H44f zenon_H3f zenon_H236 zenon_H2ad zenon_H2e7 zenon_H21a zenon_H23b zenon_H2b9 zenon_H15a zenon_H2c2 zenon_H155 zenon_H172 zenon_H18e zenon_H154 zenon_H1fa zenon_H4c4 zenon_H4c3 zenon_H180 zenon_H179 zenon_H186 zenon_H328 zenon_H25f zenon_H1fe zenon_H485 zenon_H25 zenon_H4c2 zenon_H394 zenon_H395.
% 54.96/55.19 apply (zenon_or_s _ _ zenon_H399); [ zenon_intro zenon_H44 | zenon_intro zenon_H39a ].
% 54.96/55.19 apply (zenon_L10_); trivial.
% 54.96/55.19 apply (zenon_or_s _ _ zenon_H39a); [ zenon_intro zenon_H388 | zenon_intro zenon_H39b ].
% 54.96/55.19 apply (zenon_L824_); trivial.
% 54.96/55.19 apply (zenon_or_s _ _ zenon_H39b); [ zenon_intro zenon_H38e | zenon_intro zenon_He9 ].
% 54.96/55.19 apply (zenon_L590_); trivial.
% 54.96/55.19 apply (zenon_L825_); trivial.
% 54.96/55.19 (* end of lemma zenon_L826_ *)
% 54.96/55.19 assert (zenon_L827_ : ((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> ((e23) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((e20) = (op2 (e21) (e21))) -> (((op2 (e22) (e20)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e22) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (~((op1 (e10) (e10)) = (e12))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e10)) = (e12))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e13) (e10)) = (e12))))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> ((h2 (e12)) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> ((e22) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> ((h2 (e13)) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> (~((h2 (op1 (e12) (e12))) = (op2 (h2 (e12)) (h2 (e12))))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((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)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> ((op1 (e10) (e11)) = (e11)) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> ((op1 (e11) (op1 (e11) (e12))) = (e12)) -> ((op1 (e11) (op1 (e11) (e13))) = (e13)) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> ((e10) = (op1 (e11) (e11))) -> ((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) -> ((e12) = (op1 (op1 (op1 (e11) (e11)) (op1 (e11) (e11))) (op1 (e11) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((e12) = (e13))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (((op1 (e11) (e10)) = (e11))/\(((op1 (e10) (e11)) = (e11))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11))))/\(((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12))))/\((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13))))))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> ((op2 (e22) (e21)) = (e22)) -> (~((e22) = (e23))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> ((op2 (e21) (op2 (e21) (e22))) = (e22)) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> ((op2 (e20) (e21)) = (e21)) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e23)) = (e20))) -> ((op2 (e21) (op2 (e21) (e23))) = (e23)) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e21) (e20)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/((op2 (e21) (e23)) = (e23))))) -> False).
% 54.96/55.19 do 0 intro. intros zenon_H25d zenon_H17 zenon_H1a0 zenon_H45 zenon_H3b zenon_H33 zenon_H3f1 zenon_H116 zenon_H4c4 zenon_H4c3 zenon_H2c9 zenon_H18e zenon_H44f zenon_H3f zenon_H461 zenon_H4f4 zenon_H358 zenon_H1e zenon_H328 zenon_H25 zenon_H204 zenon_H1cc zenon_H2b9 zenon_H23b zenon_H1fe zenon_H485 zenon_H30e zenon_H375 zenon_H29e zenon_H1f4 zenon_H1fa zenon_H21a zenon_H13 zenon_H15 zenon_H155 zenon_H154 zenon_H172 zenon_H179 zenon_H180 zenon_H186 zenon_H209 zenon_H15a zenon_H2e7 zenon_H236 zenon_H2ad zenon_H1e8 zenon_H259 zenon_H1a9 zenon_H1f7 zenon_H2c0 zenon_H2c2 zenon_H4c2 zenon_Hd3 zenon_Hec zenon_H11f zenon_H489 zenon_H9f zenon_H481 zenon_H3a8 zenon_Hb9 zenon_H3c2 zenon_Had zenon_H395 zenon_H394 zenon_H399.
% 55.06/55.19 apply (zenon_or_s _ _ zenon_H25d); [ zenon_intro zenon_H25f | zenon_intro zenon_H1a1 ].
% 55.06/55.19 apply (zenon_L826_); trivial.
% 55.06/55.19 apply (zenon_L79_); trivial.
% 55.06/55.19 (* end of lemma zenon_L827_ *)
% 55.06/55.19 assert (zenon_L828_ : ((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12)))) -> (((op2 (e21) (e20)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/((op2 (e21) (e23)) = (e23))))) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> ((op2 (e21) (op2 (e21) (e23))) = (e23)) -> (~((op2 (e20) (e23)) = (e20))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> ((op2 (e20) (e21)) = (e21)) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> ((op2 (e21) (op2 (e21) (e22))) = (e22)) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> (~((e22) = (e23))) -> ((op2 (e22) (e21)) = (e22)) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (((op1 (e11) (e10)) = (e11))/\(((op1 (e10) (e11)) = (e11))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11))))/\(((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12))))/\((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13))))))))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((e12) = (e13))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> ((e12) = (op1 (op1 (op1 (e11) (e11)) (op1 (e11) (e11))) (op1 (e11) (e11)))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e11) (op1 (e11) (e13))) = (e13)) -> ((op1 (e11) (op1 (e11) (e12))) = (e12)) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> ((op1 (e10) (e11)) = (e11)) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((h2 (op1 (e12) (e12))) = (op2 (h2 (e12)) (h2 (e12))))) -> ((h2 (e13)) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((e22) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> ((h2 (e12)) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e10)) = (e12))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e13) (e10)) = (e12))))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e22) (e20)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e22) (e23)) = (e23))))) -> ((e20) = (op2 (e21) (e21))) -> ((e23) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> ((e10) = (op1 (e11) (e11))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (~((op1 (e10) (e10)) = (e10))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> ((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> ((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))) -> False).
% 55.06/55.19 do 0 intro. intros zenon_H25e zenon_H399 zenon_H394 zenon_H395 zenon_Had zenon_H3c2 zenon_Hb9 zenon_H3a8 zenon_H481 zenon_H9f zenon_H489 zenon_H11f zenon_Hec zenon_Hd3 zenon_H4c2 zenon_H2c2 zenon_H2c0 zenon_H1f7 zenon_H1a9 zenon_H259 zenon_H1e8 zenon_H2ad zenon_H236 zenon_H2e7 zenon_H15a zenon_H209 zenon_H186 zenon_H180 zenon_H179 zenon_H172 zenon_H154 zenon_H155 zenon_H21a zenon_H1fa zenon_H1f4 zenon_H29e zenon_H375 zenon_H30e zenon_H485 zenon_H1fe zenon_H23b zenon_H2b9 zenon_H1cc zenon_H204 zenon_H328 zenon_H358 zenon_H4f4 zenon_H461 zenon_H3f zenon_H44f zenon_H18e zenon_H2c9 zenon_H4c3 zenon_H116 zenon_H3f1 zenon_H33 zenon_H3b zenon_H45 zenon_H246 zenon_H13 zenon_H19d zenon_H146 zenon_H1a0 zenon_H25 zenon_H1e zenon_H15 zenon_H17 zenon_H25d.
% 55.06/55.19 apply (zenon_or_s _ _ zenon_H25e); [ zenon_intro zenon_H458 | zenon_intro zenon_H4c4 ].
% 55.06/55.19 apply (zenon_L629_); trivial.
% 55.06/55.19 apply (zenon_L827_); trivial.
% 55.06/55.19 (* end of lemma zenon_L828_ *)
% 55.06/55.19 assert (zenon_L829_ : (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> ((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> ((e10) = (op1 (e11) (e11))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> ((e23) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((e20) = (op2 (e21) (e21))) -> (((op2 (e22) (e20)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e22) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e10)) = (e12))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e13) (e10)) = (e12))))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> ((h2 (e12)) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> ((e22) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> ((h2 (e13)) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> (~((h2 (op1 (e12) (e12))) = (op2 (h2 (e12)) (h2 (e12))))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> ((op1 (e11) (op1 (e11) (e12))) = (e12)) -> ((op1 (e11) (op1 (e11) (e13))) = (e13)) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> ((e12) = (op1 (op1 (op1 (e11) (e11)) (op1 (e11) (e11))) (op1 (e11) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((e12) = (e13))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (((op1 (e11) (e10)) = (e11))/\(((op1 (e10) (e11)) = (e11))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11))))/\(((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12))))/\((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13))))))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> ((op2 (e22) (e21)) = (e22)) -> (~((e22) = (e23))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> ((op2 (e21) (op2 (e21) (e22))) = (e22)) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> ((op2 (e20) (e21)) = (e21)) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e23)) = (e20))) -> ((op2 (e21) (op2 (e21) (e23))) = (e23)) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e21) (e20)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/((op2 (e21) (e23)) = (e23))))) -> False).
% 55.06/55.19 do 0 intro. intros zenon_H17 zenon_H15 zenon_H1e zenon_H25 zenon_H1a0 zenon_H19d zenon_H13 zenon_H246 zenon_H45 zenon_H3b zenon_H33 zenon_H3f1 zenon_H116 zenon_H4c3 zenon_H2c9 zenon_H18e zenon_H44f zenon_H3f zenon_H461 zenon_H4f4 zenon_H358 zenon_H328 zenon_H204 zenon_H1cc zenon_H2b9 zenon_H23b zenon_H485 zenon_H30e zenon_H375 zenon_H29e zenon_H1f4 zenon_H1fa zenon_H21a zenon_H155 zenon_H154 zenon_H172 zenon_H179 zenon_H180 zenon_H186 zenon_H209 zenon_H15a zenon_H2e7 zenon_H236 zenon_H2ad zenon_H1e8 zenon_H259 zenon_H1a9 zenon_H1f7 zenon_H2c0 zenon_H2c2 zenon_H4c2 zenon_Hd3 zenon_Hec zenon_H11f zenon_H489 zenon_H9f zenon_H481 zenon_H3a8 zenon_Hb9 zenon_H3c2 zenon_Had zenon_H395 zenon_H394 zenon_H399.
% 55.06/55.19 apply (zenon_and_s _ _ zenon_H259). zenon_intro zenon_H163. zenon_intro zenon_H25a.
% 55.06/55.19 apply (zenon_and_s _ _ zenon_H25a). zenon_intro zenon_H1fe. zenon_intro zenon_H149.
% 55.06/55.19 apply (zenon_and_s _ _ zenon_H149). zenon_intro zenon_H144. zenon_intro zenon_H14a.
% 55.06/55.19 apply (zenon_and_s _ _ zenon_H14a). zenon_intro zenon_H25c. zenon_intro zenon_H25b.
% 55.06/55.19 apply (zenon_and_s _ _ zenon_H25b). zenon_intro zenon_H25e. zenon_intro zenon_H25d.
% 55.06/55.19 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_H146 | zenon_intro zenon_H146 ].
% 55.06/55.19 apply (zenon_L828_); trivial.
% 55.06/55.19 apply (zenon_L828_); trivial.
% 55.06/55.19 (* end of lemma zenon_L829_ *)
% 55.06/55.19 assert (zenon_L830_ : ((((op1 (e10) (e10)) = (e10))/\(((op1 (e10) (e10)) = (e10))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11))))/\(((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12))))/\((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))))))))\/((((op1 (e10) (e11)) = (e10))/\(((op1 (e11) (e10)) = (e10))/\(((~((op1 (e11) (e10)) = (e11)))\/(~((op1 (e11) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e11) (e12)) = (e11)))\/(~((op1 (e11) (e11)) = (e12))))/\((~((op1 (e11) (e13)) = (e11)))\/(~((op1 (e11) (e11)) = (e13)))))))))\/((((op1 (e10) (e12)) = (e10))/\(((op1 (e12) (e10)) = (e10))/\(((~((op1 (e12) (e10)) = (e12)))\/(~((op1 (e12) (e12)) = (e10))))/\(((~((op1 (e12) (e11)) = (e12)))\/(~((op1 (e12) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13)))))))))\/((((op1 (e10) (e13)) = (e10))/\(((op1 (e13) (e10)) = (e10))/\(((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e13) (e13)) = (e10))))/\(((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11))))/\(((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e13) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13)))))))))\/((((op1 (e11) (e10)) = (e11))/\(((op1 (e10) (e11)) = (e11))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11))))/\(((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12))))/\((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))))))))\/((((op1 (e11) (e11)) = (e11))/\(((op1 (e11) (e11)) = (e11))/\(((~((op1 (e11) (e10)) = (e11)))\/(~((op1 (e11) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e11) (e12)) = (e11)))\/(~((op1 (e11) (e11)) = (e12))))/\((~((op1 (e11) (e13)) = (e11)))\/(~((op1 (e11) (e11)) = (e13)))))))))\/((((op1 (e11) (e12)) = (e11))/\(((op1 (e12) (e11)) = (e11))/\(((~((op1 (e12) (e10)) = (e12)))\/(~((op1 (e12) (e12)) = (e10))))/\(((~((op1 (e12) (e11)) = (e12)))\/(~((op1 (e12) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13)))))))))\/((((op1 (e11) (e13)) = (e11))/\(((op1 (e13) (e11)) = (e11))/\(((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e13) (e13)) = (e10))))/\(((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11))))/\(((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e13) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13)))))))))\/((((op1 (e12) (e10)) = (e12))/\(((op1 (e10) (e12)) = (e12))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11))))/\(((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12))))/\((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))))))))\/((((op1 (e12) (e11)) = (e12))/\(((op1 (e11) (e12)) = (e12))/\(((~((op1 (e11) (e10)) = (e11)))\/(~((op1 (e11) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e11) (e12)) = (e11)))\/(~((op1 (e11) (e11)) = (e12))))/\((~((op1 (e11) (e13)) = (e11)))\/(~((op1 (e11) (e11)) = (e13)))))))))\/((((op1 (e12) (e12)) = (e12))/\(((op1 (e12) (e12)) = (e12))/\(((~((op1 (e12) (e10)) = (e12)))\/(~((op1 (e12) (e12)) = (e10))))/\(((~((op1 (e12) (e11)) = (e12)))\/(~((op1 (e12) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13)))))))))\/((((op1 (e12) (e13)) = (e12))/\(((op1 (e13) (e12)) = (e12))/\(((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e13) (e13)) = (e10))))/\(((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11))))/\(((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e13) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13)))))))))\/((((op1 (e13) (e10)) = (e13))/\(((op1 (e10) (e13)) = (e13))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11))))/\(((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12))))/\((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))))))))\/((((op1 (e13) (e11)) = (e13))/\(((op1 (e11) (e13)) = (e13))/\(((~((op1 (e11) (e10)) = (e11)))\/(~((op1 (e11) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e11) (e12)) = (e11)))\/(~((op1 (e11) (e11)) = (e12))))/\((~((op1 (e11) (e13)) = (e11)))\/(~((op1 (e11) (e11)) = (e13)))))))))\/((((op1 (e13) (e12)) = (e13))/\(((op1 (e12) (e13)) = (e13))/\(((~((op1 (e12) (e10)) = (e12)))\/(~((op1 (e12) (e12)) = (e10))))/\(((~((op1 (e12) (e11)) = (e12)))\/(~((op1 (e12) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13)))))))))\/(((op1 (e13) (e13)) = (e13))/\(((op1 (e13) (e13)) = (e13))/\(((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e13) (e13)) = (e10))))/\(((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11))))/\(((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e13) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13)))))))))))))))))))))))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e11)) = (e12))\/((op1 (e10) (e11)) = (e13))))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e11) (e11)) = (e11))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((e10) = (e12))) -> (((op2 (e21) (e20)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/((op2 (e21) (e23)) = (e23))))) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> ((op2 (e21) (op2 (e21) (e23))) = (e23)) -> (~((op2 (e20) (e23)) = (e20))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> ((op2 (e20) (e21)) = (e21)) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> ((op2 (e21) (op2 (e21) (e22))) = (e22)) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> (~((e22) = (e23))) -> ((op2 (e22) (e21)) = (e22)) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (~((e12) = (e13))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> ((op1 (e11) (op1 (e11) (e12))) = (e12)) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((h2 (op1 (e12) (e12))) = (op2 (h2 (e12)) (h2 (e12))))) -> ((h2 (e13)) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((e22) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> ((h2 (e12)) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e10)) = (e12))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e13) (e10)) = (e12))))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e22) (e20)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e22) (e23)) = (e23))))) -> ((e20) = (op2 (e21) (e21))) -> ((e23) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e12)) = (e11))) -> ((op1 (e11) (op1 (e11) (e10))) = (e10)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> ((op1 (e11) (op1 (e11) (e11))) = (e11)) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e13) (e13)) = (e11))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e13)) = (e10))\/(((op1 (e13) (e13)) = (e11))\/(((op1 (e13) (e13)) = (e12))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e12))\/((op1 (e11) (e10)) = (e13))))) -> ((e12) = (op1 (op1 (op1 (e11) (e11)) (op1 (e11) (e11))) (op1 (e11) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> ((op1 (e11) (op1 (e11) (e13))) = (e13)) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> ((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) -> ((e10) = (op1 (e11) (e11))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> False).
% 55.06/55.19 do 0 intro. intros zenon_H245 zenon_H474 zenon_H313 zenon_H1b1 zenon_H206 zenon_H301 zenon_H2f8 zenon_H1fd zenon_H360 zenon_H316 zenon_H473 zenon_H1ed zenon_H32e zenon_H1de zenon_H16c zenon_H399 zenon_H394 zenon_H395 zenon_Had zenon_H3c2 zenon_Hb9 zenon_H3a8 zenon_H481 zenon_H9f zenon_H489 zenon_H11f zenon_Hec zenon_Hd3 zenon_H4c2 zenon_H1f7 zenon_H1e8 zenon_H236 zenon_H2e7 zenon_H209 zenon_H375 zenon_H30e zenon_H485 zenon_H23b zenon_H204 zenon_H328 zenon_H358 zenon_H4f4 zenon_H461 zenon_H3f zenon_H44f zenon_H2c9 zenon_H4c3 zenon_H116 zenon_H3f1 zenon_H33 zenon_H3b zenon_H45 zenon_H246 zenon_H19d zenon_H1a9 zenon_H1a0 zenon_H1e zenon_H17 zenon_H18e zenon_H186 zenon_H172 zenon_H1da zenon_H1d8 zenon_H1cc zenon_H23f zenon_H292 zenon_H2a3 zenon_H2a5 zenon_H2a6 zenon_H2ad zenon_H2b1 zenon_H1fa zenon_H1be zenon_H18a zenon_H20d zenon_H180 zenon_H20c zenon_H21a zenon_H179 zenon_H25 zenon_H15f zenon_H155 zenon_H154 zenon_H14b zenon_H29e zenon_H2c0 zenon_H1f4 zenon_H15 zenon_H13 zenon_H2b9 zenon_H15a zenon_H2c2.
% 55.06/55.19 apply (zenon_or_s _ _ zenon_H245); [ zenon_intro zenon_H147 | zenon_intro zenon_H254 ].
% 55.06/55.19 apply (zenon_L60_); trivial.
% 55.06/55.19 apply (zenon_or_s _ _ zenon_H254); [ zenon_intro zenon_H164 | zenon_intro zenon_H255 ].
% 55.06/55.19 apply (zenon_L66_); trivial.
% 55.06/55.19 apply (zenon_or_s _ _ zenon_H255); [ zenon_intro zenon_H197 | zenon_intro zenon_H256 ].
% 55.06/55.19 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_H18f. zenon_intro zenon_H198.
% 55.06/55.19 apply (zenon_and_s _ _ zenon_H198). zenon_intro zenon_H293. zenon_intro zenon_H227.
% 55.06/55.19 apply (zenon_and_s _ _ zenon_H227). zenon_intro zenon_H229. zenon_intro zenon_H228.
% 55.06/55.19 apply (zenon_and_s _ _ zenon_H228). zenon_intro zenon_H22b. zenon_intro zenon_H22a.
% 55.06/55.19 apply (zenon_and_s _ _ zenon_H22a). zenon_intro zenon_H224. zenon_intro zenon_H22c.
% 55.06/55.19 apply (zenon_or_s _ _ zenon_H224); [ zenon_intro zenon_H1d1 | zenon_intro zenon_H1d1 ].
% 55.06/55.19 apply (zenon_L823_); trivial.
% 55.06/55.19 apply (zenon_L823_); trivial.
% 55.06/55.19 apply (zenon_or_s _ _ zenon_H256); [ zenon_intro zenon_H199 | zenon_intro zenon_H257 ].
% 55.06/55.19 apply (zenon_L77_); trivial.
% 55.06/55.19 apply (zenon_or_s _ _ zenon_H257); [ zenon_intro zenon_H259 | zenon_intro zenon_H258 ].
% 55.06/55.19 apply (zenon_L829_); trivial.
% 55.06/55.19 apply (zenon_or_s _ _ zenon_H258); [ zenon_intro zenon_H1a5 | zenon_intro zenon_H262 ].
% 55.06/55.19 apply (zenon_L80_); trivial.
% 55.06/55.19 apply (zenon_or_s _ _ zenon_H262); [ zenon_intro zenon_H1ae | zenon_intro zenon_H263 ].
% 55.06/55.19 apply (zenon_L83_); trivial.
% 55.06/55.19 apply (zenon_or_s _ _ zenon_H263); [ zenon_intro zenon_H212 | zenon_intro zenon_H264 ].
% 55.06/55.19 apply (zenon_L161_); trivial.
% 55.06/55.19 apply (zenon_or_s _ _ zenon_H264); [ zenon_intro zenon_H220 | zenon_intro zenon_H265 ].
% 55.06/55.19 apply (zenon_L110_); trivial.
% 55.06/55.19 apply (zenon_or_s _ _ zenon_H265); [ zenon_intro zenon_H222 | zenon_intro zenon_H266 ].
% 55.06/55.19 apply (zenon_L111_); trivial.
% 55.06/55.19 apply (zenon_or_s _ _ zenon_H266); [ zenon_intro zenon_H225 | zenon_intro zenon_H267 ].
% 55.06/55.19 apply (zenon_L113_); trivial.
% 55.06/55.19 apply (zenon_or_s _ _ zenon_H267); [ zenon_intro zenon_H22d | zenon_intro zenon_H268 ].
% 55.06/55.19 apply (zenon_L114_); trivial.
% 55.06/55.19 apply (zenon_or_s _ _ zenon_H268); [ zenon_intro zenon_H230 | zenon_intro zenon_H269 ].
% 55.06/55.19 apply (zenon_L115_); trivial.
% 55.06/55.19 apply (zenon_or_s _ _ zenon_H269); [ zenon_intro zenon_H232 | zenon_intro zenon_H26a ].
% 55.06/55.19 apply (zenon_L116_); trivial.
% 55.06/55.19 apply (zenon_or_s _ _ zenon_H26a); [ zenon_intro zenon_H240 | zenon_intro zenon_H242 ].
% 55.06/55.19 apply (zenon_L166_); trivial.
% 55.06/55.19 apply (zenon_L125_); trivial.
% 55.06/55.19 (* end of lemma zenon_L830_ *)
% 55.06/55.19 assert (zenon_L831_ : (((op2 (e22) (e20)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e22) (e23)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> (~((e22) = (e23))) -> ((op2 (e22) (e21)) = (e22)) -> ((op1 (e13) (e11)) = (e13)) -> ((op1 (e11) (op1 (e11) (e13))) = (e13)) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e12))\/((op1 (e11) (e10)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> ((e12) = (op1 (op1 (op1 (e11) (e11)) (op1 (e11) (e11))) (op1 (e11) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> ((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) -> ((e10) = (op1 (e11) (e11))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (~((op1 (e11) (e11)) = (e11))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> ((op1 (e11) (op1 (e11) (e12))) = (e12)) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (~((op1 (e12) (e13)) = (e12))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((e12) = (e13))) -> ((e22) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> ((h2 (e12)) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> ((h2 (e13)) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> (~((h2 (op1 (e12) (e12))) = (op2 (h2 (e12)) (h2 (e12))))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> ((op1 (e11) (op1 (e11) (e10))) = (e10)) -> ((op1 (e12) (e10)) = (e10)) -> ((op1 (e10) (e12)) = (e10)) -> (~((op1 (e12) (e12)) = (e11))) -> (~((op1 (e12) (e12)) = (e12))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> ((e23) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((op2 (e21) (e21)) = (e23)) -> ((e20) = (op2 (e21) (e21))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> False).
% 55.06/55.19 do 0 intro. intros zenon_H3f1 zenon_H11f zenon_Hec zenon_Hd3 zenon_H1c3 zenon_H29e zenon_H18a zenon_H15f zenon_H14b zenon_H1a9 zenon_H155 zenon_H154 zenon_H15 zenon_H13 zenon_H15a zenon_H473 zenon_H1fa zenon_H172 zenon_H2c2 zenon_H2b9 zenon_H180 zenon_H179 zenon_H32e zenon_H30e zenon_H375 zenon_H1ed zenon_H27d zenon_H186 zenon_H2e7 zenon_H2ad zenon_H236 zenon_H3f zenon_H44f zenon_H461 zenon_H4f4 zenon_H2c0 zenon_H2c9 zenon_H1e zenon_H358 zenon_H18e zenon_H23b zenon_H21a zenon_H204 zenon_H209 zenon_H1da zenon_H1de zenon_H292 zenon_H293 zenon_H18f zenon_H23f zenon_H1d1 zenon_H1cc zenon_H474 zenon_H3b zenon_H388 zenon_H33 zenon_H116.
% 55.06/55.19 apply (zenon_or_s _ _ zenon_H3f1); [ zenon_intro zenon_H3df | zenon_intro zenon_H3f2 ].
% 55.06/55.19 apply (zenon_L364_); trivial.
% 55.06/55.19 apply (zenon_or_s _ _ zenon_H3f2); [ zenon_intro zenon_H3ba | zenon_intro zenon_H3f3 ].
% 55.06/55.19 apply (zenon_L350_); trivial.
% 55.06/55.19 apply (zenon_or_s _ _ zenon_H3f3); [ zenon_intro zenon_Hf6 | zenon_intro zenon_Heb ].
% 55.06/55.19 apply (zenon_L805_); trivial.
% 55.06/55.19 apply (zenon_L323_); trivial.
% 55.06/55.19 (* end of lemma zenon_L831_ *)
% 55.06/55.19 assert (zenon_L832_ : (((op2 (e22) (e20)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e22) (e23)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> ((e20) = (op2 (e21) (e21))) -> (~((e22) = (e23))) -> ((op2 (e22) (e21)) = (e22)) -> ((op1 (e13) (e11)) = (e13)) -> ((op1 (e11) (op1 (e11) (e13))) = (e13)) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e12))\/((op1 (e11) (e10)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> ((e12) = (op1 (op1 (op1 (e11) (e11)) (op1 (e11) (e11))) (op1 (e11) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> ((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) -> ((e10) = (op1 (e11) (e11))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (~((op1 (e11) (e11)) = (e11))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> ((op1 (e11) (op1 (e11) (e12))) = (e12)) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (~((op1 (e12) (e13)) = (e12))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((e12) = (e13))) -> ((e22) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> ((h2 (e12)) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> ((e23) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((h2 (e13)) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> (~((h2 (op1 (e12) (e12))) = (op2 (h2 (e12)) (h2 (e12))))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> ((op1 (e11) (op1 (e11) (e10))) = (e10)) -> ((op1 (e12) (e10)) = (e10)) -> ((op1 (e10) (e12)) = (e10)) -> (~((op1 (e12) (e12)) = (e11))) -> (~((op1 (e12) (e12)) = (e12))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> ((op2 (e21) (op2 (e21) (e23))) = (e23)) -> ((op2 (e21) (e23)) = (e23)) -> False).
% 55.06/55.19 do 0 intro. intros zenon_H3f1 zenon_H11f zenon_H33 zenon_Hec zenon_Hd3 zenon_H1c3 zenon_H29e zenon_H18a zenon_H15f zenon_H14b zenon_H1a9 zenon_H155 zenon_H154 zenon_H15 zenon_H13 zenon_H15a zenon_H473 zenon_H1fa zenon_H172 zenon_H2c2 zenon_H2b9 zenon_H180 zenon_H179 zenon_H32e zenon_H30e zenon_H375 zenon_H1ed zenon_H27d zenon_H186 zenon_H2e7 zenon_H2ad zenon_H236 zenon_H3f zenon_H44f zenon_H3b zenon_H461 zenon_H4f4 zenon_H2c0 zenon_H2c9 zenon_H1e zenon_H358 zenon_H18e zenon_H23b zenon_H21a zenon_H204 zenon_H209 zenon_H1da zenon_H1de zenon_H292 zenon_H293 zenon_H18f zenon_H23f zenon_H1d1 zenon_H1cc zenon_H474 zenon_H394 zenon_H395 zenon_He9.
% 55.06/55.19 apply (zenon_or_s _ _ zenon_H3f1); [ zenon_intro zenon_H3df | zenon_intro zenon_H3f2 ].
% 55.06/55.19 apply (zenon_L364_); trivial.
% 55.06/55.19 apply (zenon_or_s _ _ zenon_H3f2); [ zenon_intro zenon_H3ba | zenon_intro zenon_H3f3 ].
% 55.06/55.19 apply (zenon_L350_); trivial.
% 55.06/55.19 apply (zenon_or_s _ _ zenon_H3f3); [ zenon_intro zenon_Hf6 | zenon_intro zenon_Heb ].
% 55.06/55.19 apply (zenon_L805_); trivial.
% 55.06/55.19 apply (zenon_L326_); trivial.
% 55.06/55.19 (* end of lemma zenon_L832_ *)
% 55.06/55.19 assert (zenon_L833_ : (((op2 (e21) (e20)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/((op2 (e21) (e23)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> ((op2 (e21) (op2 (e21) (e22))) = (e22)) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> ((op2 (e20) (e21)) = (e21)) -> (~((op2 (e20) (e23)) = (e20))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (((op2 (e22) (e20)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e22) (e23)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> ((e20) = (op2 (e21) (e21))) -> (~((e22) = (e23))) -> ((op2 (e22) (e21)) = (e22)) -> ((op1 (e13) (e11)) = (e13)) -> ((op1 (e11) (op1 (e11) (e13))) = (e13)) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e12))\/((op1 (e11) (e10)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> ((e12) = (op1 (op1 (op1 (e11) (e11)) (op1 (e11) (e11))) (op1 (e11) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> ((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) -> ((e10) = (op1 (e11) (e11))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (~((op1 (e11) (e11)) = (e11))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> ((op1 (e11) (op1 (e11) (e12))) = (e12)) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (~((op1 (e12) (e13)) = (e12))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((e12) = (e13))) -> ((e22) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> ((h2 (e12)) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> ((e23) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((h2 (e13)) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> (~((h2 (op1 (e12) (e12))) = (op2 (h2 (e12)) (h2 (e12))))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> ((op1 (e11) (op1 (e11) (e10))) = (e10)) -> ((op1 (e12) (e10)) = (e10)) -> ((op1 (e10) (e12)) = (e10)) -> (~((op1 (e12) (e12)) = (e11))) -> (~((op1 (e12) (e12)) = (e12))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> ((op2 (e21) (op2 (e21) (e23))) = (e23)) -> False).
% 55.06/55.19 do 0 intro. intros zenon_H399 zenon_H45 zenon_H116 zenon_H9f zenon_H481 zenon_H3a8 zenon_H3c2 zenon_Hb9 zenon_Had zenon_H489 zenon_H3f1 zenon_H11f zenon_H33 zenon_Hec zenon_Hd3 zenon_H1c3 zenon_H29e zenon_H18a zenon_H15f zenon_H14b zenon_H1a9 zenon_H155 zenon_H154 zenon_H15 zenon_H13 zenon_H15a zenon_H473 zenon_H1fa zenon_H172 zenon_H2c2 zenon_H2b9 zenon_H180 zenon_H179 zenon_H32e zenon_H30e zenon_H375 zenon_H1ed zenon_H27d zenon_H186 zenon_H2e7 zenon_H2ad zenon_H236 zenon_H3f zenon_H44f zenon_H3b zenon_H461 zenon_H4f4 zenon_H2c0 zenon_H2c9 zenon_H1e zenon_H358 zenon_H18e zenon_H23b zenon_H21a zenon_H204 zenon_H209 zenon_H1da zenon_H1de zenon_H292 zenon_H293 zenon_H18f zenon_H23f zenon_H1d1 zenon_H1cc zenon_H474 zenon_H394 zenon_H395.
% 55.06/55.19 apply (zenon_or_s _ _ zenon_H399); [ zenon_intro zenon_H44 | zenon_intro zenon_H39a ].
% 55.07/55.20 apply (zenon_L10_); trivial.
% 55.07/55.20 apply (zenon_or_s _ _ zenon_H39a); [ zenon_intro zenon_H388 | zenon_intro zenon_H39b ].
% 55.07/55.20 apply (zenon_L831_); trivial.
% 55.07/55.20 apply (zenon_or_s _ _ zenon_H39b); [ zenon_intro zenon_H38e | zenon_intro zenon_He9 ].
% 55.07/55.20 apply (zenon_L590_); trivial.
% 55.07/55.20 apply (zenon_L832_); trivial.
% 55.07/55.20 (* end of lemma zenon_L833_ *)
% 55.07/55.20 assert (zenon_L834_ : ((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13)))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> ((e23) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((e20) = (op2 (e21) (e21))) -> (((op2 (e22) (e20)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e22) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> ((op1 (e11) (op1 (e11) (e10))) = (e10)) -> ((op1 (e12) (e10)) = (e10)) -> ((op1 (e10) (e12)) = (e10)) -> (~((op1 (e12) (e12)) = (e11))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e12) (e12)) = (e12))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> ((op1 (e11) (op1 (e11) (e13))) = (e13)) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> ((op1 (e11) (op1 (e11) (e12))) = (e12)) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((e12) = (e13))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((h2 (op1 (e12) (e12))) = (op2 (h2 (e12)) (h2 (e12))))) -> ((h2 (e13)) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((e22) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> ((h2 (e12)) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> ((e10) = (op1 (e11) (e11))) -> ((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) -> ((e12) = (op1 (op1 (op1 (e11) (e11)) (op1 (e11) (e11))) (op1 (e11) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e11) (e11)) = (e11))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e12))\/((op1 (e11) (e10)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> ((op1 (e13) (e11)) = (e13)) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> ((op2 (e22) (e21)) = (e22)) -> (~((e22) = (e23))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> ((op2 (e21) (op2 (e21) (e22))) = (e22)) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> ((op2 (e20) (e21)) = (e21)) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e23)) = (e20))) -> ((op2 (e21) (op2 (e21) (e23))) = (e23)) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e21) (e20)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/((op2 (e21) (e23)) = (e23))))) -> False).
% 55.07/55.20 do 0 intro. intros zenon_H22c zenon_H45 zenon_H3b zenon_H33 zenon_H3f1 zenon_H116 zenon_H1fa zenon_H1de zenon_H292 zenon_H293 zenon_H18f zenon_H23f zenon_H1cc zenon_H1da zenon_H23b zenon_H1d1 zenon_H204 zenon_H172 zenon_H179 zenon_H180 zenon_H186 zenon_H21a zenon_H2c2 zenon_H2c0 zenon_H29e zenon_H32e zenon_H1ed zenon_H375 zenon_H30e zenon_H2ad zenon_H236 zenon_H2b9 zenon_H2e7 zenon_H15a zenon_H209 zenon_H1e zenon_H358 zenon_H4f4 zenon_H461 zenon_H3f zenon_H44f zenon_H18e zenon_H2c9 zenon_H13 zenon_H15 zenon_H155 zenon_H154 zenon_H473 zenon_H15f zenon_H1a9 zenon_H14b zenon_H18a zenon_H1c3 zenon_H474 zenon_Hd3 zenon_Hec zenon_H11f zenon_H489 zenon_H9f zenon_H481 zenon_H3a8 zenon_Hb9 zenon_H3c2 zenon_Had zenon_H395 zenon_H394 zenon_H399.
% 55.07/55.20 apply (zenon_or_s _ _ zenon_H22c); [ zenon_intro zenon_H27d | zenon_intro zenon_H29d ].
% 55.07/55.20 apply (zenon_L833_); trivial.
% 55.07/55.20 apply (zenon_L144_); trivial.
% 55.07/55.20 (* end of lemma zenon_L834_ *)
% 55.07/55.20 assert (zenon_L835_ : (((op2 (e22) (e20)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e22) (e23)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> (~((e22) = (e23))) -> ((op2 (e22) (e21)) = (e22)) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> ((e10) = (op1 (e11) (e11))) -> ((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> ((op1 (e10) (e12)) = (e10)) -> ((op1 (e12) (e10)) = (e10)) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e11)) = (e11))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (~((h2 (op1 (e12) (e12))) = (op2 (h2 (e12)) (h2 (e12))))) -> ((h2 (e13)) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((h2 (e12)) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> ((e22) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> ((e12) = (op1 (op1 (op1 (e11) (e11)) (op1 (e11) (e11))) (op1 (e11) (e11)))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e12) (e12)) = (e12))) -> (~((op1 (e12) (e13)) = (e12))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> ((op1 (e11) (op1 (e11) (e12))) = (e12)) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e12))\/((op1 (e11) (e10)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> ((op1 (e11) (op1 (e11) (e11))) = (e11)) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> ((op1 (e11) (op1 (e11) (e10))) = (e10)) -> (~((op1 (e12) (e12)) = (e11))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e11)) = (e12))\/((op1 (e10) (e11)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e11) (e11)) = (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 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((e12) = (e13))) -> ((op1 (e12) (e11)) = (e12)) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> ((op1 (e11) (op1 (e11) (e13))) = (e13)) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> ((e23) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((op2 (e21) (e21)) = (e23)) -> ((e20) = (op2 (e21) (e21))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> False).
% 55.07/55.20 do 0 intro. intros zenon_H3f1 zenon_H11f zenon_Hec zenon_Hd3 zenon_H25 zenon_H13 zenon_H15 zenon_H1e zenon_H17 zenon_H474 zenon_H18f zenon_H293 zenon_H1de zenon_H473 zenon_H1a9 zenon_H1fa zenon_H2c0 zenon_H4f4 zenon_H461 zenon_H44f zenon_H3f zenon_H358 zenon_H23b zenon_H155 zenon_H21a zenon_H1d1 zenon_H27d zenon_H30e zenon_H186 zenon_H1ed zenon_H375 zenon_H32e zenon_H172 zenon_H179 zenon_H180 zenon_H1be zenon_H1b1 zenon_H15f zenon_H14b zenon_H2a5 zenon_H2a6 zenon_H1da zenon_H2a3 zenon_H292 zenon_H23f zenon_H1d8 zenon_H2b1 zenon_H154 zenon_H15a zenon_H206 zenon_H19d zenon_H360 zenon_H2f8 zenon_H1fd zenon_H301 zenon_H316 zenon_H204 zenon_H2c2 zenon_H313 zenon_H2b9 zenon_H1cc zenon_H2ad zenon_H2e7 zenon_H236 zenon_H202 zenon_H18a zenon_H29e zenon_H1a0 zenon_H3b zenon_H388 zenon_H33 zenon_H116.
% 55.07/55.20 apply (zenon_or_s _ _ zenon_H3f1); [ zenon_intro zenon_H3df | zenon_intro zenon_H3f2 ].
% 55.07/55.20 apply (zenon_L364_); trivial.
% 55.07/55.20 apply (zenon_or_s _ _ zenon_H3f2); [ zenon_intro zenon_H3ba | zenon_intro zenon_H3f3 ].
% 55.07/55.20 apply (zenon_L350_); trivial.
% 55.07/55.20 apply (zenon_or_s _ _ zenon_H3f3); [ zenon_intro zenon_Hf6 | zenon_intro zenon_Heb ].
% 55.07/55.20 apply (zenon_L811_); trivial.
% 55.07/55.20 apply (zenon_L323_); trivial.
% 55.07/55.20 (* end of lemma zenon_L835_ *)
% 55.07/55.20 assert (zenon_L836_ : (((op2 (e22) (e20)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e22) (e23)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> ((e20) = (op2 (e21) (e21))) -> (~((e22) = (e23))) -> ((op2 (e22) (e21)) = (e22)) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> ((e10) = (op1 (e11) (e11))) -> ((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> ((op1 (e10) (e12)) = (e10)) -> ((op1 (e12) (e10)) = (e10)) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e11)) = (e11))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (~((h2 (op1 (e12) (e12))) = (op2 (h2 (e12)) (h2 (e12))))) -> ((h2 (e13)) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((e23) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((h2 (e12)) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> ((e22) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> ((e12) = (op1 (op1 (op1 (e11) (e11)) (op1 (e11) (e11))) (op1 (e11) (e11)))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e12) (e12)) = (e12))) -> (~((op1 (e12) (e13)) = (e12))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> ((op1 (e11) (op1 (e11) (e12))) = (e12)) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e12))\/((op1 (e11) (e10)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> ((op1 (e11) (op1 (e11) (e11))) = (e11)) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> ((op1 (e11) (op1 (e11) (e10))) = (e10)) -> (~((op1 (e12) (e12)) = (e11))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e11)) = (e12))\/((op1 (e10) (e11)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e11) (e11)) = (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 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((e12) = (e13))) -> ((op1 (e12) (e11)) = (e12)) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> ((op1 (e11) (op1 (e11) (e13))) = (e13)) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> ((op2 (e21) (op2 (e21) (e23))) = (e23)) -> ((op2 (e21) (e23)) = (e23)) -> False).
% 55.07/55.20 do 0 intro. intros zenon_H3f1 zenon_H11f zenon_H33 zenon_Hec zenon_Hd3 zenon_H25 zenon_H13 zenon_H15 zenon_H1e zenon_H17 zenon_H474 zenon_H18f zenon_H293 zenon_H1de zenon_H473 zenon_H1a9 zenon_H1fa zenon_H2c0 zenon_H4f4 zenon_H461 zenon_H3b zenon_H44f zenon_H3f zenon_H358 zenon_H23b zenon_H155 zenon_H21a zenon_H1d1 zenon_H27d zenon_H30e zenon_H186 zenon_H1ed zenon_H375 zenon_H32e zenon_H172 zenon_H179 zenon_H180 zenon_H1be zenon_H1b1 zenon_H15f zenon_H14b zenon_H2a5 zenon_H2a6 zenon_H1da zenon_H2a3 zenon_H292 zenon_H23f zenon_H1d8 zenon_H2b1 zenon_H154 zenon_H15a zenon_H206 zenon_H19d zenon_H360 zenon_H2f8 zenon_H1fd zenon_H301 zenon_H316 zenon_H204 zenon_H2c2 zenon_H313 zenon_H2b9 zenon_H1cc zenon_H2ad zenon_H2e7 zenon_H236 zenon_H202 zenon_H18a zenon_H29e zenon_H1a0 zenon_H394 zenon_H395 zenon_He9.
% 55.07/55.20 apply (zenon_or_s _ _ zenon_H3f1); [ zenon_intro zenon_H3df | zenon_intro zenon_H3f2 ].
% 55.07/55.20 apply (zenon_L364_); trivial.
% 55.07/55.20 apply (zenon_or_s _ _ zenon_H3f2); [ zenon_intro zenon_H3ba | zenon_intro zenon_H3f3 ].
% 55.07/55.20 apply (zenon_L350_); trivial.
% 55.07/55.20 apply (zenon_or_s _ _ zenon_H3f3); [ zenon_intro zenon_Hf6 | zenon_intro zenon_Heb ].
% 55.07/55.20 apply (zenon_L811_); trivial.
% 55.07/55.20 apply (zenon_L326_); trivial.
% 55.07/55.20 (* end of lemma zenon_L836_ *)
% 55.07/55.20 assert (zenon_L837_ : (((op2 (e21) (e20)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/((op2 (e21) (e23)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> ((op2 (e21) (op2 (e21) (e22))) = (e22)) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> ((op2 (e20) (e21)) = (e21)) -> (~((op2 (e20) (e23)) = (e20))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (((op2 (e22) (e20)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e22) (e23)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> ((e20) = (op2 (e21) (e21))) -> (~((e22) = (e23))) -> ((op2 (e22) (e21)) = (e22)) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> ((e10) = (op1 (e11) (e11))) -> ((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> ((op1 (e10) (e12)) = (e10)) -> ((op1 (e12) (e10)) = (e10)) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e11)) = (e11))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (~((h2 (op1 (e12) (e12))) = (op2 (h2 (e12)) (h2 (e12))))) -> ((h2 (e13)) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((e23) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((h2 (e12)) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> ((e22) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> ((e12) = (op1 (op1 (op1 (e11) (e11)) (op1 (e11) (e11))) (op1 (e11) (e11)))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e12) (e12)) = (e12))) -> (~((op1 (e12) (e13)) = (e12))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> ((op1 (e11) (op1 (e11) (e12))) = (e12)) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e12))\/((op1 (e11) (e10)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> ((op1 (e11) (op1 (e11) (e11))) = (e11)) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> ((op1 (e11) (op1 (e11) (e10))) = (e10)) -> (~((op1 (e12) (e12)) = (e11))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e11)) = (e12))\/((op1 (e10) (e11)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e11) (e11)) = (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 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((e12) = (e13))) -> ((op1 (e12) (e11)) = (e12)) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> ((op1 (e11) (op1 (e11) (e13))) = (e13)) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> ((op2 (e21) (op2 (e21) (e23))) = (e23)) -> False).
% 55.07/55.20 do 0 intro. intros zenon_H399 zenon_H45 zenon_H116 zenon_H9f zenon_H481 zenon_H3a8 zenon_H3c2 zenon_Hb9 zenon_Had zenon_H489 zenon_H3f1 zenon_H11f zenon_H33 zenon_Hec zenon_Hd3 zenon_H25 zenon_H13 zenon_H15 zenon_H1e zenon_H17 zenon_H474 zenon_H18f zenon_H293 zenon_H1de zenon_H473 zenon_H1a9 zenon_H1fa zenon_H2c0 zenon_H4f4 zenon_H461 zenon_H3b zenon_H44f zenon_H3f zenon_H358 zenon_H23b zenon_H155 zenon_H21a zenon_H1d1 zenon_H27d zenon_H30e zenon_H186 zenon_H1ed zenon_H375 zenon_H32e zenon_H172 zenon_H179 zenon_H180 zenon_H1be zenon_H1b1 zenon_H15f zenon_H14b zenon_H2a5 zenon_H2a6 zenon_H1da zenon_H2a3 zenon_H292 zenon_H23f zenon_H1d8 zenon_H2b1 zenon_H154 zenon_H15a zenon_H206 zenon_H19d zenon_H360 zenon_H2f8 zenon_H1fd zenon_H301 zenon_H316 zenon_H204 zenon_H2c2 zenon_H313 zenon_H2b9 zenon_H1cc zenon_H2ad zenon_H2e7 zenon_H236 zenon_H202 zenon_H18a zenon_H29e zenon_H1a0 zenon_H394 zenon_H395.
% 55.07/55.20 apply (zenon_or_s _ _ zenon_H399); [ zenon_intro zenon_H44 | zenon_intro zenon_H39a ].
% 55.07/55.20 apply (zenon_L10_); trivial.
% 55.07/55.20 apply (zenon_or_s _ _ zenon_H39a); [ zenon_intro zenon_H388 | zenon_intro zenon_H39b ].
% 55.07/55.20 apply (zenon_L835_); trivial.
% 55.07/55.20 apply (zenon_or_s _ _ zenon_H39b); [ zenon_intro zenon_H38e | zenon_intro zenon_He9 ].
% 55.07/55.20 apply (zenon_L590_); trivial.
% 55.07/55.20 apply (zenon_L836_); trivial.
% 55.07/55.20 (* end of lemma zenon_L837_ *)
% 55.07/55.20 assert (zenon_L838_ : ((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13)))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> ((e23) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((e20) = (op2 (e21) (e21))) -> (((op2 (e22) (e20)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e22) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> ((op1 (e11) (op1 (e11) (e11))) = (e11)) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e11)) = (e12))\/((op1 (e10) (e11)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e12))\/((op1 (e11) (e10)) = (e13))))) -> (~((op1 (e11) (e11)) = (e11))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> ((e12) = (op1 (op1 (op1 (e11) (e11)) (op1 (e11) (e11))) (op1 (e11) (e11)))) -> ((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) -> ((e10) = (op1 (e11) (e11))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> ((op1 (e11) (op1 (e11) (e13))) = (e13)) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((e12) = (e13))) -> ((op1 (e12) (e11)) = (e12)) -> (~((h2 (op1 (e12) (e12))) = (op2 (h2 (e12)) (h2 (e12))))) -> ((h2 (e13)) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((e22) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> ((h2 (e12)) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> ((op1 (e11) (op1 (e11) (e12))) = (e12)) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e12)) = (e12))) -> (~((op1 (e12) (e12)) = (e11))) -> ((op1 (e10) (e12)) = (e10)) -> ((op1 (e12) (e10)) = (e10)) -> ((op1 (e11) (op1 (e11) (e10))) = (e10)) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> ((op2 (e22) (e21)) = (e22)) -> (~((e22) = (e23))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> ((op2 (e21) (op2 (e21) (e22))) = (e22)) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> ((op2 (e20) (e21)) = (e21)) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e23)) = (e20))) -> ((op2 (e21) (op2 (e21) (e23))) = (e23)) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e21) (e20)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/((op2 (e21) (e23)) = (e23))))) -> False).
% 55.07/55.20 do 0 intro. intros zenon_H22c zenon_H45 zenon_H3b zenon_H33 zenon_H3f1 zenon_H116 zenon_H474 zenon_H313 zenon_H21a zenon_H1b1 zenon_H18a zenon_H2b1 zenon_H2a6 zenon_H2a5 zenon_H2a3 zenon_H1d8 zenon_H206 zenon_H17 zenon_H204 zenon_H23b zenon_H301 zenon_H2f8 zenon_H1fd zenon_H360 zenon_H316 zenon_H19d zenon_H1be zenon_H14b zenon_H1a9 zenon_H15f zenon_H473 zenon_H154 zenon_H155 zenon_H15 zenon_H13 zenon_H2c2 zenon_H2c0 zenon_H29e zenon_H358 zenon_H2ad zenon_H236 zenon_H202 zenon_H4f4 zenon_H461 zenon_H3f zenon_H44f zenon_H2b9 zenon_H2e7 zenon_H15a zenon_H32e zenon_H180 zenon_H1ed zenon_H375 zenon_H30e zenon_H172 zenon_H179 zenon_H186 zenon_H1da zenon_H1cc zenon_H1d1 zenon_H23f zenon_H18f zenon_H293 zenon_H292 zenon_H1de zenon_H1fa zenon_H1e zenon_H25 zenon_H1a0 zenon_Hd3 zenon_Hec zenon_H11f zenon_H489 zenon_H9f zenon_H481 zenon_H3a8 zenon_Hb9 zenon_H3c2 zenon_Had zenon_H395 zenon_H394 zenon_H399.
% 55.07/55.20 apply (zenon_or_s _ _ zenon_H22c); [ zenon_intro zenon_H27d | zenon_intro zenon_H29d ].
% 55.07/55.20 apply (zenon_L837_); trivial.
% 55.07/55.20 apply (zenon_L144_); trivial.
% 55.07/55.20 (* end of lemma zenon_L838_ *)
% 55.07/55.20 assert (zenon_L839_ : (((op2 (e22) (e20)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e22) (e23)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> (~((e22) = (e23))) -> ((op2 (e22) (e21)) = (e22)) -> ((op1 (e11) (op1 (e11) (e13))) = (e13)) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> ((op1 (e11) (op1 (e11) (e12))) = (e12)) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> ((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) -> ((e10) = (op1 (e11) (e11))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> ((e12) = (op1 (op1 (op1 (e11) (e11)) (op1 (e11) (e11))) (op1 (e11) (e11)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((e12) = (e13))) -> ((op1 (e12) (e11)) = (e12)) -> ((e22) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> ((h2 (e12)) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> ((h2 (e13)) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> (~((h2 (op1 (e12) (e12))) = (op2 (h2 (e12)) (h2 (e12))))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e10) (e10)) = (e12))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e10)) = (e12))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e13) (e10)) = (e12))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (e10))) -> ((op1 (e10) (e11)) = (e11)) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> ((e23) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((op2 (e21) (e21)) = (e23)) -> ((e20) = (op2 (e21) (e21))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> False).
% 55.07/55.20 do 0 intro. intros zenon_H3f1 zenon_H11f zenon_Hec zenon_Hd3 zenon_H29e zenon_H1f4 zenon_H1cc zenon_H375 zenon_H30e zenon_H15 zenon_H13 zenon_H1e zenon_H2c9 zenon_H2c2 zenon_H15a zenon_H2b9 zenon_H23b zenon_H21a zenon_H155 zenon_H2e7 zenon_H2ad zenon_H236 zenon_H202 zenon_H3f zenon_H44f zenon_H461 zenon_H4f4 zenon_H2c0 zenon_H358 zenon_H154 zenon_H1fa zenon_H4c4 zenon_H4c3 zenon_H180 zenon_H179 zenon_H172 zenon_H186 zenon_H328 zenon_H25f zenon_H1fe zenon_H485 zenon_H25 zenon_H204 zenon_H4c2 zenon_H3b zenon_H388 zenon_H33 zenon_H116.
% 55.07/55.20 apply (zenon_or_s _ _ zenon_H3f1); [ zenon_intro zenon_H3df | zenon_intro zenon_H3f2 ].
% 55.07/55.20 apply (zenon_L364_); trivial.
% 55.07/55.20 apply (zenon_or_s _ _ zenon_H3f2); [ zenon_intro zenon_H3ba | zenon_intro zenon_H3f3 ].
% 55.07/55.20 apply (zenon_L350_); trivial.
% 55.07/55.20 apply (zenon_or_s _ _ zenon_H3f3); [ zenon_intro zenon_Hf6 | zenon_intro zenon_Heb ].
% 55.07/55.20 apply (zenon_L792_); trivial.
% 55.07/55.20 apply (zenon_L323_); trivial.
% 55.07/55.20 (* end of lemma zenon_L839_ *)
% 55.07/55.20 assert (zenon_L840_ : (((op2 (e22) (e20)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e22) (e23)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> ((e20) = (op2 (e21) (e21))) -> (~((e22) = (e23))) -> ((op2 (e22) (e21)) = (e22)) -> ((op1 (e11) (op1 (e11) (e13))) = (e13)) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> ((op1 (e11) (op1 (e11) (e12))) = (e12)) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> ((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) -> ((e10) = (op1 (e11) (e11))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> ((e12) = (op1 (op1 (op1 (e11) (e11)) (op1 (e11) (e11))) (op1 (e11) (e11)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((e12) = (e13))) -> ((op1 (e12) (e11)) = (e12)) -> ((e22) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> ((h2 (e12)) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> ((e23) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((h2 (e13)) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> (~((h2 (op1 (e12) (e12))) = (op2 (h2 (e12)) (h2 (e12))))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e10) (e10)) = (e12))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e10)) = (e12))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e13) (e10)) = (e12))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (e10))) -> ((op1 (e10) (e11)) = (e11)) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> ((op2 (e21) (op2 (e21) (e23))) = (e23)) -> ((op2 (e21) (e23)) = (e23)) -> False).
% 55.07/55.20 do 0 intro. intros zenon_H3f1 zenon_H11f zenon_H33 zenon_Hec zenon_Hd3 zenon_H29e zenon_H1f4 zenon_H1cc zenon_H375 zenon_H30e zenon_H15 zenon_H13 zenon_H1e zenon_H2c9 zenon_H2c2 zenon_H15a zenon_H2b9 zenon_H23b zenon_H21a zenon_H155 zenon_H2e7 zenon_H2ad zenon_H236 zenon_H202 zenon_H3f zenon_H44f zenon_H3b zenon_H461 zenon_H4f4 zenon_H2c0 zenon_H358 zenon_H154 zenon_H1fa zenon_H4c4 zenon_H4c3 zenon_H180 zenon_H179 zenon_H172 zenon_H186 zenon_H328 zenon_H25f zenon_H1fe zenon_H485 zenon_H25 zenon_H204 zenon_H4c2 zenon_H394 zenon_H395 zenon_He9.
% 55.07/55.20 apply (zenon_or_s _ _ zenon_H3f1); [ zenon_intro zenon_H3df | zenon_intro zenon_H3f2 ].
% 55.07/55.20 apply (zenon_L364_); trivial.
% 55.07/55.20 apply (zenon_or_s _ _ zenon_H3f2); [ zenon_intro zenon_H3ba | zenon_intro zenon_H3f3 ].
% 55.07/55.20 apply (zenon_L350_); trivial.
% 55.07/55.20 apply (zenon_or_s _ _ zenon_H3f3); [ zenon_intro zenon_Hf6 | zenon_intro zenon_Heb ].
% 55.07/55.20 apply (zenon_L792_); trivial.
% 55.07/55.20 apply (zenon_L326_); trivial.
% 55.07/55.20 (* end of lemma zenon_L840_ *)
% 55.07/55.20 assert (zenon_L841_ : ((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12)))) -> (((op2 (e21) (e20)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/((op2 (e21) (e23)) = (e23))))) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> ((op2 (e21) (op2 (e21) (e23))) = (e23)) -> (~((op2 (e20) (e23)) = (e20))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> ((op2 (e20) (e21)) = (e21)) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> ((op2 (e21) (op2 (e21) (e22))) = (e22)) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> (~((e22) = (e23))) -> ((op2 (e22) (e21)) = (e22)) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> ((op1 (e11) (op1 (e11) (e13))) = (e13)) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((e12) = (e13))) -> (~((h2 (op1 (e12) (e12))) = (op2 (h2 (e12)) (h2 (e12))))) -> ((h2 (e13)) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((e22) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> ((h2 (e12)) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> ((op1 (e11) (op1 (e11) (e12))) = (e12)) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> ((op1 (e10) (e11)) = (e11)) -> (~((op1 (e10) (e11)) = (op1 (e10) (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 (op1 (op1 (e11) (e11)) (op1 (e11) (e11))) (op1 (e11) (e11)))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> ((op1 (e12) (e11)) = (e12)) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e10)) = (e12))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e13) (e10)) = (e12))))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e22) (e20)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e22) (e23)) = (e23))))) -> ((e20) = (op2 (e21) (e21))) -> ((e23) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> ((e10) = (op1 (e11) (e11))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (~((op1 (e10) (e10)) = (e10))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> ((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> ((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))) -> False).
% 55.07/55.20 do 0 intro. intros zenon_H25e zenon_H399 zenon_H394 zenon_H395 zenon_Had zenon_H3c2 zenon_Hb9 zenon_H3a8 zenon_H481 zenon_H9f zenon_H489 zenon_H11f zenon_Hec zenon_Hd3 zenon_H4c2 zenon_H23b zenon_H2c2 zenon_H2c0 zenon_H29e zenon_H358 zenon_H2ad zenon_H236 zenon_H4f4 zenon_H461 zenon_H3f zenon_H44f zenon_H2b9 zenon_H2e7 zenon_H15a zenon_H186 zenon_H180 zenon_H179 zenon_H172 zenon_H328 zenon_H30e zenon_H375 zenon_H1cc zenon_H1f4 zenon_H2c9 zenon_H1fe zenon_H485 zenon_H1fa zenon_H154 zenon_H155 zenon_H21a zenon_H204 zenon_H202 zenon_H4c3 zenon_H116 zenon_H3f1 zenon_H33 zenon_H3b zenon_H45 zenon_H246 zenon_H13 zenon_H19d zenon_H146 zenon_H1a0 zenon_H25 zenon_H1e zenon_H15 zenon_H17 zenon_H25d.
% 55.07/55.20 apply (zenon_or_s _ _ zenon_H25e); [ zenon_intro zenon_H458 | zenon_intro zenon_H4c4 ].
% 55.07/55.20 apply (zenon_L629_); trivial.
% 55.07/55.20 apply (zenon_or_s _ _ zenon_H25d); [ zenon_intro zenon_H25f | zenon_intro zenon_H1a1 ].
% 55.07/55.20 apply (zenon_or_s _ _ zenon_H399); [ zenon_intro zenon_H44 | zenon_intro zenon_H39a ].
% 55.07/55.20 apply (zenon_L10_); trivial.
% 55.07/55.20 apply (zenon_or_s _ _ zenon_H39a); [ zenon_intro zenon_H388 | zenon_intro zenon_H39b ].
% 55.07/55.20 apply (zenon_L839_); trivial.
% 55.07/55.20 apply (zenon_or_s _ _ zenon_H39b); [ zenon_intro zenon_H38e | zenon_intro zenon_He9 ].
% 55.07/55.20 apply (zenon_L590_); trivial.
% 55.07/55.20 apply (zenon_L840_); trivial.
% 55.07/55.20 apply (zenon_L79_); trivial.
% 55.07/55.20 (* end of lemma zenon_L841_ *)
% 55.07/55.20 assert (zenon_L842_ : (((op1 (e11) (e10)) = (e11))/\(((op1 (e10) (e11)) = (e11))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11))))/\(((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12))))/\((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13))))))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> ((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> ((e10) = (op1 (e11) (e11))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> ((e23) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((e20) = (op2 (e21) (e21))) -> (((op2 (e22) (e20)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e22) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (((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)))) -> ((e12) = (op1 (op1 (op1 (e11) (e11)) (op1 (e11) (e11))) (op1 (e11) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> ((op1 (e11) (op1 (e11) (e12))) = (e12)) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> ((h2 (e12)) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> ((e22) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> ((h2 (e13)) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> (~((h2 (op1 (e12) (e12))) = (op2 (h2 (e12)) (h2 (e12))))) -> (~((e12) = (e13))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> ((op1 (e11) (op1 (e11) (e13))) = (e13)) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (((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))))) -> ((op2 (e22) (e21)) = (e22)) -> (~((e22) = (e23))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> ((op2 (e21) (op2 (e21) (e22))) = (e22)) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> ((op2 (e20) (e21)) = (e21)) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e23)) = (e20))) -> ((op2 (e21) (op2 (e21) (e23))) = (e23)) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e21) (e20)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/((op2 (e21) (e23)) = (e23))))) -> False).
% 55.07/55.20 do 0 intro. intros zenon_H259 zenon_H17 zenon_H15 zenon_H1e zenon_H25 zenon_H1a0 zenon_H19d zenon_H13 zenon_H246 zenon_H45 zenon_H3b zenon_H33 zenon_H3f1 zenon_H116 zenon_H4c3 zenon_H202 zenon_H204 zenon_H21a zenon_H155 zenon_H154 zenon_H1fa zenon_H485 zenon_H2c9 zenon_H1f4 zenon_H1cc zenon_H375 zenon_H30e zenon_H328 zenon_H172 zenon_H179 zenon_H180 zenon_H186 zenon_H15a zenon_H2e7 zenon_H2b9 zenon_H44f zenon_H3f zenon_H461 zenon_H4f4 zenon_H236 zenon_H2ad zenon_H358 zenon_H29e zenon_H2c0 zenon_H2c2 zenon_H23b zenon_H4c2 zenon_Hd3 zenon_Hec zenon_H11f zenon_H489 zenon_H9f zenon_H481 zenon_H3a8 zenon_Hb9 zenon_H3c2 zenon_Had zenon_H395 zenon_H394 zenon_H399.
% 55.07/55.20 apply (zenon_and_s _ _ zenon_H259). zenon_intro zenon_H163. zenon_intro zenon_H25a.
% 55.07/55.20 apply (zenon_and_s _ _ zenon_H25a). zenon_intro zenon_H1fe. zenon_intro zenon_H149.
% 55.07/55.20 apply (zenon_and_s _ _ zenon_H149). zenon_intro zenon_H144. zenon_intro zenon_H14a.
% 55.07/55.20 apply (zenon_and_s _ _ zenon_H14a). zenon_intro zenon_H25c. zenon_intro zenon_H25b.
% 55.07/55.20 apply (zenon_and_s _ _ zenon_H25b). zenon_intro zenon_H25e. zenon_intro zenon_H25d.
% 55.07/55.20 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_H146 | zenon_intro zenon_H146 ].
% 55.07/55.20 apply (zenon_L841_); trivial.
% 55.07/55.20 apply (zenon_L841_); trivial.
% 55.07/55.20 (* end of lemma zenon_L842_ *)
% 55.07/55.20 assert (zenon_L843_ : (((op2 (e21) (e20)) = (e21))/\(((op2 (e20) (e21)) = (e21))/\(((~((op2 (e20) (e20)) = (e20)))\/(~((op2 (e20) (e20)) = (e20))))/\(((~((op2 (e20) (e21)) = (e20)))\/(~((op2 (e20) (e20)) = (e21))))/\(((~((op2 (e20) (e22)) = (e20)))\/(~((op2 (e20) (e20)) = (e22))))/\((~((op2 (e20) (e23)) = (e20)))\/(~((op2 (e20) (e20)) = (e23))))))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e22)))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e20) (e21)) = (e23))\/(((op2 (e20) (e22)) = (e23))\/((op2 (e20) (e23)) = (e23))))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e12))\/((op1 (e11) (e10)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> ((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) -> ((e12) = (op1 (op1 (op1 (e11) (e11)) (op1 (e11) (e11))) (op1 (e11) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((e10) = (e12))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e11)) = (e12))\/((op1 (e10) (e11)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (((op1 (e13) (e13)) = (e10))\/(((op1 (e13) (e13)) = (e11))\/(((op1 (e13) (e13)) = (e12))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (~((e12) = (e13))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> ((((op1 (e10) (e10)) = (e10))/\(((op1 (e10) (e10)) = (e10))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11))))/\(((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12))))/\((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))))))))\/((((op1 (e10) (e11)) = (e10))/\(((op1 (e11) (e10)) = (e10))/\(((~((op1 (e11) (e10)) = (e11)))\/(~((op1 (e11) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e11) (e12)) = (e11)))\/(~((op1 (e11) (e11)) = (e12))))/\((~((op1 (e11) (e13)) = (e11)))\/(~((op1 (e11) (e11)) = (e13)))))))))\/((((op1 (e10) (e12)) = (e10))/\(((op1 (e12) (e10)) = (e10))/\(((~((op1 (e12) (e10)) = (e12)))\/(~((op1 (e12) (e12)) = (e10))))/\(((~((op1 (e12) (e11)) = (e12)))\/(~((op1 (e12) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13)))))))))\/((((op1 (e10) (e13)) = (e10))/\(((op1 (e13) (e10)) = (e10))/\(((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e13) (e13)) = (e10))))/\(((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11))))/\(((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e13) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13)))))))))\/((((op1 (e11) (e10)) = (e11))/\(((op1 (e10) (e11)) = (e11))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11))))/\(((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12))))/\((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))))))))\/((((op1 (e11) (e11)) = (e11))/\(((op1 (e11) (e11)) = (e11))/\(((~((op1 (e11) (e10)) = (e11)))\/(~((op1 (e11) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e11) (e12)) = (e11)))\/(~((op1 (e11) (e11)) = (e12))))/\((~((op1 (e11) (e13)) = (e11)))\/(~((op1 (e11) (e11)) = (e13)))))))))\/((((op1 (e11) (e12)) = (e11))/\(((op1 (e12) (e11)) = (e11))/\(((~((op1 (e12) (e10)) = (e12)))\/(~((op1 (e12) (e12)) = (e10))))/\(((~((op1 (e12) (e11)) = (e12)))\/(~((op1 (e12) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13)))))))))\/((((op1 (e11) (e13)) = (e11))/\(((op1 (e13) (e11)) = (e11))/\(((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e13) (e13)) = (e10))))/\(((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11))))/\(((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e13) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13)))))))))\/((((op1 (e12) (e10)) = (e12))/\(((op1 (e10) (e12)) = (e12))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11))))/\(((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12))))/\((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))))))))\/((((op1 (e12) (e11)) = (e12))/\(((op1 (e11) (e12)) = (e12))/\(((~((op1 (e11) (e10)) = (e11)))\/(~((op1 (e11) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e11) (e12)) = (e11)))\/(~((op1 (e11) (e11)) = (e12))))/\((~((op1 (e11) (e13)) = (e11)))\/(~((op1 (e11) (e11)) = (e13)))))))))\/((((op1 (e12) (e12)) = (e12))/\(((op1 (e12) (e12)) = (e12))/\(((~((op1 (e12) (e10)) = (e12)))\/(~((op1 (e12) (e12)) = (e10))))/\(((~((op1 (e12) (e11)) = (e12)))\/(~((op1 (e12) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13)))))))))\/((((op1 (e12) (e13)) = (e12))/\(((op1 (e13) (e12)) = (e12))/\(((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e13) (e13)) = (e10))))/\(((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11))))/\(((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e13) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13)))))))))\/((((op1 (e13) (e10)) = (e13))/\(((op1 (e10) (e13)) = (e13))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11))))/\(((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12))))/\((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))))))))\/((((op1 (e13) (e11)) = (e13))/\(((op1 (e11) (e13)) = (e13))/\(((~((op1 (e11) (e10)) = (e11)))\/(~((op1 (e11) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e11) (e12)) = (e11)))\/(~((op1 (e11) (e11)) = (e12))))/\((~((op1 (e11) (e13)) = (e11)))\/(~((op1 (e11) (e11)) = (e13)))))))))\/((((op1 (e13) (e12)) = (e13))/\(((op1 (e12) (e13)) = (e13))/\(((~((op1 (e12) (e10)) = (e12)))\/(~((op1 (e12) (e12)) = (e10))))/\(((~((op1 (e12) (e11)) = (e12)))\/(~((op1 (e12) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13)))))))))\/(((op1 (e13) (e13)) = (e13))/\(((op1 (e13) (e13)) = (e13))/\(((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e13) (e13)) = (e10))))/\(((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11))))/\(((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e13) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13)))))))))))))))))))))))) -> ((e10) = (op1 (e11) (e11))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e10)) = (e12))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e13) (e10)) = (e12))))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> (((op2 (e21) (e20)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/((op2 (e21) (e23)) = (e23))))) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> ((op2 (e21) (op2 (e21) (e23))) = (e23)) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> ((op2 (e21) (op2 (e21) (e22))) = (e22)) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> (~((e22) = (e23))) -> ((op2 (e22) (e21)) = (e22)) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((h2 (op1 (e12) (e12))) = (op2 (h2 (e12)) (h2 (e12))))) -> ((h2 (e13)) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((e22) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> ((h2 (e12)) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e22) (e20)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e22) (e23)) = (e23))))) -> ((e20) = (op2 (e21) (e21))) -> ((e23) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (((op1 (e10) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e12) (e11)) = (e13))))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e12) (e13)) = (e10))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> ((((op1 (e10) (op1 (e10) (e10))) = (e10))/\(((op1 (e10) (op1 (e10) (e11))) = (e11))/\(((op1 (e10) (op1 (e10) (e12))) = (e12))/\(((op1 (e10) (op1 (e10) (e13))) = (e13))/\(((~((op1 (e10) (e10)) = (e10)))\/((op1 (e10) (e10)) = (e10)))/\(((~((op1 (e11) (e11)) = (e10)))\/((op1 (e11) (e10)) = (e11)))/\(((~((op1 (e12) (e12)) = (e10)))\/((op1 (e12) (e10)) = (e12)))/\((~((op1 (e13) (e13)) = (e10)))\/((op1 (e13) (e10)) = (e13))))))))))\/((((op1 (e11) (op1 (e11) (e10))) = (e10))/\(((op1 (e11) (op1 (e11) (e11))) = (e11))/\(((op1 (e11) (op1 (e11) (e12))) = (e12))/\(((op1 (e11) (op1 (e11) (e13))) = (e13))/\(((~((op1 (e10) (e10)) = (e11)))\/((op1 (e10) (e11)) = (e10)))/\(((~((op1 (e11) (e11)) = (e11)))\/((op1 (e11) (e11)) = (e11)))/\(((~((op1 (e12) (e12)) = (e11)))\/((op1 (e12) (e11)) = (e12)))/\((~((op1 (e13) (e13)) = (e11)))\/((op1 (e13) (e11)) = (e13))))))))))\/((((op1 (e12) (op1 (e12) (e10))) = (e10))/\(((op1 (e12) (op1 (e12) (e11))) = (e11))/\(((op1 (e12) (op1 (e12) (e12))) = (e12))/\(((op1 (e12) (op1 (e12) (e13))) = (e13))/\(((~((op1 (e10) (e10)) = (e12)))\/((op1 (e10) (e12)) = (e10)))/\(((~((op1 (e11) (e11)) = (e12)))\/((op1 (e11) (e12)) = (e11)))/\(((~((op1 (e12) (e12)) = (e12)))\/((op1 (e12) (e12)) = (e12)))/\((~((op1 (e13) (e13)) = (e12)))\/((op1 (e13) (e12)) = (e13))))))))))\/(((op1 (e13) (op1 (e13) (e10))) = (e10))/\(((op1 (e13) (op1 (e13) (e11))) = (e11))/\(((op1 (e13) (op1 (e13) (e12))) = (e12))/\(((op1 (e13) (op1 (e13) (e13))) = (e13))/\(((~((op1 (e10) (e10)) = (e13)))\/((op1 (e10) (e13)) = (e10)))/\(((~((op1 (e11) (e11)) = (e13)))\/((op1 (e11) (e13)) = (e11)))/\(((~((op1 (e12) (e12)) = (e13)))\/((op1 (e12) (e13)) = (e12)))/\((~((op1 (e13) (e13)) = (e13)))\/((op1 (e13) (e13)) = (e13))))))))))))) -> False).
% 55.08/55.21 do 0 intro. intros zenon_Hb6 zenon_H93 zenon_H98 zenon_Ha5 zenon_H15f zenon_H15a zenon_H15 zenon_H155 zenon_H154 zenon_H14b zenon_H186 zenon_H180 zenon_H179 zenon_H172 zenon_H16c zenon_H18a zenon_H18e zenon_H192 zenon_H246 zenon_H19d zenon_H1a0 zenon_H25 zenon_H1e zenon_H17 zenon_H1a9 zenon_H209 zenon_H206 zenon_H204 zenon_H1fd zenon_H1fa zenon_H1f7 zenon_H1f4 zenon_H1ed zenon_H1e8 zenon_H1da zenon_H1d8 zenon_H1cc zenon_H1de zenon_H1b1 zenon_H1be zenon_H20c zenon_H21a zenon_H236 zenon_H23b zenon_H245 zenon_H13 zenon_H4c3 zenon_H328 zenon_H485 zenon_H4c2 zenon_H399 zenon_H394 zenon_H395 zenon_H3c2 zenon_H3a8 zenon_H481 zenon_H9f zenon_H489 zenon_H11f zenon_Hec zenon_Hd3 zenon_H2c2 zenon_H2c0 zenon_H32e zenon_H30e zenon_H2ad zenon_H2b9 zenon_H2e7 zenon_H358 zenon_H4f4 zenon_H461 zenon_H3f zenon_H44f zenon_H2c9 zenon_H316 zenon_H360 zenon_H2f8 zenon_H301 zenon_H2a3 zenon_H2a5 zenon_H2b1 zenon_H313 zenon_H474 zenon_H116 zenon_H3f1 zenon_H33 zenon_H3b zenon_H45 zenon_H32b zenon_H2fd zenon_H2fb zenon_H2f6 zenon_H325 zenon_H322 zenon_H321 zenon_H30b zenon_H2ea zenon_H2e2 zenon_H2e6 zenon_H2d9 zenon_H2d1 zenon_H35d zenon_H345 zenon_H355 zenon_H36e.
% 55.08/55.21 apply (zenon_and_s _ _ zenon_Hb6). zenon_intro zenon_H4e. zenon_intro zenon_Hb8.
% 55.08/55.21 apply (zenon_and_s _ _ zenon_Hb8). zenon_intro zenon_Hb9. zenon_intro zenon_H2e.
% 55.08/55.21 apply (zenon_and_s _ _ zenon_H2e). zenon_intro zenon_H30. zenon_intro zenon_H2f.
% 55.08/55.21 apply (zenon_and_s _ _ zenon_H2f). zenon_intro zenon_Hbb. zenon_intro zenon_Hba.
% 55.08/55.21 apply (zenon_and_s _ _ zenon_Hba). zenon_intro zenon_Hbc. zenon_intro zenon_Haa.
% 55.08/55.21 apply (zenon_or_s _ _ zenon_Haa); [ zenon_intro zenon_Had | zenon_intro zenon_Ha6 ].
% 55.08/55.21 apply (zenon_or_s _ _ zenon_H36e); [ zenon_intro zenon_H244 | zenon_intro zenon_H36f ].
% 55.08/55.21 apply (zenon_L126_); trivial.
% 55.08/55.21 apply (zenon_or_s _ _ zenon_H36f); [ zenon_intro zenon_H371 | zenon_intro zenon_H370 ].
% 55.08/55.21 apply (zenon_and_s _ _ zenon_H371). zenon_intro zenon_H292. zenon_intro zenon_H372.
% 55.08/55.21 apply (zenon_and_s _ _ zenon_H372). zenon_intro zenon_H2a6. zenon_intro zenon_H373.
% 55.08/55.21 apply (zenon_and_s _ _ zenon_H373). zenon_intro zenon_H375. zenon_intro zenon_H374.
% 55.08/55.21 apply (zenon_and_s _ _ zenon_H374). zenon_intro zenon_H29e. zenon_intro zenon_H376.
% 55.08/55.21 apply (zenon_and_s _ _ zenon_H376). zenon_intro zenon_H378. zenon_intro zenon_H377.
% 55.08/55.21 apply (zenon_and_s _ _ zenon_H377). zenon_intro zenon_H37a. zenon_intro zenon_H379.
% 55.08/55.21 apply (zenon_and_s _ _ zenon_H379). zenon_intro zenon_H37c. zenon_intro zenon_H37b.
% 55.08/55.21 apply (zenon_or_s _ _ zenon_H37a); [ zenon_intro zenon_H473 | zenon_intro zenon_H1a7 ].
% 55.08/55.21 apply (zenon_or_s _ _ zenon_H37c); [ zenon_intro zenon_H23f | zenon_intro zenon_H202 ].
% 55.08/55.21 apply (zenon_or_s _ _ zenon_H37b); [ zenon_intro zenon_H20d | zenon_intro zenon_H1c3 ].
% 55.08/55.21 apply (zenon_L830_); trivial.
% 55.08/55.21 apply (zenon_or_s _ _ zenon_H245); [ zenon_intro zenon_H147 | zenon_intro zenon_H254 ].
% 55.08/55.21 apply (zenon_L60_); trivial.
% 55.08/55.21 apply (zenon_or_s _ _ zenon_H254); [ zenon_intro zenon_H164 | zenon_intro zenon_H255 ].
% 55.08/55.21 apply (zenon_L66_); trivial.
% 55.08/55.21 apply (zenon_or_s _ _ zenon_H255); [ zenon_intro zenon_H197 | zenon_intro zenon_H256 ].
% 55.08/55.21 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_H18f. zenon_intro zenon_H198.
% 55.08/55.21 apply (zenon_and_s _ _ zenon_H198). zenon_intro zenon_H293. zenon_intro zenon_H227.
% 55.08/55.21 apply (zenon_and_s _ _ zenon_H227). zenon_intro zenon_H229. zenon_intro zenon_H228.
% 55.08/55.21 apply (zenon_and_s _ _ zenon_H228). zenon_intro zenon_H22b. zenon_intro zenon_H22a.
% 55.08/55.21 apply (zenon_and_s _ _ zenon_H22a). zenon_intro zenon_H224. zenon_intro zenon_H22c.
% 55.08/55.21 apply (zenon_or_s _ _ zenon_H224); [ zenon_intro zenon_H1d1 | zenon_intro zenon_H1d1 ].
% 55.08/55.21 apply (zenon_L834_); trivial.
% 55.08/55.21 apply (zenon_L834_); trivial.
% 55.08/55.21 apply (zenon_or_s _ _ zenon_H256); [ zenon_intro zenon_H199 | zenon_intro zenon_H257 ].
% 55.08/55.21 apply (zenon_L77_); trivial.
% 55.08/55.21 apply (zenon_or_s _ _ zenon_H257); [ zenon_intro zenon_H259 | zenon_intro zenon_H258 ].
% 55.08/55.21 apply (zenon_L829_); trivial.
% 55.08/55.21 apply (zenon_or_s _ _ zenon_H258); [ zenon_intro zenon_H1a5 | zenon_intro zenon_H262 ].
% 55.08/55.21 apply (zenon_L80_); trivial.
% 55.08/55.21 apply (zenon_or_s _ _ zenon_H262); [ zenon_intro zenon_H1ae | zenon_intro zenon_H263 ].
% 55.08/55.21 apply (zenon_L83_); trivial.
% 55.08/55.21 apply (zenon_or_s _ _ zenon_H263); [ zenon_intro zenon_H212 | zenon_intro zenon_H264 ].
% 55.08/55.21 apply (zenon_L167_); trivial.
% 55.08/55.21 apply (zenon_or_s _ _ zenon_H264); [ zenon_intro zenon_H220 | zenon_intro zenon_H265 ].
% 55.08/55.21 apply (zenon_L110_); trivial.
% 55.08/55.21 apply (zenon_or_s _ _ zenon_H265); [ zenon_intro zenon_H222 | zenon_intro zenon_H266 ].
% 55.08/55.21 apply (zenon_L111_); trivial.
% 55.08/55.21 apply (zenon_or_s _ _ zenon_H266); [ zenon_intro zenon_H225 | zenon_intro zenon_H267 ].
% 55.08/55.21 apply (zenon_L113_); trivial.
% 55.08/55.21 apply (zenon_or_s _ _ zenon_H267); [ zenon_intro zenon_H22d | zenon_intro zenon_H268 ].
% 55.08/55.21 apply (zenon_L114_); trivial.
% 55.08/55.21 apply (zenon_or_s _ _ zenon_H268); [ zenon_intro zenon_H230 | zenon_intro zenon_H269 ].
% 55.08/55.21 apply (zenon_L115_); trivial.
% 55.08/55.21 apply (zenon_or_s _ _ zenon_H269); [ zenon_intro zenon_H232 | zenon_intro zenon_H26a ].
% 55.08/55.21 apply (zenon_L116_); trivial.
% 55.08/55.21 apply (zenon_or_s _ _ zenon_H26a); [ zenon_intro zenon_H240 | zenon_intro zenon_H242 ].
% 55.08/55.21 apply (zenon_L166_); trivial.
% 55.08/55.21 apply (zenon_L125_); trivial.
% 55.08/55.21 apply (zenon_or_s _ _ zenon_H245); [ zenon_intro zenon_H147 | zenon_intro zenon_H254 ].
% 55.08/55.21 apply (zenon_L60_); trivial.
% 55.08/55.21 apply (zenon_or_s _ _ zenon_H254); [ zenon_intro zenon_H164 | zenon_intro zenon_H255 ].
% 55.08/55.21 apply (zenon_L66_); trivial.
% 55.08/55.21 apply (zenon_or_s _ _ zenon_H255); [ zenon_intro zenon_H197 | zenon_intro zenon_H256 ].
% 55.08/55.21 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_H18f. zenon_intro zenon_H198.
% 55.08/55.21 apply (zenon_and_s _ _ zenon_H198). zenon_intro zenon_H293. zenon_intro zenon_H227.
% 55.08/55.21 apply (zenon_and_s _ _ zenon_H227). zenon_intro zenon_H229. zenon_intro zenon_H228.
% 55.08/55.21 apply (zenon_and_s _ _ zenon_H228). zenon_intro zenon_H22b. zenon_intro zenon_H22a.
% 55.08/55.21 apply (zenon_and_s _ _ zenon_H22a). zenon_intro zenon_H224. zenon_intro zenon_H22c.
% 55.08/55.21 apply (zenon_or_s _ _ zenon_H22b); [ zenon_intro zenon_H23c | zenon_intro zenon_H23f ].
% 55.08/55.21 exact (zenon_H23c zenon_H202).
% 55.08/55.21 apply (zenon_or_s _ _ zenon_H224); [ zenon_intro zenon_H1d1 | zenon_intro zenon_H1d1 ].
% 55.08/55.21 apply (zenon_L838_); trivial.
% 55.08/55.21 apply (zenon_L838_); trivial.
% 55.08/55.21 apply (zenon_or_s _ _ zenon_H256); [ zenon_intro zenon_H199 | zenon_intro zenon_H257 ].
% 55.08/55.21 apply (zenon_L77_); trivial.
% 55.08/55.21 apply (zenon_or_s _ _ zenon_H257); [ zenon_intro zenon_H259 | zenon_intro zenon_H258 ].
% 55.08/55.21 apply (zenon_L842_); trivial.
% 55.08/55.21 apply (zenon_or_s _ _ zenon_H258); [ zenon_intro zenon_H1a5 | zenon_intro zenon_H262 ].
% 55.08/55.21 apply (zenon_L80_); trivial.
% 55.08/55.21 apply (zenon_or_s _ _ zenon_H262); [ zenon_intro zenon_H1ae | zenon_intro zenon_H263 ].
% 55.08/55.21 apply (zenon_L83_); trivial.
% 55.08/55.21 apply (zenon_or_s _ _ zenon_H263); [ zenon_intro zenon_H212 | zenon_intro zenon_H264 ].
% 55.08/55.21 apply (zenon_L169_); trivial.
% 55.08/55.21 apply (zenon_or_s _ _ zenon_H264); [ zenon_intro zenon_H220 | zenon_intro zenon_H265 ].
% 55.08/55.21 apply (zenon_L110_); trivial.
% 55.08/55.21 apply (zenon_or_s _ _ zenon_H265); [ zenon_intro zenon_H222 | zenon_intro zenon_H266 ].
% 55.08/55.21 apply (zenon_L111_); trivial.
% 55.08/55.21 apply (zenon_or_s _ _ zenon_H266); [ zenon_intro zenon_H225 | zenon_intro zenon_H267 ].
% 55.08/55.21 apply (zenon_L113_); trivial.
% 55.08/55.21 apply (zenon_or_s _ _ zenon_H267); [ zenon_intro zenon_H22d | zenon_intro zenon_H268 ].
% 55.08/55.21 apply (zenon_L114_); trivial.
% 55.08/55.21 apply (zenon_or_s _ _ zenon_H268); [ zenon_intro zenon_H230 | zenon_intro zenon_H269 ].
% 55.08/55.21 apply (zenon_L115_); trivial.
% 55.08/55.21 apply (zenon_or_s _ _ zenon_H269); [ zenon_intro zenon_H232 | zenon_intro zenon_H26a ].
% 55.08/55.21 apply (zenon_L116_); trivial.
% 55.08/55.21 apply (zenon_or_s _ _ zenon_H26a); [ zenon_intro zenon_H240 | zenon_intro zenon_H242 ].
% 55.08/55.21 apply (zenon_L166_); trivial.
% 55.08/55.21 apply (zenon_L125_); trivial.
% 55.08/55.21 apply (zenon_L532_); trivial.
% 55.08/55.21 apply (zenon_or_s _ _ zenon_H370); [ zenon_intro zenon_H335 | zenon_intro zenon_H363 ].
% 55.08/55.21 apply (zenon_L260_); trivial.
% 55.08/55.21 apply (zenon_L307_); trivial.
% 55.08/55.21 apply (zenon_L28_); trivial.
% 55.08/55.21 (* end of lemma zenon_L843_ *)
% 55.08/55.21 assert (zenon_L844_ : ((op2 (e22) (e23)) = (e21)) -> ((h2 (e12)) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> ((e22) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> ((h2 (e13)) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((e23) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> (~((e21) = (op2 (h2 (e12)) (h2 (e13))))) -> False).
% 55.08/55.21 do 0 intro. intros zenon_H3c7 zenon_H44f zenon_H3f zenon_H461 zenon_H3b zenon_H4ff.
% 55.08/55.21 elim (classic ((op2 (h2 (e12)) (h2 (e13))) = (op2 (h2 (e12)) (h2 (e13))))); [ zenon_intro zenon_H500 | zenon_intro zenon_H501 ].
% 55.08/55.21 cut (((op2 (h2 (e12)) (h2 (e13))) = (op2 (h2 (e12)) (h2 (e13)))) = ((e21) = (op2 (h2 (e12)) (h2 (e13))))).
% 55.08/55.21 intro zenon_D_pnotp.
% 55.08/55.21 apply zenon_H4ff.
% 55.08/55.21 rewrite <- zenon_D_pnotp.
% 55.08/55.21 exact zenon_H500.
% 55.08/55.21 cut (((op2 (h2 (e12)) (h2 (e13))) = (op2 (h2 (e12)) (h2 (e13))))); [idtac | apply NNPP; zenon_intro zenon_H501].
% 55.08/55.21 cut (((op2 (h2 (e12)) (h2 (e13))) = (e21))); [idtac | apply NNPP; zenon_intro zenon_H502].
% 55.08/55.21 congruence.
% 55.08/55.21 cut (((op2 (e22) (e23)) = (e21)) = ((op2 (h2 (e12)) (h2 (e13))) = (e21))).
% 55.08/55.21 intro zenon_D_pnotp.
% 55.08/55.21 apply zenon_H502.
% 55.08/55.21 rewrite <- zenon_D_pnotp.
% 55.08/55.21 exact zenon_H3c7.
% 55.08/55.21 cut (((e21) = (e21))); [idtac | apply NNPP; zenon_intro zenon_H26e].
% 55.08/55.21 cut (((op2 (e22) (e23)) = (op2 (h2 (e12)) (h2 (e13))))); [idtac | apply NNPP; zenon_intro zenon_H503].
% 55.08/55.21 congruence.
% 55.08/55.21 elim (classic ((op2 (h2 (e12)) (h2 (e13))) = (op2 (h2 (e12)) (h2 (e13))))); [ zenon_intro zenon_H500 | zenon_intro zenon_H501 ].
% 55.08/55.21 cut (((op2 (h2 (e12)) (h2 (e13))) = (op2 (h2 (e12)) (h2 (e13)))) = ((op2 (e22) (e23)) = (op2 (h2 (e12)) (h2 (e13))))).
% 55.08/55.21 intro zenon_D_pnotp.
% 55.08/55.21 apply zenon_H503.
% 55.08/55.21 rewrite <- zenon_D_pnotp.
% 55.08/55.21 exact zenon_H500.
% 55.08/55.21 cut (((op2 (h2 (e12)) (h2 (e13))) = (op2 (h2 (e12)) (h2 (e13))))); [idtac | apply NNPP; zenon_intro zenon_H501].
% 55.08/55.21 cut (((op2 (h2 (e12)) (h2 (e13))) = (op2 (e22) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H504].
% 55.08/55.21 congruence.
% 55.08/55.21 cut (((h2 (e13)) = (e23))); [idtac | apply NNPP; zenon_intro zenon_H460].
% 55.08/55.21 cut (((h2 (e12)) = (e22))); [idtac | apply NNPP; zenon_intro zenon_H44e].
% 55.08/55.21 congruence.
% 55.08/55.21 apply (zenon_L469_); trivial.
% 55.08/55.21 apply (zenon_L492_); trivial.
% 55.08/55.21 apply zenon_H501. apply refl_equal.
% 55.08/55.21 apply zenon_H501. apply refl_equal.
% 55.08/55.21 apply zenon_H26e. apply refl_equal.
% 55.08/55.21 apply zenon_H501. apply refl_equal.
% 55.08/55.21 apply zenon_H501. apply refl_equal.
% 55.08/55.21 (* end of lemma zenon_L844_ *)
% 55.08/55.21 assert (zenon_L845_ : (~((h2 (op1 (e12) (e13))) = (op2 (h2 (e12)) (h2 (e13))))) -> ((h2 (e11)) = (e21)) -> ((op1 (e12) (e13)) = (e11)) -> ((op2 (e22) (e23)) = (e21)) -> ((h2 (e12)) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> ((e22) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> ((h2 (e13)) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((e23) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> False).
% 55.08/55.21 do 0 intro. intros zenon_H505 zenon_H270 zenon_H2f4 zenon_H3c7 zenon_H44f zenon_H3f zenon_H461 zenon_H3b.
% 55.08/55.21 cut (((h2 (e11)) = (e21)) = ((h2 (op1 (e12) (e13))) = (op2 (h2 (e12)) (h2 (e13))))).
% 55.08/55.21 intro zenon_D_pnotp.
% 55.08/55.21 apply zenon_H505.
% 55.08/55.21 rewrite <- zenon_D_pnotp.
% 55.08/55.21 exact zenon_H270.
% 55.08/55.21 cut (((e21) = (op2 (h2 (e12)) (h2 (e13))))); [idtac | apply NNPP; zenon_intro zenon_H4ff].
% 55.08/55.21 cut (((h2 (e11)) = (h2 (op1 (e12) (e13))))); [idtac | apply NNPP; zenon_intro zenon_H506].
% 55.08/55.21 congruence.
% 55.08/55.21 elim (classic ((h2 (op1 (e12) (e13))) = (h2 (op1 (e12) (e13))))); [ zenon_intro zenon_H507 | zenon_intro zenon_H508 ].
% 55.08/55.21 cut (((h2 (op1 (e12) (e13))) = (h2 (op1 (e12) (e13)))) = ((h2 (e11)) = (h2 (op1 (e12) (e13))))).
% 55.08/55.21 intro zenon_D_pnotp.
% 55.08/55.21 apply zenon_H506.
% 55.08/55.21 rewrite <- zenon_D_pnotp.
% 55.08/55.21 exact zenon_H507.
% 55.08/55.21 cut (((h2 (op1 (e12) (e13))) = (h2 (op1 (e12) (e13))))); [idtac | apply NNPP; zenon_intro zenon_H508].
% 55.08/55.21 cut (((h2 (op1 (e12) (e13))) = (h2 (e11)))); [idtac | apply NNPP; zenon_intro zenon_H509].
% 55.08/55.21 congruence.
% 55.08/55.21 cut (((op1 (e12) (e13)) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H50a].
% 55.08/55.21 congruence.
% 55.08/55.21 exact (zenon_H50a zenon_H2f4).
% 55.08/55.21 apply zenon_H508. apply refl_equal.
% 55.08/55.21 apply zenon_H508. apply refl_equal.
% 55.08/55.21 apply (zenon_L844_); trivial.
% 55.08/55.21 (* end of lemma zenon_L845_ *)
% 55.08/55.21 assert (zenon_L846_ : (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> ((op1 (e11) (e10)) = (e11)) -> ((op1 (e12) (e10)) = (e10)) -> ((op1 (e11) (op1 (e11) (e10))) = (e10)) -> ((e23) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((h2 (e13)) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((e22) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> ((h2 (e12)) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> ((op2 (e22) (e23)) = (e21)) -> ((h2 (e11)) = (e21)) -> (~((h2 (op1 (e12) (e13))) = (op2 (h2 (e12)) (h2 (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> ((op1 (e13) (e10)) = (e12)) -> ((op1 (e11) (e12)) = (e12)) -> ((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) -> ((e10) = (op1 (e11) (e11))) -> ((op1 (e10) (e13)) = (e12)) -> ((e12) = (op1 (op1 (op1 (e11) (e11)) (op1 (e11) (e11))) (op1 (e11) (e11)))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> ((op1 (e11) (op1 (e11) (e13))) = (e13)) -> ((op1 (e11) (e13)) = (e13)) -> False).
% 55.08/55.21 do 0 intro. intros zenon_H322 zenon_H2e6 zenon_H163 zenon_H293 zenon_H292 zenon_H3b zenon_H461 zenon_H3f zenon_H44f zenon_H3c7 zenon_H270 zenon_H505 zenon_H2b9 zenon_H16b zenon_H1c6 zenon_H15 zenon_H13 zenon_H31b zenon_H155 zenon_H2c0 zenon_H29e zenon_H234.
% 55.08/55.21 apply (zenon_or_s _ _ zenon_H322); [ zenon_intro zenon_H2e0 | zenon_intro zenon_H323 ].
% 55.08/55.21 elim (classic ((op1 (e12) (e13)) = (op1 (e12) (e13)))); [ zenon_intro zenon_H2ba | zenon_intro zenon_H2bb ].
% 55.08/55.21 cut (((op1 (e12) (e13)) = (op1 (e12) (e13))) = ((op1 (e12) (e10)) = (op1 (e12) (e13)))).
% 55.08/55.21 intro zenon_D_pnotp.
% 55.08/55.21 apply zenon_H2e6.
% 55.08/55.21 rewrite <- zenon_D_pnotp.
% 55.08/55.21 exact zenon_H2ba.
% 55.08/55.21 cut (((op1 (e12) (e13)) = (op1 (e12) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H2bb].
% 55.08/55.21 cut (((op1 (e12) (e13)) = (op1 (e12) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H50b].
% 55.08/55.21 congruence.
% 55.08/55.21 cut (((e10) = (op1 (e11) (e11))) = ((op1 (e12) (e13)) = (op1 (e12) (e10)))).
% 55.08/55.21 intro zenon_D_pnotp.
% 55.08/55.21 apply zenon_H50b.
% 55.08/55.21 rewrite <- zenon_D_pnotp.
% 55.08/55.21 exact zenon_H13.
% 55.08/55.21 cut (((op1 (e11) (e11)) = (op1 (e12) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H291].
% 55.08/55.21 cut (((e10) = (op1 (e12) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H2e1].
% 55.08/55.21 congruence.
% 55.08/55.21 elim (classic ((op1 (e12) (e13)) = (op1 (e12) (e13)))); [ zenon_intro zenon_H2ba | zenon_intro zenon_H2bb ].
% 55.08/55.21 cut (((op1 (e12) (e13)) = (op1 (e12) (e13))) = ((e10) = (op1 (e12) (e13)))).
% 55.08/55.21 intro zenon_D_pnotp.
% 55.08/55.21 apply zenon_H2e1.
% 55.08/55.21 rewrite <- zenon_D_pnotp.
% 55.08/55.21 exact zenon_H2ba.
% 55.08/55.21 cut (((op1 (e12) (e13)) = (op1 (e12) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H2bb].
% 55.08/55.21 cut (((op1 (e12) (e13)) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H50c].
% 55.08/55.21 congruence.
% 55.08/55.21 exact (zenon_H50c zenon_H2e0).
% 55.08/55.21 apply zenon_H2bb. apply refl_equal.
% 55.08/55.21 apply zenon_H2bb. apply refl_equal.
% 55.08/55.21 apply (zenon_L141_); trivial.
% 55.08/55.21 apply zenon_H2bb. apply refl_equal.
% 55.08/55.21 apply zenon_H2bb. apply refl_equal.
% 55.08/55.21 apply (zenon_or_s _ _ zenon_H323); [ zenon_intro zenon_H2f4 | zenon_intro zenon_H324 ].
% 55.08/55.21 apply (zenon_L845_); trivial.
% 55.08/55.21 apply (zenon_or_s _ _ zenon_H324); [ zenon_intro zenon_H22f | zenon_intro zenon_H235 ].
% 55.08/55.21 apply (zenon_L634_); trivial.
% 55.08/55.21 apply (zenon_L165_); trivial.
% 55.08/55.21 (* end of lemma zenon_L846_ *)
% 55.08/55.21 assert (zenon_L847_ : (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> ((op1 (e10) (e11)) = (e11)) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (~((e12) = (e13))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> ((op1 (e11) (op1 (e11) (e12))) = (e12)) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> ((op1 (e11) (e10)) = (e11)) -> ((op1 (e12) (e10)) = (e10)) -> ((op1 (e11) (op1 (e11) (e10))) = (e10)) -> ((e23) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((h2 (e13)) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((e22) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> ((h2 (e12)) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> ((op2 (e22) (e23)) = (e21)) -> ((h2 (e11)) = (e21)) -> (~((h2 (op1 (e12) (e13))) = (op2 (h2 (e12)) (h2 (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> ((op1 (e13) (e10)) = (e12)) -> ((op1 (e11) (e12)) = (e12)) -> ((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) -> ((e10) = (op1 (e11) (e11))) -> ((op1 (e10) (e13)) = (e12)) -> ((e12) = (op1 (op1 (op1 (e11) (e11)) (op1 (e11) (e11))) (op1 (e11) (e11)))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> ((op1 (e11) (op1 (e11) (e13))) = (e13)) -> False).
% 55.08/55.21 do 0 intro. intros zenon_H2c2 zenon_H15a zenon_H32b zenon_H25 zenon_H316 zenon_H301 zenon_H18a zenon_H172 zenon_H1fd zenon_H1fe zenon_H2f8 zenon_H1cc zenon_H360 zenon_H23b zenon_H21a zenon_H236 zenon_H2ad zenon_H2e7 zenon_H30e zenon_H375 zenon_H322 zenon_H2e6 zenon_H163 zenon_H293 zenon_H292 zenon_H3b zenon_H461 zenon_H3f zenon_H44f zenon_H3c7 zenon_H270 zenon_H505 zenon_H2b9 zenon_H16b zenon_H1c6 zenon_H15 zenon_H13 zenon_H31b zenon_H155 zenon_H2c0 zenon_H29e.
% 55.08/55.21 apply (zenon_or_s _ _ zenon_H2c2); [ zenon_intro zenon_H159 | zenon_intro zenon_H2c3 ].
% 55.08/55.21 apply (zenon_L64_); trivial.
% 55.08/55.21 apply (zenon_or_s _ _ zenon_H2c3); [ zenon_intro zenon_H2b7 | zenon_intro zenon_H2c4 ].
% 55.08/55.21 apply (zenon_or_s _ _ zenon_H2e7); [ zenon_intro zenon_H2ac | zenon_intro zenon_H2e8 ].
% 55.08/55.21 apply (zenon_L154_); trivial.
% 55.08/55.21 apply (zenon_or_s _ _ zenon_H2e8); [ zenon_intro zenon_H2e3 | zenon_intro zenon_H2e9 ].
% 55.08/55.21 apply (zenon_L784_); trivial.
% 55.08/55.21 apply (zenon_or_s _ _ zenon_H2e9); [ zenon_intro zenon_H1d3 | zenon_intro zenon_H235 ].
% 55.08/55.21 apply (zenon_or_s _ _ zenon_H32b); [ zenon_intro zenon_H24 | zenon_intro zenon_H32c ].
% 55.08/55.21 apply (zenon_L4_); trivial.
% 55.08/55.21 apply (zenon_or_s _ _ zenon_H32c); [ zenon_intro zenon_H234 | zenon_intro zenon_H32d ].
% 55.08/55.21 apply (zenon_L846_); trivial.
% 55.08/55.21 apply (zenon_or_s _ _ zenon_H32d); [ zenon_intro zenon_H235 | zenon_intro zenon_H1c4 ].
% 55.08/55.21 apply (zenon_L163_); trivial.
% 55.08/55.21 apply (zenon_L485_); trivial.
% 55.08/55.21 apply (zenon_L163_); trivial.
% 55.08/55.21 apply (zenon_or_s _ _ zenon_H2c4); [ zenon_intro zenon_H1f3 | zenon_intro zenon_H234 ].
% 55.08/55.21 apply (zenon_L496_); trivial.
% 55.08/55.21 apply (zenon_L846_); trivial.
% 55.08/55.21 (* end of lemma zenon_L847_ *)
% 55.08/55.21 assert (zenon_L848_ : (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e12))\/((op1 (e11) (e10)) = (e13))))) -> ((op1 (e11) (op1 (e11) (e13))) = (e13)) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> ((e12) = (op1 (op1 (op1 (e11) (e11)) (op1 (e11) (e11))) (op1 (e11) (e11)))) -> ((e10) = (op1 (e11) (e11))) -> ((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) -> ((op1 (e13) (e10)) = (e12)) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((h2 (op1 (e12) (e13))) = (op2 (h2 (e12)) (h2 (e13))))) -> ((h2 (e11)) = (e21)) -> ((op2 (e22) (e23)) = (e21)) -> ((h2 (e12)) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> ((e22) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> ((h2 (e13)) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((e23) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((op1 (e11) (op1 (e11) (e10))) = (e10)) -> ((op1 (e12) (e10)) = (e10)) -> ((op1 (e11) (e10)) = (e11)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((e12) = (e13))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> ((op1 (e10) (e11)) = (e11)) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> ((op1 (e11) (op1 (e11) (e12))) = (e12)) -> ((op1 (e10) (e13)) = (e12)) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> False).
% 55.08/55.21 do 0 intro. intros zenon_H1f7 zenon_H1e8 zenon_H154 zenon_H1a9 zenon_H14b zenon_H15f zenon_H29e zenon_H2c0 zenon_H155 zenon_H13 zenon_H15 zenon_H16b zenon_H2b9 zenon_H505 zenon_H270 zenon_H3c7 zenon_H44f zenon_H3f zenon_H461 zenon_H3b zenon_H292 zenon_H293 zenon_H163 zenon_H2e6 zenon_H322 zenon_H2e7 zenon_H2ad zenon_H236 zenon_H21a zenon_H23b zenon_H360 zenon_H1cc zenon_H2f8 zenon_H1fe zenon_H1fd zenon_H172 zenon_H18a zenon_H301 zenon_H316 zenon_H25 zenon_H32b zenon_H15a zenon_H2c2 zenon_H375 zenon_H31b zenon_H30e.
% 55.08/55.21 apply (zenon_or_s _ _ zenon_H1f7); [ zenon_intro zenon_H1e7 | zenon_intro zenon_H1f8 ].
% 55.08/55.21 apply (zenon_L94_); trivial.
% 55.08/55.21 apply (zenon_or_s _ _ zenon_H1f8); [ zenon_intro zenon_H1a8 | zenon_intro zenon_H1f9 ].
% 55.08/55.21 apply (zenon_L82_); trivial.
% 55.08/55.21 apply (zenon_or_s _ _ zenon_H1f9); [ zenon_intro zenon_H1c6 | zenon_intro zenon_H1f3 ].
% 55.08/55.21 apply (zenon_L847_); trivial.
% 55.08/55.21 apply (zenon_L496_); trivial.
% 55.08/55.21 (* end of lemma zenon_L848_ *)
% 55.08/55.21 assert (zenon_L849_ : (((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e11)) = (e12))\/((op1 (e10) (e11)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> ((op1 (e10) (e13)) = (e12)) -> ((op1 (e11) (op1 (e11) (e12))) = (e12)) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (~((e12) = (e13))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> ((op1 (e11) (e10)) = (e11)) -> ((op1 (e12) (e10)) = (e10)) -> ((op1 (e11) (op1 (e11) (e10))) = (e10)) -> ((e23) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((h2 (e13)) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((e22) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> ((h2 (e12)) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> ((op2 (e22) (e23)) = (e21)) -> ((h2 (e11)) = (e21)) -> (~((h2 (op1 (e12) (e13))) = (op2 (h2 (e12)) (h2 (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> ((op1 (e11) (op1 (e11) (e13))) = (e13)) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e12))\/((op1 (e11) (e10)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> ((op1 (e12) (e11)) = (e12)) -> ((op1 (e13) (e10)) = (e12)) -> ((e12) = (op1 (op1 (op1 (e11) (e11)) (op1 (e11) (e11))) (op1 (e11) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> ((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) -> ((e10) = (op1 (e11) (e11))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> False).
% 55.08/55.21 do 0 intro. intros zenon_H206 zenon_H19d zenon_H30e zenon_H31b zenon_H375 zenon_H2c2 zenon_H15a zenon_H32b zenon_H25 zenon_H316 zenon_H301 zenon_H18a zenon_H172 zenon_H1fd zenon_H2f8 zenon_H1cc zenon_H360 zenon_H23b zenon_H21a zenon_H236 zenon_H2ad zenon_H2e7 zenon_H322 zenon_H2e6 zenon_H163 zenon_H293 zenon_H292 zenon_H3b zenon_H461 zenon_H3f zenon_H44f zenon_H3c7 zenon_H270 zenon_H505 zenon_H2b9 zenon_H2c0 zenon_H29e zenon_H15f zenon_H14b zenon_H1a9 zenon_H154 zenon_H1e8 zenon_H1f7 zenon_H202 zenon_H16b zenon_H155 zenon_H204 zenon_H15 zenon_H13 zenon_H17.
% 55.08/55.21 apply (zenon_or_s _ _ zenon_H206); [ zenon_intro zenon_H166 | zenon_intro zenon_H207 ].
% 55.08/55.21 apply (zenon_L78_); trivial.
% 55.08/55.21 apply (zenon_or_s _ _ zenon_H207); [ zenon_intro zenon_H1fe | zenon_intro zenon_H208 ].
% 55.08/55.21 apply (zenon_L848_); trivial.
% 55.08/55.21 apply (zenon_or_s _ _ zenon_H208); [ zenon_intro zenon_H1dc | zenon_intro zenon_H16 ].
% 55.08/55.21 apply (zenon_L102_); trivial.
% 55.08/55.21 apply (zenon_L2_); trivial.
% 55.08/55.21 (* end of lemma zenon_L849_ *)
% 55.08/55.21 assert (zenon_L850_ : (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> ((op1 (e13) (e10)) = (e12)) -> ((op1 (e12) (e11)) = (e12)) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e12))\/((op1 (e11) (e10)) = (e13))))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((h2 (op1 (e12) (e13))) = (op2 (h2 (e12)) (h2 (e13))))) -> ((h2 (e11)) = (e21)) -> ((op2 (e22) (e23)) = (e21)) -> ((h2 (e12)) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> ((e22) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> ((h2 (e13)) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((e23) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((op1 (e11) (op1 (e11) (e10))) = (e10)) -> ((op1 (e12) (e10)) = (e10)) -> ((op1 (e11) (e10)) = (e11)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((e12) = (e13))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> ((op1 (e11) (op1 (e11) (e12))) = (e12)) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e11)) = (e12))\/((op1 (e10) (e11)) = (e13))))) -> ((op1 (e12) (e12)) = (e13)) -> ((op1 (e11) (op1 (e11) (e13))) = (e13)) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e13)) = (e12))) -> ((e12) = (op1 (op1 (op1 (e11) (e11)) (op1 (e11) (e11))) (op1 (e11) (e11)))) -> ((e10) = (op1 (e11) (e11))) -> ((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> False).
% 55.08/55.21 do 0 intro. intros zenon_H32e zenon_H17 zenon_H204 zenon_H16b zenon_H202 zenon_H1f7 zenon_H1e8 zenon_H154 zenon_H1a9 zenon_H14b zenon_H15f zenon_H2c0 zenon_H2b9 zenon_H505 zenon_H270 zenon_H3c7 zenon_H44f zenon_H3f zenon_H461 zenon_H3b zenon_H292 zenon_H293 zenon_H163 zenon_H2e6 zenon_H322 zenon_H2e7 zenon_H2ad zenon_H236 zenon_H21a zenon_H23b zenon_H360 zenon_H2f8 zenon_H1fd zenon_H172 zenon_H18a zenon_H301 zenon_H316 zenon_H25 zenon_H32b zenon_H15a zenon_H2c2 zenon_H375 zenon_H30e zenon_H19d zenon_H206 zenon_H1d3 zenon_H29e zenon_H1cc zenon_H27d zenon_H155 zenon_H13 zenon_H15 zenon_H180.
% 55.08/55.21 apply (zenon_or_s _ _ zenon_H32e); [ zenon_intro zenon_H31b | zenon_intro zenon_H32f ].
% 55.08/55.21 apply (zenon_L849_); trivial.
% 55.08/55.21 apply (zenon_or_s _ _ zenon_H32f); [ zenon_intro zenon_H1ec | zenon_intro zenon_H330 ].
% 55.08/55.21 apply (zenon_L483_); trivial.
% 55.08/55.21 apply (zenon_or_s _ _ zenon_H330); [ zenon_intro zenon_H22f | zenon_intro zenon_H17f ].
% 55.08/55.21 exact (zenon_H27d zenon_H22f).
% 55.08/55.21 apply (zenon_L71_); trivial.
% 55.08/55.21 (* end of lemma zenon_L850_ *)
% 55.08/55.21 assert (zenon_L851_ : (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> ((e12) = (op1 (op1 (op1 (e11) (e11)) (op1 (e11) (e11))) (op1 (e11) (e11)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> ((op1 (e12) (e11)) = (e12)) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e12))\/((op1 (e11) (e10)) = (e13))))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (~((h2 (op1 (e12) (e13))) = (op2 (h2 (e12)) (h2 (e13))))) -> ((h2 (e11)) = (e21)) -> ((op2 (e22) (e23)) = (e21)) -> ((h2 (e12)) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> ((e22) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> ((h2 (e13)) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((e23) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((op1 (e11) (op1 (e11) (e10))) = (e10)) -> ((op1 (e12) (e10)) = (e10)) -> ((op1 (e11) (e10)) = (e11)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((e12) = (e13))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> ((op1 (e11) (op1 (e11) (e12))) = (e12)) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e11)) = (e12))\/((op1 (e10) (e11)) = (e13))))) -> ((op1 (e11) (op1 (e11) (e13))) = (e13)) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e13)) = (e12))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> ((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) -> ((op1 (e11) (e11)) = (e13)) -> ((e10) = (op1 (e11) (e11))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> False).
% 55.08/55.21 do 0 intro. intros zenon_H180 zenon_H155 zenon_H179 zenon_H172 zenon_H32e zenon_H17 zenon_H204 zenon_H202 zenon_H1f7 zenon_H1e8 zenon_H154 zenon_H1a9 zenon_H14b zenon_H15f zenon_H2c0 zenon_H505 zenon_H270 zenon_H3c7 zenon_H44f zenon_H3f zenon_H461 zenon_H3b zenon_H292 zenon_H293 zenon_H163 zenon_H2e6 zenon_H322 zenon_H2e7 zenon_H2ad zenon_H236 zenon_H21a zenon_H23b zenon_H360 zenon_H2f8 zenon_H1fd zenon_H18a zenon_H301 zenon_H316 zenon_H25 zenon_H32b zenon_H15a zenon_H2c2 zenon_H375 zenon_H30e zenon_H19d zenon_H206 zenon_H29e zenon_H1cc zenon_H27d zenon_H186 zenon_H15 zenon_H2b7 zenon_H13 zenon_H2b9.
% 55.08/55.21 apply (zenon_or_s _ _ zenon_H2e7); [ zenon_intro zenon_H2ac | zenon_intro zenon_H2e8 ].
% 55.08/55.21 apply (zenon_L154_); trivial.
% 55.08/55.21 apply (zenon_or_s _ _ zenon_H2e8); [ zenon_intro zenon_H2e3 | zenon_intro zenon_H2e9 ].
% 55.08/55.21 apply (zenon_L482_); trivial.
% 55.08/55.21 apply (zenon_or_s _ _ zenon_H2e9); [ zenon_intro zenon_H1d3 | zenon_intro zenon_H235 ].
% 55.08/55.21 apply (zenon_or_s _ _ zenon_H186); [ zenon_intro zenon_H16b | zenon_intro zenon_H187 ].
% 55.08/55.21 apply (zenon_L850_); trivial.
% 55.08/55.21 apply (zenon_or_s _ _ zenon_H187); [ zenon_intro zenon_H171 | zenon_intro zenon_H188 ].
% 55.08/55.21 apply (zenon_L69_); trivial.
% 55.08/55.21 apply (zenon_or_s _ _ zenon_H188); [ zenon_intro zenon_H178 | zenon_intro zenon_H17f ].
% 55.08/55.21 apply (zenon_L70_); trivial.
% 55.08/55.21 apply (zenon_L71_); trivial.
% 55.08/55.21 apply (zenon_L163_); trivial.
% 55.08/55.21 (* end of lemma zenon_L851_ *)
% 55.08/55.21 assert (zenon_L852_ : (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> ((e10) = (op1 (e11) (e11))) -> ((op1 (e11) (e11)) = (e13)) -> ((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> ((op1 (e11) (op1 (e11) (e13))) = (e13)) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e11)) = (e12))\/((op1 (e10) (e11)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> ((op1 (e11) (op1 (e11) (e12))) = (e12)) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (~((e12) = (e13))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> ((op1 (e11) (e10)) = (e11)) -> ((op1 (e12) (e10)) = (e10)) -> ((op1 (e11) (op1 (e11) (e10))) = (e10)) -> ((e23) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((h2 (e13)) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((e22) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> ((h2 (e12)) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> ((op2 (e22) (e23)) = (e21)) -> ((h2 (e11)) = (e21)) -> (~((h2 (op1 (e12) (e13))) = (op2 (h2 (e12)) (h2 (e13))))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e12))\/((op1 (e11) (e10)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> ((e12) = (op1 (op1 (op1 (e11) (e11)) (op1 (e11) (e11))) (op1 (e11) (e11)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e12)) = (e12))) -> (~((op1 (e12) (e13)) = (e12))) -> False).
% 55.08/55.21 do 0 intro. intros zenon_H2b9 zenon_H13 zenon_H2b7 zenon_H15 zenon_H186 zenon_H1cc zenon_H29e zenon_H206 zenon_H19d zenon_H30e zenon_H375 zenon_H2c2 zenon_H15a zenon_H32b zenon_H25 zenon_H316 zenon_H301 zenon_H18a zenon_H1fd zenon_H2f8 zenon_H360 zenon_H23b zenon_H21a zenon_H236 zenon_H2ad zenon_H2e7 zenon_H322 zenon_H2e6 zenon_H163 zenon_H293 zenon_H292 zenon_H3b zenon_H461 zenon_H3f zenon_H44f zenon_H3c7 zenon_H270 zenon_H505 zenon_H2c0 zenon_H15f zenon_H14b zenon_H1a9 zenon_H154 zenon_H1e8 zenon_H1f7 zenon_H204 zenon_H17 zenon_H32e zenon_H172 zenon_H179 zenon_H155 zenon_H180 zenon_H1d1 zenon_H27d.
% 55.08/55.21 apply (zenon_or_s _ _ zenon_H23b); [ zenon_intro zenon_H21b | zenon_intro zenon_H23d ].
% 55.08/55.21 apply (zenon_L109_); trivial.
% 55.08/55.21 apply (zenon_or_s _ _ zenon_H23d); [ zenon_intro zenon_H202 | zenon_intro zenon_H23e ].
% 55.08/55.21 apply (zenon_L851_); trivial.
% 55.08/55.21 apply (zenon_or_s _ _ zenon_H23e); [ zenon_intro zenon_H1cb | zenon_intro zenon_H22f ].
% 55.08/55.21 exact (zenon_H1d1 zenon_H1cb).
% 55.08/55.21 exact (zenon_H27d zenon_H22f).
% 55.08/55.21 (* end of lemma zenon_L852_ *)
% 55.08/55.21 assert (zenon_L853_ : (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> ((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) -> ((e10) = (op1 (e11) (e11))) -> ((e12) = (op1 (op1 (op1 (e11) (e11)) (op1 (e11) (e11))) (op1 (e11) (e11)))) -> (~((op1 (e12) (e13)) = (e12))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e11)) = (e12))\/((op1 (e10) (e11)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> ((op1 (e11) (op1 (e11) (e12))) = (e12)) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (~((e12) = (e13))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> ((op1 (e11) (e10)) = (e11)) -> ((op1 (e12) (e10)) = (e10)) -> ((op1 (e11) (op1 (e11) (e10))) = (e10)) -> ((e23) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((h2 (e13)) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((e22) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> ((h2 (e12)) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> ((op2 (e22) (e23)) = (e21)) -> ((h2 (e11)) = (e21)) -> (~((h2 (op1 (e12) (e13))) = (op2 (h2 (e12)) (h2 (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e12))\/((op1 (e11) (e10)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> ((op1 (e12) (e11)) = (e12)) -> ((op1 (e13) (e10)) = (e12)) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> ((op1 (e11) (op1 (e11) (e13))) = (e13)) -> ((op1 (e11) (e13)) = (e13)) -> False).
% 55.08/55.21 do 0 intro. intros zenon_H180 zenon_H15 zenon_H13 zenon_H155 zenon_H27d zenon_H1cc zenon_H206 zenon_H19d zenon_H30e zenon_H375 zenon_H2c2 zenon_H15a zenon_H32b zenon_H25 zenon_H316 zenon_H301 zenon_H18a zenon_H172 zenon_H1fd zenon_H2f8 zenon_H360 zenon_H23b zenon_H21a zenon_H236 zenon_H2ad zenon_H2e7 zenon_H322 zenon_H2e6 zenon_H163 zenon_H293 zenon_H292 zenon_H3b zenon_H461 zenon_H3f zenon_H44f zenon_H3c7 zenon_H270 zenon_H505 zenon_H2b9 zenon_H15f zenon_H14b zenon_H1a9 zenon_H154 zenon_H1e8 zenon_H1f7 zenon_H202 zenon_H16b zenon_H204 zenon_H17 zenon_H32e zenon_H2c0 zenon_H29e zenon_H234.
% 55.08/55.21 apply (zenon_or_s _ _ zenon_H2e7); [ zenon_intro zenon_H2ac | zenon_intro zenon_H2e8 ].
% 55.08/55.21 apply (zenon_L154_); trivial.
% 55.08/55.21 apply (zenon_or_s _ _ zenon_H2e8); [ zenon_intro zenon_H2e3 | zenon_intro zenon_H2e9 ].
% 55.08/55.21 apply (zenon_L482_); trivial.
% 55.08/55.21 apply (zenon_or_s _ _ zenon_H2e9); [ zenon_intro zenon_H1d3 | zenon_intro zenon_H235 ].
% 55.08/55.21 apply (zenon_L850_); trivial.
% 55.08/55.21 apply (zenon_L165_); trivial.
% 55.08/55.21 (* end of lemma zenon_L853_ *)
% 55.08/55.21 assert (zenon_L854_ : (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> ((op1 (e11) (e13)) = (e13)) -> ((op1 (e11) (op1 (e11) (e13))) = (e13)) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> ((op1 (e12) (e11)) = (e12)) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e12))\/((op1 (e11) (e10)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((h2 (op1 (e12) (e13))) = (op2 (h2 (e12)) (h2 (e13))))) -> ((h2 (e11)) = (e21)) -> ((op2 (e22) (e23)) = (e21)) -> ((h2 (e12)) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> ((e22) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> ((h2 (e13)) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((e23) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((op1 (e11) (op1 (e11) (e10))) = (e10)) -> ((op1 (e12) (e10)) = (e10)) -> ((op1 (e11) (e10)) = (e11)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((e12) = (e13))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> ((op1 (e11) (op1 (e11) (e12))) = (e12)) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e11)) = (e12))\/((op1 (e10) (e11)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e13)) = (e12))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> ((e12) = (op1 (op1 (op1 (e11) (e11)) (op1 (e11) (e11))) (op1 (e11) (e11)))) -> ((e10) = (op1 (e11) (e11))) -> ((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> False).
% 55.08/55.21 do 0 intro. intros zenon_H186 zenon_H234 zenon_H29e zenon_H2c0 zenon_H32e zenon_H17 zenon_H204 zenon_H202 zenon_H1f7 zenon_H1e8 zenon_H154 zenon_H1a9 zenon_H14b zenon_H15f zenon_H2b9 zenon_H505 zenon_H270 zenon_H3c7 zenon_H44f zenon_H3f zenon_H461 zenon_H3b zenon_H292 zenon_H293 zenon_H163 zenon_H2e6 zenon_H322 zenon_H2e7 zenon_H2ad zenon_H236 zenon_H21a zenon_H23b zenon_H360 zenon_H2f8 zenon_H1fd zenon_H18a zenon_H301 zenon_H316 zenon_H25 zenon_H32b zenon_H15a zenon_H2c2 zenon_H375 zenon_H30e zenon_H19d zenon_H206 zenon_H1cc zenon_H27d zenon_H172 zenon_H179 zenon_H155 zenon_H13 zenon_H15 zenon_H180.
% 55.08/55.21 apply (zenon_or_s _ _ zenon_H186); [ zenon_intro zenon_H16b | zenon_intro zenon_H187 ].
% 55.08/55.21 apply (zenon_L853_); trivial.
% 55.08/55.21 apply (zenon_or_s _ _ zenon_H187); [ zenon_intro zenon_H171 | zenon_intro zenon_H188 ].
% 55.08/55.21 apply (zenon_L69_); trivial.
% 55.08/55.21 apply (zenon_or_s _ _ zenon_H188); [ zenon_intro zenon_H178 | zenon_intro zenon_H17f ].
% 55.08/55.21 apply (zenon_L70_); trivial.
% 55.08/55.21 apply (zenon_L71_); trivial.
% 55.08/55.21 (* end of lemma zenon_L854_ *)
% 55.08/55.21 assert (zenon_L855_ : (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> ((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) -> ((e10) = (op1 (e11) (e11))) -> ((e12) = (op1 (op1 (op1 (e11) (e11)) (op1 (e11) (e11))) (op1 (e11) (e11)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e11)) = (e12))\/((op1 (e10) (e11)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> ((op1 (e11) (op1 (e11) (e12))) = (e12)) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (~((e12) = (e13))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> ((op1 (e11) (e10)) = (e11)) -> ((op1 (e12) (e10)) = (e10)) -> ((op1 (e11) (op1 (e11) (e10))) = (e10)) -> ((e23) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((h2 (e13)) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((e22) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> ((h2 (e12)) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> ((op2 (e22) (e23)) = (e21)) -> ((h2 (e11)) = (e21)) -> (~((h2 (op1 (e12) (e13))) = (op2 (h2 (e12)) (h2 (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e12))\/((op1 (e11) (e10)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> ((op1 (e11) (op1 (e11) (e13))) = (e13)) -> ((op1 (e11) (e13)) = (e13)) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e12) (e12)) = (e12))) -> (~((op1 (e12) (e13)) = (e12))) -> False).
% 55.08/55.21 do 0 intro. intros zenon_H180 zenon_H15 zenon_H13 zenon_H155 zenon_H179 zenon_H172 zenon_H1cc zenon_H206 zenon_H19d zenon_H30e zenon_H375 zenon_H2c2 zenon_H15a zenon_H32b zenon_H25 zenon_H316 zenon_H301 zenon_H18a zenon_H1fd zenon_H2f8 zenon_H360 zenon_H23b zenon_H21a zenon_H236 zenon_H2ad zenon_H2e7 zenon_H322 zenon_H2e6 zenon_H163 zenon_H293 zenon_H292 zenon_H3b zenon_H461 zenon_H3f zenon_H44f zenon_H3c7 zenon_H270 zenon_H505 zenon_H2b9 zenon_H15f zenon_H14b zenon_H1a9 zenon_H154 zenon_H1e8 zenon_H1f7 zenon_H204 zenon_H17 zenon_H32e zenon_H2c0 zenon_H29e zenon_H234 zenon_H186 zenon_H1d1 zenon_H27d.
% 55.08/55.21 apply (zenon_or_s _ _ zenon_H23b); [ zenon_intro zenon_H21b | zenon_intro zenon_H23d ].
% 55.08/55.21 apply (zenon_L109_); trivial.
% 55.08/55.21 apply (zenon_or_s _ _ zenon_H23d); [ zenon_intro zenon_H202 | zenon_intro zenon_H23e ].
% 55.08/55.21 apply (zenon_L854_); trivial.
% 55.08/55.21 apply (zenon_or_s _ _ zenon_H23e); [ zenon_intro zenon_H1cb | zenon_intro zenon_H22f ].
% 55.08/55.21 exact (zenon_H1d1 zenon_H1cb).
% 55.08/55.21 exact (zenon_H27d zenon_H22f).
% 55.08/55.21 (* end of lemma zenon_L855_ *)
% 55.08/55.21 assert (zenon_L856_ : (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> ((op1 (e11) (e11)) = (e12)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> ((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) -> ((e10) = (op1 (e11) (e11))) -> ((e12) = (op1 (op1 (op1 (e11) (e11)) (op1 (e11) (e11))) (op1 (e11) (e11)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e11)) = (e12))\/((op1 (e10) (e11)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> ((op1 (e11) (op1 (e11) (e12))) = (e12)) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (~((e12) = (e13))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> ((op1 (e11) (e10)) = (e11)) -> ((op1 (e12) (e10)) = (e10)) -> ((op1 (e11) (op1 (e11) (e10))) = (e10)) -> ((e23) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((h2 (e13)) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((e22) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> ((h2 (e12)) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> ((op2 (e22) (e23)) = (e21)) -> ((h2 (e11)) = (e21)) -> (~((h2 (op1 (e12) (e13))) = (op2 (h2 (e12)) (h2 (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e12))\/((op1 (e11) (e10)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> ((op1 (e11) (op1 (e11) (e13))) = (e13)) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e12) (e12)) = (e12))) -> (~((op1 (e12) (e13)) = (e12))) -> False).
% 55.08/55.21 do 0 intro. intros zenon_H358 zenon_H1b8 zenon_H180 zenon_H15 zenon_H13 zenon_H155 zenon_H179 zenon_H172 zenon_H1cc zenon_H206 zenon_H19d zenon_H30e zenon_H375 zenon_H2c2 zenon_H15a zenon_H32b zenon_H25 zenon_H316 zenon_H301 zenon_H18a zenon_H1fd zenon_H2f8 zenon_H360 zenon_H23b zenon_H21a zenon_H236 zenon_H2ad zenon_H2e7 zenon_H322 zenon_H2e6 zenon_H163 zenon_H293 zenon_H292 zenon_H3b zenon_H461 zenon_H3f zenon_H44f zenon_H3c7 zenon_H270 zenon_H505 zenon_H2b9 zenon_H15f zenon_H14b zenon_H1a9 zenon_H154 zenon_H1e8 zenon_H1f7 zenon_H204 zenon_H17 zenon_H32e zenon_H2c0 zenon_H29e zenon_H186 zenon_H1d1 zenon_H27d.
% 55.08/55.21 apply (zenon_or_s _ _ zenon_H2c2); [ zenon_intro zenon_H159 | zenon_intro zenon_H2c3 ].
% 55.08/55.21 apply (zenon_L64_); trivial.
% 55.08/55.21 apply (zenon_or_s _ _ zenon_H2c3); [ zenon_intro zenon_H2b7 | zenon_intro zenon_H2c4 ].
% 55.08/55.21 apply (zenon_L852_); trivial.
% 55.08/55.21 apply (zenon_or_s _ _ zenon_H2c4); [ zenon_intro zenon_H1f3 | zenon_intro zenon_H234 ].
% 55.08/55.21 apply (zenon_L289_); trivial.
% 55.08/55.21 apply (zenon_L855_); trivial.
% 55.08/55.21 (* end of lemma zenon_L856_ *)
% 55.08/55.21 assert (zenon_L857_ : (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> ((op1 (e11) (e12)) = (e12)) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> ((op1 (e11) (op1 (e11) (e13))) = (e13)) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> ((op1 (e12) (e11)) = (e12)) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e12))\/((op1 (e11) (e10)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((h2 (op1 (e12) (e13))) = (op2 (h2 (e12)) (h2 (e13))))) -> ((h2 (e11)) = (e21)) -> ((op2 (e22) (e23)) = (e21)) -> ((h2 (e12)) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> ((e22) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> ((h2 (e13)) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((e23) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((op1 (e11) (op1 (e11) (e10))) = (e10)) -> ((op1 (e12) (e10)) = (e10)) -> ((op1 (e11) (e10)) = (e11)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((e12) = (e13))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> ((op1 (e11) (op1 (e11) (e12))) = (e12)) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e11)) = (e12))\/((op1 (e10) (e11)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e13)) = (e12))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> ((e12) = (op1 (op1 (op1 (e11) (e11)) (op1 (e11) (e11))) (op1 (e11) (e11)))) -> ((e10) = (op1 (e11) (e11))) -> ((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> False).
% 55.08/55.21 do 0 intro. intros zenon_H1ed zenon_H1c6 zenon_H186 zenon_H29e zenon_H2c0 zenon_H32e zenon_H17 zenon_H204 zenon_H202 zenon_H1f7 zenon_H1e8 zenon_H154 zenon_H1a9 zenon_H14b zenon_H15f zenon_H2b9 zenon_H505 zenon_H270 zenon_H3c7 zenon_H44f zenon_H3f zenon_H461 zenon_H3b zenon_H292 zenon_H293 zenon_H163 zenon_H2e6 zenon_H322 zenon_H2e7 zenon_H2ad zenon_H236 zenon_H21a zenon_H23b zenon_H360 zenon_H2f8 zenon_H1fd zenon_H18a zenon_H301 zenon_H316 zenon_H25 zenon_H32b zenon_H15a zenon_H2c2 zenon_H375 zenon_H30e zenon_H19d zenon_H206 zenon_H1cc zenon_H27d zenon_H172 zenon_H179 zenon_H155 zenon_H13 zenon_H15 zenon_H180.
% 55.08/55.21 apply (zenon_or_s _ _ zenon_H2c2); [ zenon_intro zenon_H159 | zenon_intro zenon_H2c3 ].
% 55.08/55.21 apply (zenon_L64_); trivial.
% 55.08/55.21 apply (zenon_or_s _ _ zenon_H2c3); [ zenon_intro zenon_H2b7 | zenon_intro zenon_H2c4 ].
% 55.08/55.21 apply (zenon_L851_); trivial.
% 55.08/55.21 apply (zenon_or_s _ _ zenon_H2c4); [ zenon_intro zenon_H1f3 | zenon_intro zenon_H234 ].
% 55.08/55.21 apply (zenon_L498_); trivial.
% 55.08/55.21 apply (zenon_L854_); trivial.
% 55.08/55.21 (* end of lemma zenon_L857_ *)
% 55.08/55.21 assert (zenon_L858_ : (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> ((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) -> ((e12) = (op1 (op1 (op1 (e11) (e11)) (op1 (e11) (e11))) (op1 (e11) (e11)))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e12))\/((op1 (e11) (e10)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((h2 (op1 (e12) (e13))) = (op2 (h2 (e12)) (h2 (e13))))) -> ((h2 (e11)) = (e21)) -> ((op2 (e22) (e23)) = (e21)) -> ((h2 (e12)) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> ((e22) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> ((h2 (e13)) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((e23) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((e12) = (e13))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> ((op1 (e11) (op1 (e11) (e12))) = (e12)) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e11)) = (e12))\/((op1 (e10) (e11)) = (e13))))) -> (~((op1 (e12) (e13)) = (e12))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> ((op1 (e11) (op1 (e11) (e10))) = (e10)) -> ((op1 (e12) (e10)) = (e10)) -> ((op1 (e11) (e10)) = (e11)) -> ((op1 (e10) (e12)) = (e10)) -> ((e10) = (op1 (e11) (e11))) -> (~((op1 (e12) (e12)) = (e11))) -> (~((op1 (e12) (e12)) = (e12))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> ((op1 (e11) (op1 (e11) (e13))) = (e13)) -> False).
% 55.08/55.21 do 0 intro. intros zenon_H1fa zenon_H172 zenon_H15 zenon_H155 zenon_H1ed zenon_H186 zenon_H2c0 zenon_H32e zenon_H17 zenon_H204 zenon_H1f7 zenon_H1e8 zenon_H154 zenon_H1a9 zenon_H14b zenon_H15f zenon_H2b9 zenon_H505 zenon_H270 zenon_H3c7 zenon_H44f zenon_H3f zenon_H461 zenon_H3b zenon_H2e6 zenon_H322 zenon_H2e7 zenon_H2ad zenon_H236 zenon_H21a zenon_H23b zenon_H360 zenon_H2f8 zenon_H1fd zenon_H18a zenon_H301 zenon_H316 zenon_H25 zenon_H32b zenon_H15a zenon_H2c2 zenon_H375 zenon_H30e zenon_H19d zenon_H206 zenon_H27d zenon_H179 zenon_H180 zenon_H358 zenon_H209 zenon_H1da zenon_H1de zenon_H292 zenon_H293 zenon_H163 zenon_H18f zenon_H13 zenon_H23f zenon_H1d1 zenon_H1cc zenon_H29e.
% 55.08/55.21 apply (zenon_or_s _ _ zenon_H1fa); [ zenon_intro zenon_H156 | zenon_intro zenon_H1fb ].
% 55.08/55.21 apply (zenon_L63_); trivial.
% 55.08/55.21 apply (zenon_or_s _ _ zenon_H1fb); [ zenon_intro zenon_H1b8 | zenon_intro zenon_H1fc ].
% 55.08/55.21 apply (zenon_L856_); trivial.
% 55.08/55.21 apply (zenon_or_s _ _ zenon_H1fc); [ zenon_intro zenon_H1c6 | zenon_intro zenon_H1ec ].
% 55.08/55.21 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H1dc | zenon_intro zenon_H20a ].
% 55.08/55.21 apply (zenon_L486_); trivial.
% 55.08/55.21 apply (zenon_or_s _ _ zenon_H20a); [ zenon_intro zenon_H1b8 | zenon_intro zenon_H20b ].
% 55.08/55.21 apply (zenon_L856_); trivial.
% 55.08/55.21 apply (zenon_or_s _ _ zenon_H20b); [ zenon_intro zenon_H202 | zenon_intro zenon_H171 ].
% 55.08/55.21 apply (zenon_L857_); trivial.
% 55.08/55.21 apply (zenon_L69_); trivial.
% 55.08/55.21 apply (zenon_L500_); trivial.
% 55.08/55.21 (* end of lemma zenon_L858_ *)
% 55.08/55.21 assert (zenon_L859_ : (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> ((op1 (e13) (e10)) = (e12)) -> ((op1 (e12) (e11)) = (e12)) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((h2 (op1 (e12) (e13))) = (op2 (h2 (e12)) (h2 (e13))))) -> ((h2 (e11)) = (e21)) -> ((op2 (e22) (e23)) = (e21)) -> ((h2 (e12)) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> ((e22) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> ((h2 (e13)) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((e23) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((op1 (e11) (op1 (e11) (e10))) = (e10)) -> ((op1 (e12) (e10)) = (e10)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((e12) = (e13))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> ((op1 (e11) (op1 (e11) (e12))) = (e12)) -> ((op1 (e10) (e13)) = (e12)) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e11)) = (e12))\/((op1 (e10) (e11)) = (e13))))) -> (~((op1 (e11) (e11)) = (e11))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> ((e10) = (op1 (e11) (e11))) -> ((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> ((e12) = (op1 (op1 (op1 (e11) (e11)) (op1 (e11) (e11))) (op1 (e11) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e12))\/((op1 (e11) (e10)) = (e13))))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> ((op1 (e11) (op1 (e11) (e13))) = (e13)) -> ((op1 (e13) (e11)) = (e13)) -> False).
% 55.08/55.21 do 0 intro. intros zenon_H474 zenon_H17 zenon_H204 zenon_H16b zenon_H202 zenon_H1f7 zenon_H1e8 zenon_H2c0 zenon_H2b9 zenon_H505 zenon_H270 zenon_H3c7 zenon_H44f zenon_H3f zenon_H461 zenon_H3b zenon_H292 zenon_H293 zenon_H2e6 zenon_H322 zenon_H2e7 zenon_H2ad zenon_H236 zenon_H21a zenon_H23b zenon_H360 zenon_H1cc zenon_H2f8 zenon_H1fd zenon_H172 zenon_H301 zenon_H316 zenon_H25 zenon_H32b zenon_H2c2 zenon_H375 zenon_H31b zenon_H30e zenon_H19d zenon_H206 zenon_H473 zenon_H15a zenon_H13 zenon_H15 zenon_H154 zenon_H155 zenon_H1a9 zenon_H14b zenon_H15f zenon_H18a zenon_H29e zenon_H1c3.
% 55.08/55.21 apply (zenon_or_s _ _ zenon_H474); [ zenon_intro zenon_H163 | zenon_intro zenon_H475 ].
% 55.08/55.21 apply (zenon_L849_); trivial.
% 55.08/55.21 apply (zenon_or_s _ _ zenon_H475); [ zenon_intro zenon_H1a7 | zenon_intro zenon_H476 ].
% 55.08/55.21 exact (zenon_H473 zenon_H1a7).
% 55.08/55.21 apply (zenon_or_s _ _ zenon_H476); [ zenon_intro zenon_H1a8 | zenon_intro zenon_H214 ].
% 55.08/55.21 apply (zenon_L82_); trivial.
% 55.08/55.21 apply (zenon_L149_); trivial.
% 55.08/55.21 (* end of lemma zenon_L859_ *)
% 55.08/55.21 assert (zenon_L860_ : (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e12))\/((op1 (e11) (e10)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (~((op1 (e11) (e11)) = (e11))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> ((op1 (e10) (e13)) = (e12)) -> ((op1 (e11) (op1 (e11) (e12))) = (e12)) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (~((e12) = (e13))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> ((op1 (e12) (e10)) = (e10)) -> ((op1 (e11) (op1 (e11) (e10))) = (e10)) -> ((e23) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((h2 (e13)) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((e22) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> ((h2 (e12)) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> ((op2 (e22) (e23)) = (e21)) -> ((h2 (e11)) = (e21)) -> (~((h2 (op1 (e12) (e13))) = (op2 (h2 (e12)) (h2 (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> ((op1 (e12) (e11)) = (e12)) -> ((op1 (e13) (e10)) = (e12)) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e10) (e10)) = (e13)) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e11)) = (e12))\/((op1 (e10) (e11)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> ((op1 (e11) (op1 (e11) (e13))) = (e13)) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> ((op1 (e12) (e12)) = (e13)) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e12) (e13)) = (e12))) -> (~((op1 (e12) (e12)) = (e12))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> ((e12) = (op1 (op1 (op1 (e11) (e11)) (op1 (e11) (e11))) (op1 (e11) (e11)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> ((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) -> ((e10) = (op1 (e11) (e11))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> False).
% 55.08/55.21 do 0 intro. intros zenon_H1be zenon_H1b1 zenon_H15f zenon_H14b zenon_H1a9 zenon_H154 zenon_H15a zenon_H473 zenon_H30e zenon_H31b zenon_H375 zenon_H2c2 zenon_H32b zenon_H25 zenon_H236 zenon_H2ad zenon_H2e7 zenon_H322 zenon_H2e6 zenon_H293 zenon_H292 zenon_H3b zenon_H461 zenon_H3f zenon_H44f zenon_H3c7 zenon_H270 zenon_H505 zenon_H2b9 zenon_H2c0 zenon_H1e8 zenon_H1f7 zenon_H202 zenon_H16b zenon_H474 zenon_H1d8 zenon_H1a3 zenon_H206 zenon_H19d zenon_H29e zenon_H360 zenon_H1cc zenon_H1d3 zenon_H2f8 zenon_H1fd zenon_H18a zenon_H301 zenon_H316 zenon_H27d zenon_H1d1 zenon_H186 zenon_H204 zenon_H172 zenon_H179 zenon_H155 zenon_H180 zenon_H21a zenon_H23b zenon_H15 zenon_H13 zenon_H17.
% 55.08/55.21 apply (zenon_or_s _ _ zenon_H1be); [ zenon_intro zenon_H1b0 | zenon_intro zenon_H1c1 ].
% 55.08/55.21 apply (zenon_L84_); trivial.
% 55.08/55.21 apply (zenon_or_s _ _ zenon_H1c1); [ zenon_intro zenon_H1c3 | zenon_intro zenon_H1c2 ].
% 55.08/55.21 apply (zenon_L859_); trivial.
% 55.08/55.21 apply (zenon_or_s _ _ zenon_H1c2); [ zenon_intro zenon_H1ba | zenon_intro zenon_H1c4 ].
% 55.08/55.21 apply (zenon_L91_); trivial.
% 55.08/55.21 apply (zenon_L487_); trivial.
% 55.08/55.21 (* end of lemma zenon_L860_ *)
% 55.08/55.21 assert (zenon_L861_ : (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e12) (e12)) = (e12))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> ((op1 (e12) (e12)) = (e13)) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((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)) = (e13)) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> ((op1 (e13) (e10)) = (e12)) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (~((h2 (op1 (e12) (e13))) = (op2 (h2 (e12)) (h2 (e13))))) -> ((h2 (e11)) = (e21)) -> ((op2 (e22) (e23)) = (e21)) -> ((h2 (e12)) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> ((e22) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> ((h2 (e13)) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((e23) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((op1 (e11) (op1 (e11) (e10))) = (e10)) -> ((op1 (e12) (e10)) = (e10)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> ((op1 (e11) (op1 (e11) (e12))) = (e12)) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e11)) = (e11))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e12))\/((op1 (e11) (e10)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> ((op1 (e11) (e11)) = (e13)) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> ((op1 (e11) (op1 (e11) (e13))) = (e13)) -> ((op1 (e12) (e11)) = (e12)) -> (~((e12) = (e13))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e12) (e13)) = (e12))) -> ((e12) = (op1 (op1 (op1 (e11) (e11)) (op1 (e11) (e11))) (op1 (e11) (e11)))) -> ((e10) = (op1 (e11) (e11))) -> ((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> False).
% 55.08/55.21 do 0 intro. intros zenon_H32e zenon_H17 zenon_H23b zenon_H21a zenon_H179 zenon_H172 zenon_H204 zenon_H186 zenon_H1d1 zenon_H316 zenon_H301 zenon_H18a zenon_H1fd zenon_H2f8 zenon_H1d3 zenon_H360 zenon_H19d zenon_H206 zenon_H1a3 zenon_H1d8 zenon_H474 zenon_H16b zenon_H1f7 zenon_H1e8 zenon_H2c0 zenon_H505 zenon_H270 zenon_H3c7 zenon_H44f zenon_H3f zenon_H461 zenon_H3b zenon_H292 zenon_H293 zenon_H2e6 zenon_H322 zenon_H25 zenon_H32b zenon_H2c2 zenon_H375 zenon_H30e zenon_H473 zenon_H15a zenon_H154 zenon_H1a9 zenon_H14b zenon_H15f zenon_H1b1 zenon_H1be zenon_H2b9 zenon_H2b7 zenon_H1cc zenon_H29e zenon_H202 zenon_H236 zenon_H2ad zenon_H2e7 zenon_H27d zenon_H155 zenon_H13 zenon_H15 zenon_H180.
% 55.08/55.21 apply (zenon_or_s _ _ zenon_H32e); [ zenon_intro zenon_H31b | zenon_intro zenon_H32f ].
% 55.08/55.21 apply (zenon_L860_); trivial.
% 55.08/55.21 apply (zenon_or_s _ _ zenon_H32f); [ zenon_intro zenon_H1ec | zenon_intro zenon_H330 ].
% 55.08/55.21 apply (zenon_L507_); trivial.
% 55.08/55.21 apply (zenon_or_s _ _ zenon_H330); [ zenon_intro zenon_H22f | zenon_intro zenon_H17f ].
% 55.08/55.21 exact (zenon_H27d zenon_H22f).
% 55.08/55.21 apply (zenon_L71_); trivial.
% 55.08/55.21 (* end of lemma zenon_L861_ *)
% 55.08/55.21 assert (zenon_L862_ : (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> ((e12) = (op1 (op1 (op1 (e11) (e11)) (op1 (e11) (e11))) (op1 (e11) (e11)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e12) (e12)) = (e12))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((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)) = (e13)) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (~((h2 (op1 (e12) (e13))) = (op2 (h2 (e12)) (h2 (e13))))) -> ((h2 (e11)) = (e21)) -> ((op2 (e22) (e23)) = (e21)) -> ((h2 (e12)) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> ((e22) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> ((h2 (e13)) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((e23) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((op1 (e11) (op1 (e11) (e10))) = (e10)) -> ((op1 (e12) (e10)) = (e10)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> ((op1 (e11) (op1 (e11) (e12))) = (e12)) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e11)) = (e11))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e12))\/((op1 (e11) (e10)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> ((op1 (e11) (op1 (e11) (e13))) = (e13)) -> ((op1 (e12) (e11)) = (e12)) -> (~((e12) = (e13))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e12) (e13)) = (e12))) -> ((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) -> ((op1 (e11) (e11)) = (e13)) -> ((e10) = (op1 (e11) (e11))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> False).
% 55.08/55.21 do 0 intro. intros zenon_H180 zenon_H155 zenon_H179 zenon_H172 zenon_H32e zenon_H17 zenon_H23b zenon_H21a zenon_H204 zenon_H186 zenon_H1d1 zenon_H316 zenon_H301 zenon_H18a zenon_H1fd zenon_H2f8 zenon_H360 zenon_H19d zenon_H206 zenon_H1a3 zenon_H1d8 zenon_H474 zenon_H1f7 zenon_H1e8 zenon_H2c0 zenon_H505 zenon_H270 zenon_H3c7 zenon_H44f zenon_H3f zenon_H461 zenon_H3b zenon_H292 zenon_H293 zenon_H2e6 zenon_H322 zenon_H25 zenon_H32b zenon_H2c2 zenon_H375 zenon_H30e zenon_H473 zenon_H15a zenon_H154 zenon_H1a9 zenon_H14b zenon_H15f zenon_H1b1 zenon_H1be zenon_H1cc zenon_H29e zenon_H202 zenon_H236 zenon_H2ad zenon_H2e7 zenon_H27d zenon_H15 zenon_H2b7 zenon_H13 zenon_H2b9.
% 55.08/55.21 apply (zenon_or_s _ _ zenon_H2e7); [ zenon_intro zenon_H2ac | zenon_intro zenon_H2e8 ].
% 55.08/55.21 apply (zenon_L154_); trivial.
% 55.08/55.21 apply (zenon_or_s _ _ zenon_H2e8); [ zenon_intro zenon_H2e3 | zenon_intro zenon_H2e9 ].
% 55.08/55.21 apply (zenon_L491_); trivial.
% 55.08/55.21 apply (zenon_or_s _ _ zenon_H2e9); [ zenon_intro zenon_H1d3 | zenon_intro zenon_H235 ].
% 55.08/55.21 apply (zenon_or_s _ _ zenon_H186); [ zenon_intro zenon_H16b | zenon_intro zenon_H187 ].
% 55.08/55.21 apply (zenon_L861_); trivial.
% 55.08/55.21 apply (zenon_or_s _ _ zenon_H187); [ zenon_intro zenon_H171 | zenon_intro zenon_H188 ].
% 55.08/55.21 apply (zenon_L69_); trivial.
% 55.08/55.21 apply (zenon_or_s _ _ zenon_H188); [ zenon_intro zenon_H178 | zenon_intro zenon_H17f ].
% 55.08/55.21 apply (zenon_L70_); trivial.
% 55.08/55.21 apply (zenon_L71_); trivial.
% 55.08/55.21 apply (zenon_L163_); trivial.
% 55.08/55.21 (* end of lemma zenon_L862_ *)
% 55.08/55.21 assert (zenon_L863_ : (~((op1 (e12) (e10)) = (e12))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> ((e10) = (op1 (e11) (e11))) -> ((op1 (e11) (e11)) = (e13)) -> ((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((e12) = (e13))) -> ((op1 (e11) (op1 (e11) (e13))) = (e13)) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e12))\/((op1 (e11) (e10)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (~((op1 (e11) (e11)) = (e11))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> ((op1 (e11) (op1 (e11) (e12))) = (e12)) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> ((op1 (e12) (e10)) = (e10)) -> ((op1 (e11) (op1 (e11) (e10))) = (e10)) -> ((e23) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((h2 (e13)) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((e22) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> ((h2 (e12)) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> ((op2 (e22) (e23)) = (e21)) -> ((h2 (e11)) = (e21)) -> (~((h2 (op1 (e12) (e13))) = (op2 (h2 (e12)) (h2 (e13))))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e10) (e10)) = (e13)) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e11)) = (e12))\/((op1 (e10) (e11)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> ((e12) = (op1 (op1 (op1 (e11) (e11)) (op1 (e11) (e11))) (op1 (e11) (e11)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e12)) = (e12))) -> (~((op1 (e12) (e13)) = (e12))) -> False).
% 55.08/55.21 do 0 intro. intros zenon_H21f zenon_H2b9 zenon_H13 zenon_H2b7 zenon_H15 zenon_H2e7 zenon_H2ad zenon_H236 zenon_H29e zenon_H1cc zenon_H1be zenon_H1b1 zenon_H15f zenon_H14b zenon_H1a9 zenon_H154 zenon_H15a zenon_H473 zenon_H30e zenon_H375 zenon_H2c2 zenon_H32b zenon_H25 zenon_H322 zenon_H2e6 zenon_H293 zenon_H292 zenon_H3b zenon_H461 zenon_H3f zenon_H44f zenon_H3c7 zenon_H270 zenon_H505 zenon_H2c0 zenon_H1e8 zenon_H1f7 zenon_H474 zenon_H1d8 zenon_H1a3 zenon_H206 zenon_H19d zenon_H360 zenon_H2f8 zenon_H1fd zenon_H18a zenon_H301 zenon_H316 zenon_H186 zenon_H204 zenon_H21a zenon_H23b zenon_H17 zenon_H32e zenon_H172 zenon_H179 zenon_H155 zenon_H180 zenon_H1d1 zenon_H27d.
% 55.08/55.21 apply (zenon_or_s _ _ zenon_H23b); [ zenon_intro zenon_H21b | zenon_intro zenon_H23d ].
% 55.08/55.21 exact (zenon_H21f zenon_H21b).
% 55.08/55.21 apply (zenon_or_s _ _ zenon_H23d); [ zenon_intro zenon_H202 | zenon_intro zenon_H23e ].
% 55.08/55.21 apply (zenon_L862_); trivial.
% 55.08/55.21 apply (zenon_or_s _ _ zenon_H23e); [ zenon_intro zenon_H1cb | zenon_intro zenon_H22f ].
% 55.08/55.21 exact (zenon_H1d1 zenon_H1cb).
% 55.08/55.21 exact (zenon_H27d zenon_H22f).
% 55.08/55.21 (* end of lemma zenon_L863_ *)
% 55.08/55.21 assert (zenon_L864_ : (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((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)) = (e13)) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (~((h2 (op1 (e12) (e13))) = (op2 (h2 (e12)) (h2 (e13))))) -> ((h2 (e11)) = (e21)) -> ((op2 (e22) (e23)) = (e21)) -> ((h2 (e12)) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> ((e22) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> ((h2 (e13)) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((e23) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((op1 (e11) (op1 (e11) (e10))) = (e10)) -> ((op1 (e12) (e10)) = (e10)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> ((op1 (e11) (op1 (e11) (e12))) = (e12)) -> (~((op1 (e11) (e11)) = (e11))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e12))\/((op1 (e11) (e10)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e10)) = (e12))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> ((op1 (e11) (e11)) = (e12)) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e12) (e13)) = (e12))) -> (~((op1 (e12) (e12)) = (e12))) -> (~((e12) = (e13))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> ((e12) = (op1 (op1 (op1 (e11) (e11)) (op1 (e11) (e11))) (op1 (e11) (e11)))) -> ((e10) = (op1 (e11) (e11))) -> ((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> ((op1 (e11) (op1 (e11) (e13))) = (e13)) -> ((op1 (e11) (e13)) = (e11)) -> False).
% 55.08/55.21 do 0 intro. intros zenon_H180 zenon_H179 zenon_H172 zenon_H32e zenon_H204 zenon_H186 zenon_H316 zenon_H301 zenon_H1fd zenon_H2f8 zenon_H360 zenon_H19d zenon_H206 zenon_H1a3 zenon_H1d8 zenon_H474 zenon_H1f7 zenon_H1e8 zenon_H2c0 zenon_H505 zenon_H270 zenon_H3c7 zenon_H44f zenon_H3f zenon_H461 zenon_H3b zenon_H292 zenon_H293 zenon_H2e6 zenon_H322 zenon_H25 zenon_H32b zenon_H2c2 zenon_H375 zenon_H473 zenon_H15a zenon_H154 zenon_H1a9 zenon_H14b zenon_H15f zenon_H1b1 zenon_H1be zenon_H1cc zenon_H2ad zenon_H2e7 zenon_H2b9 zenon_H21f zenon_H358 zenon_H1b8 zenon_H313 zenon_H17 zenon_H30e zenon_H27d zenon_H1d1 zenon_H236 zenon_H21a zenon_H155 zenon_H13 zenon_H15 zenon_H23b zenon_H18a zenon_H29e zenon_H214.
% 55.08/55.21 apply (zenon_or_s _ _ zenon_H2c2); [ zenon_intro zenon_H159 | zenon_intro zenon_H2c3 ].
% 55.08/55.21 apply (zenon_L64_); trivial.
% 55.08/55.21 apply (zenon_or_s _ _ zenon_H2c3); [ zenon_intro zenon_H2b7 | zenon_intro zenon_H2c4 ].
% 55.08/55.21 apply (zenon_L863_); trivial.
% 55.08/55.21 apply (zenon_or_s _ _ zenon_H2c4); [ zenon_intro zenon_H1f3 | zenon_intro zenon_H234 ].
% 55.08/55.21 apply (zenon_L289_); trivial.
% 55.08/55.21 apply (zenon_L501_); trivial.
% 55.08/55.21 (* end of lemma zenon_L864_ *)
% 55.08/55.21 assert (zenon_L865_ : (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> ((op1 (e11) (op1 (e11) (e13))) = (e13)) -> ((op1 (e11) (e13)) = (e12)) -> ((op1 (e11) (e13)) = (e13)) -> False).
% 55.08/55.21 do 0 intro. intros zenon_H1ed zenon_H29e zenon_H1ec zenon_H234.
% 55.08/55.21 cut (((op1 (e11) (op1 (e11) (e13))) = (e13)) = ((op1 (e11) (e12)) = (op1 (e11) (e13)))).
% 55.08/55.21 intro zenon_D_pnotp.
% 55.08/55.21 apply zenon_H1ed.
% 55.08/55.21 rewrite <- zenon_D_pnotp.
% 55.08/55.21 exact zenon_H29e.
% 55.08/55.21 cut (((e13) = (op1 (e11) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H2bf].
% 55.08/55.21 cut (((op1 (e11) (op1 (e11) (e13))) = (op1 (e11) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H2b5].
% 55.08/55.21 congruence.
% 55.08/55.21 elim (classic ((op1 (e11) (e12)) = (op1 (e11) (e12)))); [ zenon_intro zenon_H1aa | zenon_intro zenon_H1ab ].
% 55.08/55.21 cut (((op1 (e11) (e12)) = (op1 (e11) (e12))) = ((op1 (e11) (op1 (e11) (e13))) = (op1 (e11) (e12)))).
% 55.08/55.21 intro zenon_D_pnotp.
% 55.08/55.21 apply zenon_H2b5.
% 55.08/55.21 rewrite <- zenon_D_pnotp.
% 55.08/55.21 exact zenon_H1aa.
% 55.08/55.21 cut (((op1 (e11) (e12)) = (op1 (e11) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H1ab].
% 55.08/55.21 cut (((op1 (e11) (e12)) = (op1 (e11) (op1 (e11) (e13))))); [idtac | apply NNPP; zenon_intro zenon_H2b4].
% 55.08/55.21 congruence.
% 55.08/55.21 apply (zenon_L158_); trivial.
% 55.08/55.21 apply zenon_H1ab. apply refl_equal.
% 55.08/55.21 apply zenon_H1ab. apply refl_equal.
% 55.08/55.21 apply zenon_H2bf. apply sym_equal. exact zenon_H234.
% 55.08/55.21 (* end of lemma zenon_L865_ *)
% 55.08/55.21 assert (zenon_L866_ : (~((op1 (e12) (e13)) = (e12))) -> (~((op1 (e12) (e12)) = (e12))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> ((e12) = (op1 (op1 (op1 (e11) (e11)) (op1 (e11) (e11))) (op1 (e11) (e11)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((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)) = (e13)) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (~((h2 (op1 (e12) (e13))) = (op2 (h2 (e12)) (h2 (e13))))) -> ((h2 (e11)) = (e21)) -> ((op2 (e22) (e23)) = (e21)) -> ((h2 (e12)) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> ((e22) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> ((h2 (e13)) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((e23) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((op1 (e11) (op1 (e11) (e10))) = (e10)) -> ((op1 (e12) (e10)) = (e10)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> ((op1 (e11) (op1 (e11) (e12))) = (e12)) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e11)) = (e11))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e12))\/((op1 (e11) (e10)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((e12) = (e13))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e10)) = (e12))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> ((e10) = (op1 (e11) (e11))) -> ((op1 (e11) (e11)) = (e12)) -> ((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> ((op1 (e11) (op1 (e11) (e13))) = (e13)) -> ((op1 (e11) (e13)) = (e12)) -> False).
% 55.08/55.21 do 0 intro. intros zenon_H27d zenon_H1d1 zenon_H180 zenon_H155 zenon_H179 zenon_H172 zenon_H32e zenon_H17 zenon_H23b zenon_H21a zenon_H204 zenon_H186 zenon_H316 zenon_H301 zenon_H18a zenon_H1fd zenon_H2f8 zenon_H360 zenon_H19d zenon_H206 zenon_H1a3 zenon_H1d8 zenon_H474 zenon_H1f7 zenon_H1e8 zenon_H2c0 zenon_H505 zenon_H270 zenon_H3c7 zenon_H44f zenon_H3f zenon_H461 zenon_H3b zenon_H292 zenon_H293 zenon_H2e6 zenon_H322 zenon_H25 zenon_H32b zenon_H2c2 zenon_H375 zenon_H30e zenon_H473 zenon_H15a zenon_H154 zenon_H1a9 zenon_H14b zenon_H15f zenon_H1b1 zenon_H1be zenon_H1cc zenon_H236 zenon_H2ad zenon_H2e7 zenon_H2b9 zenon_H21f zenon_H358 zenon_H13 zenon_H1b8 zenon_H15 zenon_H1ed zenon_H29e zenon_H1ec.
% 55.08/55.21 apply (zenon_or_s _ _ zenon_H2c2); [ zenon_intro zenon_H159 | zenon_intro zenon_H2c3 ].
% 55.08/55.21 apply (zenon_L64_); trivial.
% 55.08/55.21 apply (zenon_or_s _ _ zenon_H2c3); [ zenon_intro zenon_H2b7 | zenon_intro zenon_H2c4 ].
% 55.08/55.21 apply (zenon_L863_); trivial.
% 55.08/55.21 apply (zenon_or_s _ _ zenon_H2c4); [ zenon_intro zenon_H1f3 | zenon_intro zenon_H234 ].
% 55.08/55.21 apply (zenon_L289_); trivial.
% 55.08/55.21 apply (zenon_L865_); trivial.
% 55.08/55.21 (* end of lemma zenon_L866_ *)
% 55.08/55.21 assert (zenon_L867_ : (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e12) (e10)) = (e12))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e12))\/((op1 (e11) (e10)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (~((op1 (e11) (e11)) = (e11))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> ((op1 (e11) (op1 (e11) (e12))) = (e12)) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> ((op1 (e12) (e10)) = (e10)) -> ((op1 (e11) (op1 (e11) (e10))) = (e10)) -> ((e23) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((h2 (e13)) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((e22) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> ((h2 (e12)) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> ((op2 (e22) (e23)) = (e21)) -> ((h2 (e11)) = (e21)) -> (~((h2 (op1 (e12) (e13))) = (op2 (h2 (e12)) (h2 (e13))))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e10) (e10)) = (e13)) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e11)) = (e12))\/((op1 (e10) (e11)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e12)) = (e12))) -> (~((op1 (e12) (e13)) = (e12))) -> ((op1 (e11) (e13)) = (e11)) -> ((op1 (e11) (op1 (e11) (e13))) = (e13)) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((e12) = (e13))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> ((op1 (e11) (e13)) = (e12)) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> ((e12) = (op1 (op1 (op1 (e11) (e11)) (op1 (e11) (e11))) (op1 (e11) (e11)))) -> ((e10) = (op1 (e11) (e11))) -> ((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> False).
% 55.08/55.21 do 0 intro. intros zenon_H209 zenon_H1ed zenon_H358 zenon_H21f zenon_H1be zenon_H1b1 zenon_H15f zenon_H14b zenon_H1a9 zenon_H154 zenon_H15a zenon_H473 zenon_H30e zenon_H375 zenon_H2c2 zenon_H32b zenon_H25 zenon_H322 zenon_H2e6 zenon_H293 zenon_H292 zenon_H3b zenon_H461 zenon_H3f zenon_H44f zenon_H3c7 zenon_H270 zenon_H505 zenon_H2c0 zenon_H1e8 zenon_H1f7 zenon_H474 zenon_H1d8 zenon_H1a3 zenon_H206 zenon_H19d zenon_H360 zenon_H2f8 zenon_H1fd zenon_H301 zenon_H316 zenon_H186 zenon_H204 zenon_H21a zenon_H23b zenon_H32e zenon_H179 zenon_H180 zenon_H1d1 zenon_H27d zenon_H214 zenon_H29e zenon_H18a zenon_H236 zenon_H2e7 zenon_H2ad zenon_H1ec zenon_H1cc zenon_H2b9 zenon_H17 zenon_H313 zenon_H155 zenon_H13 zenon_H15 zenon_H172.
% 55.08/55.21 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H1dc | zenon_intro zenon_H20a ].
% 55.08/55.21 apply (zenon_L486_); trivial.
% 55.08/55.21 apply (zenon_or_s _ _ zenon_H20a); [ zenon_intro zenon_H1b8 | zenon_intro zenon_H20b ].
% 55.08/55.21 apply (zenon_L866_); trivial.
% 55.08/55.21 apply (zenon_or_s _ _ zenon_H20b); [ zenon_intro zenon_H202 | zenon_intro zenon_H171 ].
% 55.08/55.21 apply (zenon_L508_); trivial.
% 55.08/55.21 apply (zenon_L69_); trivial.
% 55.08/55.21 (* end of lemma zenon_L867_ *)
% 55.08/55.21 assert (zenon_L868_ : (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> ((e12) = (op1 (op1 (op1 (e11) (e11)) (op1 (e11) (e11))) (op1 (e11) (e11)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((e12) = (e13))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> ((op1 (e11) (op1 (e11) (e13))) = (e13)) -> (~((op1 (e12) (e13)) = (e12))) -> (~((op1 (e12) (e12)) = (e12))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e11)) = (e12))\/((op1 (e10) (e11)) = (e13))))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (~((h2 (op1 (e12) (e13))) = (op2 (h2 (e12)) (h2 (e13))))) -> ((h2 (e11)) = (e21)) -> ((op2 (e22) (e23)) = (e21)) -> ((h2 (e12)) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> ((e22) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> ((h2 (e13)) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((e23) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((op1 (e11) (op1 (e11) (e10))) = (e10)) -> ((op1 (e12) (e10)) = (e10)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> ((op1 (e11) (op1 (e11) (e12))) = (e12)) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e11)) = (e11))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e12))\/((op1 (e11) (e10)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e12) (e10)) = (e12))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> (~((op1 (e12) (e12)) = (e11))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> ((op1 (e11) (op1 (e11) (e11))) = (e11)) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> ((op1 (e10) (e12)) = (e10)) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> ((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) -> ((e10) = (op1 (e11) (e11))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> False).
% 55.08/55.21 do 0 intro. intros zenon_H1a0 zenon_H172 zenon_H155 zenon_H313 zenon_H2b9 zenon_H1cc zenon_H2ad zenon_H2e7 zenon_H236 zenon_H18a zenon_H29e zenon_H27d zenon_H1d1 zenon_H180 zenon_H179 zenon_H32e zenon_H23b zenon_H21a zenon_H204 zenon_H186 zenon_H316 zenon_H301 zenon_H1fd zenon_H2f8 zenon_H360 zenon_H19d zenon_H206 zenon_H1d8 zenon_H474 zenon_H1f7 zenon_H1e8 zenon_H2c0 zenon_H505 zenon_H270 zenon_H3c7 zenon_H44f zenon_H3f zenon_H461 zenon_H3b zenon_H292 zenon_H293 zenon_H2e6 zenon_H322 zenon_H32b zenon_H2c2 zenon_H375 zenon_H30e zenon_H473 zenon_H15a zenon_H154 zenon_H1a9 zenon_H14b zenon_H15f zenon_H1b1 zenon_H1be zenon_H21f zenon_H358 zenon_H1ed zenon_H209 zenon_H2b1 zenon_H23f zenon_H2a3 zenon_H1da zenon_H2a6 zenon_H2a5 zenon_H1fa zenon_H1de zenon_H18f zenon_H17 zenon_H1e zenon_H15 zenon_H13 zenon_H25.
% 55.08/55.21 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_H1a3 | zenon_intro zenon_H1a2 ].
% 55.08/55.21 apply (zenon_or_s _ _ zenon_H474); [ zenon_intro zenon_H163 | zenon_intro zenon_H475 ].
% 55.08/55.21 apply (zenon_L858_); trivial.
% 55.08/55.21 apply (zenon_or_s _ _ zenon_H475); [ zenon_intro zenon_H1a7 | zenon_intro zenon_H476 ].
% 55.08/55.21 exact (zenon_H473 zenon_H1a7).
% 55.08/55.21 apply (zenon_or_s _ _ zenon_H476); [ zenon_intro zenon_H1a8 | zenon_intro zenon_H214 ].
% 55.08/55.21 apply (zenon_L82_); trivial.
% 55.08/55.21 apply (zenon_or_s _ _ zenon_H1fa); [ zenon_intro zenon_H156 | zenon_intro zenon_H1fb ].
% 55.08/55.21 apply (zenon_L63_); trivial.
% 55.08/55.21 apply (zenon_or_s _ _ zenon_H1fb); [ zenon_intro zenon_H1b8 | zenon_intro zenon_H1fc ].
% 55.08/55.21 apply (zenon_L864_); trivial.
% 55.08/55.21 apply (zenon_or_s _ _ zenon_H1fc); [ zenon_intro zenon_H1c6 | zenon_intro zenon_H1ec ].
% 55.08/55.21 apply (zenon_L506_); trivial.
% 55.08/55.21 apply (zenon_L867_); trivial.
% 55.08/55.21 apply (zenon_or_s _ _ zenon_H1a2); [ zenon_intro zenon_H16 | zenon_intro zenon_H1a4 ].
% 55.08/55.21 apply (zenon_L2_); trivial.
% 55.08/55.21 apply (zenon_or_s _ _ zenon_H1a4); [ zenon_intro zenon_H1d | zenon_intro zenon_H24 ].
% 55.08/55.21 apply (zenon_L3_); trivial.
% 55.08/55.21 apply (zenon_L4_); trivial.
% 55.08/55.21 (* end of lemma zenon_L868_ *)
% 55.08/55.21 assert (zenon_L869_ : ((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13)))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> ((op2 (e21) (op2 (e21) (e21))) = (e21)) -> ((e20) = (op2 (e21) (e21))) -> (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> (~((op2 (e22) (e23)) = (e22))) -> (~((op2 (e22) (e22)) = (e22))) -> (~((e21) = (e22))) -> ((e23) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((e22) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e22) (e22)) = (e21))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> ((op1 (e10) (e12)) = (e10)) -> (~((op1 (e12) (e12)) = (e11))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (~((op1 (e12) (e12)) = (e12))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((e12) = (e13))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e11)) = (e12))\/((op1 (e10) (e11)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e12))\/((op1 (e11) (e10)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> ((op1 (e11) (op1 (e11) (e12))) = (e12)) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> ((op1 (e12) (e10)) = (e10)) -> ((op1 (e11) (op1 (e11) (e10))) = (e10)) -> (~((h2 (op1 (e12) (e13))) = (op2 (h2 (e12)) (h2 (e13))))) -> ((h2 (e11)) = (e21)) -> ((h2 (e13)) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((h2 (e12)) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> ((op1 (e11) (op1 (e11) (e13))) = (e13)) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> ((e10) = (op1 (e11) (e11))) -> ((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) -> ((e12) = (op1 (op1 (op1 (e11) (e11)) (op1 (e11) (e11))) (op1 (e11) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e11) (e11)) = (e11))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> ((op1 (e11) (op1 (e11) (e11))) = (e11)) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e12) (e10)) = (e12))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e22) (e23)) = (e21))))) -> False).
% 55.08/55.21 do 0 intro. intros zenon_H22c zenon_H498 zenon_H499 zenon_H33 zenon_Hf1 zenon_H281 zenon_Hd7 zenon_H27e zenon_H3b zenon_H3f zenon_Hb0 zenon_H101 zenon_H1a0 zenon_H1e zenon_H1fa zenon_H1de zenon_H18f zenon_H23f zenon_H1da zenon_H1ed zenon_H209 zenon_H15a zenon_H1d1 zenon_H2ad zenon_H236 zenon_H186 zenon_H179 zenon_H206 zenon_H17 zenon_H204 zenon_H1e8 zenon_H15f zenon_H1a9 zenon_H14b zenon_H2c2 zenon_H375 zenon_H30e zenon_H23b zenon_H2b9 zenon_H1cc zenon_H32b zenon_H301 zenon_H2f8 zenon_H172 zenon_H1fd zenon_H18a zenon_H360 zenon_H316 zenon_H2e6 zenon_H293 zenon_H292 zenon_H505 zenon_H270 zenon_H461 zenon_H44f zenon_H2c0 zenon_H29e zenon_H322 zenon_H25 zenon_H2e7 zenon_H1f7 zenon_H19d zenon_H180 zenon_H32e zenon_H21a zenon_H358 zenon_H13 zenon_H15 zenon_H155 zenon_H154 zenon_H473 zenon_H2a3 zenon_H2a5 zenon_H2a6 zenon_H2b1 zenon_H1be zenon_H1d8 zenon_H474 zenon_H1b1 zenon_H21f zenon_H313 zenon_H50d.
% 55.08/55.21 apply (zenon_or_s _ _ zenon_H22c); [ zenon_intro zenon_H27d | zenon_intro zenon_H29d ].
% 55.08/55.21 apply (zenon_or_s _ _ zenon_H50d); [ zenon_intro zenon_H49a | zenon_intro zenon_H50e ].
% 55.08/55.21 apply (zenon_L555_); trivial.
% 55.08/55.21 apply (zenon_or_s _ _ zenon_H50e); [ zenon_intro zenon_H27f | zenon_intro zenon_H50f ].
% 55.08/55.21 apply (zenon_L134_); trivial.
% 55.08/55.21 apply (zenon_or_s _ _ zenon_H50f); [ zenon_intro zenon_H104 | zenon_intro zenon_H3c7 ].
% 55.08/55.21 exact (zenon_H101 zenon_H104).
% 55.08/55.21 apply (zenon_L868_); trivial.
% 55.08/55.21 apply (zenon_L144_); trivial.
% 55.08/55.21 (* end of lemma zenon_L869_ *)
% 55.08/55.21 assert (zenon_L870_ : (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> ((op1 (e11) (e11)) = (e12)) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> ((op1 (e11) (op1 (e11) (e13))) = (e13)) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> ((op1 (e12) (e11)) = (e12)) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e12))\/((op1 (e11) (e10)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((h2 (op1 (e12) (e13))) = (op2 (h2 (e12)) (h2 (e13))))) -> ((h2 (e11)) = (e21)) -> ((op2 (e22) (e23)) = (e21)) -> ((h2 (e12)) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> ((e22) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> ((h2 (e13)) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((e23) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((op1 (e11) (op1 (e11) (e10))) = (e10)) -> ((op1 (e12) (e10)) = (e10)) -> ((op1 (e11) (e10)) = (e11)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((e12) = (e13))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> ((op1 (e11) (op1 (e11) (e12))) = (e12)) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e11)) = (e12))\/((op1 (e10) (e11)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e13)) = (e12))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> ((e12) = (op1 (op1 (op1 (e11) (e11)) (op1 (e11) (e11))) (op1 (e11) (e11)))) -> ((e10) = (op1 (e11) (e11))) -> ((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> False).
% 55.08/55.21 do 0 intro. intros zenon_H358 zenon_H1b8 zenon_H186 zenon_H29e zenon_H2c0 zenon_H32e zenon_H17 zenon_H204 zenon_H202 zenon_H1f7 zenon_H1e8 zenon_H154 zenon_H1a9 zenon_H14b zenon_H15f zenon_H2b9 zenon_H505 zenon_H270 zenon_H3c7 zenon_H44f zenon_H3f zenon_H461 zenon_H3b zenon_H292 zenon_H293 zenon_H163 zenon_H2e6 zenon_H322 zenon_H2e7 zenon_H2ad zenon_H236 zenon_H21a zenon_H23b zenon_H360 zenon_H2f8 zenon_H1fd zenon_H18a zenon_H301 zenon_H316 zenon_H25 zenon_H32b zenon_H15a zenon_H2c2 zenon_H375 zenon_H30e zenon_H19d zenon_H206 zenon_H1cc zenon_H27d zenon_H172 zenon_H179 zenon_H155 zenon_H13 zenon_H15 zenon_H180.
% 55.08/55.21 apply (zenon_or_s _ _ zenon_H2c2); [ zenon_intro zenon_H159 | zenon_intro zenon_H2c3 ].
% 55.08/55.21 apply (zenon_L64_); trivial.
% 55.08/55.21 apply (zenon_or_s _ _ zenon_H2c3); [ zenon_intro zenon_H2b7 | zenon_intro zenon_H2c4 ].
% 55.08/55.21 apply (zenon_L851_); trivial.
% 55.08/55.21 apply (zenon_or_s _ _ zenon_H2c4); [ zenon_intro zenon_H1f3 | zenon_intro zenon_H234 ].
% 55.08/55.21 apply (zenon_L289_); trivial.
% 55.08/55.21 apply (zenon_L854_); trivial.
% 55.08/55.21 (* end of lemma zenon_L870_ *)
% 55.08/55.21 assert (zenon_L871_ : (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e12) (e13)) = (e12))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e11)) = (e12))\/((op1 (e10) (e11)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> ((op1 (e11) (op1 (e11) (e12))) = (e12)) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (~((e12) = (e13))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> ((e23) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((h2 (e13)) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((e22) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> ((h2 (e12)) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> ((op2 (e22) (e23)) = (e21)) -> ((h2 (e11)) = (e21)) -> (~((h2 (op1 (e12) (e13))) = (op2 (h2 (e12)) (h2 (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e12))\/((op1 (e11) (e10)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> ((op1 (e12) (e11)) = (e12)) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> ((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) -> ((op1 (e13) (e10)) = (e12)) -> ((op1 (e10) (e12)) = (e12)) -> ((e12) = (op1 (op1 (op1 (e11) (e11)) (op1 (e11) (e11))) (op1 (e11) (e11)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> ((op1 (e11) (op1 (e11) (e10))) = (e10)) -> ((op1 (e12) (e10)) = (e10)) -> ((op1 (e11) (e10)) = (e11)) -> ((op1 (e10) (e12)) = (e10)) -> ((e10) = (op1 (e11) (e11))) -> (~((op1 (e12) (e12)) = (e11))) -> (~((op1 (e12) (e12)) = (e12))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> ((op1 (e11) (op1 (e11) (e13))) = (e13)) -> False).
% 55.08/55.21 do 0 intro. intros zenon_H1fa zenon_H180 zenon_H179 zenon_H172 zenon_H27d zenon_H206 zenon_H19d zenon_H30e zenon_H375 zenon_H2c2 zenon_H15a zenon_H32b zenon_H25 zenon_H316 zenon_H301 zenon_H18a zenon_H1fd zenon_H2f8 zenon_H360 zenon_H23b zenon_H21a zenon_H236 zenon_H2ad zenon_H2e7 zenon_H322 zenon_H2e6 zenon_H3b zenon_H461 zenon_H3f zenon_H44f zenon_H3c7 zenon_H270 zenon_H505 zenon_H2b9 zenon_H15f zenon_H14b zenon_H1a9 zenon_H154 zenon_H1e8 zenon_H1f7 zenon_H202 zenon_H204 zenon_H17 zenon_H32e zenon_H2c0 zenon_H186 zenon_H15 zenon_H16b zenon_H4bf zenon_H155 zenon_H358 zenon_H1da zenon_H1de zenon_H292 zenon_H293 zenon_H163 zenon_H18f zenon_H13 zenon_H23f zenon_H1d1 zenon_H1cc zenon_H29e.
% 55.08/55.21 apply (zenon_or_s _ _ zenon_H1fa); [ zenon_intro zenon_H156 | zenon_intro zenon_H1fb ].
% 55.08/55.21 apply (zenon_L63_); trivial.
% 55.08/55.21 apply (zenon_or_s _ _ zenon_H1fb); [ zenon_intro zenon_H1b8 | zenon_intro zenon_H1fc ].
% 55.08/55.21 apply (zenon_L870_); trivial.
% 55.08/55.21 apply (zenon_or_s _ _ zenon_H1fc); [ zenon_intro zenon_H1c6 | zenon_intro zenon_H1ec ].
% 55.08/55.21 apply (zenon_L639_); trivial.
% 55.08/55.22 apply (zenon_L500_); trivial.
% 55.08/55.22 (* end of lemma zenon_L871_ *)
% 55.08/55.22 assert (zenon_L872_ : (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e12)) = (e12))) -> (~((op1 (e12) (e12)) = (e11))) -> ((op1 (e10) (e12)) = (e10)) -> ((op1 (e12) (e10)) = (e10)) -> ((op1 (e11) (op1 (e11) (e10))) = (e10)) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> ((op1 (e10) (e12)) = (e12)) -> ((op1 (e13) (e10)) = (e12)) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> ((op1 (e12) (e11)) = (e12)) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((h2 (op1 (e12) (e13))) = (op2 (h2 (e12)) (h2 (e13))))) -> ((h2 (e11)) = (e21)) -> ((op2 (e22) (e23)) = (e21)) -> ((h2 (e12)) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> ((e22) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> ((h2 (e13)) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((e23) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((e12) = (e13))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> ((op1 (e11) (op1 (e11) (e12))) = (e12)) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e11)) = (e12))\/((op1 (e10) (e11)) = (e13))))) -> (~((op1 (e12) (e13)) = (e12))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e11) (e11)) = (e11))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> ((e10) = (op1 (e11) (e11))) -> ((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> ((e12) = (op1 (op1 (op1 (e11) (e11)) (op1 (e11) (e11))) (op1 (e11) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e12))\/((op1 (e11) (e10)) = (e13))))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> ((op1 (e11) (op1 (e11) (e13))) = (e13)) -> ((op1 (e13) (e11)) = (e13)) -> False).
% 55.08/55.22 do 0 intro. intros zenon_H474 zenon_H1cc zenon_H1d1 zenon_H23f zenon_H18f zenon_H293 zenon_H292 zenon_H1de zenon_H1da zenon_H358 zenon_H4bf zenon_H16b zenon_H186 zenon_H2c0 zenon_H32e zenon_H17 zenon_H204 zenon_H202 zenon_H1f7 zenon_H1e8 zenon_H2b9 zenon_H505 zenon_H270 zenon_H3c7 zenon_H44f zenon_H3f zenon_H461 zenon_H3b zenon_H2e6 zenon_H322 zenon_H2e7 zenon_H2ad zenon_H236 zenon_H21a zenon_H23b zenon_H360 zenon_H2f8 zenon_H1fd zenon_H301 zenon_H316 zenon_H25 zenon_H32b zenon_H2c2 zenon_H375 zenon_H30e zenon_H19d zenon_H206 zenon_H27d zenon_H172 zenon_H179 zenon_H180 zenon_H1fa zenon_H473 zenon_H15a zenon_H13 zenon_H15 zenon_H154 zenon_H155 zenon_H1a9 zenon_H14b zenon_H15f zenon_H18a zenon_H29e zenon_H1c3.
% 55.08/55.22 apply (zenon_or_s _ _ zenon_H474); [ zenon_intro zenon_H163 | zenon_intro zenon_H475 ].
% 55.08/55.22 apply (zenon_L871_); trivial.
% 55.08/55.22 apply (zenon_or_s _ _ zenon_H475); [ zenon_intro zenon_H1a7 | zenon_intro zenon_H476 ].
% 55.08/55.22 exact (zenon_H473 zenon_H1a7).
% 55.08/55.22 apply (zenon_or_s _ _ zenon_H476); [ zenon_intro zenon_H1a8 | zenon_intro zenon_H214 ].
% 55.08/55.22 apply (zenon_L82_); trivial.
% 55.08/55.22 apply (zenon_L149_); trivial.
% 55.08/55.22 (* end of lemma zenon_L872_ *)
% 55.08/55.22 assert (zenon_L873_ : (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e12))\/((op1 (e11) (e10)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (~((op1 (e11) (e11)) = (e11))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> ((op1 (e11) (op1 (e11) (e12))) = (e12)) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((e12) = (e13))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> ((e23) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((h2 (e13)) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((e22) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> ((h2 (e12)) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> ((op2 (e22) (e23)) = (e21)) -> ((h2 (e11)) = (e21)) -> (~((h2 (op1 (e12) (e13))) = (op2 (h2 (e12)) (h2 (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> ((op1 (e12) (e11)) = (e12)) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> ((op1 (e13) (e10)) = (e12)) -> ((op1 (e10) (e12)) = (e12)) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> ((op1 (e11) (op1 (e11) (e10))) = (e10)) -> ((op1 (e12) (e10)) = (e10)) -> ((op1 (e10) (e12)) = (e10)) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (~((op1 (e12) (e12)) = (e10))) -> (~((op1 (e12) (e12)) = (e11))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e11)) = (e12))\/((op1 (e10) (e11)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> ((op1 (e11) (op1 (e11) (e13))) = (e13)) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> ((op1 (e12) (e12)) = (e13)) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e12) (e13)) = (e12))) -> (~((op1 (e12) (e12)) = (e12))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> ((e12) = (op1 (op1 (op1 (e11) (e11)) (op1 (e11) (e11))) (op1 (e11) (e11)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> ((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) -> ((e10) = (op1 (e11) (e11))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> False).
% 55.08/55.22 do 0 intro. intros zenon_H1be zenon_H1b1 zenon_H15f zenon_H14b zenon_H1a9 zenon_H154 zenon_H15a zenon_H473 zenon_H1fa zenon_H30e zenon_H375 zenon_H2c2 zenon_H32b zenon_H236 zenon_H2ad zenon_H2e7 zenon_H322 zenon_H2e6 zenon_H3b zenon_H461 zenon_H3f zenon_H44f zenon_H3c7 zenon_H270 zenon_H505 zenon_H2b9 zenon_H1e8 zenon_H1f7 zenon_H202 zenon_H32e zenon_H2c0 zenon_H16b zenon_H4bf zenon_H358 zenon_H1de zenon_H292 zenon_H293 zenon_H18f zenon_H474 zenon_H25 zenon_H1e zenon_H1da zenon_H1db zenon_H23f zenon_H1d8 zenon_H1a0 zenon_H206 zenon_H19d zenon_H29e zenon_H360 zenon_H1cc zenon_H1d3 zenon_H2f8 zenon_H1fd zenon_H18a zenon_H301 zenon_H316 zenon_H27d zenon_H1d1 zenon_H186 zenon_H204 zenon_H172 zenon_H179 zenon_H155 zenon_H180 zenon_H21a zenon_H23b zenon_H15 zenon_H13 zenon_H17.
% 55.08/55.22 apply (zenon_or_s _ _ zenon_H1be); [ zenon_intro zenon_H1b0 | zenon_intro zenon_H1c1 ].
% 55.08/55.22 apply (zenon_L84_); trivial.
% 55.08/55.22 apply (zenon_or_s _ _ zenon_H1c1); [ zenon_intro zenon_H1c3 | zenon_intro zenon_H1c2 ].
% 55.08/55.22 apply (zenon_L872_); trivial.
% 55.08/55.22 apply (zenon_or_s _ _ zenon_H1c2); [ zenon_intro zenon_H1ba | zenon_intro zenon_H1c4 ].
% 55.08/55.22 apply (zenon_L121_); trivial.
% 55.08/55.22 apply (zenon_L487_); trivial.
% 55.08/55.22 (* end of lemma zenon_L873_ *)
% 55.08/55.22 assert (zenon_L874_ : (((op1 (e10) (e12)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e12)) = (e12))))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e12) (e12)) = (e10))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> ((op1 (e10) (e12)) = (e10)) -> ((op1 (e12) (e10)) = (e10)) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (~((h2 (op1 (e12) (e13))) = (op2 (h2 (e12)) (h2 (e13))))) -> ((h2 (e11)) = (e21)) -> ((op2 (e22) (e23)) = (e21)) -> ((h2 (e12)) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> ((e22) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> ((h2 (e13)) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((e23) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> ((op1 (e11) (op1 (e11) (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) (e11)) = (e11))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> ((op1 (e11) (e11)) = (e13)) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> ((op1 (e11) (e13)) = (e11)) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e12))\/((op1 (e11) (e10)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> ((op1 (e11) (op1 (e11) (e11))) = (e11)) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> ((op1 (e11) (op1 (e11) (e10))) = (e10)) -> (~((op1 (e12) (e12)) = (e11))) -> ((op1 (e10) (e10)) = (e13)) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e11)) = (e12))\/((op1 (e10) (e11)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> ((op1 (e11) (op1 (e11) (e13))) = (e13)) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e12) (e13)) = (e12))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> ((op1 (e12) (e11)) = (e12)) -> (~((e12) = (e13))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e12) (e12)) = (e12))) -> ((e12) = (op1 (op1 (op1 (e11) (e11)) (op1 (e11) (e11))) (op1 (e11) (e11)))) -> ((e10) = (op1 (e11) (e11))) -> ((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> False).
% 55.08/55.22 do 0 intro. intros zenon_H510 zenon_H1a0 zenon_H1db zenon_H1e zenon_H25 zenon_H474 zenon_H18f zenon_H293 zenon_H1de zenon_H358 zenon_H2c0 zenon_H32e zenon_H1f7 zenon_H1e8 zenon_H505 zenon_H270 zenon_H3c7 zenon_H44f zenon_H3f zenon_H461 zenon_H3b zenon_H2e6 zenon_H322 zenon_H32b zenon_H2c2 zenon_H375 zenon_H30e zenon_H1fa zenon_H473 zenon_H1a9 zenon_H2b9 zenon_H2b7 zenon_H1be zenon_H1b1 zenon_H214 zenon_H15f zenon_H14b zenon_H2ad zenon_H2a5 zenon_H2a6 zenon_H1da zenon_H2a3 zenon_H292 zenon_H23f zenon_H1a3 zenon_H1d8 zenon_H2b1 zenon_H154 zenon_H15a zenon_H206 zenon_H19d zenon_H29e zenon_H360 zenon_H1cc zenon_H2f8 zenon_H1fd zenon_H18a zenon_H301 zenon_H316 zenon_H27d zenon_H186 zenon_H204 zenon_H172 zenon_H180 zenon_H21a zenon_H23b zenon_H17 zenon_H202 zenon_H236 zenon_H2e7 zenon_H1d1 zenon_H155 zenon_H13 zenon_H15 zenon_H179.
% 55.08/55.22 apply (zenon_or_s _ _ zenon_H510); [ zenon_intro zenon_H4bf | zenon_intro zenon_H511 ].
% 55.08/55.22 apply (zenon_or_s _ _ zenon_H2e7); [ zenon_intro zenon_H2ac | zenon_intro zenon_H2e8 ].
% 55.08/55.22 apply (zenon_L154_); trivial.
% 55.08/55.22 apply (zenon_or_s _ _ zenon_H2e8); [ zenon_intro zenon_H2e3 | zenon_intro zenon_H2e9 ].
% 55.08/55.22 apply (zenon_L482_); trivial.
% 55.08/55.22 apply (zenon_or_s _ _ zenon_H2e9); [ zenon_intro zenon_H1d3 | zenon_intro zenon_H235 ].
% 55.08/55.22 apply (zenon_or_s _ _ zenon_H186); [ zenon_intro zenon_H16b | zenon_intro zenon_H187 ].
% 55.08/55.22 apply (zenon_L873_); trivial.
% 55.08/55.22 apply (zenon_or_s _ _ zenon_H187); [ zenon_intro zenon_H171 | zenon_intro zenon_H188 ].
% 55.08/55.22 apply (zenon_L69_); trivial.
% 55.08/55.22 apply (zenon_or_s _ _ zenon_H188); [ zenon_intro zenon_H178 | zenon_intro zenon_H17f ].
% 55.08/55.22 apply (zenon_L70_); trivial.
% 55.08/55.22 apply (zenon_L71_); trivial.
% 55.08/55.22 apply (zenon_L163_); trivial.
% 55.08/55.22 apply (zenon_or_s _ _ zenon_H511); [ zenon_intro zenon_H1c6 | zenon_intro zenon_H512 ].
% 55.08/55.22 apply (zenon_L504_); trivial.
% 55.08/55.22 apply (zenon_or_s _ _ zenon_H512); [ zenon_intro zenon_H1cb | zenon_intro zenon_H178 ].
% 55.08/55.22 exact (zenon_H1d1 zenon_H1cb).
% 55.08/55.22 apply (zenon_L70_); trivial.
% 55.08/55.22 (* end of lemma zenon_L874_ *)
% 55.08/55.22 assert (zenon_L875_ : (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (~((op1 (e12) (e12)) = (e10))) -> (~((op1 (e12) (e12)) = (e11))) -> (~((op1 (e12) (e12)) = (e12))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> ((op1 (e11) (op1 (e11) (e13))) = (e13)) -> ((op1 (e11) (e13)) = (e12)) -> False).
% 55.08/55.22 do 0 intro. intros zenon_H1da zenon_H1db zenon_H23f zenon_H1d1 zenon_H1cc zenon_H29e zenon_H1ec.
% 55.08/55.22 apply (zenon_or_s _ _ zenon_H1da); [ zenon_intro zenon_H1e0 | zenon_intro zenon_H1df ].
% 55.08/55.22 exact (zenon_H1db zenon_H1e0).
% 55.08/55.22 apply (zenon_or_s _ _ zenon_H1df); [ zenon_intro zenon_H1e2 | zenon_intro zenon_H1e1 ].
% 55.08/55.22 exact (zenon_H23f zenon_H1e2).
% 55.08/55.22 apply (zenon_or_s _ _ zenon_H1e1); [ zenon_intro zenon_H1cb | zenon_intro zenon_H1d3 ].
% 55.08/55.22 exact (zenon_H1d1 zenon_H1cb).
% 55.08/55.22 apply (zenon_L483_); trivial.
% 55.08/55.22 (* end of lemma zenon_L875_ *)
% 55.08/55.22 assert (zenon_L876_ : (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e11)) = (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))))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> ((e23) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((h2 (e13)) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((e22) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> ((h2 (e12)) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> ((op2 (e22) (e23)) = (e21)) -> ((h2 (e11)) = (e21)) -> (~((h2 (op1 (e12) (e13))) = (op2 (h2 (e12)) (h2 (e13))))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> ((op1 (e12) (e10)) = (e10)) -> ((op1 (e10) (e12)) = (e10)) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (((op1 (e10) (e12)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e12)) = (e12))))) -> ((op1 (e11) (e13)) = (e11)) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> ((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) -> ((e10) = (op1 (e11) (e11))) -> ((e12) = (op1 (op1 (op1 (e11) (e11)) (op1 (e11) (e11))) (op1 (e11) (e11)))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (~((e12) = (e13))) -> (~((op1 (e12) (e13)) = (e12))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> ((op1 (e11) (op1 (e11) (e12))) = (e12)) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e12))\/((op1 (e11) (e10)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> ((op1 (e11) (op1 (e11) (e11))) = (e11)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> ((op1 (e11) (op1 (e11) (e10))) = (e10)) -> ((op1 (e10) (e10)) = (e13)) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e11)) = (e12))\/((op1 (e10) (e11)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e11) (e11)) = (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 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (~((op1 (e12) (e12)) = (e10))) -> (~((op1 (e12) (e12)) = (e11))) -> (~((op1 (e12) (e12)) = (e12))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> ((op1 (e11) (op1 (e11) (e13))) = (e13)) -> False).
% 55.08/55.22 do 0 intro. intros zenon_H358 zenon_H1a9 zenon_H473 zenon_H1fa zenon_H32b zenon_H322 zenon_H2e6 zenon_H3b zenon_H461 zenon_H3f zenon_H44f zenon_H3c7 zenon_H270 zenon_H505 zenon_H1e8 zenon_H1f7 zenon_H2c0 zenon_H1de zenon_H293 zenon_H18f zenon_H474 zenon_H25 zenon_H1e zenon_H1a0 zenon_H510 zenon_H214 zenon_H18a zenon_H23b zenon_H15 zenon_H13 zenon_H155 zenon_H21a zenon_H236 zenon_H27d zenon_H30e zenon_H17 zenon_H313 zenon_H186 zenon_H1ed zenon_H375 zenon_H32e zenon_H172 zenon_H179 zenon_H180 zenon_H2b9 zenon_H1be zenon_H1b1 zenon_H15f zenon_H14b zenon_H2ad zenon_H2a5 zenon_H2a6 zenon_H2a3 zenon_H292 zenon_H1a3 zenon_H1d8 zenon_H2b1 zenon_H154 zenon_H15a zenon_H206 zenon_H19d zenon_H360 zenon_H2f8 zenon_H1fd zenon_H301 zenon_H316 zenon_H204 zenon_H2e7 zenon_H2c2 zenon_H1da zenon_H1db zenon_H23f zenon_H1d1 zenon_H1cc zenon_H29e.
% 55.08/55.22 apply (zenon_or_s _ _ zenon_H1fa); [ zenon_intro zenon_H156 | zenon_intro zenon_H1fb ].
% 55.08/55.22 apply (zenon_L63_); trivial.
% 55.08/55.22 apply (zenon_or_s _ _ zenon_H1fb); [ zenon_intro zenon_H1b8 | zenon_intro zenon_H1fc ].
% 55.08/55.22 apply (zenon_or_s _ _ zenon_H2c2); [ zenon_intro zenon_H159 | zenon_intro zenon_H2c3 ].
% 55.08/55.22 apply (zenon_L64_); trivial.
% 55.08/55.22 apply (zenon_or_s _ _ zenon_H2c3); [ zenon_intro zenon_H2b7 | zenon_intro zenon_H2c4 ].
% 55.08/55.22 apply (zenon_or_s _ _ zenon_H23b); [ zenon_intro zenon_H21b | zenon_intro zenon_H23d ].
% 55.08/55.22 apply (zenon_L109_); trivial.
% 55.08/55.22 apply (zenon_or_s _ _ zenon_H23d); [ zenon_intro zenon_H202 | zenon_intro zenon_H23e ].
% 55.08/55.22 apply (zenon_L874_); trivial.
% 55.08/55.22 apply (zenon_or_s _ _ zenon_H23e); [ zenon_intro zenon_H1cb | zenon_intro zenon_H22f ].
% 55.08/55.22 exact (zenon_H1d1 zenon_H1cb).
% 55.08/55.22 exact (zenon_H27d zenon_H22f).
% 55.08/55.22 apply (zenon_or_s _ _ zenon_H2c4); [ zenon_intro zenon_H1f3 | zenon_intro zenon_H234 ].
% 55.08/55.22 apply (zenon_L289_); trivial.
% 55.08/55.22 apply (zenon_L501_); trivial.
% 55.08/55.22 apply (zenon_or_s _ _ zenon_H1fc); [ zenon_intro zenon_H1c6 | zenon_intro zenon_H1ec ].
% 55.08/55.22 apply (zenon_L506_); trivial.
% 55.08/55.22 apply (zenon_L875_); trivial.
% 55.08/55.22 (* end of lemma zenon_L876_ *)
% 55.08/55.22 assert (zenon_L877_ : ((op1 (e11) (op1 (e11) (e13))) = (e13)) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e12)) = (e12))) -> (~((op1 (e12) (e12)) = (e11))) -> (~((op1 (e12) (e12)) = (e10))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((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)) = (op1 (e11) (e10)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e11) (op1 (e11) (e10))) = (e10)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> ((op1 (e11) (op1 (e11) (e11))) = (e11)) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e12))\/((op1 (e11) (e10)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> ((op1 (e11) (op1 (e11) (e12))) = (e12)) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e12) (e13)) = (e12))) -> (~((e12) = (e13))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> ((e12) = (op1 (op1 (op1 (e11) (e11)) (op1 (e11) (e11))) (op1 (e11) (e11)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e10) (e12)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e12)) = (e12))))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> ((op1 (e10) (e12)) = (e10)) -> ((op1 (e12) (e10)) = (e10)) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (~((h2 (op1 (e12) (e13))) = (op2 (h2 (e12)) (h2 (e13))))) -> ((h2 (e11)) = (e21)) -> ((op2 (e22) (e23)) = (e21)) -> ((h2 (e12)) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> ((e22) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> ((h2 (e13)) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((e23) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (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)) = (e11))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> ((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) -> ((e10) = (op1 (e11) (e11))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> False).
% 55.08/55.22 do 0 intro. intros zenon_H29e zenon_H1cc zenon_H1d1 zenon_H23f zenon_H1db zenon_H1da zenon_H2c2 zenon_H2e7 zenon_H204 zenon_H316 zenon_H301 zenon_H1fd zenon_H2f8 zenon_H360 zenon_H19d zenon_H206 zenon_H15a zenon_H154 zenon_H2b1 zenon_H1d8 zenon_H292 zenon_H2a3 zenon_H2a6 zenon_H2a5 zenon_H2ad zenon_H14b zenon_H15f zenon_H1b1 zenon_H1be zenon_H2b9 zenon_H180 zenon_H179 zenon_H172 zenon_H32e zenon_H375 zenon_H1ed zenon_H186 zenon_H313 zenon_H30e zenon_H27d zenon_H236 zenon_H21a zenon_H155 zenon_H23b zenon_H18a zenon_H510 zenon_H1a0 zenon_H474 zenon_H18f zenon_H293 zenon_H1de zenon_H2c0 zenon_H1f7 zenon_H1e8 zenon_H505 zenon_H270 zenon_H3c7 zenon_H44f zenon_H3f zenon_H461 zenon_H3b zenon_H2e6 zenon_H322 zenon_H32b zenon_H1fa zenon_H473 zenon_H1a9 zenon_H358 zenon_H209 zenon_H17 zenon_H1e zenon_H15 zenon_H13 zenon_H25.
% 55.08/55.22 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_H1a3 | zenon_intro zenon_H1a2 ].
% 55.08/55.22 apply (zenon_or_s _ _ zenon_H474); [ zenon_intro zenon_H163 | zenon_intro zenon_H475 ].
% 55.08/55.22 apply (zenon_L858_); trivial.
% 55.08/55.22 apply (zenon_or_s _ _ zenon_H475); [ zenon_intro zenon_H1a7 | zenon_intro zenon_H476 ].
% 55.08/55.22 exact (zenon_H473 zenon_H1a7).
% 55.08/55.22 apply (zenon_or_s _ _ zenon_H476); [ zenon_intro zenon_H1a8 | zenon_intro zenon_H214 ].
% 55.08/55.22 apply (zenon_L82_); trivial.
% 55.08/55.22 apply (zenon_L876_); trivial.
% 55.08/55.22 apply (zenon_or_s _ _ zenon_H1a2); [ zenon_intro zenon_H16 | zenon_intro zenon_H1a4 ].
% 55.08/55.22 apply (zenon_L2_); trivial.
% 55.08/55.22 apply (zenon_or_s _ _ zenon_H1a4); [ zenon_intro zenon_H1d | zenon_intro zenon_H24 ].
% 55.08/55.22 apply (zenon_L3_); trivial.
% 55.08/55.22 apply (zenon_L4_); trivial.
% 55.08/55.22 (* end of lemma zenon_L877_ *)
% 55.08/55.22 assert (zenon_L878_ : ((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13)))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> ((op2 (e21) (op2 (e21) (e21))) = (e21)) -> ((e20) = (op2 (e21) (e21))) -> (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> (~((op2 (e22) (e23)) = (e22))) -> (~((op2 (e22) (e22)) = (e22))) -> (~((e21) = (e22))) -> ((e23) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((e22) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e22) (e22)) = (e21))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> ((op1 (e10) (e12)) = (e10)) -> (~((op1 (e12) (e12)) = (e11))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (~((op1 (e12) (e12)) = (e12))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((e12) = (e13))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e11)) = (e12))\/((op1 (e10) (e11)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e12))\/((op1 (e11) (e10)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> ((op1 (e11) (op1 (e11) (e12))) = (e12)) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> ((op1 (e12) (e10)) = (e10)) -> ((op1 (e11) (op1 (e11) (e10))) = (e10)) -> (~((h2 (op1 (e12) (e13))) = (op2 (h2 (e12)) (h2 (e13))))) -> ((h2 (e11)) = (e21)) -> ((h2 (e13)) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((h2 (e12)) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> ((op1 (e11) (op1 (e11) (e13))) = (e13)) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> ((e10) = (op1 (e11) (e11))) -> ((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) -> ((e12) = (op1 (op1 (op1 (e11) (e11)) (op1 (e11) (e11))) (op1 (e11) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e11) (e11)) = (e11))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e12)) = (e10))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> ((op1 (e11) (op1 (e11) (e11))) = (e11)) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e12)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e12)) = (e12))))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e22) (e23)) = (e21))))) -> False).
% 55.08/55.22 do 0 intro. intros zenon_H22c zenon_H498 zenon_H499 zenon_H33 zenon_Hf1 zenon_H281 zenon_Hd7 zenon_H27e zenon_H3b zenon_H3f zenon_Hb0 zenon_H101 zenon_H1fa zenon_H1de zenon_H18f zenon_H23f zenon_H1da zenon_H1ed zenon_H209 zenon_H15a zenon_H1d1 zenon_H2ad zenon_H236 zenon_H186 zenon_H179 zenon_H206 zenon_H17 zenon_H204 zenon_H1e8 zenon_H15f zenon_H1a9 zenon_H14b zenon_H2c2 zenon_H375 zenon_H30e zenon_H23b zenon_H2b9 zenon_H1cc zenon_H32b zenon_H301 zenon_H2f8 zenon_H172 zenon_H1fd zenon_H18a zenon_H360 zenon_H316 zenon_H2e6 zenon_H293 zenon_H292 zenon_H505 zenon_H270 zenon_H461 zenon_H44f zenon_H2c0 zenon_H29e zenon_H322 zenon_H25 zenon_H2e7 zenon_H1f7 zenon_H19d zenon_H180 zenon_H32e zenon_H21a zenon_H358 zenon_H13 zenon_H15 zenon_H155 zenon_H154 zenon_H473 zenon_H1be zenon_H1d8 zenon_H1db zenon_H1e zenon_H1a0 zenon_H474 zenon_H1b1 zenon_H2b1 zenon_H2a6 zenon_H2a5 zenon_H2a3 zenon_H510 zenon_H313 zenon_H50d.
% 55.08/55.22 apply (zenon_or_s _ _ zenon_H22c); [ zenon_intro zenon_H27d | zenon_intro zenon_H29d ].
% 55.08/55.22 apply (zenon_or_s _ _ zenon_H50d); [ zenon_intro zenon_H49a | zenon_intro zenon_H50e ].
% 55.08/55.22 apply (zenon_L555_); trivial.
% 55.08/55.22 apply (zenon_or_s _ _ zenon_H50e); [ zenon_intro zenon_H27f | zenon_intro zenon_H50f ].
% 55.08/55.22 apply (zenon_L134_); trivial.
% 55.08/55.22 apply (zenon_or_s _ _ zenon_H50f); [ zenon_intro zenon_H104 | zenon_intro zenon_H3c7 ].
% 55.08/55.22 exact (zenon_H101 zenon_H104).
% 55.08/55.22 apply (zenon_L877_); trivial.
% 55.08/55.22 apply (zenon_L183_); trivial.
% 55.08/55.22 (* end of lemma zenon_L878_ *)
% 55.08/55.22 assert (zenon_L879_ : (((op1 (e10) (e12)) = (e10))/\(((op1 (e12) (e10)) = (e10))/\(((~((op1 (e12) (e10)) = (e12)))\/(~((op1 (e12) (e12)) = (e10))))/\(((~((op1 (e12) (e11)) = (e12)))\/(~((op1 (e12) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13))))))))) -> (((op1 (e10) (e12)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e12)) = (e12))))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> ((op2 (e21) (op2 (e21) (e21))) = (e21)) -> ((e20) = (op2 (e21) (e21))) -> (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> (~((op2 (e22) (e23)) = (e22))) -> (~((op2 (e22) (e22)) = (e22))) -> (~((e21) = (e22))) -> ((e23) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((e22) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e22) (e22)) = (e21))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e12)) = (e11))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((e12) = (e13))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e11)) = (e12))\/((op1 (e10) (e11)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e12))\/((op1 (e11) (e10)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> ((op1 (e11) (op1 (e11) (e12))) = (e12)) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> ((op1 (e11) (op1 (e11) (e10))) = (e10)) -> (~((h2 (op1 (e12) (e13))) = (op2 (h2 (e12)) (h2 (e13))))) -> ((h2 (e11)) = (e21)) -> ((h2 (e13)) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((h2 (e12)) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> ((op1 (e11) (op1 (e11) (e13))) = (e13)) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> ((e10) = (op1 (e11) (e11))) -> ((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) -> ((e12) = (op1 (op1 (op1 (e11) (e11)) (op1 (e11) (e11))) (op1 (e11) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e11) (e11)) = (e11))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> ((op1 (e11) (op1 (e11) (e11))) = (e11)) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e22) (e23)) = (e21))))) -> False).
% 55.08/55.22 do 0 intro. intros zenon_H197 zenon_H510 zenon_H498 zenon_H499 zenon_H33 zenon_Hf1 zenon_H281 zenon_Hd7 zenon_H27e zenon_H3b zenon_H3f zenon_Hb0 zenon_H101 zenon_H1a0 zenon_H1e zenon_H1fa zenon_H1de zenon_H23f zenon_H1da zenon_H1ed zenon_H209 zenon_H15a zenon_H2ad zenon_H236 zenon_H186 zenon_H179 zenon_H206 zenon_H17 zenon_H204 zenon_H1e8 zenon_H15f zenon_H1a9 zenon_H14b zenon_H2c2 zenon_H375 zenon_H30e zenon_H23b zenon_H2b9 zenon_H1cc zenon_H32b zenon_H301 zenon_H2f8 zenon_H172 zenon_H1fd zenon_H18a zenon_H360 zenon_H316 zenon_H2e6 zenon_H292 zenon_H505 zenon_H270 zenon_H461 zenon_H44f zenon_H2c0 zenon_H29e zenon_H322 zenon_H25 zenon_H2e7 zenon_H1f7 zenon_H19d zenon_H180 zenon_H32e zenon_H21a zenon_H358 zenon_H13 zenon_H15 zenon_H155 zenon_H154 zenon_H473 zenon_H2a3 zenon_H2a5 zenon_H2a6 zenon_H2b1 zenon_H1be zenon_H1d8 zenon_H474 zenon_H1b1 zenon_H313 zenon_H50d.
% 55.08/55.22 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_H18f. zenon_intro zenon_H198.
% 55.08/55.22 apply (zenon_and_s _ _ zenon_H198). zenon_intro zenon_H293. zenon_intro zenon_H227.
% 55.08/55.22 apply (zenon_and_s _ _ zenon_H227). zenon_intro zenon_H229. zenon_intro zenon_H228.
% 55.08/55.22 apply (zenon_and_s _ _ zenon_H228). zenon_intro zenon_H22b. zenon_intro zenon_H22a.
% 55.08/55.22 apply (zenon_and_s _ _ zenon_H22a). zenon_intro zenon_H224. zenon_intro zenon_H22c.
% 55.08/55.22 apply (zenon_or_s _ _ zenon_H229); [ zenon_intro zenon_H21f | zenon_intro zenon_H1db ].
% 55.08/55.22 apply (zenon_or_s _ _ zenon_H224); [ zenon_intro zenon_H1d1 | zenon_intro zenon_H1d1 ].
% 55.08/55.22 apply (zenon_L869_); trivial.
% 55.08/55.22 apply (zenon_L869_); trivial.
% 55.08/55.22 apply (zenon_or_s _ _ zenon_H224); [ zenon_intro zenon_H1d1 | zenon_intro zenon_H1d1 ].
% 55.08/55.22 apply (zenon_L878_); trivial.
% 55.08/55.22 apply (zenon_L878_); trivial.
% 55.08/55.22 (* end of lemma zenon_L879_ *)
% 55.08/55.22 assert (zenon_L880_ : (((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e10)) = (e12))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e13) (e10)) = (e12))))) -> (~((op1 (e10) (e10)) = (e12))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e12))\/((op1 (e11) (e10)) = (e13))))) -> ((op1 (e11) (op1 (e11) (e13))) = (e13)) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> ((e12) = (op1 (op1 (op1 (e11) (e11)) (op1 (e11) (e11))) (op1 (e11) (e11)))) -> ((e10) = (op1 (e11) (e11))) -> ((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((h2 (op1 (e12) (e13))) = (op2 (h2 (e12)) (h2 (e13))))) -> ((h2 (e11)) = (e21)) -> ((op2 (e22) (e23)) = (e21)) -> ((h2 (e12)) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> ((e22) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> ((h2 (e13)) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((e23) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((op1 (e11) (op1 (e11) (e10))) = (e10)) -> ((op1 (e12) (e10)) = (e10)) -> ((op1 (e11) (e10)) = (e11)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((e12) = (e13))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> ((op1 (e10) (e11)) = (e11)) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> ((op1 (e11) (op1 (e11) (e12))) = (e12)) -> ((op1 (e10) (e13)) = (e12)) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> False).
% 55.08/55.22 do 0 intro. intros zenon_H4c3 zenon_H4c4 zenon_H1f7 zenon_H1e8 zenon_H154 zenon_H1a9 zenon_H14b zenon_H15f zenon_H29e zenon_H2c0 zenon_H155 zenon_H13 zenon_H15 zenon_H2b9 zenon_H505 zenon_H270 zenon_H3c7 zenon_H44f zenon_H3f zenon_H461 zenon_H3b zenon_H292 zenon_H293 zenon_H163 zenon_H2e6 zenon_H322 zenon_H2e7 zenon_H2ad zenon_H236 zenon_H21a zenon_H23b zenon_H360 zenon_H1cc zenon_H2f8 zenon_H1fe zenon_H1fd zenon_H172 zenon_H18a zenon_H301 zenon_H316 zenon_H25 zenon_H32b zenon_H15a zenon_H2c2 zenon_H375 zenon_H31b zenon_H30e.
% 55.08/55.22 apply (zenon_or_s _ _ zenon_H4c3); [ zenon_intro zenon_H4c6 | zenon_intro zenon_H4c8 ].
% 55.08/55.22 exact (zenon_H4c4 zenon_H4c6).
% 55.08/55.22 apply (zenon_or_s _ _ zenon_H4c8); [ zenon_intro zenon_H156 | zenon_intro zenon_H4c9 ].
% 55.08/55.22 apply (zenon_L63_); trivial.
% 55.08/55.22 apply (zenon_or_s _ _ zenon_H4c9); [ zenon_intro zenon_H21b | zenon_intro zenon_H16b ].
% 55.08/55.22 apply (zenon_L109_); trivial.
% 55.08/55.22 apply (zenon_L848_); trivial.
% 55.08/55.22 (* end of lemma zenon_L880_ *)
% 55.08/55.22 assert (zenon_L881_ : (((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)))) -> ((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) -> ((e10) = (op1 (e11) (e11))) -> ((e12) = (op1 (op1 (op1 (e11) (e11)) (op1 (e11) (e11))) (op1 (e11) (e11)))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> ((op1 (e13) (e10)) = (e10)) -> (~((e10) = (e12))) -> False).
% 55.08/55.22 do 0 intro. intros zenon_H4c3 zenon_H4c4 zenon_H154 zenon_H15 zenon_H13 zenon_H155 zenon_H21a zenon_H16a zenon_H16c.
% 55.08/55.22 apply (zenon_or_s _ _ zenon_H4c3); [ zenon_intro zenon_H4c6 | zenon_intro zenon_H4c8 ].
% 55.08/55.22 exact (zenon_H4c4 zenon_H4c6).
% 55.08/55.22 apply (zenon_or_s _ _ zenon_H4c8); [ zenon_intro zenon_H156 | zenon_intro zenon_H4c9 ].
% 55.08/55.22 apply (zenon_L63_); trivial.
% 55.08/55.22 apply (zenon_or_s _ _ zenon_H4c9); [ zenon_intro zenon_H21b | zenon_intro zenon_H16b ].
% 55.08/55.22 apply (zenon_L109_); trivial.
% 55.08/55.22 apply (zenon_L68_); trivial.
% 55.08/55.22 (* end of lemma zenon_L881_ *)
% 55.08/55.22 assert (zenon_L882_ : (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (~((op1 (e10) (e10)) = (e10))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e12))\/((op1 (e11) (e10)) = (e13))))) -> ((op1 (e11) (op1 (e11) (e13))) = (e13)) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((h2 (op1 (e12) (e13))) = (op2 (h2 (e12)) (h2 (e13))))) -> ((h2 (e11)) = (e21)) -> ((op2 (e22) (e23)) = (e21)) -> ((h2 (e12)) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> ((e22) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> ((h2 (e13)) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((e23) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((op1 (e11) (op1 (e11) (e10))) = (e10)) -> ((op1 (e11) (e10)) = (e11)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((e12) = (e13))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> ((op1 (e10) (e11)) = (e11)) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> ((op1 (e11) (op1 (e11) (e12))) = (e12)) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e13)) = (e10))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e10)) = (e12))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e13) (e10)) = (e12))))) -> (~((op1 (e10) (e10)) = (e12))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> ((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) -> ((e10) = (op1 (e11) (e11))) -> ((e12) = (op1 (op1 (op1 (e11) (e11)) (op1 (e11) (e11))) (op1 (e11) (e11)))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (~((e10) = (e12))) -> False).
% 55.08/55.22 do 0 intro. intros zenon_H4df zenon_H146 zenon_H25 zenon_H1f7 zenon_H1e8 zenon_H1a9 zenon_H14b zenon_H15f zenon_H29e zenon_H2c0 zenon_H2b9 zenon_H505 zenon_H270 zenon_H3c7 zenon_H44f zenon_H3f zenon_H461 zenon_H3b zenon_H292 zenon_H163 zenon_H2e6 zenon_H322 zenon_H2e7 zenon_H2ad zenon_H236 zenon_H23b zenon_H360 zenon_H1cc zenon_H2f8 zenon_H1fe zenon_H1fd zenon_H172 zenon_H18a zenon_H301 zenon_H316 zenon_H32b zenon_H15a zenon_H2c2 zenon_H375 zenon_H30e zenon_H485 zenon_H25f zenon_H328 zenon_H4c3 zenon_H4c4 zenon_H154 zenon_H15 zenon_H13 zenon_H155 zenon_H21a zenon_H16c.
% 55.08/55.22 apply (zenon_or_s _ _ zenon_H4df); [ zenon_intro zenon_H145 | zenon_intro zenon_H4e0 ].
% 55.08/55.22 exact (zenon_H146 zenon_H145).
% 55.08/55.22 apply (zenon_or_s _ _ zenon_H4e0); [ zenon_intro zenon_H14c | zenon_intro zenon_H4e1 ].
% 55.08/55.22 apply (zenon_L61_); trivial.
% 55.08/55.22 apply (zenon_or_s _ _ zenon_H4e1); [ zenon_intro zenon_H293 | zenon_intro zenon_H16a ].
% 55.08/55.22 apply (zenon_or_s _ _ zenon_H328); [ zenon_intro zenon_H19b | zenon_intro zenon_H329 ].
% 55.08/55.22 exact (zenon_H25f zenon_H19b).
% 55.08/55.22 apply (zenon_or_s _ _ zenon_H329); [ zenon_intro zenon_H2ef | zenon_intro zenon_H32a ].
% 55.08/55.22 apply (zenon_L524_); trivial.
% 55.08/55.22 apply (zenon_or_s _ _ zenon_H32a); [ zenon_intro zenon_H31b | zenon_intro zenon_H24 ].
% 55.08/55.22 apply (zenon_L880_); trivial.
% 55.08/55.22 apply (zenon_L4_); trivial.
% 55.08/55.22 apply (zenon_L881_); trivial.
% 55.08/55.22 (* end of lemma zenon_L882_ *)
% 55.08/55.22 assert (zenon_L883_ : ((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12)))) -> (((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e22) (e23)) = (e21))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> ((e12) = (op1 (op1 (op1 (e11) (e11)) (op1 (e11) (e11))) (op1 (e11) (e11)))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> ((op1 (e11) (op1 (e11) (e13))) = (e13)) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> ((h2 (e12)) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> ((h2 (e13)) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((h2 (e11)) = (e21)) -> (~((h2 (op1 (e12) (e13))) = (op2 (h2 (e12)) (h2 (e13))))) -> ((op1 (e11) (op1 (e11) (e10))) = (e10)) -> ((op1 (e11) (e10)) = (e11)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((e12) = (e13))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> ((op1 (e11) (op1 (e11) (e12))) = (e12)) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e12))\/((op1 (e11) (e10)) = (e13))))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e10)) = (e12))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e13) (e10)) = (e12))))) -> ((op1 (e10) (e11)) = (e11)) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (~((e10) = (e12))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (~((op2 (e22) (e22)) = (e21))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> ((e22) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> ((e23) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> (~((e21) = (e22))) -> (~((op2 (e22) (e22)) = (e22))) -> (~((op2 (e22) (e23)) = (e22))) -> (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> ((e20) = (op2 (e21) (e21))) -> ((op2 (e21) (op2 (e21) (e21))) = (e21)) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> ((e10) = (op1 (e11) (e11))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (~((op1 (e10) (e10)) = (e10))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> ((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> ((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))) -> False).
% 55.08/55.22 do 0 intro. intros zenon_H25e zenon_H50d zenon_H14b zenon_H328 zenon_H154 zenon_H155 zenon_H21a zenon_H1f7 zenon_H2e7 zenon_H322 zenon_H29e zenon_H2c0 zenon_H44f zenon_H461 zenon_H270 zenon_H505 zenon_H292 zenon_H163 zenon_H2e6 zenon_H316 zenon_H360 zenon_H18a zenon_H1fd zenon_H172 zenon_H2f8 zenon_H301 zenon_H32b zenon_H236 zenon_H1cc zenon_H2b9 zenon_H23b zenon_H2ad zenon_H30e zenon_H375 zenon_H2c2 zenon_H1a9 zenon_H15a zenon_H15f zenon_H1e8 zenon_H4c3 zenon_H1fe zenon_H485 zenon_H16c zenon_H4df zenon_H101 zenon_Hb0 zenon_H3f zenon_H3b zenon_H27e zenon_Hd7 zenon_H281 zenon_Hf1 zenon_H33 zenon_H499 zenon_H498 zenon_H246 zenon_H13 zenon_H19d zenon_H146 zenon_H1a0 zenon_H25 zenon_H1e zenon_H15 zenon_H17 zenon_H25d.
% 55.08/55.22 apply (zenon_or_s _ _ zenon_H25e); [ zenon_intro zenon_H458 | zenon_intro zenon_H4c4 ].
% 55.08/55.22 apply (zenon_L629_); trivial.
% 55.08/55.22 apply (zenon_or_s _ _ zenon_H25d); [ zenon_intro zenon_H25f | zenon_intro zenon_H1a1 ].
% 55.08/55.23 apply (zenon_or_s _ _ zenon_H50d); [ zenon_intro zenon_H49a | zenon_intro zenon_H50e ].
% 55.08/55.23 apply (zenon_L555_); trivial.
% 55.08/55.23 apply (zenon_or_s _ _ zenon_H50e); [ zenon_intro zenon_H27f | zenon_intro zenon_H50f ].
% 55.08/55.23 apply (zenon_L134_); trivial.
% 55.08/55.23 apply (zenon_or_s _ _ zenon_H50f); [ zenon_intro zenon_H104 | zenon_intro zenon_H3c7 ].
% 55.08/55.23 exact (zenon_H101 zenon_H104).
% 55.08/55.23 apply (zenon_L882_); trivial.
% 55.08/55.23 apply (zenon_L79_); trivial.
% 55.08/55.23 (* end of lemma zenon_L883_ *)
% 55.08/55.23 assert (zenon_L884_ : (((op1 (e11) (e10)) = (e11))/\(((op1 (e10) (e11)) = (e11))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11))))/\(((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12))))/\((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13))))))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> ((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> ((e10) = (op1 (e11) (e11))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> ((op2 (e21) (op2 (e21) (e21))) = (e21)) -> ((e20) = (op2 (e21) (e21))) -> (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> (~((op2 (e22) (e23)) = (e22))) -> (~((op2 (e22) (e22)) = (e22))) -> (~((e21) = (e22))) -> ((e23) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((e22) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e22) (e22)) = (e21))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (~((e10) = (e12))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e10)) = (e12))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e13) (e10)) = (e12))))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e12))\/((op1 (e11) (e10)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> ((op1 (e11) (op1 (e11) (e12))) = (e12)) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((e12) = (e13))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> ((op1 (e11) (op1 (e11) (e10))) = (e10)) -> (~((h2 (op1 (e12) (e13))) = (op2 (h2 (e12)) (h2 (e13))))) -> ((h2 (e11)) = (e21)) -> ((h2 (e13)) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((h2 (e12)) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> ((op1 (e11) (op1 (e11) (e13))) = (e13)) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> ((e12) = (op1 (op1 (op1 (e11) (e11)) (op1 (e11) (e11))) (op1 (e11) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e22) (e23)) = (e21))))) -> False).
% 55.08/55.23 do 0 intro. intros zenon_H259 zenon_H17 zenon_H15 zenon_H1e zenon_H25 zenon_H1a0 zenon_H19d zenon_H13 zenon_H246 zenon_H498 zenon_H499 zenon_H33 zenon_Hf1 zenon_H281 zenon_Hd7 zenon_H27e zenon_H3b zenon_H3f zenon_Hb0 zenon_H101 zenon_H4df zenon_H16c zenon_H485 zenon_H4c3 zenon_H1e8 zenon_H15f zenon_H15a zenon_H1a9 zenon_H2c2 zenon_H375 zenon_H30e zenon_H2ad zenon_H23b zenon_H2b9 zenon_H1cc zenon_H236 zenon_H32b zenon_H301 zenon_H2f8 zenon_H172 zenon_H1fd zenon_H18a zenon_H360 zenon_H316 zenon_H2e6 zenon_H292 zenon_H505 zenon_H270 zenon_H461 zenon_H44f zenon_H2c0 zenon_H29e zenon_H322 zenon_H2e7 zenon_H1f7 zenon_H21a zenon_H155 zenon_H154 zenon_H328 zenon_H14b zenon_H50d.
% 55.08/55.23 apply (zenon_and_s _ _ zenon_H259). zenon_intro zenon_H163. zenon_intro zenon_H25a.
% 55.08/55.23 apply (zenon_and_s _ _ zenon_H25a). zenon_intro zenon_H1fe. zenon_intro zenon_H149.
% 55.08/55.23 apply (zenon_and_s _ _ zenon_H149). zenon_intro zenon_H144. zenon_intro zenon_H14a.
% 55.08/55.23 apply (zenon_and_s _ _ zenon_H14a). zenon_intro zenon_H25c. zenon_intro zenon_H25b.
% 55.08/55.23 apply (zenon_and_s _ _ zenon_H25b). zenon_intro zenon_H25e. zenon_intro zenon_H25d.
% 55.08/55.23 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_H146 | zenon_intro zenon_H146 ].
% 55.08/55.23 apply (zenon_L883_); trivial.
% 55.08/55.23 apply (zenon_L883_); trivial.
% 55.08/55.23 (* end of lemma zenon_L884_ *)
% 55.08/55.23 assert (zenon_L885_ : (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e12)) = (e12))) -> (~((op1 (e12) (e12)) = (e11))) -> ((op1 (e10) (e12)) = (e10)) -> ((op1 (e12) (e10)) = (e10)) -> ((op1 (e11) (op1 (e11) (e10))) = (e10)) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e13)) = (e12))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e11)) = (e12))\/((op1 (e10) (e11)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> ((op1 (e11) (op1 (e11) (e12))) = (e12)) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (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) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (~((e12) = (e13))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> ((e23) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((h2 (e13)) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((e22) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> ((h2 (e12)) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> ((op2 (e22) (e23)) = (e21)) -> ((h2 (e11)) = (e21)) -> (~((h2 (op1 (e12) (e13))) = (op2 (h2 (e12)) (h2 (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e11) (e11)) = (e11))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> ((e10) = (op1 (e11) (e11))) -> ((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> ((e12) = (op1 (op1 (op1 (e11) (e11)) (op1 (e11) (e11))) (op1 (e11) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e12))\/((op1 (e11) (e10)) = (e13))))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> ((op1 (e11) (op1 (e11) (e13))) = (e13)) -> ((op1 (e13) (e11)) = (e13)) -> False).
% 55.08/55.23 do 0 intro. intros zenon_H474 zenon_H1cc zenon_H1d1 zenon_H23f zenon_H18f zenon_H293 zenon_H292 zenon_H1de zenon_H1da zenon_H209 zenon_H358 zenon_H180 zenon_H179 zenon_H27d zenon_H206 zenon_H19d zenon_H30e zenon_H375 zenon_H2c2 zenon_H32b zenon_H25 zenon_H316 zenon_H301 zenon_H1fd zenon_H2f8 zenon_H360 zenon_H23b zenon_H21a zenon_H236 zenon_H2ad zenon_H2e7 zenon_H322 zenon_H2e6 zenon_H3b zenon_H461 zenon_H3f zenon_H44f zenon_H3c7 zenon_H270 zenon_H505 zenon_H2b9 zenon_H1e8 zenon_H1f7 zenon_H204 zenon_H17 zenon_H32e zenon_H2c0 zenon_H186 zenon_H1ed zenon_H172 zenon_H1fa zenon_H473 zenon_H15a zenon_H13 zenon_H15 zenon_H154 zenon_H155 zenon_H1a9 zenon_H14b zenon_H15f zenon_H18a zenon_H29e zenon_H1c3.
% 55.08/55.23 apply (zenon_or_s _ _ zenon_H474); [ zenon_intro zenon_H163 | zenon_intro zenon_H475 ].
% 55.08/55.23 apply (zenon_L858_); trivial.
% 55.08/55.23 apply (zenon_or_s _ _ zenon_H475); [ zenon_intro zenon_H1a7 | zenon_intro zenon_H476 ].
% 55.08/55.23 exact (zenon_H473 zenon_H1a7).
% 55.08/55.23 apply (zenon_or_s _ _ zenon_H476); [ zenon_intro zenon_H1a8 | zenon_intro zenon_H214 ].
% 55.08/55.23 apply (zenon_L82_); trivial.
% 55.08/55.23 apply (zenon_L149_); trivial.
% 55.08/55.23 (* end of lemma zenon_L885_ *)
% 55.08/55.23 assert (zenon_L886_ : (((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e22) (e23)) = (e21))))) -> ((op2 (e21) (op2 (e21) (e21))) = (e21)) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (~((op2 (e22) (e23)) = (e22))) -> (~((op2 (e22) (e22)) = (e22))) -> (~((e21) = (e22))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> ((e20) = (op2 (e21) (e21))) -> (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> (~((op2 (e22) (e22)) = (e21))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e12)) = (e12))) -> (~((op1 (e12) (e12)) = (e11))) -> ((op1 (e10) (e12)) = (e10)) -> ((op1 (e12) (e10)) = (e10)) -> ((op1 (e11) (op1 (e11) (e10))) = (e10)) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e13)) = (e12))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e11)) = (e12))\/((op1 (e10) (e11)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> ((op1 (e11) (op1 (e11) (e12))) = (e12)) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (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) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (~((e12) = (e13))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> ((e23) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((h2 (e13)) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((e22) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> ((h2 (e12)) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> ((h2 (e11)) = (e21)) -> (~((h2 (op1 (e12) (e13))) = (op2 (h2 (e12)) (h2 (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e11) (e11)) = (e11))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> ((e10) = (op1 (e11) (e11))) -> ((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> ((e12) = (op1 (op1 (op1 (e11) (e11)) (op1 (e11) (e11))) (op1 (e11) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e12))\/((op1 (e11) (e10)) = (e13))))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> ((op1 (e11) (op1 (e11) (e13))) = (e13)) -> ((op1 (e13) (e11)) = (e13)) -> False).
% 55.08/55.23 do 0 intro. intros zenon_H50d zenon_H499 zenon_H498 zenon_H281 zenon_Hd7 zenon_H27e zenon_Hb0 zenon_H33 zenon_Hf1 zenon_H101 zenon_H474 zenon_H1cc zenon_H1d1 zenon_H23f zenon_H18f zenon_H293 zenon_H292 zenon_H1de zenon_H1da zenon_H209 zenon_H358 zenon_H180 zenon_H179 zenon_H27d zenon_H206 zenon_H19d zenon_H30e zenon_H375 zenon_H2c2 zenon_H32b zenon_H25 zenon_H316 zenon_H301 zenon_H1fd zenon_H2f8 zenon_H360 zenon_H23b zenon_H21a zenon_H236 zenon_H2ad zenon_H2e7 zenon_H322 zenon_H2e6 zenon_H3b zenon_H461 zenon_H3f zenon_H44f zenon_H270 zenon_H505 zenon_H2b9 zenon_H1e8 zenon_H1f7 zenon_H204 zenon_H17 zenon_H32e zenon_H2c0 zenon_H186 zenon_H1ed zenon_H172 zenon_H1fa zenon_H473 zenon_H15a zenon_H13 zenon_H15 zenon_H154 zenon_H155 zenon_H1a9 zenon_H14b zenon_H15f zenon_H18a zenon_H29e zenon_H1c3.
% 55.08/55.23 apply (zenon_or_s _ _ zenon_H50d); [ zenon_intro zenon_H49a | zenon_intro zenon_H50e ].
% 55.08/55.23 apply (zenon_L555_); trivial.
% 55.08/55.23 apply (zenon_or_s _ _ zenon_H50e); [ zenon_intro zenon_H27f | zenon_intro zenon_H50f ].
% 55.08/55.23 apply (zenon_L134_); trivial.
% 55.08/55.23 apply (zenon_or_s _ _ zenon_H50f); [ zenon_intro zenon_H104 | zenon_intro zenon_H3c7 ].
% 55.08/55.23 exact (zenon_H101 zenon_H104).
% 55.08/55.23 apply (zenon_L885_); trivial.
% 55.08/55.23 (* end of lemma zenon_L886_ *)
% 55.08/55.23 assert (zenon_L887_ : ((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13)))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> ((op2 (e21) (op2 (e21) (e21))) = (e21)) -> ((e20) = (op2 (e21) (e21))) -> (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> (~((op2 (e22) (e23)) = (e22))) -> (~((op2 (e22) (e22)) = (e22))) -> (~((e21) = (e22))) -> ((e23) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((e22) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e22) (e22)) = (e21))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> ((op1 (e13) (e11)) = (e13)) -> (~((op1 (e11) (e11)) = (e11))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> ((e12) = (op1 (op1 (op1 (e11) (e11)) (op1 (e11) (e11))) (op1 (e11) (e11)))) -> ((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) -> ((e10) = (op1 (e11) (e11))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> ((op1 (e11) (op1 (e11) (e13))) = (e13)) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> ((h2 (e12)) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> ((h2 (e13)) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((h2 (e11)) = (e21)) -> (~((h2 (op1 (e12) (e13))) = (op2 (h2 (e12)) (h2 (e13))))) -> ((op1 (e11) (op1 (e11) (e10))) = (e10)) -> ((op1 (e12) (e10)) = (e10)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> ((op1 (e11) (op1 (e11) (e12))) = (e12)) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e12))\/((op1 (e11) (e10)) = (e13))))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e11)) = (e12))\/((op1 (e10) (e11)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((e12) = (e13))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e12) (e12)) = (e12))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (~((op1 (e12) (e12)) = (e11))) -> ((op1 (e10) (e12)) = (e10)) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e22) (e23)) = (e21))))) -> False).
% 55.08/55.23 do 0 intro. intros zenon_H22c zenon_H498 zenon_H499 zenon_H33 zenon_Hf1 zenon_H281 zenon_Hd7 zenon_H27e zenon_H3b zenon_H3f zenon_Hb0 zenon_H101 zenon_H474 zenon_H1c3 zenon_H473 zenon_H154 zenon_H155 zenon_H15 zenon_H13 zenon_H358 zenon_H21a zenon_H32e zenon_H180 zenon_H19d zenon_H1f7 zenon_H2e7 zenon_H25 zenon_H322 zenon_H29e zenon_H2c0 zenon_H44f zenon_H461 zenon_H270 zenon_H505 zenon_H292 zenon_H293 zenon_H2e6 zenon_H316 zenon_H360 zenon_H18a zenon_H1fd zenon_H172 zenon_H2f8 zenon_H301 zenon_H32b zenon_H1cc zenon_H2b9 zenon_H23b zenon_H30e zenon_H375 zenon_H2c2 zenon_H14b zenon_H1a9 zenon_H15f zenon_H1e8 zenon_H204 zenon_H17 zenon_H206 zenon_H179 zenon_H186 zenon_H236 zenon_H2ad zenon_H1d1 zenon_H15a zenon_H209 zenon_H1ed zenon_H1da zenon_H23f zenon_H18f zenon_H1de zenon_H1fa zenon_H50d.
% 55.08/55.23 apply (zenon_or_s _ _ zenon_H22c); [ zenon_intro zenon_H27d | zenon_intro zenon_H29d ].
% 55.08/55.23 apply (zenon_L886_); trivial.
% 55.08/55.23 apply (zenon_L144_); trivial.
% 55.08/55.23 (* end of lemma zenon_L887_ *)
% 55.08/55.23 assert (zenon_L888_ : (((op1 (e10) (e12)) = (e10))/\(((op1 (e12) (e10)) = (e10))/\(((~((op1 (e12) (e10)) = (e12)))\/(~((op1 (e12) (e12)) = (e10))))/\(((~((op1 (e12) (e11)) = (e12)))\/(~((op1 (e12) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13))))))))) -> (((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e22) (e23)) = (e21))))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e12)) = (e11))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((e12) = (e13))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e11)) = (e12))\/((op1 (e10) (e11)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e12))\/((op1 (e11) (e10)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> ((op1 (e11) (op1 (e11) (e12))) = (e12)) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> ((op1 (e11) (op1 (e11) (e10))) = (e10)) -> (~((h2 (op1 (e12) (e13))) = (op2 (h2 (e12)) (h2 (e13))))) -> ((h2 (e11)) = (e21)) -> ((h2 (e13)) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((h2 (e12)) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> ((op1 (e11) (op1 (e11) (e13))) = (e13)) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> ((e10) = (op1 (e11) (e11))) -> ((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) -> ((e12) = (op1 (op1 (op1 (e11) (e11)) (op1 (e11) (e11))) (op1 (e11) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e11) (e11)) = (e11))) -> ((op1 (e13) (e11)) = (e13)) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (~((op2 (e22) (e22)) = (e21))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> ((e22) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> ((e23) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> (~((e21) = (e22))) -> (~((op2 (e22) (e22)) = (e22))) -> (~((op2 (e22) (e23)) = (e22))) -> (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> ((e20) = (op2 (e21) (e21))) -> ((op2 (e21) (op2 (e21) (e21))) = (e21)) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> False).
% 55.08/55.23 do 0 intro. intros zenon_H197 zenon_H50d zenon_H1fa zenon_H1de zenon_H23f zenon_H1da zenon_H1ed zenon_H209 zenon_H15a zenon_H2ad zenon_H236 zenon_H186 zenon_H179 zenon_H206 zenon_H17 zenon_H204 zenon_H1e8 zenon_H15f zenon_H1a9 zenon_H14b zenon_H2c2 zenon_H375 zenon_H30e zenon_H23b zenon_H2b9 zenon_H1cc zenon_H32b zenon_H301 zenon_H2f8 zenon_H172 zenon_H1fd zenon_H18a zenon_H360 zenon_H316 zenon_H2e6 zenon_H292 zenon_H505 zenon_H270 zenon_H461 zenon_H44f zenon_H2c0 zenon_H29e zenon_H322 zenon_H25 zenon_H2e7 zenon_H1f7 zenon_H19d zenon_H180 zenon_H32e zenon_H21a zenon_H358 zenon_H13 zenon_H15 zenon_H155 zenon_H154 zenon_H473 zenon_H1c3 zenon_H474 zenon_H101 zenon_Hb0 zenon_H3f zenon_H3b zenon_H27e zenon_Hd7 zenon_H281 zenon_Hf1 zenon_H33 zenon_H499 zenon_H498.
% 55.08/55.23 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_H18f. zenon_intro zenon_H198.
% 55.08/55.23 apply (zenon_and_s _ _ zenon_H198). zenon_intro zenon_H293. zenon_intro zenon_H227.
% 55.08/55.23 apply (zenon_and_s _ _ zenon_H227). zenon_intro zenon_H229. zenon_intro zenon_H228.
% 55.08/55.23 apply (zenon_and_s _ _ zenon_H228). zenon_intro zenon_H22b. zenon_intro zenon_H22a.
% 55.08/55.23 apply (zenon_and_s _ _ zenon_H22a). zenon_intro zenon_H224. zenon_intro zenon_H22c.
% 55.08/55.23 apply (zenon_or_s _ _ zenon_H224); [ zenon_intro zenon_H1d1 | zenon_intro zenon_H1d1 ].
% 55.08/55.23 apply (zenon_L887_); trivial.
% 55.08/55.23 apply (zenon_L887_); trivial.
% 55.08/55.23 (* end of lemma zenon_L888_ *)
% 55.08/55.23 assert (zenon_L889_ : (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> ((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) -> ((e12) = (op1 (op1 (op1 (e11) (e11)) (op1 (e11) (e11))) (op1 (e11) (e11)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e12) (e13)) = (e12))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e11)) = (e12))\/((op1 (e10) (e11)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> ((op1 (e11) (op1 (e11) (e12))) = (e12)) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (~((e12) = (e13))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> ((e23) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((h2 (e13)) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((e22) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> ((h2 (e12)) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> ((op2 (e22) (e23)) = (e21)) -> ((h2 (e11)) = (e21)) -> (~((h2 (op1 (e12) (e13))) = (op2 (h2 (e12)) (h2 (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e12))\/((op1 (e11) (e10)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> ((op1 (e12) (e11)) = (e12)) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> ((op1 (e11) (op1 (e11) (e10))) = (e10)) -> ((op1 (e12) (e10)) = (e10)) -> ((op1 (e11) (e10)) = (e11)) -> ((op1 (e10) (e12)) = (e10)) -> ((e10) = (op1 (e11) (e11))) -> (~((op1 (e12) (e12)) = (e11))) -> (~((op1 (e12) (e12)) = (e12))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> ((op1 (e11) (op1 (e11) (e13))) = (e13)) -> False).
% 55.08/55.23 do 0 intro. intros zenon_H1fa zenon_H358 zenon_H180 zenon_H15 zenon_H155 zenon_H179 zenon_H172 zenon_H27d zenon_H206 zenon_H19d zenon_H30e zenon_H375 zenon_H2c2 zenon_H15a zenon_H32b zenon_H25 zenon_H316 zenon_H301 zenon_H18a zenon_H1fd zenon_H2f8 zenon_H360 zenon_H23b zenon_H21a zenon_H236 zenon_H2ad zenon_H2e7 zenon_H322 zenon_H2e6 zenon_H3b zenon_H461 zenon_H3f zenon_H44f zenon_H3c7 zenon_H270 zenon_H505 zenon_H2b9 zenon_H15f zenon_H14b zenon_H1a9 zenon_H154 zenon_H1e8 zenon_H1f7 zenon_H202 zenon_H204 zenon_H17 zenon_H32e zenon_H2c0 zenon_H186 zenon_H1ed zenon_H1da zenon_H1de zenon_H292 zenon_H293 zenon_H163 zenon_H18f zenon_H13 zenon_H23f zenon_H1d1 zenon_H1cc zenon_H29e.
% 55.08/55.23 apply (zenon_or_s _ _ zenon_H1fa); [ zenon_intro zenon_H156 | zenon_intro zenon_H1fb ].
% 55.08/55.23 apply (zenon_L63_); trivial.
% 55.08/55.23 apply (zenon_or_s _ _ zenon_H1fb); [ zenon_intro zenon_H1b8 | zenon_intro zenon_H1fc ].
% 55.08/55.23 apply (zenon_L870_); trivial.
% 55.08/55.23 apply (zenon_or_s _ _ zenon_H1fc); [ zenon_intro zenon_H1c6 | zenon_intro zenon_H1ec ].
% 55.08/55.23 apply (zenon_L857_); trivial.
% 55.08/55.23 apply (zenon_L500_); trivial.
% 55.08/55.23 (* end of lemma zenon_L889_ *)
% 55.08/55.23 assert (zenon_L890_ : (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> ((op1 (e12) (e11)) = (e12)) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e12))\/((op1 (e11) (e10)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (~((op1 (e11) (e11)) = (e11))) -> ((op1 (e11) (op1 (e11) (e12))) = (e12)) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> ((op1 (e12) (e10)) = (e10)) -> ((op1 (e11) (op1 (e11) (e10))) = (e10)) -> ((e23) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((h2 (e13)) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((e22) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> ((h2 (e12)) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> ((op2 (e22) (e23)) = (e21)) -> ((h2 (e11)) = (e21)) -> (~((h2 (op1 (e12) (e13))) = (op2 (h2 (e12)) (h2 (e13))))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e10) (e10)) = (e13)) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e11)) = (e12))\/((op1 (e10) (e11)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> ((op1 (e11) (e11)) = (e12)) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e12) (e13)) = (e12))) -> (~((op1 (e12) (e12)) = (e12))) -> (~((e12) = (e13))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> ((e12) = (op1 (op1 (op1 (e11) (e11)) (op1 (e11) (e11))) (op1 (e11) (e11)))) -> ((e10) = (op1 (e11) (e11))) -> ((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> ((op1 (e11) (op1 (e11) (e13))) = (e13)) -> ((op1 (e11) (e13)) = (e11)) -> False).
% 55.08/55.23 do 0 intro. intros zenon_H2b9 zenon_H2e7 zenon_H2ad zenon_H202 zenon_H1cc zenon_H1be zenon_H1b1 zenon_H15f zenon_H14b zenon_H1a9 zenon_H154 zenon_H15a zenon_H473 zenon_H375 zenon_H2c2 zenon_H32b zenon_H25 zenon_H322 zenon_H2e6 zenon_H293 zenon_H292 zenon_H3b zenon_H461 zenon_H3f zenon_H44f zenon_H3c7 zenon_H270 zenon_H505 zenon_H2c0 zenon_H1e8 zenon_H1f7 zenon_H474 zenon_H1d8 zenon_H1a3 zenon_H206 zenon_H19d zenon_H360 zenon_H2f8 zenon_H1fd zenon_H301 zenon_H316 zenon_H186 zenon_H204 zenon_H32e zenon_H172 zenon_H179 zenon_H180 zenon_H358 zenon_H1b8 zenon_H313 zenon_H17 zenon_H30e zenon_H27d zenon_H1d1 zenon_H236 zenon_H21a zenon_H155 zenon_H13 zenon_H15 zenon_H23b zenon_H18a zenon_H29e zenon_H214.
% 55.08/55.23 apply (zenon_or_s _ _ zenon_H2c2); [ zenon_intro zenon_H159 | zenon_intro zenon_H2c3 ].
% 55.08/55.23 apply (zenon_L64_); trivial.
% 55.08/55.23 apply (zenon_or_s _ _ zenon_H2c3); [ zenon_intro zenon_H2b7 | zenon_intro zenon_H2c4 ].
% 55.08/55.23 apply (zenon_L862_); trivial.
% 55.08/55.23 apply (zenon_or_s _ _ zenon_H2c4); [ zenon_intro zenon_H1f3 | zenon_intro zenon_H234 ].
% 55.08/55.23 apply (zenon_L289_); trivial.
% 55.08/55.23 apply (zenon_L501_); trivial.
% 55.08/55.23 (* end of lemma zenon_L890_ *)
% 55.08/55.23 assert (zenon_L891_ : (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> ((op1 (e11) (op1 (e11) (e13))) = (e13)) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> ((op1 (e12) (e11)) = (e12)) -> (~((e12) = (e13))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((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)) = (op1 (e11) (e10)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e12)) = (e11))) -> ((op1 (e11) (op1 (e11) (e10))) = (e10)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> ((op1 (e11) (op1 (e11) (e11))) = (e11)) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e12))\/((op1 (e11) (e10)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> ((op1 (e11) (op1 (e11) (e12))) = (e12)) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e12) (e13)) = (e12))) -> (~((op1 (e12) (e12)) = (e12))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> ((e12) = (op1 (op1 (op1 (e11) (e11)) (op1 (e11) (e11))) (op1 (e11) (e11)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e11)) = (e11))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> ((op1 (e12) (e10)) = (e10)) -> ((e23) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((h2 (e13)) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((e22) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> ((h2 (e12)) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> ((op2 (e22) (e23)) = (e21)) -> ((h2 (e11)) = (e21)) -> (~((h2 (op1 (e12) (e13))) = (op2 (h2 (e12)) (h2 (e13))))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> ((op1 (e10) (e12)) = (e10)) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> ((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) -> ((e10) = (op1 (e11) (e11))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> False).
% 55.08/55.23 do 0 intro. intros zenon_H1a0 zenon_H29e zenon_H18a zenon_H202 zenon_H236 zenon_H2e7 zenon_H2ad zenon_H1cc zenon_H2b9 zenon_H313 zenon_H2c2 zenon_H204 zenon_H316 zenon_H301 zenon_H1fd zenon_H2f8 zenon_H360 zenon_H19d zenon_H206 zenon_H15a zenon_H154 zenon_H2b1 zenon_H1d8 zenon_H23f zenon_H292 zenon_H2a3 zenon_H1da zenon_H2a6 zenon_H2a5 zenon_H14b zenon_H15f zenon_H1b1 zenon_H1be zenon_H180 zenon_H179 zenon_H172 zenon_H32e zenon_H375 zenon_H1ed zenon_H186 zenon_H30e zenon_H27d zenon_H1d1 zenon_H21a zenon_H155 zenon_H23b zenon_H1a9 zenon_H473 zenon_H32b zenon_H322 zenon_H2e6 zenon_H293 zenon_H3b zenon_H461 zenon_H3f zenon_H44f zenon_H3c7 zenon_H270 zenon_H505 zenon_H2c0 zenon_H1e8 zenon_H1f7 zenon_H474 zenon_H358 zenon_H1fa zenon_H1de zenon_H18f zenon_H17 zenon_H1e zenon_H15 zenon_H13 zenon_H25.
% 55.08/55.23 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_H1a3 | zenon_intro zenon_H1a2 ].
% 55.08/55.23 apply (zenon_or_s _ _ zenon_H474); [ zenon_intro zenon_H163 | zenon_intro zenon_H475 ].
% 55.08/55.23 apply (zenon_L889_); trivial.
% 55.08/55.23 apply (zenon_or_s _ _ zenon_H475); [ zenon_intro zenon_H1a7 | zenon_intro zenon_H476 ].
% 55.08/55.23 exact (zenon_H473 zenon_H1a7).
% 55.08/55.23 apply (zenon_or_s _ _ zenon_H476); [ zenon_intro zenon_H1a8 | zenon_intro zenon_H214 ].
% 55.08/55.23 apply (zenon_L82_); trivial.
% 55.08/55.23 apply (zenon_or_s _ _ zenon_H1fa); [ zenon_intro zenon_H156 | zenon_intro zenon_H1fb ].
% 55.08/55.23 apply (zenon_L63_); trivial.
% 55.08/55.23 apply (zenon_or_s _ _ zenon_H1fb); [ zenon_intro zenon_H1b8 | zenon_intro zenon_H1fc ].
% 55.08/55.23 apply (zenon_L890_); trivial.
% 55.08/55.23 apply (zenon_or_s _ _ zenon_H1fc); [ zenon_intro zenon_H1c6 | zenon_intro zenon_H1ec ].
% 55.08/55.23 apply (zenon_L506_); trivial.
% 55.08/55.23 apply (zenon_L508_); trivial.
% 55.08/55.23 apply (zenon_or_s _ _ zenon_H1a2); [ zenon_intro zenon_H16 | zenon_intro zenon_H1a4 ].
% 55.08/55.23 apply (zenon_L2_); trivial.
% 55.08/55.23 apply (zenon_or_s _ _ zenon_H1a4); [ zenon_intro zenon_H1d | zenon_intro zenon_H24 ].
% 55.08/55.23 apply (zenon_L3_); trivial.
% 55.08/55.23 apply (zenon_L4_); trivial.
% 55.08/55.23 (* end of lemma zenon_L891_ *)
% 55.08/55.23 assert (zenon_L892_ : ((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13)))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> ((op2 (e21) (op2 (e21) (e21))) = (e21)) -> ((e20) = (op2 (e21) (e21))) -> (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> (~((op2 (e22) (e23)) = (e22))) -> (~((op2 (e22) (e22)) = (e22))) -> (~((e21) = (e22))) -> ((e23) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((e22) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e22) (e22)) = (e21))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> ((op1 (e10) (e12)) = (e10)) -> (~((op1 (e12) (e12)) = (e11))) -> (~((op1 (e12) (e12)) = (e12))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> ((op1 (e11) (op1 (e11) (e13))) = (e13)) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> ((h2 (e12)) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> ((h2 (e13)) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((h2 (e11)) = (e21)) -> (~((h2 (op1 (e12) (e13))) = (op2 (h2 (e12)) (h2 (e13))))) -> ((op1 (e11) (op1 (e11) (e10))) = (e10)) -> ((op1 (e12) (e10)) = (e10)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> ((op1 (e11) (op1 (e11) (e12))) = (e12)) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e12))\/((op1 (e11) (e10)) = (e13))))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e11)) = (e12))\/((op1 (e10) (e11)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> ((op1 (e12) (e11)) = (e12)) -> (~((e12) = (e13))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> ((e10) = (op1 (e11) (e11))) -> ((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) -> ((e12) = (op1 (op1 (op1 (e11) (e11)) (op1 (e11) (e11))) (op1 (e11) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e11) (e11)) = (e11))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> ((op1 (e11) (op1 (e11) (e11))) = (e11)) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e22) (e23)) = (e21))))) -> False).
% 55.08/55.23 do 0 intro. intros zenon_H22c zenon_H498 zenon_H499 zenon_H33 zenon_Hf1 zenon_H281 zenon_Hd7 zenon_H27e zenon_H3b zenon_H3f zenon_Hb0 zenon_H101 zenon_H1a0 zenon_H1e zenon_H1fa zenon_H1de zenon_H18f zenon_H23f zenon_H1d1 zenon_H1da zenon_H1ed zenon_H15a zenon_H32e zenon_H180 zenon_H19d zenon_H1f7 zenon_H2e7 zenon_H25 zenon_H322 zenon_H29e zenon_H2c0 zenon_H44f zenon_H461 zenon_H270 zenon_H505 zenon_H292 zenon_H293 zenon_H2e6 zenon_H316 zenon_H360 zenon_H18a zenon_H1fd zenon_H172 zenon_H2f8 zenon_H301 zenon_H32b zenon_H21a zenon_H1cc zenon_H2b9 zenon_H23b zenon_H30e zenon_H375 zenon_H2c2 zenon_H14b zenon_H1a9 zenon_H15f zenon_H1e8 zenon_H204 zenon_H17 zenon_H206 zenon_H179 zenon_H186 zenon_H202 zenon_H236 zenon_H2ad zenon_H358 zenon_H13 zenon_H15 zenon_H155 zenon_H154 zenon_H473 zenon_H2a3 zenon_H2a5 zenon_H2a6 zenon_H2b1 zenon_H1b1 zenon_H474 zenon_H1d8 zenon_H1be zenon_H313 zenon_H50d.
% 55.08/55.23 apply (zenon_or_s _ _ zenon_H22c); [ zenon_intro zenon_H27d | zenon_intro zenon_H29d ].
% 55.08/55.23 apply (zenon_or_s _ _ zenon_H50d); [ zenon_intro zenon_H49a | zenon_intro zenon_H50e ].
% 55.08/55.23 apply (zenon_L555_); trivial.
% 55.08/55.23 apply (zenon_or_s _ _ zenon_H50e); [ zenon_intro zenon_H27f | zenon_intro zenon_H50f ].
% 55.08/55.23 apply (zenon_L134_); trivial.
% 55.08/55.23 apply (zenon_or_s _ _ zenon_H50f); [ zenon_intro zenon_H104 | zenon_intro zenon_H3c7 ].
% 55.08/55.23 exact (zenon_H101 zenon_H104).
% 55.08/55.23 apply (zenon_L891_); trivial.
% 55.08/55.23 apply (zenon_L144_); trivial.
% 55.08/55.23 (* end of lemma zenon_L892_ *)
% 55.08/55.23 assert (zenon_L893_ : (((op1 (e10) (e12)) = (e10))/\(((op1 (e12) (e10)) = (e10))/\(((~((op1 (e12) (e10)) = (e12)))\/(~((op1 (e12) (e12)) = (e10))))/\(((~((op1 (e12) (e11)) = (e12)))\/(~((op1 (e12) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13))))))))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> ((op2 (e21) (op2 (e21) (e21))) = (e21)) -> ((e20) = (op2 (e21) (e21))) -> (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> (~((op2 (e22) (e23)) = (e22))) -> (~((op2 (e22) (e22)) = (e22))) -> (~((e21) = (e22))) -> ((e23) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((e22) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e22) (e22)) = (e21))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> ((op1 (e11) (op1 (e11) (e13))) = (e13)) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> ((h2 (e12)) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> ((h2 (e13)) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((h2 (e11)) = (e21)) -> (~((h2 (op1 (e12) (e13))) = (op2 (h2 (e12)) (h2 (e13))))) -> ((op1 (e11) (op1 (e11) (e10))) = (e10)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> ((op1 (e11) (op1 (e11) (e12))) = (e12)) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e12))\/((op1 (e11) (e10)) = (e13))))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e11)) = (e12))\/((op1 (e10) (e11)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((e12) = (e13))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> ((e10) = (op1 (e11) (e11))) -> ((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) -> ((e12) = (op1 (op1 (op1 (e11) (e11)) (op1 (e11) (e11))) (op1 (e11) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e11) (e11)) = (e11))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> ((op1 (e11) (op1 (e11) (e11))) = (e11)) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e22) (e23)) = (e21))))) -> ((op1 (e12) (e11)) = (e12)) -> False).
% 55.08/55.24 do 0 intro. intros zenon_H197 zenon_H498 zenon_H499 zenon_H33 zenon_Hf1 zenon_H281 zenon_Hd7 zenon_H27e zenon_H3b zenon_H3f zenon_Hb0 zenon_H101 zenon_H1a0 zenon_H1e zenon_H1fa zenon_H1de zenon_H1da zenon_H1ed zenon_H15a zenon_H32e zenon_H180 zenon_H19d zenon_H1f7 zenon_H2e7 zenon_H25 zenon_H322 zenon_H29e zenon_H2c0 zenon_H44f zenon_H461 zenon_H270 zenon_H505 zenon_H292 zenon_H2e6 zenon_H316 zenon_H360 zenon_H18a zenon_H1fd zenon_H172 zenon_H2f8 zenon_H301 zenon_H32b zenon_H21a zenon_H1cc zenon_H2b9 zenon_H23b zenon_H30e zenon_H375 zenon_H2c2 zenon_H14b zenon_H1a9 zenon_H15f zenon_H1e8 zenon_H204 zenon_H17 zenon_H206 zenon_H179 zenon_H186 zenon_H236 zenon_H2ad zenon_H358 zenon_H13 zenon_H15 zenon_H155 zenon_H154 zenon_H473 zenon_H2a3 zenon_H2a5 zenon_H2a6 zenon_H2b1 zenon_H1b1 zenon_H474 zenon_H1d8 zenon_H1be zenon_H313 zenon_H50d zenon_H202.
% 55.08/55.24 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_H18f. zenon_intro zenon_H198.
% 55.08/55.24 apply (zenon_and_s _ _ zenon_H198). zenon_intro zenon_H293. zenon_intro zenon_H227.
% 55.08/55.24 apply (zenon_and_s _ _ zenon_H227). zenon_intro zenon_H229. zenon_intro zenon_H228.
% 55.08/55.24 apply (zenon_and_s _ _ zenon_H228). zenon_intro zenon_H22b. zenon_intro zenon_H22a.
% 55.08/55.24 apply (zenon_and_s _ _ zenon_H22a). zenon_intro zenon_H224. zenon_intro zenon_H22c.
% 55.08/55.24 apply (zenon_or_s _ _ zenon_H22b); [ zenon_intro zenon_H23c | zenon_intro zenon_H23f ].
% 55.08/55.24 exact (zenon_H23c zenon_H202).
% 55.08/55.24 apply (zenon_or_s _ _ zenon_H224); [ zenon_intro zenon_H1d1 | zenon_intro zenon_H1d1 ].
% 55.08/55.24 apply (zenon_L892_); trivial.
% 55.08/55.24 apply (zenon_L892_); trivial.
% 55.08/55.24 (* end of lemma zenon_L893_ *)
% 55.08/55.24 assert (zenon_L894_ : ((~((op2 (e22) (e23)) = (e22)))\/(~((op2 (e22) (e22)) = (e23)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> ((op2 (e22) (e20)) = (e20)) -> (((op2 (e22) (e22)) = (e20))\/(((op2 (e22) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e22)) = (e23))))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e12))\/((op1 (e11) (e10)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> ((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) -> ((e12) = (op1 (op1 (op1 (e11) (e11)) (op1 (e11) (e11))) (op1 (e11) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((e10) = (e12))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e11)) = (e12))\/((op1 (e10) (e11)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (((op1 (e13) (e13)) = (e10))\/(((op1 (e13) (e13)) = (e11))\/(((op1 (e13) (e13)) = (e12))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (~((e12) = (e13))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> ((((op1 (e10) (e10)) = (e10))/\(((op1 (e10) (e10)) = (e10))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11))))/\(((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12))))/\((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))))))))\/((((op1 (e10) (e11)) = (e10))/\(((op1 (e11) (e10)) = (e10))/\(((~((op1 (e11) (e10)) = (e11)))\/(~((op1 (e11) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e11) (e12)) = (e11)))\/(~((op1 (e11) (e11)) = (e12))))/\((~((op1 (e11) (e13)) = (e11)))\/(~((op1 (e11) (e11)) = (e13)))))))))\/((((op1 (e10) (e12)) = (e10))/\(((op1 (e12) (e10)) = (e10))/\(((~((op1 (e12) (e10)) = (e12)))\/(~((op1 (e12) (e12)) = (e10))))/\(((~((op1 (e12) (e11)) = (e12)))\/(~((op1 (e12) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13)))))))))\/((((op1 (e10) (e13)) = (e10))/\(((op1 (e13) (e10)) = (e10))/\(((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e13) (e13)) = (e10))))/\(((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11))))/\(((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e13) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13)))))))))\/((((op1 (e11) (e10)) = (e11))/\(((op1 (e10) (e11)) = (e11))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11))))/\(((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12))))/\((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))))))))\/((((op1 (e11) (e11)) = (e11))/\(((op1 (e11) (e11)) = (e11))/\(((~((op1 (e11) (e10)) = (e11)))\/(~((op1 (e11) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e11) (e12)) = (e11)))\/(~((op1 (e11) (e11)) = (e12))))/\((~((op1 (e11) (e13)) = (e11)))\/(~((op1 (e11) (e11)) = (e13)))))))))\/((((op1 (e11) (e12)) = (e11))/\(((op1 (e12) (e11)) = (e11))/\(((~((op1 (e12) (e10)) = (e12)))\/(~((op1 (e12) (e12)) = (e10))))/\(((~((op1 (e12) (e11)) = (e12)))\/(~((op1 (e12) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13)))))))))\/((((op1 (e11) (e13)) = (e11))/\(((op1 (e13) (e11)) = (e11))/\(((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e13) (e13)) = (e10))))/\(((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11))))/\(((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e13) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13)))))))))\/((((op1 (e12) (e10)) = (e12))/\(((op1 (e10) (e12)) = (e12))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11))))/\(((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12))))/\((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))))))))\/((((op1 (e12) (e11)) = (e12))/\(((op1 (e11) (e12)) = (e12))/\(((~((op1 (e11) (e10)) = (e11)))\/(~((op1 (e11) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e11) (e12)) = (e11)))\/(~((op1 (e11) (e11)) = (e12))))/\((~((op1 (e11) (e13)) = (e11)))\/(~((op1 (e11) (e11)) = (e13)))))))))\/((((op1 (e12) (e12)) = (e12))/\(((op1 (e12) (e12)) = (e12))/\(((~((op1 (e12) (e10)) = (e12)))\/(~((op1 (e12) (e12)) = (e10))))/\(((~((op1 (e12) (e11)) = (e12)))\/(~((op1 (e12) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13)))))))))\/((((op1 (e12) (e13)) = (e12))/\(((op1 (e13) (e12)) = (e12))/\(((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e13) (e13)) = (e10))))/\(((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11))))/\(((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e13) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13)))))))))\/((((op1 (e13) (e10)) = (e13))/\(((op1 (e10) (e13)) = (e13))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11))))/\(((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12))))/\((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))))))))\/((((op1 (e13) (e11)) = (e13))/\(((op1 (e11) (e13)) = (e13))/\(((~((op1 (e11) (e10)) = (e11)))\/(~((op1 (e11) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e11) (e12)) = (e11)))\/(~((op1 (e11) (e11)) = (e12))))/\((~((op1 (e11) (e13)) = (e11)))\/(~((op1 (e11) (e11)) = (e13)))))))))\/((((op1 (e13) (e12)) = (e13))/\(((op1 (e12) (e13)) = (e13))/\(((~((op1 (e12) (e10)) = (e12)))\/(~((op1 (e12) (e12)) = (e10))))/\(((~((op1 (e12) (e11)) = (e12)))\/(~((op1 (e12) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13)))))))))\/(((op1 (e13) (e13)) = (e13))/\(((op1 (e13) (e13)) = (e13))/\(((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e13) (e13)) = (e10))))/\(((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11))))/\(((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e13) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13)))))))))))))))))))))))) -> ((e10) = (op1 (e11) (e11))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e10)) = (e12))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e13) (e10)) = (e12))))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (((op1 (e10) (e12)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e12)) = (e12))))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> ((op2 (e21) (op2 (e21) (e21))) = (e21)) -> ((e20) = (op2 (e21) (e21))) -> (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> (~((op2 (e22) (e22)) = (e22))) -> (~((e21) = (e22))) -> ((e23) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((e22) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e22) (e22)) = (e21))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (~((h2 (op1 (e12) (e13))) = (op2 (h2 (e12)) (h2 (e13))))) -> ((h2 (e11)) = (e21)) -> ((h2 (e13)) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((h2 (e12)) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e22) (e23)) = (e21))))) -> (((op1 (e10) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e12) (e11)) = (e13))))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e12) (e13)) = (e10))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> ((((op1 (e10) (op1 (e10) (e10))) = (e10))/\(((op1 (e10) (op1 (e10) (e11))) = (e11))/\(((op1 (e10) (op1 (e10) (e12))) = (e12))/\(((op1 (e10) (op1 (e10) (e13))) = (e13))/\(((~((op1 (e10) (e10)) = (e10)))\/((op1 (e10) (e10)) = (e10)))/\(((~((op1 (e11) (e11)) = (e10)))\/((op1 (e11) (e10)) = (e11)))/\(((~((op1 (e12) (e12)) = (e10)))\/((op1 (e12) (e10)) = (e12)))/\((~((op1 (e13) (e13)) = (e10)))\/((op1 (e13) (e10)) = (e13))))))))))\/((((op1 (e11) (op1 (e11) (e10))) = (e10))/\(((op1 (e11) (op1 (e11) (e11))) = (e11))/\(((op1 (e11) (op1 (e11) (e12))) = (e12))/\(((op1 (e11) (op1 (e11) (e13))) = (e13))/\(((~((op1 (e10) (e10)) = (e11)))\/((op1 (e10) (e11)) = (e10)))/\(((~((op1 (e11) (e11)) = (e11)))\/((op1 (e11) (e11)) = (e11)))/\(((~((op1 (e12) (e12)) = (e11)))\/((op1 (e12) (e11)) = (e12)))/\((~((op1 (e13) (e13)) = (e11)))\/((op1 (e13) (e11)) = (e13))))))))))\/((((op1 (e12) (op1 (e12) (e10))) = (e10))/\(((op1 (e12) (op1 (e12) (e11))) = (e11))/\(((op1 (e12) (op1 (e12) (e12))) = (e12))/\(((op1 (e12) (op1 (e12) (e13))) = (e13))/\(((~((op1 (e10) (e10)) = (e12)))\/((op1 (e10) (e12)) = (e10)))/\(((~((op1 (e11) (e11)) = (e12)))\/((op1 (e11) (e12)) = (e11)))/\(((~((op1 (e12) (e12)) = (e12)))\/((op1 (e12) (e12)) = (e12)))/\((~((op1 (e13) (e13)) = (e12)))\/((op1 (e13) (e12)) = (e13))))))))))\/(((op1 (e13) (op1 (e13) (e10))) = (e10))/\(((op1 (e13) (op1 (e13) (e11))) = (e11))/\(((op1 (e13) (op1 (e13) (e12))) = (e12))/\(((op1 (e13) (op1 (e13) (e13))) = (e13))/\(((~((op1 (e10) (e10)) = (e13)))\/((op1 (e10) (e13)) = (e10)))/\(((~((op1 (e11) (e11)) = (e13)))\/((op1 (e11) (e13)) = (e11)))/\(((~((op1 (e12) (e12)) = (e13)))\/((op1 (e12) (e13)) = (e12)))/\((~((op1 (e13) (e13)) = (e13)))\/((op1 (e13) (e13)) = (e13))))))))))))) -> False).
% 55.08/55.24 do 0 intro. intros zenon_Hdf zenon_H37d zenon_H121 zenon_H100 zenon_H15f zenon_H15a zenon_H15 zenon_H155 zenon_H154 zenon_H14b zenon_H186 zenon_H180 zenon_H179 zenon_H172 zenon_H16c zenon_H18a zenon_H18e zenon_H192 zenon_H246 zenon_H19d zenon_H1a0 zenon_H25 zenon_H1e zenon_H17 zenon_H1a9 zenon_H209 zenon_H206 zenon_H204 zenon_H1fd zenon_H1fa zenon_H1f7 zenon_H1f4 zenon_H1ed zenon_H1e8 zenon_H1da zenon_H1d8 zenon_H1cc zenon_H1de zenon_H1b1 zenon_H1be zenon_H20c zenon_H21a zenon_H236 zenon_H23b zenon_H245 zenon_H13 zenon_H4df zenon_H485 zenon_H4c3 zenon_H328 zenon_H510 zenon_H498 zenon_H499 zenon_H33 zenon_Hf1 zenon_Hd7 zenon_H27e zenon_H3b zenon_H3f zenon_Hb0 zenon_H101 zenon_H2ad zenon_H2c2 zenon_H30e zenon_H2b9 zenon_H32b zenon_H301 zenon_H2f8 zenon_H360 zenon_H316 zenon_H2e6 zenon_H505 zenon_H270 zenon_H461 zenon_H44f zenon_H2c0 zenon_H322 zenon_H2e7 zenon_H32e zenon_H358 zenon_H2a3 zenon_H2a5 zenon_H2b1 zenon_H474 zenon_H313 zenon_H50d zenon_H2fd zenon_H2fb zenon_H2f6 zenon_H325 zenon_H321 zenon_H30b zenon_H2ea zenon_H2e2 zenon_H2d9 zenon_H2c9 zenon_H2d1 zenon_H35d zenon_H345 zenon_H355 zenon_H36e.
% 55.08/55.24 apply (zenon_or_s _ _ zenon_Hdf); [ zenon_intro zenon_H281 | zenon_intro zenon_H37f ].
% 55.08/55.24 apply (zenon_or_s _ _ zenon_H36e); [ zenon_intro zenon_H244 | zenon_intro zenon_H36f ].
% 55.08/55.24 apply (zenon_L126_); trivial.
% 55.08/55.24 apply (zenon_or_s _ _ zenon_H36f); [ zenon_intro zenon_H371 | zenon_intro zenon_H370 ].
% 55.08/55.24 apply (zenon_and_s _ _ zenon_H371). zenon_intro zenon_H292. zenon_intro zenon_H372.
% 55.08/55.24 apply (zenon_and_s _ _ zenon_H372). zenon_intro zenon_H2a6. zenon_intro zenon_H373.
% 55.08/55.24 apply (zenon_and_s _ _ zenon_H373). zenon_intro zenon_H375. zenon_intro zenon_H374.
% 55.08/55.24 apply (zenon_and_s _ _ zenon_H374). zenon_intro zenon_H29e. zenon_intro zenon_H376.
% 55.08/55.24 apply (zenon_and_s _ _ zenon_H376). zenon_intro zenon_H378. zenon_intro zenon_H377.
% 55.08/55.24 apply (zenon_and_s _ _ zenon_H377). zenon_intro zenon_H37a. zenon_intro zenon_H379.
% 55.08/55.24 apply (zenon_and_s _ _ zenon_H379). zenon_intro zenon_H37c. zenon_intro zenon_H37b.
% 55.08/55.24 apply (zenon_or_s _ _ zenon_H37a); [ zenon_intro zenon_H473 | zenon_intro zenon_H1a7 ].
% 55.08/55.24 apply (zenon_or_s _ _ zenon_H37c); [ zenon_intro zenon_H23f | zenon_intro zenon_H202 ].
% 55.08/55.24 apply (zenon_or_s _ _ zenon_H37b); [ zenon_intro zenon_H20d | zenon_intro zenon_H1c3 ].
% 55.08/55.24 apply (zenon_or_s _ _ zenon_H245); [ zenon_intro zenon_H147 | zenon_intro zenon_H254 ].
% 55.08/55.24 apply (zenon_L60_); trivial.
% 55.08/55.24 apply (zenon_or_s _ _ zenon_H254); [ zenon_intro zenon_H164 | zenon_intro zenon_H255 ].
% 55.08/55.24 apply (zenon_L66_); trivial.
% 55.08/55.24 apply (zenon_or_s _ _ zenon_H255); [ zenon_intro zenon_H197 | zenon_intro zenon_H256 ].
% 55.08/55.24 apply (zenon_L879_); trivial.
% 55.08/55.24 apply (zenon_or_s _ _ zenon_H256); [ zenon_intro zenon_H199 | zenon_intro zenon_H257 ].
% 55.08/55.24 apply (zenon_L77_); trivial.
% 55.08/55.24 apply (zenon_or_s _ _ zenon_H257); [ zenon_intro zenon_H259 | zenon_intro zenon_H258 ].
% 55.08/55.24 apply (zenon_L884_); trivial.
% 55.08/55.24 apply (zenon_or_s _ _ zenon_H258); [ zenon_intro zenon_H1a5 | zenon_intro zenon_H262 ].
% 55.08/55.24 apply (zenon_L80_); trivial.
% 55.08/55.24 apply (zenon_or_s _ _ zenon_H262); [ zenon_intro zenon_H1ae | zenon_intro zenon_H263 ].
% 55.08/55.24 apply (zenon_L83_); trivial.
% 55.08/55.24 apply (zenon_or_s _ _ zenon_H263); [ zenon_intro zenon_H212 | zenon_intro zenon_H264 ].
% 55.08/55.24 apply (zenon_L161_); trivial.
% 55.08/55.24 apply (zenon_or_s _ _ zenon_H264); [ zenon_intro zenon_H220 | zenon_intro zenon_H265 ].
% 55.08/55.24 apply (zenon_L110_); trivial.
% 55.08/55.24 apply (zenon_or_s _ _ zenon_H265); [ zenon_intro zenon_H222 | zenon_intro zenon_H266 ].
% 55.08/55.24 apply (zenon_L111_); trivial.
% 55.08/55.24 apply (zenon_or_s _ _ zenon_H266); [ zenon_intro zenon_H225 | zenon_intro zenon_H267 ].
% 55.08/55.24 apply (zenon_L113_); trivial.
% 55.08/55.24 apply (zenon_or_s _ _ zenon_H267); [ zenon_intro zenon_H22d | zenon_intro zenon_H268 ].
% 55.08/55.24 apply (zenon_L114_); trivial.
% 55.08/55.24 apply (zenon_or_s _ _ zenon_H268); [ zenon_intro zenon_H230 | zenon_intro zenon_H269 ].
% 55.08/55.24 apply (zenon_L115_); trivial.
% 55.08/55.24 apply (zenon_or_s _ _ zenon_H269); [ zenon_intro zenon_H232 | zenon_intro zenon_H26a ].
% 55.08/55.24 apply (zenon_L116_); trivial.
% 55.08/55.24 apply (zenon_or_s _ _ zenon_H26a); [ zenon_intro zenon_H240 | zenon_intro zenon_H242 ].
% 55.08/55.24 apply (zenon_L166_); trivial.
% 55.08/55.24 apply (zenon_L125_); trivial.
% 55.08/55.24 apply (zenon_or_s _ _ zenon_H245); [ zenon_intro zenon_H147 | zenon_intro zenon_H254 ].
% 55.08/55.24 apply (zenon_L60_); trivial.
% 55.08/55.24 apply (zenon_or_s _ _ zenon_H254); [ zenon_intro zenon_H164 | zenon_intro zenon_H255 ].
% 55.08/55.24 apply (zenon_L66_); trivial.
% 55.08/55.24 apply (zenon_or_s _ _ zenon_H255); [ zenon_intro zenon_H197 | zenon_intro zenon_H256 ].
% 55.08/55.24 apply (zenon_L888_); trivial.
% 55.08/55.24 apply (zenon_or_s _ _ zenon_H256); [ zenon_intro zenon_H199 | zenon_intro zenon_H257 ].
% 55.08/55.24 apply (zenon_L77_); trivial.
% 55.08/55.24 apply (zenon_or_s _ _ zenon_H257); [ zenon_intro zenon_H259 | zenon_intro zenon_H258 ].
% 55.08/55.24 apply (zenon_L884_); trivial.
% 55.08/55.24 apply (zenon_or_s _ _ zenon_H258); [ zenon_intro zenon_H1a5 | zenon_intro zenon_H262 ].
% 55.08/55.24 apply (zenon_L80_); trivial.
% 55.08/55.24 apply (zenon_or_s _ _ zenon_H262); [ zenon_intro zenon_H1ae | zenon_intro zenon_H263 ].
% 55.08/55.24 apply (zenon_L83_); trivial.
% 55.08/55.24 apply (zenon_or_s _ _ zenon_H263); [ zenon_intro zenon_H212 | zenon_intro zenon_H264 ].
% 55.08/55.24 apply (zenon_L167_); trivial.
% 55.08/55.24 apply (zenon_or_s _ _ zenon_H264); [ zenon_intro zenon_H220 | zenon_intro zenon_H265 ].
% 55.08/55.24 apply (zenon_L110_); trivial.
% 55.08/55.24 apply (zenon_or_s _ _ zenon_H265); [ zenon_intro zenon_H222 | zenon_intro zenon_H266 ].
% 55.08/55.24 apply (zenon_L111_); trivial.
% 55.08/55.24 apply (zenon_or_s _ _ zenon_H266); [ zenon_intro zenon_H225 | zenon_intro zenon_H267 ].
% 55.08/55.24 apply (zenon_L113_); trivial.
% 55.08/55.24 apply (zenon_or_s _ _ zenon_H267); [ zenon_intro zenon_H22d | zenon_intro zenon_H268 ].
% 55.08/55.24 apply (zenon_L114_); trivial.
% 55.08/55.24 apply (zenon_or_s _ _ zenon_H268); [ zenon_intro zenon_H230 | zenon_intro zenon_H269 ].
% 55.08/55.24 apply (zenon_L115_); trivial.
% 55.08/55.24 apply (zenon_or_s _ _ zenon_H269); [ zenon_intro zenon_H232 | zenon_intro zenon_H26a ].
% 55.08/55.24 apply (zenon_L116_); trivial.
% 55.08/55.24 apply (zenon_or_s _ _ zenon_H26a); [ zenon_intro zenon_H240 | zenon_intro zenon_H242 ].
% 55.08/55.24 apply (zenon_L166_); trivial.
% 55.08/55.24 apply (zenon_L125_); trivial.
% 55.08/55.24 apply (zenon_or_s _ _ zenon_H245); [ zenon_intro zenon_H147 | zenon_intro zenon_H254 ].
% 55.08/55.24 apply (zenon_L60_); trivial.
% 55.08/55.24 apply (zenon_or_s _ _ zenon_H254); [ zenon_intro zenon_H164 | zenon_intro zenon_H255 ].
% 55.08/55.24 apply (zenon_L66_); trivial.
% 55.08/55.24 apply (zenon_or_s _ _ zenon_H255); [ zenon_intro zenon_H197 | zenon_intro zenon_H256 ].
% 55.08/55.24 apply (zenon_L893_); trivial.
% 55.08/55.24 apply (zenon_or_s _ _ zenon_H256); [ zenon_intro zenon_H199 | zenon_intro zenon_H257 ].
% 55.08/55.24 apply (zenon_L77_); trivial.
% 55.08/55.24 apply (zenon_or_s _ _ zenon_H257); [ zenon_intro zenon_H259 | zenon_intro zenon_H258 ].
% 55.08/55.24 apply (zenon_L884_); trivial.
% 55.08/55.24 apply (zenon_or_s _ _ zenon_H258); [ zenon_intro zenon_H1a5 | zenon_intro zenon_H262 ].
% 55.08/55.24 apply (zenon_L80_); trivial.
% 55.08/55.24 apply (zenon_or_s _ _ zenon_H262); [ zenon_intro zenon_H1ae | zenon_intro zenon_H263 ].
% 55.08/55.24 apply (zenon_L83_); trivial.
% 55.08/55.24 apply (zenon_or_s _ _ zenon_H263); [ zenon_intro zenon_H212 | zenon_intro zenon_H264 ].
% 55.08/55.24 apply (zenon_L169_); trivial.
% 55.08/55.24 apply (zenon_or_s _ _ zenon_H264); [ zenon_intro zenon_H220 | zenon_intro zenon_H265 ].
% 55.08/55.24 apply (zenon_L110_); trivial.
% 55.08/55.24 apply (zenon_or_s _ _ zenon_H265); [ zenon_intro zenon_H222 | zenon_intro zenon_H266 ].
% 55.08/55.24 apply (zenon_L111_); trivial.
% 55.08/55.24 apply (zenon_or_s _ _ zenon_H266); [ zenon_intro zenon_H225 | zenon_intro zenon_H267 ].
% 55.08/55.24 apply (zenon_L113_); trivial.
% 55.08/55.24 apply (zenon_or_s _ _ zenon_H267); [ zenon_intro zenon_H22d | zenon_intro zenon_H268 ].
% 55.08/55.24 apply (zenon_L114_); trivial.
% 55.08/55.24 apply (zenon_or_s _ _ zenon_H268); [ zenon_intro zenon_H230 | zenon_intro zenon_H269 ].
% 55.08/55.24 apply (zenon_L115_); trivial.
% 55.08/55.24 apply (zenon_or_s _ _ zenon_H269); [ zenon_intro zenon_H232 | zenon_intro zenon_H26a ].
% 55.08/55.24 apply (zenon_L116_); trivial.
% 55.08/55.24 apply (zenon_or_s _ _ zenon_H26a); [ zenon_intro zenon_H240 | zenon_intro zenon_H242 ].
% 55.08/55.24 apply (zenon_L166_); trivial.
% 55.08/55.24 apply (zenon_L125_); trivial.
% 55.08/55.24 apply (zenon_L532_); trivial.
% 55.08/55.24 apply (zenon_or_s _ _ zenon_H370); [ zenon_intro zenon_H335 | zenon_intro zenon_H363 ].
% 55.08/55.24 apply (zenon_L260_); trivial.
% 55.08/55.24 apply (zenon_L307_); trivial.
% 55.08/55.24 apply (zenon_L310_); trivial.
% 55.08/55.24 (* end of lemma zenon_L894_ *)
% 55.08/55.24 assert (zenon_L895_ : (((op2 (e20) (e22)) = (e20))/\(((op2 (e22) (e20)) = (e20))/\(((~((op2 (e22) (e20)) = (e22)))\/(~((op2 (e22) (e22)) = (e20))))/\(((~((op2 (e22) (e21)) = (e22)))\/(~((op2 (e22) (e22)) = (e21))))/\(((~((op2 (e22) (e22)) = (e22)))\/(~((op2 (e22) (e22)) = (e22))))/\((~((op2 (e22) (e23)) = (e22)))\/(~((op2 (e22) (e22)) = (e23))))))))) -> ((((op1 (e10) (op1 (e10) (e10))) = (e10))/\(((op1 (e10) (op1 (e10) (e11))) = (e11))/\(((op1 (e10) (op1 (e10) (e12))) = (e12))/\(((op1 (e10) (op1 (e10) (e13))) = (e13))/\(((~((op1 (e10) (e10)) = (e10)))\/((op1 (e10) (e10)) = (e10)))/\(((~((op1 (e11) (e11)) = (e10)))\/((op1 (e11) (e10)) = (e11)))/\(((~((op1 (e12) (e12)) = (e10)))\/((op1 (e12) (e10)) = (e12)))/\((~((op1 (e13) (e13)) = (e10)))\/((op1 (e13) (e10)) = (e13))))))))))\/((((op1 (e11) (op1 (e11) (e10))) = (e10))/\(((op1 (e11) (op1 (e11) (e11))) = (e11))/\(((op1 (e11) (op1 (e11) (e12))) = (e12))/\(((op1 (e11) (op1 (e11) (e13))) = (e13))/\(((~((op1 (e10) (e10)) = (e11)))\/((op1 (e10) (e11)) = (e10)))/\(((~((op1 (e11) (e11)) = (e11)))\/((op1 (e11) (e11)) = (e11)))/\(((~((op1 (e12) (e12)) = (e11)))\/((op1 (e12) (e11)) = (e12)))/\((~((op1 (e13) (e13)) = (e11)))\/((op1 (e13) (e11)) = (e13))))))))))\/((((op1 (e12) (op1 (e12) (e10))) = (e10))/\(((op1 (e12) (op1 (e12) (e11))) = (e11))/\(((op1 (e12) (op1 (e12) (e12))) = (e12))/\(((op1 (e12) (op1 (e12) (e13))) = (e13))/\(((~((op1 (e10) (e10)) = (e12)))\/((op1 (e10) (e12)) = (e10)))/\(((~((op1 (e11) (e11)) = (e12)))\/((op1 (e11) (e12)) = (e11)))/\(((~((op1 (e12) (e12)) = (e12)))\/((op1 (e12) (e12)) = (e12)))/\((~((op1 (e13) (e13)) = (e12)))\/((op1 (e13) (e12)) = (e13))))))))))\/(((op1 (e13) (op1 (e13) (e10))) = (e10))/\(((op1 (e13) (op1 (e13) (e11))) = (e11))/\(((op1 (e13) (op1 (e13) (e12))) = (e12))/\(((op1 (e13) (op1 (e13) (e13))) = (e13))/\(((~((op1 (e10) (e10)) = (e13)))\/((op1 (e10) (e13)) = (e10)))/\(((~((op1 (e11) (e11)) = (e13)))\/((op1 (e11) (e13)) = (e11)))/\(((~((op1 (e12) (e12)) = (e13)))\/((op1 (e12) (e13)) = (e12)))/\((~((op1 (e13) (e13)) = (e13)))\/((op1 (e13) (e13)) = (e13))))))))))))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e12) (e13)) = (e10))))) -> (((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e12) (e11)) = (e13))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e22) (e23)) = (e21))))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> ((h2 (e12)) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> ((h2 (e13)) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((h2 (e11)) = (e21)) -> (~((h2 (op1 (e12) (e13))) = (op2 (h2 (e12)) (h2 (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((op2 (e22) (e22)) = (e21))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> ((e22) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> ((e23) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> (~((e21) = (e22))) -> (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> ((e20) = (op2 (e21) (e21))) -> ((op2 (e21) (op2 (e21) (e21))) = (e21)) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (((op1 (e10) (e12)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e12)) = (e12))))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e10)) = (e12))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e13) (e10)) = (e12))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> ((e10) = (op1 (e11) (e11))) -> ((((op1 (e10) (e10)) = (e10))/\(((op1 (e10) (e10)) = (e10))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11))))/\(((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12))))/\((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))))))))\/((((op1 (e10) (e11)) = (e10))/\(((op1 (e11) (e10)) = (e10))/\(((~((op1 (e11) (e10)) = (e11)))\/(~((op1 (e11) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e11) (e12)) = (e11)))\/(~((op1 (e11) (e11)) = (e12))))/\((~((op1 (e11) (e13)) = (e11)))\/(~((op1 (e11) (e11)) = (e13)))))))))\/((((op1 (e10) (e12)) = (e10))/\(((op1 (e12) (e10)) = (e10))/\(((~((op1 (e12) (e10)) = (e12)))\/(~((op1 (e12) (e12)) = (e10))))/\(((~((op1 (e12) (e11)) = (e12)))\/(~((op1 (e12) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13)))))))))\/((((op1 (e10) (e13)) = (e10))/\(((op1 (e13) (e10)) = (e10))/\(((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e13) (e13)) = (e10))))/\(((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11))))/\(((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e13) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13)))))))))\/((((op1 (e11) (e10)) = (e11))/\(((op1 (e10) (e11)) = (e11))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11))))/\(((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12))))/\((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))))))))\/((((op1 (e11) (e11)) = (e11))/\(((op1 (e11) (e11)) = (e11))/\(((~((op1 (e11) (e10)) = (e11)))\/(~((op1 (e11) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e11) (e12)) = (e11)))\/(~((op1 (e11) (e11)) = (e12))))/\((~((op1 (e11) (e13)) = (e11)))\/(~((op1 (e11) (e11)) = (e13)))))))))\/((((op1 (e11) (e12)) = (e11))/\(((op1 (e12) (e11)) = (e11))/\(((~((op1 (e12) (e10)) = (e12)))\/(~((op1 (e12) (e12)) = (e10))))/\(((~((op1 (e12) (e11)) = (e12)))\/(~((op1 (e12) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13)))))))))\/((((op1 (e11) (e13)) = (e11))/\(((op1 (e13) (e11)) = (e11))/\(((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e13) (e13)) = (e10))))/\(((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11))))/\(((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e13) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13)))))))))\/((((op1 (e12) (e10)) = (e12))/\(((op1 (e10) (e12)) = (e12))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11))))/\(((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12))))/\((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))))))))\/((((op1 (e12) (e11)) = (e12))/\(((op1 (e11) (e12)) = (e12))/\(((~((op1 (e11) (e10)) = (e11)))\/(~((op1 (e11) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e11) (e12)) = (e11)))\/(~((op1 (e11) (e11)) = (e12))))/\((~((op1 (e11) (e13)) = (e11)))\/(~((op1 (e11) (e11)) = (e13)))))))))\/((((op1 (e12) (e12)) = (e12))/\(((op1 (e12) (e12)) = (e12))/\(((~((op1 (e12) (e10)) = (e12)))\/(~((op1 (e12) (e12)) = (e10))))/\(((~((op1 (e12) (e11)) = (e12)))\/(~((op1 (e12) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13)))))))))\/((((op1 (e12) (e13)) = (e12))/\(((op1 (e13) (e12)) = (e12))/\(((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e13) (e13)) = (e10))))/\(((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11))))/\(((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e13) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13)))))))))\/((((op1 (e13) (e10)) = (e13))/\(((op1 (e10) (e13)) = (e13))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11))))/\(((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12))))/\((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))))))))\/((((op1 (e13) (e11)) = (e13))/\(((op1 (e11) (e13)) = (e13))/\(((~((op1 (e11) (e10)) = (e11)))\/(~((op1 (e11) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e11) (e12)) = (e11)))\/(~((op1 (e11) (e11)) = (e12))))/\((~((op1 (e11) (e13)) = (e11)))\/(~((op1 (e11) (e11)) = (e13)))))))))\/((((op1 (e13) (e12)) = (e13))/\(((op1 (e12) (e13)) = (e13))/\(((~((op1 (e12) (e10)) = (e12)))\/(~((op1 (e12) (e12)) = (e10))))/\(((~((op1 (e12) (e11)) = (e12)))\/(~((op1 (e12) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13)))))))))\/(((op1 (e13) (e13)) = (e13))/\(((op1 (e13) (e13)) = (e13))/\(((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e13) (e13)) = (e10))))/\(((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11))))/\(((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e13) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13)))))))))))))))))))))))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((e12) = (e13))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e13) (e13)) = (e10))\/(((op1 (e13) (e13)) = (e11))\/(((op1 (e13) (e13)) = (e12))\/((op1 (e13) (e13)) = (e13))))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (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) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e11)) = (e12))\/((op1 (e10) (e11)) = (e13))))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((e10) = (e12))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> ((e12) = (op1 (op1 (op1 (e11) (e11)) (op1 (e11) (e11))) (op1 (e11) (e11)))) -> ((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e12))\/((op1 (e11) (e10)) = (e13))))) -> (((op2 (e22) (e22)) = (e20))\/(((op2 (e22) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e22)) = (e23))))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> False).
% 55.08/55.24 do 0 intro. intros zenon_H77 zenon_H36e zenon_H355 zenon_H345 zenon_H35d zenon_H2d1 zenon_H2c9 zenon_H2d9 zenon_H2e2 zenon_H2ea zenon_H30b zenon_H321 zenon_H325 zenon_H2f6 zenon_H2fb zenon_H2fd zenon_H50d zenon_H313 zenon_H474 zenon_H2b1 zenon_H2a5 zenon_H2a3 zenon_H358 zenon_H32e zenon_H2e7 zenon_H322 zenon_H2c0 zenon_H44f zenon_H461 zenon_H270 zenon_H505 zenon_H2e6 zenon_H316 zenon_H360 zenon_H2f8 zenon_H301 zenon_H32b zenon_H2b9 zenon_H30e zenon_H2c2 zenon_H2ad zenon_H101 zenon_Hb0 zenon_H3f zenon_H3b zenon_H27e zenon_Hf1 zenon_H33 zenon_H499 zenon_H498 zenon_H510 zenon_H328 zenon_H4c3 zenon_H485 zenon_H4df zenon_H13 zenon_H245 zenon_H23b zenon_H236 zenon_H21a zenon_H20c zenon_H1be zenon_H1b1 zenon_H1de zenon_H1cc zenon_H1d8 zenon_H1da zenon_H1e8 zenon_H1ed zenon_H1f4 zenon_H1f7 zenon_H1fa zenon_H1fd zenon_H204 zenon_H206 zenon_H209 zenon_H1a9 zenon_H17 zenon_H1e zenon_H25 zenon_H1a0 zenon_H19d zenon_H246 zenon_H192 zenon_H18e zenon_H18a zenon_H16c zenon_H172 zenon_H179 zenon_H180 zenon_H186 zenon_H14b zenon_H154 zenon_H155 zenon_H15 zenon_H15a zenon_H15f zenon_H100 zenon_H37d.
% 55.08/55.24 apply (zenon_and_s _ _ zenon_H77). zenon_intro zenon_H57. zenon_intro zenon_H78.
% 55.08/55.24 apply (zenon_and_s _ _ zenon_H78). zenon_intro zenon_H121. zenon_intro zenon_Hda.
% 55.08/55.24 apply (zenon_and_s _ _ zenon_Hda). zenon_intro zenon_Hdc. zenon_intro zenon_Hdb.
% 55.08/55.24 apply (zenon_and_s _ _ zenon_Hdb). zenon_intro zenon_Hde. zenon_intro zenon_Hdd.
% 55.08/55.24 apply (zenon_and_s _ _ zenon_Hdd). zenon_intro zenon_Hd5. zenon_intro zenon_Hdf.
% 55.08/55.24 apply (zenon_or_s _ _ zenon_Hd5); [ zenon_intro zenon_Hd7 | zenon_intro zenon_Hd7 ].
% 55.08/55.24 apply (zenon_L894_); trivial.
% 55.08/55.24 apply (zenon_L894_); trivial.
% 55.08/55.24 (* end of lemma zenon_L895_ *)
% 55.08/55.24 assert (zenon_L896_ : ((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> ((op2 (e20) (e21)) = (e21)) -> (~((op2 (e21) (e20)) = (op2 (e21) (e23)))) -> ((op2 (e21) (e20)) = (e21)) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> ((op1 (e10) (e12)) = (e10)) -> (~((op1 (e12) (e12)) = (e11))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (~((op1 (e12) (e12)) = (e12))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((e12) = (e13))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e11)) = (e12))\/((op1 (e10) (e11)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e12))\/((op1 (e11) (e10)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> ((op1 (e11) (op1 (e11) (e12))) = (e12)) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> ((op1 (e12) (e10)) = (e10)) -> ((op1 (e11) (op1 (e11) (e10))) = (e10)) -> (~((h2 (op1 (e12) (e13))) = (op2 (h2 (e12)) (h2 (e13))))) -> ((h2 (e11)) = (e21)) -> ((e23) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((h2 (e13)) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((e22) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> ((h2 (e12)) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> ((op1 (e11) (op1 (e11) (e13))) = (e13)) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> ((e10) = (op1 (e11) (e11))) -> ((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) -> ((e12) = (op1 (op1 (op1 (e11) (e11)) (op1 (e11) (e11))) (op1 (e11) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e11) (e11)) = (e11))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> ((op1 (e11) (op1 (e11) (e11))) = (e11)) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e12) (e10)) = (e12))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op2 (e23) (e23)) = (e21))) -> (((op2 (e20) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> False).
% 55.08/55.24 do 0 intro. intros zenon_H22c zenon_H3c2 zenon_Hb9 zenon_Hca zenon_H4e zenon_H1a0 zenon_H1e zenon_H1fa zenon_H1de zenon_H18f zenon_H23f zenon_H1da zenon_H1ed zenon_H209 zenon_H15a zenon_H1d1 zenon_H2ad zenon_H236 zenon_H186 zenon_H179 zenon_H206 zenon_H17 zenon_H204 zenon_H1e8 zenon_H15f zenon_H1a9 zenon_H14b zenon_H2c2 zenon_H375 zenon_H30e zenon_H23b zenon_H2b9 zenon_H1cc zenon_H32b zenon_H301 zenon_H2f8 zenon_H172 zenon_H1fd zenon_H18a zenon_H360 zenon_H316 zenon_H2e6 zenon_H293 zenon_H292 zenon_H505 zenon_H270 zenon_H3b zenon_H461 zenon_H3f zenon_H44f zenon_H2c0 zenon_H29e zenon_H322 zenon_H25 zenon_H2e7 zenon_H1f7 zenon_H19d zenon_H180 zenon_H32e zenon_H21a zenon_H358 zenon_H13 zenon_H15 zenon_H155 zenon_H154 zenon_H473 zenon_H2a3 zenon_H2a5 zenon_H2a6 zenon_H2b1 zenon_H1be zenon_H1d8 zenon_H474 zenon_H1b1 zenon_H21f zenon_H313 zenon_H383 zenon_H3e4.
% 55.08/55.24 apply (zenon_or_s _ _ zenon_H22c); [ zenon_intro zenon_H27d | zenon_intro zenon_H29d ].
% 55.08/55.24 apply (zenon_or_s _ _ zenon_H3e4); [ zenon_intro zenon_H3c3 | zenon_intro zenon_H3e5 ].
% 55.08/55.24 apply (zenon_L352_); trivial.
% 55.08/55.24 apply (zenon_or_s _ _ zenon_H3e5); [ zenon_intro zenon_Hcb | zenon_intro zenon_H3e6 ].
% 55.08/55.24 apply (zenon_L36_); trivial.
% 55.08/55.24 apply (zenon_or_s _ _ zenon_H3e6); [ zenon_intro zenon_H3c7 | zenon_intro zenon_H386 ].
% 55.08/55.24 apply (zenon_L868_); trivial.
% 55.08/55.24 exact (zenon_H383 zenon_H386).
% 55.08/55.24 apply (zenon_L144_); trivial.
% 55.08/55.24 (* end of lemma zenon_L896_ *)
% 55.08/55.24 assert (zenon_L897_ : ((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12)))) -> (((op2 (e20) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((op2 (e23) (e23)) = (e21))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e12) (e10)) = (e12))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> ((op1 (e11) (op1 (e11) (e11))) = (e11)) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e11)) = (e11))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> ((e12) = (op1 (op1 (op1 (e11) (e11)) (op1 (e11) (e11))) (op1 (e11) (e11)))) -> ((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) -> ((e10) = (op1 (e11) (e11))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> ((op1 (e11) (op1 (e11) (e13))) = (e13)) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> ((h2 (e12)) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> ((e22) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> ((h2 (e13)) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((e23) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((h2 (e11)) = (e21)) -> (~((h2 (op1 (e12) (e13))) = (op2 (h2 (e12)) (h2 (e13))))) -> ((op1 (e11) (op1 (e11) (e10))) = (e10)) -> ((op1 (e12) (e10)) = (e10)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> ((op1 (e11) (op1 (e11) (e12))) = (e12)) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e12))\/((op1 (e11) (e10)) = (e13))))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e11)) = (e12))\/((op1 (e10) (e11)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((e12) = (e13))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (~((op1 (e12) (e12)) = (e11))) -> ((op1 (e10) (e12)) = (e10)) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> ((op2 (e21) (e20)) = (e21)) -> (~((op2 (e21) (e20)) = (op2 (e21) (e23)))) -> ((op2 (e20) (e21)) = (e21)) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> ((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13)))) -> False).
% 55.08/55.24 do 0 intro. intros zenon_H224 zenon_H3e4 zenon_H383 zenon_H313 zenon_H21f zenon_H1b1 zenon_H474 zenon_H1d8 zenon_H1be zenon_H2b1 zenon_H2a6 zenon_H2a5 zenon_H2a3 zenon_H473 zenon_H154 zenon_H155 zenon_H15 zenon_H13 zenon_H358 zenon_H21a zenon_H32e zenon_H180 zenon_H19d zenon_H1f7 zenon_H2e7 zenon_H25 zenon_H322 zenon_H29e zenon_H2c0 zenon_H44f zenon_H3f zenon_H461 zenon_H3b zenon_H270 zenon_H505 zenon_H292 zenon_H293 zenon_H2e6 zenon_H316 zenon_H360 zenon_H18a zenon_H1fd zenon_H172 zenon_H2f8 zenon_H301 zenon_H32b zenon_H1cc zenon_H2b9 zenon_H23b zenon_H30e zenon_H375 zenon_H2c2 zenon_H14b zenon_H1a9 zenon_H15f zenon_H1e8 zenon_H204 zenon_H17 zenon_H206 zenon_H179 zenon_H186 zenon_H236 zenon_H2ad zenon_H15a zenon_H209 zenon_H1ed zenon_H1da zenon_H23f zenon_H18f zenon_H1de zenon_H1fa zenon_H1e zenon_H1a0 zenon_H4e zenon_Hca zenon_Hb9 zenon_H3c2 zenon_H22c.
% 55.08/55.24 apply (zenon_or_s _ _ zenon_H224); [ zenon_intro zenon_H1d1 | zenon_intro zenon_H1d1 ].
% 55.08/55.24 apply (zenon_L896_); trivial.
% 55.08/55.24 apply (zenon_L896_); trivial.
% 55.08/55.24 (* end of lemma zenon_L897_ *)
% 55.08/55.24 assert (zenon_L898_ : ((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> ((op2 (e20) (e21)) = (e21)) -> (~((op2 (e21) (e20)) = (op2 (e21) (e23)))) -> ((op2 (e21) (e20)) = (e21)) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> ((op1 (e10) (e12)) = (e10)) -> (~((op1 (e12) (e12)) = (e11))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (~((op1 (e12) (e12)) = (e12))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((e12) = (e13))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e11)) = (e12))\/((op1 (e10) (e11)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e12))\/((op1 (e11) (e10)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> ((op1 (e11) (op1 (e11) (e12))) = (e12)) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> ((op1 (e12) (e10)) = (e10)) -> ((op1 (e11) (op1 (e11) (e10))) = (e10)) -> (~((h2 (op1 (e12) (e13))) = (op2 (h2 (e12)) (h2 (e13))))) -> ((h2 (e11)) = (e21)) -> ((e23) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((h2 (e13)) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((e22) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> ((h2 (e12)) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> ((op1 (e11) (op1 (e11) (e13))) = (e13)) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> ((e10) = (op1 (e11) (e11))) -> ((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) -> ((e12) = (op1 (op1 (op1 (e11) (e11)) (op1 (e11) (e11))) (op1 (e11) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e11) (e11)) = (e11))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e12)) = (e10))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> ((op1 (e11) (op1 (e11) (e11))) = (e11)) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e12)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e12)) = (e12))))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op2 (e23) (e23)) = (e21))) -> (((op2 (e20) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> False).
% 55.08/55.24 do 0 intro. intros zenon_H22c zenon_H3c2 zenon_Hb9 zenon_Hca zenon_H4e zenon_H1fa zenon_H1de zenon_H18f zenon_H23f zenon_H1da zenon_H1ed zenon_H209 zenon_H15a zenon_H1d1 zenon_H2ad zenon_H236 zenon_H186 zenon_H179 zenon_H206 zenon_H17 zenon_H204 zenon_H1e8 zenon_H15f zenon_H1a9 zenon_H14b zenon_H2c2 zenon_H375 zenon_H30e zenon_H23b zenon_H2b9 zenon_H1cc zenon_H32b zenon_H301 zenon_H2f8 zenon_H172 zenon_H1fd zenon_H18a zenon_H360 zenon_H316 zenon_H2e6 zenon_H293 zenon_H292 zenon_H505 zenon_H270 zenon_H3b zenon_H461 zenon_H3f zenon_H44f zenon_H2c0 zenon_H29e zenon_H322 zenon_H25 zenon_H2e7 zenon_H1f7 zenon_H19d zenon_H180 zenon_H32e zenon_H21a zenon_H358 zenon_H13 zenon_H15 zenon_H155 zenon_H154 zenon_H473 zenon_H1be zenon_H1d8 zenon_H1db zenon_H1e zenon_H1a0 zenon_H474 zenon_H1b1 zenon_H2b1 zenon_H2a6 zenon_H2a5 zenon_H2a3 zenon_H510 zenon_H313 zenon_H383 zenon_H3e4.
% 55.08/55.24 apply (zenon_or_s _ _ zenon_H22c); [ zenon_intro zenon_H27d | zenon_intro zenon_H29d ].
% 55.08/55.24 apply (zenon_or_s _ _ zenon_H3e4); [ zenon_intro zenon_H3c3 | zenon_intro zenon_H3e5 ].
% 55.08/55.24 apply (zenon_L352_); trivial.
% 55.08/55.24 apply (zenon_or_s _ _ zenon_H3e5); [ zenon_intro zenon_Hcb | zenon_intro zenon_H3e6 ].
% 55.08/55.24 apply (zenon_L36_); trivial.
% 55.08/55.24 apply (zenon_or_s _ _ zenon_H3e6); [ zenon_intro zenon_H3c7 | zenon_intro zenon_H386 ].
% 55.08/55.24 apply (zenon_L877_); trivial.
% 55.08/55.24 exact (zenon_H383 zenon_H386).
% 55.08/55.24 apply (zenon_L144_); trivial.
% 55.08/55.24 (* end of lemma zenon_L898_ *)
% 55.08/55.24 assert (zenon_L899_ : ((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12)))) -> (((op2 (e20) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((op2 (e23) (e23)) = (e21))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> ((e12) = (op1 (op1 (op1 (e11) (e11)) (op1 (e11) (e11))) (op1 (e11) (e11)))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> ((op1 (e11) (op1 (e11) (e13))) = (e13)) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> ((h2 (e12)) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> ((e22) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> ((h2 (e13)) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((e23) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((h2 (e11)) = (e21)) -> (~((h2 (op1 (e12) (e13))) = (op2 (h2 (e12)) (h2 (e13))))) -> ((op1 (e11) (op1 (e11) (e10))) = (e10)) -> ((op1 (e11) (e10)) = (e11)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((e12) = (e13))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> ((op1 (e11) (op1 (e11) (e12))) = (e12)) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e12))\/((op1 (e11) (e10)) = (e13))))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e10)) = (e12))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e13) (e10)) = (e12))))) -> ((op1 (e10) (e11)) = (e11)) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (~((e10) = (e12))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> ((op2 (e21) (e20)) = (e21)) -> (~((op2 (e21) (e20)) = (op2 (e21) (e23)))) -> ((op2 (e20) (e21)) = (e21)) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> ((e10) = (op1 (e11) (e11))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (~((op1 (e10) (e10)) = (e10))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> ((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> ((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))) -> False).
% 55.08/55.24 do 0 intro. intros zenon_H25e zenon_H3e4 zenon_H383 zenon_H14b zenon_H328 zenon_H154 zenon_H155 zenon_H21a zenon_H1f7 zenon_H2e7 zenon_H322 zenon_H29e zenon_H2c0 zenon_H44f zenon_H3f zenon_H461 zenon_H3b zenon_H270 zenon_H505 zenon_H292 zenon_H163 zenon_H2e6 zenon_H316 zenon_H360 zenon_H18a zenon_H1fd zenon_H172 zenon_H2f8 zenon_H301 zenon_H32b zenon_H236 zenon_H1cc zenon_H2b9 zenon_H23b zenon_H2ad zenon_H30e zenon_H375 zenon_H2c2 zenon_H1a9 zenon_H15a zenon_H15f zenon_H1e8 zenon_H4c3 zenon_H1fe zenon_H485 zenon_H16c zenon_H4df zenon_H4e zenon_Hca zenon_Hb9 zenon_H3c2 zenon_H246 zenon_H13 zenon_H19d zenon_H146 zenon_H1a0 zenon_H25 zenon_H1e zenon_H15 zenon_H17 zenon_H25d.
% 55.08/55.24 apply (zenon_or_s _ _ zenon_H25e); [ zenon_intro zenon_H458 | zenon_intro zenon_H4c4 ].
% 55.08/55.24 apply (zenon_L629_); trivial.
% 55.08/55.24 apply (zenon_or_s _ _ zenon_H25d); [ zenon_intro zenon_H25f | zenon_intro zenon_H1a1 ].
% 55.08/55.24 apply (zenon_or_s _ _ zenon_H3e4); [ zenon_intro zenon_H3c3 | zenon_intro zenon_H3e5 ].
% 55.08/55.24 apply (zenon_L352_); trivial.
% 55.08/55.24 apply (zenon_or_s _ _ zenon_H3e5); [ zenon_intro zenon_Hcb | zenon_intro zenon_H3e6 ].
% 55.08/55.24 apply (zenon_L36_); trivial.
% 55.08/55.24 apply (zenon_or_s _ _ zenon_H3e6); [ zenon_intro zenon_H3c7 | zenon_intro zenon_H386 ].
% 55.08/55.24 apply (zenon_L882_); trivial.
% 55.08/55.24 exact (zenon_H383 zenon_H386).
% 55.08/55.24 apply (zenon_L79_); trivial.
% 55.08/55.24 (* end of lemma zenon_L899_ *)
% 55.08/55.24 assert (zenon_L900_ : (((op1 (e11) (e10)) = (e11))/\(((op1 (e10) (e11)) = (e11))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11))))/\(((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12))))/\((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13))))))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> ((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> ((e10) = (op1 (e11) (e11))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> ((op2 (e20) (e21)) = (e21)) -> (~((op2 (e21) (e20)) = (op2 (e21) (e23)))) -> ((op2 (e21) (e20)) = (e21)) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (~((e10) = (e12))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e10)) = (e12))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e13) (e10)) = (e12))))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e12))\/((op1 (e11) (e10)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> ((op1 (e11) (op1 (e11) (e12))) = (e12)) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((e12) = (e13))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> ((op1 (e11) (op1 (e11) (e10))) = (e10)) -> (~((h2 (op1 (e12) (e13))) = (op2 (h2 (e12)) (h2 (e13))))) -> ((h2 (e11)) = (e21)) -> ((e23) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((h2 (e13)) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((e22) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> ((h2 (e12)) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> ((op1 (e11) (op1 (e11) (e13))) = (e13)) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> ((e12) = (op1 (op1 (op1 (e11) (e11)) (op1 (e11) (e11))) (op1 (e11) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (~((op2 (e23) (e23)) = (e21))) -> (((op2 (e20) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> False).
% 55.08/55.24 do 0 intro. intros zenon_H259 zenon_H17 zenon_H15 zenon_H1e zenon_H25 zenon_H1a0 zenon_H19d zenon_H13 zenon_H246 zenon_H3c2 zenon_Hb9 zenon_Hca zenon_H4e zenon_H4df zenon_H16c zenon_H485 zenon_H4c3 zenon_H1e8 zenon_H15f zenon_H15a zenon_H1a9 zenon_H2c2 zenon_H375 zenon_H30e zenon_H2ad zenon_H23b zenon_H2b9 zenon_H1cc zenon_H236 zenon_H32b zenon_H301 zenon_H2f8 zenon_H172 zenon_H1fd zenon_H18a zenon_H360 zenon_H316 zenon_H2e6 zenon_H292 zenon_H505 zenon_H270 zenon_H3b zenon_H461 zenon_H3f zenon_H44f zenon_H2c0 zenon_H29e zenon_H322 zenon_H2e7 zenon_H1f7 zenon_H21a zenon_H155 zenon_H154 zenon_H328 zenon_H14b zenon_H383 zenon_H3e4.
% 55.08/55.24 apply (zenon_and_s _ _ zenon_H259). zenon_intro zenon_H163. zenon_intro zenon_H25a.
% 55.08/55.24 apply (zenon_and_s _ _ zenon_H25a). zenon_intro zenon_H1fe. zenon_intro zenon_H149.
% 55.08/55.24 apply (zenon_and_s _ _ zenon_H149). zenon_intro zenon_H144. zenon_intro zenon_H14a.
% 55.08/55.24 apply (zenon_and_s _ _ zenon_H14a). zenon_intro zenon_H25c. zenon_intro zenon_H25b.
% 55.08/55.24 apply (zenon_and_s _ _ zenon_H25b). zenon_intro zenon_H25e. zenon_intro zenon_H25d.
% 55.08/55.24 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_H146 | zenon_intro zenon_H146 ].
% 55.08/55.24 apply (zenon_L899_); trivial.
% 55.08/55.24 apply (zenon_L899_); trivial.
% 55.08/55.24 (* end of lemma zenon_L900_ *)
% 55.08/55.24 assert (zenon_L901_ : ((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13)))) -> (~((op1 (e12) (e12)) = (e10))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> ((op2 (e20) (e21)) = (e21)) -> (~((op2 (e21) (e20)) = (op2 (e21) (e23)))) -> ((op2 (e21) (e20)) = (e21)) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> ((op1 (e13) (e11)) = (e13)) -> (~((op1 (e11) (e11)) = (e11))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> ((e12) = (op1 (op1 (op1 (e11) (e11)) (op1 (e11) (e11))) (op1 (e11) (e11)))) -> ((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) -> ((e10) = (op1 (e11) (e11))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> ((op1 (e11) (op1 (e11) (e13))) = (e13)) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> ((h2 (e12)) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> ((e22) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> ((h2 (e13)) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((e23) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((h2 (e11)) = (e21)) -> (~((h2 (op1 (e12) (e13))) = (op2 (h2 (e12)) (h2 (e13))))) -> ((op1 (e11) (op1 (e11) (e10))) = (e10)) -> ((op1 (e12) (e10)) = (e10)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> ((op1 (e11) (op1 (e11) (e12))) = (e12)) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e12))\/((op1 (e11) (e10)) = (e13))))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e11)) = (e12))\/((op1 (e10) (e11)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((e12) = (e13))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e12) (e12)) = (e12))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (~((op1 (e12) (e12)) = (e11))) -> ((op1 (e10) (e12)) = (e10)) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op2 (e23) (e23)) = (e21))) -> (((op2 (e20) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> False).
% 55.08/55.24 do 0 intro. intros zenon_H22c zenon_H1db zenon_H3c2 zenon_Hb9 zenon_Hca zenon_H4e zenon_H474 zenon_H1c3 zenon_H473 zenon_H154 zenon_H155 zenon_H15 zenon_H13 zenon_H358 zenon_H21a zenon_H32e zenon_H180 zenon_H19d zenon_H1f7 zenon_H2e7 zenon_H25 zenon_H322 zenon_H29e zenon_H2c0 zenon_H44f zenon_H3f zenon_H461 zenon_H3b zenon_H270 zenon_H505 zenon_H292 zenon_H293 zenon_H2e6 zenon_H316 zenon_H360 zenon_H18a zenon_H1fd zenon_H172 zenon_H2f8 zenon_H301 zenon_H32b zenon_H1cc zenon_H2b9 zenon_H23b zenon_H30e zenon_H375 zenon_H2c2 zenon_H14b zenon_H1a9 zenon_H15f zenon_H1e8 zenon_H204 zenon_H17 zenon_H206 zenon_H179 zenon_H186 zenon_H236 zenon_H2ad zenon_H1d1 zenon_H15a zenon_H209 zenon_H1ed zenon_H1da zenon_H23f zenon_H18f zenon_H1de zenon_H1fa zenon_H383 zenon_H3e4.
% 55.08/55.24 apply (zenon_or_s _ _ zenon_H22c); [ zenon_intro zenon_H27d | zenon_intro zenon_H29d ].
% 55.08/55.24 apply (zenon_or_s _ _ zenon_H3e4); [ zenon_intro zenon_H3c3 | zenon_intro zenon_H3e5 ].
% 55.08/55.24 apply (zenon_L352_); trivial.
% 55.08/55.24 apply (zenon_or_s _ _ zenon_H3e5); [ zenon_intro zenon_Hcb | zenon_intro zenon_H3e6 ].
% 55.08/55.24 apply (zenon_L36_); trivial.
% 55.08/55.24 apply (zenon_or_s _ _ zenon_H3e6); [ zenon_intro zenon_H3c7 | zenon_intro zenon_H386 ].
% 55.08/55.24 apply (zenon_L885_); trivial.
% 55.08/55.24 exact (zenon_H383 zenon_H386).
% 55.08/55.24 apply (zenon_L183_); trivial.
% 55.08/55.24 (* end of lemma zenon_L901_ *)
% 55.08/55.24 assert (zenon_L902_ : ((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> ((op2 (e20) (e21)) = (e21)) -> (~((op2 (e21) (e20)) = (op2 (e21) (e23)))) -> ((op2 (e21) (e20)) = (e21)) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> ((op1 (e10) (e12)) = (e10)) -> (~((op1 (e12) (e12)) = (e11))) -> (~((op1 (e12) (e12)) = (e12))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> ((op1 (e11) (op1 (e11) (e13))) = (e13)) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> ((h2 (e12)) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> ((e22) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> ((h2 (e13)) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((e23) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((h2 (e11)) = (e21)) -> (~((h2 (op1 (e12) (e13))) = (op2 (h2 (e12)) (h2 (e13))))) -> ((op1 (e11) (op1 (e11) (e10))) = (e10)) -> ((op1 (e12) (e10)) = (e10)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> ((op1 (e11) (op1 (e11) (e12))) = (e12)) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e12))\/((op1 (e11) (e10)) = (e13))))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e11)) = (e12))\/((op1 (e10) (e11)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> ((op1 (e12) (e11)) = (e12)) -> (~((e12) = (e13))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> ((e10) = (op1 (e11) (e11))) -> ((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) -> ((e12) = (op1 (op1 (op1 (e11) (e11)) (op1 (e11) (e11))) (op1 (e11) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e11) (e11)) = (e11))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> ((op1 (e11) (op1 (e11) (e11))) = (e11)) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op2 (e23) (e23)) = (e21))) -> (((op2 (e20) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> False).
% 55.08/55.24 do 0 intro. intros zenon_H22c zenon_H3c2 zenon_Hb9 zenon_Hca zenon_H4e zenon_H1a0 zenon_H1e zenon_H1fa zenon_H1de zenon_H18f zenon_H23f zenon_H1d1 zenon_H1da zenon_H1ed zenon_H15a zenon_H32e zenon_H180 zenon_H19d zenon_H1f7 zenon_H2e7 zenon_H25 zenon_H322 zenon_H29e zenon_H2c0 zenon_H44f zenon_H3f zenon_H461 zenon_H3b zenon_H270 zenon_H505 zenon_H292 zenon_H293 zenon_H2e6 zenon_H316 zenon_H360 zenon_H18a zenon_H1fd zenon_H172 zenon_H2f8 zenon_H301 zenon_H32b zenon_H21a zenon_H1cc zenon_H2b9 zenon_H23b zenon_H30e zenon_H375 zenon_H2c2 zenon_H14b zenon_H1a9 zenon_H15f zenon_H1e8 zenon_H204 zenon_H17 zenon_H206 zenon_H179 zenon_H186 zenon_H202 zenon_H236 zenon_H2ad zenon_H358 zenon_H13 zenon_H15 zenon_H155 zenon_H154 zenon_H473 zenon_H2a3 zenon_H2a5 zenon_H2a6 zenon_H2b1 zenon_H1b1 zenon_H474 zenon_H1d8 zenon_H1be zenon_H313 zenon_H383 zenon_H3e4.
% 55.08/55.24 apply (zenon_or_s _ _ zenon_H22c); [ zenon_intro zenon_H27d | zenon_intro zenon_H29d ].
% 55.08/55.24 apply (zenon_or_s _ _ zenon_H3e4); [ zenon_intro zenon_H3c3 | zenon_intro zenon_H3e5 ].
% 55.08/55.24 apply (zenon_L352_); trivial.
% 55.08/55.24 apply (zenon_or_s _ _ zenon_H3e5); [ zenon_intro zenon_Hcb | zenon_intro zenon_H3e6 ].
% 55.08/55.24 apply (zenon_L36_); trivial.
% 55.08/55.24 apply (zenon_or_s _ _ zenon_H3e6); [ zenon_intro zenon_H3c7 | zenon_intro zenon_H386 ].
% 55.08/55.24 apply (zenon_L891_); trivial.
% 55.08/55.24 exact (zenon_H383 zenon_H386).
% 55.08/55.24 apply (zenon_L144_); trivial.
% 55.08/55.24 (* end of lemma zenon_L902_ *)
% 55.08/55.24 assert (zenon_L903_ : ((((op1 (e10) (e10)) = (e10))/\(((op1 (e10) (e10)) = (e10))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11))))/\(((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12))))/\((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))))))))\/((((op1 (e10) (e11)) = (e10))/\(((op1 (e11) (e10)) = (e10))/\(((~((op1 (e11) (e10)) = (e11)))\/(~((op1 (e11) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e11) (e12)) = (e11)))\/(~((op1 (e11) (e11)) = (e12))))/\((~((op1 (e11) (e13)) = (e11)))\/(~((op1 (e11) (e11)) = (e13)))))))))\/((((op1 (e10) (e12)) = (e10))/\(((op1 (e12) (e10)) = (e10))/\(((~((op1 (e12) (e10)) = (e12)))\/(~((op1 (e12) (e12)) = (e10))))/\(((~((op1 (e12) (e11)) = (e12)))\/(~((op1 (e12) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13)))))))))\/((((op1 (e10) (e13)) = (e10))/\(((op1 (e13) (e10)) = (e10))/\(((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e13) (e13)) = (e10))))/\(((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11))))/\(((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e13) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13)))))))))\/((((op1 (e11) (e10)) = (e11))/\(((op1 (e10) (e11)) = (e11))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11))))/\(((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12))))/\((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))))))))\/((((op1 (e11) (e11)) = (e11))/\(((op1 (e11) (e11)) = (e11))/\(((~((op1 (e11) (e10)) = (e11)))\/(~((op1 (e11) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e11) (e12)) = (e11)))\/(~((op1 (e11) (e11)) = (e12))))/\((~((op1 (e11) (e13)) = (e11)))\/(~((op1 (e11) (e11)) = (e13)))))))))\/((((op1 (e11) (e12)) = (e11))/\(((op1 (e12) (e11)) = (e11))/\(((~((op1 (e12) (e10)) = (e12)))\/(~((op1 (e12) (e12)) = (e10))))/\(((~((op1 (e12) (e11)) = (e12)))\/(~((op1 (e12) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13)))))))))\/((((op1 (e11) (e13)) = (e11))/\(((op1 (e13) (e11)) = (e11))/\(((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e13) (e13)) = (e10))))/\(((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11))))/\(((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e13) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13)))))))))\/((((op1 (e12) (e10)) = (e12))/\(((op1 (e10) (e12)) = (e12))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11))))/\(((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12))))/\((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))))))))\/((((op1 (e12) (e11)) = (e12))/\(((op1 (e11) (e12)) = (e12))/\(((~((op1 (e11) (e10)) = (e11)))\/(~((op1 (e11) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e11) (e12)) = (e11)))\/(~((op1 (e11) (e11)) = (e12))))/\((~((op1 (e11) (e13)) = (e11)))\/(~((op1 (e11) (e11)) = (e13)))))))))\/((((op1 (e12) (e12)) = (e12))/\(((op1 (e12) (e12)) = (e12))/\(((~((op1 (e12) (e10)) = (e12)))\/(~((op1 (e12) (e12)) = (e10))))/\(((~((op1 (e12) (e11)) = (e12)))\/(~((op1 (e12) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13)))))))))\/((((op1 (e12) (e13)) = (e12))/\(((op1 (e13) (e12)) = (e12))/\(((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e13) (e13)) = (e10))))/\(((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11))))/\(((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e13) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13)))))))))\/((((op1 (e13) (e10)) = (e13))/\(((op1 (e10) (e13)) = (e13))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11))))/\(((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12))))/\((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))))))))\/((((op1 (e13) (e11)) = (e13))/\(((op1 (e11) (e13)) = (e13))/\(((~((op1 (e11) (e10)) = (e11)))\/(~((op1 (e11) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e11) (e12)) = (e11)))\/(~((op1 (e11) (e11)) = (e12))))/\((~((op1 (e11) (e13)) = (e11)))\/(~((op1 (e11) (e11)) = (e13)))))))))\/((((op1 (e13) (e12)) = (e13))/\(((op1 (e12) (e13)) = (e13))/\(((~((op1 (e12) (e10)) = (e12)))\/(~((op1 (e12) (e12)) = (e10))))/\(((~((op1 (e12) (e11)) = (e12)))\/(~((op1 (e12) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13)))))))))\/(((op1 (e13) (e13)) = (e13))/\(((op1 (e13) (e13)) = (e13))/\(((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e13) (e13)) = (e10))))/\(((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11))))/\(((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e13) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13)))))))))))))))))))))))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> ((op1 (e11) (op1 (e11) (e11))) = (e11)) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e11)) = (e11))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (((op2 (e20) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((op2 (e23) (e23)) = (e21))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> ((h2 (e12)) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> ((e22) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> ((h2 (e13)) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((e23) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((h2 (e11)) = (e21)) -> (~((h2 (op1 (e12) (e13))) = (op2 (h2 (e12)) (h2 (e13))))) -> ((op1 (e11) (op1 (e11) (e10))) = (e10)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((e12) = (e13))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> ((op1 (e11) (op1 (e11) (e12))) = (e12)) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e10)) = (e12))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e13) (e10)) = (e12))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (~((e10) = (e12))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> ((op2 (e21) (e20)) = (e21)) -> (~((op2 (e21) (e20)) = (op2 (e21) (e23)))) -> ((op2 (e20) (e21)) = (e21)) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e11)) = (e12))\/((op1 (e10) (e11)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> ((op1 (e12) (e11)) = (e12)) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e12))\/((op1 (e11) (e10)) = (e13))))) -> ((e12) = (op1 (op1 (op1 (e11) (e11)) (op1 (e11) (e11))) (op1 (e11) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> ((op1 (e11) (op1 (e11) (e13))) = (e13)) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> ((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) -> ((e10) = (op1 (e11) (e11))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> False).
% 55.08/55.24 do 0 intro. intros zenon_H245 zenon_H313 zenon_H1be zenon_H1d8 zenon_H474 zenon_H1b1 zenon_H2b1 zenon_H2a6 zenon_H2a5 zenon_H2a3 zenon_H473 zenon_H358 zenon_H32e zenon_H1ed zenon_H1da zenon_H1de zenon_H1fa zenon_H3e4 zenon_H383 zenon_H328 zenon_H1f7 zenon_H2e7 zenon_H322 zenon_H44f zenon_H3f zenon_H461 zenon_H3b zenon_H270 zenon_H505 zenon_H292 zenon_H2e6 zenon_H316 zenon_H360 zenon_H18a zenon_H2f8 zenon_H301 zenon_H32b zenon_H236 zenon_H1cc zenon_H23b zenon_H2ad zenon_H30e zenon_H375 zenon_H1e8 zenon_H4c3 zenon_H485 zenon_H16c zenon_H4df zenon_H4e zenon_Hca zenon_Hb9 zenon_H3c2 zenon_H246 zenon_H1a0 zenon_H1e zenon_H1a9 zenon_H180 zenon_H172 zenon_H206 zenon_H19d zenon_H1fd zenon_H202 zenon_H204 zenon_H17 zenon_H186 zenon_H21a zenon_H179 zenon_H25 zenon_H15f zenon_H155 zenon_H154 zenon_H14b zenon_H29e zenon_H2c0 zenon_H1f4 zenon_H15 zenon_H13 zenon_H2b9 zenon_H15a zenon_H2c2.
% 55.08/55.24 apply (zenon_or_s _ _ zenon_H245); [ zenon_intro zenon_H147 | zenon_intro zenon_H254 ].
% 55.08/55.24 apply (zenon_L60_); trivial.
% 55.08/55.24 apply (zenon_or_s _ _ zenon_H254); [ zenon_intro zenon_H164 | zenon_intro zenon_H255 ].
% 55.08/55.24 apply (zenon_L66_); trivial.
% 55.08/55.24 apply (zenon_or_s _ _ zenon_H255); [ zenon_intro zenon_H197 | zenon_intro zenon_H256 ].
% 55.08/55.24 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_H18f. zenon_intro zenon_H198.
% 55.08/55.24 apply (zenon_and_s _ _ zenon_H198). zenon_intro zenon_H293. zenon_intro zenon_H227.
% 55.08/55.24 apply (zenon_and_s _ _ zenon_H227). zenon_intro zenon_H229. zenon_intro zenon_H228.
% 55.08/55.24 apply (zenon_and_s _ _ zenon_H228). zenon_intro zenon_H22b. zenon_intro zenon_H22a.
% 55.08/55.24 apply (zenon_and_s _ _ zenon_H22a). zenon_intro zenon_H224. zenon_intro zenon_H22c.
% 55.08/55.24 apply (zenon_or_s _ _ zenon_H22b); [ zenon_intro zenon_H23c | zenon_intro zenon_H23f ].
% 55.08/55.24 exact (zenon_H23c zenon_H202).
% 55.08/55.24 apply (zenon_or_s _ _ zenon_H224); [ zenon_intro zenon_H1d1 | zenon_intro zenon_H1d1 ].
% 55.08/55.24 apply (zenon_L902_); trivial.
% 55.08/55.24 apply (zenon_L902_); trivial.
% 55.08/55.24 apply (zenon_or_s _ _ zenon_H256); [ zenon_intro zenon_H199 | zenon_intro zenon_H257 ].
% 55.08/55.24 apply (zenon_L77_); trivial.
% 55.08/55.24 apply (zenon_or_s _ _ zenon_H257); [ zenon_intro zenon_H259 | zenon_intro zenon_H258 ].
% 55.08/55.24 apply (zenon_L900_); trivial.
% 55.08/55.24 apply (zenon_or_s _ _ zenon_H258); [ zenon_intro zenon_H1a5 | zenon_intro zenon_H262 ].
% 55.08/55.24 apply (zenon_L80_); trivial.
% 55.08/55.24 apply (zenon_or_s _ _ zenon_H262); [ zenon_intro zenon_H1ae | zenon_intro zenon_H263 ].
% 55.08/55.24 apply (zenon_L83_); trivial.
% 55.08/55.24 apply (zenon_or_s _ _ zenon_H263); [ zenon_intro zenon_H212 | zenon_intro zenon_H264 ].
% 55.08/55.24 apply (zenon_L169_); trivial.
% 55.08/55.24 apply (zenon_or_s _ _ zenon_H264); [ zenon_intro zenon_H220 | zenon_intro zenon_H265 ].
% 55.08/55.24 apply (zenon_L110_); trivial.
% 55.08/55.24 apply (zenon_or_s _ _ zenon_H265); [ zenon_intro zenon_H222 | zenon_intro zenon_H266 ].
% 55.08/55.24 apply (zenon_L111_); trivial.
% 55.08/55.24 apply (zenon_or_s _ _ zenon_H266); [ zenon_intro zenon_H225 | zenon_intro zenon_H267 ].
% 55.08/55.24 apply (zenon_L113_); trivial.
% 55.08/55.24 apply (zenon_or_s _ _ zenon_H267); [ zenon_intro zenon_H22d | zenon_intro zenon_H268 ].
% 55.08/55.24 apply (zenon_L114_); trivial.
% 55.08/55.24 apply (zenon_or_s _ _ zenon_H268); [ zenon_intro zenon_H230 | zenon_intro zenon_H269 ].
% 55.08/55.24 apply (zenon_L115_); trivial.
% 55.08/55.24 apply (zenon_or_s _ _ zenon_H269); [ zenon_intro zenon_H232 | zenon_intro zenon_H26a ].
% 55.08/55.24 apply (zenon_L116_); trivial.
% 55.08/55.24 apply (zenon_or_s _ _ zenon_H26a); [ zenon_intro zenon_H240 | zenon_intro zenon_H242 ].
% 55.08/55.24 apply (zenon_L166_); trivial.
% 55.08/55.24 apply (zenon_L125_); trivial.
% 55.08/55.24 (* end of lemma zenon_L903_ *)
% 55.08/55.24 assert (zenon_L904_ : (~((op2 (e21) (e21)) = (op2 (e22) (e20)))) -> ((op2 (e21) (op2 (e21) (e20))) = (e20)) -> ((op2 (e21) (e20)) = (e21)) -> ((op2 (e22) (e20)) = (e20)) -> False).
% 55.08/55.24 do 0 intro. intros zenon_H513 zenon_H514 zenon_H4e zenon_H121.
% 55.08/55.24 cut (((op2 (e21) (op2 (e21) (e20))) = (e20)) = ((op2 (e21) (e21)) = (op2 (e22) (e20)))).
% 55.08/55.24 intro zenon_D_pnotp.
% 55.08/55.24 apply zenon_H513.
% 55.08/55.24 rewrite <- zenon_D_pnotp.
% 55.08/55.24 exact zenon_H514.
% 55.08/55.24 cut (((e20) = (op2 (e22) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H122].
% 55.08/55.24 cut (((op2 (e21) (op2 (e21) (e20))) = (op2 (e21) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H515].
% 55.08/55.24 congruence.
% 55.08/55.24 elim (classic ((op2 (e21) (e21)) = (op2 (e21) (e21)))); [ zenon_intro zenon_H3a0 | zenon_intro zenon_H35 ].
% 55.08/55.24 cut (((op2 (e21) (e21)) = (op2 (e21) (e21))) = ((op2 (e21) (op2 (e21) (e20))) = (op2 (e21) (e21)))).
% 55.08/55.24 intro zenon_D_pnotp.
% 55.08/55.24 apply zenon_H515.
% 55.08/55.24 rewrite <- zenon_D_pnotp.
% 55.08/55.24 exact zenon_H3a0.
% 55.08/55.24 cut (((op2 (e21) (e21)) = (op2 (e21) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H35].
% 55.08/55.24 cut (((op2 (e21) (e21)) = (op2 (e21) (op2 (e21) (e20))))); [idtac | apply NNPP; zenon_intro zenon_H516].
% 55.08/55.24 congruence.
% 55.08/55.24 cut (((e21) = (op2 (e21) (e20)))); [idtac | apply NNPP; zenon_intro zenon_Hc7].
% 55.08/55.24 cut (((e21) = (e21))); [idtac | apply NNPP; zenon_intro zenon_H26e].
% 55.08/55.24 congruence.
% 55.08/55.24 apply zenon_H26e. apply refl_equal.
% 55.08/55.24 apply zenon_Hc7. apply sym_equal. exact zenon_H4e.
% 55.08/55.24 apply zenon_H35. apply refl_equal.
% 55.08/55.24 apply zenon_H35. apply refl_equal.
% 55.08/55.24 apply zenon_H122. apply sym_equal. exact zenon_H121.
% 55.08/55.24 (* end of lemma zenon_L904_ *)
% 55.08/55.24 assert (zenon_L905_ : ((e20) = (op2 (e21) (e21))) -> ((op2 (e22) (e23)) = (e20)) -> ((op2 (e21) (op2 (e21) (e20))) = (e20)) -> ((op2 (e22) (e20)) = (e20)) -> ((op2 (e21) (e20)) = (e21)) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> False).
% 55.08/55.24 do 0 intro. intros zenon_H33 zenon_H118 zenon_H514 zenon_H121 zenon_H4e zenon_H517.
% 55.08/55.24 elim (classic ((op2 (e22) (e23)) = (op2 (e22) (e23)))); [ zenon_intro zenon_H38a | zenon_intro zenon_H38b ].
% 55.08/55.24 cut (((op2 (e22) (e23)) = (op2 (e22) (e23))) = ((op2 (e22) (e20)) = (op2 (e22) (e23)))).
% 55.08/55.24 intro zenon_D_pnotp.
% 55.08/55.24 apply zenon_H517.
% 55.08/55.24 rewrite <- zenon_D_pnotp.
% 55.08/55.24 exact zenon_H38a.
% 55.08/55.24 cut (((op2 (e22) (e23)) = (op2 (e22) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H38b].
% 55.08/55.24 cut (((op2 (e22) (e23)) = (op2 (e22) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H518].
% 55.08/55.24 congruence.
% 55.08/55.24 cut (((e20) = (op2 (e21) (e21))) = ((op2 (e22) (e23)) = (op2 (e22) (e20)))).
% 55.08/55.24 intro zenon_D_pnotp.
% 55.08/55.24 apply zenon_H518.
% 55.08/55.24 rewrite <- zenon_D_pnotp.
% 55.08/55.24 exact zenon_H33.
% 55.08/55.24 cut (((op2 (e21) (e21)) = (op2 (e22) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H513].
% 55.08/55.24 cut (((e20) = (op2 (e22) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H119].
% 55.08/55.24 congruence.
% 55.08/55.24 elim (classic ((op2 (e22) (e23)) = (op2 (e22) (e23)))); [ zenon_intro zenon_H38a | zenon_intro zenon_H38b ].
% 55.08/55.24 cut (((op2 (e22) (e23)) = (op2 (e22) (e23))) = ((e20) = (op2 (e22) (e23)))).
% 55.08/55.24 intro zenon_D_pnotp.
% 55.08/55.24 apply zenon_H119.
% 55.08/55.24 rewrite <- zenon_D_pnotp.
% 55.08/55.24 exact zenon_H38a.
% 55.08/55.24 cut (((op2 (e22) (e23)) = (op2 (e22) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H38b].
% 55.08/55.24 cut (((op2 (e22) (e23)) = (e20))); [idtac | apply NNPP; zenon_intro zenon_H519].
% 55.08/55.24 congruence.
% 55.08/55.24 exact (zenon_H519 zenon_H118).
% 55.08/55.24 apply zenon_H38b. apply refl_equal.
% 55.08/55.24 apply zenon_H38b. apply refl_equal.
% 55.08/55.24 apply (zenon_L904_); trivial.
% 55.08/55.24 apply zenon_H38b. apply refl_equal.
% 55.08/55.24 apply zenon_H38b. apply refl_equal.
% 55.08/55.24 (* end of lemma zenon_L905_ *)
% 55.08/55.24 assert (zenon_L906_ : (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e12)) = (e12))) -> (~((op1 (e12) (e12)) = (e11))) -> ((op1 (e10) (e12)) = (e10)) -> ((op1 (e12) (e10)) = (e10)) -> ((op1 (e11) (op1 (e11) (e10))) = (e10)) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> ((op1 (e12) (e11)) = (e12)) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((h2 (op1 (e12) (e13))) = (op2 (h2 (e12)) (h2 (e13))))) -> ((h2 (e11)) = (e21)) -> ((op2 (e22) (e23)) = (e21)) -> ((h2 (e12)) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> ((e22) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> ((h2 (e13)) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((e23) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((e12) = (e13))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> ((op1 (e11) (op1 (e11) (e12))) = (e12)) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e11)) = (e12))\/((op1 (e10) (e11)) = (e13))))) -> (~((op1 (e12) (e13)) = (e12))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e11) (e11)) = (e11))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> ((e10) = (op1 (e11) (e11))) -> ((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> ((e12) = (op1 (op1 (op1 (e11) (e11)) (op1 (e11) (e11))) (op1 (e11) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e12))\/((op1 (e11) (e10)) = (e13))))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> ((op1 (e11) (op1 (e11) (e13))) = (e13)) -> ((op1 (e13) (e11)) = (e13)) -> False).
% 55.08/55.24 do 0 intro. intros zenon_H474 zenon_H1cc zenon_H1d1 zenon_H23f zenon_H18f zenon_H293 zenon_H292 zenon_H1de zenon_H1da zenon_H1ed zenon_H186 zenon_H2c0 zenon_H32e zenon_H17 zenon_H204 zenon_H202 zenon_H1f7 zenon_H1e8 zenon_H2b9 zenon_H505 zenon_H270 zenon_H3c7 zenon_H44f zenon_H3f zenon_H461 zenon_H3b zenon_H2e6 zenon_H322 zenon_H2e7 zenon_H2ad zenon_H236 zenon_H21a zenon_H23b zenon_H360 zenon_H2f8 zenon_H1fd zenon_H301 zenon_H316 zenon_H25 zenon_H32b zenon_H2c2 zenon_H375 zenon_H30e zenon_H19d zenon_H206 zenon_H27d zenon_H172 zenon_H179 zenon_H180 zenon_H358 zenon_H1fa zenon_H473 zenon_H15a zenon_H13 zenon_H15 zenon_H154 zenon_H155 zenon_H1a9 zenon_H14b zenon_H15f zenon_H18a zenon_H29e zenon_H1c3.
% 55.08/55.24 apply (zenon_or_s _ _ zenon_H474); [ zenon_intro zenon_H163 | zenon_intro zenon_H475 ].
% 55.08/55.24 apply (zenon_L889_); trivial.
% 55.08/55.24 apply (zenon_or_s _ _ zenon_H475); [ zenon_intro zenon_H1a7 | zenon_intro zenon_H476 ].
% 55.08/55.24 exact (zenon_H473 zenon_H1a7).
% 55.08/55.24 apply (zenon_or_s _ _ zenon_H476); [ zenon_intro zenon_H1a8 | zenon_intro zenon_H214 ].
% 55.08/55.24 apply (zenon_L82_); trivial.
% 55.08/55.24 apply (zenon_L149_); trivial.
% 55.08/55.24 (* end of lemma zenon_L906_ *)
% 55.08/55.24 assert (zenon_L907_ : (((op2 (e22) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e22) (e23)) = (e23))))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> ((op2 (e21) (e20)) = (e21)) -> ((op2 (e22) (e20)) = (e20)) -> ((op2 (e21) (op2 (e21) (e20))) = (e20)) -> ((op1 (e13) (e11)) = (e13)) -> ((op1 (e11) (op1 (e11) (e13))) = (e13)) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e12))\/((op1 (e11) (e10)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> ((e12) = (op1 (op1 (op1 (e11) (e11)) (op1 (e11) (e11))) (op1 (e11) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> ((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) -> ((e10) = (op1 (e11) (e11))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (~((op1 (e11) (e11)) = (e11))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e12) (e13)) = (e12))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e11)) = (e12))\/((op1 (e10) (e11)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> ((op1 (e11) (op1 (e11) (e12))) = (e12)) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (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) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (~((e12) = (e13))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> ((h2 (e13)) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((h2 (e12)) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> ((h2 (e11)) = (e21)) -> (~((h2 (op1 (e12) (e13))) = (op2 (h2 (e12)) (h2 (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> ((op1 (e12) (e11)) = (e12)) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> ((op1 (e11) (op1 (e11) (e10))) = (e10)) -> ((op1 (e12) (e10)) = (e10)) -> ((op1 (e10) (e12)) = (e10)) -> (~((op1 (e12) (e12)) = (e11))) -> (~((op1 (e12) (e12)) = (e12))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> ((op2 (e23) (e20)) = (e22)) -> ((op2 (e21) (e22)) = (e22)) -> ((e23) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((e20) = (op2 (e21) (e21))) -> ((op2 (e20) (e23)) = (e22)) -> ((e22) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> ((op2 (e21) (op2 (e21) (e23))) = (e23)) -> ((op2 (e21) (e23)) = (e23)) -> False).
% 55.08/55.24 do 0 intro. intros zenon_H3ee zenon_H517 zenon_H4e zenon_H121 zenon_H514 zenon_H1c3 zenon_H29e zenon_H18a zenon_H15f zenon_H14b zenon_H1a9 zenon_H155 zenon_H154 zenon_H15 zenon_H13 zenon_H15a zenon_H473 zenon_H1fa zenon_H358 zenon_H180 zenon_H179 zenon_H172 zenon_H27d zenon_H206 zenon_H19d zenon_H30e zenon_H375 zenon_H2c2 zenon_H32b zenon_H25 zenon_H316 zenon_H301 zenon_H1fd zenon_H2f8 zenon_H360 zenon_H23b zenon_H21a zenon_H236 zenon_H2ad zenon_H2e7 zenon_H322 zenon_H2e6 zenon_H461 zenon_H44f zenon_H270 zenon_H505 zenon_H2b9 zenon_H1e8 zenon_H1f7 zenon_H202 zenon_H204 zenon_H17 zenon_H32e zenon_H2c0 zenon_H186 zenon_H1ed zenon_H1da zenon_H1de zenon_H292 zenon_H293 zenon_H18f zenon_H23f zenon_H1d1 zenon_H1cc zenon_H474 zenon_H116 zenon_H58 zenon_Hd4 zenon_H3b zenon_H33 zenon_H464 zenon_H3f zenon_H394 zenon_H395 zenon_He9.
% 55.08/55.24 apply (zenon_or_s _ _ zenon_H3ee); [ zenon_intro zenon_H118 | zenon_intro zenon_H3ef ].
% 55.08/55.24 apply (zenon_L905_); trivial.
% 55.08/55.24 apply (zenon_or_s _ _ zenon_H3ef); [ zenon_intro zenon_H3c7 | zenon_intro zenon_H3f0 ].
% 55.08/55.24 apply (zenon_L906_); trivial.
% 55.08/55.24 apply (zenon_or_s _ _ zenon_H3f0); [ zenon_intro zenon_He2 | zenon_intro zenon_Heb ].
% 55.08/55.24 apply (zenon_L682_); trivial.
% 55.08/55.24 apply (zenon_L326_); trivial.
% 55.08/55.24 (* end of lemma zenon_L907_ *)
% 55.08/55.24 assert (zenon_L908_ : (((op2 (e21) (e20)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/((op2 (e21) (e23)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> ((op2 (e23) (e21)) = (e23)) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> ((op2 (e21) (op2 (e21) (e22))) = (e22)) -> (((op2 (e22) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e22) (e23)) = (e23))))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> ((op2 (e21) (e20)) = (e21)) -> ((op2 (e22) (e20)) = (e20)) -> ((op2 (e21) (op2 (e21) (e20))) = (e20)) -> ((op1 (e13) (e11)) = (e13)) -> ((op1 (e11) (op1 (e11) (e13))) = (e13)) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e12))\/((op1 (e11) (e10)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> ((e12) = (op1 (op1 (op1 (e11) (e11)) (op1 (e11) (e11))) (op1 (e11) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> ((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) -> ((e10) = (op1 (e11) (e11))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (~((op1 (e11) (e11)) = (e11))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e12) (e13)) = (e12))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e11)) = (e12))\/((op1 (e10) (e11)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> ((op1 (e11) (op1 (e11) (e12))) = (e12)) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (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) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (~((e12) = (e13))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> ((h2 (e13)) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((h2 (e12)) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> ((h2 (e11)) = (e21)) -> (~((h2 (op1 (e12) (e13))) = (op2 (h2 (e12)) (h2 (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> ((op1 (e12) (e11)) = (e12)) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> ((op1 (e11) (op1 (e11) (e10))) = (e10)) -> ((op1 (e12) (e10)) = (e10)) -> ((op1 (e10) (e12)) = (e10)) -> (~((op1 (e12) (e12)) = (e11))) -> (~((op1 (e12) (e12)) = (e12))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> ((op2 (e23) (e20)) = (e22)) -> ((op2 (e21) (e22)) = (e22)) -> ((e23) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((e20) = (op2 (e21) (e21))) -> ((op2 (e20) (e23)) = (e22)) -> ((e22) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> ((op2 (e21) (op2 (e21) (e23))) = (e23)) -> False).
% 55.08/55.24 do 0 intro. intros zenon_H399 zenon_H45 zenon_He8 zenon_H3af zenon_H9f zenon_H3b4 zenon_H3a8 zenon_H481 zenon_H3ee zenon_H517 zenon_H4e zenon_H121 zenon_H514 zenon_H1c3 zenon_H29e zenon_H18a zenon_H15f zenon_H14b zenon_H1a9 zenon_H155 zenon_H154 zenon_H15 zenon_H13 zenon_H15a zenon_H473 zenon_H1fa zenon_H358 zenon_H180 zenon_H179 zenon_H172 zenon_H27d zenon_H206 zenon_H19d zenon_H30e zenon_H375 zenon_H2c2 zenon_H32b zenon_H25 zenon_H316 zenon_H301 zenon_H1fd zenon_H2f8 zenon_H360 zenon_H23b zenon_H21a zenon_H236 zenon_H2ad zenon_H2e7 zenon_H322 zenon_H2e6 zenon_H461 zenon_H44f zenon_H270 zenon_H505 zenon_H2b9 zenon_H1e8 zenon_H1f7 zenon_H202 zenon_H204 zenon_H17 zenon_H32e zenon_H2c0 zenon_H186 zenon_H1ed zenon_H1da zenon_H1de zenon_H292 zenon_H293 zenon_H18f zenon_H23f zenon_H1d1 zenon_H1cc zenon_H474 zenon_H116 zenon_H58 zenon_Hd4 zenon_H3b zenon_H33 zenon_H464 zenon_H3f zenon_H394 zenon_H395.
% 55.08/55.24 apply (zenon_or_s _ _ zenon_H399); [ zenon_intro zenon_H44 | zenon_intro zenon_H39a ].
% 55.08/55.24 apply (zenon_L10_); trivial.
% 55.08/55.24 apply (zenon_or_s _ _ zenon_H39a); [ zenon_intro zenon_H388 | zenon_intro zenon_H39b ].
% 55.08/55.24 apply (zenon_or_s _ _ zenon_H3b4); [ zenon_intro zenon_H9e | zenon_intro zenon_H3b5 ].
% 55.08/55.24 apply (zenon_L27_); trivial.
% 55.08/55.24 apply (zenon_or_s _ _ zenon_H3b5); [ zenon_intro zenon_He9 | zenon_intro zenon_H3b6 ].
% 55.08/55.24 apply (zenon_L907_); trivial.
% 55.08/55.24 apply (zenon_or_s _ _ zenon_H3b6); [ zenon_intro zenon_Heb | zenon_intro zenon_H106 ].
% 55.08/55.24 apply (zenon_L323_); trivial.
% 55.08/55.24 apply (zenon_L340_); trivial.
% 55.08/55.24 apply (zenon_or_s _ _ zenon_H39b); [ zenon_intro zenon_H38e | zenon_intro zenon_He9 ].
% 55.08/55.24 apply (zenon_L516_); trivial.
% 55.08/55.24 apply (zenon_L907_); trivial.
% 55.08/55.24 (* end of lemma zenon_L908_ *)
% 55.08/55.24 assert (zenon_L909_ : (((op2 (e21) (e20)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/((op2 (e21) (e23)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> ((e22) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> ((e20) = (op2 (e21) (e21))) -> ((e23) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> ((op2 (e20) (e21)) = (e21)) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> (((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e21)) = (e22))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> ((op2 (e20) (e23)) = (e22)) -> ((op2 (e21) (op2 (e21) (e22))) = (e22)) -> (~((op2 (e21) (e22)) = (op2 (e21) (e23)))) -> ((op2 (e21) (op2 (e21) (e23))) = (e23)) -> ((op2 (e21) (e23)) = (e22)) -> False).
% 55.08/55.24 do 0 intro. intros zenon_H399 zenon_H45 zenon_H3af zenon_H3f zenon_H33 zenon_H3b zenon_H60 zenon_H282 zenon_Hb9 zenon_H39d zenon_H3b1 zenon_H116 zenon_H9f zenon_H3b4 zenon_H3a8 zenon_H464 zenon_H481 zenon_H47a zenon_H395 zenon_H478.
% 55.08/55.24 apply (zenon_or_s _ _ zenon_H399); [ zenon_intro zenon_H44 | zenon_intro zenon_H39a ].
% 55.08/55.24 apply (zenon_L10_); trivial.
% 55.08/55.24 apply (zenon_or_s _ _ zenon_H39a); [ zenon_intro zenon_H388 | zenon_intro zenon_H39b ].
% 55.08/55.24 apply (zenon_L573_); trivial.
% 55.08/55.24 apply (zenon_or_s _ _ zenon_H39b); [ zenon_intro zenon_H38e | zenon_intro zenon_He9 ].
% 55.08/55.24 apply (zenon_L516_); trivial.
% 55.08/55.24 apply (zenon_L512_); trivial.
% 55.08/55.24 (* end of lemma zenon_L909_ *)
% 55.08/55.24 assert (zenon_L910_ : (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (((op2 (e21) (e20)) = (e20))\/(((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e20)) = (e22))\/((op2 (e21) (e20)) = (e23))))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e21) (e21)) = (op2 (e21) (e22)))) -> (((op2 (e21) (e22)) = (e20))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e22)) = (e23))))) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> ((op2 (e23) (e20)) = (e22)) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e12)) = (e12))) -> (~((op1 (e12) (e12)) = (e11))) -> ((op1 (e10) (e12)) = (e10)) -> ((op1 (e12) (e10)) = (e10)) -> ((op1 (e11) (op1 (e11) (e10))) = (e10)) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> ((op1 (e12) (e11)) = (e12)) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((h2 (op1 (e12) (e13))) = (op2 (h2 (e12)) (h2 (e13))))) -> ((h2 (e11)) = (e21)) -> ((h2 (e12)) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> ((h2 (e13)) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((e12) = (e13))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> ((op1 (e11) (op1 (e11) (e12))) = (e12)) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e11)) = (e12))\/((op1 (e10) (e11)) = (e13))))) -> (~((op1 (e12) (e13)) = (e12))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e11) (e11)) = (e11))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> ((e10) = (op1 (e11) (e11))) -> ((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> ((e12) = (op1 (op1 (op1 (e11) (e11)) (op1 (e11) (e11))) (op1 (e11) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e12))\/((op1 (e11) (e10)) = (e13))))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> ((op1 (e11) (op1 (e11) (e13))) = (e13)) -> ((op1 (e13) (e11)) = (e13)) -> ((op2 (e21) (op2 (e21) (e20))) = (e20)) -> ((op2 (e22) (e20)) = (e20)) -> ((op2 (e21) (e20)) = (e21)) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> (((op2 (e22) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e22) (e23)) = (e23))))) -> ((op2 (e23) (e21)) = (e23)) -> (((op2 (e21) (e20)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/((op2 (e21) (e23)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> ((e22) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> ((e20) = (op2 (e21) (e21))) -> ((e23) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> ((op2 (e20) (e21)) = (e21)) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> (((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e21)) = (e22))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> ((op2 (e20) (e23)) = (e22)) -> ((op2 (e21) (op2 (e21) (e22))) = (e22)) -> (~((op2 (e21) (e22)) = (op2 (e21) (e23)))) -> ((op2 (e21) (op2 (e21) (e23))) = (e23)) -> False).
% 55.08/55.24 do 0 intro. intros zenon_H4ae zenon_H437 zenon_H4a zenon_H32 zenon_Hc5 zenon_H3e zenon_H7a zenon_H40f zenon_H394 zenon_H58 zenon_H474 zenon_H1cc zenon_H1d1 zenon_H23f zenon_H18f zenon_H293 zenon_H292 zenon_H1de zenon_H1da zenon_H1ed zenon_H186 zenon_H2c0 zenon_H32e zenon_H17 zenon_H204 zenon_H202 zenon_H1f7 zenon_H1e8 zenon_H2b9 zenon_H505 zenon_H270 zenon_H44f zenon_H461 zenon_H2e6 zenon_H322 zenon_H2e7 zenon_H2ad zenon_H236 zenon_H21a zenon_H23b zenon_H360 zenon_H2f8 zenon_H1fd zenon_H301 zenon_H316 zenon_H25 zenon_H32b zenon_H2c2 zenon_H375 zenon_H30e zenon_H19d zenon_H206 zenon_H27d zenon_H172 zenon_H179 zenon_H180 zenon_H358 zenon_H1fa zenon_H473 zenon_H15a zenon_H13 zenon_H15 zenon_H154 zenon_H155 zenon_H1a9 zenon_H14b zenon_H15f zenon_H18a zenon_H29e zenon_H1c3 zenon_H514 zenon_H121 zenon_H4e zenon_H517 zenon_H3ee zenon_He8 zenon_H399 zenon_H45 zenon_H3af zenon_H3f zenon_H33 zenon_H3b zenon_H60 zenon_H282 zenon_Hb9 zenon_H39d zenon_H3b1 zenon_H116 zenon_H9f zenon_H3b4 zenon_H3a8 zenon_H464 zenon_H481 zenon_H47a zenon_H395.
% 55.08/55.24 apply (zenon_or_s _ _ zenon_H4ae); [ zenon_intro zenon_H40 | zenon_intro zenon_H4af ].
% 55.08/55.24 apply (zenon_L8_); trivial.
% 55.08/55.24 apply (zenon_or_s _ _ zenon_H4af); [ zenon_intro zenon_H401 | zenon_intro zenon_H4b0 ].
% 55.08/55.24 apply (zenon_or_s _ _ zenon_H40f); [ zenon_intro zenon_H79 | zenon_intro zenon_H410 ].
% 55.08/55.24 apply (zenon_L20_); trivial.
% 55.08/55.24 apply (zenon_or_s _ _ zenon_H410); [ zenon_intro zenon_Hc4 | zenon_intro zenon_H411 ].
% 55.08/55.24 apply (zenon_L34_); trivial.
% 55.08/55.24 apply (zenon_or_s _ _ zenon_H411); [ zenon_intro zenon_Hd4 | zenon_intro zenon_H38e ].
% 55.08/55.24 apply (zenon_L908_); trivial.
% 55.08/55.24 apply (zenon_L449_); trivial.
% 55.08/55.24 apply (zenon_or_s _ _ zenon_H4b0); [ zenon_intro zenon_Hd4 | zenon_intro zenon_H478 ].
% 55.08/55.24 apply (zenon_L908_); trivial.
% 55.08/55.24 apply (zenon_L909_); trivial.
% 55.08/55.24 (* end of lemma zenon_L910_ *)
% 55.08/55.24 assert (zenon_L911_ : ((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13)))) -> (~((op2 (e20) (e20)) = (e20))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> ((e20) = (op2 (e21) (e21))) -> (((op2 (e20) (e20)) = (e22))\/(((op2 (e21) (e20)) = (e22))\/(((op2 (e22) (e20)) = (e22))\/((op2 (e23) (e20)) = (e22))))) -> (~((op2 (e20) (e23)) = (e20))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> ((op2 (e20) (e21)) = (e21)) -> (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e21)) = (e22))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e21) (e22)) = (op2 (e21) (e23)))) -> (~((op2 (e21) (e21)) = (op2 (e21) (e22)))) -> (((op2 (e21) (e20)) = (e20))\/(((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e20)) = (e22))\/((op2 (e21) (e20)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> (((op2 (e21) (e20)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/((op2 (e21) (e23)) = (e23))))) -> ((op2 (e21) (op2 (e21) (e22))) = (e22)) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (((op2 (e22) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e22) (e23)) = (e23))))) -> ((op2 (e21) (op2 (e21) (e23))) = (e23)) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> ((op1 (e10) (e12)) = (e10)) -> (~((op1 (e12) (e12)) = (e11))) -> (~((op1 (e12) (e12)) = (e12))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> ((op1 (e11) (op1 (e11) (e13))) = (e13)) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> ((h2 (e12)) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> ((h2 (e13)) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((h2 (e11)) = (e21)) -> (~((h2 (op1 (e12) (e13))) = (op2 (h2 (e12)) (h2 (e13))))) -> ((op1 (e11) (op1 (e11) (e10))) = (e10)) -> ((op1 (e12) (e10)) = (e10)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> ((op1 (e11) (op1 (e11) (e12))) = (e12)) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e12))\/((op1 (e11) (e10)) = (e13))))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e11)) = (e12))\/((op1 (e10) (e11)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> ((op1 (e12) (e11)) = (e12)) -> (~((e12) = (e13))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> ((e10) = (op1 (e11) (e11))) -> ((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) -> ((e12) = (op1 (op1 (op1 (e11) (e11)) (op1 (e11) (e11))) (op1 (e11) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e11) (e11)) = (e11))) -> ((op1 (e13) (e11)) = (e13)) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> ((op2 (e21) (op2 (e21) (e20))) = (e20)) -> ((op2 (e21) (e20)) = (e21)) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> ((op2 (e23) (e21)) = (e23)) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (((op2 (e21) (e22)) = (e20))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e22)) = (e23))))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> ((e23) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((e22) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e20) (e20)) = (e22))) -> (((op2 (e23) (e20)) = (e22))\/(((op2 (e23) (e21)) = (e22))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (~((e20) = (e22))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e20)) = (e20))\/(((op2 (e22) (e20)) = (e20))\/((op2 (e23) (e20)) = (e20))))) -> False).
% 55.08/55.24 do 0 intro. intros zenon_H22c zenon_H31 zenon_H32 zenon_H33 zenon_Hb7 zenon_Had zenon_H3c2 zenon_Hb9 zenon_H4ae zenon_H39d zenon_H282 zenon_H60 zenon_H3b1 zenon_H47a zenon_H7a zenon_H4a zenon_H45 zenon_Hc5 zenon_H399 zenon_H481 zenon_H3a8 zenon_H9f zenon_H3ee zenon_H395 zenon_H394 zenon_H116 zenon_H1fa zenon_H1de zenon_H18f zenon_H23f zenon_H1d1 zenon_H1da zenon_H1ed zenon_H15a zenon_H32e zenon_H180 zenon_H19d zenon_H1f7 zenon_H2e7 zenon_H25 zenon_H322 zenon_H29e zenon_H2c0 zenon_H44f zenon_H461 zenon_H270 zenon_H505 zenon_H292 zenon_H293 zenon_H2e6 zenon_H316 zenon_H360 zenon_H18a zenon_H1fd zenon_H172 zenon_H2f8 zenon_H301 zenon_H32b zenon_H21a zenon_H1cc zenon_H2b9 zenon_H23b zenon_H30e zenon_H375 zenon_H2c2 zenon_H14b zenon_H1a9 zenon_H15f zenon_H1e8 zenon_H204 zenon_H17 zenon_H206 zenon_H179 zenon_H186 zenon_H202 zenon_H236 zenon_H2ad zenon_H358 zenon_H13 zenon_H15 zenon_H155 zenon_H154 zenon_H473 zenon_H1c3 zenon_H474 zenon_H514 zenon_H4e zenon_H517 zenon_H3af zenon_He8 zenon_H3b4 zenon_H437 zenon_H40f zenon_H489 zenon_Hb0 zenon_H3b zenon_H3f zenon_H3e zenon_Hbd zenon_H74 zenon_H6e zenon_H67 zenon_H4e2 zenon_H4e6.
% 55.08/55.24 apply (zenon_or_s _ _ zenon_H22c); [ zenon_intro zenon_H27d | zenon_intro zenon_H29d ].
% 55.08/55.24 apply (zenon_or_s _ _ zenon_H4e6); [ zenon_intro zenon_H2d | zenon_intro zenon_H4e7 ].
% 55.08/55.24 exact (zenon_H31 zenon_H2d).
% 55.08/55.24 apply (zenon_or_s _ _ zenon_H4e7); [ zenon_intro zenon_H34 | zenon_intro zenon_H4e8 ].
% 55.08/55.24 apply (zenon_L6_); trivial.
% 55.08/55.24 apply (zenon_or_s _ _ zenon_H4e8); [ zenon_intro zenon_H121 | zenon_intro zenon_H80 ].
% 55.08/55.24 apply (zenon_or_s _ _ zenon_Hb7); [ zenon_intro zenon_Hbf | zenon_intro zenon_Hbe ].
% 55.08/55.24 exact (zenon_Hbd zenon_Hbf).
% 55.08/55.24 apply (zenon_or_s _ _ zenon_Hbe); [ zenon_intro zenon_H40 | zenon_intro zenon_Hc0 ].
% 55.08/55.24 apply (zenon_L8_); trivial.
% 55.08/55.24 apply (zenon_or_s _ _ zenon_Hc0); [ zenon_intro zenon_Hb1 | zenon_intro zenon_H58 ].
% 55.08/55.24 apply (zenon_L30_); trivial.
% 55.08/55.24 apply (zenon_or_s _ _ zenon_H489); [ zenon_intro zenon_H8b | zenon_intro zenon_H48a ].
% 55.08/55.24 exact (zenon_Had zenon_H8b).
% 55.08/55.24 apply (zenon_or_s _ _ zenon_H48a); [ zenon_intro zenon_H3c3 | zenon_intro zenon_H48b ].
% 55.08/55.24 apply (zenon_L352_); trivial.
% 55.08/55.24 apply (zenon_or_s _ _ zenon_H48b); [ zenon_intro zenon_H464 | zenon_intro zenon_H9e ].
% 55.08/55.24 apply (zenon_L910_); trivial.
% 55.08/55.24 apply (zenon_L27_); trivial.
% 55.08/55.24 apply (zenon_L736_); trivial.
% 55.08/55.24 apply (zenon_L144_); trivial.
% 55.08/55.24 (* end of lemma zenon_L911_ *)
% 55.08/55.24 assert (zenon_L912_ : (((op2 (e22) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e22) (e23)) = (e23))))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> ((op2 (e21) (e20)) = (e21)) -> ((op2 (e22) (e20)) = (e20)) -> ((op2 (e21) (op2 (e21) (e20))) = (e20)) -> (~((e10) = (e12))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> ((e12) = (op1 (op1 (op1 (e11) (e11)) (op1 (e11) (e11))) (op1 (e11) (e11)))) -> ((e10) = (op1 (e11) (e11))) -> ((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e10) (e10)) = (e12))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e10)) = (e12))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e13) (e10)) = (e12))))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (e10))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> ((op1 (e11) (op1 (e11) (e12))) = (e12)) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (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 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> ((op1 (e10) (e11)) = (e11)) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((e12) = (e13))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> ((op1 (e11) (e10)) = (e11)) -> ((op1 (e11) (op1 (e11) (e10))) = (e10)) -> ((h2 (e13)) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((h2 (e12)) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> ((h2 (e11)) = (e21)) -> (~((h2 (op1 (e12) (e13))) = (op2 (h2 (e12)) (h2 (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> ((op1 (e11) (op1 (e11) (e13))) = (e13)) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e12))\/((op1 (e11) (e10)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e10)) = (e10))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> ((op2 (e23) (e20)) = (e22)) -> ((op2 (e21) (e22)) = (e22)) -> ((e23) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((e20) = (op2 (e21) (e21))) -> ((op2 (e20) (e23)) = (e22)) -> ((e22) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> ((op2 (e21) (op2 (e21) (e23))) = (e23)) -> ((op2 (e21) (e23)) = (e23)) -> False).
% 55.08/55.25 do 0 intro. intros zenon_H3ee zenon_H517 zenon_H4e zenon_H121 zenon_H514 zenon_H16c zenon_H21a zenon_H155 zenon_H13 zenon_H15 zenon_H154 zenon_H4c4 zenon_H4c3 zenon_H328 zenon_H25f zenon_H485 zenon_H30e zenon_H375 zenon_H2c2 zenon_H15a zenon_H32b zenon_H316 zenon_H301 zenon_H18a zenon_H172 zenon_H1fd zenon_H1fe zenon_H2f8 zenon_H1cc zenon_H360 zenon_H23b zenon_H236 zenon_H2ad zenon_H2e7 zenon_H322 zenon_H2e6 zenon_H163 zenon_H292 zenon_H461 zenon_H44f zenon_H270 zenon_H505 zenon_H2b9 zenon_H2c0 zenon_H29e zenon_H15f zenon_H14b zenon_H1a9 zenon_H1e8 zenon_H1f7 zenon_H25 zenon_H146 zenon_H4df zenon_H116 zenon_H58 zenon_Hd4 zenon_H3b zenon_H33 zenon_H464 zenon_H3f zenon_H394 zenon_H395 zenon_He9.
% 55.08/55.25 apply (zenon_or_s _ _ zenon_H3ee); [ zenon_intro zenon_H118 | zenon_intro zenon_H3ef ].
% 55.08/55.25 apply (zenon_L905_); trivial.
% 55.08/55.25 apply (zenon_or_s _ _ zenon_H3ef); [ zenon_intro zenon_H3c7 | zenon_intro zenon_H3f0 ].
% 55.08/55.25 apply (zenon_L882_); trivial.
% 55.08/55.25 apply (zenon_or_s _ _ zenon_H3f0); [ zenon_intro zenon_He2 | zenon_intro zenon_Heb ].
% 55.08/55.25 apply (zenon_L682_); trivial.
% 55.08/55.25 apply (zenon_L326_); trivial.
% 55.08/55.25 (* end of lemma zenon_L912_ *)
% 55.08/55.25 assert (zenon_L913_ : (((op2 (e21) (e20)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/((op2 (e21) (e23)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> ((op2 (e23) (e21)) = (e23)) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> ((op2 (e21) (op2 (e21) (e22))) = (e22)) -> (((op2 (e22) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e22) (e23)) = (e23))))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> ((op2 (e21) (e20)) = (e21)) -> ((op2 (e22) (e20)) = (e20)) -> ((op2 (e21) (op2 (e21) (e20))) = (e20)) -> (~((e10) = (e12))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> ((e12) = (op1 (op1 (op1 (e11) (e11)) (op1 (e11) (e11))) (op1 (e11) (e11)))) -> ((e10) = (op1 (e11) (e11))) -> ((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e10) (e10)) = (e12))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e10)) = (e12))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e13) (e10)) = (e12))))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (e10))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> ((op1 (e11) (op1 (e11) (e12))) = (e12)) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (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 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> ((op1 (e10) (e11)) = (e11)) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((e12) = (e13))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> ((op1 (e11) (e10)) = (e11)) -> ((op1 (e11) (op1 (e11) (e10))) = (e10)) -> ((h2 (e13)) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((h2 (e12)) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> ((h2 (e11)) = (e21)) -> (~((h2 (op1 (e12) (e13))) = (op2 (h2 (e12)) (h2 (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> ((op1 (e11) (op1 (e11) (e13))) = (e13)) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e12))\/((op1 (e11) (e10)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e10)) = (e10))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> ((op2 (e23) (e20)) = (e22)) -> ((op2 (e21) (e22)) = (e22)) -> ((e23) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((e20) = (op2 (e21) (e21))) -> ((op2 (e20) (e23)) = (e22)) -> ((e22) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> ((op2 (e21) (op2 (e21) (e23))) = (e23)) -> False).
% 55.08/55.25 do 0 intro. intros zenon_H399 zenon_H45 zenon_He8 zenon_H3af zenon_H9f zenon_H3b4 zenon_H3a8 zenon_H481 zenon_H3ee zenon_H517 zenon_H4e zenon_H121 zenon_H514 zenon_H16c zenon_H21a zenon_H155 zenon_H13 zenon_H15 zenon_H154 zenon_H4c4 zenon_H4c3 zenon_H328 zenon_H25f zenon_H485 zenon_H30e zenon_H375 zenon_H2c2 zenon_H15a zenon_H32b zenon_H316 zenon_H301 zenon_H18a zenon_H172 zenon_H1fd zenon_H1fe zenon_H2f8 zenon_H1cc zenon_H360 zenon_H23b zenon_H236 zenon_H2ad zenon_H2e7 zenon_H322 zenon_H2e6 zenon_H163 zenon_H292 zenon_H461 zenon_H44f zenon_H270 zenon_H505 zenon_H2b9 zenon_H2c0 zenon_H29e zenon_H15f zenon_H14b zenon_H1a9 zenon_H1e8 zenon_H1f7 zenon_H25 zenon_H146 zenon_H4df zenon_H116 zenon_H58 zenon_Hd4 zenon_H3b zenon_H33 zenon_H464 zenon_H3f zenon_H394 zenon_H395.
% 55.08/55.25 apply (zenon_or_s _ _ zenon_H399); [ zenon_intro zenon_H44 | zenon_intro zenon_H39a ].
% 55.08/55.25 apply (zenon_L10_); trivial.
% 55.08/55.25 apply (zenon_or_s _ _ zenon_H39a); [ zenon_intro zenon_H388 | zenon_intro zenon_H39b ].
% 55.08/55.25 apply (zenon_or_s _ _ zenon_H3b4); [ zenon_intro zenon_H9e | zenon_intro zenon_H3b5 ].
% 55.08/55.25 apply (zenon_L27_); trivial.
% 55.08/55.25 apply (zenon_or_s _ _ zenon_H3b5); [ zenon_intro zenon_He9 | zenon_intro zenon_H3b6 ].
% 55.08/55.25 apply (zenon_L912_); trivial.
% 55.08/55.25 apply (zenon_or_s _ _ zenon_H3b6); [ zenon_intro zenon_Heb | zenon_intro zenon_H106 ].
% 55.08/55.25 apply (zenon_L323_); trivial.
% 55.08/55.25 apply (zenon_L340_); trivial.
% 55.08/55.25 apply (zenon_or_s _ _ zenon_H39b); [ zenon_intro zenon_H38e | zenon_intro zenon_He9 ].
% 55.08/55.25 apply (zenon_L516_); trivial.
% 55.08/55.25 apply (zenon_L912_); trivial.
% 55.08/55.25 (* end of lemma zenon_L913_ *)
% 55.08/55.25 assert (zenon_L914_ : (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (((op2 (e21) (e20)) = (e20))\/(((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e20)) = (e22))\/((op2 (e21) (e20)) = (e23))))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e21) (e21)) = (op2 (e21) (e22)))) -> (((op2 (e21) (e22)) = (e20))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e22)) = (e23))))) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> ((op2 (e23) (e20)) = (e22)) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (~((op1 (e10) (e10)) = (e10))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e12))\/((op1 (e11) (e10)) = (e13))))) -> ((op1 (e11) (op1 (e11) (e13))) = (e13)) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((h2 (op1 (e12) (e13))) = (op2 (h2 (e12)) (h2 (e13))))) -> ((h2 (e11)) = (e21)) -> ((h2 (e12)) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> ((h2 (e13)) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((op1 (e11) (op1 (e11) (e10))) = (e10)) -> ((op1 (e11) (e10)) = (e11)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((e12) = (e13))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> ((op1 (e10) (e11)) = (e11)) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> ((op1 (e11) (op1 (e11) (e12))) = (e12)) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e13)) = (e10))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e10)) = (e12))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e13) (e10)) = (e12))))) -> (~((op1 (e10) (e10)) = (e12))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> ((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) -> ((e10) = (op1 (e11) (e11))) -> ((e12) = (op1 (op1 (op1 (e11) (e11)) (op1 (e11) (e11))) (op1 (e11) (e11)))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (~((e10) = (e12))) -> ((op2 (e21) (op2 (e21) (e20))) = (e20)) -> ((op2 (e22) (e20)) = (e20)) -> ((op2 (e21) (e20)) = (e21)) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> (((op2 (e22) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e22) (e23)) = (e23))))) -> ((op2 (e23) (e21)) = (e23)) -> (((op2 (e21) (e20)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/((op2 (e21) (e23)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> ((e22) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> ((e20) = (op2 (e21) (e21))) -> ((e23) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> ((op2 (e20) (e21)) = (e21)) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> (((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e21)) = (e22))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> ((op2 (e20) (e23)) = (e22)) -> ((op2 (e21) (op2 (e21) (e22))) = (e22)) -> (~((op2 (e21) (e22)) = (op2 (e21) (e23)))) -> ((op2 (e21) (op2 (e21) (e23))) = (e23)) -> False).
% 55.08/55.25 do 0 intro. intros zenon_H4ae zenon_H437 zenon_H4a zenon_H32 zenon_Hc5 zenon_H3e zenon_H7a zenon_H40f zenon_H394 zenon_H58 zenon_H4df zenon_H146 zenon_H25 zenon_H1f7 zenon_H1e8 zenon_H1a9 zenon_H14b zenon_H15f zenon_H29e zenon_H2c0 zenon_H2b9 zenon_H505 zenon_H270 zenon_H44f zenon_H461 zenon_H292 zenon_H163 zenon_H2e6 zenon_H322 zenon_H2e7 zenon_H2ad zenon_H236 zenon_H23b zenon_H360 zenon_H1cc zenon_H2f8 zenon_H1fe zenon_H1fd zenon_H172 zenon_H18a zenon_H301 zenon_H316 zenon_H32b zenon_H15a zenon_H2c2 zenon_H375 zenon_H30e zenon_H485 zenon_H25f zenon_H328 zenon_H4c3 zenon_H4c4 zenon_H154 zenon_H15 zenon_H13 zenon_H155 zenon_H21a zenon_H16c zenon_H514 zenon_H121 zenon_H4e zenon_H517 zenon_H3ee zenon_He8 zenon_H399 zenon_H45 zenon_H3af zenon_H3f zenon_H33 zenon_H3b zenon_H60 zenon_H282 zenon_Hb9 zenon_H39d zenon_H3b1 zenon_H116 zenon_H9f zenon_H3b4 zenon_H3a8 zenon_H464 zenon_H481 zenon_H47a zenon_H395.
% 55.08/55.25 apply (zenon_or_s _ _ zenon_H4ae); [ zenon_intro zenon_H40 | zenon_intro zenon_H4af ].
% 55.08/55.25 apply (zenon_L8_); trivial.
% 55.08/55.25 apply (zenon_or_s _ _ zenon_H4af); [ zenon_intro zenon_H401 | zenon_intro zenon_H4b0 ].
% 55.08/55.25 apply (zenon_or_s _ _ zenon_H40f); [ zenon_intro zenon_H79 | zenon_intro zenon_H410 ].
% 55.08/55.25 apply (zenon_L20_); trivial.
% 55.08/55.25 apply (zenon_or_s _ _ zenon_H410); [ zenon_intro zenon_Hc4 | zenon_intro zenon_H411 ].
% 55.08/55.25 apply (zenon_L34_); trivial.
% 55.08/55.25 apply (zenon_or_s _ _ zenon_H411); [ zenon_intro zenon_Hd4 | zenon_intro zenon_H38e ].
% 55.08/55.25 apply (zenon_L913_); trivial.
% 55.08/55.25 apply (zenon_L449_); trivial.
% 55.08/55.25 apply (zenon_or_s _ _ zenon_H4b0); [ zenon_intro zenon_Hd4 | zenon_intro zenon_H478 ].
% 55.08/55.25 apply (zenon_L913_); trivial.
% 55.08/55.25 apply (zenon_L909_); trivial.
% 55.08/55.25 (* end of lemma zenon_L914_ *)
% 55.08/55.25 assert (zenon_L915_ : ((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12)))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e20)) = (e20))\/(((op2 (e22) (e20)) = (e20))\/((op2 (e23) (e20)) = (e20))))) -> (~((e20) = (e22))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (((op2 (e23) (e20)) = (e22))\/(((op2 (e23) (e21)) = (e22))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e20) (e20)) = (e22))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> ((e22) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> ((e23) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (((op2 (e21) (e22)) = (e20))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e22)) = (e23))))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> ((op2 (e23) (e21)) = (e23)) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> ((op2 (e21) (e20)) = (e21)) -> ((op2 (e21) (op2 (e21) (e20))) = (e20)) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (~((e10) = (e12))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> ((op1 (e10) (e11)) = (e11)) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e10)) = (e12))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e13) (e10)) = (e12))))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e12))\/((op1 (e11) (e10)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> ((op1 (e11) (op1 (e11) (e12))) = (e12)) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((e12) = (e13))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> ((op1 (e11) (e10)) = (e11)) -> ((op1 (e11) (op1 (e11) (e10))) = (e10)) -> (~((h2 (op1 (e12) (e13))) = (op2 (h2 (e12)) (h2 (e13))))) -> ((h2 (e11)) = (e21)) -> ((h2 (e13)) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((h2 (e12)) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> ((op1 (e11) (op1 (e11) (e13))) = (e13)) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> ((e12) = (op1 (op1 (op1 (e11) (e11)) (op1 (e11) (e11))) (op1 (e11) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> ((op2 (e21) (op2 (e21) (e23))) = (e23)) -> (((op2 (e22) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e22) (e23)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> ((op2 (e21) (op2 (e21) (e22))) = (e22)) -> (((op2 (e21) (e20)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/((op2 (e21) (e23)) = (e23))))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (((op2 (e21) (e20)) = (e20))\/(((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e20)) = (e22))\/((op2 (e21) (e20)) = (e23))))) -> (~((op2 (e21) (e21)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e22)) = (op2 (e21) (e23)))) -> (((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e21)) = (e22))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> ((op2 (e20) (e21)) = (e21)) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e23)) = (e20))) -> (((op2 (e20) (e20)) = (e22))\/(((op2 (e21) (e20)) = (e22))\/(((op2 (e22) (e20)) = (e22))\/((op2 (e23) (e20)) = (e22))))) -> ((e20) = (op2 (e21) (e21))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> (~((op2 (e20) (e20)) = (e20))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> ((e10) = (op1 (e11) (e11))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (~((op1 (e10) (e10)) = (e10))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> ((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> ((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))) -> False).
% 55.08/55.25 do 0 intro. intros zenon_H25e zenon_H4e6 zenon_H4e2 zenon_H67 zenon_H6e zenon_H74 zenon_Hbd zenon_H3e zenon_H3f zenon_H3b zenon_Hb0 zenon_H489 zenon_H40f zenon_H437 zenon_H3b4 zenon_He8 zenon_H3af zenon_H517 zenon_H4e zenon_H514 zenon_H4df zenon_H16c zenon_H485 zenon_H1fe zenon_H4c3 zenon_H1e8 zenon_H15f zenon_H15a zenon_H1a9 zenon_H2c2 zenon_H375 zenon_H30e zenon_H2ad zenon_H23b zenon_H2b9 zenon_H1cc zenon_H236 zenon_H32b zenon_H301 zenon_H2f8 zenon_H172 zenon_H1fd zenon_H18a zenon_H360 zenon_H316 zenon_H2e6 zenon_H163 zenon_H292 zenon_H505 zenon_H270 zenon_H461 zenon_H44f zenon_H2c0 zenon_H29e zenon_H322 zenon_H2e7 zenon_H1f7 zenon_H21a zenon_H155 zenon_H154 zenon_H328 zenon_H14b zenon_H116 zenon_H394 zenon_H395 zenon_H3ee zenon_H9f zenon_H3a8 zenon_H481 zenon_H399 zenon_Hc5 zenon_H45 zenon_H4a zenon_H7a zenon_H47a zenon_H3b1 zenon_H60 zenon_H282 zenon_H39d zenon_H4ae zenon_Hb9 zenon_H3c2 zenon_Had zenon_Hb7 zenon_H33 zenon_H32 zenon_H31 zenon_H246 zenon_H13 zenon_H19d zenon_H146 zenon_H1a0 zenon_H25 zenon_H1e zenon_H15 zenon_H17 zenon_H25d.
% 55.08/55.25 apply (zenon_or_s _ _ zenon_H25e); [ zenon_intro zenon_H458 | zenon_intro zenon_H4c4 ].
% 55.08/55.25 apply (zenon_L629_); trivial.
% 55.08/55.25 apply (zenon_or_s _ _ zenon_H25d); [ zenon_intro zenon_H25f | zenon_intro zenon_H1a1 ].
% 55.08/55.25 apply (zenon_or_s _ _ zenon_H4e6); [ zenon_intro zenon_H2d | zenon_intro zenon_H4e7 ].
% 55.08/55.25 exact (zenon_H31 zenon_H2d).
% 55.08/55.25 apply (zenon_or_s _ _ zenon_H4e7); [ zenon_intro zenon_H34 | zenon_intro zenon_H4e8 ].
% 55.08/55.25 apply (zenon_L6_); trivial.
% 55.08/55.25 apply (zenon_or_s _ _ zenon_H4e8); [ zenon_intro zenon_H121 | zenon_intro zenon_H80 ].
% 55.08/55.25 apply (zenon_or_s _ _ zenon_Hb7); [ zenon_intro zenon_Hbf | zenon_intro zenon_Hbe ].
% 55.08/55.25 exact (zenon_Hbd zenon_Hbf).
% 55.08/55.25 apply (zenon_or_s _ _ zenon_Hbe); [ zenon_intro zenon_H40 | zenon_intro zenon_Hc0 ].
% 55.08/55.25 apply (zenon_L8_); trivial.
% 55.08/55.25 apply (zenon_or_s _ _ zenon_Hc0); [ zenon_intro zenon_Hb1 | zenon_intro zenon_H58 ].
% 55.08/55.25 apply (zenon_L30_); trivial.
% 55.08/55.25 apply (zenon_or_s _ _ zenon_H489); [ zenon_intro zenon_H8b | zenon_intro zenon_H48a ].
% 55.08/55.25 exact (zenon_Had zenon_H8b).
% 55.08/55.25 apply (zenon_or_s _ _ zenon_H48a); [ zenon_intro zenon_H3c3 | zenon_intro zenon_H48b ].
% 55.08/55.25 apply (zenon_L352_); trivial.
% 55.08/55.25 apply (zenon_or_s _ _ zenon_H48b); [ zenon_intro zenon_H464 | zenon_intro zenon_H9e ].
% 55.08/55.25 apply (zenon_L914_); trivial.
% 55.08/55.25 apply (zenon_L27_); trivial.
% 55.08/55.25 apply (zenon_L736_); trivial.
% 55.08/55.25 apply (zenon_L79_); trivial.
% 55.08/55.25 (* end of lemma zenon_L915_ *)
% 55.08/55.25 assert (zenon_L916_ : (((op1 (e11) (e10)) = (e11))/\(((op1 (e10) (e11)) = (e11))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11))))/\(((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12))))/\((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13))))))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> ((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> ((e10) = (op1 (e11) (e11))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (~((op2 (e20) (e20)) = (e20))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> ((e20) = (op2 (e21) (e21))) -> (((op2 (e20) (e20)) = (e22))\/(((op2 (e21) (e20)) = (e22))\/(((op2 (e22) (e20)) = (e22))\/((op2 (e23) (e20)) = (e22))))) -> (~((op2 (e20) (e23)) = (e20))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> ((op2 (e20) (e21)) = (e21)) -> (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e21)) = (e22))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e21) (e22)) = (op2 (e21) (e23)))) -> (~((op2 (e21) (e21)) = (op2 (e21) (e22)))) -> (((op2 (e21) (e20)) = (e20))\/(((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e20)) = (e22))\/((op2 (e21) (e20)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> (((op2 (e21) (e20)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/((op2 (e21) (e23)) = (e23))))) -> ((op2 (e21) (op2 (e21) (e22))) = (e22)) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (((op2 (e22) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e22) (e23)) = (e23))))) -> ((op2 (e21) (op2 (e21) (e23))) = (e23)) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> ((e12) = (op1 (op1 (op1 (e11) (e11)) (op1 (e11) (e11))) (op1 (e11) (e11)))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> ((op1 (e11) (op1 (e11) (e13))) = (e13)) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> ((h2 (e12)) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> ((h2 (e13)) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((h2 (e11)) = (e21)) -> (~((h2 (op1 (e12) (e13))) = (op2 (h2 (e12)) (h2 (e13))))) -> ((op1 (e11) (op1 (e11) (e10))) = (e10)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((e12) = (e13))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> ((op1 (e11) (op1 (e11) (e12))) = (e12)) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e12))\/((op1 (e11) (e10)) = (e13))))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e10)) = (e12))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e13) (e10)) = (e12))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (~((e10) = (e12))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> ((op2 (e21) (op2 (e21) (e20))) = (e20)) -> ((op2 (e21) (e20)) = (e21)) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> ((op2 (e23) (e21)) = (e23)) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (((op2 (e21) (e22)) = (e20))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e22)) = (e23))))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> ((e23) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((e22) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e20) (e20)) = (e22))) -> (((op2 (e23) (e20)) = (e22))\/(((op2 (e23) (e21)) = (e22))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (~((e20) = (e22))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e20)) = (e20))\/(((op2 (e22) (e20)) = (e20))\/((op2 (e23) (e20)) = (e20))))) -> False).
% 55.08/55.25 do 0 intro. intros zenon_H259 zenon_H17 zenon_H15 zenon_H1e zenon_H25 zenon_H1a0 zenon_H19d zenon_H13 zenon_H246 zenon_H31 zenon_H32 zenon_H33 zenon_Hb7 zenon_Had zenon_H3c2 zenon_Hb9 zenon_H4ae zenon_H39d zenon_H282 zenon_H60 zenon_H3b1 zenon_H47a zenon_H7a zenon_H4a zenon_H45 zenon_Hc5 zenon_H399 zenon_H481 zenon_H3a8 zenon_H9f zenon_H3ee zenon_H395 zenon_H394 zenon_H116 zenon_H14b zenon_H328 zenon_H154 zenon_H155 zenon_H21a zenon_H1f7 zenon_H2e7 zenon_H322 zenon_H29e zenon_H2c0 zenon_H44f zenon_H461 zenon_H270 zenon_H505 zenon_H292 zenon_H2e6 zenon_H316 zenon_H360 zenon_H18a zenon_H1fd zenon_H172 zenon_H2f8 zenon_H301 zenon_H32b zenon_H236 zenon_H1cc zenon_H2b9 zenon_H23b zenon_H2ad zenon_H30e zenon_H375 zenon_H2c2 zenon_H1a9 zenon_H15a zenon_H15f zenon_H1e8 zenon_H4c3 zenon_H485 zenon_H16c zenon_H4df zenon_H514 zenon_H4e zenon_H517 zenon_H3af zenon_He8 zenon_H3b4 zenon_H437 zenon_H40f zenon_H489 zenon_Hb0 zenon_H3b zenon_H3f zenon_H3e zenon_Hbd zenon_H74 zenon_H6e zenon_H67 zenon_H4e2 zenon_H4e6.
% 55.08/55.25 apply (zenon_and_s _ _ zenon_H259). zenon_intro zenon_H163. zenon_intro zenon_H25a.
% 55.08/55.25 apply (zenon_and_s _ _ zenon_H25a). zenon_intro zenon_H1fe. zenon_intro zenon_H149.
% 55.08/55.25 apply (zenon_and_s _ _ zenon_H149). zenon_intro zenon_H144. zenon_intro zenon_H14a.
% 55.08/55.25 apply (zenon_and_s _ _ zenon_H14a). zenon_intro zenon_H25c. zenon_intro zenon_H25b.
% 55.08/55.25 apply (zenon_and_s _ _ zenon_H25b). zenon_intro zenon_H25e. zenon_intro zenon_H25d.
% 55.08/55.25 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_H146 | zenon_intro zenon_H146 ].
% 55.08/55.25 apply (zenon_L915_); trivial.
% 55.08/55.25 apply (zenon_L915_); trivial.
% 55.08/55.25 (* end of lemma zenon_L916_ *)
% 55.08/55.25 assert (zenon_L917_ : ((((op1 (e10) (e10)) = (e10))/\(((op1 (e10) (e10)) = (e10))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11))))/\(((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12))))/\((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))))))))\/((((op1 (e10) (e11)) = (e10))/\(((op1 (e11) (e10)) = (e10))/\(((~((op1 (e11) (e10)) = (e11)))\/(~((op1 (e11) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e11) (e12)) = (e11)))\/(~((op1 (e11) (e11)) = (e12))))/\((~((op1 (e11) (e13)) = (e11)))\/(~((op1 (e11) (e11)) = (e13)))))))))\/((((op1 (e10) (e12)) = (e10))/\(((op1 (e12) (e10)) = (e10))/\(((~((op1 (e12) (e10)) = (e12)))\/(~((op1 (e12) (e12)) = (e10))))/\(((~((op1 (e12) (e11)) = (e12)))\/(~((op1 (e12) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13)))))))))\/((((op1 (e10) (e13)) = (e10))/\(((op1 (e13) (e10)) = (e10))/\(((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e13) (e13)) = (e10))))/\(((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11))))/\(((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e13) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13)))))))))\/((((op1 (e11) (e10)) = (e11))/\(((op1 (e10) (e11)) = (e11))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11))))/\(((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12))))/\((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))))))))\/((((op1 (e11) (e11)) = (e11))/\(((op1 (e11) (e11)) = (e11))/\(((~((op1 (e11) (e10)) = (e11)))\/(~((op1 (e11) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e11) (e12)) = (e11)))\/(~((op1 (e11) (e11)) = (e12))))/\((~((op1 (e11) (e13)) = (e11)))\/(~((op1 (e11) (e11)) = (e13)))))))))\/((((op1 (e11) (e12)) = (e11))/\(((op1 (e12) (e11)) = (e11))/\(((~((op1 (e12) (e10)) = (e12)))\/(~((op1 (e12) (e12)) = (e10))))/\(((~((op1 (e12) (e11)) = (e12)))\/(~((op1 (e12) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13)))))))))\/((((op1 (e11) (e13)) = (e11))/\(((op1 (e13) (e11)) = (e11))/\(((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e13) (e13)) = (e10))))/\(((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11))))/\(((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e13) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13)))))))))\/((((op1 (e12) (e10)) = (e12))/\(((op1 (e10) (e12)) = (e12))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11))))/\(((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12))))/\((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))))))))\/((((op1 (e12) (e11)) = (e12))/\(((op1 (e11) (e12)) = (e12))/\(((~((op1 (e11) (e10)) = (e11)))\/(~((op1 (e11) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e11) (e12)) = (e11)))\/(~((op1 (e11) (e11)) = (e12))))/\((~((op1 (e11) (e13)) = (e11)))\/(~((op1 (e11) (e11)) = (e13)))))))))\/((((op1 (e12) (e12)) = (e12))/\(((op1 (e12) (e12)) = (e12))/\(((~((op1 (e12) (e10)) = (e12)))\/(~((op1 (e12) (e12)) = (e10))))/\(((~((op1 (e12) (e11)) = (e12)))\/(~((op1 (e12) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13)))))))))\/((((op1 (e12) (e13)) = (e12))/\(((op1 (e13) (e12)) = (e12))/\(((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e13) (e13)) = (e10))))/\(((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11))))/\(((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e13) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13)))))))))\/((((op1 (e13) (e10)) = (e13))/\(((op1 (e10) (e13)) = (e13))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11))))/\(((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12))))/\((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))))))))\/((((op1 (e13) (e11)) = (e13))/\(((op1 (e11) (e13)) = (e13))/\(((~((op1 (e11) (e10)) = (e11)))\/(~((op1 (e11) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e11) (e12)) = (e11)))\/(~((op1 (e11) (e11)) = (e12))))/\((~((op1 (e11) (e13)) = (e11)))\/(~((op1 (e11) (e11)) = (e13)))))))))\/((((op1 (e13) (e12)) = (e13))/\(((op1 (e12) (e13)) = (e13))/\(((~((op1 (e12) (e10)) = (e12)))\/(~((op1 (e12) (e12)) = (e10))))/\(((~((op1 (e12) (e11)) = (e12)))\/(~((op1 (e12) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13)))))))))\/(((op1 (e13) (e13)) = (e13))/\(((op1 (e13) (e13)) = (e13))/\(((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e13) (e13)) = (e10))))/\(((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11))))/\(((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e13) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13)))))))))))))))))))))))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> ((op1 (e13) (e11)) = (e13)) -> (~((op1 (e11) (e11)) = (e11))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e20)) = (e20))\/(((op2 (e22) (e20)) = (e20))\/((op2 (e23) (e20)) = (e20))))) -> (~((e20) = (e22))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (((op2 (e23) (e20)) = (e22))\/(((op2 (e23) (e21)) = (e22))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e20) (e20)) = (e22))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> ((e22) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> ((e23) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (((op2 (e21) (e22)) = (e20))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e22)) = (e23))))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> ((op2 (e23) (e21)) = (e23)) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> ((op2 (e21) (e20)) = (e21)) -> ((op2 (e21) (op2 (e21) (e20))) = (e20)) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (~((e10) = (e12))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e10)) = (e12))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e13) (e10)) = (e12))))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> ((op1 (e11) (op1 (e11) (e12))) = (e12)) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((e12) = (e13))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> ((op1 (e11) (op1 (e11) (e10))) = (e10)) -> (~((h2 (op1 (e12) (e13))) = (op2 (h2 (e12)) (h2 (e13))))) -> ((h2 (e11)) = (e21)) -> ((h2 (e13)) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((h2 (e12)) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> ((op2 (e21) (op2 (e21) (e23))) = (e23)) -> (((op2 (e22) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e22) (e23)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> ((op2 (e21) (op2 (e21) (e22))) = (e22)) -> (((op2 (e21) (e20)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/((op2 (e21) (e23)) = (e23))))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (((op2 (e21) (e20)) = (e20))\/(((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e20)) = (e22))\/((op2 (e21) (e20)) = (e23))))) -> (~((op2 (e21) (e21)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e22)) = (op2 (e21) (e23)))) -> (((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e21)) = (e22))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> ((op2 (e20) (e21)) = (e21)) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e23)) = (e20))) -> (((op2 (e20) (e20)) = (e22))\/(((op2 (e21) (e20)) = (e22))\/(((op2 (e22) (e20)) = (e22))\/((op2 (e23) (e20)) = (e22))))) -> ((e20) = (op2 (e21) (e21))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> (~((op2 (e20) (e20)) = (e20))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e11)) = (e12))\/((op1 (e10) (e11)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> ((op1 (e12) (e11)) = (e12)) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e12))\/((op1 (e11) (e10)) = (e13))))) -> ((e12) = (op1 (op1 (op1 (e11) (e11)) (op1 (e11) (e11))) (op1 (e11) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> ((op1 (e11) (op1 (e11) (e13))) = (e13)) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> ((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) -> ((e10) = (op1 (e11) (e11))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> False).
% 55.08/55.25 do 0 intro. intros zenon_H245 zenon_H474 zenon_H1c3 zenon_H473 zenon_H358 zenon_H32e zenon_H1ed zenon_H1da zenon_H1de zenon_H1fa zenon_H4e6 zenon_H4e2 zenon_H67 zenon_H6e zenon_H74 zenon_Hbd zenon_H3e zenon_H3f zenon_H3b zenon_Hb0 zenon_H489 zenon_H40f zenon_H437 zenon_H3b4 zenon_He8 zenon_H3af zenon_H517 zenon_H4e zenon_H514 zenon_H4df zenon_H16c zenon_H485 zenon_H4c3 zenon_H1e8 zenon_H375 zenon_H30e zenon_H2ad zenon_H23b zenon_H1cc zenon_H236 zenon_H32b zenon_H301 zenon_H2f8 zenon_H18a zenon_H360 zenon_H316 zenon_H2e6 zenon_H292 zenon_H505 zenon_H270 zenon_H461 zenon_H44f zenon_H322 zenon_H2e7 zenon_H1f7 zenon_H328 zenon_H116 zenon_H394 zenon_H395 zenon_H3ee zenon_H9f zenon_H3a8 zenon_H481 zenon_H399 zenon_Hc5 zenon_H45 zenon_H4a zenon_H7a zenon_H47a zenon_H3b1 zenon_H60 zenon_H282 zenon_H39d zenon_H4ae zenon_Hb9 zenon_H3c2 zenon_Had zenon_Hb7 zenon_H33 zenon_H32 zenon_H31 zenon_H246 zenon_H1a0 zenon_H1e zenon_H1a9 zenon_H180 zenon_H172 zenon_H206 zenon_H19d zenon_H1fd zenon_H202 zenon_H204 zenon_H17 zenon_H186 zenon_H21a zenon_H179 zenon_H25 zenon_H15f zenon_H155 zenon_H154 zenon_H14b zenon_H29e zenon_H2c0 zenon_H1f4 zenon_H15 zenon_H13 zenon_H2b9 zenon_H15a zenon_H2c2.
% 55.08/55.25 apply (zenon_or_s _ _ zenon_H245); [ zenon_intro zenon_H147 | zenon_intro zenon_H254 ].
% 55.08/55.25 apply (zenon_L60_); trivial.
% 55.08/55.25 apply (zenon_or_s _ _ zenon_H254); [ zenon_intro zenon_H164 | zenon_intro zenon_H255 ].
% 55.08/55.25 apply (zenon_L66_); trivial.
% 55.08/55.25 apply (zenon_or_s _ _ zenon_H255); [ zenon_intro zenon_H197 | zenon_intro zenon_H256 ].
% 55.08/55.25 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_H18f. zenon_intro zenon_H198.
% 55.08/55.25 apply (zenon_and_s _ _ zenon_H198). zenon_intro zenon_H293. zenon_intro zenon_H227.
% 55.08/55.25 apply (zenon_and_s _ _ zenon_H227). zenon_intro zenon_H229. zenon_intro zenon_H228.
% 55.08/55.25 apply (zenon_and_s _ _ zenon_H228). zenon_intro zenon_H22b. zenon_intro zenon_H22a.
% 55.08/55.25 apply (zenon_and_s _ _ zenon_H22a). zenon_intro zenon_H224. zenon_intro zenon_H22c.
% 55.08/55.25 apply (zenon_or_s _ _ zenon_H22b); [ zenon_intro zenon_H23c | zenon_intro zenon_H23f ].
% 55.08/55.25 exact (zenon_H23c zenon_H202).
% 55.08/55.25 apply (zenon_or_s _ _ zenon_H224); [ zenon_intro zenon_H1d1 | zenon_intro zenon_H1d1 ].
% 55.08/55.25 apply (zenon_L911_); trivial.
% 55.08/55.25 apply (zenon_L911_); trivial.
% 55.08/55.25 apply (zenon_or_s _ _ zenon_H256); [ zenon_intro zenon_H199 | zenon_intro zenon_H257 ].
% 55.08/55.25 apply (zenon_L77_); trivial.
% 55.08/55.25 apply (zenon_or_s _ _ zenon_H257); [ zenon_intro zenon_H259 | zenon_intro zenon_H258 ].
% 55.08/55.25 apply (zenon_L916_); trivial.
% 55.08/55.25 apply (zenon_or_s _ _ zenon_H258); [ zenon_intro zenon_H1a5 | zenon_intro zenon_H262 ].
% 55.08/55.25 apply (zenon_L80_); trivial.
% 55.08/55.25 apply (zenon_or_s _ _ zenon_H262); [ zenon_intro zenon_H1ae | zenon_intro zenon_H263 ].
% 55.08/55.25 apply (zenon_L83_); trivial.
% 55.08/55.25 apply (zenon_or_s _ _ zenon_H263); [ zenon_intro zenon_H212 | zenon_intro zenon_H264 ].
% 55.08/55.25 apply (zenon_L169_); trivial.
% 55.08/55.25 apply (zenon_or_s _ _ zenon_H264); [ zenon_intro zenon_H220 | zenon_intro zenon_H265 ].
% 55.08/55.25 apply (zenon_L110_); trivial.
% 55.08/55.25 apply (zenon_or_s _ _ zenon_H265); [ zenon_intro zenon_H222 | zenon_intro zenon_H266 ].
% 55.08/55.25 apply (zenon_L111_); trivial.
% 55.08/55.25 apply (zenon_or_s _ _ zenon_H266); [ zenon_intro zenon_H225 | zenon_intro zenon_H267 ].
% 55.08/55.25 apply (zenon_L113_); trivial.
% 55.08/55.25 apply (zenon_or_s _ _ zenon_H267); [ zenon_intro zenon_H22d | zenon_intro zenon_H268 ].
% 55.08/55.25 apply (zenon_L114_); trivial.
% 55.08/55.25 apply (zenon_or_s _ _ zenon_H268); [ zenon_intro zenon_H230 | zenon_intro zenon_H269 ].
% 55.08/55.25 apply (zenon_L115_); trivial.
% 55.08/55.25 apply (zenon_or_s _ _ zenon_H269); [ zenon_intro zenon_H232 | zenon_intro zenon_H26a ].
% 55.08/55.25 apply (zenon_L116_); trivial.
% 55.08/55.25 apply (zenon_or_s _ _ zenon_H26a); [ zenon_intro zenon_H240 | zenon_intro zenon_H242 ].
% 55.08/55.25 apply (zenon_L166_); trivial.
% 55.08/55.25 apply (zenon_L125_); trivial.
% 55.08/55.25 (* end of lemma zenon_L917_ *)
% 55.08/55.25 assert (zenon_L918_ : (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> ((op1 (e11) (e13)) = (e12)) -> ((((op1 (e10) (e10)) = (e10))/\(((op1 (e10) (e10)) = (e10))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11))))/\(((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12))))/\((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))))))))\/((((op1 (e10) (e11)) = (e10))/\(((op1 (e11) (e10)) = (e10))/\(((~((op1 (e11) (e10)) = (e11)))\/(~((op1 (e11) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e11) (e12)) = (e11)))\/(~((op1 (e11) (e11)) = (e12))))/\((~((op1 (e11) (e13)) = (e11)))\/(~((op1 (e11) (e11)) = (e13)))))))))\/((((op1 (e10) (e12)) = (e10))/\(((op1 (e12) (e10)) = (e10))/\(((~((op1 (e12) (e10)) = (e12)))\/(~((op1 (e12) (e12)) = (e10))))/\(((~((op1 (e12) (e11)) = (e12)))\/(~((op1 (e12) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13)))))))))\/((((op1 (e10) (e13)) = (e10))/\(((op1 (e13) (e10)) = (e10))/\(((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e13) (e13)) = (e10))))/\(((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11))))/\(((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e13) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13)))))))))\/((((op1 (e11) (e10)) = (e11))/\(((op1 (e10) (e11)) = (e11))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11))))/\(((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12))))/\((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))))))))\/((((op1 (e11) (e11)) = (e11))/\(((op1 (e11) (e11)) = (e11))/\(((~((op1 (e11) (e10)) = (e11)))\/(~((op1 (e11) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e11) (e12)) = (e11)))\/(~((op1 (e11) (e11)) = (e12))))/\((~((op1 (e11) (e13)) = (e11)))\/(~((op1 (e11) (e11)) = (e13)))))))))\/((((op1 (e11) (e12)) = (e11))/\(((op1 (e12) (e11)) = (e11))/\(((~((op1 (e12) (e10)) = (e12)))\/(~((op1 (e12) (e12)) = (e10))))/\(((~((op1 (e12) (e11)) = (e12)))\/(~((op1 (e12) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13)))))))))\/((((op1 (e11) (e13)) = (e11))/\(((op1 (e13) (e11)) = (e11))/\(((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e13) (e13)) = (e10))))/\(((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11))))/\(((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e13) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13)))))))))\/((((op1 (e12) (e10)) = (e12))/\(((op1 (e10) (e12)) = (e12))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11))))/\(((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12))))/\((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))))))))\/((((op1 (e12) (e11)) = (e12))/\(((op1 (e11) (e12)) = (e12))/\(((~((op1 (e11) (e10)) = (e11)))\/(~((op1 (e11) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e11) (e12)) = (e11)))\/(~((op1 (e11) (e11)) = (e12))))/\((~((op1 (e11) (e13)) = (e11)))\/(~((op1 (e11) (e11)) = (e13)))))))))\/((((op1 (e12) (e12)) = (e12))/\(((op1 (e12) (e12)) = (e12))/\(((~((op1 (e12) (e10)) = (e12)))\/(~((op1 (e12) (e12)) = (e10))))/\(((~((op1 (e12) (e11)) = (e12)))\/(~((op1 (e12) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13)))))))))\/((((op1 (e12) (e13)) = (e12))/\(((op1 (e13) (e12)) = (e12))/\(((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e13) (e13)) = (e10))))/\(((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11))))/\(((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e13) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13)))))))))\/((((op1 (e13) (e10)) = (e13))/\(((op1 (e10) (e13)) = (e13))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11))))/\(((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12))))/\((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))))))))\/((((op1 (e13) (e11)) = (e13))/\(((op1 (e11) (e13)) = (e13))/\(((~((op1 (e11) (e10)) = (e11)))\/(~((op1 (e11) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e11) (e12)) = (e11)))\/(~((op1 (e11) (e11)) = (e12))))/\((~((op1 (e11) (e13)) = (e11)))\/(~((op1 (e11) (e11)) = (e13)))))))))\/((((op1 (e13) (e12)) = (e13))/\(((op1 (e12) (e13)) = (e13))/\(((~((op1 (e12) (e10)) = (e12)))\/(~((op1 (e12) (e12)) = (e10))))/\(((~((op1 (e12) (e11)) = (e12)))\/(~((op1 (e12) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13)))))))))\/(((op1 (e13) (e13)) = (e13))/\(((op1 (e13) (e13)) = (e13))/\(((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e13) (e13)) = (e10))))/\(((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11))))/\(((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e13) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13)))))))))))))))))))))))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (~((op1 (e11) (e11)) = (e11))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e20)) = (e20))\/(((op2 (e22) (e20)) = (e20))\/((op2 (e23) (e20)) = (e20))))) -> (~((e20) = (e22))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (((op2 (e23) (e20)) = (e22))\/(((op2 (e23) (e21)) = (e22))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e20) (e20)) = (e22))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> ((e22) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> ((e23) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (((op2 (e21) (e22)) = (e20))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e22)) = (e23))))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> ((op2 (e23) (e21)) = (e23)) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> ((op2 (e21) (e20)) = (e21)) -> ((op2 (e21) (op2 (e21) (e20))) = (e20)) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (~((e10) = (e12))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e10)) = (e12))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e13) (e10)) = (e12))))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> ((op1 (e11) (op1 (e11) (e12))) = (e12)) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((e12) = (e13))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> ((op1 (e11) (op1 (e11) (e10))) = (e10)) -> (~((h2 (op1 (e12) (e13))) = (op2 (h2 (e12)) (h2 (e13))))) -> ((h2 (e11)) = (e21)) -> ((h2 (e13)) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((h2 (e12)) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> ((op2 (e21) (op2 (e21) (e23))) = (e23)) -> (((op2 (e22) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e22) (e23)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> ((op2 (e21) (op2 (e21) (e22))) = (e22)) -> (((op2 (e21) (e20)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/((op2 (e21) (e23)) = (e23))))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (((op2 (e21) (e20)) = (e20))\/(((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e20)) = (e22))\/((op2 (e21) (e20)) = (e23))))) -> (~((op2 (e21) (e21)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e22)) = (op2 (e21) (e23)))) -> (((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e21)) = (e22))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> ((op2 (e20) (e21)) = (e21)) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e23)) = (e20))) -> (((op2 (e20) (e20)) = (e22))\/(((op2 (e21) (e20)) = (e22))\/(((op2 (e22) (e20)) = (e22))\/((op2 (e23) (e20)) = (e22))))) -> ((e20) = (op2 (e21) (e21))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> (~((op2 (e20) (e20)) = (e20))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e11)) = (e12))\/((op1 (e10) (e11)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> ((op1 (e12) (e11)) = (e12)) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e12))\/((op1 (e11) (e10)) = (e13))))) -> ((e12) = (op1 (op1 (op1 (e11) (e11)) (op1 (e11) (e11))) (op1 (e11) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> ((op1 (e11) (op1 (e11) (e13))) = (e13)) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> ((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) -> ((e10) = (op1 (e11) (e11))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> False).
% 55.08/55.26 do 0 intro. intros zenon_H313 zenon_H1ec zenon_H245 zenon_H474 zenon_H473 zenon_H358 zenon_H32e zenon_H1ed zenon_H1da zenon_H1de zenon_H1fa zenon_H4e6 zenon_H4e2 zenon_H67 zenon_H6e zenon_H74 zenon_Hbd zenon_H3e zenon_H3f zenon_H3b zenon_Hb0 zenon_H489 zenon_H40f zenon_H437 zenon_H3b4 zenon_He8 zenon_H3af zenon_H517 zenon_H4e zenon_H514 zenon_H4df zenon_H16c zenon_H485 zenon_H4c3 zenon_H1e8 zenon_H375 zenon_H30e zenon_H2ad zenon_H23b zenon_H1cc zenon_H236 zenon_H32b zenon_H301 zenon_H2f8 zenon_H18a zenon_H360 zenon_H316 zenon_H2e6 zenon_H292 zenon_H505 zenon_H270 zenon_H461 zenon_H44f zenon_H322 zenon_H2e7 zenon_H1f7 zenon_H328 zenon_H116 zenon_H394 zenon_H395 zenon_H3ee zenon_H9f zenon_H3a8 zenon_H481 zenon_H399 zenon_Hc5 zenon_H45 zenon_H4a zenon_H7a zenon_H47a zenon_H3b1 zenon_H60 zenon_H282 zenon_H39d zenon_H4ae zenon_Hb9 zenon_H3c2 zenon_Had zenon_Hb7 zenon_H33 zenon_H32 zenon_H31 zenon_H246 zenon_H1a0 zenon_H1e zenon_H1a9 zenon_H180 zenon_H172 zenon_H206 zenon_H19d zenon_H1fd zenon_H202 zenon_H204 zenon_H17 zenon_H186 zenon_H21a zenon_H179 zenon_H25 zenon_H15f zenon_H155 zenon_H154 zenon_H14b zenon_H29e zenon_H2c0 zenon_H1f4 zenon_H15 zenon_H13 zenon_H2b9 zenon_H15a zenon_H2c2.
% 55.08/55.26 apply (zenon_or_s _ _ zenon_H313); [ zenon_intro zenon_H16 | zenon_intro zenon_H314 ].
% 55.08/55.26 apply (zenon_L2_); trivial.
% 55.08/55.26 apply (zenon_or_s _ _ zenon_H314); [ zenon_intro zenon_H2b7 | zenon_intro zenon_H315 ].
% 55.08/55.26 apply (zenon_L507_); trivial.
% 55.08/55.26 apply (zenon_or_s _ _ zenon_H315); [ zenon_intro zenon_H2e3 | zenon_intro zenon_H1c3 ].
% 55.08/55.26 apply (zenon_L482_); trivial.
% 55.08/55.26 apply (zenon_L917_); trivial.
% 55.08/55.26 (* end of lemma zenon_L918_ *)
% 55.08/55.26 assert (zenon_L919_ : (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> ((op1 (e11) (op1 (e11) (e13))) = (e13)) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> ((e12) = (op1 (op1 (op1 (e11) (e11)) (op1 (e11) (e11))) (op1 (e11) (e11)))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e12))\/((op1 (e11) (e10)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> ((op1 (e12) (e11)) = (e12)) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e11)) = (e12))\/((op1 (e10) (e11)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (~((op2 (e20) (e20)) = (e20))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> ((e20) = (op2 (e21) (e21))) -> (((op2 (e20) (e20)) = (e22))\/(((op2 (e21) (e20)) = (e22))\/(((op2 (e22) (e20)) = (e22))\/((op2 (e23) (e20)) = (e22))))) -> (~((op2 (e20) (e23)) = (e20))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> ((op2 (e20) (e21)) = (e21)) -> (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e21)) = (e22))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e21) (e22)) = (op2 (e21) (e23)))) -> (~((op2 (e21) (e21)) = (op2 (e21) (e22)))) -> (((op2 (e21) (e20)) = (e20))\/(((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e20)) = (e22))\/((op2 (e21) (e20)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> (((op2 (e21) (e20)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/((op2 (e21) (e23)) = (e23))))) -> ((op2 (e21) (op2 (e21) (e22))) = (e22)) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (((op2 (e22) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e22) (e23)) = (e23))))) -> ((op2 (e21) (op2 (e21) (e23))) = (e23)) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> ((h2 (e12)) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> ((h2 (e13)) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((h2 (e11)) = (e21)) -> (~((h2 (op1 (e12) (e13))) = (op2 (h2 (e12)) (h2 (e13))))) -> ((op1 (e11) (op1 (e11) (e10))) = (e10)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((e12) = (e13))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> ((op1 (e11) (op1 (e11) (e12))) = (e12)) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e10)) = (e12))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e13) (e10)) = (e12))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (~((e10) = (e12))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> ((op2 (e21) (op2 (e21) (e20))) = (e20)) -> ((op2 (e21) (e20)) = (e21)) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> ((op2 (e23) (e21)) = (e23)) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (((op2 (e21) (e22)) = (e20))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e22)) = (e23))))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> ((e23) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((e22) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e20) (e20)) = (e22))) -> (((op2 (e23) (e20)) = (e22))\/(((op2 (e23) (e21)) = (e22))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (~((e20) = (e22))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e20)) = (e20))\/(((op2 (e22) (e20)) = (e20))\/((op2 (e23) (e20)) = (e20))))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e11)) = (e11))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> ((((op1 (e10) (e10)) = (e10))/\(((op1 (e10) (e10)) = (e10))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11))))/\(((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12))))/\((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))))))))\/((((op1 (e10) (e11)) = (e10))/\(((op1 (e11) (e10)) = (e10))/\(((~((op1 (e11) (e10)) = (e11)))\/(~((op1 (e11) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e11) (e12)) = (e11)))\/(~((op1 (e11) (e11)) = (e12))))/\((~((op1 (e11) (e13)) = (e11)))\/(~((op1 (e11) (e11)) = (e13)))))))))\/((((op1 (e10) (e12)) = (e10))/\(((op1 (e12) (e10)) = (e10))/\(((~((op1 (e12) (e10)) = (e12)))\/(~((op1 (e12) (e12)) = (e10))))/\(((~((op1 (e12) (e11)) = (e12)))\/(~((op1 (e12) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13)))))))))\/((((op1 (e10) (e13)) = (e10))/\(((op1 (e13) (e10)) = (e10))/\(((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e13) (e13)) = (e10))))/\(((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11))))/\(((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e13) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13)))))))))\/((((op1 (e11) (e10)) = (e11))/\(((op1 (e10) (e11)) = (e11))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11))))/\(((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12))))/\((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))))))))\/((((op1 (e11) (e11)) = (e11))/\(((op1 (e11) (e11)) = (e11))/\(((~((op1 (e11) (e10)) = (e11)))\/(~((op1 (e11) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e11) (e12)) = (e11)))\/(~((op1 (e11) (e11)) = (e12))))/\((~((op1 (e11) (e13)) = (e11)))\/(~((op1 (e11) (e11)) = (e13)))))))))\/((((op1 (e11) (e12)) = (e11))/\(((op1 (e12) (e11)) = (e11))/\(((~((op1 (e12) (e10)) = (e12)))\/(~((op1 (e12) (e12)) = (e10))))/\(((~((op1 (e12) (e11)) = (e12)))\/(~((op1 (e12) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13)))))))))\/((((op1 (e11) (e13)) = (e11))/\(((op1 (e13) (e11)) = (e11))/\(((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e13) (e13)) = (e10))))/\(((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11))))/\(((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e13) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13)))))))))\/((((op1 (e12) (e10)) = (e12))/\(((op1 (e10) (e12)) = (e12))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11))))/\(((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12))))/\((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))))))))\/((((op1 (e12) (e11)) = (e12))/\(((op1 (e11) (e12)) = (e12))/\(((~((op1 (e11) (e10)) = (e11)))\/(~((op1 (e11) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e11) (e12)) = (e11)))\/(~((op1 (e11) (e11)) = (e12))))/\((~((op1 (e11) (e13)) = (e11)))\/(~((op1 (e11) (e11)) = (e13)))))))))\/((((op1 (e12) (e12)) = (e12))/\(((op1 (e12) (e12)) = (e12))/\(((~((op1 (e12) (e10)) = (e12)))\/(~((op1 (e12) (e12)) = (e10))))/\(((~((op1 (e12) (e11)) = (e12)))\/(~((op1 (e12) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13)))))))))\/((((op1 (e12) (e13)) = (e12))/\(((op1 (e13) (e12)) = (e12))/\(((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e13) (e13)) = (e10))))/\(((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11))))/\(((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e13) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13)))))))))\/((((op1 (e13) (e10)) = (e13))/\(((op1 (e10) (e13)) = (e13))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11))))/\(((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12))))/\((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))))))))\/((((op1 (e13) (e11)) = (e13))/\(((op1 (e11) (e13)) = (e13))/\(((~((op1 (e11) (e10)) = (e11)))\/(~((op1 (e11) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e11) (e12)) = (e11)))\/(~((op1 (e11) (e11)) = (e12))))/\((~((op1 (e11) (e13)) = (e11)))\/(~((op1 (e11) (e11)) = (e13)))))))))\/((((op1 (e13) (e12)) = (e13))/\(((op1 (e12) (e13)) = (e13))/\(((~((op1 (e12) (e10)) = (e12)))\/(~((op1 (e12) (e12)) = (e10))))/\(((~((op1 (e12) (e11)) = (e12)))\/(~((op1 (e12) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13)))))))))\/(((op1 (e13) (e13)) = (e13))/\(((op1 (e13) (e13)) = (e13))/\(((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e13) (e13)) = (e10))))/\(((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11))))/\(((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e13) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13)))))))))))))))))))))))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e12)) = (e11))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> ((op1 (e11) (op1 (e11) (e11))) = (e11)) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e12) (e13)) = (e12))) -> (~((op1 (e12) (e12)) = (e12))) -> ((op1 (e12) (e10)) = (e10)) -> ((op2 (e22) (e23)) = (e21)) -> ((op1 (e10) (e12)) = (e10)) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> ((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) -> ((e10) = (op1 (e11) (e11))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> False).
% 55.08/55.26 do 0 intro. intros zenon_H2c2 zenon_H15a zenon_H2b9 zenon_H1f4 zenon_H2c0 zenon_H29e zenon_H14b zenon_H154 zenon_H155 zenon_H15f zenon_H179 zenon_H21a zenon_H186 zenon_H204 zenon_H202 zenon_H1fd zenon_H19d zenon_H206 zenon_H172 zenon_H180 zenon_H1a9 zenon_H1a0 zenon_H246 zenon_H31 zenon_H32 zenon_H33 zenon_Hb7 zenon_Had zenon_H3c2 zenon_Hb9 zenon_H4ae zenon_H39d zenon_H282 zenon_H60 zenon_H3b1 zenon_H47a zenon_H7a zenon_H4a zenon_H45 zenon_Hc5 zenon_H399 zenon_H481 zenon_H3a8 zenon_H9f zenon_H3ee zenon_H395 zenon_H394 zenon_H116 zenon_H328 zenon_H1f7 zenon_H2e7 zenon_H322 zenon_H44f zenon_H461 zenon_H270 zenon_H505 zenon_H292 zenon_H2e6 zenon_H316 zenon_H360 zenon_H18a zenon_H2f8 zenon_H301 zenon_H32b zenon_H236 zenon_H1cc zenon_H23b zenon_H2ad zenon_H30e zenon_H375 zenon_H1e8 zenon_H4c3 zenon_H485 zenon_H16c zenon_H4df zenon_H514 zenon_H4e zenon_H517 zenon_H3af zenon_He8 zenon_H3b4 zenon_H437 zenon_H40f zenon_H489 zenon_Hb0 zenon_H3b zenon_H3f zenon_H3e zenon_Hbd zenon_H74 zenon_H6e zenon_H67 zenon_H4e2 zenon_H4e6 zenon_H1fa zenon_H1de zenon_H1da zenon_H1ed zenon_H32e zenon_H358 zenon_H473 zenon_H474 zenon_H245 zenon_H313 zenon_H2b1 zenon_H1d8 zenon_H23f zenon_H2a3 zenon_H2a6 zenon_H2a5 zenon_H1b1 zenon_H1be zenon_H27d zenon_H1d1 zenon_H293 zenon_H3c7 zenon_H18f zenon_H17 zenon_H1e zenon_H15 zenon_H13 zenon_H25.
% 55.08/55.26 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_H1a3 | zenon_intro zenon_H1a2 ].
% 55.08/55.26 apply (zenon_or_s _ _ zenon_H474); [ zenon_intro zenon_H163 | zenon_intro zenon_H475 ].
% 55.08/55.26 apply (zenon_L889_); trivial.
% 55.08/55.26 apply (zenon_or_s _ _ zenon_H475); [ zenon_intro zenon_H1a7 | zenon_intro zenon_H476 ].
% 55.08/55.26 exact (zenon_H473 zenon_H1a7).
% 55.08/55.26 apply (zenon_or_s _ _ zenon_H476); [ zenon_intro zenon_H1a8 | zenon_intro zenon_H214 ].
% 55.08/55.26 apply (zenon_L82_); trivial.
% 55.08/55.26 apply (zenon_or_s _ _ zenon_H1fa); [ zenon_intro zenon_H156 | zenon_intro zenon_H1fb ].
% 55.08/55.26 apply (zenon_L63_); trivial.
% 55.08/55.26 apply (zenon_or_s _ _ zenon_H1fb); [ zenon_intro zenon_H1b8 | zenon_intro zenon_H1fc ].
% 55.08/55.26 apply (zenon_L890_); trivial.
% 55.08/55.26 apply (zenon_or_s _ _ zenon_H1fc); [ zenon_intro zenon_H1c6 | zenon_intro zenon_H1ec ].
% 55.08/55.26 apply (zenon_L506_); trivial.
% 55.08/55.26 apply (zenon_L918_); trivial.
% 55.08/55.26 apply (zenon_or_s _ _ zenon_H1a2); [ zenon_intro zenon_H16 | zenon_intro zenon_H1a4 ].
% 55.08/55.26 apply (zenon_L2_); trivial.
% 55.08/55.26 apply (zenon_or_s _ _ zenon_H1a4); [ zenon_intro zenon_H1d | zenon_intro zenon_H24 ].
% 55.08/55.26 apply (zenon_L3_); trivial.
% 55.08/55.26 apply (zenon_L4_); trivial.
% 55.08/55.26 (* end of lemma zenon_L919_ *)
% 55.08/55.26 assert (zenon_L920_ : ((op2 (e22) (e20)) = (e20)) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> ((e10) = (op1 (e11) (e11))) -> ((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> ((op1 (e10) (e12)) = (e10)) -> ((op1 (e12) (e10)) = (e10)) -> (~((op1 (e12) (e12)) = (e12))) -> (~((op1 (e12) (e13)) = (e12))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> ((op1 (e11) (op1 (e11) (e11))) = (e11)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e12)) = (e11))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> ((((op1 (e10) (e10)) = (e10))/\(((op1 (e10) (e10)) = (e10))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11))))/\(((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12))))/\((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))))))))\/((((op1 (e10) (e11)) = (e10))/\(((op1 (e11) (e10)) = (e10))/\(((~((op1 (e11) (e10)) = (e11)))\/(~((op1 (e11) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e11) (e12)) = (e11)))\/(~((op1 (e11) (e11)) = (e12))))/\((~((op1 (e11) (e13)) = (e11)))\/(~((op1 (e11) (e11)) = (e13)))))))))\/((((op1 (e10) (e12)) = (e10))/\(((op1 (e12) (e10)) = (e10))/\(((~((op1 (e12) (e10)) = (e12)))\/(~((op1 (e12) (e12)) = (e10))))/\(((~((op1 (e12) (e11)) = (e12)))\/(~((op1 (e12) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13)))))))))\/((((op1 (e10) (e13)) = (e10))/\(((op1 (e13) (e10)) = (e10))/\(((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e13) (e13)) = (e10))))/\(((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11))))/\(((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e13) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13)))))))))\/((((op1 (e11) (e10)) = (e11))/\(((op1 (e10) (e11)) = (e11))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11))))/\(((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12))))/\((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))))))))\/((((op1 (e11) (e11)) = (e11))/\(((op1 (e11) (e11)) = (e11))/\(((~((op1 (e11) (e10)) = (e11)))\/(~((op1 (e11) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e11) (e12)) = (e11)))\/(~((op1 (e11) (e11)) = (e12))))/\((~((op1 (e11) (e13)) = (e11)))\/(~((op1 (e11) (e11)) = (e13)))))))))\/((((op1 (e11) (e12)) = (e11))/\(((op1 (e12) (e11)) = (e11))/\(((~((op1 (e12) (e10)) = (e12)))\/(~((op1 (e12) (e12)) = (e10))))/\(((~((op1 (e12) (e11)) = (e12)))\/(~((op1 (e12) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13)))))))))\/((((op1 (e11) (e13)) = (e11))/\(((op1 (e13) (e11)) = (e11))/\(((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e13) (e13)) = (e10))))/\(((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11))))/\(((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e13) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13)))))))))\/((((op1 (e12) (e10)) = (e12))/\(((op1 (e10) (e12)) = (e12))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11))))/\(((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12))))/\((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))))))))\/((((op1 (e12) (e11)) = (e12))/\(((op1 (e11) (e12)) = (e12))/\(((~((op1 (e11) (e10)) = (e11)))\/(~((op1 (e11) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e11) (e12)) = (e11)))\/(~((op1 (e11) (e11)) = (e12))))/\((~((op1 (e11) (e13)) = (e11)))\/(~((op1 (e11) (e11)) = (e13)))))))))\/((((op1 (e12) (e12)) = (e12))/\(((op1 (e12) (e12)) = (e12))/\(((~((op1 (e12) (e10)) = (e12)))\/(~((op1 (e12) (e12)) = (e10))))/\(((~((op1 (e12) (e11)) = (e12)))\/(~((op1 (e12) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13)))))))))\/((((op1 (e12) (e13)) = (e12))/\(((op1 (e13) (e12)) = (e12))/\(((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e13) (e13)) = (e10))))/\(((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11))))/\(((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e13) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13)))))))))\/((((op1 (e13) (e10)) = (e13))/\(((op1 (e10) (e13)) = (e13))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11))))/\(((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12))))/\((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))))))))\/((((op1 (e13) (e11)) = (e13))/\(((op1 (e11) (e13)) = (e13))/\(((~((op1 (e11) (e10)) = (e11)))\/(~((op1 (e11) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e11) (e12)) = (e11)))\/(~((op1 (e11) (e11)) = (e12))))/\((~((op1 (e11) (e13)) = (e11)))\/(~((op1 (e11) (e11)) = (e13)))))))))\/((((op1 (e13) (e12)) = (e13))/\(((op1 (e12) (e13)) = (e13))/\(((~((op1 (e12) (e10)) = (e12)))\/(~((op1 (e12) (e12)) = (e10))))/\(((~((op1 (e12) (e11)) = (e12)))\/(~((op1 (e12) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13)))))))))\/(((op1 (e13) (e13)) = (e13))/\(((op1 (e13) (e13)) = (e13))/\(((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e13) (e13)) = (e10))))/\(((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11))))/\(((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e13) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13)))))))))))))))))))))))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (~((op1 (e11) (e11)) = (e11))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e20)) = (e20))\/(((op2 (e22) (e20)) = (e20))\/((op2 (e23) (e20)) = (e20))))) -> (~((e20) = (e22))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (((op2 (e23) (e20)) = (e22))\/(((op2 (e23) (e21)) = (e22))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e20) (e20)) = (e22))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (((op2 (e21) (e22)) = (e20))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e22)) = (e23))))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> ((op2 (e23) (e21)) = (e23)) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> ((op2 (e21) (e20)) = (e21)) -> ((op2 (e21) (op2 (e21) (e20))) = (e20)) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (~((e10) = (e12))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e10)) = (e12))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e13) (e10)) = (e12))))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> ((op1 (e11) (op1 (e11) (e12))) = (e12)) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((e12) = (e13))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> ((op1 (e11) (op1 (e11) (e10))) = (e10)) -> (~((h2 (op1 (e12) (e13))) = (op2 (h2 (e12)) (h2 (e13))))) -> ((h2 (e11)) = (e21)) -> ((h2 (e13)) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((h2 (e12)) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (((op2 (e22) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e22) (e23)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> ((op2 (e21) (op2 (e21) (e22))) = (e22)) -> (((op2 (e21) (e20)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/((op2 (e21) (e23)) = (e23))))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (((op2 (e21) (e20)) = (e20))\/(((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e20)) = (e22))\/((op2 (e21) (e20)) = (e23))))) -> (~((op2 (e21) (e21)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e22)) = (op2 (e21) (e23)))) -> (((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e21)) = (e22))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> ((op2 (e20) (e21)) = (e21)) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e23)) = (e20))) -> (((op2 (e20) (e20)) = (e22))\/(((op2 (e21) (e20)) = (e22))\/(((op2 (e22) (e20)) = (e22))\/((op2 (e23) (e20)) = (e22))))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> (~((op2 (e20) (e20)) = (e20))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e11)) = (e12))\/((op1 (e10) (e11)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> ((op1 (e12) (e11)) = (e12)) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e12))\/((op1 (e11) (e10)) = (e13))))) -> ((e12) = (op1 (op1 (op1 (e11) (e11)) (op1 (e11) (e11))) (op1 (e11) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> ((op1 (e11) (op1 (e11) (e13))) = (e13)) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> ((op2 (e23) (e20)) = (e22)) -> ((op2 (e21) (e22)) = (e22)) -> ((e23) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((e20) = (op2 (e21) (e21))) -> ((op2 (e20) (e23)) = (e22)) -> ((e22) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> ((op2 (e21) (op2 (e21) (e23))) = (e23)) -> ((op2 (e21) (e23)) = (e23)) -> False).
% 55.08/55.26 do 0 intro. intros zenon_H121 zenon_H25 zenon_H13 zenon_H15 zenon_H1e zenon_H17 zenon_H18f zenon_H293 zenon_H1d1 zenon_H27d zenon_H1be zenon_H1b1 zenon_H2a5 zenon_H2a6 zenon_H2a3 zenon_H23f zenon_H1d8 zenon_H2b1 zenon_H313 zenon_H245 zenon_H474 zenon_H473 zenon_H358 zenon_H32e zenon_H1ed zenon_H1da zenon_H1de zenon_H1fa zenon_H4e6 zenon_H4e2 zenon_H67 zenon_H6e zenon_H74 zenon_Hbd zenon_H3e zenon_Hb0 zenon_H489 zenon_H40f zenon_H437 zenon_H3b4 zenon_He8 zenon_H3af zenon_H517 zenon_H4e zenon_H514 zenon_H4df zenon_H16c zenon_H485 zenon_H4c3 zenon_H1e8 zenon_H375 zenon_H30e zenon_H2ad zenon_H23b zenon_H1cc zenon_H236 zenon_H32b zenon_H301 zenon_H2f8 zenon_H18a zenon_H360 zenon_H316 zenon_H2e6 zenon_H292 zenon_H505 zenon_H270 zenon_H461 zenon_H44f zenon_H322 zenon_H2e7 zenon_H1f7 zenon_H328 zenon_H3ee zenon_H9f zenon_H3a8 zenon_H481 zenon_H399 zenon_Hc5 zenon_H45 zenon_H4a zenon_H7a zenon_H47a zenon_H3b1 zenon_H60 zenon_H282 zenon_H39d zenon_H4ae zenon_Hb9 zenon_H3c2 zenon_Had zenon_Hb7 zenon_H32 zenon_H31 zenon_H246 zenon_H1a0 zenon_H1a9 zenon_H180 zenon_H172 zenon_H206 zenon_H19d zenon_H1fd zenon_H202 zenon_H204 zenon_H186 zenon_H21a zenon_H179 zenon_H15f zenon_H155 zenon_H154 zenon_H14b zenon_H29e zenon_H2c0 zenon_H1f4 zenon_H2b9 zenon_H15a zenon_H2c2 zenon_H116 zenon_H58 zenon_Hd4 zenon_H3b zenon_H33 zenon_H464 zenon_H3f zenon_H394 zenon_H395 zenon_He9.
% 55.08/55.26 apply (zenon_or_s _ _ zenon_H3ee); [ zenon_intro zenon_H118 | zenon_intro zenon_H3ef ].
% 55.08/55.26 apply (zenon_L905_); trivial.
% 55.08/55.26 apply (zenon_or_s _ _ zenon_H3ef); [ zenon_intro zenon_H3c7 | zenon_intro zenon_H3f0 ].
% 55.08/55.26 apply (zenon_L919_); trivial.
% 55.08/55.26 apply (zenon_or_s _ _ zenon_H3f0); [ zenon_intro zenon_He2 | zenon_intro zenon_Heb ].
% 55.08/55.26 apply (zenon_L682_); trivial.
% 55.08/55.26 apply (zenon_L326_); trivial.
% 55.08/55.26 (* end of lemma zenon_L920_ *)
% 55.08/55.26 assert (zenon_L921_ : ((op2 (e22) (e20)) = (e20)) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> ((e10) = (op1 (e11) (e11))) -> ((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> ((op1 (e10) (e12)) = (e10)) -> ((op1 (e12) (e10)) = (e10)) -> (~((op1 (e12) (e12)) = (e12))) -> (~((op1 (e12) (e13)) = (e12))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> ((op1 (e11) (op1 (e11) (e11))) = (e11)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e12)) = (e11))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> ((((op1 (e10) (e10)) = (e10))/\(((op1 (e10) (e10)) = (e10))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11))))/\(((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12))))/\((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))))))))\/((((op1 (e10) (e11)) = (e10))/\(((op1 (e11) (e10)) = (e10))/\(((~((op1 (e11) (e10)) = (e11)))\/(~((op1 (e11) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e11) (e12)) = (e11)))\/(~((op1 (e11) (e11)) = (e12))))/\((~((op1 (e11) (e13)) = (e11)))\/(~((op1 (e11) (e11)) = (e13)))))))))\/((((op1 (e10) (e12)) = (e10))/\(((op1 (e12) (e10)) = (e10))/\(((~((op1 (e12) (e10)) = (e12)))\/(~((op1 (e12) (e12)) = (e10))))/\(((~((op1 (e12) (e11)) = (e12)))\/(~((op1 (e12) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13)))))))))\/((((op1 (e10) (e13)) = (e10))/\(((op1 (e13) (e10)) = (e10))/\(((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e13) (e13)) = (e10))))/\(((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11))))/\(((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e13) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13)))))))))\/((((op1 (e11) (e10)) = (e11))/\(((op1 (e10) (e11)) = (e11))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11))))/\(((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12))))/\((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))))))))\/((((op1 (e11) (e11)) = (e11))/\(((op1 (e11) (e11)) = (e11))/\(((~((op1 (e11) (e10)) = (e11)))\/(~((op1 (e11) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e11) (e12)) = (e11)))\/(~((op1 (e11) (e11)) = (e12))))/\((~((op1 (e11) (e13)) = (e11)))\/(~((op1 (e11) (e11)) = (e13)))))))))\/((((op1 (e11) (e12)) = (e11))/\(((op1 (e12) (e11)) = (e11))/\(((~((op1 (e12) (e10)) = (e12)))\/(~((op1 (e12) (e12)) = (e10))))/\(((~((op1 (e12) (e11)) = (e12)))\/(~((op1 (e12) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13)))))))))\/((((op1 (e11) (e13)) = (e11))/\(((op1 (e13) (e11)) = (e11))/\(((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e13) (e13)) = (e10))))/\(((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11))))/\(((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e13) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13)))))))))\/((((op1 (e12) (e10)) = (e12))/\(((op1 (e10) (e12)) = (e12))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11))))/\(((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12))))/\((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))))))))\/((((op1 (e12) (e11)) = (e12))/\(((op1 (e11) (e12)) = (e12))/\(((~((op1 (e11) (e10)) = (e11)))\/(~((op1 (e11) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e11) (e12)) = (e11)))\/(~((op1 (e11) (e11)) = (e12))))/\((~((op1 (e11) (e13)) = (e11)))\/(~((op1 (e11) (e11)) = (e13)))))))))\/((((op1 (e12) (e12)) = (e12))/\(((op1 (e12) (e12)) = (e12))/\(((~((op1 (e12) (e10)) = (e12)))\/(~((op1 (e12) (e12)) = (e10))))/\(((~((op1 (e12) (e11)) = (e12)))\/(~((op1 (e12) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13)))))))))\/((((op1 (e12) (e13)) = (e12))/\(((op1 (e13) (e12)) = (e12))/\(((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e13) (e13)) = (e10))))/\(((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11))))/\(((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e13) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13)))))))))\/((((op1 (e13) (e10)) = (e13))/\(((op1 (e10) (e13)) = (e13))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11))))/\(((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12))))/\((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))))))))\/((((op1 (e13) (e11)) = (e13))/\(((op1 (e11) (e13)) = (e13))/\(((~((op1 (e11) (e10)) = (e11)))\/(~((op1 (e11) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e11) (e12)) = (e11)))\/(~((op1 (e11) (e11)) = (e12))))/\((~((op1 (e11) (e13)) = (e11)))\/(~((op1 (e11) (e11)) = (e13)))))))))\/((((op1 (e13) (e12)) = (e13))/\(((op1 (e12) (e13)) = (e13))/\(((~((op1 (e12) (e10)) = (e12)))\/(~((op1 (e12) (e12)) = (e10))))/\(((~((op1 (e12) (e11)) = (e12)))\/(~((op1 (e12) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13)))))))))\/(((op1 (e13) (e13)) = (e13))/\(((op1 (e13) (e13)) = (e13))/\(((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e13) (e13)) = (e10))))/\(((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11))))/\(((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e13) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13)))))))))))))))))))))))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (~((op1 (e11) (e11)) = (e11))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e20)) = (e20))\/(((op2 (e22) (e20)) = (e20))\/((op2 (e23) (e20)) = (e20))))) -> (~((e20) = (e22))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (((op2 (e23) (e20)) = (e22))\/(((op2 (e23) (e21)) = (e22))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e20) (e20)) = (e22))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (((op2 (e21) (e22)) = (e20))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e22)) = (e23))))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> ((op2 (e23) (e21)) = (e23)) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> ((op2 (e21) (e20)) = (e21)) -> ((op2 (e21) (op2 (e21) (e20))) = (e20)) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (~((e10) = (e12))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e10)) = (e12))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e13) (e10)) = (e12))))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> ((op1 (e11) (op1 (e11) (e12))) = (e12)) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((e12) = (e13))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> ((op1 (e11) (op1 (e11) (e10))) = (e10)) -> (~((h2 (op1 (e12) (e13))) = (op2 (h2 (e12)) (h2 (e13))))) -> ((h2 (e11)) = (e21)) -> ((h2 (e13)) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((h2 (e12)) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (((op2 (e22) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e22) (e23)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> ((op2 (e21) (op2 (e21) (e22))) = (e22)) -> (((op2 (e21) (e20)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/((op2 (e21) (e23)) = (e23))))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (((op2 (e21) (e20)) = (e20))\/(((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e20)) = (e22))\/((op2 (e21) (e20)) = (e23))))) -> (~((op2 (e21) (e21)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e22)) = (op2 (e21) (e23)))) -> (((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e21)) = (e22))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> ((op2 (e20) (e21)) = (e21)) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e23)) = (e20))) -> (((op2 (e20) (e20)) = (e22))\/(((op2 (e21) (e20)) = (e22))\/(((op2 (e22) (e20)) = (e22))\/((op2 (e23) (e20)) = (e22))))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> (~((op2 (e20) (e20)) = (e20))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e11)) = (e12))\/((op1 (e10) (e11)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> ((op1 (e12) (e11)) = (e12)) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e12))\/((op1 (e11) (e10)) = (e13))))) -> ((e12) = (op1 (op1 (op1 (e11) (e11)) (op1 (e11) (e11))) (op1 (e11) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> ((op1 (e11) (op1 (e11) (e13))) = (e13)) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> ((op2 (e23) (e20)) = (e22)) -> ((op2 (e21) (e22)) = (e22)) -> ((e23) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((e20) = (op2 (e21) (e21))) -> ((op2 (e20) (e23)) = (e22)) -> ((e22) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> ((op2 (e21) (op2 (e21) (e23))) = (e23)) -> False).
% 55.08/55.26 do 0 intro. intros zenon_H121 zenon_H25 zenon_H13 zenon_H15 zenon_H1e zenon_H17 zenon_H18f zenon_H293 zenon_H1d1 zenon_H27d zenon_H1be zenon_H1b1 zenon_H2a5 zenon_H2a6 zenon_H2a3 zenon_H23f zenon_H1d8 zenon_H2b1 zenon_H313 zenon_H245 zenon_H474 zenon_H473 zenon_H358 zenon_H32e zenon_H1ed zenon_H1da zenon_H1de zenon_H1fa zenon_H4e6 zenon_H4e2 zenon_H67 zenon_H6e zenon_H74 zenon_Hbd zenon_H3e zenon_Hb0 zenon_H489 zenon_H40f zenon_H437 zenon_H3b4 zenon_He8 zenon_H3af zenon_H517 zenon_H4e zenon_H514 zenon_H4df zenon_H16c zenon_H485 zenon_H4c3 zenon_H1e8 zenon_H375 zenon_H30e zenon_H2ad zenon_H23b zenon_H1cc zenon_H236 zenon_H32b zenon_H301 zenon_H2f8 zenon_H18a zenon_H360 zenon_H316 zenon_H2e6 zenon_H292 zenon_H505 zenon_H270 zenon_H461 zenon_H44f zenon_H322 zenon_H2e7 zenon_H1f7 zenon_H328 zenon_H3ee zenon_H9f zenon_H3a8 zenon_H481 zenon_H399 zenon_Hc5 zenon_H45 zenon_H4a zenon_H7a zenon_H47a zenon_H3b1 zenon_H60 zenon_H282 zenon_H39d zenon_H4ae zenon_Hb9 zenon_H3c2 zenon_Had zenon_Hb7 zenon_H32 zenon_H31 zenon_H246 zenon_H1a0 zenon_H1a9 zenon_H180 zenon_H172 zenon_H206 zenon_H19d zenon_H1fd zenon_H202 zenon_H204 zenon_H186 zenon_H21a zenon_H179 zenon_H15f zenon_H155 zenon_H154 zenon_H14b zenon_H29e zenon_H2c0 zenon_H1f4 zenon_H2b9 zenon_H15a zenon_H2c2 zenon_H116 zenon_H58 zenon_Hd4 zenon_H3b zenon_H33 zenon_H464 zenon_H3f zenon_H394 zenon_H395.
% 55.08/55.26 apply (zenon_or_s _ _ zenon_H399); [ zenon_intro zenon_H44 | zenon_intro zenon_H39a ].
% 55.08/55.26 apply (zenon_L10_); trivial.
% 55.08/55.26 apply (zenon_or_s _ _ zenon_H39a); [ zenon_intro zenon_H388 | zenon_intro zenon_H39b ].
% 55.08/55.26 apply (zenon_or_s _ _ zenon_H3b4); [ zenon_intro zenon_H9e | zenon_intro zenon_H3b5 ].
% 55.08/55.26 apply (zenon_L27_); trivial.
% 55.08/55.26 apply (zenon_or_s _ _ zenon_H3b5); [ zenon_intro zenon_He9 | zenon_intro zenon_H3b6 ].
% 55.08/55.26 apply (zenon_L920_); trivial.
% 55.08/55.26 apply (zenon_or_s _ _ zenon_H3b6); [ zenon_intro zenon_Heb | zenon_intro zenon_H106 ].
% 55.08/55.26 apply (zenon_L323_); trivial.
% 55.08/55.26 apply (zenon_L340_); trivial.
% 55.08/55.26 apply (zenon_or_s _ _ zenon_H39b); [ zenon_intro zenon_H38e | zenon_intro zenon_He9 ].
% 55.08/55.26 apply (zenon_L516_); trivial.
% 55.08/55.26 apply (zenon_L920_); trivial.
% 55.08/55.26 (* end of lemma zenon_L921_ *)
% 55.08/55.26 assert (zenon_L922_ : (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> ((op2 (e23) (e20)) = (e22)) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> ((op1 (e11) (op1 (e11) (e13))) = (e13)) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> ((e12) = (op1 (op1 (op1 (e11) (e11)) (op1 (e11) (e11))) (op1 (e11) (e11)))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e12))\/((op1 (e11) (e10)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> ((op1 (e12) (e11)) = (e12)) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e11)) = (e12))\/((op1 (e10) (e11)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (~((op2 (e20) (e20)) = (e20))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> (((op2 (e20) (e20)) = (e22))\/(((op2 (e21) (e20)) = (e22))\/(((op2 (e22) (e20)) = (e22))\/((op2 (e23) (e20)) = (e22))))) -> (~((op2 (e20) (e23)) = (e20))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> (~((op2 (e21) (e21)) = (op2 (e21) (e22)))) -> (((op2 (e21) (e20)) = (e20))\/(((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e20)) = (e22))\/((op2 (e21) (e20)) = (e23))))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> (((op2 (e22) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e22) (e23)) = (e23))))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> ((h2 (e12)) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> ((h2 (e13)) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((h2 (e11)) = (e21)) -> (~((h2 (op1 (e12) (e13))) = (op2 (h2 (e12)) (h2 (e13))))) -> ((op1 (e11) (op1 (e11) (e10))) = (e10)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((e12) = (e13))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> ((op1 (e11) (op1 (e11) (e12))) = (e12)) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e10)) = (e12))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e13) (e10)) = (e12))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (~((e10) = (e12))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> ((op2 (e21) (op2 (e21) (e20))) = (e20)) -> ((op2 (e21) (e20)) = (e21)) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> ((op2 (e23) (e21)) = (e23)) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (((op2 (e21) (e22)) = (e20))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e22)) = (e23))))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e20) (e20)) = (e22))) -> (((op2 (e23) (e20)) = (e22))\/(((op2 (e23) (e21)) = (e22))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (~((e20) = (e22))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e20)) = (e20))\/(((op2 (e22) (e20)) = (e20))\/((op2 (e23) (e20)) = (e20))))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e11)) = (e11))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> ((((op1 (e10) (e10)) = (e10))/\(((op1 (e10) (e10)) = (e10))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11))))/\(((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12))))/\((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))))))))\/((((op1 (e10) (e11)) = (e10))/\(((op1 (e11) (e10)) = (e10))/\(((~((op1 (e11) (e10)) = (e11)))\/(~((op1 (e11) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e11) (e12)) = (e11)))\/(~((op1 (e11) (e11)) = (e12))))/\((~((op1 (e11) (e13)) = (e11)))\/(~((op1 (e11) (e11)) = (e13)))))))))\/((((op1 (e10) (e12)) = (e10))/\(((op1 (e12) (e10)) = (e10))/\(((~((op1 (e12) (e10)) = (e12)))\/(~((op1 (e12) (e12)) = (e10))))/\(((~((op1 (e12) (e11)) = (e12)))\/(~((op1 (e12) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13)))))))))\/((((op1 (e10) (e13)) = (e10))/\(((op1 (e13) (e10)) = (e10))/\(((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e13) (e13)) = (e10))))/\(((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11))))/\(((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e13) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13)))))))))\/((((op1 (e11) (e10)) = (e11))/\(((op1 (e10) (e11)) = (e11))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11))))/\(((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12))))/\((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))))))))\/((((op1 (e11) (e11)) = (e11))/\(((op1 (e11) (e11)) = (e11))/\(((~((op1 (e11) (e10)) = (e11)))\/(~((op1 (e11) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e11) (e12)) = (e11)))\/(~((op1 (e11) (e11)) = (e12))))/\((~((op1 (e11) (e13)) = (e11)))\/(~((op1 (e11) (e11)) = (e13)))))))))\/((((op1 (e11) (e12)) = (e11))/\(((op1 (e12) (e11)) = (e11))/\(((~((op1 (e12) (e10)) = (e12)))\/(~((op1 (e12) (e12)) = (e10))))/\(((~((op1 (e12) (e11)) = (e12)))\/(~((op1 (e12) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13)))))))))\/((((op1 (e11) (e13)) = (e11))/\(((op1 (e13) (e11)) = (e11))/\(((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e13) (e13)) = (e10))))/\(((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11))))/\(((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e13) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13)))))))))\/((((op1 (e12) (e10)) = (e12))/\(((op1 (e10) (e12)) = (e12))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11))))/\(((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12))))/\((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))))))))\/((((op1 (e12) (e11)) = (e12))/\(((op1 (e11) (e12)) = (e12))/\(((~((op1 (e11) (e10)) = (e11)))\/(~((op1 (e11) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e11) (e12)) = (e11)))\/(~((op1 (e11) (e11)) = (e12))))/\((~((op1 (e11) (e13)) = (e11)))\/(~((op1 (e11) (e11)) = (e13)))))))))\/((((op1 (e12) (e12)) = (e12))/\(((op1 (e12) (e12)) = (e12))/\(((~((op1 (e12) (e10)) = (e12)))\/(~((op1 (e12) (e12)) = (e10))))/\(((~((op1 (e12) (e11)) = (e12)))\/(~((op1 (e12) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13)))))))))\/((((op1 (e12) (e13)) = (e12))/\(((op1 (e13) (e12)) = (e12))/\(((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e13) (e13)) = (e10))))/\(((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11))))/\(((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e13) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13)))))))))\/((((op1 (e13) (e10)) = (e13))/\(((op1 (e10) (e13)) = (e13))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11))))/\(((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12))))/\((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))))))))\/((((op1 (e13) (e11)) = (e13))/\(((op1 (e11) (e13)) = (e13))/\(((~((op1 (e11) (e10)) = (e11)))\/(~((op1 (e11) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e11) (e12)) = (e11)))\/(~((op1 (e11) (e11)) = (e12))))/\((~((op1 (e11) (e13)) = (e11)))\/(~((op1 (e11) (e11)) = (e13)))))))))\/((((op1 (e13) (e12)) = (e13))/\(((op1 (e12) (e13)) = (e13))/\(((~((op1 (e12) (e10)) = (e12)))\/(~((op1 (e12) (e12)) = (e10))))/\(((~((op1 (e12) (e11)) = (e12)))\/(~((op1 (e12) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13)))))))))\/(((op1 (e13) (e13)) = (e13))/\(((op1 (e13) (e13)) = (e13))/\(((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e13) (e13)) = (e10))))/\(((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11))))/\(((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e13) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13)))))))))))))))))))))))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e12)) = (e11))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> ((op1 (e11) (op1 (e11) (e11))) = (e11)) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e12) (e13)) = (e12))) -> (~((op1 (e12) (e12)) = (e12))) -> ((op1 (e12) (e10)) = (e10)) -> ((op1 (e10) (e12)) = (e10)) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> ((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) -> ((e10) = (op1 (e11) (e11))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> ((op2 (e22) (e20)) = (e20)) -> (((op2 (e21) (e20)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/((op2 (e21) (e23)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> ((e22) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> ((e20) = (op2 (e21) (e21))) -> ((e23) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> ((op2 (e20) (e21)) = (e21)) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> (((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e21)) = (e22))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> ((op2 (e20) (e23)) = (e22)) -> ((op2 (e21) (op2 (e21) (e22))) = (e22)) -> (~((op2 (e21) (e22)) = (op2 (e21) (e23)))) -> ((op2 (e21) (op2 (e21) (e23))) = (e23)) -> False).
% 55.08/55.26 do 0 intro. intros zenon_H394 zenon_H58 zenon_H2c2 zenon_H15a zenon_H2b9 zenon_H1f4 zenon_H2c0 zenon_H29e zenon_H14b zenon_H154 zenon_H155 zenon_H15f zenon_H179 zenon_H21a zenon_H186 zenon_H204 zenon_H202 zenon_H1fd zenon_H19d zenon_H206 zenon_H172 zenon_H180 zenon_H1a9 zenon_H1a0 zenon_H246 zenon_H31 zenon_H32 zenon_Hb7 zenon_Had zenon_H3c2 zenon_H4ae zenon_H7a zenon_H4a zenon_Hc5 zenon_H3ee zenon_H328 zenon_H1f7 zenon_H2e7 zenon_H322 zenon_H44f zenon_H461 zenon_H270 zenon_H505 zenon_H292 zenon_H2e6 zenon_H316 zenon_H360 zenon_H18a zenon_H2f8 zenon_H301 zenon_H32b zenon_H236 zenon_H1cc zenon_H23b zenon_H2ad zenon_H30e zenon_H375 zenon_H1e8 zenon_H4c3 zenon_H485 zenon_H16c zenon_H4df zenon_H514 zenon_H4e zenon_H517 zenon_He8 zenon_H437 zenon_H40f zenon_H489 zenon_Hb0 zenon_H3e zenon_Hbd zenon_H74 zenon_H6e zenon_H67 zenon_H4e2 zenon_H4e6 zenon_H1fa zenon_H1de zenon_H1da zenon_H1ed zenon_H32e zenon_H358 zenon_H473 zenon_H474 zenon_H245 zenon_H313 zenon_H2b1 zenon_H1d8 zenon_H23f zenon_H2a3 zenon_H2a6 zenon_H2a5 zenon_H1b1 zenon_H1be zenon_H27d zenon_H1d1 zenon_H293 zenon_H18f zenon_H17 zenon_H1e zenon_H15 zenon_H13 zenon_H25 zenon_H121 zenon_H399 zenon_H45 zenon_H3af zenon_H3f zenon_H33 zenon_H3b zenon_H60 zenon_H282 zenon_Hb9 zenon_H39d zenon_H3b1 zenon_H116 zenon_H9f zenon_H3b4 zenon_H3a8 zenon_H464 zenon_H481 zenon_H47a zenon_H395.
% 55.08/55.26 apply (zenon_or_s _ _ zenon_H4ae); [ zenon_intro zenon_H40 | zenon_intro zenon_H4af ].
% 55.08/55.26 apply (zenon_L8_); trivial.
% 55.08/55.26 apply (zenon_or_s _ _ zenon_H4af); [ zenon_intro zenon_H401 | zenon_intro zenon_H4b0 ].
% 55.08/55.26 apply (zenon_or_s _ _ zenon_H40f); [ zenon_intro zenon_H79 | zenon_intro zenon_H410 ].
% 55.08/55.26 apply (zenon_L20_); trivial.
% 55.08/55.26 apply (zenon_or_s _ _ zenon_H410); [ zenon_intro zenon_Hc4 | zenon_intro zenon_H411 ].
% 55.08/55.26 apply (zenon_L34_); trivial.
% 55.08/55.26 apply (zenon_or_s _ _ zenon_H411); [ zenon_intro zenon_Hd4 | zenon_intro zenon_H38e ].
% 55.08/55.26 apply (zenon_L921_); trivial.
% 55.08/55.26 apply (zenon_L449_); trivial.
% 55.08/55.26 apply (zenon_or_s _ _ zenon_H4b0); [ zenon_intro zenon_Hd4 | zenon_intro zenon_H478 ].
% 55.08/55.26 apply (zenon_L921_); trivial.
% 55.08/55.26 apply (zenon_L909_); trivial.
% 55.08/55.26 (* end of lemma zenon_L922_ *)
% 55.08/55.26 assert (zenon_L923_ : ((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13)))) -> (~((op2 (e20) (e20)) = (e20))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> ((e20) = (op2 (e21) (e21))) -> (~((op2 (e20) (e23)) = (e20))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> ((op2 (e20) (e21)) = (e21)) -> (~((op2 (e21) (e21)) = (op2 (e21) (e22)))) -> (((op2 (e21) (e20)) = (e20))\/(((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e20)) = (e22))\/((op2 (e21) (e20)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> ((op1 (e11) (op1 (e11) (e11))) = (e11)) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e20)) = (e20))\/(((op2 (e22) (e20)) = (e20))\/((op2 (e23) (e20)) = (e20))))) -> (~((e20) = (e22))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (((op2 (e23) (e20)) = (e22))\/(((op2 (e23) (e21)) = (e22))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (((op2 (e21) (e22)) = (e20))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e22)) = (e23))))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> ((op2 (e23) (e21)) = (e23)) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> ((op2 (e21) (op2 (e21) (e23))) = (e23)) -> (((op2 (e22) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e22) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> ((op2 (e21) (op2 (e21) (e22))) = (e22)) -> (((op2 (e21) (e20)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/((op2 (e21) (e23)) = (e23))))) -> (~((op2 (e21) (e22)) = (op2 (e21) (e23)))) -> (((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e21)) = (e22))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> (((op2 (e20) (e20)) = (e22))\/(((op2 (e21) (e20)) = (e22))\/(((op2 (e22) (e20)) = (e22))\/((op2 (e23) (e20)) = (e22))))) -> (~((e10) = (e12))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e10)) = (e12))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e13) (e10)) = (e12))))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> ((((op1 (e10) (e10)) = (e10))/\(((op1 (e10) (e10)) = (e10))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11))))/\(((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12))))/\((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))))))))\/((((op1 (e10) (e11)) = (e10))/\(((op1 (e11) (e10)) = (e10))/\(((~((op1 (e11) (e10)) = (e11)))\/(~((op1 (e11) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e11) (e12)) = (e11)))\/(~((op1 (e11) (e11)) = (e12))))/\((~((op1 (e11) (e13)) = (e11)))\/(~((op1 (e11) (e11)) = (e13)))))))))\/((((op1 (e10) (e12)) = (e10))/\(((op1 (e12) (e10)) = (e10))/\(((~((op1 (e12) (e10)) = (e12)))\/(~((op1 (e12) (e12)) = (e10))))/\(((~((op1 (e12) (e11)) = (e12)))\/(~((op1 (e12) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13)))))))))\/((((op1 (e10) (e13)) = (e10))/\(((op1 (e13) (e10)) = (e10))/\(((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e13) (e13)) = (e10))))/\(((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11))))/\(((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e13) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13)))))))))\/((((op1 (e11) (e10)) = (e11))/\(((op1 (e10) (e11)) = (e11))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11))))/\(((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12))))/\((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))))))))\/((((op1 (e11) (e11)) = (e11))/\(((op1 (e11) (e11)) = (e11))/\(((~((op1 (e11) (e10)) = (e11)))\/(~((op1 (e11) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e11) (e12)) = (e11)))\/(~((op1 (e11) (e11)) = (e12))))/\((~((op1 (e11) (e13)) = (e11)))\/(~((op1 (e11) (e11)) = (e13)))))))))\/((((op1 (e11) (e12)) = (e11))/\(((op1 (e12) (e11)) = (e11))/\(((~((op1 (e12) (e10)) = (e12)))\/(~((op1 (e12) (e12)) = (e10))))/\(((~((op1 (e12) (e11)) = (e12)))\/(~((op1 (e12) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13)))))))))\/((((op1 (e11) (e13)) = (e11))/\(((op1 (e13) (e11)) = (e11))/\(((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e13) (e13)) = (e10))))/\(((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11))))/\(((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e13) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13)))))))))\/((((op1 (e12) (e10)) = (e12))/\(((op1 (e10) (e12)) = (e12))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11))))/\(((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12))))/\((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))))))))\/((((op1 (e12) (e11)) = (e12))/\(((op1 (e11) (e12)) = (e12))/\(((~((op1 (e11) (e10)) = (e11)))\/(~((op1 (e11) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e11) (e12)) = (e11)))\/(~((op1 (e11) (e11)) = (e12))))/\((~((op1 (e11) (e13)) = (e11)))\/(~((op1 (e11) (e11)) = (e13)))))))))\/((((op1 (e12) (e12)) = (e12))/\(((op1 (e12) (e12)) = (e12))/\(((~((op1 (e12) (e10)) = (e12)))\/(~((op1 (e12) (e12)) = (e10))))/\(((~((op1 (e12) (e11)) = (e12)))\/(~((op1 (e12) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13)))))))))\/((((op1 (e12) (e13)) = (e12))/\(((op1 (e13) (e12)) = (e12))/\(((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e13) (e13)) = (e10))))/\(((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11))))/\(((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e13) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13)))))))))\/((((op1 (e13) (e10)) = (e13))/\(((op1 (e10) (e13)) = (e13))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11))))/\(((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12))))/\((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))))))))\/((((op1 (e13) (e11)) = (e13))/\(((op1 (e11) (e13)) = (e13))/\(((~((op1 (e11) (e10)) = (e11)))\/(~((op1 (e11) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e11) (e12)) = (e11)))\/(~((op1 (e11) (e11)) = (e12))))/\((~((op1 (e11) (e13)) = (e11)))\/(~((op1 (e11) (e11)) = (e13)))))))))\/((((op1 (e13) (e12)) = (e13))/\(((op1 (e12) (e13)) = (e13))/\(((~((op1 (e12) (e10)) = (e12)))\/(~((op1 (e12) (e12)) = (e10))))/\(((~((op1 (e12) (e11)) = (e12)))\/(~((op1 (e12) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13)))))))))\/(((op1 (e13) (e13)) = (e13))/\(((op1 (e13) (e13)) = (e13))/\(((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e13) (e13)) = (e10))))/\(((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11))))/\(((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e13) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13)))))))))))))))))))))))) -> (~((op1 (e11) (e11)) = (e11))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> ((e12) = (op1 (op1 (op1 (e11) (e11)) (op1 (e11) (e11))) (op1 (e11) (e11)))) -> ((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) -> ((e10) = (op1 (e11) (e11))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((e12) = (e13))) -> ((op1 (e12) (e11)) = (e12)) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e11)) = (e12))\/((op1 (e10) (e11)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e12))\/((op1 (e11) (e10)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> ((op1 (e11) (op1 (e11) (e12))) = (e12)) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> ((op1 (e12) (e10)) = (e10)) -> ((op1 (e11) (op1 (e11) (e10))) = (e10)) -> (~((h2 (op1 (e12) (e13))) = (op2 (h2 (e12)) (h2 (e13))))) -> ((h2 (e11)) = (e21)) -> ((h2 (e13)) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((h2 (e12)) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> ((op1 (e11) (op1 (e11) (e13))) = (e13)) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (~((op1 (e12) (e12)) = (e12))) -> (~((op1 (e12) (e12)) = (e11))) -> ((op1 (e10) (e12)) = (e10)) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> ((op2 (e21) (op2 (e21) (e20))) = (e20)) -> ((op2 (e21) (e20)) = (e21)) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> ((e23) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((e22) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e20) (e20)) = (e22))) -> False).
% 55.08/55.26 do 0 intro. intros zenon_H22c zenon_H31 zenon_H32 zenon_H33 zenon_Had zenon_H3c2 zenon_Hb9 zenon_H7a zenon_H4a zenon_H45 zenon_Hc5 zenon_H9f zenon_H313 zenon_H1be zenon_H1d8 zenon_H474 zenon_H1b1 zenon_H2b1 zenon_H2a6 zenon_H2a5 zenon_H2a3 zenon_H4e6 zenon_H4e2 zenon_H67 zenon_H6e zenon_H74 zenon_H489 zenon_H40f zenon_H437 zenon_H3b4 zenon_He8 zenon_H3af zenon_H116 zenon_H394 zenon_H395 zenon_H3ee zenon_H3a8 zenon_H481 zenon_H399 zenon_H47a zenon_H3b1 zenon_H60 zenon_H282 zenon_H39d zenon_H4ae zenon_Hb7 zenon_H16c zenon_H4df zenon_H485 zenon_H4c3 zenon_H328 zenon_H246 zenon_H1a0 zenon_H1e zenon_H1f4 zenon_H245 zenon_H473 zenon_H154 zenon_H155 zenon_H15 zenon_H13 zenon_H358 zenon_H2ad zenon_H236 zenon_H202 zenon_H186 zenon_H179 zenon_H206 zenon_H17 zenon_H204 zenon_H1e8 zenon_H15f zenon_H1a9 zenon_H14b zenon_H2c2 zenon_H375 zenon_H30e zenon_H23b zenon_H2b9 zenon_H1cc zenon_H21a zenon_H32b zenon_H301 zenon_H2f8 zenon_H172 zenon_H1fd zenon_H18a zenon_H360 zenon_H316 zenon_H2e6 zenon_H293 zenon_H292 zenon_H505 zenon_H270 zenon_H461 zenon_H44f zenon_H2c0 zenon_H29e zenon_H322 zenon_H25 zenon_H2e7 zenon_H1f7 zenon_H19d zenon_H180 zenon_H32e zenon_H15a zenon_H1ed zenon_H1da zenon_H1d1 zenon_H23f zenon_H18f zenon_H1de zenon_H1fa zenon_H514 zenon_H4e zenon_H517 zenon_Hb0 zenon_H3b zenon_H3f zenon_H3e zenon_Hbd.
% 55.08/55.26 apply (zenon_or_s _ _ zenon_H22c); [ zenon_intro zenon_H27d | zenon_intro zenon_H29d ].
% 55.08/55.26 apply (zenon_or_s _ _ zenon_H4e6); [ zenon_intro zenon_H2d | zenon_intro zenon_H4e7 ].
% 55.08/55.26 exact (zenon_H31 zenon_H2d).
% 55.08/55.26 apply (zenon_or_s _ _ zenon_H4e7); [ zenon_intro zenon_H34 | zenon_intro zenon_H4e8 ].
% 55.08/55.26 apply (zenon_L6_); trivial.
% 55.08/55.26 apply (zenon_or_s _ _ zenon_H4e8); [ zenon_intro zenon_H121 | zenon_intro zenon_H80 ].
% 55.08/55.26 apply (zenon_or_s _ _ zenon_Hb7); [ zenon_intro zenon_Hbf | zenon_intro zenon_Hbe ].
% 55.08/55.26 exact (zenon_Hbd zenon_Hbf).
% 55.08/55.26 apply (zenon_or_s _ _ zenon_Hbe); [ zenon_intro zenon_H40 | zenon_intro zenon_Hc0 ].
% 55.08/55.26 apply (zenon_L8_); trivial.
% 55.08/55.26 apply (zenon_or_s _ _ zenon_Hc0); [ zenon_intro zenon_Hb1 | zenon_intro zenon_H58 ].
% 55.08/55.26 apply (zenon_L30_); trivial.
% 55.08/55.26 apply (zenon_or_s _ _ zenon_H489); [ zenon_intro zenon_H8b | zenon_intro zenon_H48a ].
% 55.08/55.26 exact (zenon_Had zenon_H8b).
% 55.08/55.26 apply (zenon_or_s _ _ zenon_H48a); [ zenon_intro zenon_H3c3 | zenon_intro zenon_H48b ].
% 55.08/55.26 apply (zenon_L352_); trivial.
% 55.08/55.26 apply (zenon_or_s _ _ zenon_H48b); [ zenon_intro zenon_H464 | zenon_intro zenon_H9e ].
% 55.08/55.26 apply (zenon_L922_); trivial.
% 55.08/55.26 apply (zenon_L27_); trivial.
% 55.08/55.26 apply (zenon_L736_); trivial.
% 55.08/55.26 apply (zenon_L144_); trivial.
% 55.08/55.26 (* end of lemma zenon_L923_ *)
% 55.08/55.26 assert (zenon_L924_ : (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e11)) = (e11))) -> ((((op1 (e10) (e10)) = (e10))/\(((op1 (e10) (e10)) = (e10))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11))))/\(((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12))))/\((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))))))))\/((((op1 (e10) (e11)) = (e10))/\(((op1 (e11) (e10)) = (e10))/\(((~((op1 (e11) (e10)) = (e11)))\/(~((op1 (e11) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e11) (e12)) = (e11)))\/(~((op1 (e11) (e11)) = (e12))))/\((~((op1 (e11) (e13)) = (e11)))\/(~((op1 (e11) (e11)) = (e13)))))))))\/((((op1 (e10) (e12)) = (e10))/\(((op1 (e12) (e10)) = (e10))/\(((~((op1 (e12) (e10)) = (e12)))\/(~((op1 (e12) (e12)) = (e10))))/\(((~((op1 (e12) (e11)) = (e12)))\/(~((op1 (e12) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13)))))))))\/((((op1 (e10) (e13)) = (e10))/\(((op1 (e13) (e10)) = (e10))/\(((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e13) (e13)) = (e10))))/\(((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11))))/\(((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e13) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13)))))))))\/((((op1 (e11) (e10)) = (e11))/\(((op1 (e10) (e11)) = (e11))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11))))/\(((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12))))/\((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))))))))\/((((op1 (e11) (e11)) = (e11))/\(((op1 (e11) (e11)) = (e11))/\(((~((op1 (e11) (e10)) = (e11)))\/(~((op1 (e11) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e11) (e12)) = (e11)))\/(~((op1 (e11) (e11)) = (e12))))/\((~((op1 (e11) (e13)) = (e11)))\/(~((op1 (e11) (e11)) = (e13)))))))))\/((((op1 (e11) (e12)) = (e11))/\(((op1 (e12) (e11)) = (e11))/\(((~((op1 (e12) (e10)) = (e12)))\/(~((op1 (e12) (e12)) = (e10))))/\(((~((op1 (e12) (e11)) = (e12)))\/(~((op1 (e12) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13)))))))))\/((((op1 (e11) (e13)) = (e11))/\(((op1 (e13) (e11)) = (e11))/\(((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e13) (e13)) = (e10))))/\(((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11))))/\(((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e13) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13)))))))))\/((((op1 (e12) (e10)) = (e12))/\(((op1 (e10) (e12)) = (e12))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11))))/\(((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12))))/\((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))))))))\/((((op1 (e12) (e11)) = (e12))/\(((op1 (e11) (e12)) = (e12))/\(((~((op1 (e11) (e10)) = (e11)))\/(~((op1 (e11) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e11) (e12)) = (e11)))\/(~((op1 (e11) (e11)) = (e12))))/\((~((op1 (e11) (e13)) = (e11)))\/(~((op1 (e11) (e11)) = (e13)))))))))\/((((op1 (e12) (e12)) = (e12))/\(((op1 (e12) (e12)) = (e12))/\(((~((op1 (e12) (e10)) = (e12)))\/(~((op1 (e12) (e12)) = (e10))))/\(((~((op1 (e12) (e11)) = (e12)))\/(~((op1 (e12) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13)))))))))\/((((op1 (e12) (e13)) = (e12))/\(((op1 (e13) (e12)) = (e12))/\(((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e13) (e13)) = (e10))))/\(((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11))))/\(((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e13) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13)))))))))\/((((op1 (e13) (e10)) = (e13))/\(((op1 (e10) (e13)) = (e13))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11))))/\(((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12))))/\((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))))))))\/((((op1 (e13) (e11)) = (e13))/\(((op1 (e11) (e13)) = (e13))/\(((~((op1 (e11) (e10)) = (e11)))\/(~((op1 (e11) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e11) (e12)) = (e11)))\/(~((op1 (e11) (e11)) = (e12))))/\((~((op1 (e11) (e13)) = (e11)))\/(~((op1 (e11) (e11)) = (e13)))))))))\/((((op1 (e13) (e12)) = (e13))/\(((op1 (e12) (e13)) = (e13))/\(((~((op1 (e12) (e10)) = (e12)))\/(~((op1 (e12) (e12)) = (e10))))/\(((~((op1 (e12) (e11)) = (e12)))\/(~((op1 (e12) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13)))))))))\/(((op1 (e13) (e13)) = (e13))/\(((op1 (e13) (e13)) = (e13))/\(((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e13) (e13)) = (e10))))/\(((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11))))/\(((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e13) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13)))))))))))))))))))))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> ((op1 (e11) (op1 (e11) (e11))) = (e11)) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e20)) = (e20))\/(((op2 (e22) (e20)) = (e20))\/((op2 (e23) (e20)) = (e20))))) -> (~((e20) = (e22))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (((op2 (e23) (e20)) = (e22))\/(((op2 (e23) (e21)) = (e22))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e20) (e20)) = (e22))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> ((e22) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> ((e23) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (((op2 (e21) (e22)) = (e20))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e22)) = (e23))))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> ((op2 (e23) (e21)) = (e23)) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> ((op2 (e21) (e20)) = (e21)) -> ((op2 (e21) (op2 (e21) (e20))) = (e20)) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (~((e10) = (e12))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e10)) = (e12))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e13) (e10)) = (e12))))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> ((op1 (e11) (op1 (e11) (e12))) = (e12)) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((e12) = (e13))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> ((op1 (e11) (op1 (e11) (e10))) = (e10)) -> (~((h2 (op1 (e12) (e13))) = (op2 (h2 (e12)) (h2 (e13))))) -> ((h2 (e11)) = (e21)) -> ((h2 (e13)) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((h2 (e12)) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> ((op2 (e21) (op2 (e21) (e23))) = (e23)) -> (((op2 (e22) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e22) (e23)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> ((op2 (e21) (op2 (e21) (e22))) = (e22)) -> (((op2 (e21) (e20)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/((op2 (e21) (e23)) = (e23))))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (((op2 (e21) (e20)) = (e20))\/(((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e20)) = (e22))\/((op2 (e21) (e20)) = (e23))))) -> (~((op2 (e21) (e21)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e22)) = (op2 (e21) (e23)))) -> (((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e21)) = (e22))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> ((op2 (e20) (e21)) = (e21)) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e23)) = (e20))) -> (((op2 (e20) (e20)) = (e22))\/(((op2 (e21) (e20)) = (e22))\/(((op2 (e22) (e20)) = (e22))\/((op2 (e23) (e20)) = (e22))))) -> ((e20) = (op2 (e21) (e21))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> (~((op2 (e20) (e20)) = (e20))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e11)) = (e12))\/((op1 (e10) (e11)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> ((op1 (e12) (e11)) = (e12)) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e12))\/((op1 (e11) (e10)) = (e13))))) -> ((e12) = (op1 (op1 (op1 (e11) (e11)) (op1 (e11) (e11))) (op1 (e11) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> ((op1 (e11) (op1 (e11) (e13))) = (e13)) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> ((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) -> ((e10) = (op1 (e11) (e11))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> False).
% 55.08/55.26 do 0 intro. intros zenon_H1fa zenon_H1de zenon_H1da zenon_H1ed zenon_H32e zenon_H358 zenon_H473 zenon_H245 zenon_H2a3 zenon_H2a5 zenon_H2a6 zenon_H2b1 zenon_H1b1 zenon_H474 zenon_H1d8 zenon_H1be zenon_H313 zenon_H4e6 zenon_H4e2 zenon_H67 zenon_H6e zenon_H74 zenon_Hbd zenon_H3e zenon_H3f zenon_H3b zenon_Hb0 zenon_H489 zenon_H40f zenon_H437 zenon_H3b4 zenon_He8 zenon_H3af zenon_H517 zenon_H4e zenon_H514 zenon_H4df zenon_H16c zenon_H485 zenon_H4c3 zenon_H1e8 zenon_H375 zenon_H30e zenon_H2ad zenon_H23b zenon_H1cc zenon_H236 zenon_H32b zenon_H301 zenon_H2f8 zenon_H18a zenon_H360 zenon_H316 zenon_H2e6 zenon_H292 zenon_H505 zenon_H270 zenon_H461 zenon_H44f zenon_H322 zenon_H2e7 zenon_H1f7 zenon_H328 zenon_H116 zenon_H394 zenon_H395 zenon_H3ee zenon_H9f zenon_H3a8 zenon_H481 zenon_H399 zenon_Hc5 zenon_H45 zenon_H4a zenon_H7a zenon_H47a zenon_H3b1 zenon_H60 zenon_H282 zenon_H39d zenon_H4ae zenon_Hb9 zenon_H3c2 zenon_Had zenon_Hb7 zenon_H33 zenon_H32 zenon_H31 zenon_H246 zenon_H1a0 zenon_H1e zenon_H1a9 zenon_H180 zenon_H172 zenon_H206 zenon_H19d zenon_H1fd zenon_H202 zenon_H204 zenon_H17 zenon_H186 zenon_H21a zenon_H179 zenon_H25 zenon_H15f zenon_H155 zenon_H154 zenon_H14b zenon_H29e zenon_H2c0 zenon_H1f4 zenon_H15 zenon_H13 zenon_H2b9 zenon_H15a zenon_H2c2.
% 55.08/55.26 apply (zenon_or_s _ _ zenon_H245); [ zenon_intro zenon_H147 | zenon_intro zenon_H254 ].
% 55.08/55.26 apply (zenon_L60_); trivial.
% 55.08/55.26 apply (zenon_or_s _ _ zenon_H254); [ zenon_intro zenon_H164 | zenon_intro zenon_H255 ].
% 55.08/55.26 apply (zenon_L66_); trivial.
% 55.08/55.26 apply (zenon_or_s _ _ zenon_H255); [ zenon_intro zenon_H197 | zenon_intro zenon_H256 ].
% 55.08/55.26 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_H18f. zenon_intro zenon_H198.
% 55.08/55.26 apply (zenon_and_s _ _ zenon_H198). zenon_intro zenon_H293. zenon_intro zenon_H227.
% 55.08/55.26 apply (zenon_and_s _ _ zenon_H227). zenon_intro zenon_H229. zenon_intro zenon_H228.
% 55.08/55.26 apply (zenon_and_s _ _ zenon_H228). zenon_intro zenon_H22b. zenon_intro zenon_H22a.
% 55.08/55.26 apply (zenon_and_s _ _ zenon_H22a). zenon_intro zenon_H224. zenon_intro zenon_H22c.
% 55.08/55.26 apply (zenon_or_s _ _ zenon_H22b); [ zenon_intro zenon_H23c | zenon_intro zenon_H23f ].
% 55.08/55.26 exact (zenon_H23c zenon_H202).
% 55.08/55.26 apply (zenon_or_s _ _ zenon_H224); [ zenon_intro zenon_H1d1 | zenon_intro zenon_H1d1 ].
% 55.08/55.26 apply (zenon_L923_); trivial.
% 55.08/55.26 apply (zenon_L923_); trivial.
% 55.08/55.26 apply (zenon_or_s _ _ zenon_H256); [ zenon_intro zenon_H199 | zenon_intro zenon_H257 ].
% 55.08/55.26 apply (zenon_L77_); trivial.
% 55.08/55.26 apply (zenon_or_s _ _ zenon_H257); [ zenon_intro zenon_H259 | zenon_intro zenon_H258 ].
% 55.08/55.26 apply (zenon_L916_); trivial.
% 55.08/55.26 apply (zenon_or_s _ _ zenon_H258); [ zenon_intro zenon_H1a5 | zenon_intro zenon_H262 ].
% 55.08/55.26 apply (zenon_L80_); trivial.
% 55.08/55.26 apply (zenon_or_s _ _ zenon_H262); [ zenon_intro zenon_H1ae | zenon_intro zenon_H263 ].
% 55.08/55.26 apply (zenon_L83_); trivial.
% 55.08/55.26 apply (zenon_or_s _ _ zenon_H263); [ zenon_intro zenon_H212 | zenon_intro zenon_H264 ].
% 55.08/55.26 apply (zenon_L169_); trivial.
% 55.08/55.26 apply (zenon_or_s _ _ zenon_H264); [ zenon_intro zenon_H220 | zenon_intro zenon_H265 ].
% 55.08/55.26 apply (zenon_L110_); trivial.
% 55.08/55.26 apply (zenon_or_s _ _ zenon_H265); [ zenon_intro zenon_H222 | zenon_intro zenon_H266 ].
% 55.08/55.26 apply (zenon_L111_); trivial.
% 55.08/55.26 apply (zenon_or_s _ _ zenon_H266); [ zenon_intro zenon_H225 | zenon_intro zenon_H267 ].
% 55.08/55.26 apply (zenon_L113_); trivial.
% 55.08/55.26 apply (zenon_or_s _ _ zenon_H267); [ zenon_intro zenon_H22d | zenon_intro zenon_H268 ].
% 55.08/55.26 apply (zenon_L114_); trivial.
% 55.08/55.26 apply (zenon_or_s _ _ zenon_H268); [ zenon_intro zenon_H230 | zenon_intro zenon_H269 ].
% 55.08/55.26 apply (zenon_L115_); trivial.
% 55.08/55.26 apply (zenon_or_s _ _ zenon_H269); [ zenon_intro zenon_H232 | zenon_intro zenon_H26a ].
% 55.08/55.26 apply (zenon_L116_); trivial.
% 55.08/55.26 apply (zenon_or_s _ _ zenon_H26a); [ zenon_intro zenon_H240 | zenon_intro zenon_H242 ].
% 55.08/55.26 apply (zenon_L166_); trivial.
% 55.08/55.26 apply (zenon_L125_); trivial.
% 55.08/55.26 (* end of lemma zenon_L924_ *)
% 55.08/55.26 assert (zenon_L925_ : (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> ((e10) = (op1 (e11) (e11))) -> ((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> ((op1 (e11) (op1 (e11) (e13))) = (e13)) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> ((e12) = (op1 (op1 (op1 (e11) (e11)) (op1 (e11) (e11))) (op1 (e11) (e11)))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e12))\/((op1 (e11) (e10)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e11)) = (e12))\/((op1 (e10) (e11)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (~((op2 (e20) (e20)) = (e20))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> ((e20) = (op2 (e21) (e21))) -> (((op2 (e20) (e20)) = (e22))\/(((op2 (e21) (e20)) = (e22))\/(((op2 (e22) (e20)) = (e22))\/((op2 (e23) (e20)) = (e22))))) -> (~((op2 (e20) (e23)) = (e20))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> ((op2 (e20) (e21)) = (e21)) -> (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e21)) = (e22))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e21) (e22)) = (op2 (e21) (e23)))) -> (~((op2 (e21) (e21)) = (op2 (e21) (e22)))) -> (((op2 (e21) (e20)) = (e20))\/(((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e20)) = (e22))\/((op2 (e21) (e20)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> (((op2 (e21) (e20)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/((op2 (e21) (e23)) = (e23))))) -> ((op2 (e21) (op2 (e21) (e22))) = (e22)) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (((op2 (e22) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e22) (e23)) = (e23))))) -> ((op2 (e21) (op2 (e21) (e23))) = (e23)) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> ((h2 (e12)) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> ((h2 (e13)) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((h2 (e11)) = (e21)) -> (~((h2 (op1 (e12) (e13))) = (op2 (h2 (e12)) (h2 (e13))))) -> ((op1 (e11) (op1 (e11) (e10))) = (e10)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((e12) = (e13))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> ((op1 (e11) (op1 (e11) (e12))) = (e12)) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e10)) = (e12))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e13) (e10)) = (e12))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (~((e10) = (e12))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> ((op2 (e21) (op2 (e21) (e20))) = (e20)) -> ((op2 (e21) (e20)) = (e21)) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> ((op2 (e23) (e21)) = (e23)) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (((op2 (e21) (e22)) = (e20))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e22)) = (e23))))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> ((e23) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((e22) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e20) (e20)) = (e22))) -> (((op2 (e23) (e20)) = (e22))\/(((op2 (e23) (e21)) = (e22))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (~((e20) = (e22))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e20)) = (e20))\/(((op2 (e22) (e20)) = (e20))\/((op2 (e23) (e20)) = (e20))))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> ((op1 (e11) (op1 (e11) (e11))) = (e11)) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> ((((op1 (e10) (e10)) = (e10))/\(((op1 (e10) (e10)) = (e10))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11))))/\(((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12))))/\((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))))))))\/((((op1 (e10) (e11)) = (e10))/\(((op1 (e11) (e10)) = (e10))/\(((~((op1 (e11) (e10)) = (e11)))\/(~((op1 (e11) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e11) (e12)) = (e11)))\/(~((op1 (e11) (e11)) = (e12))))/\((~((op1 (e11) (e13)) = (e11)))\/(~((op1 (e11) (e11)) = (e13)))))))))\/((((op1 (e10) (e12)) = (e10))/\(((op1 (e12) (e10)) = (e10))/\(((~((op1 (e12) (e10)) = (e12)))\/(~((op1 (e12) (e12)) = (e10))))/\(((~((op1 (e12) (e11)) = (e12)))\/(~((op1 (e12) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13)))))))))\/((((op1 (e10) (e13)) = (e10))/\(((op1 (e13) (e10)) = (e10))/\(((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e13) (e13)) = (e10))))/\(((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11))))/\(((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e13) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13)))))))))\/((((op1 (e11) (e10)) = (e11))/\(((op1 (e10) (e11)) = (e11))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11))))/\(((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12))))/\((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))))))))\/((((op1 (e11) (e11)) = (e11))/\(((op1 (e11) (e11)) = (e11))/\(((~((op1 (e11) (e10)) = (e11)))\/(~((op1 (e11) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e11) (e12)) = (e11)))\/(~((op1 (e11) (e11)) = (e12))))/\((~((op1 (e11) (e13)) = (e11)))\/(~((op1 (e11) (e11)) = (e13)))))))))\/((((op1 (e11) (e12)) = (e11))/\(((op1 (e12) (e11)) = (e11))/\(((~((op1 (e12) (e10)) = (e12)))\/(~((op1 (e12) (e12)) = (e10))))/\(((~((op1 (e12) (e11)) = (e12)))\/(~((op1 (e12) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13)))))))))\/((((op1 (e11) (e13)) = (e11))/\(((op1 (e13) (e11)) = (e11))/\(((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e13) (e13)) = (e10))))/\(((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11))))/\(((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e13) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13)))))))))\/((((op1 (e12) (e10)) = (e12))/\(((op1 (e10) (e12)) = (e12))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11))))/\(((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12))))/\((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))))))))\/((((op1 (e12) (e11)) = (e12))/\(((op1 (e11) (e12)) = (e12))/\(((~((op1 (e11) (e10)) = (e11)))\/(~((op1 (e11) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e11) (e12)) = (e11)))\/(~((op1 (e11) (e11)) = (e12))))/\((~((op1 (e11) (e13)) = (e11)))\/(~((op1 (e11) (e11)) = (e13)))))))))\/((((op1 (e12) (e12)) = (e12))/\(((op1 (e12) (e12)) = (e12))/\(((~((op1 (e12) (e10)) = (e12)))\/(~((op1 (e12) (e12)) = (e10))))/\(((~((op1 (e12) (e11)) = (e12)))\/(~((op1 (e12) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13)))))))))\/((((op1 (e12) (e13)) = (e12))/\(((op1 (e13) (e12)) = (e12))/\(((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e13) (e13)) = (e10))))/\(((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11))))/\(((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e13) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13)))))))))\/((((op1 (e13) (e10)) = (e13))/\(((op1 (e10) (e13)) = (e13))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11))))/\(((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12))))/\((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))))))))\/((((op1 (e13) (e11)) = (e13))/\(((op1 (e11) (e13)) = (e13))/\(((~((op1 (e11) (e10)) = (e11)))\/(~((op1 (e11) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e11) (e12)) = (e11)))\/(~((op1 (e11) (e11)) = (e12))))/\((~((op1 (e11) (e13)) = (e11)))\/(~((op1 (e11) (e11)) = (e13)))))))))\/((((op1 (e13) (e12)) = (e13))/\(((op1 (e12) (e13)) = (e13))/\(((~((op1 (e12) (e10)) = (e12)))\/(~((op1 (e12) (e12)) = (e10))))/\(((~((op1 (e12) (e11)) = (e12)))\/(~((op1 (e12) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13)))))))))\/(((op1 (e13) (e13)) = (e13))/\(((op1 (e13) (e13)) = (e13))/\(((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e13) (e13)) = (e10))))/\(((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11))))/\(((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e13) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13)))))))))))))))))))))))) -> (~((op1 (e11) (e11)) = (e11))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e12) (e12)) = (e12))) -> (~((op1 (e12) (e13)) = (e12))) -> False).
% 55.08/55.26 do 0 intro. intros zenon_H2c2 zenon_H15a zenon_H2b9 zenon_H13 zenon_H15 zenon_H1f4 zenon_H2c0 zenon_H29e zenon_H14b zenon_H154 zenon_H155 zenon_H15f zenon_H25 zenon_H179 zenon_H21a zenon_H186 zenon_H17 zenon_H204 zenon_H1fd zenon_H19d zenon_H206 zenon_H172 zenon_H180 zenon_H1a9 zenon_H1e zenon_H1a0 zenon_H246 zenon_H31 zenon_H32 zenon_H33 zenon_Hb7 zenon_Had zenon_H3c2 zenon_Hb9 zenon_H4ae zenon_H39d zenon_H282 zenon_H60 zenon_H3b1 zenon_H47a zenon_H7a zenon_H4a zenon_H45 zenon_Hc5 zenon_H399 zenon_H481 zenon_H3a8 zenon_H9f zenon_H3ee zenon_H395 zenon_H394 zenon_H116 zenon_H328 zenon_H1f7 zenon_H2e7 zenon_H322 zenon_H44f zenon_H461 zenon_H270 zenon_H505 zenon_H292 zenon_H2e6 zenon_H316 zenon_H360 zenon_H18a zenon_H2f8 zenon_H301 zenon_H32b zenon_H236 zenon_H1cc zenon_H23b zenon_H2ad zenon_H30e zenon_H375 zenon_H1e8 zenon_H4c3 zenon_H485 zenon_H16c zenon_H4df zenon_H514 zenon_H4e zenon_H517 zenon_H3af zenon_He8 zenon_H3b4 zenon_H437 zenon_H40f zenon_H489 zenon_Hb0 zenon_H3b zenon_H3f zenon_H3e zenon_Hbd zenon_H74 zenon_H6e zenon_H67 zenon_H4e2 zenon_H4e6 zenon_H313 zenon_H1be zenon_H1d8 zenon_H474 zenon_H1b1 zenon_H2b1 zenon_H2a6 zenon_H2a5 zenon_H2a3 zenon_H245 zenon_H473 zenon_H358 zenon_H32e zenon_H1ed zenon_H1da zenon_H1de zenon_H1fa zenon_H1d1 zenon_H27d.
% 55.08/55.26 apply (zenon_or_s _ _ zenon_H23b); [ zenon_intro zenon_H21b | zenon_intro zenon_H23d ].
% 55.08/55.26 apply (zenon_L109_); trivial.
% 55.08/55.26 apply (zenon_or_s _ _ zenon_H23d); [ zenon_intro zenon_H202 | zenon_intro zenon_H23e ].
% 55.08/55.26 apply (zenon_L924_); trivial.
% 55.08/55.26 apply (zenon_or_s _ _ zenon_H23e); [ zenon_intro zenon_H1cb | zenon_intro zenon_H22f ].
% 55.08/55.26 exact (zenon_H1d1 zenon_H1cb).
% 55.08/55.26 exact (zenon_H27d zenon_H22f).
% 55.08/55.26 (* end of lemma zenon_L925_ *)
% 55.08/55.26 assert (zenon_L926_ : ((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13)))) -> (~((op1 (e12) (e12)) = (e11))) -> ((op1 (e10) (e12)) = (e10)) -> ((op1 (e12) (e10)) = (e10)) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> ((e12) = (op1 (op1 (op1 (e11) (e11)) (op1 (e11) (e11))) (op1 (e11) (e11)))) -> ((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) -> ((e10) = (op1 (e11) (e11))) -> (~((op2 (e20) (e20)) = (e20))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> ((e20) = (op2 (e21) (e21))) -> (~((op2 (e20) (e23)) = (e20))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> ((op2 (e20) (e21)) = (e21)) -> (~((op2 (e21) (e21)) = (op2 (e21) (e22)))) -> (((op2 (e21) (e20)) = (e20))\/(((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e20)) = (e22))\/((op2 (e21) (e20)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> ((op1 (e11) (op1 (e11) (e11))) = (e11)) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e20)) = (e20))\/(((op2 (e22) (e20)) = (e20))\/((op2 (e23) (e20)) = (e20))))) -> (~((e20) = (e22))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (((op2 (e23) (e20)) = (e22))\/(((op2 (e23) (e21)) = (e22))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (((op2 (e21) (e22)) = (e20))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e22)) = (e23))))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> ((op2 (e23) (e21)) = (e23)) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> ((op2 (e21) (op2 (e21) (e23))) = (e23)) -> (((op2 (e22) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e22) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> ((op2 (e21) (op2 (e21) (e22))) = (e22)) -> (((op2 (e21) (e20)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/((op2 (e21) (e23)) = (e23))))) -> (~((op2 (e21) (e22)) = (op2 (e21) (e23)))) -> (((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e21)) = (e22))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> (((op2 (e20) (e20)) = (e22))\/(((op2 (e21) (e20)) = (e22))\/(((op2 (e22) (e20)) = (e22))\/((op2 (e23) (e20)) = (e22))))) -> (~((e10) = (e12))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e10)) = (e12))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e13) (e10)) = (e12))))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> ((((op1 (e10) (e10)) = (e10))/\(((op1 (e10) (e10)) = (e10))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11))))/\(((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12))))/\((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))))))))\/((((op1 (e10) (e11)) = (e10))/\(((op1 (e11) (e10)) = (e10))/\(((~((op1 (e11) (e10)) = (e11)))\/(~((op1 (e11) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e11) (e12)) = (e11)))\/(~((op1 (e11) (e11)) = (e12))))/\((~((op1 (e11) (e13)) = (e11)))\/(~((op1 (e11) (e11)) = (e13)))))))))\/((((op1 (e10) (e12)) = (e10))/\(((op1 (e12) (e10)) = (e10))/\(((~((op1 (e12) (e10)) = (e12)))\/(~((op1 (e12) (e12)) = (e10))))/\(((~((op1 (e12) (e11)) = (e12)))\/(~((op1 (e12) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13)))))))))\/((((op1 (e10) (e13)) = (e10))/\(((op1 (e13) (e10)) = (e10))/\(((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e13) (e13)) = (e10))))/\(((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11))))/\(((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e13) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13)))))))))\/((((op1 (e11) (e10)) = (e11))/\(((op1 (e10) (e11)) = (e11))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11))))/\(((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12))))/\((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))))))))\/((((op1 (e11) (e11)) = (e11))/\(((op1 (e11) (e11)) = (e11))/\(((~((op1 (e11) (e10)) = (e11)))\/(~((op1 (e11) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e11) (e12)) = (e11)))\/(~((op1 (e11) (e11)) = (e12))))/\((~((op1 (e11) (e13)) = (e11)))\/(~((op1 (e11) (e11)) = (e13)))))))))\/((((op1 (e11) (e12)) = (e11))/\(((op1 (e12) (e11)) = (e11))/\(((~((op1 (e12) (e10)) = (e12)))\/(~((op1 (e12) (e12)) = (e10))))/\(((~((op1 (e12) (e11)) = (e12)))\/(~((op1 (e12) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13)))))))))\/((((op1 (e11) (e13)) = (e11))/\(((op1 (e13) (e11)) = (e11))/\(((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e13) (e13)) = (e10))))/\(((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11))))/\(((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e13) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13)))))))))\/((((op1 (e12) (e10)) = (e12))/\(((op1 (e10) (e12)) = (e12))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11))))/\(((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12))))/\((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))))))))\/((((op1 (e12) (e11)) = (e12))/\(((op1 (e11) (e12)) = (e12))/\(((~((op1 (e11) (e10)) = (e11)))\/(~((op1 (e11) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e11) (e12)) = (e11)))\/(~((op1 (e11) (e11)) = (e12))))/\((~((op1 (e11) (e13)) = (e11)))\/(~((op1 (e11) (e11)) = (e13)))))))))\/((((op1 (e12) (e12)) = (e12))/\(((op1 (e12) (e12)) = (e12))/\(((~((op1 (e12) (e10)) = (e12)))\/(~((op1 (e12) (e12)) = (e10))))/\(((~((op1 (e12) (e11)) = (e12)))\/(~((op1 (e12) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13)))))))))\/((((op1 (e12) (e13)) = (e12))/\(((op1 (e13) (e12)) = (e12))/\(((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e13) (e13)) = (e10))))/\(((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11))))/\(((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e13) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13)))))))))\/((((op1 (e13) (e10)) = (e13))/\(((op1 (e10) (e13)) = (e13))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11))))/\(((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12))))/\((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))))))))\/((((op1 (e13) (e11)) = (e13))/\(((op1 (e11) (e13)) = (e13))/\(((~((op1 (e11) (e10)) = (e11)))\/(~((op1 (e11) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e11) (e12)) = (e11)))\/(~((op1 (e11) (e11)) = (e12))))/\((~((op1 (e11) (e13)) = (e11)))\/(~((op1 (e11) (e11)) = (e13)))))))))\/((((op1 (e13) (e12)) = (e13))/\(((op1 (e12) (e13)) = (e13))/\(((~((op1 (e12) (e10)) = (e12)))\/(~((op1 (e12) (e12)) = (e10))))/\(((~((op1 (e12) (e11)) = (e12)))\/(~((op1 (e12) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13)))))))))\/(((op1 (e13) (e13)) = (e13))/\(((op1 (e13) (e13)) = (e13))/\(((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e13) (e13)) = (e10))))/\(((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11))))/\(((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e13) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13)))))))))))))))))))))))) -> (~((op1 (e11) (e11)) = (e11))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((e12) = (e13))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e11)) = (e12))\/((op1 (e10) (e11)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> ((op1 (e11) (op1 (e11) (e12))) = (e12)) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> ((op1 (e11) (op1 (e11) (e10))) = (e10)) -> (~((h2 (op1 (e12) (e13))) = (op2 (h2 (e12)) (h2 (e13))))) -> ((h2 (e11)) = (e21)) -> ((h2 (e13)) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((h2 (e12)) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> ((op1 (e11) (op1 (e11) (e13))) = (e13)) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> ((op2 (e21) (op2 (e21) (e20))) = (e20)) -> ((op2 (e21) (e20)) = (e21)) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> ((e23) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((e22) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e20) (e20)) = (e22))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e12))\/((op1 (e11) (e10)) = (e13))))) -> (~((op1 (e12) (e12)) = (e12))) -> False).
% 55.08/55.26 do 0 intro. intros zenon_H22c zenon_H23f zenon_H18f zenon_H293 zenon_H21a zenon_H155 zenon_H15 zenon_H13 zenon_H31 zenon_H32 zenon_H33 zenon_Had zenon_H3c2 zenon_Hb9 zenon_H7a zenon_H4a zenon_H45 zenon_Hc5 zenon_H9f zenon_H313 zenon_H1be zenon_H1d8 zenon_H474 zenon_H1b1 zenon_H2b1 zenon_H2a6 zenon_H2a5 zenon_H2a3 zenon_H4e6 zenon_H4e2 zenon_H67 zenon_H6e zenon_H74 zenon_H489 zenon_H40f zenon_H437 zenon_H3b4 zenon_He8 zenon_H3af zenon_H116 zenon_H394 zenon_H395 zenon_H3ee zenon_H3a8 zenon_H481 zenon_H399 zenon_H47a zenon_H3b1 zenon_H60 zenon_H282 zenon_H39d zenon_H4ae zenon_Hb7 zenon_H16c zenon_H4df zenon_H485 zenon_H4c3 zenon_H328 zenon_H246 zenon_H1a0 zenon_H1e zenon_H1f4 zenon_H245 zenon_H473 zenon_H358 zenon_H2ad zenon_H236 zenon_H186 zenon_H179 zenon_H206 zenon_H17 zenon_H204 zenon_H1e8 zenon_H1a9 zenon_H2c2 zenon_H375 zenon_H30e zenon_H23b zenon_H2b9 zenon_H1cc zenon_H32b zenon_H301 zenon_H2f8 zenon_H172 zenon_H1fd zenon_H18a zenon_H360 zenon_H316 zenon_H2e6 zenon_H292 zenon_H505 zenon_H270 zenon_H461 zenon_H44f zenon_H2c0 zenon_H29e zenon_H322 zenon_H25 zenon_H2e7 zenon_H1f7 zenon_H19d zenon_H180 zenon_H32e zenon_H1ed zenon_H1da zenon_H1de zenon_H1fa zenon_H514 zenon_H4e zenon_H517 zenon_Hb0 zenon_H3b zenon_H3f zenon_H3e zenon_Hbd zenon_H14b zenon_H154 zenon_H15a zenon_H15f zenon_H1d1.
% 55.08/55.27 apply (zenon_or_s _ _ zenon_H22c); [ zenon_intro zenon_H27d | zenon_intro zenon_H29d ].
% 55.08/55.27 apply (zenon_L925_); trivial.
% 55.08/55.27 apply (zenon_L144_); trivial.
% 55.08/55.27 (* end of lemma zenon_L926_ *)
% 55.08/55.27 assert (zenon_L927_ : (((op1 (e10) (e12)) = (e10))/\(((op1 (e12) (e10)) = (e10))/\(((~((op1 (e12) (e10)) = (e12)))\/(~((op1 (e12) (e12)) = (e10))))/\(((~((op1 (e12) (e11)) = (e12)))\/(~((op1 (e12) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13))))))))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e12))\/((op1 (e11) (e10)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (~((op2 (e20) (e20)) = (e22))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> ((e22) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> ((e23) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> ((op2 (e21) (e20)) = (e21)) -> ((op2 (e21) (op2 (e21) (e20))) = (e20)) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> ((op1 (e11) (op1 (e11) (e13))) = (e13)) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> ((h2 (e12)) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> ((h2 (e13)) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((h2 (e11)) = (e21)) -> (~((h2 (op1 (e12) (e13))) = (op2 (h2 (e12)) (h2 (e13))))) -> ((op1 (e11) (op1 (e11) (e10))) = (e10)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> ((op1 (e11) (op1 (e11) (e12))) = (e12)) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e11)) = (e12))\/((op1 (e10) (e11)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((e12) = (e13))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e11)) = (e11))) -> ((((op1 (e10) (e10)) = (e10))/\(((op1 (e10) (e10)) = (e10))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11))))/\(((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12))))/\((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))))))))\/((((op1 (e10) (e11)) = (e10))/\(((op1 (e11) (e10)) = (e10))/\(((~((op1 (e11) (e10)) = (e11)))\/(~((op1 (e11) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e11) (e12)) = (e11)))\/(~((op1 (e11) (e11)) = (e12))))/\((~((op1 (e11) (e13)) = (e11)))\/(~((op1 (e11) (e11)) = (e13)))))))))\/((((op1 (e10) (e12)) = (e10))/\(((op1 (e12) (e10)) = (e10))/\(((~((op1 (e12) (e10)) = (e12)))\/(~((op1 (e12) (e12)) = (e10))))/\(((~((op1 (e12) (e11)) = (e12)))\/(~((op1 (e12) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13)))))))))\/((((op1 (e10) (e13)) = (e10))/\(((op1 (e13) (e10)) = (e10))/\(((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e13) (e13)) = (e10))))/\(((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11))))/\(((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e13) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13)))))))))\/((((op1 (e11) (e10)) = (e11))/\(((op1 (e10) (e11)) = (e11))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11))))/\(((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12))))/\((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))))))))\/((((op1 (e11) (e11)) = (e11))/\(((op1 (e11) (e11)) = (e11))/\(((~((op1 (e11) (e10)) = (e11)))\/(~((op1 (e11) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e11) (e12)) = (e11)))\/(~((op1 (e11) (e11)) = (e12))))/\((~((op1 (e11) (e13)) = (e11)))\/(~((op1 (e11) (e11)) = (e13)))))))))\/((((op1 (e11) (e12)) = (e11))/\(((op1 (e12) (e11)) = (e11))/\(((~((op1 (e12) (e10)) = (e12)))\/(~((op1 (e12) (e12)) = (e10))))/\(((~((op1 (e12) (e11)) = (e12)))\/(~((op1 (e12) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13)))))))))\/((((op1 (e11) (e13)) = (e11))/\(((op1 (e13) (e11)) = (e11))/\(((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e13) (e13)) = (e10))))/\(((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11))))/\(((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e13) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13)))))))))\/((((op1 (e12) (e10)) = (e12))/\(((op1 (e10) (e12)) = (e12))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11))))/\(((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12))))/\((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))))))))\/((((op1 (e12) (e11)) = (e12))/\(((op1 (e11) (e12)) = (e12))/\(((~((op1 (e11) (e10)) = (e11)))\/(~((op1 (e11) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e11) (e12)) = (e11)))\/(~((op1 (e11) (e11)) = (e12))))/\((~((op1 (e11) (e13)) = (e11)))\/(~((op1 (e11) (e11)) = (e13)))))))))\/((((op1 (e12) (e12)) = (e12))/\(((op1 (e12) (e12)) = (e12))/\(((~((op1 (e12) (e10)) = (e12)))\/(~((op1 (e12) (e12)) = (e10))))/\(((~((op1 (e12) (e11)) = (e12)))\/(~((op1 (e12) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13)))))))))\/((((op1 (e12) (e13)) = (e12))/\(((op1 (e13) (e12)) = (e12))/\(((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e13) (e13)) = (e10))))/\(((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11))))/\(((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e13) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13)))))))))\/((((op1 (e13) (e10)) = (e13))/\(((op1 (e10) (e13)) = (e13))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11))))/\(((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12))))/\((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))))))))\/((((op1 (e13) (e11)) = (e13))/\(((op1 (e11) (e13)) = (e13))/\(((~((op1 (e11) (e10)) = (e11)))\/(~((op1 (e11) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e11) (e12)) = (e11)))\/(~((op1 (e11) (e11)) = (e12))))/\((~((op1 (e11) (e13)) = (e11)))\/(~((op1 (e11) (e11)) = (e13)))))))))\/((((op1 (e13) (e12)) = (e13))/\(((op1 (e12) (e13)) = (e13))/\(((~((op1 (e12) (e10)) = (e12)))\/(~((op1 (e12) (e12)) = (e10))))/\(((~((op1 (e12) (e11)) = (e12)))\/(~((op1 (e12) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13)))))))))\/(((op1 (e13) (e13)) = (e13))/\(((op1 (e13) (e13)) = (e13))/\(((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e13) (e13)) = (e10))))/\(((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11))))/\(((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e13) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13)))))))))))))))))))))))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (((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 (e10) (e10)) = (e12))\/(((op1 (e11) (e10)) = (e12))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e13) (e10)) = (e12))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (~((e10) = (e12))) -> (((op2 (e20) (e20)) = (e22))\/(((op2 (e21) (e20)) = (e22))\/(((op2 (e22) (e20)) = (e22))\/((op2 (e23) (e20)) = (e22))))) -> (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e21)) = (e22))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e21) (e22)) = (op2 (e21) (e23)))) -> (((op2 (e21) (e20)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/((op2 (e21) (e23)) = (e23))))) -> ((op2 (e21) (op2 (e21) (e22))) = (e22)) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (((op2 (e22) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e22) (e23)) = (e23))))) -> ((op2 (e21) (op2 (e21) (e23))) = (e23)) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> ((op2 (e23) (e21)) = (e23)) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (((op2 (e21) (e22)) = (e20))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e22)) = (e23))))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (((op2 (e23) (e20)) = (e22))\/(((op2 (e23) (e21)) = (e22))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (~((e20) = (e22))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e20)) = (e20))\/(((op2 (e22) (e20)) = (e20))\/((op2 (e23) (e20)) = (e20))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> ((op1 (e11) (op1 (e11) (e11))) = (e11)) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (((op2 (e21) (e20)) = (e20))\/(((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e20)) = (e22))\/((op2 (e21) (e20)) = (e23))))) -> (~((op2 (e21) (e21)) = (op2 (e21) (e22)))) -> ((op2 (e20) (e21)) = (e21)) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e23)) = (e20))) -> ((e20) = (op2 (e21) (e21))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> (~((op2 (e20) (e20)) = (e20))) -> ((e10) = (op1 (e11) (e11))) -> ((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) -> ((e12) = (op1 (op1 (op1 (e11) (e11)) (op1 (e11) (e11))) (op1 (e11) (e11)))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e12) (e12)) = (e11))) -> False).
% 55.08/55.27 do 0 intro. intros zenon_H197 zenon_H15f zenon_H15a zenon_H154 zenon_H14b zenon_Hbd zenon_H3e zenon_H3f zenon_H3b zenon_Hb0 zenon_H517 zenon_H4e zenon_H514 zenon_H1fa zenon_H1de zenon_H1da zenon_H1ed zenon_H32e zenon_H180 zenon_H19d zenon_H1f7 zenon_H2e7 zenon_H25 zenon_H322 zenon_H29e zenon_H2c0 zenon_H44f zenon_H461 zenon_H270 zenon_H505 zenon_H292 zenon_H2e6 zenon_H316 zenon_H360 zenon_H18a zenon_H1fd zenon_H172 zenon_H2f8 zenon_H301 zenon_H32b zenon_H1cc zenon_H2b9 zenon_H23b zenon_H30e zenon_H375 zenon_H2c2 zenon_H1a9 zenon_H1e8 zenon_H204 zenon_H17 zenon_H206 zenon_H179 zenon_H186 zenon_H236 zenon_H2ad zenon_H358 zenon_H473 zenon_H245 zenon_H1f4 zenon_H1e zenon_H1a0 zenon_H246 zenon_H328 zenon_H4c3 zenon_H485 zenon_H4df zenon_H16c zenon_Hb7 zenon_H4ae zenon_H39d zenon_H282 zenon_H60 zenon_H3b1 zenon_H47a zenon_H399 zenon_H481 zenon_H3a8 zenon_H3ee zenon_H395 zenon_H394 zenon_H116 zenon_H3af zenon_He8 zenon_H3b4 zenon_H437 zenon_H40f zenon_H489 zenon_H74 zenon_H6e zenon_H67 zenon_H4e2 zenon_H4e6 zenon_H2a3 zenon_H2a5 zenon_H2a6 zenon_H2b1 zenon_H1b1 zenon_H474 zenon_H1d8 zenon_H1be zenon_H313 zenon_H9f zenon_Hc5 zenon_H45 zenon_H4a zenon_H7a zenon_Hb9 zenon_H3c2 zenon_Had zenon_H33 zenon_H32 zenon_H31 zenon_H13 zenon_H15 zenon_H155 zenon_H21a zenon_H23f.
% 55.08/55.27 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_H18f. zenon_intro zenon_H198.
% 55.08/55.27 apply (zenon_and_s _ _ zenon_H198). zenon_intro zenon_H293. zenon_intro zenon_H227.
% 55.08/55.27 apply (zenon_and_s _ _ zenon_H227). zenon_intro zenon_H229. zenon_intro zenon_H228.
% 55.08/55.27 apply (zenon_and_s _ _ zenon_H228). zenon_intro zenon_H22b. zenon_intro zenon_H22a.
% 55.08/55.27 apply (zenon_and_s _ _ zenon_H22a). zenon_intro zenon_H224. zenon_intro zenon_H22c.
% 55.08/55.27 apply (zenon_or_s _ _ zenon_H224); [ zenon_intro zenon_H1d1 | zenon_intro zenon_H1d1 ].
% 55.08/55.27 apply (zenon_L926_); trivial.
% 55.08/55.27 apply (zenon_L926_); trivial.
% 55.08/55.27 (* end of lemma zenon_L927_ *)
% 55.08/55.27 assert (zenon_L928_ : (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> ((((op1 (e10) (e10)) = (e10))/\(((op1 (e10) (e10)) = (e10))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11))))/\(((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12))))/\((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))))))))\/((((op1 (e10) (e11)) = (e10))/\(((op1 (e11) (e10)) = (e10))/\(((~((op1 (e11) (e10)) = (e11)))\/(~((op1 (e11) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e11) (e12)) = (e11)))\/(~((op1 (e11) (e11)) = (e12))))/\((~((op1 (e11) (e13)) = (e11)))\/(~((op1 (e11) (e11)) = (e13)))))))))\/((((op1 (e10) (e12)) = (e10))/\(((op1 (e12) (e10)) = (e10))/\(((~((op1 (e12) (e10)) = (e12)))\/(~((op1 (e12) (e12)) = (e10))))/\(((~((op1 (e12) (e11)) = (e12)))\/(~((op1 (e12) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13)))))))))\/((((op1 (e10) (e13)) = (e10))/\(((op1 (e13) (e10)) = (e10))/\(((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e13) (e13)) = (e10))))/\(((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11))))/\(((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e13) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13)))))))))\/((((op1 (e11) (e10)) = (e11))/\(((op1 (e10) (e11)) = (e11))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11))))/\(((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12))))/\((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))))))))\/((((op1 (e11) (e11)) = (e11))/\(((op1 (e11) (e11)) = (e11))/\(((~((op1 (e11) (e10)) = (e11)))\/(~((op1 (e11) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e11) (e12)) = (e11)))\/(~((op1 (e11) (e11)) = (e12))))/\((~((op1 (e11) (e13)) = (e11)))\/(~((op1 (e11) (e11)) = (e13)))))))))\/((((op1 (e11) (e12)) = (e11))/\(((op1 (e12) (e11)) = (e11))/\(((~((op1 (e12) (e10)) = (e12)))\/(~((op1 (e12) (e12)) = (e10))))/\(((~((op1 (e12) (e11)) = (e12)))\/(~((op1 (e12) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13)))))))))\/((((op1 (e11) (e13)) = (e11))/\(((op1 (e13) (e11)) = (e11))/\(((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e13) (e13)) = (e10))))/\(((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11))))/\(((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e13) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13)))))))))\/((((op1 (e12) (e10)) = (e12))/\(((op1 (e10) (e12)) = (e12))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11))))/\(((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12))))/\((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))))))))\/((((op1 (e12) (e11)) = (e12))/\(((op1 (e11) (e12)) = (e12))/\(((~((op1 (e11) (e10)) = (e11)))\/(~((op1 (e11) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e11) (e12)) = (e11)))\/(~((op1 (e11) (e11)) = (e12))))/\((~((op1 (e11) (e13)) = (e11)))\/(~((op1 (e11) (e11)) = (e13)))))))))\/((((op1 (e12) (e12)) = (e12))/\(((op1 (e12) (e12)) = (e12))/\(((~((op1 (e12) (e10)) = (e12)))\/(~((op1 (e12) (e12)) = (e10))))/\(((~((op1 (e12) (e11)) = (e12)))\/(~((op1 (e12) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13)))))))))\/((((op1 (e12) (e13)) = (e12))/\(((op1 (e13) (e12)) = (e12))/\(((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e13) (e13)) = (e10))))/\(((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11))))/\(((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e13) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13)))))))))\/((((op1 (e13) (e10)) = (e13))/\(((op1 (e10) (e13)) = (e13))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11))))/\(((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12))))/\((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))))))))\/((((op1 (e13) (e11)) = (e13))/\(((op1 (e11) (e13)) = (e13))/\(((~((op1 (e11) (e10)) = (e11)))\/(~((op1 (e11) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e11) (e12)) = (e11)))\/(~((op1 (e11) (e11)) = (e12))))/\((~((op1 (e11) (e13)) = (e11)))\/(~((op1 (e11) (e11)) = (e13)))))))))\/((((op1 (e13) (e12)) = (e13))/\(((op1 (e12) (e13)) = (e13))/\(((~((op1 (e12) (e10)) = (e12)))\/(~((op1 (e12) (e12)) = (e10))))/\(((~((op1 (e12) (e11)) = (e12)))\/(~((op1 (e12) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13)))))))))\/(((op1 (e13) (e13)) = (e13))/\(((op1 (e13) (e13)) = (e13))/\(((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e13) (e13)) = (e10))))/\(((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11))))/\(((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e13) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13)))))))))))))))))))))))) -> (~((op1 (e11) (e11)) = (e11))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e11)) = (e12))\/((op1 (e10) (e11)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e20)) = (e20))\/(((op2 (e22) (e20)) = (e20))\/((op2 (e23) (e20)) = (e20))))) -> (~((e20) = (e22))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (((op2 (e23) (e20)) = (e22))\/(((op2 (e23) (e21)) = (e22))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e20) (e20)) = (e22))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> ((e22) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> ((e23) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (((op2 (e21) (e22)) = (e20))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e22)) = (e23))))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> ((op2 (e23) (e21)) = (e23)) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> ((op2 (e21) (e20)) = (e21)) -> ((op2 (e21) (op2 (e21) (e20))) = (e20)) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (~((e10) = (e12))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e10)) = (e12))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e13) (e10)) = (e12))))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> ((op1 (e11) (op1 (e11) (e12))) = (e12)) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((e12) = (e13))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (~((h2 (op1 (e12) (e13))) = (op2 (h2 (e12)) (h2 (e13))))) -> ((h2 (e11)) = (e21)) -> ((h2 (e13)) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((h2 (e12)) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> ((op2 (e21) (op2 (e21) (e23))) = (e23)) -> (((op2 (e22) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e22) (e23)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> ((op2 (e21) (op2 (e21) (e22))) = (e22)) -> (((op2 (e21) (e20)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/((op2 (e21) (e23)) = (e23))))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (((op2 (e21) (e20)) = (e20))\/(((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e20)) = (e22))\/((op2 (e21) (e20)) = (e23))))) -> (~((op2 (e21) (e21)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e22)) = (op2 (e21) (e23)))) -> (((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e21)) = (e22))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> ((op2 (e20) (e21)) = (e21)) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e23)) = (e20))) -> (((op2 (e20) (e20)) = (e22))\/(((op2 (e21) (e20)) = (e22))\/(((op2 (e22) (e20)) = (e22))\/((op2 (e23) (e20)) = (e22))))) -> ((e20) = (op2 (e21) (e21))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> (~((op2 (e20) (e20)) = (e20))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e12)) = (e11))) -> ((op1 (e11) (op1 (e11) (e10))) = (e10)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> ((op1 (e11) (op1 (e11) (e11))) = (e11)) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e13) (e13)) = (e11))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e13)) = (e10))\/(((op1 (e13) (e13)) = (e11))\/(((op1 (e13) (e13)) = (e12))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e12))\/((op1 (e11) (e10)) = (e13))))) -> ((e12) = (op1 (op1 (op1 (e11) (e11)) (op1 (e11) (e11))) (op1 (e11) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> ((op1 (e11) (op1 (e11) (e13))) = (e13)) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> ((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) -> ((e10) = (op1 (e11) (e11))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> False).
% 55.08/55.27 do 0 intro. intros zenon_H313 zenon_H474 zenon_H1b1 zenon_H245 zenon_H473 zenon_H358 zenon_H206 zenon_H204 zenon_H32e zenon_H1ed zenon_H1de zenon_H4e6 zenon_H4e2 zenon_H67 zenon_H6e zenon_H74 zenon_Hbd zenon_H3e zenon_H3f zenon_H3b zenon_Hb0 zenon_H489 zenon_H40f zenon_H437 zenon_H3b4 zenon_He8 zenon_H3af zenon_H517 zenon_H4e zenon_H514 zenon_H4df zenon_H16c zenon_H485 zenon_H4c3 zenon_H1e8 zenon_H375 zenon_H30e zenon_H23b zenon_H236 zenon_H32b zenon_H301 zenon_H2f8 zenon_H1fd zenon_H360 zenon_H316 zenon_H2e6 zenon_H505 zenon_H270 zenon_H461 zenon_H44f zenon_H322 zenon_H2e7 zenon_H1f7 zenon_H328 zenon_H116 zenon_H394 zenon_H395 zenon_H3ee zenon_H9f zenon_H3a8 zenon_H481 zenon_H399 zenon_Hc5 zenon_H45 zenon_H4a zenon_H7a zenon_H47a zenon_H3b1 zenon_H60 zenon_H282 zenon_H39d zenon_H4ae zenon_Hb9 zenon_H3c2 zenon_Had zenon_Hb7 zenon_H33 zenon_H32 zenon_H31 zenon_H246 zenon_H19d zenon_H1a9 zenon_H1a0 zenon_H1e zenon_H17 zenon_H18e zenon_H186 zenon_H172 zenon_H1da zenon_H1d8 zenon_H1cc zenon_H23f zenon_H292 zenon_H2a3 zenon_H2a5 zenon_H2a6 zenon_H2ad zenon_H2b1 zenon_H1fa zenon_H1be zenon_H18a zenon_H20d zenon_H180 zenon_H20c zenon_H21a zenon_H179 zenon_H25 zenon_H15f zenon_H155 zenon_H154 zenon_H14b zenon_H29e zenon_H2c0 zenon_H1f4 zenon_H15 zenon_H13 zenon_H2b9 zenon_H15a zenon_H2c2.
% 55.08/55.27 apply (zenon_or_s _ _ zenon_H245); [ zenon_intro zenon_H147 | zenon_intro zenon_H254 ].
% 55.08/55.27 apply (zenon_L60_); trivial.
% 55.08/55.27 apply (zenon_or_s _ _ zenon_H254); [ zenon_intro zenon_H164 | zenon_intro zenon_H255 ].
% 55.08/55.27 apply (zenon_L66_); trivial.
% 55.08/55.27 apply (zenon_or_s _ _ zenon_H255); [ zenon_intro zenon_H197 | zenon_intro zenon_H256 ].
% 55.08/55.27 apply (zenon_L927_); trivial.
% 55.08/55.27 apply (zenon_or_s _ _ zenon_H256); [ zenon_intro zenon_H199 | zenon_intro zenon_H257 ].
% 55.08/55.27 apply (zenon_L77_); trivial.
% 55.08/55.27 apply (zenon_or_s _ _ zenon_H257); [ zenon_intro zenon_H259 | zenon_intro zenon_H258 ].
% 55.08/55.27 apply (zenon_L916_); trivial.
% 55.08/55.27 apply (zenon_or_s _ _ zenon_H258); [ zenon_intro zenon_H1a5 | zenon_intro zenon_H262 ].
% 55.08/55.27 apply (zenon_L80_); trivial.
% 55.08/55.27 apply (zenon_or_s _ _ zenon_H262); [ zenon_intro zenon_H1ae | zenon_intro zenon_H263 ].
% 55.08/55.27 apply (zenon_L83_); trivial.
% 55.08/55.27 apply (zenon_or_s _ _ zenon_H263); [ zenon_intro zenon_H212 | zenon_intro zenon_H264 ].
% 55.08/55.27 apply (zenon_L161_); trivial.
% 55.08/55.27 apply (zenon_or_s _ _ zenon_H264); [ zenon_intro zenon_H220 | zenon_intro zenon_H265 ].
% 55.08/55.27 apply (zenon_L110_); trivial.
% 55.08/55.27 apply (zenon_or_s _ _ zenon_H265); [ zenon_intro zenon_H222 | zenon_intro zenon_H266 ].
% 55.08/55.27 apply (zenon_L111_); trivial.
% 55.08/55.27 apply (zenon_or_s _ _ zenon_H266); [ zenon_intro zenon_H225 | zenon_intro zenon_H267 ].
% 55.08/55.27 apply (zenon_L113_); trivial.
% 55.08/55.27 apply (zenon_or_s _ _ zenon_H267); [ zenon_intro zenon_H22d | zenon_intro zenon_H268 ].
% 55.08/55.27 apply (zenon_L114_); trivial.
% 55.08/55.27 apply (zenon_or_s _ _ zenon_H268); [ zenon_intro zenon_H230 | zenon_intro zenon_H269 ].
% 55.08/55.27 apply (zenon_L115_); trivial.
% 55.08/55.27 apply (zenon_or_s _ _ zenon_H269); [ zenon_intro zenon_H232 | zenon_intro zenon_H26a ].
% 55.08/55.27 apply (zenon_L116_); trivial.
% 55.08/55.27 apply (zenon_or_s _ _ zenon_H26a); [ zenon_intro zenon_H240 | zenon_intro zenon_H242 ].
% 55.08/55.27 apply (zenon_L166_); trivial.
% 55.08/55.27 apply (zenon_L125_); trivial.
% 55.08/55.27 (* end of lemma zenon_L928_ *)
% 55.08/55.27 assert (zenon_L929_ : ((~((op1 (e12) (e12)) = (e11)))\/((op1 (e12) (e11)) = (e12))) -> (((op1 (e13) (e13)) = (e10))\/(((op1 (e13) (e13)) = (e11))\/(((op1 (e13) (e13)) = (e12))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op2 (e20) (e20)) = (e22))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> ((e22) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> ((e23) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> ((op2 (e21) (e20)) = (e21)) -> ((op2 (e21) (op2 (e21) (e20))) = (e20)) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> ((op1 (e11) (op1 (e11) (e13))) = (e13)) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> ((h2 (e12)) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> ((h2 (e13)) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((h2 (e11)) = (e21)) -> (~((h2 (op1 (e12) (e13))) = (op2 (h2 (e12)) (h2 (e13))))) -> ((op1 (e11) (op1 (e11) (e10))) = (e10)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> ((op1 (e11) (op1 (e11) (e12))) = (e12)) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e11)) = (e12))\/((op1 (e10) (e11)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((e12) = (e13))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e11)) = (e11))) -> ((((op1 (e10) (e10)) = (e10))/\(((op1 (e10) (e10)) = (e10))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11))))/\(((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12))))/\((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))))))))\/((((op1 (e10) (e11)) = (e10))/\(((op1 (e11) (e10)) = (e10))/\(((~((op1 (e11) (e10)) = (e11)))\/(~((op1 (e11) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e11) (e12)) = (e11)))\/(~((op1 (e11) (e11)) = (e12))))/\((~((op1 (e11) (e13)) = (e11)))\/(~((op1 (e11) (e11)) = (e13)))))))))\/((((op1 (e10) (e12)) = (e10))/\(((op1 (e12) (e10)) = (e10))/\(((~((op1 (e12) (e10)) = (e12)))\/(~((op1 (e12) (e12)) = (e10))))/\(((~((op1 (e12) (e11)) = (e12)))\/(~((op1 (e12) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13)))))))))\/((((op1 (e10) (e13)) = (e10))/\(((op1 (e13) (e10)) = (e10))/\(((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e13) (e13)) = (e10))))/\(((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11))))/\(((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e13) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13)))))))))\/((((op1 (e11) (e10)) = (e11))/\(((op1 (e10) (e11)) = (e11))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11))))/\(((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12))))/\((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))))))))\/((((op1 (e11) (e11)) = (e11))/\(((op1 (e11) (e11)) = (e11))/\(((~((op1 (e11) (e10)) = (e11)))\/(~((op1 (e11) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e11) (e12)) = (e11)))\/(~((op1 (e11) (e11)) = (e12))))/\((~((op1 (e11) (e13)) = (e11)))\/(~((op1 (e11) (e11)) = (e13)))))))))\/((((op1 (e11) (e12)) = (e11))/\(((op1 (e12) (e11)) = (e11))/\(((~((op1 (e12) (e10)) = (e12)))\/(~((op1 (e12) (e12)) = (e10))))/\(((~((op1 (e12) (e11)) = (e12)))\/(~((op1 (e12) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13)))))))))\/((((op1 (e11) (e13)) = (e11))/\(((op1 (e13) (e11)) = (e11))/\(((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e13) (e13)) = (e10))))/\(((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11))))/\(((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e13) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13)))))))))\/((((op1 (e12) (e10)) = (e12))/\(((op1 (e10) (e12)) = (e12))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11))))/\(((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12))))/\((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))))))))\/((((op1 (e12) (e11)) = (e12))/\(((op1 (e11) (e12)) = (e12))/\(((~((op1 (e11) (e10)) = (e11)))\/(~((op1 (e11) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e11) (e12)) = (e11)))\/(~((op1 (e11) (e11)) = (e12))))/\((~((op1 (e11) (e13)) = (e11)))\/(~((op1 (e11) (e11)) = (e13)))))))))\/((((op1 (e12) (e12)) = (e12))/\(((op1 (e12) (e12)) = (e12))/\(((~((op1 (e12) (e10)) = (e12)))\/(~((op1 (e12) (e12)) = (e10))))/\(((~((op1 (e12) (e11)) = (e12)))\/(~((op1 (e12) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13)))))))))\/((((op1 (e12) (e13)) = (e12))/\(((op1 (e13) (e12)) = (e12))/\(((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e13) (e13)) = (e10))))/\(((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11))))/\(((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e13) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13)))))))))\/((((op1 (e13) (e10)) = (e13))/\(((op1 (e10) (e13)) = (e13))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11))))/\(((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12))))/\((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))))))))\/((((op1 (e13) (e11)) = (e13))/\(((op1 (e11) (e13)) = (e13))/\(((~((op1 (e11) (e10)) = (e11)))\/(~((op1 (e11) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e11) (e12)) = (e11)))\/(~((op1 (e11) (e11)) = (e12))))/\((~((op1 (e11) (e13)) = (e11)))\/(~((op1 (e11) (e11)) = (e13)))))))))\/((((op1 (e13) (e12)) = (e13))/\(((op1 (e12) (e13)) = (e13))/\(((~((op1 (e12) (e10)) = (e12)))\/(~((op1 (e12) (e12)) = (e10))))/\(((~((op1 (e12) (e11)) = (e12)))\/(~((op1 (e12) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13)))))))))\/(((op1 (e13) (e13)) = (e13))/\(((op1 (e13) (e13)) = (e13))/\(((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e13) (e13)) = (e10))))/\(((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11))))/\(((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e13) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13)))))))))))))))))))))))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (((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 (e10) (e10)) = (e12))\/(((op1 (e11) (e10)) = (e12))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e13) (e10)) = (e12))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (~((e10) = (e12))) -> (((op2 (e20) (e20)) = (e22))\/(((op2 (e21) (e20)) = (e22))\/(((op2 (e22) (e20)) = (e22))\/((op2 (e23) (e20)) = (e22))))) -> (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e21)) = (e22))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e21) (e22)) = (op2 (e21) (e23)))) -> (((op2 (e21) (e20)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/((op2 (e21) (e23)) = (e23))))) -> ((op2 (e21) (op2 (e21) (e22))) = (e22)) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (((op2 (e22) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e22) (e23)) = (e23))))) -> ((op2 (e21) (op2 (e21) (e23))) = (e23)) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> ((op2 (e23) (e21)) = (e23)) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (((op2 (e21) (e22)) = (e20))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e22)) = (e23))))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (((op2 (e23) (e20)) = (e22))\/(((op2 (e23) (e21)) = (e22))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (~((e20) = (e22))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e20)) = (e20))\/(((op2 (e22) (e20)) = (e20))\/((op2 (e23) (e20)) = (e20))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> ((op1 (e11) (op1 (e11) (e11))) = (e11)) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (((op2 (e21) (e20)) = (e20))\/(((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e20)) = (e22))\/((op2 (e21) (e20)) = (e23))))) -> (~((op2 (e21) (e21)) = (op2 (e21) (e22)))) -> ((op2 (e20) (e21)) = (e21)) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e23)) = (e20))) -> ((e20) = (op2 (e21) (e21))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> (~((op2 (e20) (e20)) = (e20))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> ((e10) = (op1 (e11) (e11))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> ((e12) = (op1 (op1 (op1 (e11) (e11)) (op1 (e11) (e11))) (op1 (e11) (e11)))) -> ((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e12))\/((op1 (e11) (e10)) = (e13))))) -> ((~((op1 (e13) (e13)) = (e11)))\/((op1 (e13) (e11)) = (e13))) -> False).
% 55.08/55.27 do 0 intro. intros zenon_H37c zenon_H20c zenon_H18e zenon_Hbd zenon_H3e zenon_H3f zenon_H3b zenon_Hb0 zenon_H517 zenon_H4e zenon_H514 zenon_H1fa zenon_H1de zenon_H1da zenon_H1ed zenon_H32e zenon_H180 zenon_H19d zenon_H1f7 zenon_H2e7 zenon_H25 zenon_H322 zenon_H29e zenon_H2c0 zenon_H44f zenon_H461 zenon_H270 zenon_H505 zenon_H292 zenon_H2e6 zenon_H316 zenon_H360 zenon_H18a zenon_H1fd zenon_H172 zenon_H2f8 zenon_H301 zenon_H32b zenon_H1cc zenon_H2b9 zenon_H23b zenon_H30e zenon_H375 zenon_H2c2 zenon_H1a9 zenon_H1e8 zenon_H204 zenon_H17 zenon_H206 zenon_H179 zenon_H186 zenon_H236 zenon_H2ad zenon_H358 zenon_H473 zenon_H245 zenon_H1f4 zenon_H1e zenon_H1a0 zenon_H246 zenon_H328 zenon_H4c3 zenon_H485 zenon_H4df zenon_H16c zenon_Hb7 zenon_H4ae zenon_H39d zenon_H282 zenon_H60 zenon_H3b1 zenon_H47a zenon_H399 zenon_H481 zenon_H3a8 zenon_H3ee zenon_H395 zenon_H394 zenon_H116 zenon_H3af zenon_He8 zenon_H3b4 zenon_H437 zenon_H40f zenon_H489 zenon_H74 zenon_H6e zenon_H67 zenon_H4e2 zenon_H4e6 zenon_H2a3 zenon_H2a5 zenon_H2a6 zenon_H2b1 zenon_H1b1 zenon_H474 zenon_H1d8 zenon_H1be zenon_H313 zenon_H9f zenon_Hc5 zenon_H45 zenon_H4a zenon_H7a zenon_Hb9 zenon_H3c2 zenon_Had zenon_H33 zenon_H32 zenon_H31 zenon_H21a zenon_H14b zenon_H13 zenon_H154 zenon_H155 zenon_H15 zenon_H15a zenon_H15f zenon_H37b.
% 55.08/55.27 apply (zenon_or_s _ _ zenon_H37c); [ zenon_intro zenon_H23f | zenon_intro zenon_H202 ].
% 55.08/55.27 apply (zenon_or_s _ _ zenon_H37b); [ zenon_intro zenon_H20d | zenon_intro zenon_H1c3 ].
% 55.08/55.27 apply (zenon_L928_); trivial.
% 55.08/55.27 apply (zenon_or_s _ _ zenon_H245); [ zenon_intro zenon_H147 | zenon_intro zenon_H254 ].
% 55.08/55.27 apply (zenon_L60_); trivial.
% 55.08/55.27 apply (zenon_or_s _ _ zenon_H254); [ zenon_intro zenon_H164 | zenon_intro zenon_H255 ].
% 55.08/55.27 apply (zenon_L66_); trivial.
% 55.08/55.27 apply (zenon_or_s _ _ zenon_H255); [ zenon_intro zenon_H197 | zenon_intro zenon_H256 ].
% 55.08/55.27 apply (zenon_L927_); trivial.
% 55.08/55.27 apply (zenon_or_s _ _ zenon_H256); [ zenon_intro zenon_H199 | zenon_intro zenon_H257 ].
% 55.08/55.27 apply (zenon_L77_); trivial.
% 55.08/55.27 apply (zenon_or_s _ _ zenon_H257); [ zenon_intro zenon_H259 | zenon_intro zenon_H258 ].
% 55.08/55.27 apply (zenon_L916_); trivial.
% 55.08/55.27 apply (zenon_or_s _ _ zenon_H258); [ zenon_intro zenon_H1a5 | zenon_intro zenon_H262 ].
% 55.08/55.27 apply (zenon_L80_); trivial.
% 55.08/55.27 apply (zenon_or_s _ _ zenon_H262); [ zenon_intro zenon_H1ae | zenon_intro zenon_H263 ].
% 55.08/55.27 apply (zenon_L83_); trivial.
% 55.08/55.27 apply (zenon_or_s _ _ zenon_H263); [ zenon_intro zenon_H212 | zenon_intro zenon_H264 ].
% 55.08/55.27 apply (zenon_L167_); trivial.
% 55.08/55.27 apply (zenon_or_s _ _ zenon_H264); [ zenon_intro zenon_H220 | zenon_intro zenon_H265 ].
% 55.08/55.27 apply (zenon_L110_); trivial.
% 55.08/55.27 apply (zenon_or_s _ _ zenon_H265); [ zenon_intro zenon_H222 | zenon_intro zenon_H266 ].
% 55.08/55.27 apply (zenon_L111_); trivial.
% 55.08/55.27 apply (zenon_or_s _ _ zenon_H266); [ zenon_intro zenon_H225 | zenon_intro zenon_H267 ].
% 55.08/55.27 apply (zenon_L113_); trivial.
% 55.08/55.27 apply (zenon_or_s _ _ zenon_H267); [ zenon_intro zenon_H22d | zenon_intro zenon_H268 ].
% 55.08/55.27 apply (zenon_L114_); trivial.
% 55.08/55.27 apply (zenon_or_s _ _ zenon_H268); [ zenon_intro zenon_H230 | zenon_intro zenon_H269 ].
% 55.08/55.27 apply (zenon_L115_); trivial.
% 55.08/55.27 apply (zenon_or_s _ _ zenon_H269); [ zenon_intro zenon_H232 | zenon_intro zenon_H26a ].
% 55.08/55.27 apply (zenon_L116_); trivial.
% 55.08/55.27 apply (zenon_or_s _ _ zenon_H26a); [ zenon_intro zenon_H240 | zenon_intro zenon_H242 ].
% 55.08/55.27 apply (zenon_L166_); trivial.
% 55.08/55.27 apply (zenon_L125_); trivial.
% 55.08/55.27 apply (zenon_L924_); trivial.
% 55.08/55.27 (* end of lemma zenon_L929_ *)
% 55.08/55.27 assert (zenon_L930_ : ((~((op2 (e20) (e22)) = (e20)))\/(~((op2 (e20) (e20)) = (e22)))) -> ((((op1 (e10) (op1 (e10) (e10))) = (e10))/\(((op1 (e10) (op1 (e10) (e11))) = (e11))/\(((op1 (e10) (op1 (e10) (e12))) = (e12))/\(((op1 (e10) (op1 (e10) (e13))) = (e13))/\(((~((op1 (e10) (e10)) = (e10)))\/((op1 (e10) (e10)) = (e10)))/\(((~((op1 (e11) (e11)) = (e10)))\/((op1 (e11) (e10)) = (e11)))/\(((~((op1 (e12) (e12)) = (e10)))\/((op1 (e12) (e10)) = (e12)))/\((~((op1 (e13) (e13)) = (e10)))\/((op1 (e13) (e10)) = (e13))))))))))\/((((op1 (e11) (op1 (e11) (e10))) = (e10))/\(((op1 (e11) (op1 (e11) (e11))) = (e11))/\(((op1 (e11) (op1 (e11) (e12))) = (e12))/\(((op1 (e11) (op1 (e11) (e13))) = (e13))/\(((~((op1 (e10) (e10)) = (e11)))\/((op1 (e10) (e11)) = (e10)))/\(((~((op1 (e11) (e11)) = (e11)))\/((op1 (e11) (e11)) = (e11)))/\(((~((op1 (e12) (e12)) = (e11)))\/((op1 (e12) (e11)) = (e12)))/\((~((op1 (e13) (e13)) = (e11)))\/((op1 (e13) (e11)) = (e13))))))))))\/((((op1 (e12) (op1 (e12) (e10))) = (e10))/\(((op1 (e12) (op1 (e12) (e11))) = (e11))/\(((op1 (e12) (op1 (e12) (e12))) = (e12))/\(((op1 (e12) (op1 (e12) (e13))) = (e13))/\(((~((op1 (e10) (e10)) = (e12)))\/((op1 (e10) (e12)) = (e10)))/\(((~((op1 (e11) (e11)) = (e12)))\/((op1 (e11) (e12)) = (e11)))/\(((~((op1 (e12) (e12)) = (e12)))\/((op1 (e12) (e12)) = (e12)))/\((~((op1 (e13) (e13)) = (e12)))\/((op1 (e13) (e12)) = (e13))))))))))\/(((op1 (e13) (op1 (e13) (e10))) = (e10))/\(((op1 (e13) (op1 (e13) (e11))) = (e11))/\(((op1 (e13) (op1 (e13) (e12))) = (e12))/\(((op1 (e13) (op1 (e13) (e13))) = (e13))/\(((~((op1 (e10) (e10)) = (e13)))\/((op1 (e10) (e13)) = (e10)))/\(((~((op1 (e11) (e11)) = (e13)))\/((op1 (e11) (e13)) = (e11)))/\(((~((op1 (e12) (e12)) = (e13)))\/((op1 (e12) (e13)) = (e12)))/\((~((op1 (e13) (e13)) = (e13)))\/((op1 (e13) (e13)) = (e13))))))))))))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e12) (e13)) = (e10))))) -> (((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e12) (e11)) = (e13))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> ((op2 (e20) (e21)) = (e21)) -> (~((op2 (e21) (e21)) = (op2 (e21) (e22)))) -> (((op2 (e21) (e20)) = (e20))\/(((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e20)) = (e22))\/((op2 (e21) (e20)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e20)) = (e20))\/(((op2 (e22) (e20)) = (e20))\/((op2 (e23) (e20)) = (e20))))) -> (~((e20) = (e22))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (((op2 (e23) (e20)) = (e22))\/(((op2 (e23) (e21)) = (e22))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (((op2 (e21) (e22)) = (e20))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e22)) = (e23))))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> ((op2 (e23) (e21)) = (e23)) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> ((op2 (e21) (op2 (e21) (e23))) = (e23)) -> (((op2 (e22) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e22) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> ((op2 (e21) (op2 (e21) (e22))) = (e22)) -> (((op2 (e21) (e20)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/((op2 (e21) (e23)) = (e23))))) -> (~((op2 (e21) (e22)) = (op2 (e21) (e23)))) -> (((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e21)) = (e22))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> (((op2 (e20) (e20)) = (e22))\/(((op2 (e21) (e20)) = (e22))\/(((op2 (e22) (e20)) = (e22))\/((op2 (e23) (e20)) = (e22))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e10)) = (e12))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e13) (e10)) = (e12))))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (~((h2 (op1 (e12) (e13))) = (op2 (h2 (e12)) (h2 (e13))))) -> ((h2 (e11)) = (e21)) -> ((h2 (e13)) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((h2 (e12)) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> ((op2 (e21) (op2 (e21) (e20))) = (e20)) -> ((op2 (e21) (e20)) = (e21)) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> ((e22) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> ((e10) = (op1 (e11) (e11))) -> ((((op1 (e10) (e10)) = (e10))/\(((op1 (e10) (e10)) = (e10))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11))))/\(((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12))))/\((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))))))))\/((((op1 (e10) (e11)) = (e10))/\(((op1 (e11) (e10)) = (e10))/\(((~((op1 (e11) (e10)) = (e11)))\/(~((op1 (e11) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e11) (e12)) = (e11)))\/(~((op1 (e11) (e11)) = (e12))))/\((~((op1 (e11) (e13)) = (e11)))\/(~((op1 (e11) (e11)) = (e13)))))))))\/((((op1 (e10) (e12)) = (e10))/\(((op1 (e12) (e10)) = (e10))/\(((~((op1 (e12) (e10)) = (e12)))\/(~((op1 (e12) (e12)) = (e10))))/\(((~((op1 (e12) (e11)) = (e12)))\/(~((op1 (e12) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13)))))))))\/((((op1 (e10) (e13)) = (e10))/\(((op1 (e13) (e10)) = (e10))/\(((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e13) (e13)) = (e10))))/\(((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11))))/\(((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e13) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13)))))))))\/((((op1 (e11) (e10)) = (e11))/\(((op1 (e10) (e11)) = (e11))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11))))/\(((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12))))/\((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))))))))\/((((op1 (e11) (e11)) = (e11))/\(((op1 (e11) (e11)) = (e11))/\(((~((op1 (e11) (e10)) = (e11)))\/(~((op1 (e11) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e11) (e12)) = (e11)))\/(~((op1 (e11) (e11)) = (e12))))/\((~((op1 (e11) (e13)) = (e11)))\/(~((op1 (e11) (e11)) = (e13)))))))))\/((((op1 (e11) (e12)) = (e11))/\(((op1 (e12) (e11)) = (e11))/\(((~((op1 (e12) (e10)) = (e12)))\/(~((op1 (e12) (e12)) = (e10))))/\(((~((op1 (e12) (e11)) = (e12)))\/(~((op1 (e12) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13)))))))))\/((((op1 (e11) (e13)) = (e11))/\(((op1 (e13) (e11)) = (e11))/\(((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e13) (e13)) = (e10))))/\(((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11))))/\(((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e13) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13)))))))))\/((((op1 (e12) (e10)) = (e12))/\(((op1 (e10) (e12)) = (e12))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11))))/\(((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12))))/\((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))))))))\/((((op1 (e12) (e11)) = (e12))/\(((op1 (e11) (e12)) = (e12))/\(((~((op1 (e11) (e10)) = (e11)))\/(~((op1 (e11) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e11) (e12)) = (e11)))\/(~((op1 (e11) (e11)) = (e12))))/\((~((op1 (e11) (e13)) = (e11)))\/(~((op1 (e11) (e11)) = (e13)))))))))\/((((op1 (e12) (e12)) = (e12))/\(((op1 (e12) (e12)) = (e12))/\(((~((op1 (e12) (e10)) = (e12)))\/(~((op1 (e12) (e12)) = (e10))))/\(((~((op1 (e12) (e11)) = (e12)))\/(~((op1 (e12) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13)))))))))\/((((op1 (e12) (e13)) = (e12))/\(((op1 (e13) (e12)) = (e12))/\(((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e13) (e13)) = (e10))))/\(((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11))))/\(((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e13) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13)))))))))\/((((op1 (e13) (e10)) = (e13))/\(((op1 (e10) (e13)) = (e13))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11))))/\(((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12))))/\((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))))))))\/((((op1 (e13) (e11)) = (e13))/\(((op1 (e11) (e13)) = (e13))/\(((~((op1 (e11) (e10)) = (e11)))\/(~((op1 (e11) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e11) (e12)) = (e11)))\/(~((op1 (e11) (e11)) = (e12))))/\((~((op1 (e11) (e13)) = (e11)))\/(~((op1 (e11) (e11)) = (e13)))))))))\/((((op1 (e13) (e12)) = (e13))/\(((op1 (e12) (e13)) = (e13))/\(((~((op1 (e12) (e10)) = (e12)))\/(~((op1 (e12) (e12)) = (e10))))/\(((~((op1 (e12) (e11)) = (e12)))\/(~((op1 (e12) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13)))))))))\/(((op1 (e13) (e13)) = (e13))/\(((op1 (e13) (e13)) = (e13))/\(((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e13) (e13)) = (e10))))/\(((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11))))/\(((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e13) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13)))))))))))))))))))))))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((e12) = (e13))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e13) (e13)) = (e10))\/(((op1 (e13) (e13)) = (e11))\/(((op1 (e13) (e13)) = (e12))\/((op1 (e13) (e13)) = (e13))))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (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) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e11)) = (e12))\/((op1 (e10) (e11)) = (e13))))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((e10) = (e12))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> ((e12) = (op1 (op1 (op1 (e11) (e11)) (op1 (e11) (e11))) (op1 (e11) (e11)))) -> ((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e12))\/((op1 (e11) (e10)) = (e13))))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e20) (e21)) = (e20))\/(((op2 (e20) (e22)) = (e20))\/((op2 (e20) (e23)) = (e20))))) -> ((e20) = (op2 (e21) (e21))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> (~((op2 (e20) (e20)) = (e20))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e20) (e21)) = (e23))\/(((op2 (e20) (e22)) = (e23))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e22)))) -> ((e23) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> ((~((op2 (e20) (e23)) = (e20)))\/(~((op2 (e20) (e20)) = (e23)))) -> False).
% 55.08/55.28 do 0 intro. intros zenon_Hbc zenon_H36e zenon_H355 zenon_H345 zenon_H35d zenon_H2d1 zenon_H2c9 zenon_H2d9 zenon_H2e2 zenon_H2ea zenon_H30b zenon_H321 zenon_H325 zenon_H2f6 zenon_H2fb zenon_H2fd zenon_H32 zenon_H3c2 zenon_Hb9 zenon_H7a zenon_H4a zenon_H45 zenon_Hc5 zenon_H313 zenon_H474 zenon_H2b1 zenon_H2a5 zenon_H2a3 zenon_H4e6 zenon_H4e2 zenon_H67 zenon_H6e zenon_H74 zenon_H489 zenon_H40f zenon_H437 zenon_H3b4 zenon_He8 zenon_H3af zenon_H116 zenon_H394 zenon_H395 zenon_H3ee zenon_H3a8 zenon_H481 zenon_H399 zenon_H47a zenon_H3b1 zenon_H60 zenon_H282 zenon_H39d zenon_H4ae zenon_Hb7 zenon_H4df zenon_H485 zenon_H4c3 zenon_H328 zenon_H358 zenon_H2ad zenon_H2c2 zenon_H30e zenon_H2b9 zenon_H32b zenon_H301 zenon_H2f8 zenon_H360 zenon_H316 zenon_H2e6 zenon_H505 zenon_H270 zenon_H461 zenon_H44f zenon_H2c0 zenon_H322 zenon_H2e7 zenon_H32e zenon_H514 zenon_H4e zenon_H517 zenon_Hb0 zenon_H3f zenon_H3e zenon_H13 zenon_H245 zenon_H23b zenon_H236 zenon_H21a zenon_H20c zenon_H1be zenon_H1b1 zenon_H1de zenon_H1cc zenon_H1d8 zenon_H1da zenon_H1e8 zenon_H1ed zenon_H1f4 zenon_H1f7 zenon_H1fa zenon_H1fd zenon_H204 zenon_H206 zenon_H209 zenon_H1a9 zenon_H17 zenon_H1e zenon_H25 zenon_H1a0 zenon_H19d zenon_H246 zenon_H192 zenon_H18e zenon_H18a zenon_H16c zenon_H172 zenon_H179 zenon_H180 zenon_H186 zenon_H14b zenon_H154 zenon_H155 zenon_H15 zenon_H15a zenon_H15f zenon_Hac zenon_H33 zenon_H8d zenon_H31 zenon_Ha5 zenon_H9f zenon_H98 zenon_H3b zenon_H93 zenon_Haa.
% 55.08/55.28 apply (zenon_or_s _ _ zenon_Hbc); [ zenon_intro zenon_Hab | zenon_intro zenon_Hbd ].
% 55.08/55.28 apply (zenon_L29_); trivial.
% 55.08/55.28 apply (zenon_or_s _ _ zenon_Haa); [ zenon_intro zenon_Had | zenon_intro zenon_Ha6 ].
% 55.08/55.28 apply (zenon_or_s _ _ zenon_H36e); [ zenon_intro zenon_H244 | zenon_intro zenon_H36f ].
% 55.08/55.28 apply (zenon_L126_); trivial.
% 55.08/55.28 apply (zenon_or_s _ _ zenon_H36f); [ zenon_intro zenon_H371 | zenon_intro zenon_H370 ].
% 55.08/55.28 apply (zenon_and_s _ _ zenon_H371). zenon_intro zenon_H292. zenon_intro zenon_H372.
% 55.08/55.28 apply (zenon_and_s _ _ zenon_H372). zenon_intro zenon_H2a6. zenon_intro zenon_H373.
% 55.08/55.28 apply (zenon_and_s _ _ zenon_H373). zenon_intro zenon_H375. zenon_intro zenon_H374.
% 55.08/55.28 apply (zenon_and_s _ _ zenon_H374). zenon_intro zenon_H29e. zenon_intro zenon_H376.
% 55.08/55.28 apply (zenon_and_s _ _ zenon_H376). zenon_intro zenon_H378. zenon_intro zenon_H377.
% 55.08/55.28 apply (zenon_and_s _ _ zenon_H377). zenon_intro zenon_H37a. zenon_intro zenon_H379.
% 55.08/55.28 apply (zenon_and_s _ _ zenon_H379). zenon_intro zenon_H37c. zenon_intro zenon_H37b.
% 55.08/55.28 apply (zenon_or_s _ _ zenon_H37a); [ zenon_intro zenon_H473 | zenon_intro zenon_H1a7 ].
% 55.08/55.28 apply (zenon_L929_); trivial.
% 55.08/55.28 apply (zenon_L532_); trivial.
% 55.08/55.28 apply (zenon_or_s _ _ zenon_H370); [ zenon_intro zenon_H335 | zenon_intro zenon_H363 ].
% 55.08/55.28 apply (zenon_L260_); trivial.
% 55.08/55.28 apply (zenon_L307_); trivial.
% 55.08/55.28 apply (zenon_L28_); trivial.
% 55.08/55.28 (* end of lemma zenon_L930_ *)
% 55.08/55.28 assert (zenon_L931_ : (((op2 (e21) (e20)) = (e21))/\(((op2 (e20) (e21)) = (e21))/\(((~((op2 (e20) (e20)) = (e20)))\/(~((op2 (e20) (e20)) = (e20))))/\(((~((op2 (e20) (e21)) = (e20)))\/(~((op2 (e20) (e20)) = (e21))))/\(((~((op2 (e20) (e22)) = (e20)))\/(~((op2 (e20) (e20)) = (e22))))/\((~((op2 (e20) (e23)) = (e20)))\/(~((op2 (e20) (e20)) = (e23))))))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> ((e23) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e22)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e20) (e21)) = (e23))\/(((op2 (e20) (e22)) = (e23))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> ((e20) = (op2 (e21) (e21))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e20) (e21)) = (e20))\/(((op2 (e20) (e22)) = (e20))\/((op2 (e20) (e23)) = (e20))))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e12))\/((op1 (e11) (e10)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> ((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) -> ((e12) = (op1 (op1 (op1 (e11) (e11)) (op1 (e11) (e11))) (op1 (e11) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((e10) = (e12))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e11)) = (e12))\/((op1 (e10) (e11)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (((op1 (e13) (e13)) = (e10))\/(((op1 (e13) (e13)) = (e11))\/(((op1 (e13) (e13)) = (e12))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (~((e12) = (e13))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> ((((op1 (e10) (e10)) = (e10))/\(((op1 (e10) (e10)) = (e10))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11))))/\(((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12))))/\((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))))))))\/((((op1 (e10) (e11)) = (e10))/\(((op1 (e11) (e10)) = (e10))/\(((~((op1 (e11) (e10)) = (e11)))\/(~((op1 (e11) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e11) (e12)) = (e11)))\/(~((op1 (e11) (e11)) = (e12))))/\((~((op1 (e11) (e13)) = (e11)))\/(~((op1 (e11) (e11)) = (e13)))))))))\/((((op1 (e10) (e12)) = (e10))/\(((op1 (e12) (e10)) = (e10))/\(((~((op1 (e12) (e10)) = (e12)))\/(~((op1 (e12) (e12)) = (e10))))/\(((~((op1 (e12) (e11)) = (e12)))\/(~((op1 (e12) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13)))))))))\/((((op1 (e10) (e13)) = (e10))/\(((op1 (e13) (e10)) = (e10))/\(((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e13) (e13)) = (e10))))/\(((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11))))/\(((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e13) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13)))))))))\/((((op1 (e11) (e10)) = (e11))/\(((op1 (e10) (e11)) = (e11))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11))))/\(((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12))))/\((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))))))))\/((((op1 (e11) (e11)) = (e11))/\(((op1 (e11) (e11)) = (e11))/\(((~((op1 (e11) (e10)) = (e11)))\/(~((op1 (e11) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e11) (e12)) = (e11)))\/(~((op1 (e11) (e11)) = (e12))))/\((~((op1 (e11) (e13)) = (e11)))\/(~((op1 (e11) (e11)) = (e13)))))))))\/((((op1 (e11) (e12)) = (e11))/\(((op1 (e12) (e11)) = (e11))/\(((~((op1 (e12) (e10)) = (e12)))\/(~((op1 (e12) (e12)) = (e10))))/\(((~((op1 (e12) (e11)) = (e12)))\/(~((op1 (e12) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13)))))))))\/((((op1 (e11) (e13)) = (e11))/\(((op1 (e13) (e11)) = (e11))/\(((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e13) (e13)) = (e10))))/\(((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11))))/\(((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e13) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13)))))))))\/((((op1 (e12) (e10)) = (e12))/\(((op1 (e10) (e12)) = (e12))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11))))/\(((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12))))/\((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))))))))\/((((op1 (e12) (e11)) = (e12))/\(((op1 (e11) (e12)) = (e12))/\(((~((op1 (e11) (e10)) = (e11)))\/(~((op1 (e11) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e11) (e12)) = (e11)))\/(~((op1 (e11) (e11)) = (e12))))/\((~((op1 (e11) (e13)) = (e11)))\/(~((op1 (e11) (e11)) = (e13)))))))))\/((((op1 (e12) (e12)) = (e12))/\(((op1 (e12) (e12)) = (e12))/\(((~((op1 (e12) (e10)) = (e12)))\/(~((op1 (e12) (e12)) = (e10))))/\(((~((op1 (e12) (e11)) = (e12)))\/(~((op1 (e12) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13)))))))))\/((((op1 (e12) (e13)) = (e12))/\(((op1 (e13) (e12)) = (e12))/\(((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e13) (e13)) = (e10))))/\(((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11))))/\(((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e13) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13)))))))))\/((((op1 (e13) (e10)) = (e13))/\(((op1 (e10) (e13)) = (e13))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11))))/\(((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12))))/\((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))))))))\/((((op1 (e13) (e11)) = (e13))/\(((op1 (e11) (e13)) = (e13))/\(((~((op1 (e11) (e10)) = (e11)))\/(~((op1 (e11) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e11) (e12)) = (e11)))\/(~((op1 (e11) (e11)) = (e12))))/\((~((op1 (e11) (e13)) = (e11)))\/(~((op1 (e11) (e11)) = (e13)))))))))\/((((op1 (e13) (e12)) = (e13))/\(((op1 (e12) (e13)) = (e13))/\(((~((op1 (e12) (e10)) = (e12)))\/(~((op1 (e12) (e12)) = (e10))))/\(((~((op1 (e12) (e11)) = (e12)))\/(~((op1 (e12) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13)))))))))\/(((op1 (e13) (e13)) = (e13))/\(((op1 (e13) (e13)) = (e13))/\(((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e13) (e13)) = (e10))))/\(((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11))))/\(((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e13) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13)))))))))))))))))))))))) -> ((e10) = (op1 (e11) (e11))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> ((e22) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> ((op2 (e21) (op2 (e21) (e20))) = (e20)) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> ((h2 (e12)) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> ((h2 (e13)) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((h2 (e11)) = (e21)) -> (~((h2 (op1 (e12) (e13))) = (op2 (h2 (e12)) (h2 (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e10)) = (e12))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e13) (e10)) = (e12))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (((op2 (e20) (e20)) = (e22))\/(((op2 (e21) (e20)) = (e22))\/(((op2 (e22) (e20)) = (e22))\/((op2 (e23) (e20)) = (e22))))) -> (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e21)) = (e22))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e21) (e22)) = (op2 (e21) (e23)))) -> (((op2 (e21) (e20)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/((op2 (e21) (e23)) = (e23))))) -> ((op2 (e21) (op2 (e21) (e22))) = (e22)) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (((op2 (e22) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e22) (e23)) = (e23))))) -> ((op2 (e21) (op2 (e21) (e23))) = (e23)) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> ((op2 (e23) (e21)) = (e23)) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (((op2 (e21) (e22)) = (e20))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e22)) = (e23))))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (((op2 (e23) (e20)) = (e22))\/(((op2 (e23) (e21)) = (e22))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (~((e20) = (e22))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e20)) = (e20))\/(((op2 (e22) (e20)) = (e20))\/((op2 (e23) (e20)) = (e20))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (((op2 (e21) (e20)) = (e20))\/(((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e20)) = (e22))\/((op2 (e21) (e20)) = (e23))))) -> (~((op2 (e21) (e21)) = (op2 (e21) (e22)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> (((op1 (e10) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e12) (e11)) = (e13))))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e12) (e13)) = (e10))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> ((((op1 (e10) (op1 (e10) (e10))) = (e10))/\(((op1 (e10) (op1 (e10) (e11))) = (e11))/\(((op1 (e10) (op1 (e10) (e12))) = (e12))/\(((op1 (e10) (op1 (e10) (e13))) = (e13))/\(((~((op1 (e10) (e10)) = (e10)))\/((op1 (e10) (e10)) = (e10)))/\(((~((op1 (e11) (e11)) = (e10)))\/((op1 (e11) (e10)) = (e11)))/\(((~((op1 (e12) (e12)) = (e10)))\/((op1 (e12) (e10)) = (e12)))/\((~((op1 (e13) (e13)) = (e10)))\/((op1 (e13) (e10)) = (e13))))))))))\/((((op1 (e11) (op1 (e11) (e10))) = (e10))/\(((op1 (e11) (op1 (e11) (e11))) = (e11))/\(((op1 (e11) (op1 (e11) (e12))) = (e12))/\(((op1 (e11) (op1 (e11) (e13))) = (e13))/\(((~((op1 (e10) (e10)) = (e11)))\/((op1 (e10) (e11)) = (e10)))/\(((~((op1 (e11) (e11)) = (e11)))\/((op1 (e11) (e11)) = (e11)))/\(((~((op1 (e12) (e12)) = (e11)))\/((op1 (e12) (e11)) = (e12)))/\((~((op1 (e13) (e13)) = (e11)))\/((op1 (e13) (e11)) = (e13))))))))))\/((((op1 (e12) (op1 (e12) (e10))) = (e10))/\(((op1 (e12) (op1 (e12) (e11))) = (e11))/\(((op1 (e12) (op1 (e12) (e12))) = (e12))/\(((op1 (e12) (op1 (e12) (e13))) = (e13))/\(((~((op1 (e10) (e10)) = (e12)))\/((op1 (e10) (e12)) = (e10)))/\(((~((op1 (e11) (e11)) = (e12)))\/((op1 (e11) (e12)) = (e11)))/\(((~((op1 (e12) (e12)) = (e12)))\/((op1 (e12) (e12)) = (e12)))/\((~((op1 (e13) (e13)) = (e12)))\/((op1 (e13) (e12)) = (e13))))))))))\/(((op1 (e13) (op1 (e13) (e10))) = (e10))/\(((op1 (e13) (op1 (e13) (e11))) = (e11))/\(((op1 (e13) (op1 (e13) (e12))) = (e12))/\(((op1 (e13) (op1 (e13) (e13))) = (e13))/\(((~((op1 (e10) (e10)) = (e13)))\/((op1 (e10) (e13)) = (e10)))/\(((~((op1 (e11) (e11)) = (e13)))\/((op1 (e11) (e13)) = (e11)))/\(((~((op1 (e12) (e12)) = (e13)))\/((op1 (e12) (e13)) = (e12)))/\((~((op1 (e13) (e13)) = (e13)))\/((op1 (e13) (e13)) = (e13))))))))))))) -> False).
% 55.08/55.28 do 0 intro. intros zenon_Hb6 zenon_H93 zenon_H3b zenon_H98 zenon_H9f zenon_Ha5 zenon_H8d zenon_H33 zenon_Hac zenon_H15f zenon_H15a zenon_H15 zenon_H155 zenon_H154 zenon_H14b zenon_H186 zenon_H180 zenon_H179 zenon_H172 zenon_H16c zenon_H18a zenon_H18e zenon_H192 zenon_H246 zenon_H19d zenon_H1a0 zenon_H25 zenon_H1e zenon_H17 zenon_H1a9 zenon_H209 zenon_H206 zenon_H204 zenon_H1fd zenon_H1fa zenon_H1f7 zenon_H1f4 zenon_H1ed zenon_H1e8 zenon_H1da zenon_H1d8 zenon_H1cc zenon_H1de zenon_H1b1 zenon_H1be zenon_H20c zenon_H21a zenon_H236 zenon_H23b zenon_H245 zenon_H13 zenon_H3e zenon_H3f zenon_Hb0 zenon_H517 zenon_H514 zenon_H32e zenon_H2e7 zenon_H322 zenon_H2c0 zenon_H44f zenon_H461 zenon_H270 zenon_H505 zenon_H2e6 zenon_H316 zenon_H360 zenon_H2f8 zenon_H301 zenon_H32b zenon_H2b9 zenon_H30e zenon_H2c2 zenon_H2ad zenon_H358 zenon_H328 zenon_H4c3 zenon_H485 zenon_H4df zenon_Hb7 zenon_H4ae zenon_H39d zenon_H282 zenon_H60 zenon_H3b1 zenon_H47a zenon_H399 zenon_H481 zenon_H3a8 zenon_H3ee zenon_H395 zenon_H394 zenon_H116 zenon_H3af zenon_He8 zenon_H3b4 zenon_H437 zenon_H40f zenon_H489 zenon_H74 zenon_H6e zenon_H67 zenon_H4e2 zenon_H4e6 zenon_H2a3 zenon_H2a5 zenon_H2b1 zenon_H474 zenon_H313 zenon_Hc5 zenon_H45 zenon_H4a zenon_H7a zenon_H3c2 zenon_H32 zenon_H2fd zenon_H2fb zenon_H2f6 zenon_H325 zenon_H321 zenon_H30b zenon_H2ea zenon_H2e2 zenon_H2d9 zenon_H2c9 zenon_H2d1 zenon_H35d zenon_H345 zenon_H355 zenon_H36e.
% 55.08/55.28 apply (zenon_and_s _ _ zenon_Hb6). zenon_intro zenon_H4e. zenon_intro zenon_Hb8.
% 55.08/55.28 apply (zenon_and_s _ _ zenon_Hb8). zenon_intro zenon_Hb9. zenon_intro zenon_H2e.
% 55.08/55.28 apply (zenon_and_s _ _ zenon_H2e). zenon_intro zenon_H30. zenon_intro zenon_H2f.
% 55.08/55.28 apply (zenon_and_s _ _ zenon_H2f). zenon_intro zenon_Hbb. zenon_intro zenon_Hba.
% 55.08/55.28 apply (zenon_and_s _ _ zenon_Hba). zenon_intro zenon_Hbc. zenon_intro zenon_Haa.
% 55.08/55.28 apply (zenon_or_s _ _ zenon_H30); [ zenon_intro zenon_H31 | zenon_intro zenon_H31 ].
% 55.08/55.28 apply (zenon_L930_); trivial.
% 55.08/55.28 apply (zenon_L930_); trivial.
% 55.08/55.28 (* end of lemma zenon_L931_ *)
% 55.08/55.28 assert (zenon_L932_ : ((((op2 (e20) (e20)) = (e20))/\(((op2 (e20) (e20)) = (e20))/\(((~((op2 (e20) (e20)) = (e20)))\/(~((op2 (e20) (e20)) = (e20))))/\(((~((op2 (e20) (e21)) = (e20)))\/(~((op2 (e20) (e20)) = (e21))))/\(((~((op2 (e20) (e22)) = (e20)))\/(~((op2 (e20) (e20)) = (e22))))/\((~((op2 (e20) (e23)) = (e20)))\/(~((op2 (e20) (e20)) = (e23)))))))))\/((((op2 (e20) (e21)) = (e20))/\(((op2 (e21) (e20)) = (e20))/\(((~((op2 (e21) (e20)) = (e21)))\/(~((op2 (e21) (e21)) = (e20))))/\(((~((op2 (e21) (e21)) = (e21)))\/(~((op2 (e21) (e21)) = (e21))))/\(((~((op2 (e21) (e22)) = (e21)))\/(~((op2 (e21) (e21)) = (e22))))/\((~((op2 (e21) (e23)) = (e21)))\/(~((op2 (e21) (e21)) = (e23)))))))))\/((((op2 (e20) (e22)) = (e20))/\(((op2 (e22) (e20)) = (e20))/\(((~((op2 (e22) (e20)) = (e22)))\/(~((op2 (e22) (e22)) = (e20))))/\(((~((op2 (e22) (e21)) = (e22)))\/(~((op2 (e22) (e22)) = (e21))))/\(((~((op2 (e22) (e22)) = (e22)))\/(~((op2 (e22) (e22)) = (e22))))/\((~((op2 (e22) (e23)) = (e22)))\/(~((op2 (e22) (e22)) = (e23)))))))))\/((((op2 (e20) (e23)) = (e20))/\(((op2 (e23) (e20)) = (e20))/\(((~((op2 (e23) (e20)) = (e23)))\/(~((op2 (e23) (e23)) = (e20))))/\(((~((op2 (e23) (e21)) = (e23)))\/(~((op2 (e23) (e23)) = (e21))))/\(((~((op2 (e23) (e22)) = (e23)))\/(~((op2 (e23) (e23)) = (e22))))/\((~((op2 (e23) (e23)) = (e23)))\/(~((op2 (e23) (e23)) = (e23)))))))))\/((((op2 (e21) (e20)) = (e21))/\(((op2 (e20) (e21)) = (e21))/\(((~((op2 (e20) (e20)) = (e20)))\/(~((op2 (e20) (e20)) = (e20))))/\(((~((op2 (e20) (e21)) = (e20)))\/(~((op2 (e20) (e20)) = (e21))))/\(((~((op2 (e20) (e22)) = (e20)))\/(~((op2 (e20) (e20)) = (e22))))/\((~((op2 (e20) (e23)) = (e20)))\/(~((op2 (e20) (e20)) = (e23)))))))))\/((((op2 (e21) (e21)) = (e21))/\(((op2 (e21) (e21)) = (e21))/\(((~((op2 (e21) (e20)) = (e21)))\/(~((op2 (e21) (e21)) = (e20))))/\(((~((op2 (e21) (e21)) = (e21)))\/(~((op2 (e21) (e21)) = (e21))))/\(((~((op2 (e21) (e22)) = (e21)))\/(~((op2 (e21) (e21)) = (e22))))/\((~((op2 (e21) (e23)) = (e21)))\/(~((op2 (e21) (e21)) = (e23)))))))))\/((((op2 (e21) (e22)) = (e21))/\(((op2 (e22) (e21)) = (e21))/\(((~((op2 (e22) (e20)) = (e22)))\/(~((op2 (e22) (e22)) = (e20))))/\(((~((op2 (e22) (e21)) = (e22)))\/(~((op2 (e22) (e22)) = (e21))))/\(((~((op2 (e22) (e22)) = (e22)))\/(~((op2 (e22) (e22)) = (e22))))/\((~((op2 (e22) (e23)) = (e22)))\/(~((op2 (e22) (e22)) = (e23)))))))))\/((((op2 (e21) (e23)) = (e21))/\(((op2 (e23) (e21)) = (e21))/\(((~((op2 (e23) (e20)) = (e23)))\/(~((op2 (e23) (e23)) = (e20))))/\(((~((op2 (e23) (e21)) = (e23)))\/(~((op2 (e23) (e23)) = (e21))))/\(((~((op2 (e23) (e22)) = (e23)))\/(~((op2 (e23) (e23)) = (e22))))/\((~((op2 (e23) (e23)) = (e23)))\/(~((op2 (e23) (e23)) = (e23)))))))))\/((((op2 (e22) (e20)) = (e22))/\(((op2 (e20) (e22)) = (e22))/\(((~((op2 (e20) (e20)) = (e20)))\/(~((op2 (e20) (e20)) = (e20))))/\(((~((op2 (e20) (e21)) = (e20)))\/(~((op2 (e20) (e20)) = (e21))))/\(((~((op2 (e20) (e22)) = (e20)))\/(~((op2 (e20) (e20)) = (e22))))/\((~((op2 (e20) (e23)) = (e20)))\/(~((op2 (e20) (e20)) = (e23)))))))))\/((((op2 (e22) (e21)) = (e22))/\(((op2 (e21) (e22)) = (e22))/\(((~((op2 (e21) (e20)) = (e21)))\/(~((op2 (e21) (e21)) = (e20))))/\(((~((op2 (e21) (e21)) = (e21)))\/(~((op2 (e21) (e21)) = (e21))))/\(((~((op2 (e21) (e22)) = (e21)))\/(~((op2 (e21) (e21)) = (e22))))/\((~((op2 (e21) (e23)) = (e21)))\/(~((op2 (e21) (e21)) = (e23)))))))))\/((((op2 (e22) (e22)) = (e22))/\(((op2 (e22) (e22)) = (e22))/\(((~((op2 (e22) (e20)) = (e22)))\/(~((op2 (e22) (e22)) = (e20))))/\(((~((op2 (e22) (e21)) = (e22)))\/(~((op2 (e22) (e22)) = (e21))))/\(((~((op2 (e22) (e22)) = (e22)))\/(~((op2 (e22) (e22)) = (e22))))/\((~((op2 (e22) (e23)) = (e22)))\/(~((op2 (e22) (e22)) = (e23)))))))))\/((((op2 (e22) (e23)) = (e22))/\(((op2 (e23) (e22)) = (e22))/\(((~((op2 (e23) (e20)) = (e23)))\/(~((op2 (e23) (e23)) = (e20))))/\(((~((op2 (e23) (e21)) = (e23)))\/(~((op2 (e23) (e23)) = (e21))))/\(((~((op2 (e23) (e22)) = (e23)))\/(~((op2 (e23) (e23)) = (e22))))/\((~((op2 (e23) (e23)) = (e23)))\/(~((op2 (e23) (e23)) = (e23)))))))))\/((((op2 (e23) (e20)) = (e23))/\(((op2 (e20) (e23)) = (e23))/\(((~((op2 (e20) (e20)) = (e20)))\/(~((op2 (e20) (e20)) = (e20))))/\(((~((op2 (e20) (e21)) = (e20)))\/(~((op2 (e20) (e20)) = (e21))))/\(((~((op2 (e20) (e22)) = (e20)))\/(~((op2 (e20) (e20)) = (e22))))/\((~((op2 (e20) (e23)) = (e20)))\/(~((op2 (e20) (e20)) = (e23)))))))))\/((((op2 (e23) (e21)) = (e23))/\(((op2 (e21) (e23)) = (e23))/\(((~((op2 (e21) (e20)) = (e21)))\/(~((op2 (e21) (e21)) = (e20))))/\(((~((op2 (e21) (e21)) = (e21)))\/(~((op2 (e21) (e21)) = (e21))))/\(((~((op2 (e21) (e22)) = (e21)))\/(~((op2 (e21) (e21)) = (e22))))/\((~((op2 (e21) (e23)) = (e21)))\/(~((op2 (e21) (e21)) = (e23)))))))))\/((((op2 (e23) (e22)) = (e23))/\(((op2 (e22) (e23)) = (e23))/\(((~((op2 (e22) (e20)) = (e22)))\/(~((op2 (e22) (e22)) = (e20))))/\(((~((op2 (e22) (e21)) = (e22)))\/(~((op2 (e22) (e22)) = (e21))))/\(((~((op2 (e22) (e22)) = (e22)))\/(~((op2 (e22) (e22)) = (e22))))/\((~((op2 (e22) (e23)) = (e22)))\/(~((op2 (e22) (e22)) = (e23)))))))))\/(((op2 (e23) (e23)) = (e23))/\(((op2 (e23) (e23)) = (e23))/\(((~((op2 (e23) (e20)) = (e23)))\/(~((op2 (e23) (e23)) = (e20))))/\(((~((op2 (e23) (e21)) = (e23)))\/(~((op2 (e23) (e23)) = (e21))))/\(((~((op2 (e23) (e22)) = (e23)))\/(~((op2 (e23) (e23)) = (e22))))/\((~((op2 (e23) (e23)) = (e23)))\/(~((op2 (e23) (e23)) = (e23)))))))))))))))))))))))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> (((op2 (e22) (e22)) = (e20))\/(((op2 (e22) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e22)) = (e23))))) -> (((op1 (e10) (e12)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e12)) = (e12))))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> ((op2 (e21) (op2 (e21) (e21))) = (e21)) -> (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> (~((e21) = (e22))) -> (~((op2 (e22) (e22)) = (e21))) -> (((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e22) (e23)) = (e21))))) -> (((op2 (e23) (e23)) = (e20))\/(((op2 (e23) (e23)) = (e21))\/(((op2 (e23) (e23)) = (e22))\/((op2 (e23) (e23)) = (e23))))) -> ((((op1 (e10) (op1 (e10) (e10))) = (e10))/\(((op1 (e10) (op1 (e10) (e11))) = (e11))/\(((op1 (e10) (op1 (e10) (e12))) = (e12))/\(((op1 (e10) (op1 (e10) (e13))) = (e13))/\(((~((op1 (e10) (e10)) = (e10)))\/((op1 (e10) (e10)) = (e10)))/\(((~((op1 (e11) (e11)) = (e10)))\/((op1 (e11) (e10)) = (e11)))/\(((~((op1 (e12) (e12)) = (e10)))\/((op1 (e12) (e10)) = (e12)))/\((~((op1 (e13) (e13)) = (e10)))\/((op1 (e13) (e10)) = (e13))))))))))\/((((op1 (e11) (op1 (e11) (e10))) = (e10))/\(((op1 (e11) (op1 (e11) (e11))) = (e11))/\(((op1 (e11) (op1 (e11) (e12))) = (e12))/\(((op1 (e11) (op1 (e11) (e13))) = (e13))/\(((~((op1 (e10) (e10)) = (e11)))\/((op1 (e10) (e11)) = (e10)))/\(((~((op1 (e11) (e11)) = (e11)))\/((op1 (e11) (e11)) = (e11)))/\(((~((op1 (e12) (e12)) = (e11)))\/((op1 (e12) (e11)) = (e12)))/\((~((op1 (e13) (e13)) = (e11)))\/((op1 (e13) (e11)) = (e13))))))))))\/((((op1 (e12) (op1 (e12) (e10))) = (e10))/\(((op1 (e12) (op1 (e12) (e11))) = (e11))/\(((op1 (e12) (op1 (e12) (e12))) = (e12))/\(((op1 (e12) (op1 (e12) (e13))) = (e13))/\(((~((op1 (e10) (e10)) = (e12)))\/((op1 (e10) (e12)) = (e10)))/\(((~((op1 (e11) (e11)) = (e12)))\/((op1 (e11) (e12)) = (e11)))/\(((~((op1 (e12) (e12)) = (e12)))\/((op1 (e12) (e12)) = (e12)))/\((~((op1 (e13) (e13)) = (e12)))\/((op1 (e13) (e12)) = (e13))))))))))\/(((op1 (e13) (op1 (e13) (e10))) = (e10))/\(((op1 (e13) (op1 (e13) (e11))) = (e11))/\(((op1 (e13) (op1 (e13) (e12))) = (e12))/\(((op1 (e13) (op1 (e13) (e13))) = (e13))/\(((~((op1 (e10) (e10)) = (e13)))\/((op1 (e10) (e13)) = (e10)))/\(((~((op1 (e11) (e11)) = (e13)))\/((op1 (e11) (e13)) = (e11)))/\(((~((op1 (e12) (e12)) = (e13)))\/((op1 (e12) (e13)) = (e12)))/\((~((op1 (e13) (e13)) = (e13)))\/((op1 (e13) (e13)) = (e13))))))))))))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = 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(e11))\/(((op1 (e12) (e13)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> (~((op2 (e21) (e21)) = (op2 (e21) (e22)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e20)) = (e20))\/(((op2 (e22) (e20)) = (e20))\/((op2 (e23) (e20)) = (e20))))) -> (~((e20) = (e22))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (((op2 (e23) (e20)) = (e22))\/(((op2 (e23) (e21)) = (e22))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (((op2 (e21) (e22)) = (e20))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e22)) = (e23))))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (((op2 (e22) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e22) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> ((op2 (e21) (op2 (e21) (e22))) = (e22)) -> (~((op2 (e21) (e22)) = (op2 (e21) (e23)))) -> (((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e21)) = (e22))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> (((op2 (e20) (e20)) = (e22))\/(((op2 (e21) (e20)) = (e22))\/(((op2 (e22) (e20)) = (e22))\/((op2 (e23) (e20)) = (e22))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e10)) = (e12))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e13) (e10)) = (e12))))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (~((h2 (op1 (e12) (e13))) = (op2 (h2 (e12)) (h2 (e13))))) -> ((h2 (e11)) = (e21)) -> ((h2 (e13)) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((h2 (e12)) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> ((op2 (e21) (op2 (e21) (e20))) = (e20)) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> ((e10) = (op1 (e11) (e11))) -> ((((op1 (e10) (e10)) = (e10))/\(((op1 (e10) (e10)) = (e10))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11))))/\(((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12))))/\((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))))))))\/((((op1 (e10) (e11)) = (e10))/\(((op1 (e11) (e10)) = (e10))/\(((~((op1 (e11) (e10)) = (e11)))\/(~((op1 (e11) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e11) (e12)) = (e11)))\/(~((op1 (e11) (e11)) = (e12))))/\((~((op1 (e11) (e13)) = (e11)))\/(~((op1 (e11) (e11)) = (e13)))))))))\/((((op1 (e10) (e12)) = (e10))/\(((op1 (e12) (e10)) = (e10))/\(((~((op1 (e12) (e10)) = (e12)))\/(~((op1 (e12) (e12)) = (e10))))/\(((~((op1 (e12) (e11)) = (e12)))\/(~((op1 (e12) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13)))))))))\/((((op1 (e10) (e13)) = (e10))/\(((op1 (e13) (e10)) = (e10))/\(((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e13) (e13)) = (e10))))/\(((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11))))/\(((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e13) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13)))))))))\/((((op1 (e11) (e10)) = (e11))/\(((op1 (e10) (e11)) = (e11))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11))))/\(((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12))))/\((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))))))))\/((((op1 (e11) (e11)) = (e11))/\(((op1 (e11) (e11)) = (e11))/\(((~((op1 (e11) (e10)) = (e11)))\/(~((op1 (e11) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e11) (e12)) = (e11)))\/(~((op1 (e11) (e11)) = (e12))))/\((~((op1 (e11) (e13)) = (e11)))\/(~((op1 (e11) (e11)) = (e13)))))))))\/((((op1 (e11) (e12)) = (e11))/\(((op1 (e12) (e11)) = (e11))/\(((~((op1 (e12) (e10)) = (e12)))\/(~((op1 (e12) (e12)) = (e10))))/\(((~((op1 (e12) (e11)) = (e12)))\/(~((op1 (e12) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13)))))))))\/((((op1 (e11) (e13)) = (e11))/\(((op1 (e13) (e11)) = (e11))/\(((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e13) (e13)) = (e10))))/\(((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11))))/\(((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e13) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13)))))))))\/((((op1 (e12) (e10)) = (e12))/\(((op1 (e10) (e12)) = (e12))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11))))/\(((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12))))/\((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))))))))\/((((op1 (e12) (e11)) = (e12))/\(((op1 (e11) (e12)) = (e12))/\(((~((op1 (e11) (e10)) = (e11)))\/(~((op1 (e11) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e11) (e12)) = (e11)))\/(~((op1 (e11) (e11)) = (e12))))/\((~((op1 (e11) (e13)) = (e11)))\/(~((op1 (e11) (e11)) = (e13)))))))))\/((((op1 (e12) (e12)) = (e12))/\(((op1 (e12) (e12)) = (e12))/\(((~((op1 (e12) (e10)) = (e12)))\/(~((op1 (e12) (e12)) = (e10))))/\(((~((op1 (e12) (e11)) = (e12)))\/(~((op1 (e12) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13)))))))))\/((((op1 (e12) (e13)) = (e12))/\(((op1 (e13) (e12)) = (e12))/\(((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e13) (e13)) = (e10))))/\(((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11))))/\(((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e13) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13)))))))))\/((((op1 (e13) (e10)) = (e13))/\(((op1 (e10) (e13)) = (e13))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11))))/\(((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12))))/\((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))))))))\/((((op1 (e13) (e11)) = (e13))/\(((op1 (e11) (e13)) = (e13))/\(((~((op1 (e11) (e10)) = (e11)))\/(~((op1 (e11) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e11) (e12)) = (e11)))\/(~((op1 (e11) (e11)) = (e12))))/\((~((op1 (e11) (e13)) = (e11)))\/(~((op1 (e11) (e11)) = (e13)))))))))\/((((op1 (e13) (e12)) = (e13))/\(((op1 (e12) (e13)) = (e13))/\(((~((op1 (e12) (e10)) = (e12)))\/(~((op1 (e12) (e12)) = (e10))))/\(((~((op1 (e12) (e11)) = (e12)))\/(~((op1 (e12) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13)))))))))\/(((op1 (e13) (e13)) = (e13))/\(((op1 (e13) (e13)) = (e13))/\(((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e13) (e13)) = (e10))))/\(((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11))))/\(((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e13) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13)))))))))))))))))))))))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((e12) = (e13))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e13) (e13)) = (e10))\/(((op1 (e13) (e13)) = (e11))\/(((op1 (e13) (e13)) = (e12))\/((op1 (e13) (e13)) = (e13))))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (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) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e11)) = (e12))\/((op1 (e10) (e11)) = (e13))))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((e10) = (e12))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> ((e12) = (op1 (op1 (op1 (e11) (e11)) (op1 (e11) (e11))) (op1 (e11) (e11)))) -> ((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e12))\/((op1 (e11) (e10)) = (e13))))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e20) (e21)) = (e20))\/(((op2 (e20) (e22)) = (e20))\/((op2 (e20) (e23)) = (e20))))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e20) (e21)) = (e23))\/(((op2 (e20) (e22)) = (e23))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e22)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> ((op2 (e23) (e21)) = (e23)) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (((op2 (e21) (e20)) = (e20))\/(((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e20)) = (e22))\/((op2 (e21) (e20)) = (e23))))) -> ((e22) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> ((op2 (e21) (op2 (e21) (e23))) = (e23)) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> ((e23) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((e20) = (op2 (e21) (e21))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (((op2 (e21) (e20)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/((op2 (e21) (e23)) = (e23))))) -> False).
% 55.08/55.28 do 0 intro. intros zenon_H128 zenon_H37d zenon_H100 zenon_H510 zenon_H498 zenon_H499 zenon_Hf1 zenon_H27e zenon_H101 zenon_H50d zenon_H382 zenon_H36e zenon_H355 zenon_H345 zenon_H35d zenon_H2d1 zenon_H2c9 zenon_H2d9 zenon_H2e2 zenon_H2ea zenon_H30b zenon_H321 zenon_H325 zenon_H2f6 zenon_H2fb zenon_H2fd zenon_H3c2 zenon_H7a zenon_H313 zenon_H474 zenon_H2b1 zenon_H2a5 zenon_H2a3 zenon_H4e6 zenon_H4e2 zenon_H6e zenon_H74 zenon_H489 zenon_H40f zenon_H437 zenon_H3b4 zenon_H3af zenon_H3ee zenon_H3a8 zenon_H481 zenon_H47a zenon_H3b1 zenon_H60 zenon_H282 zenon_H4ae zenon_Hb7 zenon_H4df zenon_H485 zenon_H4c3 zenon_H328 zenon_H358 zenon_H2ad zenon_H2c2 zenon_H30e zenon_H2b9 zenon_H32b zenon_H301 zenon_H2f8 zenon_H360 zenon_H316 zenon_H2e6 zenon_H505 zenon_H270 zenon_H461 zenon_H44f zenon_H2c0 zenon_H322 zenon_H2e7 zenon_H32e zenon_H514 zenon_H517 zenon_H13 zenon_H245 zenon_H23b zenon_H236 zenon_H21a zenon_H20c zenon_H1be zenon_H1b1 zenon_H1de zenon_H1cc zenon_H1d8 zenon_H1da zenon_H1e8 zenon_H1ed zenon_H1f4 zenon_H1f7 zenon_H1fa zenon_H1fd zenon_H204 zenon_H206 zenon_H209 zenon_H1a9 zenon_H17 zenon_H1e zenon_H25 zenon_H1a0 zenon_H19d zenon_H246 zenon_H192 zenon_H18e zenon_H18a zenon_H16c zenon_H172 zenon_H179 zenon_H180 zenon_H186 zenon_H14b zenon_H154 zenon_H155 zenon_H15 zenon_H15a zenon_H15f zenon_Hac zenon_H8d zenon_Ha5 zenon_H98 zenon_H93 zenon_Hc5 zenon_He8 zenon_H39d zenon_Hb0 zenon_H67 zenon_H9f zenon_H4a zenon_H3f zenon_H3e zenon_H32 zenon_H395 zenon_H394 zenon_H38f zenon_H3b zenon_H33 zenon_H116 zenon_H45 zenon_H399.
% 55.08/55.28 apply (zenon_or_s _ _ zenon_H128); [ zenon_intro zenon_H2b | zenon_intro zenon_H134 ].
% 55.08/55.28 apply (zenon_L5_); trivial.
% 55.08/55.28 apply (zenon_or_s _ _ zenon_H134); [ zenon_intro zenon_H4f | zenon_intro zenon_H135 ].
% 55.08/55.28 apply (zenon_L12_); trivial.
% 55.08/55.28 apply (zenon_or_s _ _ zenon_H135); [ zenon_intro zenon_H77 | zenon_intro zenon_H136 ].
% 55.08/55.28 apply (zenon_L895_); trivial.
% 55.08/55.28 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_H89 | zenon_intro zenon_H137 ].
% 55.08/55.28 apply (zenon_L329_); trivial.
% 55.08/55.28 apply (zenon_or_s _ _ zenon_H137); [ zenon_intro zenon_Hb6 | zenon_intro zenon_H138 ].
% 55.08/55.28 apply (zenon_L931_); trivial.
% 55.08/55.28 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H139 ].
% 55.08/55.28 apply (zenon_L32_); trivial.
% 55.08/55.28 apply (zenon_or_s _ _ zenon_H139); [ zenon_intro zenon_Hc8 | zenon_intro zenon_H13a ].
% 55.08/55.28 apply (zenon_L35_); trivial.
% 55.08/55.28 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_Hcd | zenon_intro zenon_H13b ].
% 55.08/55.28 apply (zenon_L331_); trivial.
% 55.08/55.28 apply (zenon_or_s _ _ zenon_H13b); [ zenon_intro zenon_Hcf | zenon_intro zenon_H13c ].
% 55.08/55.28 apply (zenon_L38_); trivial.
% 55.08/55.28 apply (zenon_or_s _ _ zenon_H13c); [ zenon_intro zenon_Hd1 | zenon_intro zenon_H13d ].
% 55.08/55.28 apply (zenon_L39_); trivial.
% 55.08/55.28 apply (zenon_or_s _ _ zenon_H13d); [ zenon_intro zenon_Hd8 | zenon_intro zenon_H13e ].
% 55.08/55.28 apply (zenon_L41_); trivial.
% 55.08/55.28 apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_He0 | zenon_intro zenon_H13f ].
% 55.08/55.28 apply (zenon_L42_); trivial.
% 55.08/55.28 apply (zenon_or_s _ _ zenon_H13f); [ zenon_intro zenon_He3 | zenon_intro zenon_H140 ].
% 55.08/55.28 apply (zenon_L43_); trivial.
% 55.08/55.28 apply (zenon_or_s _ _ zenon_H140); [ zenon_intro zenon_He6 | zenon_intro zenon_H141 ].
% 55.08/55.28 apply (zenon_L44_); trivial.
% 55.08/55.28 apply (zenon_or_s _ _ zenon_H141); [ zenon_intro zenon_H142 | zenon_intro zenon_H108 ].
% 55.08/55.28 apply (zenon_L328_); trivial.
% 55.08/55.28 apply (zenon_L54_); trivial.
% 55.08/55.28 (* end of lemma zenon_L932_ *)
% 55.08/55.28 assert (zenon_L933_ : ((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> ((op2 (e21) (op2 (e21) (e21))) = (e21)) -> ((e20) = (op2 (e21) (e21))) -> (~((e21) = (e22))) -> ((op2 (e22) (e21)) = (e22)) -> (~((op2 (e22) (e22)) = (e21))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (~((e10) = (e12))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> ((op1 (e10) (e11)) = (e11)) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e10)) = (e12))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e13) (e10)) = (e12))))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e12))\/((op1 (e11) (e10)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> ((op1 (e11) (op1 (e11) (e12))) = (e12)) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((e12) = (e13))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> ((op1 (e11) (e10)) = (e11)) -> ((op1 (e11) (op1 (e11) (e10))) = (e10)) -> (~((h2 (op1 (e12) (e13))) = (op2 (h2 (e12)) (h2 (e13))))) -> ((h2 (e11)) = (e21)) -> ((e23) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((h2 (e13)) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((e22) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> ((h2 (e12)) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> ((op1 (e11) (op1 (e11) (e13))) = (e13)) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> ((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) -> ((e12) = (op1 (op1 (op1 (e11) (e11)) (op1 (e11) (e11))) (op1 (e11) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e10) (e10)) = (e12))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> ((e10) = (op1 (e11) (e11))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (~((op1 (e10) (e10)) = (e10))) -> (((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e22) (e23)) = (e21))))) -> False).
% 55.08/55.28 do 0 intro. intros zenon_H25d zenon_H17 zenon_H1e zenon_H1a0 zenon_H498 zenon_H499 zenon_H33 zenon_H27e zenon_Hd3 zenon_H101 zenon_H4df zenon_H16c zenon_H485 zenon_H1fe zenon_H4c3 zenon_H1e8 zenon_H15f zenon_H15a zenon_H1a9 zenon_H2c2 zenon_H375 zenon_H30e zenon_H2ad zenon_H23b zenon_H2b9 zenon_H1cc zenon_H236 zenon_H32b zenon_H301 zenon_H2f8 zenon_H172 zenon_H1fd zenon_H18a zenon_H360 zenon_H316 zenon_H2e6 zenon_H163 zenon_H292 zenon_H505 zenon_H270 zenon_H3b zenon_H461 zenon_H3f zenon_H44f zenon_H2c0 zenon_H29e zenon_H322 zenon_H25 zenon_H2e7 zenon_H1f7 zenon_H21a zenon_H15 zenon_H155 zenon_H154 zenon_H4c4 zenon_H328 zenon_H13 zenon_H14b zenon_H146 zenon_H50d.
% 55.08/55.28 apply (zenon_or_s _ _ zenon_H25d); [ zenon_intro zenon_H25f | zenon_intro zenon_H1a1 ].
% 55.08/55.28 apply (zenon_or_s _ _ zenon_H50d); [ zenon_intro zenon_H49a | zenon_intro zenon_H50e ].
% 55.08/55.28 apply (zenon_L555_); trivial.
% 55.08/55.28 apply (zenon_or_s _ _ zenon_H50e); [ zenon_intro zenon_H27f | zenon_intro zenon_H50f ].
% 55.08/55.28 apply (zenon_L133_); trivial.
% 55.08/55.28 apply (zenon_or_s _ _ zenon_H50f); [ zenon_intro zenon_H104 | zenon_intro zenon_H3c7 ].
% 55.08/55.28 exact (zenon_H101 zenon_H104).
% 55.08/55.28 apply (zenon_L882_); trivial.
% 55.08/55.28 apply (zenon_L79_); trivial.
% 55.08/55.28 (* end of lemma zenon_L933_ *)
% 55.08/55.28 assert (zenon_L934_ : ((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12)))) -> (((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e22) (e23)) = (e21))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> ((e12) = (op1 (op1 (op1 (e11) (e11)) (op1 (e11) (e11))) (op1 (e11) (e11)))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> ((op1 (e11) (op1 (e11) (e13))) = (e13)) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> ((h2 (e12)) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> ((e22) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> ((h2 (e13)) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((e23) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((h2 (e11)) = (e21)) -> (~((h2 (op1 (e12) (e13))) = (op2 (h2 (e12)) (h2 (e13))))) -> ((op1 (e11) (op1 (e11) (e10))) = (e10)) -> ((op1 (e11) (e10)) = (e11)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((e12) = (e13))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> ((op1 (e11) (op1 (e11) (e12))) = (e12)) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e12))\/((op1 (e11) (e10)) = (e13))))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e10)) = (e12))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e13) (e10)) = (e12))))) -> ((op1 (e10) (e11)) = (e11)) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (~((e10) = (e12))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (~((op2 (e22) (e22)) = (e21))) -> ((op2 (e22) (e21)) = (e22)) -> (~((e21) = (e22))) -> ((e20) = (op2 (e21) (e21))) -> ((op2 (e21) (op2 (e21) (e21))) = (e21)) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> ((e10) = (op1 (e11) (e11))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (~((op1 (e10) (e10)) = (e10))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> ((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> ((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))) -> False).
% 55.08/55.28 do 0 intro. intros zenon_H25e zenon_H50d zenon_H14b zenon_H328 zenon_H154 zenon_H155 zenon_H21a zenon_H1f7 zenon_H2e7 zenon_H322 zenon_H29e zenon_H2c0 zenon_H44f zenon_H3f zenon_H461 zenon_H3b zenon_H270 zenon_H505 zenon_H292 zenon_H163 zenon_H2e6 zenon_H316 zenon_H360 zenon_H18a zenon_H1fd zenon_H172 zenon_H2f8 zenon_H301 zenon_H32b zenon_H236 zenon_H1cc zenon_H2b9 zenon_H23b zenon_H2ad zenon_H30e zenon_H375 zenon_H2c2 zenon_H1a9 zenon_H15a zenon_H15f zenon_H1e8 zenon_H4c3 zenon_H1fe zenon_H485 zenon_H16c zenon_H4df zenon_H101 zenon_Hd3 zenon_H27e zenon_H33 zenon_H499 zenon_H498 zenon_H246 zenon_H13 zenon_H19d zenon_H146 zenon_H1a0 zenon_H25 zenon_H1e zenon_H15 zenon_H17 zenon_H25d.
% 55.08/55.28 apply (zenon_or_s _ _ zenon_H25e); [ zenon_intro zenon_H458 | zenon_intro zenon_H4c4 ].
% 55.08/55.28 apply (zenon_L629_); trivial.
% 55.08/55.28 apply (zenon_L933_); trivial.
% 55.08/55.28 (* end of lemma zenon_L934_ *)
% 55.08/55.28 assert (zenon_L935_ : (((op1 (e11) (e10)) = (e11))/\(((op1 (e10) (e11)) = (e11))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11))))/\(((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12))))/\((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13))))))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> ((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> ((e10) = (op1 (e11) (e11))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> ((op2 (e21) (op2 (e21) (e21))) = (e21)) -> ((e20) = (op2 (e21) (e21))) -> (~((e21) = (e22))) -> ((op2 (e22) (e21)) = (e22)) -> (~((op2 (e22) (e22)) = (e21))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (~((e10) = (e12))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e10)) = (e12))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e13) (e10)) = (e12))))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e12))\/((op1 (e11) (e10)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> ((op1 (e11) (op1 (e11) (e12))) = (e12)) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((e12) = (e13))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> ((op1 (e11) (op1 (e11) (e10))) = (e10)) -> (~((h2 (op1 (e12) (e13))) = (op2 (h2 (e12)) (h2 (e13))))) -> ((h2 (e11)) = (e21)) -> ((e23) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((h2 (e13)) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((e22) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> ((h2 (e12)) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> ((op1 (e11) (op1 (e11) (e13))) = (e13)) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> ((e12) = (op1 (op1 (op1 (e11) (e11)) (op1 (e11) (e11))) (op1 (e11) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e22) (e23)) = (e21))))) -> False).
% 55.08/55.28 do 0 intro. intros zenon_H259 zenon_H17 zenon_H15 zenon_H1e zenon_H25 zenon_H1a0 zenon_H19d zenon_H13 zenon_H246 zenon_H498 zenon_H499 zenon_H33 zenon_H27e zenon_Hd3 zenon_H101 zenon_H4df zenon_H16c zenon_H485 zenon_H4c3 zenon_H1e8 zenon_H15f zenon_H15a zenon_H1a9 zenon_H2c2 zenon_H375 zenon_H30e zenon_H2ad zenon_H23b zenon_H2b9 zenon_H1cc zenon_H236 zenon_H32b zenon_H301 zenon_H2f8 zenon_H172 zenon_H1fd zenon_H18a zenon_H360 zenon_H316 zenon_H2e6 zenon_H292 zenon_H505 zenon_H270 zenon_H3b zenon_H461 zenon_H3f zenon_H44f zenon_H2c0 zenon_H29e zenon_H322 zenon_H2e7 zenon_H1f7 zenon_H21a zenon_H155 zenon_H154 zenon_H328 zenon_H14b zenon_H50d.
% 55.08/55.28 apply (zenon_and_s _ _ zenon_H259). zenon_intro zenon_H163. zenon_intro zenon_H25a.
% 55.08/55.28 apply (zenon_and_s _ _ zenon_H25a). zenon_intro zenon_H1fe. zenon_intro zenon_H149.
% 55.08/55.28 apply (zenon_and_s _ _ zenon_H149). zenon_intro zenon_H144. zenon_intro zenon_H14a.
% 55.08/55.28 apply (zenon_and_s _ _ zenon_H14a). zenon_intro zenon_H25c. zenon_intro zenon_H25b.
% 55.08/55.28 apply (zenon_and_s _ _ zenon_H25b). zenon_intro zenon_H25e. zenon_intro zenon_H25d.
% 55.08/55.28 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_H146 | zenon_intro zenon_H146 ].
% 55.08/55.28 apply (zenon_L934_); trivial.
% 55.08/55.28 apply (zenon_L934_); trivial.
% 55.08/55.28 (* end of lemma zenon_L935_ *)
% 55.08/55.28 assert (zenon_L936_ : ((((op1 (e10) (op1 (e10) (e10))) = (e10))/\(((op1 (e10) (op1 (e10) (e11))) = (e11))/\(((op1 (e10) (op1 (e10) (e12))) = (e12))/\(((op1 (e10) (op1 (e10) (e13))) = (e13))/\(((~((op1 (e10) (e10)) = (e10)))\/((op1 (e10) (e10)) = (e10)))/\(((~((op1 (e11) (e11)) = (e10)))\/((op1 (e11) (e10)) = (e11)))/\(((~((op1 (e12) (e12)) = (e10)))\/((op1 (e12) (e10)) = (e12)))/\((~((op1 (e13) (e13)) = (e10)))\/((op1 (e13) (e10)) = (e13))))))))))\/((((op1 (e11) (op1 (e11) (e10))) = (e10))/\(((op1 (e11) (op1 (e11) (e11))) = (e11))/\(((op1 (e11) (op1 (e11) (e12))) = (e12))/\(((op1 (e11) (op1 (e11) (e13))) = (e13))/\(((~((op1 (e10) (e10)) = (e11)))\/((op1 (e10) (e11)) = (e10)))/\(((~((op1 (e11) (e11)) = (e11)))\/((op1 (e11) (e11)) = (e11)))/\(((~((op1 (e12) (e12)) = (e11)))\/((op1 (e12) (e11)) = (e12)))/\((~((op1 (e13) (e13)) = (e11)))\/((op1 (e13) (e11)) = (e13))))))))))\/((((op1 (e12) (op1 (e12) (e10))) = (e10))/\(((op1 (e12) (op1 (e12) (e11))) = (e11))/\(((op1 (e12) (op1 (e12) (e12))) = (e12))/\(((op1 (e12) (op1 (e12) (e13))) = (e13))/\(((~((op1 (e10) (e10)) = (e12)))\/((op1 (e10) (e12)) = (e10)))/\(((~((op1 (e11) (e11)) = (e12)))\/((op1 (e11) (e12)) = (e11)))/\(((~((op1 (e12) (e12)) = (e12)))\/((op1 (e12) (e12)) = (e12)))/\((~((op1 (e13) (e13)) = (e12)))\/((op1 (e13) (e12)) = (e13))))))))))\/(((op1 (e13) (op1 (e13) (e10))) = (e10))/\(((op1 (e13) (op1 (e13) (e11))) = (e11))/\(((op1 (e13) (op1 (e13) (e12))) = (e12))/\(((op1 (e13) (op1 (e13) (e13))) = (e13))/\(((~((op1 (e10) (e10)) = (e13)))\/((op1 (e10) (e13)) = (e10)))/\(((~((op1 (e11) (e11)) = (e13)))\/((op1 (e11) (e13)) = (e11)))/\(((~((op1 (e12) (e12)) = (e13)))\/((op1 (e12) (e13)) = (e12)))/\((~((op1 (e13) (e13)) = (e13)))\/((op1 (e13) (e13)) = (e13))))))))))))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> ((op2 (e22) (e21)) = (e22)) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e10)) = (e12))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e13) (e10)) = (e12))))) -> (~((e10) = (e12))) -> (((op1 (e10) (e12)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e12)) = (e12))))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> ((op2 (e21) (op2 (e21) (e21))) = (e21)) -> ((e20) = (op2 (e21) (e21))) -> (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> (~((op2 (e22) (e23)) = (e22))) -> (~((op2 (e22) (e22)) = (e22))) -> (~((e21) = (e22))) -> ((e23) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((e22) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e22) (e22)) = (e21))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (~((h2 (op1 (e12) (e13))) = (op2 (h2 (e12)) (h2 (e13))))) -> ((h2 (e11)) = (e21)) -> ((h2 (e13)) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((h2 (e12)) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e22) (e23)) = (e21))))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (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)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (((op1 (e10) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e12) (e11)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((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 (e11) (e11)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e12) (e13)) = (e10))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> ((((op1 (e10) (e10)) = (e10))/\(((op1 (e10) (e10)) = (e10))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11))))/\(((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12))))/\((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))))))))\/((((op1 (e10) (e11)) = (e10))/\(((op1 (e11) (e10)) = (e10))/\(((~((op1 (e11) (e10)) = (e11)))\/(~((op1 (e11) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e11) (e12)) = (e11)))\/(~((op1 (e11) (e11)) = (e12))))/\((~((op1 (e11) (e13)) = (e11)))\/(~((op1 (e11) (e11)) = (e13)))))))))\/((((op1 (e10) (e12)) = (e10))/\(((op1 (e12) (e10)) = (e10))/\(((~((op1 (e12) (e10)) = (e12)))\/(~((op1 (e12) (e12)) = (e10))))/\(((~((op1 (e12) (e11)) = (e12)))\/(~((op1 (e12) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13)))))))))\/((((op1 (e10) (e13)) = (e10))/\(((op1 (e13) (e10)) = (e10))/\(((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e13) (e13)) = (e10))))/\(((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11))))/\(((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e13) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13)))))))))\/((((op1 (e11) (e10)) = (e11))/\(((op1 (e10) (e11)) = (e11))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11))))/\(((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12))))/\((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))))))))\/((((op1 (e11) (e11)) = (e11))/\(((op1 (e11) (e11)) = (e11))/\(((~((op1 (e11) (e10)) = (e11)))\/(~((op1 (e11) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e11) (e12)) = (e11)))\/(~((op1 (e11) (e11)) = (e12))))/\((~((op1 (e11) (e13)) = (e11)))\/(~((op1 (e11) (e11)) = (e13)))))))))\/((((op1 (e11) (e12)) = (e11))/\(((op1 (e12) (e11)) = (e11))/\(((~((op1 (e12) (e10)) = (e12)))\/(~((op1 (e12) (e12)) = (e10))))/\(((~((op1 (e12) (e11)) = (e12)))\/(~((op1 (e12) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13)))))))))\/((((op1 (e11) (e13)) = (e11))/\(((op1 (e13) (e11)) = (e11))/\(((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e13) (e13)) = (e10))))/\(((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11))))/\(((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e13) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13)))))))))\/((((op1 (e12) (e10)) = (e12))/\(((op1 (e10) (e12)) = (e12))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11))))/\(((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12))))/\((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))))))))\/((((op1 (e12) (e11)) = (e12))/\(((op1 (e11) (e12)) = (e12))/\(((~((op1 (e11) (e10)) = (e11)))\/(~((op1 (e11) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e11) (e12)) = (e11)))\/(~((op1 (e11) (e11)) = (e12))))/\((~((op1 (e11) (e13)) = (e11)))\/(~((op1 (e11) (e11)) = (e13)))))))))\/((((op1 (e12) (e12)) = (e12))/\(((op1 (e12) (e12)) = (e12))/\(((~((op1 (e12) (e10)) = (e12)))\/(~((op1 (e12) (e12)) = (e10))))/\(((~((op1 (e12) (e11)) = (e12)))\/(~((op1 (e12) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13)))))))))\/((((op1 (e12) (e13)) = (e12))/\(((op1 (e13) (e12)) = (e12))/\(((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e13) (e13)) = (e10))))/\(((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11))))/\(((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e13) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13)))))))))\/((((op1 (e13) (e10)) = (e13))/\(((op1 (e10) (e13)) = (e13))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11))))/\(((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12))))/\((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))))))))\/((((op1 (e13) (e11)) = (e13))/\(((op1 (e11) (e13)) = (e13))/\(((~((op1 (e11) (e10)) = (e11)))\/(~((op1 (e11) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e11) (e12)) = (e11)))\/(~((op1 (e11) (e11)) = (e12))))/\((~((op1 (e11) (e13)) = (e11)))\/(~((op1 (e11) (e11)) = (e13)))))))))\/((((op1 (e13) (e12)) = (e13))/\(((op1 (e12) (e13)) = (e13))/\(((~((op1 (e12) (e10)) = (e12)))\/(~((op1 (e12) (e12)) = (e10))))/\(((~((op1 (e12) (e11)) = (e12)))\/(~((op1 (e12) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13)))))))))\/(((op1 (e13) (e13)) = (e13))/\(((op1 (e13) (e13)) = (e13))/\(((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e13) (e13)) = (e10))))/\(((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11))))/\(((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e13) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13)))))))))))))))))))))))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((e12) = (e13))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e13)) = (e10))\/(((op1 (e13) (e13)) = (e11))\/(((op1 (e13) (e13)) = (e12))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> ((e12) = (op1 (op1 (op1 (e11) (e11)) (op1 (e11) (e11))) (op1 (e11) (e11)))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e12))\/((op1 (e11) (e10)) = (e13))))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> ((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) -> ((e10) = (op1 (e11) (e11))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> False).
% 55.08/55.28 do 0 intro. intros zenon_H36e zenon_H192 zenon_Hd3 zenon_H4df zenon_H485 zenon_H4c3 zenon_H16c zenon_H510 zenon_H498 zenon_H499 zenon_H33 zenon_Hf1 zenon_H281 zenon_Hd7 zenon_H27e zenon_H3b zenon_H3f zenon_Hb0 zenon_H101 zenon_H1fa zenon_H1de zenon_H1ed zenon_H505 zenon_H270 zenon_H461 zenon_H44f zenon_H2a5 zenon_H2b1 zenon_H474 zenon_H50d zenon_H1e8 zenon_H1f7 zenon_H32b zenon_H206 zenon_H32e zenon_H1a9 zenon_H246 zenon_H2fd zenon_H2c0 zenon_H2b9 zenon_H328 zenon_H325 zenon_H322 zenon_H1f4 zenon_H2c2 zenon_H321 zenon_H301 zenon_H30b zenon_H204 zenon_H30e zenon_H316 zenon_H19d zenon_H2ea zenon_H2e2 zenon_H2a3 zenon_H2e6 zenon_H2d9 zenon_H1cc zenon_H2d1 zenon_H245 zenon_H1d8 zenon_H1da zenon_H209 zenon_H358 zenon_H2c9 zenon_H355 zenon_H1fd zenon_H2f6 zenon_H23b zenon_H2ad zenon_H236 zenon_H2e7 zenon_H21a zenon_H313 zenon_H1be zenon_H345 zenon_H20c zenon_H1b1 zenon_H186 zenon_H180 zenon_H179 zenon_H172 zenon_H18e zenon_H14b zenon_H154 zenon_H155 zenon_H15a zenon_H15f zenon_H2fb zenon_H360 zenon_H2f8 zenon_H35d zenon_H18a zenon_H17 zenon_H15 zenon_H13 zenon_H1e zenon_H25 zenon_H1a0.
% 55.08/55.28 apply (zenon_or_s _ _ zenon_H36e); [ zenon_intro zenon_H244 | zenon_intro zenon_H36f ].
% 55.08/55.28 apply (zenon_L126_); trivial.
% 55.08/55.28 apply (zenon_or_s _ _ zenon_H36f); [ zenon_intro zenon_H371 | zenon_intro zenon_H370 ].
% 55.08/55.28 apply (zenon_and_s _ _ zenon_H371). zenon_intro zenon_H292. zenon_intro zenon_H372.
% 55.08/55.28 apply (zenon_and_s _ _ zenon_H372). zenon_intro zenon_H2a6. zenon_intro zenon_H373.
% 55.08/55.28 apply (zenon_and_s _ _ zenon_H373). zenon_intro zenon_H375. zenon_intro zenon_H374.
% 55.08/55.28 apply (zenon_and_s _ _ zenon_H374). zenon_intro zenon_H29e. zenon_intro zenon_H376.
% 55.08/55.28 apply (zenon_and_s _ _ zenon_H376). zenon_intro zenon_H378. zenon_intro zenon_H377.
% 55.08/55.28 apply (zenon_and_s _ _ zenon_H377). zenon_intro zenon_H37a. zenon_intro zenon_H379.
% 55.08/55.28 apply (zenon_and_s _ _ zenon_H379). zenon_intro zenon_H37c. zenon_intro zenon_H37b.
% 55.08/55.28 apply (zenon_or_s _ _ zenon_H37a); [ zenon_intro zenon_H473 | zenon_intro zenon_H1a7 ].
% 55.08/55.28 apply (zenon_or_s _ _ zenon_H37c); [ zenon_intro zenon_H23f | zenon_intro zenon_H202 ].
% 55.08/55.28 apply (zenon_or_s _ _ zenon_H37b); [ zenon_intro zenon_H20d | zenon_intro zenon_H1c3 ].
% 55.08/55.28 apply (zenon_or_s _ _ zenon_H245); [ zenon_intro zenon_H147 | zenon_intro zenon_H254 ].
% 55.08/55.28 apply (zenon_L60_); trivial.
% 55.08/55.28 apply (zenon_or_s _ _ zenon_H254); [ zenon_intro zenon_H164 | zenon_intro zenon_H255 ].
% 55.08/55.28 apply (zenon_L66_); trivial.
% 55.08/55.28 apply (zenon_or_s _ _ zenon_H255); [ zenon_intro zenon_H197 | zenon_intro zenon_H256 ].
% 55.08/55.28 apply (zenon_L879_); trivial.
% 55.08/55.28 apply (zenon_or_s _ _ zenon_H256); [ zenon_intro zenon_H199 | zenon_intro zenon_H257 ].
% 55.08/55.28 apply (zenon_L77_); trivial.
% 55.08/55.28 apply (zenon_or_s _ _ zenon_H257); [ zenon_intro zenon_H259 | zenon_intro zenon_H258 ].
% 55.08/55.28 apply (zenon_L935_); trivial.
% 55.08/55.28 apply (zenon_or_s _ _ zenon_H258); [ zenon_intro zenon_H1a5 | zenon_intro zenon_H262 ].
% 55.08/55.28 apply (zenon_L80_); trivial.
% 55.08/55.28 apply (zenon_or_s _ _ zenon_H262); [ zenon_intro zenon_H1ae | zenon_intro zenon_H263 ].
% 55.08/55.28 apply (zenon_L83_); trivial.
% 55.08/55.28 apply (zenon_or_s _ _ zenon_H263); [ zenon_intro zenon_H212 | zenon_intro zenon_H264 ].
% 55.08/55.28 apply (zenon_L161_); trivial.
% 55.08/55.28 apply (zenon_or_s _ _ zenon_H264); [ zenon_intro zenon_H220 | zenon_intro zenon_H265 ].
% 55.08/55.28 apply (zenon_L110_); trivial.
% 55.08/55.28 apply (zenon_or_s _ _ zenon_H265); [ zenon_intro zenon_H222 | zenon_intro zenon_H266 ].
% 55.08/55.28 apply (zenon_L111_); trivial.
% 55.08/55.28 apply (zenon_or_s _ _ zenon_H266); [ zenon_intro zenon_H225 | zenon_intro zenon_H267 ].
% 55.08/55.28 apply (zenon_L113_); trivial.
% 55.08/55.28 apply (zenon_or_s _ _ zenon_H267); [ zenon_intro zenon_H22d | zenon_intro zenon_H268 ].
% 55.08/55.28 apply (zenon_L114_); trivial.
% 55.08/55.28 apply (zenon_or_s _ _ zenon_H268); [ zenon_intro zenon_H230 | zenon_intro zenon_H269 ].
% 55.08/55.28 apply (zenon_L115_); trivial.
% 55.08/55.28 apply (zenon_or_s _ _ zenon_H269); [ zenon_intro zenon_H232 | zenon_intro zenon_H26a ].
% 55.08/55.28 apply (zenon_L116_); trivial.
% 55.08/55.28 apply (zenon_or_s _ _ zenon_H26a); [ zenon_intro zenon_H240 | zenon_intro zenon_H242 ].
% 55.08/55.28 apply (zenon_L166_); trivial.
% 55.08/55.28 apply (zenon_L125_); trivial.
% 55.08/55.28 apply (zenon_or_s _ _ zenon_H245); [ zenon_intro zenon_H147 | zenon_intro zenon_H254 ].
% 55.08/55.28 apply (zenon_L60_); trivial.
% 55.08/55.28 apply (zenon_or_s _ _ zenon_H254); [ zenon_intro zenon_H164 | zenon_intro zenon_H255 ].
% 55.08/55.28 apply (zenon_L66_); trivial.
% 55.08/55.28 apply (zenon_or_s _ _ zenon_H255); [ zenon_intro zenon_H197 | zenon_intro zenon_H256 ].
% 55.08/55.28 apply (zenon_L888_); trivial.
% 55.08/55.28 apply (zenon_or_s _ _ zenon_H256); [ zenon_intro zenon_H199 | zenon_intro zenon_H257 ].
% 55.08/55.28 apply (zenon_L77_); trivial.
% 55.08/55.28 apply (zenon_or_s _ _ zenon_H257); [ zenon_intro zenon_H259 | zenon_intro zenon_H258 ].
% 55.08/55.28 apply (zenon_L935_); trivial.
% 55.08/55.28 apply (zenon_or_s _ _ zenon_H258); [ zenon_intro zenon_H1a5 | zenon_intro zenon_H262 ].
% 55.08/55.28 apply (zenon_L80_); trivial.
% 55.08/55.28 apply (zenon_or_s _ _ zenon_H262); [ zenon_intro zenon_H1ae | zenon_intro zenon_H263 ].
% 55.08/55.28 apply (zenon_L83_); trivial.
% 55.08/55.28 apply (zenon_or_s _ _ zenon_H263); [ zenon_intro zenon_H212 | zenon_intro zenon_H264 ].
% 55.08/55.28 apply (zenon_L167_); trivial.
% 55.08/55.28 apply (zenon_or_s _ _ zenon_H264); [ zenon_intro zenon_H220 | zenon_intro zenon_H265 ].
% 55.08/55.28 apply (zenon_L110_); trivial.
% 55.08/55.28 apply (zenon_or_s _ _ zenon_H265); [ zenon_intro zenon_H222 | zenon_intro zenon_H266 ].
% 55.08/55.28 apply (zenon_L111_); trivial.
% 55.08/55.28 apply (zenon_or_s _ _ zenon_H266); [ zenon_intro zenon_H225 | zenon_intro zenon_H267 ].
% 55.08/55.28 apply (zenon_L113_); trivial.
% 55.08/55.28 apply (zenon_or_s _ _ zenon_H267); [ zenon_intro zenon_H22d | zenon_intro zenon_H268 ].
% 55.08/55.28 apply (zenon_L114_); trivial.
% 55.08/55.28 apply (zenon_or_s _ _ zenon_H268); [ zenon_intro zenon_H230 | zenon_intro zenon_H269 ].
% 55.08/55.28 apply (zenon_L115_); trivial.
% 55.08/55.28 apply (zenon_or_s _ _ zenon_H269); [ zenon_intro zenon_H232 | zenon_intro zenon_H26a ].
% 55.08/55.28 apply (zenon_L116_); trivial.
% 55.08/55.28 apply (zenon_or_s _ _ zenon_H26a); [ zenon_intro zenon_H240 | zenon_intro zenon_H242 ].
% 55.08/55.28 apply (zenon_L166_); trivial.
% 55.08/55.28 apply (zenon_L125_); trivial.
% 55.08/55.28 apply (zenon_or_s _ _ zenon_H245); [ zenon_intro zenon_H147 | zenon_intro zenon_H254 ].
% 55.08/55.28 apply (zenon_L60_); trivial.
% 55.08/55.28 apply (zenon_or_s _ _ zenon_H254); [ zenon_intro zenon_H164 | zenon_intro zenon_H255 ].
% 55.08/55.28 apply (zenon_L66_); trivial.
% 55.08/55.28 apply (zenon_or_s _ _ zenon_H255); [ zenon_intro zenon_H197 | zenon_intro zenon_H256 ].
% 55.08/55.28 apply (zenon_L893_); trivial.
% 55.08/55.28 apply (zenon_or_s _ _ zenon_H256); [ zenon_intro zenon_H199 | zenon_intro zenon_H257 ].
% 55.08/55.28 apply (zenon_L77_); trivial.
% 55.08/55.28 apply (zenon_or_s _ _ zenon_H257); [ zenon_intro zenon_H259 | zenon_intro zenon_H258 ].
% 55.08/55.28 apply (zenon_L935_); trivial.
% 55.08/55.28 apply (zenon_or_s _ _ zenon_H258); [ zenon_intro zenon_H1a5 | zenon_intro zenon_H262 ].
% 55.08/55.28 apply (zenon_L80_); trivial.
% 55.08/55.28 apply (zenon_or_s _ _ zenon_H262); [ zenon_intro zenon_H1ae | zenon_intro zenon_H263 ].
% 55.08/55.28 apply (zenon_L83_); trivial.
% 55.08/55.28 apply (zenon_or_s _ _ zenon_H263); [ zenon_intro zenon_H212 | zenon_intro zenon_H264 ].
% 55.08/55.28 apply (zenon_L169_); trivial.
% 55.08/55.28 apply (zenon_or_s _ _ zenon_H264); [ zenon_intro zenon_H220 | zenon_intro zenon_H265 ].
% 55.08/55.28 apply (zenon_L110_); trivial.
% 55.08/55.28 apply (zenon_or_s _ _ zenon_H265); [ zenon_intro zenon_H222 | zenon_intro zenon_H266 ].
% 55.08/55.28 apply (zenon_L111_); trivial.
% 55.08/55.28 apply (zenon_or_s _ _ zenon_H266); [ zenon_intro zenon_H225 | zenon_intro zenon_H267 ].
% 55.08/55.28 apply (zenon_L113_); trivial.
% 55.08/55.28 apply (zenon_or_s _ _ zenon_H267); [ zenon_intro zenon_H22d | zenon_intro zenon_H268 ].
% 55.08/55.28 apply (zenon_L114_); trivial.
% 55.08/55.28 apply (zenon_or_s _ _ zenon_H268); [ zenon_intro zenon_H230 | zenon_intro zenon_H269 ].
% 55.08/55.28 apply (zenon_L115_); trivial.
% 55.08/55.28 apply (zenon_or_s _ _ zenon_H269); [ zenon_intro zenon_H232 | zenon_intro zenon_H26a ].
% 55.08/55.28 apply (zenon_L116_); trivial.
% 55.08/55.28 apply (zenon_or_s _ _ zenon_H26a); [ zenon_intro zenon_H240 | zenon_intro zenon_H242 ].
% 55.08/55.28 apply (zenon_L166_); trivial.
% 55.08/55.28 apply (zenon_L125_); trivial.
% 55.08/55.28 apply (zenon_L532_); trivial.
% 55.08/55.28 apply (zenon_or_s _ _ zenon_H370); [ zenon_intro zenon_H335 | zenon_intro zenon_H363 ].
% 55.08/55.28 apply (zenon_L260_); trivial.
% 55.08/55.28 apply (zenon_L307_); trivial.
% 55.08/55.28 (* end of lemma zenon_L936_ *)
% 55.08/55.28 assert (zenon_L937_ : ((~((op2 (e22) (e23)) = (e22)))\/(~((op2 (e22) (e22)) = (e23)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> ((op2 (e22) (e20)) = (e20)) -> (((op2 (e22) (e22)) = (e20))\/(((op2 (e22) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e22)) = (e23))))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e12))\/((op1 (e11) (e10)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> ((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) -> ((e12) = (op1 (op1 (op1 (e11) (e11)) (op1 (e11) (e11))) (op1 (e11) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((e10) = (e12))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e11)) = (e12))\/((op1 (e10) (e11)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (((op1 (e13) (e13)) = (e10))\/(((op1 (e13) (e13)) = (e11))\/(((op1 (e13) (e13)) = (e12))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (~((e12) = (e13))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> ((((op1 (e10) (e10)) = (e10))/\(((op1 (e10) (e10)) = (e10))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11))))/\(((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12))))/\((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))))))))\/((((op1 (e10) (e11)) = (e10))/\(((op1 (e11) (e10)) = (e10))/\(((~((op1 (e11) (e10)) = (e11)))\/(~((op1 (e11) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e11) (e12)) = (e11)))\/(~((op1 (e11) (e11)) = (e12))))/\((~((op1 (e11) (e13)) = (e11)))\/(~((op1 (e11) (e11)) = (e13)))))))))\/((((op1 (e10) (e12)) = (e10))/\(((op1 (e12) (e10)) = (e10))/\(((~((op1 (e12) (e10)) = (e12)))\/(~((op1 (e12) (e12)) = (e10))))/\(((~((op1 (e12) (e11)) = (e12)))\/(~((op1 (e12) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13)))))))))\/((((op1 (e10) (e13)) = (e10))/\(((op1 (e13) (e10)) = (e10))/\(((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e13) (e13)) = (e10))))/\(((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11))))/\(((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e13) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13)))))))))\/((((op1 (e11) (e10)) = (e11))/\(((op1 (e10) (e11)) = (e11))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11))))/\(((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12))))/\((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))))))))\/((((op1 (e11) (e11)) = (e11))/\(((op1 (e11) (e11)) = (e11))/\(((~((op1 (e11) (e10)) = (e11)))\/(~((op1 (e11) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e11) (e12)) = (e11)))\/(~((op1 (e11) (e11)) = (e12))))/\((~((op1 (e11) (e13)) = (e11)))\/(~((op1 (e11) (e11)) = (e13)))))))))\/((((op1 (e11) (e12)) = (e11))/\(((op1 (e12) (e11)) = (e11))/\(((~((op1 (e12) (e10)) = (e12)))\/(~((op1 (e12) (e12)) = (e10))))/\(((~((op1 (e12) (e11)) = (e12)))\/(~((op1 (e12) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13)))))))))\/((((op1 (e11) (e13)) = (e11))/\(((op1 (e13) (e11)) = (e11))/\(((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e13) (e13)) = (e10))))/\(((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11))))/\(((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e13) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13)))))))))\/((((op1 (e12) (e10)) = (e12))/\(((op1 (e10) (e12)) = (e12))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11))))/\(((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12))))/\((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))))))))\/((((op1 (e12) (e11)) = (e12))/\(((op1 (e11) (e12)) = (e12))/\(((~((op1 (e11) (e10)) = (e11)))\/(~((op1 (e11) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e11) (e12)) = (e11)))\/(~((op1 (e11) (e11)) = (e12))))/\((~((op1 (e11) (e13)) = (e11)))\/(~((op1 (e11) (e11)) = (e13)))))))))\/((((op1 (e12) (e12)) = (e12))/\(((op1 (e12) (e12)) = (e12))/\(((~((op1 (e12) (e10)) = (e12)))\/(~((op1 (e12) (e12)) = (e10))))/\(((~((op1 (e12) (e11)) = (e12)))\/(~((op1 (e12) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13)))))))))\/((((op1 (e12) (e13)) = (e12))/\(((op1 (e13) (e12)) = (e12))/\(((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e13) (e13)) = (e10))))/\(((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11))))/\(((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e13) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13)))))))))\/((((op1 (e13) (e10)) = (e13))/\(((op1 (e10) (e13)) = (e13))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11))))/\(((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12))))/\((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))))))))\/((((op1 (e13) (e11)) = (e13))/\(((op1 (e11) (e13)) = (e13))/\(((~((op1 (e11) (e10)) = (e11)))\/(~((op1 (e11) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e11) (e12)) = (e11)))\/(~((op1 (e11) (e11)) = (e12))))/\((~((op1 (e11) (e13)) = (e11)))\/(~((op1 (e11) (e11)) = (e13)))))))))\/((((op1 (e13) (e12)) = (e13))/\(((op1 (e12) (e13)) = (e13))/\(((~((op1 (e12) (e10)) = (e12)))\/(~((op1 (e12) (e12)) = (e10))))/\(((~((op1 (e12) (e11)) = (e12)))\/(~((op1 (e12) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13)))))))))\/(((op1 (e13) (e13)) = (e13))/\(((op1 (e13) (e13)) = (e13))/\(((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e13) (e13)) = (e10))))/\(((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11))))/\(((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e13) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13)))))))))))))))))))))))) -> ((e10) = (op1 (e11) (e11))) -> ((op2 (e22) (e21)) = (e22)) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e10)) = (e12))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e13) (e10)) = (e12))))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (((op1 (e10) (e12)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e12)) = (e12))))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> ((op2 (e21) (op2 (e21) (e21))) = (e21)) -> ((e20) = (op2 (e21) (e21))) -> (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> (~((op2 (e22) (e22)) = (e22))) -> (~((e21) = (e22))) -> ((e23) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((e22) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e22) (e22)) = (e21))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (~((h2 (op1 (e12) (e13))) = (op2 (h2 (e12)) (h2 (e13))))) -> ((h2 (e11)) = (e21)) -> ((h2 (e13)) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((h2 (e12)) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e22) (e23)) = (e21))))) -> (((op1 (e10) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e12) (e11)) = (e13))))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e12) (e13)) = (e10))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> ((((op1 (e10) (op1 (e10) (e10))) = (e10))/\(((op1 (e10) (op1 (e10) (e11))) = (e11))/\(((op1 (e10) (op1 (e10) (e12))) = (e12))/\(((op1 (e10) (op1 (e10) (e13))) = (e13))/\(((~((op1 (e10) (e10)) = (e10)))\/((op1 (e10) (e10)) = (e10)))/\(((~((op1 (e11) (e11)) = (e10)))\/((op1 (e11) (e10)) = (e11)))/\(((~((op1 (e12) (e12)) = (e10)))\/((op1 (e12) (e10)) = (e12)))/\((~((op1 (e13) (e13)) = (e10)))\/((op1 (e13) (e10)) = (e13))))))))))\/((((op1 (e11) (op1 (e11) (e10))) = (e10))/\(((op1 (e11) (op1 (e11) (e11))) = (e11))/\(((op1 (e11) (op1 (e11) (e12))) = (e12))/\(((op1 (e11) (op1 (e11) (e13))) = (e13))/\(((~((op1 (e10) (e10)) = (e11)))\/((op1 (e10) (e11)) = (e10)))/\(((~((op1 (e11) (e11)) = (e11)))\/((op1 (e11) (e11)) = (e11)))/\(((~((op1 (e12) (e12)) = (e11)))\/((op1 (e12) (e11)) = (e12)))/\((~((op1 (e13) (e13)) = (e11)))\/((op1 (e13) (e11)) = (e13))))))))))\/((((op1 (e12) (op1 (e12) (e10))) = (e10))/\(((op1 (e12) (op1 (e12) (e11))) = (e11))/\(((op1 (e12) (op1 (e12) (e12))) = (e12))/\(((op1 (e12) (op1 (e12) (e13))) = (e13))/\(((~((op1 (e10) (e10)) = (e12)))\/((op1 (e10) (e12)) = (e10)))/\(((~((op1 (e11) (e11)) = (e12)))\/((op1 (e11) (e12)) = (e11)))/\(((~((op1 (e12) (e12)) = (e12)))\/((op1 (e12) (e12)) = (e12)))/\((~((op1 (e13) (e13)) = (e12)))\/((op1 (e13) (e12)) = (e13))))))))))\/(((op1 (e13) (op1 (e13) (e10))) = (e10))/\(((op1 (e13) (op1 (e13) (e11))) = (e11))/\(((op1 (e13) (op1 (e13) (e12))) = (e12))/\(((op1 (e13) (op1 (e13) (e13))) = (e13))/\(((~((op1 (e10) (e10)) = (e13)))\/((op1 (e10) (e13)) = (e10)))/\(((~((op1 (e11) (e11)) = (e13)))\/((op1 (e11) (e13)) = (e11)))/\(((~((op1 (e12) (e12)) = (e13)))\/((op1 (e12) (e13)) = (e12)))/\((~((op1 (e13) (e13)) = (e13)))\/((op1 (e13) (e13)) = (e13))))))))))))) -> False).
% 55.08/55.28 do 0 intro. intros zenon_Hdf zenon_H37d zenon_H121 zenon_H100 zenon_H15f zenon_H15a zenon_H15 zenon_H155 zenon_H154 zenon_H14b zenon_H186 zenon_H180 zenon_H179 zenon_H172 zenon_H16c zenon_H18a zenon_H18e zenon_H192 zenon_H246 zenon_H19d zenon_H1a0 zenon_H25 zenon_H1e zenon_H17 zenon_H1a9 zenon_H209 zenon_H206 zenon_H204 zenon_H1fd zenon_H1fa zenon_H1f7 zenon_H1f4 zenon_H1ed zenon_H1e8 zenon_H1da zenon_H1d8 zenon_H1cc zenon_H1de zenon_H1b1 zenon_H1be zenon_H20c zenon_H21a zenon_H236 zenon_H23b zenon_H245 zenon_H13 zenon_Hd3 zenon_H4df zenon_H485 zenon_H4c3 zenon_H328 zenon_H510 zenon_H498 zenon_H499 zenon_H33 zenon_Hf1 zenon_Hd7 zenon_H27e zenon_H3b zenon_H3f zenon_Hb0 zenon_H101 zenon_H2ad zenon_H2c2 zenon_H30e zenon_H2b9 zenon_H32b zenon_H301 zenon_H2f8 zenon_H360 zenon_H316 zenon_H2e6 zenon_H505 zenon_H270 zenon_H461 zenon_H44f zenon_H2c0 zenon_H322 zenon_H2e7 zenon_H32e zenon_H358 zenon_H2a3 zenon_H2a5 zenon_H2b1 zenon_H474 zenon_H313 zenon_H50d zenon_H2fd zenon_H2fb zenon_H2f6 zenon_H325 zenon_H321 zenon_H30b zenon_H2ea zenon_H2e2 zenon_H2d9 zenon_H2c9 zenon_H2d1 zenon_H35d zenon_H345 zenon_H355 zenon_H36e.
% 55.08/55.28 apply (zenon_or_s _ _ zenon_Hdf); [ zenon_intro zenon_H281 | zenon_intro zenon_H37f ].
% 55.08/55.28 apply (zenon_L936_); trivial.
% 55.08/55.28 apply (zenon_L310_); trivial.
% 55.08/55.28 (* end of lemma zenon_L937_ *)
% 55.08/55.28 assert (zenon_L938_ : (((op2 (e20) (e22)) = (e20))/\(((op2 (e22) (e20)) = (e20))/\(((~((op2 (e22) (e20)) = (e22)))\/(~((op2 (e22) (e22)) = (e20))))/\(((~((op2 (e22) (e21)) = (e22)))\/(~((op2 (e22) (e22)) = (e21))))/\(((~((op2 (e22) (e22)) = (e22)))\/(~((op2 (e22) (e22)) = (e22))))/\((~((op2 (e22) (e23)) = (e22)))\/(~((op2 (e22) (e22)) = (e23))))))))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> (((op2 (e22) (e22)) = (e20))\/(((op2 (e22) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e22)) = (e23))))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e12))\/((op1 (e11) (e10)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> ((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) -> ((e12) = (op1 (op1 (op1 (e11) (e11)) (op1 (e11) (e11))) (op1 (e11) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((e10) = (e12))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e11)) = (e12))\/((op1 (e10) (e11)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (((op1 (e13) (e13)) = (e10))\/(((op1 (e13) (e13)) = (e11))\/(((op1 (e13) (e13)) = (e12))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (~((e12) = (e13))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> ((((op1 (e10) (e10)) = (e10))/\(((op1 (e10) (e10)) = (e10))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11))))/\(((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12))))/\((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))))))))\/((((op1 (e10) (e11)) = (e10))/\(((op1 (e11) (e10)) = (e10))/\(((~((op1 (e11) (e10)) = (e11)))\/(~((op1 (e11) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e11) (e12)) = (e11)))\/(~((op1 (e11) (e11)) = (e12))))/\((~((op1 (e11) (e13)) = (e11)))\/(~((op1 (e11) (e11)) = (e13)))))))))\/((((op1 (e10) (e12)) = (e10))/\(((op1 (e12) (e10)) = (e10))/\(((~((op1 (e12) (e10)) = (e12)))\/(~((op1 (e12) (e12)) = (e10))))/\(((~((op1 (e12) (e11)) = (e12)))\/(~((op1 (e12) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13)))))))))\/((((op1 (e10) (e13)) = (e10))/\(((op1 (e13) (e10)) = (e10))/\(((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e13) (e13)) = (e10))))/\(((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11))))/\(((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e13) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13)))))))))\/((((op1 (e11) (e10)) = (e11))/\(((op1 (e10) (e11)) = (e11))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11))))/\(((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12))))/\((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))))))))\/((((op1 (e11) (e11)) = (e11))/\(((op1 (e11) (e11)) = (e11))/\(((~((op1 (e11) (e10)) = (e11)))\/(~((op1 (e11) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e11) (e12)) = (e11)))\/(~((op1 (e11) (e11)) = (e12))))/\((~((op1 (e11) (e13)) = (e11)))\/(~((op1 (e11) (e11)) = (e13)))))))))\/((((op1 (e11) (e12)) = (e11))/\(((op1 (e12) (e11)) = (e11))/\(((~((op1 (e12) (e10)) = (e12)))\/(~((op1 (e12) (e12)) = (e10))))/\(((~((op1 (e12) (e11)) = (e12)))\/(~((op1 (e12) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13)))))))))\/((((op1 (e11) (e13)) = (e11))/\(((op1 (e13) (e11)) = (e11))/\(((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e13) (e13)) = (e10))))/\(((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11))))/\(((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e13) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13)))))))))\/((((op1 (e12) (e10)) = (e12))/\(((op1 (e10) (e12)) = (e12))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11))))/\(((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12))))/\((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))))))))\/((((op1 (e12) (e11)) = (e12))/\(((op1 (e11) (e12)) = (e12))/\(((~((op1 (e11) (e10)) = (e11)))\/(~((op1 (e11) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e11) (e12)) = (e11)))\/(~((op1 (e11) (e11)) = (e12))))/\((~((op1 (e11) (e13)) = (e11)))\/(~((op1 (e11) (e11)) = (e13)))))))))\/((((op1 (e12) (e12)) = (e12))/\(((op1 (e12) (e12)) = (e12))/\(((~((op1 (e12) (e10)) = (e12)))\/(~((op1 (e12) (e12)) = (e10))))/\(((~((op1 (e12) (e11)) = (e12)))\/(~((op1 (e12) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13)))))))))\/((((op1 (e12) (e13)) = (e12))/\(((op1 (e13) (e12)) = (e12))/\(((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e13) (e13)) = (e10))))/\(((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11))))/\(((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e13) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13)))))))))\/((((op1 (e13) (e10)) = (e13))/\(((op1 (e10) (e13)) = (e13))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11))))/\(((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12))))/\((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))))))))\/((((op1 (e13) (e11)) = (e13))/\(((op1 (e11) (e13)) = (e13))/\(((~((op1 (e11) (e10)) = (e11)))\/(~((op1 (e11) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e11) (e12)) = (e11)))\/(~((op1 (e11) (e11)) = (e12))))/\((~((op1 (e11) (e13)) = (e11)))\/(~((op1 (e11) (e11)) = (e13)))))))))\/((((op1 (e13) (e12)) = (e13))/\(((op1 (e12) (e13)) = (e13))/\(((~((op1 (e12) (e10)) = (e12)))\/(~((op1 (e12) (e12)) = (e10))))/\(((~((op1 (e12) (e11)) = (e12)))\/(~((op1 (e12) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13)))))))))\/(((op1 (e13) (e13)) = (e13))/\(((op1 (e13) (e13)) = (e13))/\(((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e13) (e13)) = (e10))))/\(((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11))))/\(((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e13) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13)))))))))))))))))))))))) -> ((e10) = (op1 (e11) (e11))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e10)) = (e12))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e13) (e10)) = (e12))))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (((op1 (e10) (e12)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e12)) = (e12))))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> ((op2 (e21) (op2 (e21) (e21))) = (e21)) -> ((e20) = (op2 (e21) (e21))) -> (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> (~((e21) = (e22))) -> ((e23) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((e22) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (~((h2 (op1 (e12) (e13))) = (op2 (h2 (e12)) (h2 (e13))))) -> ((h2 (e11)) = (e21)) -> ((h2 (e13)) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((h2 (e12)) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e22) (e23)) = (e21))))) -> (((op1 (e10) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e12) (e11)) = (e13))))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e12) (e13)) = (e10))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> ((((op1 (e10) (op1 (e10) (e10))) = (e10))/\(((op1 (e10) (op1 (e10) (e11))) = (e11))/\(((op1 (e10) (op1 (e10) (e12))) = (e12))/\(((op1 (e10) (op1 (e10) (e13))) = (e13))/\(((~((op1 (e10) (e10)) = (e10)))\/((op1 (e10) (e10)) = (e10)))/\(((~((op1 (e11) (e11)) = (e10)))\/((op1 (e11) (e10)) = (e11)))/\(((~((op1 (e12) (e12)) = (e10)))\/((op1 (e12) (e10)) = (e12)))/\((~((op1 (e13) (e13)) = (e10)))\/((op1 (e13) (e10)) = (e13))))))))))\/((((op1 (e11) (op1 (e11) (e10))) = (e10))/\(((op1 (e11) (op1 (e11) (e11))) = (e11))/\(((op1 (e11) (op1 (e11) (e12))) = (e12))/\(((op1 (e11) (op1 (e11) (e13))) = (e13))/\(((~((op1 (e10) (e10)) = (e11)))\/((op1 (e10) (e11)) = (e10)))/\(((~((op1 (e11) (e11)) = (e11)))\/((op1 (e11) (e11)) = (e11)))/\(((~((op1 (e12) (e12)) = (e11)))\/((op1 (e12) (e11)) = (e12)))/\((~((op1 (e13) (e13)) = (e11)))\/((op1 (e13) (e11)) = (e13))))))))))\/((((op1 (e12) (op1 (e12) (e10))) = (e10))/\(((op1 (e12) (op1 (e12) (e11))) = (e11))/\(((op1 (e12) (op1 (e12) (e12))) = (e12))/\(((op1 (e12) (op1 (e12) (e13))) = (e13))/\(((~((op1 (e10) (e10)) = (e12)))\/((op1 (e10) (e12)) = (e10)))/\(((~((op1 (e11) (e11)) = (e12)))\/((op1 (e11) (e12)) = (e11)))/\(((~((op1 (e12) (e12)) = (e12)))\/((op1 (e12) (e12)) = (e12)))/\((~((op1 (e13) (e13)) = (e12)))\/((op1 (e13) (e12)) = (e13))))))))))\/(((op1 (e13) (op1 (e13) (e10))) = (e10))/\(((op1 (e13) (op1 (e13) (e11))) = (e11))/\(((op1 (e13) (op1 (e13) (e12))) = (e12))/\(((op1 (e13) (op1 (e13) (e13))) = (e13))/\(((~((op1 (e10) (e10)) = (e13)))\/((op1 (e10) (e13)) = (e10)))/\(((~((op1 (e11) (e11)) = (e13)))\/((op1 (e11) (e13)) = (e11)))/\(((~((op1 (e12) (e12)) = (e13)))\/((op1 (e12) (e13)) = (e12)))/\((~((op1 (e13) (e13)) = (e13)))\/((op1 (e13) (e13)) = (e13))))))))))))) -> ((op2 (e22) (e21)) = (e22)) -> False).
% 55.08/55.28 do 0 intro. intros zenon_H77 zenon_H37d zenon_H100 zenon_H15f zenon_H15a zenon_H15 zenon_H155 zenon_H154 zenon_H14b zenon_H186 zenon_H180 zenon_H179 zenon_H172 zenon_H16c zenon_H18a zenon_H18e zenon_H192 zenon_H246 zenon_H19d zenon_H1a0 zenon_H25 zenon_H1e zenon_H17 zenon_H1a9 zenon_H209 zenon_H206 zenon_H204 zenon_H1fd zenon_H1fa zenon_H1f7 zenon_H1f4 zenon_H1ed zenon_H1e8 zenon_H1da zenon_H1d8 zenon_H1cc zenon_H1de zenon_H1b1 zenon_H1be zenon_H20c zenon_H21a zenon_H236 zenon_H23b zenon_H245 zenon_H13 zenon_H4df zenon_H485 zenon_H4c3 zenon_H328 zenon_H510 zenon_H498 zenon_H499 zenon_H33 zenon_Hf1 zenon_H27e zenon_H3b zenon_H3f zenon_Hb0 zenon_H2ad zenon_H2c2 zenon_H30e zenon_H2b9 zenon_H32b zenon_H301 zenon_H2f8 zenon_H360 zenon_H316 zenon_H2e6 zenon_H505 zenon_H270 zenon_H461 zenon_H44f zenon_H2c0 zenon_H322 zenon_H2e7 zenon_H32e zenon_H358 zenon_H2a3 zenon_H2a5 zenon_H2b1 zenon_H474 zenon_H313 zenon_H50d zenon_H2fd zenon_H2fb zenon_H2f6 zenon_H325 zenon_H321 zenon_H30b zenon_H2ea zenon_H2e2 zenon_H2d9 zenon_H2c9 zenon_H2d1 zenon_H35d zenon_H345 zenon_H355 zenon_H36e zenon_Hd3.
% 55.08/55.28 apply (zenon_and_s _ _ zenon_H77). zenon_intro zenon_H57. zenon_intro zenon_H78.
% 55.08/55.28 apply (zenon_and_s _ _ zenon_H78). zenon_intro zenon_H121. zenon_intro zenon_Hda.
% 55.08/55.28 apply (zenon_and_s _ _ zenon_Hda). zenon_intro zenon_Hdc. zenon_intro zenon_Hdb.
% 55.08/55.28 apply (zenon_and_s _ _ zenon_Hdb). zenon_intro zenon_Hde. zenon_intro zenon_Hdd.
% 55.08/55.28 apply (zenon_and_s _ _ zenon_Hdd). zenon_intro zenon_Hd5. zenon_intro zenon_Hdf.
% 55.08/55.28 apply (zenon_or_s _ _ zenon_Hde); [ zenon_intro zenon_Hf2 | zenon_intro zenon_H101 ].
% 55.08/55.28 exact (zenon_Hf2 zenon_Hd3).
% 55.08/55.28 apply (zenon_or_s _ _ zenon_Hd5); [ zenon_intro zenon_Hd7 | zenon_intro zenon_Hd7 ].
% 55.08/55.28 apply (zenon_L937_); trivial.
% 55.08/55.28 apply (zenon_L937_); trivial.
% 55.08/55.28 (* end of lemma zenon_L938_ *)
% 55.08/55.28 assert (zenon_L939_ : (((op2 (e20) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> ((e20) = (op2 (e21) (e21))) -> ((op2 (e22) (e21)) = (e22)) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> (((op2 (e20) (e21)) = (e20))\/(((op2 (e20) (e21)) = (e21))\/(((op2 (e20) (e21)) = (e22))\/((op2 (e20) (e21)) = (e23))))) -> ((op2 (e21) (e20)) = (e21)) -> (~((op2 (e21) (e20)) = (op2 (e21) (e23)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> ((e10) = (op1 (e11) (e11))) -> ((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e11)) = (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))))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> ((e23) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((h2 (e13)) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((e22) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> ((h2 (e12)) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> ((h2 (e11)) = (e21)) -> (~((h2 (op1 (e12) (e13))) = (op2 (h2 (e12)) (h2 (e13))))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> ((op1 (e12) (e10)) = (e10)) -> ((op1 (e10) (e12)) = (e10)) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (((op1 (e10) (e12)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e12)) = (e12))))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> ((e12) = (op1 (op1 (op1 (e11) (e11)) (op1 (e11) (e11))) (op1 (e11) (e11)))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (~((e12) = (e13))) -> (~((op1 (e12) (e13)) = (e12))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> ((op1 (e11) (op1 (e11) (e12))) = (e12)) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e12))\/((op1 (e11) (e10)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> ((op1 (e11) (op1 (e11) (e11))) = (e11)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> ((op1 (e11) (op1 (e11) (e10))) = (e10)) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e11)) = (e12))\/((op1 (e10) (e11)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e11) (e11)) = (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 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (~((op1 (e12) (e12)) = (e10))) -> (~((op1 (e12) (e12)) = (e11))) -> (~((op1 (e12) (e12)) = (e12))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> ((op1 (e11) (op1 (e11) (e13))) = (e13)) -> (~((op2 (e23) (e23)) = (e21))) -> False).
% 55.08/55.28 do 0 intro. intros zenon_H3e4 zenon_H93 zenon_H33 zenon_Hd3 zenon_H286 zenon_H3c2 zenon_H8d zenon_H289 zenon_H4e zenon_Hca zenon_H25 zenon_H13 zenon_H15 zenon_H1e zenon_H17 zenon_H209 zenon_H358 zenon_H1a9 zenon_H473 zenon_H1fa zenon_H32b zenon_H322 zenon_H2e6 zenon_H3b zenon_H461 zenon_H3f zenon_H44f zenon_H270 zenon_H505 zenon_H1e8 zenon_H1f7 zenon_H2c0 zenon_H1de zenon_H293 zenon_H18f zenon_H474 zenon_H1a0 zenon_H510 zenon_H18a zenon_H23b zenon_H155 zenon_H21a zenon_H236 zenon_H27d zenon_H30e zenon_H313 zenon_H186 zenon_H1ed zenon_H375 zenon_H32e zenon_H172 zenon_H179 zenon_H180 zenon_H2b9 zenon_H1be zenon_H1b1 zenon_H15f zenon_H14b zenon_H2ad zenon_H2a5 zenon_H2a6 zenon_H2a3 zenon_H292 zenon_H1d8 zenon_H2b1 zenon_H154 zenon_H15a zenon_H206 zenon_H19d zenon_H360 zenon_H2f8 zenon_H1fd zenon_H301 zenon_H316 zenon_H204 zenon_H2e7 zenon_H2c2 zenon_H1da zenon_H1db zenon_H23f zenon_H1d1 zenon_H1cc zenon_H29e zenon_H383.
% 55.08/55.28 apply (zenon_or_s _ _ zenon_H3e4); [ zenon_intro zenon_H3c3 | zenon_intro zenon_H3e5 ].
% 55.08/55.28 apply (zenon_L353_); trivial.
% 55.08/55.28 apply (zenon_or_s _ _ zenon_H3e5); [ zenon_intro zenon_Hcb | zenon_intro zenon_H3e6 ].
% 55.08/55.28 apply (zenon_L36_); trivial.
% 55.08/55.28 apply (zenon_or_s _ _ zenon_H3e6); [ zenon_intro zenon_H3c7 | zenon_intro zenon_H386 ].
% 55.08/55.28 apply (zenon_L877_); trivial.
% 55.08/55.28 exact (zenon_H383 zenon_H386).
% 55.08/55.28 (* end of lemma zenon_L939_ *)
% 55.08/55.28 assert (zenon_L940_ : ((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13)))) -> ((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12)))) -> (((op2 (e20) (e21)) = (e20))\/(((op2 (e20) (e21)) = (e21))\/(((op2 (e20) (e21)) = (e22))\/((op2 (e20) (e21)) = (e23))))) -> ((e23) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> ((op2 (e22) (e21)) = (e22)) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> ((e20) = (op2 (e21) (e21))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e23)))) -> ((op2 (e21) (e20)) = (e21)) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> ((op1 (e10) (e12)) = (e10)) -> (~((op1 (e12) (e12)) = (e11))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (~((op1 (e12) (e12)) = (e12))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((e12) = (e13))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e11)) = (e12))\/((op1 (e10) (e11)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e12))\/((op1 (e11) (e10)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> ((op1 (e11) (op1 (e11) (e12))) = (e12)) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> ((op1 (e12) (e10)) = (e10)) -> ((op1 (e11) (op1 (e11) (e10))) = (e10)) -> (~((h2 (op1 (e12) (e13))) = (op2 (h2 (e12)) (h2 (e13))))) -> ((h2 (e11)) = (e21)) -> ((h2 (e13)) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((e22) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> ((h2 (e12)) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> ((op1 (e11) (op1 (e11) (e13))) = (e13)) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> ((e10) = (op1 (e11) (e11))) -> ((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) -> ((e12) = (op1 (op1 (op1 (e11) (e11)) (op1 (e11) (e11))) (op1 (e11) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e11) (e11)) = (e11))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e12)) = (e10))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> ((op1 (e11) (op1 (e11) (e11))) = (e11)) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e12)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e12)) = (e12))))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op2 (e23) (e23)) = (e21))) -> (((op2 (e20) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> False).
% 55.08/55.28 do 0 intro. intros zenon_H22c zenon_H224 zenon_H289 zenon_H3b zenon_H93 zenon_Hd3 zenon_H286 zenon_H3c2 zenon_H33 zenon_H8d zenon_Hca zenon_H4e zenon_H1fa zenon_H1de zenon_H18f zenon_H23f zenon_H1da zenon_H1ed zenon_H209 zenon_H15a zenon_H1d1 zenon_H2ad zenon_H236 zenon_H186 zenon_H179 zenon_H206 zenon_H17 zenon_H204 zenon_H1e8 zenon_H15f zenon_H1a9 zenon_H14b zenon_H2c2 zenon_H375 zenon_H30e zenon_H23b zenon_H2b9 zenon_H1cc zenon_H32b zenon_H301 zenon_H2f8 zenon_H172 zenon_H1fd zenon_H18a zenon_H360 zenon_H316 zenon_H2e6 zenon_H293 zenon_H292 zenon_H505 zenon_H270 zenon_H461 zenon_H3f zenon_H44f zenon_H2c0 zenon_H29e zenon_H322 zenon_H25 zenon_H2e7 zenon_H1f7 zenon_H19d zenon_H180 zenon_H32e zenon_H21a zenon_H358 zenon_H13 zenon_H15 zenon_H155 zenon_H154 zenon_H473 zenon_H1be zenon_H1d8 zenon_H1db zenon_H1e zenon_H1a0 zenon_H474 zenon_H1b1 zenon_H2b1 zenon_H2a6 zenon_H2a5 zenon_H2a3 zenon_H510 zenon_H313 zenon_H383 zenon_H3e4.
% 55.08/55.28 apply (zenon_or_s _ _ zenon_H22c); [ zenon_intro zenon_H27d | zenon_intro zenon_H29d ].
% 55.08/55.28 apply (zenon_L939_); trivial.
% 55.08/55.28 apply (zenon_L184_); trivial.
% 55.08/55.28 (* end of lemma zenon_L940_ *)
% 55.08/55.28 assert (zenon_L941_ : (((op1 (e10) (e12)) = (e10))/\(((op1 (e12) (e10)) = (e10))/\(((~((op1 (e12) (e10)) = (e12)))\/(~((op1 (e12) (e12)) = (e10))))/\(((~((op1 (e12) (e11)) = (e12)))\/(~((op1 (e12) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13))))))))) -> (((op2 (e20) (e21)) = (e20))\/(((op2 (e20) (e21)) = (e21))\/(((op2 (e20) (e21)) = (e22))\/((op2 (e20) (e21)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> ((op2 (e22) (e21)) = (e22)) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> ((e20) = (op2 (e21) (e21))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> (((op1 (e10) (e12)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e12)) = (e12))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> ((op2 (e20) (e21)) = (e21)) -> (~((op2 (e21) (e20)) = (op2 (e21) (e23)))) -> ((op2 (e21) (e20)) = (e21)) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e12)) = (e11))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((e12) = (e13))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e11)) = (e12))\/((op1 (e10) (e11)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e12))\/((op1 (e11) (e10)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> ((op1 (e11) (op1 (e11) (e12))) = (e12)) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> ((op1 (e11) (op1 (e11) (e10))) = (e10)) -> (~((h2 (op1 (e12) (e13))) = (op2 (h2 (e12)) (h2 (e13))))) -> ((h2 (e11)) = (e21)) -> ((e23) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((h2 (e13)) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((e22) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> ((h2 (e12)) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> ((op1 (e11) (op1 (e11) (e13))) = (e13)) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> ((e10) = (op1 (e11) (e11))) -> ((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) -> ((e12) = (op1 (op1 (op1 (e11) (e11)) (op1 (e11) (e11))) (op1 (e11) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e11) (e11)) = (e11))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> ((op1 (e11) (op1 (e11) (e11))) = (e11)) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op2 (e23) (e23)) = (e21))) -> (((op2 (e20) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> False).
% 55.08/55.28 do 0 intro. intros zenon_H197 zenon_H289 zenon_H93 zenon_Hd3 zenon_H286 zenon_H33 zenon_H8d zenon_H510 zenon_H3c2 zenon_Hb9 zenon_Hca zenon_H4e zenon_H1a0 zenon_H1e zenon_H1fa zenon_H1de zenon_H23f zenon_H1da zenon_H1ed zenon_H209 zenon_H15a zenon_H2ad zenon_H236 zenon_H186 zenon_H179 zenon_H206 zenon_H17 zenon_H204 zenon_H1e8 zenon_H15f zenon_H1a9 zenon_H14b zenon_H2c2 zenon_H375 zenon_H30e zenon_H23b zenon_H2b9 zenon_H1cc zenon_H32b zenon_H301 zenon_H2f8 zenon_H172 zenon_H1fd zenon_H18a zenon_H360 zenon_H316 zenon_H2e6 zenon_H292 zenon_H505 zenon_H270 zenon_H3b zenon_H461 zenon_H3f zenon_H44f zenon_H2c0 zenon_H29e zenon_H322 zenon_H25 zenon_H2e7 zenon_H1f7 zenon_H19d zenon_H180 zenon_H32e zenon_H21a zenon_H358 zenon_H13 zenon_H15 zenon_H155 zenon_H154 zenon_H473 zenon_H2a3 zenon_H2a5 zenon_H2a6 zenon_H2b1 zenon_H1be zenon_H1d8 zenon_H474 zenon_H1b1 zenon_H313 zenon_H383 zenon_H3e4.
% 55.08/55.28 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_H18f. zenon_intro zenon_H198.
% 55.08/55.28 apply (zenon_and_s _ _ zenon_H198). zenon_intro zenon_H293. zenon_intro zenon_H227.
% 55.08/55.28 apply (zenon_and_s _ _ zenon_H227). zenon_intro zenon_H229. zenon_intro zenon_H228.
% 55.08/55.28 apply (zenon_and_s _ _ zenon_H228). zenon_intro zenon_H22b. zenon_intro zenon_H22a.
% 55.08/55.28 apply (zenon_and_s _ _ zenon_H22a). zenon_intro zenon_H224. zenon_intro zenon_H22c.
% 55.08/55.28 apply (zenon_or_s _ _ zenon_H229); [ zenon_intro zenon_H21f | zenon_intro zenon_H1db ].
% 55.08/55.28 apply (zenon_L897_); trivial.
% 55.08/55.28 apply (zenon_or_s _ _ zenon_H224); [ zenon_intro zenon_H1d1 | zenon_intro zenon_H1d1 ].
% 55.08/55.28 apply (zenon_L940_); trivial.
% 55.08/55.28 apply (zenon_L940_); trivial.
% 55.08/55.28 (* end of lemma zenon_L941_ *)
% 55.08/55.28 assert (zenon_L942_ : (~((h2 (op1 (e13) (e10))) = (op2 (h2 (e13)) (h2 (e10))))) -> ((h2 (e12)) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> ((op1 (e13) (e10)) = (e12)) -> ((h2 (e10)) = (op2 (e21) (e21))) -> ((h2 (e13)) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> False).
% 55.08/55.29 do 0 intro. intros zenon_H51a zenon_H44f zenon_H16b zenon_H26c zenon_H461.
% 55.08/55.29 cut (((h2 (e12)) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) = ((h2 (op1 (e13) (e10))) = (op2 (h2 (e13)) (h2 (e10))))).
% 55.08/55.29 intro zenon_D_pnotp.
% 55.08/55.29 apply zenon_H51a.
% 55.08/55.29 rewrite <- zenon_D_pnotp.
% 55.08/55.29 exact zenon_H44f.
% 55.08/55.29 cut (((op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21))) = (op2 (h2 (e13)) (h2 (e10))))); [idtac | apply NNPP; zenon_intro zenon_H51b].
% 55.08/55.29 cut (((h2 (e12)) = (h2 (op1 (e13) (e10))))); [idtac | apply NNPP; zenon_intro zenon_H51c].
% 55.08/55.29 congruence.
% 55.08/55.29 elim (classic ((h2 (op1 (e13) (e10))) = (h2 (op1 (e13) (e10))))); [ zenon_intro zenon_H51d | zenon_intro zenon_H51e ].
% 55.08/55.29 cut (((h2 (op1 (e13) (e10))) = (h2 (op1 (e13) (e10)))) = ((h2 (e12)) = (h2 (op1 (e13) (e10))))).
% 55.08/55.29 intro zenon_D_pnotp.
% 55.08/55.29 apply zenon_H51c.
% 55.08/55.29 rewrite <- zenon_D_pnotp.
% 55.08/55.29 exact zenon_H51d.
% 55.08/55.29 cut (((h2 (op1 (e13) (e10))) = (h2 (op1 (e13) (e10))))); [idtac | apply NNPP; zenon_intro zenon_H51e].
% 55.08/55.29 cut (((h2 (op1 (e13) (e10))) = (h2 (e12)))); [idtac | apply NNPP; zenon_intro zenon_H51f].
% 55.08/55.29 congruence.
% 55.08/55.29 cut (((op1 (e13) (e10)) = (e12))); [idtac | apply NNPP; zenon_intro zenon_H170].
% 55.08/55.29 congruence.
% 55.08/55.29 exact (zenon_H170 zenon_H16b).
% 55.08/55.29 apply zenon_H51e. apply refl_equal.
% 55.08/55.29 apply zenon_H51e. apply refl_equal.
% 55.08/55.29 cut (((op2 (e21) (e21)) = (h2 (e10)))); [idtac | apply NNPP; zenon_intro zenon_H520].
% 55.08/55.29 cut (((op2 (op2 (e21) (e21)) (op2 (e21) (e21))) = (h2 (e13)))); [idtac | apply NNPP; zenon_intro zenon_H521].
% 55.08/55.29 congruence.
% 55.08/55.29 apply zenon_H521. apply sym_equal. exact zenon_H461.
% 55.08/55.29 apply zenon_H520. apply sym_equal. exact zenon_H26c.
% 55.08/55.29 (* end of lemma zenon_L942_ *)
% 55.08/55.29 assert (zenon_L943_ : (~((h2 (op1 (e13) (e11))) = (op2 (h2 (e13)) (h2 (e11))))) -> ((op1 (e13) (e11)) = (e13)) -> ((op2 (e23) (e21)) = (e23)) -> ((h2 (e13)) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((e23) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((h2 (e11)) = (e21)) -> False).
% 55.08/55.29 do 0 intro. intros zenon_H522 zenon_H1c3 zenon_He8 zenon_H461 zenon_H3b zenon_H270.
% 55.08/55.29 cut (((h2 (e13)) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) = ((h2 (op1 (e13) (e11))) = (op2 (h2 (e13)) (h2 (e11))))).
% 55.08/55.29 intro zenon_D_pnotp.
% 55.08/55.29 apply zenon_H522.
% 55.08/55.29 rewrite <- zenon_D_pnotp.
% 55.08/55.29 exact zenon_H461.
% 55.08/55.29 cut (((op2 (op2 (e21) (e21)) (op2 (e21) (e21))) = (op2 (h2 (e13)) (h2 (e11))))); [idtac | apply NNPP; zenon_intro zenon_H523].
% 55.08/55.29 cut (((h2 (e13)) = (h2 (op1 (e13) (e11))))); [idtac | apply NNPP; zenon_intro zenon_H524].
% 55.08/55.29 congruence.
% 55.08/55.29 elim (classic ((h2 (op1 (e13) (e11))) = (h2 (op1 (e13) (e11))))); [ zenon_intro zenon_H525 | zenon_intro zenon_H526 ].
% 55.08/55.29 cut (((h2 (op1 (e13) (e11))) = (h2 (op1 (e13) (e11)))) = ((h2 (e13)) = (h2 (op1 (e13) (e11))))).
% 55.08/55.29 intro zenon_D_pnotp.
% 55.08/55.29 apply zenon_H524.
% 55.08/55.29 rewrite <- zenon_D_pnotp.
% 55.08/55.29 exact zenon_H525.
% 55.08/55.29 cut (((h2 (op1 (e13) (e11))) = (h2 (op1 (e13) (e11))))); [idtac | apply NNPP; zenon_intro zenon_H526].
% 55.08/55.29 cut (((h2 (op1 (e13) (e11))) = (h2 (e13)))); [idtac | apply NNPP; zenon_intro zenon_H527].
% 55.08/55.29 congruence.
% 55.08/55.29 cut (((op1 (e13) (e11)) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H1bf].
% 55.08/55.29 congruence.
% 55.08/55.29 exact (zenon_H1bf zenon_H1c3).
% 55.08/55.29 apply zenon_H526. apply refl_equal.
% 55.08/55.29 apply zenon_H526. apply refl_equal.
% 55.08/55.29 elim (classic ((op2 (h2 (e13)) (h2 (e11))) = (op2 (h2 (e13)) (h2 (e11))))); [ zenon_intro zenon_H528 | zenon_intro zenon_H529 ].
% 55.08/55.29 cut (((op2 (h2 (e13)) (h2 (e11))) = (op2 (h2 (e13)) (h2 (e11)))) = ((op2 (op2 (e21) (e21)) (op2 (e21) (e21))) = (op2 (h2 (e13)) (h2 (e11))))).
% 55.08/55.29 intro zenon_D_pnotp.
% 55.08/55.29 apply zenon_H523.
% 55.08/55.29 rewrite <- zenon_D_pnotp.
% 55.08/55.29 exact zenon_H528.
% 55.08/55.29 cut (((op2 (h2 (e13)) (h2 (e11))) = (op2 (h2 (e13)) (h2 (e11))))); [idtac | apply NNPP; zenon_intro zenon_H529].
% 55.08/55.29 cut (((op2 (h2 (e13)) (h2 (e11))) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21))))); [idtac | apply NNPP; zenon_intro zenon_H52a].
% 55.08/55.29 congruence.
% 55.08/55.29 cut (((op2 (e23) (e21)) = (e23)) = ((op2 (h2 (e13)) (h2 (e11))) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21))))).
% 55.08/55.29 intro zenon_D_pnotp.
% 55.08/55.29 apply zenon_H52a.
% 55.08/55.29 rewrite <- zenon_D_pnotp.
% 55.08/55.29 exact zenon_He8.
% 55.08/55.29 cut (((e23) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21))))); [idtac | apply NNPP; zenon_intro zenon_H4ba].
% 55.08/55.29 cut (((op2 (e23) (e21)) = (op2 (h2 (e13)) (h2 (e11))))); [idtac | apply NNPP; zenon_intro zenon_H52b].
% 55.08/55.29 congruence.
% 55.08/55.29 elim (classic ((op2 (h2 (e13)) (h2 (e11))) = (op2 (h2 (e13)) (h2 (e11))))); [ zenon_intro zenon_H528 | zenon_intro zenon_H529 ].
% 55.08/55.29 cut (((op2 (h2 (e13)) (h2 (e11))) = (op2 (h2 (e13)) (h2 (e11)))) = ((op2 (e23) (e21)) = (op2 (h2 (e13)) (h2 (e11))))).
% 55.08/55.29 intro zenon_D_pnotp.
% 55.08/55.29 apply zenon_H52b.
% 55.08/55.29 rewrite <- zenon_D_pnotp.
% 55.08/55.29 exact zenon_H528.
% 55.08/55.29 cut (((op2 (h2 (e13)) (h2 (e11))) = (op2 (h2 (e13)) (h2 (e11))))); [idtac | apply NNPP; zenon_intro zenon_H529].
% 55.08/55.29 cut (((op2 (h2 (e13)) (h2 (e11))) = (op2 (e23) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H52c].
% 55.08/55.29 congruence.
% 55.08/55.29 cut (((h2 (e11)) = (e21))); [idtac | apply NNPP; zenon_intro zenon_H27c].
% 55.08/55.29 cut (((h2 (e13)) = (e23))); [idtac | apply NNPP; zenon_intro zenon_H460].
% 55.08/55.29 congruence.
% 55.08/55.29 apply (zenon_L492_); trivial.
% 55.08/55.29 exact (zenon_H27c zenon_H270).
% 55.08/55.29 apply zenon_H529. apply refl_equal.
% 55.08/55.29 apply zenon_H529. apply refl_equal.
% 55.08/55.29 exact (zenon_H4ba zenon_H3b).
% 55.08/55.29 apply zenon_H529. apply refl_equal.
% 55.08/55.29 apply zenon_H529. apply refl_equal.
% 55.08/55.29 (* end of lemma zenon_L943_ *)
% 55.08/55.29 assert (zenon_L944_ : (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((e12) = (e13))) -> ((op1 (e12) (e11)) = (e12)) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> ((e12) = (op1 (op1 (op1 (e11) (e11)) (op1 (e11) (e11))) (op1 (e11) (e11)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e12) (e12)) = (e12))) -> (~((op1 (e12) (e13)) = (e12))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e11) (op1 (e11) (e13))) = (e13)) -> (~((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)) = (e13)) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((h2 (op1 (e13) (e11))) = (op2 (h2 (e13)) (h2 (e11))))) -> ((op2 (e23) (e21)) = (e23)) -> ((h2 (e13)) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((e23) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((h2 (e11)) = (e21)) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> ((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) -> ((op1 (e11) (e11)) = (e13)) -> ((e10) = (op1 (e11) (e11))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> False).
% 55.08/55.29 do 0 intro. intros zenon_H2e7 zenon_H2ad zenon_H236 zenon_H202 zenon_H17 zenon_H23b zenon_H21a zenon_H180 zenon_H155 zenon_H179 zenon_H172 zenon_H204 zenon_H186 zenon_H1d1 zenon_H27d zenon_H316 zenon_H301 zenon_H18a zenon_H1fd zenon_H2f8 zenon_H1cc zenon_H360 zenon_H29e zenon_H19d zenon_H206 zenon_H1a3 zenon_H1d8 zenon_H522 zenon_He8 zenon_H461 zenon_H3b zenon_H270 zenon_H1b1 zenon_H1be zenon_H15 zenon_H2b7 zenon_H13 zenon_H2b9.
% 55.08/55.29 apply (zenon_or_s _ _ zenon_H2e7); [ zenon_intro zenon_H2ac | zenon_intro zenon_H2e8 ].
% 55.08/55.29 apply (zenon_L154_); trivial.
% 55.08/55.29 apply (zenon_or_s _ _ zenon_H2e8); [ zenon_intro zenon_H2e3 | zenon_intro zenon_H2e9 ].
% 55.08/55.29 apply (zenon_L482_); trivial.
% 55.08/55.29 apply (zenon_or_s _ _ zenon_H2e9); [ zenon_intro zenon_H1d3 | zenon_intro zenon_H235 ].
% 55.08/55.29 apply (zenon_or_s _ _ zenon_H1be); [ zenon_intro zenon_H1b0 | zenon_intro zenon_H1c1 ].
% 55.08/55.29 apply (zenon_L84_); trivial.
% 55.08/55.29 apply (zenon_or_s _ _ zenon_H1c1); [ zenon_intro zenon_H1c3 | zenon_intro zenon_H1c2 ].
% 55.08/55.29 apply (zenon_L943_); trivial.
% 55.08/55.29 apply (zenon_or_s _ _ zenon_H1c2); [ zenon_intro zenon_H1ba | zenon_intro zenon_H1c4 ].
% 55.08/55.29 apply (zenon_L91_); trivial.
% 55.08/55.29 apply (zenon_L487_); trivial.
% 55.08/55.29 apply (zenon_L163_); trivial.
% 55.08/55.29 (* end of lemma zenon_L944_ *)
% 55.08/55.29 assert (zenon_L945_ : (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((e12) = (e13))) -> ((op1 (e12) (e11)) = (e12)) -> (~((op1 (e12) (e12)) = (e13))) -> ((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) -> ((op1 (e11) (e11)) = (e13)) -> ((e10) = (op1 (e11) (e11))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> False).
% 55.08/55.29 do 0 intro. intros zenon_H2e7 zenon_H2ad zenon_H236 zenon_H202 zenon_H29d zenon_H15 zenon_H2b7 zenon_H13 zenon_H2b9.
% 55.08/55.29 apply (zenon_or_s _ _ zenon_H2e7); [ zenon_intro zenon_H2ac | zenon_intro zenon_H2e8 ].
% 55.08/55.29 apply (zenon_L154_); trivial.
% 55.08/55.29 apply (zenon_or_s _ _ zenon_H2e8); [ zenon_intro zenon_H2e3 | zenon_intro zenon_H2e9 ].
% 55.08/55.29 apply (zenon_L482_); trivial.
% 55.08/55.29 apply (zenon_or_s _ _ zenon_H2e9); [ zenon_intro zenon_H1d3 | zenon_intro zenon_H235 ].
% 55.08/55.29 exact (zenon_H29d zenon_H1d3).
% 55.08/55.29 apply (zenon_L163_); trivial.
% 55.08/55.29 (* end of lemma zenon_L945_ *)
% 55.08/55.29 assert (zenon_L946_ : ((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((e12) = (e13))) -> ((op1 (e12) (e11)) = (e12)) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> ((e12) = (op1 (op1 (op1 (e11) (e11)) (op1 (e11) (e11))) (op1 (e11) (e11)))) -> ((op1 (e11) (op1 (e11) (e13))) = (e13)) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e12) (e12)) = (e12))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e11)) = (e12))\/((op1 (e10) (e11)) = (e13))))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> ((op2 (e23) (e21)) = (e23)) -> ((h2 (e13)) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((e23) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((h2 (e11)) = (e21)) -> (~((h2 (op1 (e13) (e11))) = (op2 (h2 (e13)) (h2 (e11))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> ((e10) = (op1 (e11) (e11))) -> ((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> False).
% 55.08/55.29 do 0 intro. intros zenon_H22c zenon_H313 zenon_H2ad zenon_H236 zenon_H202 zenon_H1be zenon_H19d zenon_H316 zenon_H360 zenon_H1cc zenon_H18a zenon_H1fd zenon_H172 zenon_H155 zenon_H29e zenon_H2f8 zenon_H301 zenon_H23b zenon_H1d1 zenon_H204 zenon_H179 zenon_H180 zenon_H186 zenon_H21a zenon_H206 zenon_H1d8 zenon_He8 zenon_H461 zenon_H3b zenon_H270 zenon_H522 zenon_H1b1 zenon_H2b9 zenon_H2e7 zenon_H13 zenon_H15 zenon_H17 zenon_H1e zenon_H25 zenon_H1a0.
% 55.08/55.29 apply (zenon_or_s _ _ zenon_H22c); [ zenon_intro zenon_H27d | zenon_intro zenon_H29d ].
% 55.08/55.29 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_H1a3 | zenon_intro zenon_H1a2 ].
% 55.08/55.29 apply (zenon_or_s _ _ zenon_H313); [ zenon_intro zenon_H16 | zenon_intro zenon_H314 ].
% 55.08/55.29 apply (zenon_L2_); trivial.
% 55.08/55.29 apply (zenon_or_s _ _ zenon_H314); [ zenon_intro zenon_H2b7 | zenon_intro zenon_H315 ].
% 55.08/55.29 apply (zenon_L944_); trivial.
% 55.08/55.29 apply (zenon_or_s _ _ zenon_H315); [ zenon_intro zenon_H2e3 | zenon_intro zenon_H1c3 ].
% 55.08/55.29 apply (zenon_L482_); trivial.
% 55.08/55.29 apply (zenon_L943_); trivial.
% 55.08/55.29 apply (zenon_or_s _ _ zenon_H1a2); [ zenon_intro zenon_H16 | zenon_intro zenon_H1a4 ].
% 55.08/55.29 apply (zenon_L2_); trivial.
% 55.08/55.29 apply (zenon_or_s _ _ zenon_H1a4); [ zenon_intro zenon_H1d | zenon_intro zenon_H24 ].
% 55.08/55.29 apply (zenon_L3_); trivial.
% 55.08/55.29 apply (zenon_L4_); trivial.
% 55.08/55.29 apply (zenon_or_s _ _ zenon_H313); [ zenon_intro zenon_H16 | zenon_intro zenon_H314 ].
% 55.08/55.29 apply (zenon_L2_); trivial.
% 55.08/55.29 apply (zenon_or_s _ _ zenon_H314); [ zenon_intro zenon_H2b7 | zenon_intro zenon_H315 ].
% 55.08/55.29 apply (zenon_L945_); trivial.
% 55.08/55.29 apply (zenon_or_s _ _ zenon_H315); [ zenon_intro zenon_H2e3 | zenon_intro zenon_H1c3 ].
% 55.08/55.29 apply (zenon_L482_); trivial.
% 55.08/55.29 apply (zenon_L943_); trivial.
% 55.08/55.29 (* end of lemma zenon_L946_ *)
% 55.08/55.29 assert (zenon_L947_ : (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> ((h2 (e11)) = (e21)) -> ((e23) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((h2 (e13)) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((op2 (e23) (e21)) = (e23)) -> (~((h2 (op1 (e13) (e11))) = (op2 (h2 (e13)) (h2 (e11))))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e10) (e10)) = (e13)) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> ((e12) = (op1 (op1 (op1 (e11) (e11)) (op1 (e11) (e11))) (op1 (e11) (e11)))) -> ((e10) = (op1 (e11) (e11))) -> ((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> ((op1 (e10) (e11)) = (e11)) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> ((op1 (e12) (e12)) = (e13)) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e11) (op1 (e11) (e13))) = (e13)) -> False).
% 55.08/55.29 do 0 intro. intros zenon_H1be zenon_H1b1 zenon_H270 zenon_H3b zenon_H461 zenon_He8 zenon_H522 zenon_H1d8 zenon_H1a3 zenon_H316 zenon_H301 zenon_H18a zenon_H155 zenon_H13 zenon_H15 zenon_H172 zenon_H1fd zenon_H1fe zenon_H2f8 zenon_H1d3 zenon_H1cc zenon_H360 zenon_H29e.
% 55.08/55.29 apply (zenon_or_s _ _ zenon_H1be); [ zenon_intro zenon_H1b0 | zenon_intro zenon_H1c1 ].
% 55.08/55.29 apply (zenon_L84_); trivial.
% 55.08/55.29 apply (zenon_or_s _ _ zenon_H1c1); [ zenon_intro zenon_H1c3 | zenon_intro zenon_H1c2 ].
% 55.08/55.29 apply (zenon_L943_); trivial.
% 55.08/55.29 apply (zenon_or_s _ _ zenon_H1c2); [ zenon_intro zenon_H1ba | zenon_intro zenon_H1c4 ].
% 55.08/55.29 apply (zenon_L91_); trivial.
% 55.08/55.29 apply (zenon_L485_); trivial.
% 55.08/55.29 (* end of lemma zenon_L947_ *)
% 55.08/55.29 assert (zenon_L948_ : (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((e12) = (e13))) -> ((op1 (e12) (e11)) = (e12)) -> ((op1 (e11) (op1 (e11) (e13))) = (e13)) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> ((op1 (e10) (e11)) = (e11)) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> ((e12) = (op1 (op1 (op1 (e11) (e11)) (op1 (e11) (e11))) (op1 (e11) (e11)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> ((op1 (e10) (e10)) = (e13)) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((h2 (op1 (e13) (e11))) = (op2 (h2 (e13)) (h2 (e11))))) -> ((op2 (e23) (e21)) = (e23)) -> ((h2 (e13)) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((e23) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((h2 (e11)) = (e21)) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> ((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) -> ((op1 (e11) (e11)) = (e13)) -> ((e10) = (op1 (e11) (e11))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> False).
% 55.08/55.29 do 0 intro. intros zenon_H2e7 zenon_H2ad zenon_H236 zenon_H202 zenon_H29e zenon_H360 zenon_H1cc zenon_H2f8 zenon_H1fe zenon_H1fd zenon_H172 zenon_H155 zenon_H18a zenon_H301 zenon_H316 zenon_H1a3 zenon_H1d8 zenon_H522 zenon_He8 zenon_H461 zenon_H3b zenon_H270 zenon_H1b1 zenon_H1be zenon_H15 zenon_H2b7 zenon_H13 zenon_H2b9.
% 55.08/55.29 apply (zenon_or_s _ _ zenon_H2e7); [ zenon_intro zenon_H2ac | zenon_intro zenon_H2e8 ].
% 55.08/55.29 apply (zenon_L154_); trivial.
% 55.08/55.29 apply (zenon_or_s _ _ zenon_H2e8); [ zenon_intro zenon_H2e3 | zenon_intro zenon_H2e9 ].
% 55.08/55.29 apply (zenon_L482_); trivial.
% 55.08/55.29 apply (zenon_or_s _ _ zenon_H2e9); [ zenon_intro zenon_H1d3 | zenon_intro zenon_H235 ].
% 55.08/55.29 apply (zenon_L947_); trivial.
% 55.08/55.29 apply (zenon_L163_); trivial.
% 55.08/55.29 (* end of lemma zenon_L948_ *)
% 55.08/55.29 assert (zenon_L949_ : (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> ((e10) = (op1 (e11) (e11))) -> ((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e10) (e10)) = (e13)) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> ((e12) = (op1 (op1 (op1 (e11) (e11)) (op1 (e11) (e11))) (op1 (e11) (e11)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> ((op1 (e10) (e11)) = (e11)) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e11) (op1 (e11) (e13))) = (e13)) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((e12) = (e13))) -> ((op1 (e12) (e11)) = (e12)) -> (~((h2 (op1 (e13) (e11))) = (op2 (h2 (e13)) (h2 (e11))))) -> ((op2 (e23) (e21)) = (e23)) -> ((h2 (e13)) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((e23) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((h2 (e11)) = (e21)) -> False).
% 55.08/55.29 do 0 intro. intros zenon_H313 zenon_H17 zenon_H2b9 zenon_H13 zenon_H15 zenon_H1be zenon_H1b1 zenon_H1d8 zenon_H1a3 zenon_H316 zenon_H301 zenon_H18a zenon_H155 zenon_H172 zenon_H1fd zenon_H1fe zenon_H2f8 zenon_H1cc zenon_H360 zenon_H29e zenon_H2ad zenon_H2e7 zenon_H236 zenon_H202 zenon_H522 zenon_He8 zenon_H461 zenon_H3b zenon_H270.
% 55.08/55.29 apply (zenon_or_s _ _ zenon_H313); [ zenon_intro zenon_H16 | zenon_intro zenon_H314 ].
% 55.08/55.29 apply (zenon_L2_); trivial.
% 55.08/55.29 apply (zenon_or_s _ _ zenon_H314); [ zenon_intro zenon_H2b7 | zenon_intro zenon_H315 ].
% 55.08/55.29 apply (zenon_L948_); trivial.
% 55.08/55.29 apply (zenon_or_s _ _ zenon_H315); [ zenon_intro zenon_H2e3 | zenon_intro zenon_H1c3 ].
% 55.08/55.29 apply (zenon_L482_); trivial.
% 55.08/55.29 apply (zenon_L943_); trivial.
% 55.08/55.29 (* end of lemma zenon_L949_ *)
% 55.08/55.29 assert (zenon_L950_ : (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> ((h2 (e11)) = (e21)) -> ((e23) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((h2 (e13)) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((op2 (e23) (e21)) = (e23)) -> (~((h2 (op1 (e13) (e11))) = (op2 (h2 (e13)) (h2 (e11))))) -> ((op1 (e12) (e11)) = (e12)) -> (~((e12) = (e13))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> ((op1 (e11) (op1 (e11) (e13))) = (e13)) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> ((op1 (e10) (e11)) = (e11)) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> ((e12) = (op1 (op1 (op1 (e11) (e11)) (op1 (e11) (e11))) (op1 (e11) (e11)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> ((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) -> ((e10) = (op1 (e11) (e11))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> False).
% 55.08/55.29 do 0 intro. intros zenon_H1a0 zenon_H270 zenon_H3b zenon_H461 zenon_He8 zenon_H522 zenon_H202 zenon_H236 zenon_H2e7 zenon_H2ad zenon_H29e zenon_H360 zenon_H1cc zenon_H2f8 zenon_H1fe zenon_H1fd zenon_H172 zenon_H155 zenon_H18a zenon_H301 zenon_H316 zenon_H1d8 zenon_H1b1 zenon_H1be zenon_H2b9 zenon_H313 zenon_H17 zenon_H1e zenon_H15 zenon_H13 zenon_H25.
% 55.08/55.29 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_H1a3 | zenon_intro zenon_H1a2 ].
% 55.08/55.29 apply (zenon_L949_); trivial.
% 55.08/55.29 apply (zenon_or_s _ _ zenon_H1a2); [ zenon_intro zenon_H16 | zenon_intro zenon_H1a4 ].
% 55.08/55.29 apply (zenon_L2_); trivial.
% 55.08/55.29 apply (zenon_or_s _ _ zenon_H1a4); [ zenon_intro zenon_H1d | zenon_intro zenon_H24 ].
% 55.08/55.29 apply (zenon_L3_); trivial.
% 55.08/55.29 apply (zenon_L4_); trivial.
% 55.08/55.29 (* end of lemma zenon_L950_ *)
% 55.08/55.29 assert (zenon_L951_ : ((((op1 (e10) (e10)) = (e10))/\(((op1 (e10) (e10)) = (e10))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11))))/\(((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12))))/\((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))))))))\/((((op1 (e10) (e11)) = (e10))/\(((op1 (e11) (e10)) = (e10))/\(((~((op1 (e11) (e10)) = (e11)))\/(~((op1 (e11) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e11) (e12)) = (e11)))\/(~((op1 (e11) (e11)) = (e12))))/\((~((op1 (e11) (e13)) = (e11)))\/(~((op1 (e11) (e11)) = (e13)))))))))\/((((op1 (e10) (e12)) = (e10))/\(((op1 (e12) (e10)) = (e10))/\(((~((op1 (e12) (e10)) = (e12)))\/(~((op1 (e12) (e12)) = (e10))))/\(((~((op1 (e12) (e11)) = (e12)))\/(~((op1 (e12) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13)))))))))\/((((op1 (e10) (e13)) = (e10))/\(((op1 (e13) (e10)) = (e10))/\(((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e13) (e13)) = (e10))))/\(((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11))))/\(((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e13) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13)))))))))\/((((op1 (e11) (e10)) = (e11))/\(((op1 (e10) (e11)) = (e11))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11))))/\(((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12))))/\((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))))))))\/((((op1 (e11) (e11)) = (e11))/\(((op1 (e11) (e11)) = (e11))/\(((~((op1 (e11) (e10)) = (e11)))\/(~((op1 (e11) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e11) (e12)) = (e11)))\/(~((op1 (e11) (e11)) = (e12))))/\((~((op1 (e11) (e13)) = (e11)))\/(~((op1 (e11) (e11)) = (e13)))))))))\/((((op1 (e11) (e12)) = (e11))/\(((op1 (e12) (e11)) = (e11))/\(((~((op1 (e12) (e10)) = (e12)))\/(~((op1 (e12) (e12)) = (e10))))/\(((~((op1 (e12) (e11)) = (e12)))\/(~((op1 (e12) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13)))))))))\/((((op1 (e11) (e13)) = (e11))/\(((op1 (e13) (e11)) = (e11))/\(((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e13) (e13)) = (e10))))/\(((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11))))/\(((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e13) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13)))))))))\/((((op1 (e12) (e10)) = (e12))/\(((op1 (e10) (e12)) = (e12))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11))))/\(((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12))))/\((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))))))))\/((((op1 (e12) (e11)) = (e12))/\(((op1 (e11) (e12)) = (e12))/\(((~((op1 (e11) (e10)) = (e11)))\/(~((op1 (e11) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e11) (e12)) = (e11)))\/(~((op1 (e11) (e11)) = (e12))))/\((~((op1 (e11) (e13)) = (e11)))\/(~((op1 (e11) (e11)) = (e13)))))))))\/((((op1 (e12) (e12)) = (e12))/\(((op1 (e12) (e12)) = (e12))/\(((~((op1 (e12) (e10)) = (e12)))\/(~((op1 (e12) (e12)) = (e10))))/\(((~((op1 (e12) (e11)) = (e12)))\/(~((op1 (e12) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13)))))))))\/((((op1 (e12) (e13)) = (e12))/\(((op1 (e13) (e12)) = (e12))/\(((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e13) (e13)) = (e10))))/\(((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11))))/\(((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e13) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13)))))))))\/((((op1 (e13) (e10)) = (e13))/\(((op1 (e10) (e13)) = (e13))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11))))/\(((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12))))/\((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))))))))\/((((op1 (e13) (e11)) = (e13))/\(((op1 (e11) (e13)) = (e13))/\(((~((op1 (e11) (e10)) = (e11)))\/(~((op1 (e11) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e11) (e12)) = (e11)))\/(~((op1 (e11) (e11)) = (e12))))/\((~((op1 (e11) (e13)) = (e11)))\/(~((op1 (e11) (e11)) = (e13)))))))))\/((((op1 (e13) (e12)) = (e13))/\(((op1 (e12) (e13)) = (e13))/\(((~((op1 (e12) (e10)) = (e12)))\/(~((op1 (e12) (e12)) = (e10))))/\(((~((op1 (e12) (e11)) = (e12)))\/(~((op1 (e12) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13)))))))))\/(((op1 (e13) (e13)) = (e13))/\(((op1 (e13) (e13)) = (e13))/\(((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e13) (e13)) = (e10))))/\(((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11))))/\(((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e13) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13)))))))))))))))))))))))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((e10) = (e12))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((e12) = (e13))) -> (~((h2 (op1 (e13) (e11))) = (op2 (h2 (e13)) (h2 (e11))))) -> ((op2 (e23) (e21)) = (e23)) -> ((h2 (e13)) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((e23) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((h2 (e11)) = (e21)) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e11)) = (e12))\/((op1 (e10) (e11)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> ((op1 (e12) (e11)) = (e12)) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e12))\/((op1 (e11) (e10)) = (e13))))) -> ((e12) = (op1 (op1 (op1 (e11) (e11)) (op1 (e11) (e11))) (op1 (e11) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> ((op1 (e11) (op1 (e11) (e13))) = (e13)) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> ((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) -> ((e10) = (op1 (e11) (e11))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> False).
% 55.08/55.29 do 0 intro. intros zenon_H245 zenon_H23b zenon_H16c zenon_H1e zenon_H313 zenon_H1be zenon_H1b1 zenon_H1d8 zenon_H316 zenon_H301 zenon_H18a zenon_H2f8 zenon_H1cc zenon_H360 zenon_H2ad zenon_H2e7 zenon_H236 zenon_H522 zenon_He8 zenon_H461 zenon_H3b zenon_H270 zenon_H1a0 zenon_H1a9 zenon_H180 zenon_H172 zenon_H206 zenon_H19d zenon_H1fd zenon_H202 zenon_H204 zenon_H17 zenon_H186 zenon_H21a zenon_H179 zenon_H25 zenon_H15f zenon_H155 zenon_H154 zenon_H14b zenon_H29e zenon_H2c0 zenon_H1f4 zenon_H15 zenon_H13 zenon_H2b9 zenon_H15a zenon_H2c2.
% 55.08/55.29 apply (zenon_or_s _ _ zenon_H245); [ zenon_intro zenon_H147 | zenon_intro zenon_H254 ].
% 55.08/55.29 apply (zenon_L60_); trivial.
% 55.08/55.29 apply (zenon_or_s _ _ zenon_H254); [ zenon_intro zenon_H164 | zenon_intro zenon_H255 ].
% 55.08/55.29 apply (zenon_L66_); trivial.
% 55.08/55.29 apply (zenon_or_s _ _ zenon_H255); [ zenon_intro zenon_H197 | zenon_intro zenon_H256 ].
% 55.08/55.29 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_H18f. zenon_intro zenon_H198.
% 55.08/55.29 apply (zenon_and_s _ _ zenon_H198). zenon_intro zenon_H293. zenon_intro zenon_H227.
% 55.08/55.29 apply (zenon_and_s _ _ zenon_H227). zenon_intro zenon_H229. zenon_intro zenon_H228.
% 55.08/55.29 apply (zenon_and_s _ _ zenon_H228). zenon_intro zenon_H22b. zenon_intro zenon_H22a.
% 55.08/55.29 apply (zenon_and_s _ _ zenon_H22a). zenon_intro zenon_H224. zenon_intro zenon_H22c.
% 55.08/55.29 apply (zenon_or_s _ _ zenon_H224); [ zenon_intro zenon_H1d1 | zenon_intro zenon_H1d1 ].
% 55.08/55.29 apply (zenon_L946_); trivial.
% 55.08/55.29 apply (zenon_L946_); trivial.
% 55.08/55.29 apply (zenon_or_s _ _ zenon_H256); [ zenon_intro zenon_H199 | zenon_intro zenon_H257 ].
% 55.08/55.29 apply (zenon_L77_); trivial.
% 55.08/55.29 apply (zenon_or_s _ _ zenon_H257); [ zenon_intro zenon_H259 | zenon_intro zenon_H258 ].
% 55.08/55.29 apply (zenon_and_s _ _ zenon_H259). zenon_intro zenon_H163. zenon_intro zenon_H25a.
% 55.08/55.29 apply (zenon_and_s _ _ zenon_H25a). zenon_intro zenon_H1fe. zenon_intro zenon_H149.
% 55.08/55.29 apply (zenon_L950_); trivial.
% 55.08/55.29 apply (zenon_or_s _ _ zenon_H258); [ zenon_intro zenon_H1a5 | zenon_intro zenon_H262 ].
% 55.08/55.29 apply (zenon_L80_); trivial.
% 55.08/55.29 apply (zenon_or_s _ _ zenon_H262); [ zenon_intro zenon_H1ae | zenon_intro zenon_H263 ].
% 55.08/55.29 apply (zenon_L83_); trivial.
% 55.08/55.29 apply (zenon_or_s _ _ zenon_H263); [ zenon_intro zenon_H212 | zenon_intro zenon_H264 ].
% 55.08/55.29 apply (zenon_L169_); trivial.
% 55.08/55.29 apply (zenon_or_s _ _ zenon_H264); [ zenon_intro zenon_H220 | zenon_intro zenon_H265 ].
% 55.08/55.29 apply (zenon_L110_); trivial.
% 55.08/55.29 apply (zenon_or_s _ _ zenon_H265); [ zenon_intro zenon_H222 | zenon_intro zenon_H266 ].
% 55.08/55.29 apply (zenon_L111_); trivial.
% 55.08/55.29 apply (zenon_or_s _ _ zenon_H266); [ zenon_intro zenon_H225 | zenon_intro zenon_H267 ].
% 55.08/55.29 apply (zenon_L113_); trivial.
% 55.08/55.29 apply (zenon_or_s _ _ zenon_H267); [ zenon_intro zenon_H22d | zenon_intro zenon_H268 ].
% 55.08/55.29 apply (zenon_L114_); trivial.
% 55.08/55.29 apply (zenon_or_s _ _ zenon_H268); [ zenon_intro zenon_H230 | zenon_intro zenon_H269 ].
% 55.08/55.29 apply (zenon_L115_); trivial.
% 55.08/55.29 apply (zenon_or_s _ _ zenon_H269); [ zenon_intro zenon_H232 | zenon_intro zenon_H26a ].
% 55.08/55.29 apply (zenon_L116_); trivial.
% 55.08/55.29 apply (zenon_or_s _ _ zenon_H26a); [ zenon_intro zenon_H240 | zenon_intro zenon_H242 ].
% 55.08/55.29 apply (zenon_L166_); trivial.
% 55.08/55.29 apply (zenon_L125_); trivial.
% 55.08/55.29 (* end of lemma zenon_L951_ *)
% 55.08/55.29 assert (zenon_L952_ : (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> ((e10) = (op1 (e11) (e11))) -> ((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> ((op1 (e11) (op1 (e11) (e13))) = (e13)) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> ((e12) = (op1 (op1 (op1 (e11) (e11)) (op1 (e11) (e11))) (op1 (e11) (e11)))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e12))\/((op1 (e11) (e10)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e11)) = (e12))\/((op1 (e10) (e11)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> ((h2 (e11)) = (e21)) -> ((e23) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((h2 (e13)) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((op2 (e23) (e21)) = (e23)) -> (~((h2 (op1 (e13) (e11))) = (op2 (h2 (e13)) (h2 (e11))))) -> (~((e12) = (e13))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (~((e10) = (e12))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> ((((op1 (e10) (e10)) = (e10))/\(((op1 (e10) (e10)) = (e10))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11))))/\(((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12))))/\((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))))))))\/((((op1 (e10) (e11)) = (e10))/\(((op1 (e11) (e10)) = (e10))/\(((~((op1 (e11) (e10)) = (e11)))\/(~((op1 (e11) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e11) (e12)) = (e11)))\/(~((op1 (e11) (e11)) = (e12))))/\((~((op1 (e11) (e13)) = (e11)))\/(~((op1 (e11) (e11)) = (e13)))))))))\/((((op1 (e10) (e12)) = (e10))/\(((op1 (e12) (e10)) = (e10))/\(((~((op1 (e12) (e10)) = (e12)))\/(~((op1 (e12) (e12)) = (e10))))/\(((~((op1 (e12) (e11)) = (e12)))\/(~((op1 (e12) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13)))))))))\/((((op1 (e10) (e13)) = (e10))/\(((op1 (e13) (e10)) = (e10))/\(((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e13) (e13)) = (e10))))/\(((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11))))/\(((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e13) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13)))))))))\/((((op1 (e11) (e10)) = (e11))/\(((op1 (e10) (e11)) = (e11))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11))))/\(((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12))))/\((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))))))))\/((((op1 (e11) (e11)) = (e11))/\(((op1 (e11) (e11)) = (e11))/\(((~((op1 (e11) (e10)) = (e11)))\/(~((op1 (e11) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e11) (e12)) = (e11)))\/(~((op1 (e11) (e11)) = (e12))))/\((~((op1 (e11) (e13)) = (e11)))\/(~((op1 (e11) (e11)) = (e13)))))))))\/((((op1 (e11) (e12)) = (e11))/\(((op1 (e12) (e11)) = (e11))/\(((~((op1 (e12) (e10)) = (e12)))\/(~((op1 (e12) (e12)) = (e10))))/\(((~((op1 (e12) (e11)) = (e12)))\/(~((op1 (e12) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13)))))))))\/((((op1 (e11) (e13)) = (e11))/\(((op1 (e13) (e11)) = (e11))/\(((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e13) (e13)) = (e10))))/\(((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11))))/\(((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e13) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13)))))))))\/((((op1 (e12) (e10)) = (e12))/\(((op1 (e10) (e12)) = (e12))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11))))/\(((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12))))/\((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))))))))\/((((op1 (e12) (e11)) = (e12))/\(((op1 (e11) (e12)) = (e12))/\(((~((op1 (e11) (e10)) = (e11)))\/(~((op1 (e11) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e11) (e12)) = (e11)))\/(~((op1 (e11) (e11)) = (e12))))/\((~((op1 (e11) (e13)) = (e11)))\/(~((op1 (e11) (e11)) = (e13)))))))))\/((((op1 (e12) (e12)) = (e12))/\(((op1 (e12) (e12)) = (e12))/\(((~((op1 (e12) (e10)) = (e12)))\/(~((op1 (e12) (e12)) = (e10))))/\(((~((op1 (e12) (e11)) = (e12)))\/(~((op1 (e12) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13)))))))))\/((((op1 (e12) (e13)) = (e12))/\(((op1 (e13) (e12)) = (e12))/\(((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e13) (e13)) = (e10))))/\(((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11))))/\(((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e13) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13)))))))))\/((((op1 (e13) (e10)) = (e13))/\(((op1 (e10) (e13)) = (e13))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11))))/\(((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12))))/\((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))))))))\/((((op1 (e13) (e11)) = (e13))/\(((op1 (e11) (e13)) = (e13))/\(((~((op1 (e11) (e10)) = (e11)))\/(~((op1 (e11) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e11) (e12)) = (e11)))\/(~((op1 (e11) (e11)) = (e12))))/\((~((op1 (e11) (e13)) = (e11)))\/(~((op1 (e11) (e11)) = (e13)))))))))\/((((op1 (e13) (e12)) = (e13))/\(((op1 (e12) (e13)) = (e13))/\(((~((op1 (e12) (e10)) = (e12)))\/(~((op1 (e12) (e12)) = (e10))))/\(((~((op1 (e12) (e11)) = (e12)))\/(~((op1 (e12) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13)))))))))\/(((op1 (e13) (e13)) = (e13))/\(((op1 (e13) (e13)) = (e13))/\(((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e13) (e13)) = (e10))))/\(((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11))))/\(((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e13) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13)))))))))))))))))))))))) -> (~((op1 (e12) (e12)) = (e12))) -> (~((op1 (e12) (e13)) = (e12))) -> False).
% 55.08/55.29 do 0 intro. intros zenon_H2c2 zenon_H15a zenon_H2b9 zenon_H13 zenon_H15 zenon_H1f4 zenon_H2c0 zenon_H29e zenon_H14b zenon_H154 zenon_H155 zenon_H15f zenon_H25 zenon_H179 zenon_H21a zenon_H186 zenon_H17 zenon_H204 zenon_H1fd zenon_H19d zenon_H206 zenon_H172 zenon_H180 zenon_H1a9 zenon_H1a0 zenon_H270 zenon_H3b zenon_H461 zenon_He8 zenon_H522 zenon_H236 zenon_H2e7 zenon_H2ad zenon_H360 zenon_H1cc zenon_H2f8 zenon_H18a zenon_H301 zenon_H316 zenon_H1d8 zenon_H1b1 zenon_H1be zenon_H313 zenon_H1e zenon_H16c zenon_H23b zenon_H245 zenon_H1d1 zenon_H27d.
% 55.08/55.29 apply (zenon_or_s _ _ zenon_H23b); [ zenon_intro zenon_H21b | zenon_intro zenon_H23d ].
% 55.08/55.29 apply (zenon_L109_); trivial.
% 55.08/55.29 apply (zenon_or_s _ _ zenon_H23d); [ zenon_intro zenon_H202 | zenon_intro zenon_H23e ].
% 55.08/55.29 apply (zenon_L951_); trivial.
% 55.08/55.29 apply (zenon_or_s _ _ zenon_H23e); [ zenon_intro zenon_H1cb | zenon_intro zenon_H22f ].
% 55.08/55.29 exact (zenon_H1d1 zenon_H1cb).
% 55.08/55.29 exact (zenon_H27d zenon_H22f).
% 55.08/55.29 (* end of lemma zenon_L952_ *)
% 55.08/55.29 assert (zenon_L953_ : (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e23) (e20)))) -> (~((op1 (e12) (e13)) = (e12))) -> (~((op1 (e12) (e12)) = (e12))) -> ((((op1 (e10) (e10)) = (e10))/\(((op1 (e10) (e10)) = (e10))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11))))/\(((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12))))/\((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))))))))\/((((op1 (e10) (e11)) = (e10))/\(((op1 (e11) (e10)) = (e10))/\(((~((op1 (e11) (e10)) = (e11)))\/(~((op1 (e11) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e11) (e12)) = (e11)))\/(~((op1 (e11) (e11)) = (e12))))/\((~((op1 (e11) (e13)) = (e11)))\/(~((op1 (e11) (e11)) = (e13)))))))))\/((((op1 (e10) (e12)) = (e10))/\(((op1 (e12) (e10)) = (e10))/\(((~((op1 (e12) (e10)) = (e12)))\/(~((op1 (e12) (e12)) = (e10))))/\(((~((op1 (e12) (e11)) = (e12)))\/(~((op1 (e12) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13)))))))))\/((((op1 (e10) (e13)) = (e10))/\(((op1 (e13) (e10)) = (e10))/\(((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e13) (e13)) = (e10))))/\(((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11))))/\(((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e13) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13)))))))))\/((((op1 (e11) (e10)) = (e11))/\(((op1 (e10) (e11)) = (e11))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11))))/\(((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12))))/\((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))))))))\/((((op1 (e11) (e11)) = (e11))/\(((op1 (e11) (e11)) = (e11))/\(((~((op1 (e11) (e10)) = (e11)))\/(~((op1 (e11) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e11) (e12)) = (e11)))\/(~((op1 (e11) (e11)) = (e12))))/\((~((op1 (e11) (e13)) = (e11)))\/(~((op1 (e11) (e11)) = (e13)))))))))\/((((op1 (e11) (e12)) = (e11))/\(((op1 (e12) (e11)) = (e11))/\(((~((op1 (e12) (e10)) = (e12)))\/(~((op1 (e12) (e12)) = (e10))))/\(((~((op1 (e12) (e11)) = (e12)))\/(~((op1 (e12) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13)))))))))\/((((op1 (e11) (e13)) = (e11))/\(((op1 (e13) (e11)) = (e11))/\(((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e13) (e13)) = (e10))))/\(((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11))))/\(((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e13) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13)))))))))\/((((op1 (e12) (e10)) = (e12))/\(((op1 (e10) (e12)) = (e12))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11))))/\(((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12))))/\((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))))))))\/((((op1 (e12) (e11)) = (e12))/\(((op1 (e11) (e12)) = (e12))/\(((~((op1 (e11) (e10)) = (e11)))\/(~((op1 (e11) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e11) (e12)) = (e11)))\/(~((op1 (e11) (e11)) = (e12))))/\((~((op1 (e11) (e13)) = (e11)))\/(~((op1 (e11) (e11)) = (e13)))))))))\/((((op1 (e12) (e12)) = (e12))/\(((op1 (e12) (e12)) = (e12))/\(((~((op1 (e12) (e10)) = (e12)))\/(~((op1 (e12) (e12)) = (e10))))/\(((~((op1 (e12) (e11)) = (e12)))\/(~((op1 (e12) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13)))))))))\/((((op1 (e12) (e13)) = (e12))/\(((op1 (e13) (e12)) = (e12))/\(((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e13) (e13)) = (e10))))/\(((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11))))/\(((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e13) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13)))))))))\/((((op1 (e13) (e10)) = (e13))/\(((op1 (e10) (e13)) = (e13))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11))))/\(((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12))))/\((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))))))))\/((((op1 (e13) (e11)) = (e13))/\(((op1 (e11) (e13)) = (e13))/\(((~((op1 (e11) (e10)) = (e11)))\/(~((op1 (e11) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e11) (e12)) = (e11)))\/(~((op1 (e11) (e11)) = (e12))))/\((~((op1 (e11) (e13)) = (e11)))\/(~((op1 (e11) (e11)) = (e13)))))))))\/((((op1 (e13) (e12)) = (e13))/\(((op1 (e12) (e13)) = (e13))/\(((~((op1 (e12) (e10)) = (e12)))\/(~((op1 (e12) (e12)) = (e10))))/\(((~((op1 (e12) (e11)) = (e12)))\/(~((op1 (e12) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13)))))))))\/(((op1 (e13) (e13)) = (e13))/\(((op1 (e13) (e13)) = (e13))/\(((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e13) (e13)) = (e10))))/\(((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11))))/\(((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e13) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13)))))))))))))))))))))))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((e10) = (e12))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((e12) = (e13))) -> (~((h2 (op1 (e13) (e11))) = (op2 (h2 (e13)) (h2 (e11))))) -> ((h2 (e13)) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((h2 (e11)) = (e21)) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e11)) = (e12))\/((op1 (e10) (e11)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e12))\/((op1 (e11) (e10)) = (e13))))) -> ((e12) = (op1 (op1 (op1 (e11) (e11)) (op1 (e11) (e11))) (op1 (e11) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> ((op1 (e11) (op1 (e11) (e13))) = (e13)) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> ((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) -> ((e10) = (op1 (e11) (e11))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> ((op2 (e22) (e22)) = (e23)) -> ((op2 (e20) (e20)) = (e23)) -> (((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e21)) = (e22))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> ((op2 (e20) (e21)) = (e21)) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> ((e23) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((e20) = (op2 (e21) (e21))) -> ((e22) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> False).
% 55.08/55.29 do 0 intro. intros zenon_H3b7 zenon_H55 zenon_H27d zenon_H1d1 zenon_H245 zenon_H23b zenon_H16c zenon_H1e zenon_H313 zenon_H1be zenon_H1b1 zenon_H1d8 zenon_H316 zenon_H301 zenon_H18a zenon_H2f8 zenon_H1cc zenon_H360 zenon_H2ad zenon_H2e7 zenon_H236 zenon_H522 zenon_H461 zenon_H270 zenon_H1a0 zenon_H1a9 zenon_H180 zenon_H172 zenon_H206 zenon_H19d zenon_H1fd zenon_H204 zenon_H17 zenon_H186 zenon_H21a zenon_H179 zenon_H25 zenon_H15f zenon_H155 zenon_H154 zenon_H14b zenon_H29e zenon_H2c0 zenon_H1f4 zenon_H15 zenon_H13 zenon_H2b9 zenon_H15a zenon_H2c2 zenon_Hfc zenon_Hf6 zenon_Ha8 zenon_H3b1 zenon_H39d zenon_Hb9 zenon_H282 zenon_H60 zenon_H3b zenon_H33 zenon_H3f zenon_H3af.
% 55.08/55.29 apply (zenon_or_s _ _ zenon_H3b7); [ zenon_intro zenon_He5 | zenon_intro zenon_H3b8 ].
% 55.08/55.29 apply (zenon_L335_); trivial.
% 55.08/55.29 apply (zenon_or_s _ _ zenon_H3b8); [ zenon_intro zenon_He8 | zenon_intro zenon_H3b9 ].
% 55.08/55.29 apply (zenon_L952_); trivial.
% 55.08/55.29 apply (zenon_or_s _ _ zenon_H3b9); [ zenon_intro zenon_Hfb | zenon_intro zenon_H106 ].
% 55.08/55.29 apply (zenon_L50_); trivial.
% 55.08/55.29 apply (zenon_L349_); trivial.
% 55.08/55.29 (* end of lemma zenon_L953_ *)
% 55.08/55.29 assert (zenon_L954_ : (((op2 (e20) (e22)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e23) (e22)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e22)))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> ((e22) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> ((op2 (e20) (e21)) = (e21)) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> (((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e21)) = (e22))\/((op2 (e23) (e21)) = (e23))))) -> ((op2 (e20) (e20)) = (e23)) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> ((e10) = (op1 (e11) (e11))) -> ((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> ((op1 (e11) (op1 (e11) (e13))) = (e13)) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> ((e12) = (op1 (op1 (op1 (e11) (e11)) (op1 (e11) (e11))) (op1 (e11) (e11)))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e12))\/((op1 (e11) (e10)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e11)) = (e12))\/((op1 (e10) (e11)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> ((h2 (e11)) = (e21)) -> ((h2 (e13)) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> (~((h2 (op1 (e13) (e11))) = (op2 (h2 (e13)) (h2 (e11))))) -> (~((e12) = (e13))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (~((e10) = (e12))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> ((((op1 (e10) (e10)) = (e10))/\(((op1 (e10) (e10)) = (e10))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11))))/\(((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12))))/\((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))))))))\/((((op1 (e10) (e11)) = (e10))/\(((op1 (e11) (e10)) = (e10))/\(((~((op1 (e11) (e10)) = (e11)))\/(~((op1 (e11) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e11) (e12)) = (e11)))\/(~((op1 (e11) (e11)) = (e12))))/\((~((op1 (e11) (e13)) = (e11)))\/(~((op1 (e11) (e11)) = (e13)))))))))\/((((op1 (e10) (e12)) = (e10))/\(((op1 (e12) (e10)) = (e10))/\(((~((op1 (e12) (e10)) = (e12)))\/(~((op1 (e12) (e12)) = (e10))))/\(((~((op1 (e12) (e11)) = (e12)))\/(~((op1 (e12) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13)))))))))\/((((op1 (e10) (e13)) = (e10))/\(((op1 (e13) (e10)) = (e10))/\(((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e13) (e13)) = (e10))))/\(((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11))))/\(((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e13) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13)))))))))\/((((op1 (e11) (e10)) = (e11))/\(((op1 (e10) (e11)) = (e11))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11))))/\(((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12))))/\((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))))))))\/((((op1 (e11) (e11)) = (e11))/\(((op1 (e11) (e11)) = (e11))/\(((~((op1 (e11) (e10)) = (e11)))\/(~((op1 (e11) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e11) (e12)) = (e11)))\/(~((op1 (e11) (e11)) = (e12))))/\((~((op1 (e11) (e13)) = (e11)))\/(~((op1 (e11) (e11)) = (e13)))))))))\/((((op1 (e11) (e12)) = (e11))/\(((op1 (e12) (e11)) = (e11))/\(((~((op1 (e12) (e10)) = (e12)))\/(~((op1 (e12) (e12)) = (e10))))/\(((~((op1 (e12) (e11)) = (e12)))\/(~((op1 (e12) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13)))))))))\/((((op1 (e11) (e13)) = (e11))/\(((op1 (e13) (e11)) = (e11))/\(((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e13) (e13)) = (e10))))/\(((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11))))/\(((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e13) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13)))))))))\/((((op1 (e12) (e10)) = (e12))/\(((op1 (e10) (e12)) = (e12))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11))))/\(((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12))))/\((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))))))))\/((((op1 (e12) (e11)) = (e12))/\(((op1 (e11) (e12)) = (e12))/\(((~((op1 (e11) (e10)) = (e11)))\/(~((op1 (e11) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e11) (e12)) = (e11)))\/(~((op1 (e11) (e11)) = (e12))))/\((~((op1 (e11) (e13)) = (e11)))\/(~((op1 (e11) (e11)) = (e13)))))))))\/((((op1 (e12) (e12)) = (e12))/\(((op1 (e12) (e12)) = (e12))/\(((~((op1 (e12) (e10)) = (e12)))\/(~((op1 (e12) (e12)) = (e10))))/\(((~((op1 (e12) (e11)) = (e12)))\/(~((op1 (e12) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13)))))))))\/((((op1 (e12) (e13)) = (e12))/\(((op1 (e13) (e12)) = (e12))/\(((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e13) (e13)) = (e10))))/\(((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11))))/\(((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e13) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13)))))))))\/((((op1 (e13) (e10)) = (e13))/\(((op1 (e10) (e13)) = (e13))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11))))/\(((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12))))/\((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))))))))\/((((op1 (e13) (e11)) = (e13))/\(((op1 (e11) (e13)) = (e13))/\(((~((op1 (e11) (e10)) = (e11)))\/(~((op1 (e11) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e11) (e12)) = (e11)))\/(~((op1 (e11) (e11)) = (e12))))/\((~((op1 (e11) (e13)) = (e11)))\/(~((op1 (e11) (e11)) = (e13)))))))))\/((((op1 (e13) (e12)) = (e13))/\(((op1 (e12) (e13)) = (e13))/\(((~((op1 (e12) (e10)) = (e12)))\/(~((op1 (e12) (e12)) = (e10))))/\(((~((op1 (e12) (e11)) = (e12)))\/(~((op1 (e12) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13)))))))))\/(((op1 (e13) (e13)) = (e13))/\(((op1 (e13) (e13)) = (e13))/\(((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e13) (e13)) = (e10))))/\(((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11))))/\(((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e13) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13)))))))))))))))))))))))) -> (~((op1 (e12) (e12)) = (e12))) -> (~((op1 (e12) (e13)) = (e12))) -> (~((op2 (e20) (e20)) = (op2 (e23) (e20)))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> ((e23) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((op2 (e21) (e21)) = (e22)) -> ((e20) = (op2 (e21) (e21))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> False).
% 55.08/55.29 do 0 intro. intros zenon_H43a zenon_H98 zenon_H437 zenon_H3af zenon_H3f zenon_H60 zenon_H282 zenon_Hb9 zenon_H39d zenon_H3b1 zenon_Ha8 zenon_Hfc zenon_H2c2 zenon_H15a zenon_H2b9 zenon_H13 zenon_H15 zenon_H1f4 zenon_H2c0 zenon_H29e zenon_H14b zenon_H154 zenon_H155 zenon_H15f zenon_H25 zenon_H179 zenon_H21a zenon_H186 zenon_H17 zenon_H204 zenon_H1fd zenon_H19d zenon_H206 zenon_H172 zenon_H180 zenon_H1a9 zenon_H1a0 zenon_H270 zenon_H461 zenon_H522 zenon_H236 zenon_H2e7 zenon_H2ad zenon_H360 zenon_H1cc zenon_H2f8 zenon_H18a zenon_H301 zenon_H316 zenon_H1d8 zenon_H1b1 zenon_H1be zenon_H313 zenon_H1e zenon_H16c zenon_H23b zenon_H245 zenon_H1d1 zenon_H27d zenon_H55 zenon_H3b7 zenon_H3b zenon_H401 zenon_H33 zenon_H3cb.
% 55.08/55.29 apply (zenon_or_s _ _ zenon_H43a); [ zenon_intro zenon_H97 | zenon_intro zenon_H43b ].
% 55.08/55.29 apply (zenon_L26_); trivial.
% 55.08/55.29 apply (zenon_or_s _ _ zenon_H43b); [ zenon_intro zenon_H38e | zenon_intro zenon_H43c ].
% 55.08/55.29 apply (zenon_L449_); trivial.
% 55.08/55.29 apply (zenon_or_s _ _ zenon_H43c); [ zenon_intro zenon_Hf6 | zenon_intro zenon_Hfb ].
% 55.08/55.29 apply (zenon_L953_); trivial.
% 55.08/55.29 apply (zenon_L450_); trivial.
% 55.08/55.29 (* end of lemma zenon_L954_ *)
% 55.08/55.29 assert (zenon_L955_ : ((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13)))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (~((op1 (e12) (e12)) = (e11))) -> ((op1 (e10) (e12)) = (e10)) -> ((op1 (e12) (e10)) = (e10)) -> ((op1 (e11) (op1 (e11) (e10))) = (e10)) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> ((e12) = (op1 (op1 (op1 (e11) (e11)) (op1 (e11) (e11))) (op1 (e11) (e11)))) -> ((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) -> ((e10) = (op1 (e11) (e11))) -> ((((op1 (e10) (e10)) = (e10))/\(((op1 (e10) (e10)) = (e10))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11))))/\(((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12))))/\((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))))))))\/((((op1 (e10) (e11)) = (e10))/\(((op1 (e11) (e10)) = (e10))/\(((~((op1 (e11) (e10)) = (e11)))\/(~((op1 (e11) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e11) (e12)) = (e11)))\/(~((op1 (e11) (e11)) = (e12))))/\((~((op1 (e11) (e13)) = (e11)))\/(~((op1 (e11) (e11)) = (e13)))))))))\/((((op1 (e10) (e12)) = (e10))/\(((op1 (e12) (e10)) = (e10))/\(((~((op1 (e12) (e10)) = (e12)))\/(~((op1 (e12) (e12)) = (e10))))/\(((~((op1 (e12) (e11)) = (e12)))\/(~((op1 (e12) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13)))))))))\/((((op1 (e10) (e13)) = (e10))/\(((op1 (e13) (e10)) = (e10))/\(((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e13) (e13)) = (e10))))/\(((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11))))/\(((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e13) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13)))))))))\/((((op1 (e11) (e10)) = (e11))/\(((op1 (e10) (e11)) = (e11))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11))))/\(((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12))))/\((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))))))))\/((((op1 (e11) (e11)) = (e11))/\(((op1 (e11) (e11)) = (e11))/\(((~((op1 (e11) (e10)) = (e11)))\/(~((op1 (e11) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e11) (e12)) = (e11)))\/(~((op1 (e11) (e11)) = (e12))))/\((~((op1 (e11) (e13)) = (e11)))\/(~((op1 (e11) (e11)) = (e13)))))))))\/((((op1 (e11) (e12)) = (e11))/\(((op1 (e12) (e11)) = (e11))/\(((~((op1 (e12) (e10)) = (e12)))\/(~((op1 (e12) (e12)) = (e10))))/\(((~((op1 (e12) (e11)) = (e12)))\/(~((op1 (e12) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13)))))))))\/((((op1 (e11) (e13)) = (e11))/\(((op1 (e13) (e11)) = (e11))/\(((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e13) (e13)) = (e10))))/\(((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11))))/\(((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e13) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13)))))))))\/((((op1 (e12) (e10)) = (e12))/\(((op1 (e10) (e12)) = (e12))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11))))/\(((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12))))/\((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))))))))\/((((op1 (e12) (e11)) = (e12))/\(((op1 (e11) (e12)) = (e12))/\(((~((op1 (e11) (e10)) = (e11)))\/(~((op1 (e11) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e11) (e12)) = (e11)))\/(~((op1 (e11) (e11)) = (e12))))/\((~((op1 (e11) (e13)) = (e11)))\/(~((op1 (e11) (e11)) = (e13)))))))))\/((((op1 (e12) (e12)) = (e12))/\(((op1 (e12) (e12)) = (e12))/\(((~((op1 (e12) (e10)) = (e12)))\/(~((op1 (e12) (e12)) = (e10))))/\(((~((op1 (e12) (e11)) = (e12)))\/(~((op1 (e12) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13)))))))))\/((((op1 (e12) (e13)) = (e12))/\(((op1 (e13) (e12)) = (e12))/\(((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e13) (e13)) = (e10))))/\(((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11))))/\(((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e13) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13)))))))))\/((((op1 (e13) (e10)) = (e13))/\(((op1 (e10) (e13)) = (e13))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11))))/\(((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12))))/\((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))))))))\/((((op1 (e13) (e11)) = (e13))/\(((op1 (e11) (e13)) = (e13))/\(((~((op1 (e11) (e10)) = (e11)))\/(~((op1 (e11) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e11) (e12)) = (e11)))\/(~((op1 (e11) (e11)) = (e12))))/\((~((op1 (e11) (e13)) = (e11)))\/(~((op1 (e11) (e11)) = (e13)))))))))\/((((op1 (e13) (e12)) = (e13))/\(((op1 (e12) (e13)) = (e13))/\(((~((op1 (e12) (e10)) = (e12)))\/(~((op1 (e12) (e12)) = (e10))))/\(((~((op1 (e12) (e11)) = (e12)))\/(~((op1 (e12) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13)))))))))\/(((op1 (e13) (e13)) = (e13))/\(((op1 (e13) (e13)) = (e13))/\(((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e13) (e13)) = (e10))))/\(((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11))))/\(((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e13) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13)))))))))))))))))))))))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((e10) = (e12))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (~((h2 (op1 (e13) (e11))) = (op2 (h2 (e13)) (h2 (e11))))) -> ((h2 (e11)) = (e21)) -> ((e23) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((h2 (e13)) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((op2 (e23) (e21)) = (e23)) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e11)) = (e12))\/((op1 (e10) (e11)) = (e13))))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> ((op1 (e11) (op1 (e11) (e13))) = (e13)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((e12) = (e13))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e12))\/((op1 (e11) (e10)) = (e13))))) -> (~((op1 (e12) (e12)) = (e12))) -> False).
% 55.08/55.29 do 0 intro. intros zenon_H22c zenon_H1da zenon_H23f zenon_H18f zenon_H293 zenon_H292 zenon_H1de zenon_H21a zenon_H155 zenon_H15 zenon_H13 zenon_H245 zenon_H2c2 zenon_H2c0 zenon_H1f4 zenon_H1a9 zenon_H16c zenon_H1a0 zenon_H25 zenon_H1e zenon_H17 zenon_H2e7 zenon_H2b9 zenon_H1b1 zenon_H522 zenon_H270 zenon_H3b zenon_H461 zenon_He8 zenon_H1d8 zenon_H206 zenon_H186 zenon_H180 zenon_H179 zenon_H204 zenon_H23b zenon_H301 zenon_H2f8 zenon_H29e zenon_H172 zenon_H1fd zenon_H18a zenon_H1cc zenon_H360 zenon_H316 zenon_H19d zenon_H1be zenon_H236 zenon_H2ad zenon_H313 zenon_H14b zenon_H154 zenon_H15a zenon_H15f zenon_H1d1.
% 55.08/55.29 apply (zenon_or_s _ _ zenon_H22c); [ zenon_intro zenon_H27d | zenon_intro zenon_H29d ].
% 55.08/55.29 apply (zenon_L952_); trivial.
% 55.08/55.29 apply (zenon_L144_); trivial.
% 55.08/55.29 (* end of lemma zenon_L955_ *)
% 55.08/55.29 assert (zenon_L956_ : (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> ((op1 (e10) (e11)) = (e11)) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> ((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) -> ((e10) = (op1 (e11) (e11))) -> ((e12) = (op1 (op1 (op1 (e11) (e11)) (op1 (e11) (e11))) (op1 (e11) (e11)))) -> (~((h2 (op1 (e13) (e11))) = (op2 (h2 (e13)) (h2 (e11))))) -> ((op2 (e23) (e21)) = (e23)) -> ((h2 (e13)) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((e23) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((h2 (e11)) = (e21)) -> False).
% 55.08/55.29 do 0 intro. intros zenon_H2f8 zenon_H18a zenon_H1fe zenon_H1fd zenon_H172 zenon_H15 zenon_H13 zenon_H155 zenon_H522 zenon_He8 zenon_H461 zenon_H3b zenon_H270.
% 55.08/55.29 apply (zenon_or_s _ _ zenon_H2f8); [ zenon_intro zenon_H189 | zenon_intro zenon_H2f9 ].
% 55.08/55.29 apply (zenon_L73_); trivial.
% 55.08/55.29 apply (zenon_or_s _ _ zenon_H2f9); [ zenon_intro zenon_H1ff | zenon_intro zenon_H2fa ].
% 55.08/55.29 apply (zenon_L100_); trivial.
% 55.08/55.29 apply (zenon_or_s _ _ zenon_H2fa); [ zenon_intro zenon_H171 | zenon_intro zenon_H1c3 ].
% 55.08/55.29 apply (zenon_L69_); trivial.
% 55.08/55.29 apply (zenon_L943_); trivial.
% 55.08/55.29 (* end of lemma zenon_L956_ *)
% 55.08/55.29 assert (zenon_L957_ : ((~((op1 (e13) (e13)) = (e11)))\/((op1 (e13) (e11)) = (e13))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e12))\/((op1 (e11) (e10)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> ((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) -> ((e12) = (op1 (op1 (op1 (e11) (e11)) (op1 (e11) (e11))) (op1 (e11) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> ((e10) = (op1 (e11) (e11))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (~((op1 (e12) (e12)) = (e11))) -> ((op1 (e11) (op1 (e11) (e10))) = (e10)) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> ((((op1 (e10) (e10)) = (e10))/\(((op1 (e10) (e10)) = (e10))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11))))/\(((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12))))/\((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))))))))\/((((op1 (e10) (e11)) = (e10))/\(((op1 (e11) (e10)) = (e10))/\(((~((op1 (e11) (e10)) = (e11)))\/(~((op1 (e11) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e11) (e12)) = (e11)))\/(~((op1 (e11) (e11)) = (e12))))/\((~((op1 (e11) (e13)) = (e11)))\/(~((op1 (e11) (e11)) = (e13)))))))))\/((((op1 (e10) (e12)) = (e10))/\(((op1 (e12) (e10)) = (e10))/\(((~((op1 (e12) (e10)) = (e12)))\/(~((op1 (e12) (e12)) = (e10))))/\(((~((op1 (e12) (e11)) = (e12)))\/(~((op1 (e12) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13)))))))))\/((((op1 (e10) (e13)) = (e10))/\(((op1 (e13) (e10)) = (e10))/\(((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e13) (e13)) = (e10))))/\(((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11))))/\(((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e13) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13)))))))))\/((((op1 (e11) (e10)) = (e11))/\(((op1 (e10) (e11)) = (e11))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11))))/\(((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12))))/\((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))))))))\/((((op1 (e11) (e11)) = (e11))/\(((op1 (e11) (e11)) = (e11))/\(((~((op1 (e11) (e10)) = (e11)))\/(~((op1 (e11) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e11) (e12)) = (e11)))\/(~((op1 (e11) (e11)) = (e12))))/\((~((op1 (e11) (e13)) = (e11)))\/(~((op1 (e11) (e11)) = (e13)))))))))\/((((op1 (e11) (e12)) = (e11))/\(((op1 (e12) (e11)) = (e11))/\(((~((op1 (e12) (e10)) = (e12)))\/(~((op1 (e12) (e12)) = (e10))))/\(((~((op1 (e12) (e11)) = (e12)))\/(~((op1 (e12) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13)))))))))\/((((op1 (e11) (e13)) = (e11))/\(((op1 (e13) (e11)) = (e11))/\(((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e13) (e13)) = (e10))))/\(((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11))))/\(((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e13) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13)))))))))\/((((op1 (e12) (e10)) = (e12))/\(((op1 (e10) (e12)) = (e12))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11))))/\(((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12))))/\((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))))))))\/((((op1 (e12) (e11)) = (e12))/\(((op1 (e11) (e12)) = (e12))/\(((~((op1 (e11) (e10)) = (e11)))\/(~((op1 (e11) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e11) (e12)) = (e11)))\/(~((op1 (e11) (e11)) = (e12))))/\((~((op1 (e11) (e13)) = (e11)))\/(~((op1 (e11) (e11)) = (e13)))))))))\/((((op1 (e12) (e12)) = (e12))/\(((op1 (e12) (e12)) = (e12))/\(((~((op1 (e12) (e10)) = (e12)))\/(~((op1 (e12) (e12)) = (e10))))/\(((~((op1 (e12) (e11)) = (e12)))\/(~((op1 (e12) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13)))))))))\/((((op1 (e12) (e13)) = (e12))/\(((op1 (e13) (e12)) = (e12))/\(((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e13) (e13)) = (e10))))/\(((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11))))/\(((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e13) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13)))))))))\/((((op1 (e13) (e10)) = (e13))/\(((op1 (e10) (e13)) = (e13))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11))))/\(((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12))))/\((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))))))))\/((((op1 (e13) (e11)) = (e13))/\(((op1 (e11) (e13)) = (e13))/\(((~((op1 (e11) (e10)) = (e11)))\/(~((op1 (e11) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e11) (e12)) = (e11)))\/(~((op1 (e11) (e11)) = (e12))))/\((~((op1 (e11) (e13)) = (e11)))\/(~((op1 (e11) (e11)) = (e13)))))))))\/((((op1 (e13) (e12)) = (e13))/\(((op1 (e12) (e13)) = (e13))/\(((~((op1 (e12) (e10)) = (e12)))\/(~((op1 (e12) (e12)) = (e10))))/\(((~((op1 (e12) (e11)) = (e12)))\/(~((op1 (e12) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13)))))))))\/(((op1 (e13) (e13)) = (e13))/\(((op1 (e13) (e13)) = (e13))/\(((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e13) (e13)) = (e10))))/\(((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11))))/\(((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e13) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13)))))))))))))))))))))))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((e10) = (e12))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (~((h2 (op1 (e13) (e11))) = (op2 (h2 (e13)) (h2 (e11))))) -> ((h2 (e11)) = (e21)) -> ((e23) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((h2 (e13)) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((op2 (e23) (e21)) = (e23)) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e11)) = (e12))\/((op1 (e10) (e11)) = (e13))))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> ((op1 (e11) (op1 (e11) (e13))) = (e13)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((e12) = (e13))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> ((op1 (e11) (op1 (e11) (e11))) = (e11)) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (((op1 (e13) (e13)) = (e10))\/(((op1 (e13) (e13)) = (e11))\/(((op1 (e13) (e13)) = (e12))\/((op1 (e13) (e13)) = (e13))))) -> False).
% 55.08/55.29 do 0 intro. intros zenon_H37b zenon_H15f zenon_H15a zenon_H15 zenon_H155 zenon_H154 zenon_H13 zenon_H14b zenon_H1da zenon_H23f zenon_H292 zenon_H1de zenon_H21a zenon_H245 zenon_H2c2 zenon_H2c0 zenon_H1f4 zenon_H1a9 zenon_H16c zenon_H1a0 zenon_H25 zenon_H1e zenon_H17 zenon_H2e7 zenon_H2b9 zenon_H1b1 zenon_H522 zenon_H270 zenon_H3b zenon_H461 zenon_He8 zenon_H1d8 zenon_H206 zenon_H186 zenon_H180 zenon_H179 zenon_H204 zenon_H23b zenon_H301 zenon_H2f8 zenon_H29e zenon_H172 zenon_H1fd zenon_H18a zenon_H1cc zenon_H360 zenon_H316 zenon_H19d zenon_H1be zenon_H236 zenon_H2ad zenon_H313 zenon_H18e zenon_H2a3 zenon_H2a5 zenon_H2a6 zenon_H2b1 zenon_H1fa zenon_H20c.
% 55.08/55.29 apply (zenon_or_s _ _ zenon_H37b); [ zenon_intro zenon_H20d | zenon_intro zenon_H1c3 ].
% 55.08/55.29 apply (zenon_or_s _ _ zenon_H245); [ zenon_intro zenon_H147 | zenon_intro zenon_H254 ].
% 55.08/55.29 apply (zenon_L60_); trivial.
% 55.08/55.29 apply (zenon_or_s _ _ zenon_H254); [ zenon_intro zenon_H164 | zenon_intro zenon_H255 ].
% 55.08/55.29 apply (zenon_L66_); trivial.
% 55.08/55.29 apply (zenon_or_s _ _ zenon_H255); [ zenon_intro zenon_H197 | zenon_intro zenon_H256 ].
% 55.08/55.29 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_H18f. zenon_intro zenon_H198.
% 55.08/55.29 apply (zenon_and_s _ _ zenon_H198). zenon_intro zenon_H293. zenon_intro zenon_H227.
% 55.08/55.29 apply (zenon_and_s _ _ zenon_H227). zenon_intro zenon_H229. zenon_intro zenon_H228.
% 55.08/55.29 apply (zenon_and_s _ _ zenon_H228). zenon_intro zenon_H22b. zenon_intro zenon_H22a.
% 55.08/55.29 apply (zenon_and_s _ _ zenon_H22a). zenon_intro zenon_H224. zenon_intro zenon_H22c.
% 55.08/55.29 apply (zenon_or_s _ _ zenon_H224); [ zenon_intro zenon_H1d1 | zenon_intro zenon_H1d1 ].
% 55.08/55.29 apply (zenon_L955_); trivial.
% 55.08/55.29 apply (zenon_L955_); trivial.
% 55.08/55.29 apply (zenon_or_s _ _ zenon_H256); [ zenon_intro zenon_H199 | zenon_intro zenon_H257 ].
% 55.08/55.29 apply (zenon_L77_); trivial.
% 55.08/55.29 apply (zenon_or_s _ _ zenon_H257); [ zenon_intro zenon_H259 | zenon_intro zenon_H258 ].
% 55.08/55.29 apply (zenon_and_s _ _ zenon_H259). zenon_intro zenon_H163. zenon_intro zenon_H25a.
% 55.08/55.29 apply (zenon_and_s _ _ zenon_H25a). zenon_intro zenon_H1fe. zenon_intro zenon_H149.
% 55.08/55.29 apply (zenon_L956_); trivial.
% 55.08/55.29 apply (zenon_or_s _ _ zenon_H258); [ zenon_intro zenon_H1a5 | zenon_intro zenon_H262 ].
% 55.08/55.29 apply (zenon_L80_); trivial.
% 55.08/55.29 apply (zenon_or_s _ _ zenon_H262); [ zenon_intro zenon_H1ae | zenon_intro zenon_H263 ].
% 55.08/55.30 apply (zenon_L83_); trivial.
% 55.08/55.30 apply (zenon_or_s _ _ zenon_H263); [ zenon_intro zenon_H212 | zenon_intro zenon_H264 ].
% 55.08/55.30 apply (zenon_L161_); trivial.
% 55.08/55.30 apply (zenon_or_s _ _ zenon_H264); [ zenon_intro zenon_H220 | zenon_intro zenon_H265 ].
% 55.08/55.30 apply (zenon_L110_); trivial.
% 55.08/55.30 apply (zenon_or_s _ _ zenon_H265); [ zenon_intro zenon_H222 | zenon_intro zenon_H266 ].
% 55.08/55.30 apply (zenon_L111_); trivial.
% 55.08/55.30 apply (zenon_or_s _ _ zenon_H266); [ zenon_intro zenon_H225 | zenon_intro zenon_H267 ].
% 55.08/55.30 apply (zenon_L113_); trivial.
% 55.08/55.30 apply (zenon_or_s _ _ zenon_H267); [ zenon_intro zenon_H22d | zenon_intro zenon_H268 ].
% 55.08/55.30 apply (zenon_L114_); trivial.
% 55.08/55.30 apply (zenon_or_s _ _ zenon_H268); [ zenon_intro zenon_H230 | zenon_intro zenon_H269 ].
% 55.08/55.30 apply (zenon_L115_); trivial.
% 55.08/55.30 apply (zenon_or_s _ _ zenon_H269); [ zenon_intro zenon_H232 | zenon_intro zenon_H26a ].
% 55.08/55.30 apply (zenon_L116_); trivial.
% 55.08/55.30 apply (zenon_or_s _ _ zenon_H26a); [ zenon_intro zenon_H240 | zenon_intro zenon_H242 ].
% 55.08/55.30 apply (zenon_L166_); trivial.
% 55.08/55.30 apply (zenon_L125_); trivial.
% 55.08/55.30 apply (zenon_L943_); trivial.
% 55.08/55.30 (* end of lemma zenon_L957_ *)
% 55.08/55.30 assert (zenon_L958_ : ((((op1 (e10) (op1 (e10) (e10))) = (e10))/\(((op1 (e10) (op1 (e10) (e11))) = (e11))/\(((op1 (e10) (op1 (e10) (e12))) = (e12))/\(((op1 (e10) (op1 (e10) (e13))) = (e13))/\(((~((op1 (e10) (e10)) = (e10)))\/((op1 (e10) (e10)) = (e10)))/\(((~((op1 (e11) (e11)) = (e10)))\/((op1 (e11) (e10)) = (e11)))/\(((~((op1 (e12) (e12)) = (e10)))\/((op1 (e12) (e10)) = (e12)))/\((~((op1 (e13) (e13)) = (e10)))\/((op1 (e13) (e10)) = (e13))))))))))\/((((op1 (e11) (op1 (e11) (e10))) = (e10))/\(((op1 (e11) (op1 (e11) (e11))) = (e11))/\(((op1 (e11) (op1 (e11) (e12))) = (e12))/\(((op1 (e11) (op1 (e11) (e13))) = (e13))/\(((~((op1 (e10) (e10)) = (e11)))\/((op1 (e10) (e11)) = (e10)))/\(((~((op1 (e11) (e11)) = (e11)))\/((op1 (e11) (e11)) = (e11)))/\(((~((op1 (e12) (e12)) = (e11)))\/((op1 (e12) (e11)) = (e12)))/\((~((op1 (e13) (e13)) = (e11)))\/((op1 (e13) (e11)) = (e13))))))))))\/((((op1 (e12) (op1 (e12) (e10))) = (e10))/\(((op1 (e12) (op1 (e12) (e11))) = (e11))/\(((op1 (e12) (op1 (e12) (e12))) = (e12))/\(((op1 (e12) (op1 (e12) (e13))) = (e13))/\(((~((op1 (e10) (e10)) = (e12)))\/((op1 (e10) (e12)) = (e10)))/\(((~((op1 (e11) (e11)) = (e12)))\/((op1 (e11) (e12)) = (e11)))/\(((~((op1 (e12) (e12)) = (e12)))\/((op1 (e12) (e12)) = (e12)))/\((~((op1 (e13) (e13)) = (e12)))\/((op1 (e13) (e12)) = (e13))))))))))\/(((op1 (e13) (op1 (e13) (e10))) = (e10))/\(((op1 (e13) (op1 (e13) (e11))) = (e11))/\(((op1 (e13) (op1 (e13) (e12))) = (e12))/\(((op1 (e13) (op1 (e13) (e13))) = (e13))/\(((~((op1 (e10) (e10)) = (e13)))\/((op1 (e10) (e13)) = (e10)))/\(((~((op1 (e11) (e11)) = (e13)))\/((op1 (e11) (e13)) = (e11)))/\(((~((op1 (e12) (e12)) = (e13)))\/((op1 (e12) (e13)) = (e12)))/\((~((op1 (e13) (e13)) = (e13)))\/((op1 (e13) (e13)) = (e13))))))))))))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((e10) = (e12))) -> (~((h2 (op1 (e13) (e11))) = (op2 (h2 (e13)) (h2 (e11))))) -> ((h2 (e11)) = (e21)) -> ((e23) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((h2 (e13)) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((op2 (e23) (e21)) = (e23)) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (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)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (((op1 (e10) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e12) (e11)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((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 (e11) (e11)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e12) (e13)) = (e10))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> ((((op1 (e10) (e10)) = (e10))/\(((op1 (e10) (e10)) = (e10))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11))))/\(((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12))))/\((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))))))))\/((((op1 (e10) (e11)) = (e10))/\(((op1 (e11) (e10)) = (e10))/\(((~((op1 (e11) (e10)) = (e11)))\/(~((op1 (e11) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e11) (e12)) = (e11)))\/(~((op1 (e11) (e11)) = (e12))))/\((~((op1 (e11) (e13)) = (e11)))\/(~((op1 (e11) (e11)) = (e13)))))))))\/((((op1 (e10) (e12)) = (e10))/\(((op1 (e12) (e10)) = (e10))/\(((~((op1 (e12) (e10)) = (e12)))\/(~((op1 (e12) (e12)) = (e10))))/\(((~((op1 (e12) (e11)) = (e12)))\/(~((op1 (e12) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13)))))))))\/((((op1 (e10) (e13)) = (e10))/\(((op1 (e13) (e10)) = (e10))/\(((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e13) (e13)) = (e10))))/\(((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11))))/\(((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e13) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13)))))))))\/((((op1 (e11) (e10)) = (e11))/\(((op1 (e10) (e11)) = (e11))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11))))/\(((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12))))/\((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))))))))\/((((op1 (e11) (e11)) = (e11))/\(((op1 (e11) (e11)) = (e11))/\(((~((op1 (e11) (e10)) = (e11)))\/(~((op1 (e11) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e11) (e12)) = (e11)))\/(~((op1 (e11) (e11)) = (e12))))/\((~((op1 (e11) (e13)) = (e11)))\/(~((op1 (e11) (e11)) = (e13)))))))))\/((((op1 (e11) (e12)) = (e11))/\(((op1 (e12) (e11)) = (e11))/\(((~((op1 (e12) (e10)) = (e12)))\/(~((op1 (e12) (e12)) = (e10))))/\(((~((op1 (e12) (e11)) = (e12)))\/(~((op1 (e12) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13)))))))))\/((((op1 (e11) (e13)) = (e11))/\(((op1 (e13) (e11)) = (e11))/\(((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e13) (e13)) = (e10))))/\(((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11))))/\(((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e13) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13)))))))))\/((((op1 (e12) (e10)) = (e12))/\(((op1 (e10) (e12)) = (e12))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11))))/\(((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12))))/\((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))))))))\/((((op1 (e12) (e11)) = (e12))/\(((op1 (e11) (e12)) = (e12))/\(((~((op1 (e11) (e10)) = (e11)))\/(~((op1 (e11) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e11) (e12)) = (e11)))\/(~((op1 (e11) (e11)) = (e12))))/\((~((op1 (e11) (e13)) = (e11)))\/(~((op1 (e11) (e11)) = (e13)))))))))\/((((op1 (e12) (e12)) = (e12))/\(((op1 (e12) (e12)) = (e12))/\(((~((op1 (e12) (e10)) = (e12)))\/(~((op1 (e12) (e12)) = (e10))))/\(((~((op1 (e12) (e11)) = (e12)))\/(~((op1 (e12) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13)))))))))\/((((op1 (e12) (e13)) = (e12))/\(((op1 (e13) (e12)) = (e12))/\(((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e13) (e13)) = (e10))))/\(((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11))))/\(((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e13) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13)))))))))\/((((op1 (e13) (e10)) = (e13))/\(((op1 (e10) (e13)) = (e13))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11))))/\(((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12))))/\((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))))))))\/((((op1 (e13) (e11)) = (e13))/\(((op1 (e11) (e13)) = (e13))/\(((~((op1 (e11) (e10)) = (e11)))\/(~((op1 (e11) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e11) (e12)) = (e11)))\/(~((op1 (e11) (e11)) = (e12))))/\((~((op1 (e11) (e13)) = (e11)))\/(~((op1 (e11) (e11)) = (e13)))))))))\/((((op1 (e13) (e12)) = (e13))/\(((op1 (e12) (e13)) = (e13))/\(((~((op1 (e12) (e10)) = (e12)))\/(~((op1 (e12) (e12)) = (e10))))/\(((~((op1 (e12) (e11)) = (e12)))\/(~((op1 (e12) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13)))))))))\/(((op1 (e13) (e13)) = (e13))/\(((op1 (e13) (e13)) = (e13))/\(((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e13) (e13)) = (e10))))/\(((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11))))/\(((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e13) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13)))))))))))))))))))))))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((e12) = (e13))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e13)) = (e10))\/(((op1 (e13) (e13)) = (e11))\/(((op1 (e13) (e13)) = (e12))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> ((e12) = (op1 (op1 (op1 (e11) (e11)) (op1 (e11) (e11))) (op1 (e11) (e11)))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e12))\/((op1 (e11) (e10)) = (e13))))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> ((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) -> ((e10) = (op1 (e11) (e11))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> False).
% 55.08/55.30 do 0 intro. intros zenon_H36e zenon_H192 zenon_H1ed zenon_H1de zenon_H16c zenon_H522 zenon_H270 zenon_H3b zenon_H461 zenon_He8 zenon_H2a5 zenon_H2b1 zenon_H1fa zenon_H1e8 zenon_H1f7 zenon_H32b zenon_H206 zenon_H32e zenon_H1a9 zenon_H246 zenon_H2fd zenon_H2c0 zenon_H2b9 zenon_H328 zenon_H325 zenon_H322 zenon_H1f4 zenon_H2c2 zenon_H321 zenon_H301 zenon_H30b zenon_H204 zenon_H30e zenon_H316 zenon_H19d zenon_H2ea zenon_H2e2 zenon_H2a3 zenon_H2e6 zenon_H2d9 zenon_H1cc zenon_H2d1 zenon_H245 zenon_H1d8 zenon_H1da zenon_H209 zenon_H358 zenon_H2c9 zenon_H355 zenon_H1fd zenon_H2f6 zenon_H23b zenon_H2ad zenon_H236 zenon_H2e7 zenon_H21a zenon_H313 zenon_H1be zenon_H345 zenon_H20c zenon_H1b1 zenon_H186 zenon_H180 zenon_H179 zenon_H172 zenon_H18e zenon_H14b zenon_H154 zenon_H155 zenon_H15a zenon_H15f zenon_H2fb zenon_H360 zenon_H2f8 zenon_H35d zenon_H18a zenon_H17 zenon_H15 zenon_H13 zenon_H1e zenon_H25 zenon_H1a0.
% 55.08/55.30 apply (zenon_or_s _ _ zenon_H36e); [ zenon_intro zenon_H244 | zenon_intro zenon_H36f ].
% 55.08/55.30 apply (zenon_L126_); trivial.
% 55.08/55.30 apply (zenon_or_s _ _ zenon_H36f); [ zenon_intro zenon_H371 | zenon_intro zenon_H370 ].
% 55.08/55.30 apply (zenon_and_s _ _ zenon_H371). zenon_intro zenon_H292. zenon_intro zenon_H372.
% 55.08/55.30 apply (zenon_and_s _ _ zenon_H372). zenon_intro zenon_H2a6. zenon_intro zenon_H373.
% 55.08/55.30 apply (zenon_and_s _ _ zenon_H373). zenon_intro zenon_H375. zenon_intro zenon_H374.
% 55.08/55.30 apply (zenon_and_s _ _ zenon_H374). zenon_intro zenon_H29e. zenon_intro zenon_H376.
% 55.08/55.30 apply (zenon_and_s _ _ zenon_H376). zenon_intro zenon_H378. zenon_intro zenon_H377.
% 55.08/55.30 apply (zenon_and_s _ _ zenon_H377). zenon_intro zenon_H37a. zenon_intro zenon_H379.
% 55.08/55.30 apply (zenon_and_s _ _ zenon_H379). zenon_intro zenon_H37c. zenon_intro zenon_H37b.
% 55.08/55.30 apply (zenon_or_s _ _ zenon_H37c); [ zenon_intro zenon_H23f | zenon_intro zenon_H202 ].
% 55.08/55.30 apply (zenon_L957_); trivial.
% 55.08/55.30 apply (zenon_L951_); trivial.
% 55.08/55.30 apply (zenon_or_s _ _ zenon_H370); [ zenon_intro zenon_H335 | zenon_intro zenon_H363 ].
% 55.08/55.30 apply (zenon_L260_); trivial.
% 55.08/55.30 apply (zenon_L307_); trivial.
% 55.08/55.30 (* end of lemma zenon_L958_ *)
% 55.08/55.30 assert (zenon_L959_ : (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e23) (e20)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> ((e10) = (op1 (e11) (e11))) -> ((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e12))\/((op1 (e11) (e10)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> ((e12) = (op1 (op1 (op1 (e11) (e11)) (op1 (e11) (e11))) (op1 (e11) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e13) (e13)) = (e10))\/(((op1 (e13) (e13)) = (e11))\/(((op1 (e13) (e13)) = (e12))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((e12) = (e13))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> ((((op1 (e10) (e10)) = (e10))/\(((op1 (e10) (e10)) = (e10))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11))))/\(((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12))))/\((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))))))))\/((((op1 (e10) (e11)) = (e10))/\(((op1 (e11) (e10)) = (e10))/\(((~((op1 (e11) (e10)) = (e11)))\/(~((op1 (e11) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e11) (e12)) = (e11)))\/(~((op1 (e11) (e11)) = (e12))))/\((~((op1 (e11) (e13)) = (e11)))\/(~((op1 (e11) (e11)) = (e13)))))))))\/((((op1 (e10) (e12)) = (e10))/\(((op1 (e12) (e10)) = (e10))/\(((~((op1 (e12) (e10)) = (e12)))\/(~((op1 (e12) (e12)) = (e10))))/\(((~((op1 (e12) (e11)) = (e12)))\/(~((op1 (e12) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13)))))))))\/((((op1 (e10) (e13)) = (e10))/\(((op1 (e13) (e10)) = (e10))/\(((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e13) (e13)) = (e10))))/\(((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11))))/\(((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e13) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13)))))))))\/((((op1 (e11) (e10)) = (e11))/\(((op1 (e10) (e11)) = (e11))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11))))/\(((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12))))/\((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))))))))\/((((op1 (e11) (e11)) = (e11))/\(((op1 (e11) (e11)) = (e11))/\(((~((op1 (e11) (e10)) = (e11)))\/(~((op1 (e11) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e11) (e12)) = (e11)))\/(~((op1 (e11) (e11)) = (e12))))/\((~((op1 (e11) (e13)) = (e11)))\/(~((op1 (e11) (e11)) = (e13)))))))))\/((((op1 (e11) (e12)) = (e11))/\(((op1 (e12) (e11)) = (e11))/\(((~((op1 (e12) (e10)) = (e12)))\/(~((op1 (e12) (e12)) = (e10))))/\(((~((op1 (e12) (e11)) = (e12)))\/(~((op1 (e12) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13)))))))))\/((((op1 (e11) (e13)) = (e11))/\(((op1 (e13) (e11)) = (e11))/\(((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e13) (e13)) = (e10))))/\(((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11))))/\(((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e13) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13)))))))))\/((((op1 (e12) (e10)) = (e12))/\(((op1 (e10) (e12)) = (e12))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11))))/\(((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12))))/\((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))))))))\/((((op1 (e12) (e11)) = (e12))/\(((op1 (e11) (e12)) = (e12))/\(((~((op1 (e11) (e10)) = (e11)))\/(~((op1 (e11) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e11) (e12)) = (e11)))\/(~((op1 (e11) (e11)) = (e12))))/\((~((op1 (e11) (e13)) = (e11)))\/(~((op1 (e11) (e11)) = (e13)))))))))\/((((op1 (e12) (e12)) = (e12))/\(((op1 (e12) (e12)) = (e12))/\(((~((op1 (e12) (e10)) = (e12)))\/(~((op1 (e12) (e12)) = (e10))))/\(((~((op1 (e12) (e11)) = (e12)))\/(~((op1 (e12) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13)))))))))\/((((op1 (e12) (e13)) = (e12))/\(((op1 (e13) (e12)) = (e12))/\(((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e13) (e13)) = (e10))))/\(((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11))))/\(((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e13) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13)))))))))\/((((op1 (e13) (e10)) = (e13))/\(((op1 (e10) (e13)) = (e13))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11))))/\(((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12))))/\((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))))))))\/((((op1 (e13) (e11)) = (e13))/\(((op1 (e11) (e13)) = (e13))/\(((~((op1 (e11) (e10)) = (e11)))\/(~((op1 (e11) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e11) (e12)) = (e11)))\/(~((op1 (e11) (e11)) = (e12))))/\((~((op1 (e11) (e13)) = (e11)))\/(~((op1 (e11) (e11)) = (e13)))))))))\/((((op1 (e13) (e12)) = (e13))/\(((op1 (e12) (e13)) = (e13))/\(((~((op1 (e12) (e10)) = (e12)))\/(~((op1 (e12) (e12)) = (e10))))/\(((~((op1 (e12) (e11)) = (e12)))\/(~((op1 (e12) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13)))))))))\/(((op1 (e13) (e13)) = (e13))/\(((op1 (e13) (e13)) = (e13))/\(((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e13) (e13)) = (e10))))/\(((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11))))/\(((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e13) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13)))))))))))))))))))))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e12) (e13)) = (e10))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e12) (e11)) = (e13))))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e11)) = (e12))\/((op1 (e10) (e11)) = (e13))))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> ((h2 (e13)) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((h2 (e11)) = (e21)) -> (~((h2 (op1 (e13) (e11))) = (op2 (h2 (e13)) (h2 (e11))))) -> (~((e10) = (e12))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> ((((op1 (e10) (op1 (e10) (e10))) = (e10))/\(((op1 (e10) (op1 (e10) (e11))) = (e11))/\(((op1 (e10) (op1 (e10) (e12))) = (e12))/\(((op1 (e10) (op1 (e10) (e13))) = (e13))/\(((~((op1 (e10) (e10)) = (e10)))\/((op1 (e10) (e10)) = (e10)))/\(((~((op1 (e11) (e11)) = (e10)))\/((op1 (e11) (e10)) = (e11)))/\(((~((op1 (e12) (e12)) = (e10)))\/((op1 (e12) (e10)) = (e12)))/\((~((op1 (e13) (e13)) = (e10)))\/((op1 (e13) (e10)) = (e13))))))))))\/((((op1 (e11) (op1 (e11) (e10))) = (e10))/\(((op1 (e11) (op1 (e11) (e11))) = (e11))/\(((op1 (e11) (op1 (e11) (e12))) = (e12))/\(((op1 (e11) (op1 (e11) (e13))) = (e13))/\(((~((op1 (e10) (e10)) = (e11)))\/((op1 (e10) (e11)) = (e10)))/\(((~((op1 (e11) (e11)) = (e11)))\/((op1 (e11) (e11)) = (e11)))/\(((~((op1 (e12) (e12)) = (e11)))\/((op1 (e12) (e11)) = (e12)))/\((~((op1 (e13) (e13)) = (e11)))\/((op1 (e13) (e11)) = (e13))))))))))\/((((op1 (e12) (op1 (e12) (e10))) = (e10))/\(((op1 (e12) (op1 (e12) (e11))) = (e11))/\(((op1 (e12) (op1 (e12) (e12))) = (e12))/\(((op1 (e12) (op1 (e12) (e13))) = (e13))/\(((~((op1 (e10) (e10)) = (e12)))\/((op1 (e10) (e12)) = (e10)))/\(((~((op1 (e11) (e11)) = (e12)))\/((op1 (e11) (e12)) = (e11)))/\(((~((op1 (e12) (e12)) = (e12)))\/((op1 (e12) (e12)) = (e12)))/\((~((op1 (e13) (e13)) = (e12)))\/((op1 (e13) (e12)) = (e13))))))))))\/(((op1 (e13) (op1 (e13) (e10))) = (e10))/\(((op1 (e13) (op1 (e13) (e11))) = (e11))/\(((op1 (e13) (op1 (e13) (e12))) = (e12))/\(((op1 (e13) (op1 (e13) (e13))) = (e13))/\(((~((op1 (e10) (e10)) = (e13)))\/((op1 (e10) (e13)) = (e10)))/\(((~((op1 (e11) (e11)) = (e13)))\/((op1 (e11) (e13)) = (e11)))/\(((~((op1 (e12) (e12)) = (e13)))\/((op1 (e12) (e13)) = (e12)))/\((~((op1 (e13) (e13)) = (e13)))\/((op1 (e13) (e13)) = (e13))))))))))))) -> (((op2 (e21) (e20)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/((op2 (e21) (e23)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> ((op2 (e21) (op2 (e21) (e23))) = (e23)) -> ((op2 (e21) (e21)) = (e23)) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e21)) = (e22))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> ((op2 (e22) (e21)) = (e22)) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> (((op2 (e20) (e21)) = (e20))\/(((op2 (e20) (e21)) = (e21))\/(((op2 (e20) (e21)) = (e22))\/((op2 (e20) (e21)) = (e23))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> ((e23) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((e20) = (op2 (e21) (e21))) -> ((e22) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> False).
% 55.08/55.30 do 0 intro. intros zenon_H3b7 zenon_H55 zenon_H1a0 zenon_H25 zenon_H1e zenon_H13 zenon_H15 zenon_H17 zenon_H18a zenon_H35d zenon_H2f8 zenon_H360 zenon_H2fb zenon_H15f zenon_H15a zenon_H155 zenon_H154 zenon_H14b zenon_H18e zenon_H172 zenon_H179 zenon_H180 zenon_H186 zenon_H1b1 zenon_H20c zenon_H345 zenon_H1be zenon_H313 zenon_H21a zenon_H2e7 zenon_H236 zenon_H2ad zenon_H23b zenon_H2f6 zenon_H1fd zenon_H355 zenon_H2c9 zenon_H358 zenon_H209 zenon_H1da zenon_H1d8 zenon_H245 zenon_H2d1 zenon_H1cc zenon_H2d9 zenon_H2e6 zenon_H2a3 zenon_H2e2 zenon_H2ea zenon_H19d zenon_H316 zenon_H30e zenon_H204 zenon_H30b zenon_H301 zenon_H321 zenon_H2c2 zenon_H1f4 zenon_H322 zenon_H325 zenon_H328 zenon_H2b9 zenon_H2c0 zenon_H2fd zenon_H246 zenon_H1a9 zenon_H32e zenon_H206 zenon_H32b zenon_H1f7 zenon_H1e8 zenon_H1fa zenon_H2b1 zenon_H2a5 zenon_H461 zenon_H270 zenon_H522 zenon_H16c zenon_H1de zenon_H1ed zenon_H192 zenon_H36e zenon_H399 zenon_H45 zenon_H116 zenon_H38f zenon_H394 zenon_H395 zenon_H388 zenon_H3a8 zenon_H9f zenon_H3b4 zenon_H3b1 zenon_H39d zenon_H93 zenon_Hd3 zenon_H286 zenon_H282 zenon_H8d zenon_H289 zenon_H60 zenon_H3b zenon_H33 zenon_H3f zenon_H3af.
% 55.08/55.30 apply (zenon_or_s _ _ zenon_H3b7); [ zenon_intro zenon_He5 | zenon_intro zenon_H3b8 ].
% 55.08/55.30 apply (zenon_L335_); trivial.
% 55.08/55.30 apply (zenon_or_s _ _ zenon_H3b8); [ zenon_intro zenon_He8 | zenon_intro zenon_H3b9 ].
% 55.08/55.30 apply (zenon_L958_); trivial.
% 55.08/55.30 apply (zenon_or_s _ _ zenon_H3b9); [ zenon_intro zenon_Hfb | zenon_intro zenon_H106 ].
% 55.08/55.30 apply (zenon_L342_); trivial.
% 55.08/55.30 apply (zenon_L341_); trivial.
% 55.08/55.30 (* end of lemma zenon_L959_ *)
% 55.08/55.30 assert (zenon_L960_ : (((op2 (e20) (e21)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> ((e22) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> ((e20) = (op2 (e21) (e21))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (((op2 (e20) (e21)) = (e20))\/(((op2 (e20) (e21)) = (e21))\/(((op2 (e20) (e21)) = (e22))\/((op2 (e20) (e21)) = (e23))))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> (((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e21)) = (e22))\/((op2 (e23) (e21)) = (e23))))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> ((op2 (e21) (op2 (e21) (e23))) = (e23)) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (((op2 (e21) (e20)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/((op2 (e21) (e23)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e23) (e20)))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((e22) = (e23))) -> ((op2 (e22) (e21)) = (e22)) -> ((((op1 (e10) (op1 (e10) (e10))) = (e10))/\(((op1 (e10) (op1 (e10) (e11))) = (e11))/\(((op1 (e10) (op1 (e10) (e12))) = (e12))/\(((op1 (e10) (op1 (e10) (e13))) = (e13))/\(((~((op1 (e10) (e10)) = (e10)))\/((op1 (e10) (e10)) = (e10)))/\(((~((op1 (e11) (e11)) = (e10)))\/((op1 (e11) (e10)) = (e11)))/\(((~((op1 (e12) (e12)) = (e10)))\/((op1 (e12) (e10)) = (e12)))/\((~((op1 (e13) (e13)) = (e10)))\/((op1 (e13) (e10)) = (e13))))))))))\/((((op1 (e11) (op1 (e11) (e10))) = (e10))/\(((op1 (e11) (op1 (e11) (e11))) = (e11))/\(((op1 (e11) (op1 (e11) (e12))) = (e12))/\(((op1 (e11) (op1 (e11) (e13))) = (e13))/\(((~((op1 (e10) (e10)) = (e11)))\/((op1 (e10) (e11)) = (e10)))/\(((~((op1 (e11) (e11)) = (e11)))\/((op1 (e11) (e11)) = (e11)))/\(((~((op1 (e12) (e12)) = (e11)))\/((op1 (e12) (e11)) = (e12)))/\((~((op1 (e13) (e13)) = (e11)))\/((op1 (e13) (e11)) = (e13))))))))))\/((((op1 (e12) (op1 (e12) (e10))) = (e10))/\(((op1 (e12) (op1 (e12) (e11))) = (e11))/\(((op1 (e12) (op1 (e12) (e12))) = (e12))/\(((op1 (e12) (op1 (e12) (e13))) = (e13))/\(((~((op1 (e10) (e10)) = (e12)))\/((op1 (e10) (e12)) = (e10)))/\(((~((op1 (e11) (e11)) = (e12)))\/((op1 (e11) (e12)) = (e11)))/\(((~((op1 (e12) (e12)) = (e12)))\/((op1 (e12) (e12)) = (e12)))/\((~((op1 (e13) (e13)) = (e12)))\/((op1 (e13) (e12)) = (e13))))))))))\/(((op1 (e13) (op1 (e13) (e10))) = (e10))/\(((op1 (e13) (op1 (e13) (e11))) = (e11))/\(((op1 (e13) (op1 (e13) (e12))) = (e12))/\(((op1 (e13) (op1 (e13) (e13))) = (e13))/\(((~((op1 (e10) (e10)) = (e13)))\/((op1 (e10) (e13)) = (e10)))/\(((~((op1 (e11) (e11)) = (e13)))\/((op1 (e11) (e13)) = (e11)))/\(((~((op1 (e12) (e12)) = (e13)))\/((op1 (e12) (e13)) = (e12)))/\((~((op1 (e13) (e13)) = (e13)))\/((op1 (e13) (e13)) = (e13))))))))))))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((e10) = (e12))) -> (~((h2 (op1 (e13) (e11))) = (op2 (h2 (e13)) (h2 (e11))))) -> ((h2 (e11)) = (e21)) -> ((e23) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((h2 (e13)) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (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)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (((op1 (e10) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e12) (e11)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((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 (e11) (e11)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e12) (e13)) = (e10))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> ((((op1 (e10) (e10)) = (e10))/\(((op1 (e10) (e10)) = (e10))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11))))/\(((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12))))/\((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))))))))\/((((op1 (e10) (e11)) = (e10))/\(((op1 (e11) (e10)) = (e10))/\(((~((op1 (e11) (e10)) = (e11)))\/(~((op1 (e11) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e11) (e12)) = (e11)))\/(~((op1 (e11) (e11)) = (e12))))/\((~((op1 (e11) (e13)) = (e11)))\/(~((op1 (e11) (e11)) = (e13)))))))))\/((((op1 (e10) (e12)) = (e10))/\(((op1 (e12) (e10)) = (e10))/\(((~((op1 (e12) (e10)) = (e12)))\/(~((op1 (e12) (e12)) = (e10))))/\(((~((op1 (e12) (e11)) = (e12)))\/(~((op1 (e12) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13)))))))))\/((((op1 (e10) (e13)) = (e10))/\(((op1 (e13) (e10)) = (e10))/\(((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e13) (e13)) = (e10))))/\(((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11))))/\(((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e13) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13)))))))))\/((((op1 (e11) (e10)) = (e11))/\(((op1 (e10) (e11)) = (e11))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11))))/\(((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12))))/\((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))))))))\/((((op1 (e11) (e11)) = (e11))/\(((op1 (e11) (e11)) = (e11))/\(((~((op1 (e11) (e10)) = (e11)))\/(~((op1 (e11) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e11) (e12)) = (e11)))\/(~((op1 (e11) (e11)) = (e12))))/\((~((op1 (e11) (e13)) = (e11)))\/(~((op1 (e11) (e11)) = (e13)))))))))\/((((op1 (e11) (e12)) = (e11))/\(((op1 (e12) (e11)) = (e11))/\(((~((op1 (e12) (e10)) = (e12)))\/(~((op1 (e12) (e12)) = (e10))))/\(((~((op1 (e12) (e11)) = (e12)))\/(~((op1 (e12) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13)))))))))\/((((op1 (e11) (e13)) = (e11))/\(((op1 (e13) (e11)) = (e11))/\(((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e13) (e13)) = (e10))))/\(((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11))))/\(((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e13) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13)))))))))\/((((op1 (e12) (e10)) = (e12))/\(((op1 (e10) (e12)) = (e12))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11))))/\(((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12))))/\((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))))))))\/((((op1 (e12) (e11)) = (e12))/\(((op1 (e11) (e12)) = (e12))/\(((~((op1 (e11) (e10)) = (e11)))\/(~((op1 (e11) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e11) (e12)) = (e11)))\/(~((op1 (e11) (e11)) = (e12))))/\((~((op1 (e11) (e13)) = (e11)))\/(~((op1 (e11) (e11)) = (e13)))))))))\/((((op1 (e12) (e12)) = (e12))/\(((op1 (e12) (e12)) = (e12))/\(((~((op1 (e12) (e10)) = (e12)))\/(~((op1 (e12) (e12)) = (e10))))/\(((~((op1 (e12) (e11)) = (e12)))\/(~((op1 (e12) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13)))))))))\/((((op1 (e12) (e13)) = (e12))/\(((op1 (e13) (e12)) = (e12))/\(((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e13) (e13)) = (e10))))/\(((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11))))/\(((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e13) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13)))))))))\/((((op1 (e13) (e10)) = (e13))/\(((op1 (e10) (e13)) = (e13))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11))))/\(((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12))))/\((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))))))))\/((((op1 (e13) (e11)) = (e13))/\(((op1 (e11) (e13)) = (e13))/\(((~((op1 (e11) (e10)) = (e11)))\/(~((op1 (e11) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e11) (e12)) = (e11)))\/(~((op1 (e11) (e11)) = (e12))))/\((~((op1 (e11) (e13)) = (e11)))\/(~((op1 (e11) (e11)) = (e13)))))))))\/((((op1 (e13) (e12)) = (e13))/\(((op1 (e12) (e13)) = (e13))/\(((~((op1 (e12) (e10)) = (e12)))\/(~((op1 (e12) (e12)) = (e10))))/\(((~((op1 (e12) (e11)) = (e12)))\/(~((op1 (e12) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13)))))))))\/(((op1 (e13) (e13)) = (e13))/\(((op1 (e13) (e13)) = (e13))/\(((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e13) (e13)) = (e10))))/\(((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11))))/\(((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e13) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13)))))))))))))))))))))))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((e12) = (e13))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e13)) = (e10))\/(((op1 (e13) (e13)) = (e11))\/(((op1 (e13) (e13)) = (e12))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> ((e12) = (op1 (op1 (op1 (e11) (e11)) (op1 (e11) (e11))) (op1 (e11) (e11)))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e12))\/((op1 (e11) (e10)) = (e13))))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> ((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) -> ((e10) = (op1 (e11) (e11))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> False).
% 55.08/55.30 do 0 intro. intros zenon_H3bd zenon_H3af zenon_H3f zenon_H33 zenon_H60 zenon_H289 zenon_H8d zenon_H282 zenon_H286 zenon_H93 zenon_H39d zenon_H3b1 zenon_H3b4 zenon_H9f zenon_H3a8 zenon_H395 zenon_H394 zenon_H38f zenon_H116 zenon_H45 zenon_H399 zenon_H55 zenon_H3b7 zenon_Hec zenon_Hd3 zenon_H36e zenon_H192 zenon_H1ed zenon_H1de zenon_H16c zenon_H522 zenon_H270 zenon_H3b zenon_H461 zenon_H2a5 zenon_H2b1 zenon_H1fa zenon_H1e8 zenon_H1f7 zenon_H32b zenon_H206 zenon_H32e zenon_H1a9 zenon_H246 zenon_H2fd zenon_H2c0 zenon_H2b9 zenon_H328 zenon_H325 zenon_H322 zenon_H1f4 zenon_H2c2 zenon_H321 zenon_H301 zenon_H30b zenon_H204 zenon_H30e zenon_H316 zenon_H19d zenon_H2ea zenon_H2e2 zenon_H2a3 zenon_H2e6 zenon_H2d9 zenon_H1cc zenon_H2d1 zenon_H245 zenon_H1d8 zenon_H1da zenon_H209 zenon_H358 zenon_H2c9 zenon_H355 zenon_H1fd zenon_H2f6 zenon_H23b zenon_H2ad zenon_H236 zenon_H2e7 zenon_H21a zenon_H313 zenon_H1be zenon_H345 zenon_H20c zenon_H1b1 zenon_H186 zenon_H180 zenon_H179 zenon_H172 zenon_H18e zenon_H14b zenon_H154 zenon_H155 zenon_H15a zenon_H15f zenon_H2fb zenon_H360 zenon_H2f8 zenon_H35d zenon_H18a zenon_H17 zenon_H15 zenon_H13 zenon_H1e zenon_H25 zenon_H1a0.
% 55.08/55.30 apply (zenon_or_s _ _ zenon_H3bd); [ zenon_intro zenon_H92 | zenon_intro zenon_H3be ].
% 55.08/55.30 apply (zenon_L25_); trivial.
% 55.08/55.30 apply (zenon_or_s _ _ zenon_H3be); [ zenon_intro zenon_H388 | zenon_intro zenon_H3bf ].
% 55.20/55.30 apply (zenon_L959_); trivial.
% 55.20/55.30 apply (zenon_or_s _ _ zenon_H3bf); [ zenon_intro zenon_H3ba | zenon_intro zenon_He8 ].
% 55.20/55.30 apply (zenon_L350_); trivial.
% 55.20/55.30 apply (zenon_L958_); trivial.
% 55.20/55.30 (* end of lemma zenon_L960_ *)
% 55.20/55.30 assert (zenon_L961_ : (((op2 (e20) (e20)) = (e23))\/(((op2 (e20) (e21)) = (e23))\/(((op2 (e20) (e22)) = (e23))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e22) (e23)) = (e22))) -> (~((op2 (e22) (e22)) = (e22))) -> (((op2 (e20) (e21)) = (e20))\/(((op2 (e20) (e21)) = (e21))\/(((op2 (e20) (e21)) = (e22))\/((op2 (e20) (e21)) = (e23))))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> ((e22) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> (~((e21) = (e22))) -> (~((op2 (e21) (e21)) = (e21))) -> (((op2 (e20) (e21)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e23) (e21)) = (e22))))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (~((op1 (e12) (e13)) = (e12))) -> (~((op1 (e12) (e12)) = (e12))) -> ((op1 (e11) (op1 (e11) (e13))) = (e13)) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (((op2 (e20) (e22)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e23) (e22)) = (e23))))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> ((e10) = (op1 (e11) (e11))) -> ((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e12))\/((op1 (e11) (e10)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> ((e12) = (op1 (op1 (op1 (e11) (e11)) (op1 (e11) (e11))) (op1 (e11) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e13) (e13)) = (e10))\/(((op1 (e13) (e13)) = (e11))\/(((op1 (e13) (e13)) = (e12))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((e12) = (e13))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> ((((op1 (e10) (e10)) = (e10))/\(((op1 (e10) (e10)) = (e10))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11))))/\(((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12))))/\((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))))))))\/((((op1 (e10) (e11)) = (e10))/\(((op1 (e11) (e10)) = (e10))/\(((~((op1 (e11) (e10)) = (e11)))\/(~((op1 (e11) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e11) (e12)) = (e11)))\/(~((op1 (e11) (e11)) = (e12))))/\((~((op1 (e11) (e13)) = (e11)))\/(~((op1 (e11) (e11)) = (e13)))))))))\/((((op1 (e10) (e12)) = (e10))/\(((op1 (e12) (e10)) = (e10))/\(((~((op1 (e12) (e10)) = (e12)))\/(~((op1 (e12) (e12)) = (e10))))/\(((~((op1 (e12) (e11)) = (e12)))\/(~((op1 (e12) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13)))))))))\/((((op1 (e10) (e13)) = (e10))/\(((op1 (e13) (e10)) = (e10))/\(((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e13) (e13)) = (e10))))/\(((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11))))/\(((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e13) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13)))))))))\/((((op1 (e11) (e10)) = (e11))/\(((op1 (e10) (e11)) = (e11))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11))))/\(((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12))))/\((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))))))))\/((((op1 (e11) (e11)) = (e11))/\(((op1 (e11) (e11)) = (e11))/\(((~((op1 (e11) (e10)) = (e11)))\/(~((op1 (e11) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e11) (e12)) = (e11)))\/(~((op1 (e11) (e11)) = (e12))))/\((~((op1 (e11) (e13)) = (e11)))\/(~((op1 (e11) (e11)) = (e13)))))))))\/((((op1 (e11) (e12)) = (e11))/\(((op1 (e12) (e11)) = (e11))/\(((~((op1 (e12) (e10)) = (e12)))\/(~((op1 (e12) (e12)) = (e10))))/\(((~((op1 (e12) (e11)) = (e12)))\/(~((op1 (e12) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13)))))))))\/((((op1 (e11) (e13)) = (e11))/\(((op1 (e13) (e11)) = (e11))/\(((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e13) (e13)) = (e10))))/\(((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11))))/\(((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e13) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13)))))))))\/((((op1 (e12) (e10)) = (e12))/\(((op1 (e10) (e12)) = (e12))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11))))/\(((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12))))/\((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))))))))\/((((op1 (e12) (e11)) = (e12))/\(((op1 (e11) (e12)) = (e12))/\(((~((op1 (e11) (e10)) = (e11)))\/(~((op1 (e11) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e11) (e12)) = (e11)))\/(~((op1 (e11) (e11)) = (e12))))/\((~((op1 (e11) (e13)) = (e11)))\/(~((op1 (e11) (e11)) = (e13)))))))))\/((((op1 (e12) (e12)) = (e12))/\(((op1 (e12) (e12)) = (e12))/\(((~((op1 (e12) (e10)) = (e12)))\/(~((op1 (e12) (e12)) = (e10))))/\(((~((op1 (e12) (e11)) = (e12)))\/(~((op1 (e12) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13)))))))))\/((((op1 (e12) (e13)) = (e12))/\(((op1 (e13) (e12)) = (e12))/\(((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e13) (e13)) = (e10))))/\(((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11))))/\(((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e13) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13)))))))))\/((((op1 (e13) (e10)) = (e13))/\(((op1 (e10) (e13)) = (e13))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11))))/\(((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12))))/\((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))))))))\/((((op1 (e13) (e11)) = (e13))/\(((op1 (e11) (e13)) = (e13))/\(((~((op1 (e11) (e10)) = (e11)))\/(~((op1 (e11) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e11) (e12)) = (e11)))\/(~((op1 (e11) (e11)) = (e12))))/\((~((op1 (e11) (e13)) = (e11)))\/(~((op1 (e11) (e11)) = (e13)))))))))\/((((op1 (e13) (e12)) = (e13))/\(((op1 (e12) (e13)) = (e13))/\(((~((op1 (e12) (e10)) = (e12)))\/(~((op1 (e12) (e12)) = (e10))))/\(((~((op1 (e12) (e11)) = (e12)))\/(~((op1 (e12) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13)))))))))\/(((op1 (e13) (e13)) = (e13))/\(((op1 (e13) (e13)) = (e13))/\(((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e13) (e13)) = (e10))))/\(((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11))))/\(((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e13) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13)))))))))))))))))))))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e12) (e13)) = (e10))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e12) (e11)) = (e13))))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e11)) = (e12))\/((op1 (e10) (e11)) = (e13))))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> ((h2 (e13)) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((h2 (e11)) = (e21)) -> (~((h2 (op1 (e13) (e11))) = (op2 (h2 (e13)) (h2 (e11))))) -> (~((e10) = (e12))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> ((((op1 (e10) (op1 (e10) (e10))) = (e10))/\(((op1 (e10) (op1 (e10) (e11))) = (e11))/\(((op1 (e10) (op1 (e10) (e12))) = (e12))/\(((op1 (e10) (op1 (e10) (e13))) = (e13))/\(((~((op1 (e10) (e10)) = (e10)))\/((op1 (e10) (e10)) = (e10)))/\(((~((op1 (e11) (e11)) = (e10)))\/((op1 (e11) (e10)) = (e11)))/\(((~((op1 (e12) (e12)) = (e10)))\/((op1 (e12) (e10)) = (e12)))/\((~((op1 (e13) (e13)) = (e10)))\/((op1 (e13) (e10)) = (e13))))))))))\/((((op1 (e11) (op1 (e11) (e10))) = (e10))/\(((op1 (e11) (op1 (e11) (e11))) = (e11))/\(((op1 (e11) (op1 (e11) (e12))) = (e12))/\(((op1 (e11) (op1 (e11) (e13))) = (e13))/\(((~((op1 (e10) (e10)) = (e11)))\/((op1 (e10) (e11)) = (e10)))/\(((~((op1 (e11) (e11)) = (e11)))\/((op1 (e11) (e11)) = (e11)))/\(((~((op1 (e12) (e12)) = (e11)))\/((op1 (e12) (e11)) = (e12)))/\((~((op1 (e13) (e13)) = (e11)))\/((op1 (e13) (e11)) = (e13))))))))))\/((((op1 (e12) (op1 (e12) (e10))) = (e10))/\(((op1 (e12) (op1 (e12) (e11))) = (e11))/\(((op1 (e12) (op1 (e12) (e12))) = (e12))/\(((op1 (e12) (op1 (e12) (e13))) = (e13))/\(((~((op1 (e10) (e10)) = (e12)))\/((op1 (e10) (e12)) = (e10)))/\(((~((op1 (e11) (e11)) = (e12)))\/((op1 (e11) (e12)) = (e11)))/\(((~((op1 (e12) (e12)) = (e12)))\/((op1 (e12) (e12)) = (e12)))/\((~((op1 (e13) (e13)) = (e12)))\/((op1 (e13) (e12)) = (e13))))))))))\/(((op1 (e13) (op1 (e13) (e10))) = (e10))/\(((op1 (e13) (op1 (e13) (e11))) = (e11))/\(((op1 (e13) (op1 (e13) (e12))) = (e12))/\(((op1 (e13) (op1 (e13) (e13))) = (e13))/\(((~((op1 (e10) (e10)) = (e13)))\/((op1 (e10) (e13)) = (e10)))/\(((~((op1 (e11) (e11)) = (e13)))\/((op1 (e11) (e13)) = (e11)))/\(((~((op1 (e12) (e12)) = (e13)))\/((op1 (e12) (e13)) = (e12)))/\((~((op1 (e13) (e13)) = (e13)))\/((op1 (e13) (e13)) = (e13))))))))))))) -> (~((e22) = (e23))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e23) (e20)))) -> (((op2 (e21) (e20)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/((op2 (e21) (e23)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> ((op2 (e21) (op2 (e21) (e23))) = (e23)) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e21)) = (e22))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e21)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e22)))) -> ((e23) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((e20) = (op2 (e21) (e21))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> False).
% 55.20/55.30 do 0 intro. intros zenon_Ha5 zenon_H281 zenon_Hd7 zenon_H289 zenon_H8d zenon_H282 zenon_H286 zenon_Hb0 zenon_H3f zenon_Hf1 zenon_H27e zenon_H28d zenon_H3fd zenon_H3cb zenon_H27d zenon_H1d1 zenon_H29e zenon_Hfc zenon_H437 zenon_H43a zenon_H1a0 zenon_H25 zenon_H1e zenon_H13 zenon_H15 zenon_H17 zenon_H18a zenon_H35d zenon_H2f8 zenon_H360 zenon_H2fb zenon_H15f zenon_H15a zenon_H155 zenon_H154 zenon_H14b zenon_H18e zenon_H172 zenon_H179 zenon_H180 zenon_H186 zenon_H1b1 zenon_H20c zenon_H345 zenon_H1be zenon_H313 zenon_H21a zenon_H2e7 zenon_H236 zenon_H2ad zenon_H23b zenon_H2f6 zenon_H1fd zenon_H355 zenon_H2c9 zenon_H358 zenon_H209 zenon_H1da zenon_H1d8 zenon_H245 zenon_H2d1 zenon_H1cc zenon_H2d9 zenon_H2e6 zenon_H2a3 zenon_H2e2 zenon_H2ea zenon_H19d zenon_H316 zenon_H30e zenon_H204 zenon_H30b zenon_H301 zenon_H321 zenon_H2c2 zenon_H1f4 zenon_H322 zenon_H325 zenon_H328 zenon_H2b9 zenon_H2c0 zenon_H2fd zenon_H246 zenon_H1a9 zenon_H32e zenon_H206 zenon_H32b zenon_H1f7 zenon_H1e8 zenon_H1fa zenon_H2b1 zenon_H2a5 zenon_H461 zenon_H270 zenon_H522 zenon_H16c zenon_H1de zenon_H1ed zenon_H192 zenon_H36e zenon_Hec zenon_H3b7 zenon_H55 zenon_H399 zenon_H45 zenon_H116 zenon_H38f zenon_H394 zenon_H395 zenon_H3a8 zenon_H3b4 zenon_H3b1 zenon_H39d zenon_H3af zenon_H3bd zenon_H60 zenon_H28c zenon_H93 zenon_H98 zenon_H3b zenon_H33 zenon_H9f.
% 55.20/55.30 apply (zenon_or_s _ _ zenon_Ha5); [ zenon_intro zenon_Ha8 | zenon_intro zenon_Ha7 ].
% 55.20/55.30 apply (zenon_or_s _ _ zenon_H28c); [ zenon_intro zenon_Hb9 | zenon_intro zenon_H28e ].
% 55.20/55.30 apply (zenon_or_s _ _ zenon_H3fd); [ zenon_intro zenon_H285 | zenon_intro zenon_H3ff ].
% 55.20/55.30 apply (zenon_L572_); trivial.
% 55.20/55.30 apply (zenon_or_s _ _ zenon_H3ff); [ zenon_intro zenon_H401 | zenon_intro zenon_H400 ].
% 55.20/55.30 apply (zenon_L954_); trivial.
% 55.20/55.30 apply (zenon_or_s _ _ zenon_H400); [ zenon_intro zenon_Hd3 | zenon_intro zenon_H5f ].
% 55.20/55.30 apply (zenon_L960_); trivial.
% 55.20/55.30 apply (zenon_L15_); trivial.
% 55.20/55.30 apply (zenon_or_s _ _ zenon_H28e); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H28f ].
% 55.20/55.30 exact (zenon_H28d zenon_Hc3).
% 55.20/55.30 apply (zenon_or_s _ _ zenon_H28f); [ zenon_intro zenon_H27f | zenon_intro zenon_H283 ].
% 55.20/55.30 apply (zenon_L134_); trivial.
% 55.20/55.30 apply (zenon_L138_); trivial.
% 55.20/55.30 apply (zenon_or_s _ _ zenon_Ha7); [ zenon_intro zenon_H92 | zenon_intro zenon_Ha9 ].
% 55.20/55.30 apply (zenon_L25_); trivial.
% 55.20/55.30 apply (zenon_or_s _ _ zenon_Ha9); [ zenon_intro zenon_H97 | zenon_intro zenon_H9e ].
% 55.20/55.30 apply (zenon_L26_); trivial.
% 55.20/55.30 apply (zenon_L27_); trivial.
% 55.20/55.30 (* end of lemma zenon_L961_ *)
% 55.20/55.30 assert (zenon_L962_ : ((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13)))) -> (~((op1 (e12) (e12)) = (e11))) -> ((op1 (e10) (e12)) = (e10)) -> ((op1 (e12) (e10)) = (e10)) -> ((op1 (e11) (op1 (e11) (e10))) = (e10)) -> (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> (~((e21) = (e22))) -> (~((op2 (e21) (e21)) = (e21))) -> (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> (~((op2 (e22) (e23)) = (e22))) -> (~((op2 (e22) (e22)) = (e22))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> ((e20) = (op2 (e21) (e21))) -> ((e23) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((e22) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> (((op2 (e20) (e22)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e23) (e22)) = (e23))))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e20)) = (op2 (e23) (e20)))) -> (~((op1 (e12) (e12)) = (e12))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e12))\/((op1 (e11) (e10)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((e12) = (e13))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> ((op1 (e11) (op1 (e11) (e13))) = (e13)) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (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 (e12) (e11)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e11)) = (e12))\/((op1 (e10) (e11)) = (e13))))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> ((h2 (e13)) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((h2 (e11)) = (e21)) -> (~((h2 (op1 (e13) (e11))) = (op2 (h2 (e13)) (h2 (e11))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((e10) = (e12))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> ((((op1 (e10) (e10)) = (e10))/\(((op1 (e10) (e10)) = (e10))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11))))/\(((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12))))/\((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))))))))\/((((op1 (e10) (e11)) = (e10))/\(((op1 (e11) (e10)) = (e10))/\(((~((op1 (e11) (e10)) = (e11)))\/(~((op1 (e11) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e11) (e12)) = (e11)))\/(~((op1 (e11) (e11)) = (e12))))/\((~((op1 (e11) (e13)) = (e11)))\/(~((op1 (e11) (e11)) = (e13)))))))))\/((((op1 (e10) (e12)) = (e10))/\(((op1 (e12) (e10)) = (e10))/\(((~((op1 (e12) (e10)) = (e12)))\/(~((op1 (e12) (e12)) = (e10))))/\(((~((op1 (e12) (e11)) = (e12)))\/(~((op1 (e12) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13)))))))))\/((((op1 (e10) (e13)) = (e10))/\(((op1 (e13) (e10)) = (e10))/\(((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e13) (e13)) = (e10))))/\(((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11))))/\(((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e13) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13)))))))))\/((((op1 (e11) (e10)) = (e11))/\(((op1 (e10) (e11)) = (e11))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11))))/\(((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12))))/\((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))))))))\/((((op1 (e11) (e11)) = (e11))/\(((op1 (e11) (e11)) = (e11))/\(((~((op1 (e11) (e10)) = (e11)))\/(~((op1 (e11) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e11) (e12)) = (e11)))\/(~((op1 (e11) (e11)) = (e12))))/\((~((op1 (e11) (e13)) = (e11)))\/(~((op1 (e11) (e11)) = (e13)))))))))\/((((op1 (e11) (e12)) = (e11))/\(((op1 (e12) (e11)) = (e11))/\(((~((op1 (e12) (e10)) = (e12)))\/(~((op1 (e12) (e12)) = (e10))))/\(((~((op1 (e12) (e11)) = (e12)))\/(~((op1 (e12) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13)))))))))\/((((op1 (e11) (e13)) = (e11))/\(((op1 (e13) (e11)) = (e11))/\(((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e13) (e13)) = (e10))))/\(((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11))))/\(((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e13) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13)))))))))\/((((op1 (e12) (e10)) = (e12))/\(((op1 (e10) (e12)) = (e12))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11))))/\(((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12))))/\((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))))))))\/((((op1 (e12) (e11)) = (e12))/\(((op1 (e11) (e12)) = (e12))/\(((~((op1 (e11) (e10)) = (e11)))\/(~((op1 (e11) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e11) (e12)) = (e11)))\/(~((op1 (e11) (e11)) = (e12))))/\((~((op1 (e11) (e13)) = (e11)))\/(~((op1 (e11) (e11)) = (e13)))))))))\/((((op1 (e12) (e12)) = (e12))/\(((op1 (e12) (e12)) = (e12))/\(((~((op1 (e12) (e10)) = (e12)))\/(~((op1 (e12) (e12)) = (e10))))/\(((~((op1 (e12) (e11)) = (e12)))\/(~((op1 (e12) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13)))))))))\/((((op1 (e12) (e13)) = (e12))/\(((op1 (e13) (e12)) = (e12))/\(((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e13) (e13)) = (e10))))/\(((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11))))/\(((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e13) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13)))))))))\/((((op1 (e13) (e10)) = (e13))/\(((op1 (e10) (e13)) = (e13))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11))))/\(((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12))))/\((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))))))))\/((((op1 (e13) (e11)) = (e13))/\(((op1 (e11) (e13)) = (e13))/\(((~((op1 (e11) (e10)) = (e11)))\/(~((op1 (e11) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e11) (e12)) = (e11)))\/(~((op1 (e11) (e11)) = (e12))))/\((~((op1 (e11) (e13)) = (e11)))\/(~((op1 (e11) (e11)) = (e13)))))))))\/((((op1 (e13) (e12)) = (e13))/\(((op1 (e12) (e13)) = (e13))/\(((~((op1 (e12) (e10)) = (e12)))\/(~((op1 (e12) (e12)) = (e10))))/\(((~((op1 (e12) (e11)) = (e12)))\/(~((op1 (e12) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13)))))))))\/(((op1 (e13) (e13)) = (e13))/\(((op1 (e13) (e13)) = (e13))/\(((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e13) (e13)) = (e10))))/\(((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11))))/\(((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e13) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13)))))))))))))))))))))))) -> ((e10) = (op1 (e11) (e11))) -> ((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) -> ((e12) = (op1 (op1 (op1 (e11) (e11)) (op1 (e11) (e11))) (op1 (e11) (e11)))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e21)) = (e22))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e22)))) -> (((op2 (e20) (e21)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/((op2 (e23) (e21)) = (e23))))) -> (~((e22) = (e23))) -> ((((op1 (e10) (op1 (e10) (e10))) = (e10))/\(((op1 (e10) (op1 (e10) (e11))) = (e11))/\(((op1 (e10) (op1 (e10) (e12))) = (e12))/\(((op1 (e10) (op1 (e10) (e13))) = (e13))/\(((~((op1 (e10) (e10)) = (e10)))\/((op1 (e10) (e10)) = (e10)))/\(((~((op1 (e11) (e11)) = (e10)))\/((op1 (e11) (e10)) = (e11)))/\(((~((op1 (e12) (e12)) = (e10)))\/((op1 (e12) (e10)) = (e12)))/\((~((op1 (e13) (e13)) = (e10)))\/((op1 (e13) (e10)) = (e13))))))))))\/((((op1 (e11) (op1 (e11) (e10))) = (e10))/\(((op1 (e11) (op1 (e11) (e11))) = (e11))/\(((op1 (e11) (op1 (e11) (e12))) = (e12))/\(((op1 (e11) (op1 (e11) (e13))) = (e13))/\(((~((op1 (e10) (e10)) = (e11)))\/((op1 (e10) (e11)) = (e10)))/\(((~((op1 (e11) (e11)) = (e11)))\/((op1 (e11) (e11)) = (e11)))/\(((~((op1 (e12) (e12)) = (e11)))\/((op1 (e12) (e11)) = (e12)))/\((~((op1 (e13) (e13)) = (e11)))\/((op1 (e13) (e11)) = (e13))))))))))\/((((op1 (e12) (op1 (e12) (e10))) = (e10))/\(((op1 (e12) (op1 (e12) (e11))) = (e11))/\(((op1 (e12) (op1 (e12) (e12))) = (e12))/\(((op1 (e12) (op1 (e12) (e13))) = (e13))/\(((~((op1 (e10) (e10)) = (e12)))\/((op1 (e10) (e12)) = (e10)))/\(((~((op1 (e11) (e11)) = (e12)))\/((op1 (e11) (e12)) = (e11)))/\(((~((op1 (e12) (e12)) = (e12)))\/((op1 (e12) (e12)) = (e12)))/\((~((op1 (e13) (e13)) = (e12)))\/((op1 (e13) (e12)) = (e13))))))))))\/(((op1 (e13) (op1 (e13) (e10))) = (e10))/\(((op1 (e13) (op1 (e13) (e11))) = (e11))/\(((op1 (e13) (op1 (e13) (e12))) = (e12))/\(((op1 (e13) (op1 (e13) (e13))) = (e13))/\(((~((op1 (e10) (e10)) = (e13)))\/((op1 (e10) (e13)) = (e10)))/\(((~((op1 (e11) (e11)) = (e13)))\/((op1 (e11) (e13)) = (e11)))/\(((~((op1 (e12) (e12)) = (e13)))\/((op1 (e12) (e13)) = (e12)))/\((~((op1 (e13) (e13)) = (e13)))\/((op1 (e13) (e13)) = (e13))))))))))))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e12) (e13)) = (e10))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e12) (e11)) = (e13))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (((op1 (e13) (e13)) = (e10))\/(((op1 (e13) (e13)) = (e11))\/(((op1 (e13) (e13)) = (e12))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (((op2 (e20) (e21)) = (e20))\/(((op2 (e20) (e21)) = (e21))\/(((op2 (e20) (e21)) = (e22))\/((op2 (e20) (e21)) = (e23))))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> ((op2 (e21) (op2 (e21) (e23))) = (e23)) -> (((op2 (e21) (e20)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/((op2 (e21) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> (((op2 (e20) (e21)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e23) (e21)) = (e22))))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e20) (e21)) = (e23))\/(((op2 (e20) (e22)) = (e23))\/((op2 (e20) (e23)) = (e23))))) -> False).
% 55.20/55.30 do 0 intro. intros zenon_H22c zenon_H23f zenon_H18f zenon_H293 zenon_H292 zenon_H28c zenon_H27e zenon_H28d zenon_Hf1 zenon_H281 zenon_Hd7 zenon_H286 zenon_H33 zenon_H3b zenon_H3f zenon_Hb0 zenon_H43a zenon_H3cb zenon_H55 zenon_H1d1 zenon_H15f zenon_H15a zenon_H154 zenon_H14b zenon_H313 zenon_H2ad zenon_H236 zenon_H1be zenon_H19d zenon_H316 zenon_H360 zenon_H1cc zenon_H18a zenon_H1fd zenon_H172 zenon_H29e zenon_H2f8 zenon_H301 zenon_H23b zenon_H204 zenon_H179 zenon_H180 zenon_H186 zenon_H206 zenon_H1d8 zenon_H461 zenon_H270 zenon_H522 zenon_H1b1 zenon_H2b9 zenon_H2e7 zenon_H17 zenon_H1e zenon_H25 zenon_H1a0 zenon_H16c zenon_H1a9 zenon_H1f4 zenon_H2c0 zenon_H2c2 zenon_H245 zenon_H13 zenon_H15 zenon_H155 zenon_H21a zenon_Hfc zenon_H3b1 zenon_H3af zenon_H60 zenon_H282 zenon_H39d zenon_H3b7 zenon_H437 zenon_H98 zenon_H3bd zenon_Hec zenon_H36e zenon_H358 zenon_H355 zenon_H345 zenon_H35d zenon_H2d1 zenon_H2c9 zenon_H2d9 zenon_H2e6 zenon_H2e2 zenon_H2ea zenon_H30e zenon_H30b zenon_H321 zenon_H322 zenon_H325 zenon_H328 zenon_H2f6 zenon_H2fb zenon_H2fd zenon_H32e zenon_H32b zenon_H2b1 zenon_H2a5 zenon_H2a3 zenon_H20c zenon_H1de zenon_H1da zenon_H1e8 zenon_H1ed zenon_H1f7 zenon_H1fa zenon_H209 zenon_H246 zenon_H192 zenon_H18e zenon_H3b4 zenon_H289 zenon_H8d zenon_H45 zenon_H116 zenon_H38f zenon_H394 zenon_H395 zenon_H399 zenon_H3a8 zenon_H9f zenon_H93 zenon_H3fd zenon_Ha5.
% 55.20/55.30 apply (zenon_or_s _ _ zenon_H22c); [ zenon_intro zenon_H27d | zenon_intro zenon_H29d ].
% 55.20/55.30 apply (zenon_L961_); trivial.
% 55.20/55.30 apply (zenon_L144_); trivial.
% 55.20/55.30 (* end of lemma zenon_L962_ *)
% 55.20/55.30 assert (zenon_L963_ : ((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12)))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e20) (e21)) = (e23))\/(((op2 (e20) (e22)) = (e23))\/((op2 (e20) (e23)) = (e23))))) -> (((op2 (e20) (e21)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e23) (e21)) = (e22))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (((op2 (e21) (e20)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/((op2 (e21) (e23)) = (e23))))) -> ((op2 (e21) (op2 (e21) (e23))) = (e23)) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> (((op2 (e20) (e21)) = (e20))\/(((op2 (e20) (e21)) = (e21))\/(((op2 (e20) (e21)) = (e22))\/((op2 (e20) (e21)) = (e23))))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e13) (e13)) = (e10))\/(((op1 (e13) (e13)) = (e11))\/(((op1 (e13) (e13)) = (e12))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (((op1 (e10) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e12) (e11)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e12) (e13)) = (e10))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> ((((op1 (e10) (op1 (e10) (e10))) = (e10))/\(((op1 (e10) (op1 (e10) (e11))) = (e11))/\(((op1 (e10) (op1 (e10) (e12))) = (e12))/\(((op1 (e10) (op1 (e10) (e13))) = (e13))/\(((~((op1 (e10) (e10)) = (e10)))\/((op1 (e10) (e10)) = (e10)))/\(((~((op1 (e11) (e11)) = (e10)))\/((op1 (e11) (e10)) = (e11)))/\(((~((op1 (e12) (e12)) = (e10)))\/((op1 (e12) (e10)) = (e12)))/\((~((op1 (e13) (e13)) = (e10)))\/((op1 (e13) (e10)) = (e13))))))))))\/((((op1 (e11) (op1 (e11) (e10))) = (e10))/\(((op1 (e11) (op1 (e11) (e11))) = (e11))/\(((op1 (e11) (op1 (e11) (e12))) = (e12))/\(((op1 (e11) (op1 (e11) (e13))) = (e13))/\(((~((op1 (e10) (e10)) = (e11)))\/((op1 (e10) (e11)) = (e10)))/\(((~((op1 (e11) (e11)) = (e11)))\/((op1 (e11) (e11)) = (e11)))/\(((~((op1 (e12) (e12)) = (e11)))\/((op1 (e12) (e11)) = (e12)))/\((~((op1 (e13) (e13)) = (e11)))\/((op1 (e13) (e11)) = (e13))))))))))\/((((op1 (e12) (op1 (e12) (e10))) = (e10))/\(((op1 (e12) (op1 (e12) (e11))) = (e11))/\(((op1 (e12) (op1 (e12) (e12))) = (e12))/\(((op1 (e12) (op1 (e12) (e13))) = (e13))/\(((~((op1 (e10) (e10)) = (e12)))\/((op1 (e10) (e12)) = (e10)))/\(((~((op1 (e11) (e11)) = (e12)))\/((op1 (e11) (e12)) = (e11)))/\(((~((op1 (e12) (e12)) = (e12)))\/((op1 (e12) (e12)) = (e12)))/\((~((op1 (e13) (e13)) = (e12)))\/((op1 (e13) (e12)) = (e13))))))))))\/(((op1 (e13) (op1 (e13) (e10))) = (e10))/\(((op1 (e13) (op1 (e13) (e11))) = (e11))/\(((op1 (e13) (op1 (e13) (e12))) = (e12))/\(((op1 (e13) (op1 (e13) (e13))) = (e13))/\(((~((op1 (e10) (e10)) = (e13)))\/((op1 (e10) (e13)) = (e10)))/\(((~((op1 (e11) (e11)) = (e13)))\/((op1 (e11) (e13)) = (e11)))/\(((~((op1 (e12) (e12)) = (e13)))\/((op1 (e12) (e13)) = (e12)))/\((~((op1 (e13) (e13)) = (e13)))\/((op1 (e13) (e13)) = (e13))))))))))))) -> (~((e22) = (e23))) -> (((op2 (e20) (e21)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e22)))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e21)) = (e22))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> ((e12) = (op1 (op1 (op1 (e11) (e11)) (op1 (e11) (e11))) (op1 (e11) (e11)))) -> ((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) -> ((e10) = (op1 (e11) (e11))) -> ((((op1 (e10) (e10)) = (e10))/\(((op1 (e10) (e10)) = (e10))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11))))/\(((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12))))/\((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))))))))\/((((op1 (e10) (e11)) = (e10))/\(((op1 (e11) (e10)) = (e10))/\(((~((op1 (e11) (e10)) = (e11)))\/(~((op1 (e11) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e11) (e12)) = (e11)))\/(~((op1 (e11) (e11)) = (e12))))/\((~((op1 (e11) (e13)) = (e11)))\/(~((op1 (e11) (e11)) = (e13)))))))))\/((((op1 (e10) (e12)) = (e10))/\(((op1 (e12) (e10)) = (e10))/\(((~((op1 (e12) (e10)) = (e12)))\/(~((op1 (e12) (e12)) = (e10))))/\(((~((op1 (e12) (e11)) = (e12)))\/(~((op1 (e12) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13)))))))))\/((((op1 (e10) (e13)) = (e10))/\(((op1 (e13) (e10)) = (e10))/\(((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e13) (e13)) = (e10))))/\(((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11))))/\(((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e13) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13)))))))))\/((((op1 (e11) (e10)) = (e11))/\(((op1 (e10) (e11)) = (e11))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11))))/\(((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12))))/\((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))))))))\/((((op1 (e11) (e11)) = (e11))/\(((op1 (e11) (e11)) = (e11))/\(((~((op1 (e11) (e10)) = (e11)))\/(~((op1 (e11) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e11) (e12)) = (e11)))\/(~((op1 (e11) (e11)) = (e12))))/\((~((op1 (e11) (e13)) = (e11)))\/(~((op1 (e11) (e11)) = (e13)))))))))\/((((op1 (e11) (e12)) = (e11))/\(((op1 (e12) (e11)) = (e11))/\(((~((op1 (e12) (e10)) = (e12)))\/(~((op1 (e12) (e12)) = (e10))))/\(((~((op1 (e12) (e11)) = (e12)))\/(~((op1 (e12) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13)))))))))\/((((op1 (e11) (e13)) = (e11))/\(((op1 (e13) (e11)) = (e11))/\(((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e13) (e13)) = (e10))))/\(((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11))))/\(((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e13) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13)))))))))\/((((op1 (e12) (e10)) = (e12))/\(((op1 (e10) (e12)) = (e12))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11))))/\(((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12))))/\((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))))))))\/((((op1 (e12) (e11)) = (e12))/\(((op1 (e11) (e12)) = (e12))/\(((~((op1 (e11) (e10)) = (e11)))\/(~((op1 (e11) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e11) (e12)) = (e11)))\/(~((op1 (e11) (e11)) = (e12))))/\((~((op1 (e11) (e13)) = (e11)))\/(~((op1 (e11) (e11)) = (e13)))))))))\/((((op1 (e12) (e12)) = (e12))/\(((op1 (e12) (e12)) = (e12))/\(((~((op1 (e12) (e10)) = (e12)))\/(~((op1 (e12) (e12)) = (e10))))/\(((~((op1 (e12) (e11)) = (e12)))\/(~((op1 (e12) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13)))))))))\/((((op1 (e12) (e13)) = (e12))/\(((op1 (e13) (e12)) = (e12))/\(((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e13) (e13)) = (e10))))/\(((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11))))/\(((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e13) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13)))))))))\/((((op1 (e13) (e10)) = (e13))/\(((op1 (e10) (e13)) = (e13))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11))))/\(((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12))))/\((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))))))))\/((((op1 (e13) (e11)) = (e13))/\(((op1 (e11) (e13)) = (e13))/\(((~((op1 (e11) (e10)) = (e11)))\/(~((op1 (e11) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e11) (e12)) = (e11)))\/(~((op1 (e11) (e11)) = (e12))))/\((~((op1 (e11) (e13)) = (e11)))\/(~((op1 (e11) (e11)) = (e13)))))))))\/((((op1 (e13) (e12)) = (e13))/\(((op1 (e12) (e13)) = (e13))/\(((~((op1 (e12) (e10)) = (e12)))\/(~((op1 (e12) (e12)) = (e10))))/\(((~((op1 (e12) (e11)) = (e12)))\/(~((op1 (e12) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13)))))))))\/(((op1 (e13) (e13)) = (e13))/\(((op1 (e13) (e13)) = (e13))/\(((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e13) (e13)) = (e10))))/\(((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11))))/\(((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e13) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13)))))))))))))))))))))))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((e10) = (e12))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (~((h2 (op1 (e13) (e11))) = (op2 (h2 (e13)) (h2 (e11))))) -> ((h2 (e11)) = (e21)) -> ((h2 (e13)) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e11)) = (e12))\/((op1 (e10) (e11)) = (e13))))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> ((op1 (e11) (op1 (e11) (e13))) = (e13)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((e12) = (e13))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e12))\/((op1 (e11) (e10)) = (e13))))) -> (~((op2 (e20) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e20) (e22)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e23) (e22)) = (e23))))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> ((e22) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> ((e23) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((e20) = (op2 (e21) (e21))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (~((op2 (e22) (e22)) = (e22))) -> (~((op2 (e22) (e23)) = (e22))) -> (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> (~((op2 (e21) (e21)) = (e21))) -> (~((e21) = (e22))) -> (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> ((op1 (e11) (op1 (e11) (e10))) = (e10)) -> ((op1 (e12) (e10)) = (e10)) -> ((op1 (e10) (e12)) = (e10)) -> (~((op1 (e12) (e12)) = (e11))) -> ((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13)))) -> False).
% 55.20/55.31 do 0 intro. intros zenon_H224 zenon_Ha5 zenon_H3fd zenon_H93 zenon_H9f zenon_H3a8 zenon_H399 zenon_H395 zenon_H394 zenon_H38f zenon_H116 zenon_H45 zenon_H8d zenon_H289 zenon_H3b4 zenon_H18e zenon_H192 zenon_H246 zenon_H209 zenon_H1fa zenon_H1f7 zenon_H1ed zenon_H1e8 zenon_H1da zenon_H1de zenon_H20c zenon_H2a3 zenon_H2a5 zenon_H2b1 zenon_H32b zenon_H32e zenon_H2fd zenon_H2fb zenon_H2f6 zenon_H328 zenon_H325 zenon_H322 zenon_H321 zenon_H30b zenon_H30e zenon_H2ea zenon_H2e2 zenon_H2e6 zenon_H2d9 zenon_H2c9 zenon_H2d1 zenon_H35d zenon_H345 zenon_H355 zenon_H358 zenon_H36e zenon_Hec zenon_H3bd zenon_H98 zenon_H437 zenon_H3b7 zenon_H39d zenon_H282 zenon_H60 zenon_H3af zenon_H3b1 zenon_Hfc zenon_H21a zenon_H155 zenon_H15 zenon_H13 zenon_H245 zenon_H2c2 zenon_H2c0 zenon_H1f4 zenon_H1a9 zenon_H16c zenon_H1a0 zenon_H25 zenon_H1e zenon_H17 zenon_H2e7 zenon_H2b9 zenon_H1b1 zenon_H522 zenon_H270 zenon_H461 zenon_H1d8 zenon_H206 zenon_H186 zenon_H180 zenon_H179 zenon_H204 zenon_H23b zenon_H301 zenon_H2f8 zenon_H29e zenon_H172 zenon_H1fd zenon_H18a zenon_H1cc zenon_H360 zenon_H316 zenon_H19d zenon_H1be zenon_H236 zenon_H2ad zenon_H313 zenon_H14b zenon_H154 zenon_H15a zenon_H15f zenon_H55 zenon_H3cb zenon_H43a zenon_Hb0 zenon_H3f zenon_H3b zenon_H33 zenon_H286 zenon_Hd7 zenon_H281 zenon_Hf1 zenon_H28d zenon_H27e zenon_H28c zenon_H292 zenon_H293 zenon_H18f zenon_H23f zenon_H22c.
% 55.20/55.31 apply (zenon_or_s _ _ zenon_H224); [ zenon_intro zenon_H1d1 | zenon_intro zenon_H1d1 ].
% 55.20/55.31 apply (zenon_L962_); trivial.
% 55.20/55.31 apply (zenon_L962_); trivial.
% 55.20/55.31 (* end of lemma zenon_L963_ *)
% 55.20/55.31 assert (zenon_L964_ : (((op1 (e10) (e12)) = (e10))/\(((op1 (e12) (e10)) = (e10))/\(((~((op1 (e12) (e10)) = (e12)))\/(~((op1 (e12) (e12)) = (e10))))/\(((~((op1 (e12) (e11)) = (e12)))\/(~((op1 (e12) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13))))))))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e20) (e21)) = (e23))\/(((op2 (e20) (e22)) = (e23))\/((op2 (e20) (e23)) = (e23))))) -> (((op2 (e20) (e21)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e23) (e21)) = (e22))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (((op2 (e21) (e20)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/((op2 (e21) (e23)) = (e23))))) -> ((op2 (e21) (op2 (e21) (e23))) = (e23)) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> (((op2 (e20) (e21)) = (e20))\/(((op2 (e20) (e21)) = (e21))\/(((op2 (e20) (e21)) = (e22))\/((op2 (e20) (e21)) = (e23))))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e13) (e13)) = (e10))\/(((op1 (e13) (e13)) = (e11))\/(((op1 (e13) (e13)) = (e12))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (((op1 (e10) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e12) (e11)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e12) (e13)) = (e10))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> ((((op1 (e10) (op1 (e10) (e10))) = (e10))/\(((op1 (e10) (op1 (e10) (e11))) = (e11))/\(((op1 (e10) (op1 (e10) (e12))) = (e12))/\(((op1 (e10) (op1 (e10) (e13))) = (e13))/\(((~((op1 (e10) (e10)) = (e10)))\/((op1 (e10) (e10)) = (e10)))/\(((~((op1 (e11) (e11)) = (e10)))\/((op1 (e11) (e10)) = (e11)))/\(((~((op1 (e12) (e12)) = (e10)))\/((op1 (e12) (e10)) = (e12)))/\((~((op1 (e13) (e13)) = (e10)))\/((op1 (e13) (e10)) = (e13))))))))))\/((((op1 (e11) (op1 (e11) (e10))) = (e10))/\(((op1 (e11) (op1 (e11) (e11))) = (e11))/\(((op1 (e11) (op1 (e11) (e12))) = (e12))/\(((op1 (e11) (op1 (e11) (e13))) = (e13))/\(((~((op1 (e10) (e10)) = (e11)))\/((op1 (e10) (e11)) = (e10)))/\(((~((op1 (e11) (e11)) = (e11)))\/((op1 (e11) (e11)) = (e11)))/\(((~((op1 (e12) (e12)) = (e11)))\/((op1 (e12) (e11)) = (e12)))/\((~((op1 (e13) (e13)) = (e11)))\/((op1 (e13) (e11)) = (e13))))))))))\/((((op1 (e12) (op1 (e12) (e10))) = (e10))/\(((op1 (e12) (op1 (e12) (e11))) = (e11))/\(((op1 (e12) (op1 (e12) (e12))) = (e12))/\(((op1 (e12) (op1 (e12) (e13))) = (e13))/\(((~((op1 (e10) (e10)) = (e12)))\/((op1 (e10) (e12)) = (e10)))/\(((~((op1 (e11) (e11)) = (e12)))\/((op1 (e11) (e12)) = (e11)))/\(((~((op1 (e12) (e12)) = (e12)))\/((op1 (e12) (e12)) = (e12)))/\((~((op1 (e13) (e13)) = (e12)))\/((op1 (e13) (e12)) = (e13))))))))))\/(((op1 (e13) (op1 (e13) (e10))) = (e10))/\(((op1 (e13) (op1 (e13) (e11))) = (e11))/\(((op1 (e13) (op1 (e13) (e12))) = (e12))/\(((op1 (e13) (op1 (e13) (e13))) = (e13))/\(((~((op1 (e10) (e10)) = (e13)))\/((op1 (e10) (e13)) = (e10)))/\(((~((op1 (e11) (e11)) = (e13)))\/((op1 (e11) (e13)) = (e11)))/\(((~((op1 (e12) (e12)) = (e13)))\/((op1 (e12) (e13)) = (e12)))/\((~((op1 (e13) (e13)) = (e13)))\/((op1 (e13) (e13)) = (e13))))))))))))) -> (~((e22) = (e23))) -> (((op2 (e20) (e21)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e22)))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e21)) = (e22))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> ((e12) = (op1 (op1 (op1 (e11) (e11)) (op1 (e11) (e11))) (op1 (e11) (e11)))) -> ((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) -> ((e10) = (op1 (e11) (e11))) -> ((((op1 (e10) (e10)) = (e10))/\(((op1 (e10) (e10)) = (e10))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11))))/\(((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12))))/\((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))))))))\/((((op1 (e10) (e11)) = (e10))/\(((op1 (e11) (e10)) = (e10))/\(((~((op1 (e11) (e10)) = (e11)))\/(~((op1 (e11) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e11) (e12)) = (e11)))\/(~((op1 (e11) (e11)) = (e12))))/\((~((op1 (e11) (e13)) = (e11)))\/(~((op1 (e11) (e11)) = (e13)))))))))\/((((op1 (e10) (e12)) = (e10))/\(((op1 (e12) (e10)) = (e10))/\(((~((op1 (e12) (e10)) = (e12)))\/(~((op1 (e12) (e12)) = (e10))))/\(((~((op1 (e12) (e11)) = (e12)))\/(~((op1 (e12) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13)))))))))\/((((op1 (e10) (e13)) = (e10))/\(((op1 (e13) (e10)) = (e10))/\(((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e13) (e13)) = (e10))))/\(((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11))))/\(((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e13) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13)))))))))\/((((op1 (e11) (e10)) = (e11))/\(((op1 (e10) (e11)) = (e11))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11))))/\(((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12))))/\((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))))))))\/((((op1 (e11) (e11)) = (e11))/\(((op1 (e11) (e11)) = (e11))/\(((~((op1 (e11) (e10)) = (e11)))\/(~((op1 (e11) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e11) (e12)) = (e11)))\/(~((op1 (e11) (e11)) = (e12))))/\((~((op1 (e11) (e13)) = (e11)))\/(~((op1 (e11) (e11)) = (e13)))))))))\/((((op1 (e11) (e12)) = (e11))/\(((op1 (e12) (e11)) = (e11))/\(((~((op1 (e12) (e10)) = (e12)))\/(~((op1 (e12) (e12)) = (e10))))/\(((~((op1 (e12) (e11)) = (e12)))\/(~((op1 (e12) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13)))))))))\/((((op1 (e11) (e13)) = (e11))/\(((op1 (e13) (e11)) = (e11))/\(((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e13) (e13)) = (e10))))/\(((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11))))/\(((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e13) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13)))))))))\/((((op1 (e12) (e10)) = (e12))/\(((op1 (e10) (e12)) = (e12))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11))))/\(((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12))))/\((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))))))))\/((((op1 (e12) (e11)) = (e12))/\(((op1 (e11) (e12)) = (e12))/\(((~((op1 (e11) (e10)) = (e11)))\/(~((op1 (e11) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e11) (e12)) = (e11)))\/(~((op1 (e11) (e11)) = (e12))))/\((~((op1 (e11) (e13)) = (e11)))\/(~((op1 (e11) (e11)) = (e13)))))))))\/((((op1 (e12) (e12)) = (e12))/\(((op1 (e12) (e12)) = (e12))/\(((~((op1 (e12) (e10)) = (e12)))\/(~((op1 (e12) (e12)) = (e10))))/\(((~((op1 (e12) (e11)) = (e12)))\/(~((op1 (e12) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13)))))))))\/((((op1 (e12) (e13)) = (e12))/\(((op1 (e13) (e12)) = (e12))/\(((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e13) (e13)) = (e10))))/\(((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11))))/\(((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e13) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13)))))))))\/((((op1 (e13) (e10)) = (e13))/\(((op1 (e10) (e13)) = (e13))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11))))/\(((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12))))/\((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))))))))\/((((op1 (e13) (e11)) = (e13))/\(((op1 (e11) (e13)) = (e13))/\(((~((op1 (e11) (e10)) = (e11)))\/(~((op1 (e11) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e11) (e12)) = (e11)))\/(~((op1 (e11) (e11)) = (e12))))/\((~((op1 (e11) (e13)) = (e11)))\/(~((op1 (e11) (e11)) = (e13)))))))))\/((((op1 (e13) (e12)) = (e13))/\(((op1 (e12) (e13)) = (e13))/\(((~((op1 (e12) (e10)) = (e12)))\/(~((op1 (e12) (e12)) = (e10))))/\(((~((op1 (e12) (e11)) = (e12)))\/(~((op1 (e12) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13)))))))))\/(((op1 (e13) (e13)) = (e13))/\(((op1 (e13) (e13)) = (e13))/\(((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e13) (e13)) = (e10))))/\(((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11))))/\(((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e13) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13)))))))))))))))))))))))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((e10) = (e12))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (~((h2 (op1 (e13) (e11))) = (op2 (h2 (e13)) (h2 (e11))))) -> ((h2 (e11)) = (e21)) -> ((h2 (e13)) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e11)) = (e12))\/((op1 (e10) (e11)) = (e13))))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> ((op1 (e11) (op1 (e11) (e13))) = (e13)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((e12) = (e13))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e12))\/((op1 (e11) (e10)) = (e13))))) -> (~((op2 (e20) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e20) (e22)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e23) (e22)) = (e23))))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> ((e22) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> ((e23) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((e20) = (op2 (e21) (e21))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (~((op2 (e22) (e22)) = (e22))) -> (~((op2 (e22) (e23)) = (e22))) -> (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> (~((op2 (e21) (e21)) = (e21))) -> (~((e21) = (e22))) -> (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> ((op1 (e11) (op1 (e11) (e10))) = (e10)) -> (~((op1 (e12) (e12)) = (e11))) -> False).
% 55.20/55.31 do 0 intro. intros zenon_H197 zenon_Ha5 zenon_H3fd zenon_H93 zenon_H9f zenon_H3a8 zenon_H399 zenon_H395 zenon_H394 zenon_H38f zenon_H116 zenon_H45 zenon_H8d zenon_H289 zenon_H3b4 zenon_H18e zenon_H192 zenon_H246 zenon_H209 zenon_H1fa zenon_H1f7 zenon_H1ed zenon_H1e8 zenon_H1da zenon_H1de zenon_H20c zenon_H2a3 zenon_H2a5 zenon_H2b1 zenon_H32b zenon_H32e zenon_H2fd zenon_H2fb zenon_H2f6 zenon_H328 zenon_H325 zenon_H322 zenon_H321 zenon_H30b zenon_H30e zenon_H2ea zenon_H2e2 zenon_H2e6 zenon_H2d9 zenon_H2c9 zenon_H2d1 zenon_H35d zenon_H345 zenon_H355 zenon_H358 zenon_H36e zenon_Hec zenon_H3bd zenon_H98 zenon_H437 zenon_H3b7 zenon_H39d zenon_H282 zenon_H60 zenon_H3af zenon_H3b1 zenon_Hfc zenon_H21a zenon_H155 zenon_H15 zenon_H13 zenon_H245 zenon_H2c2 zenon_H2c0 zenon_H1f4 zenon_H1a9 zenon_H16c zenon_H1a0 zenon_H25 zenon_H1e zenon_H17 zenon_H2e7 zenon_H2b9 zenon_H1b1 zenon_H522 zenon_H270 zenon_H461 zenon_H1d8 zenon_H206 zenon_H186 zenon_H180 zenon_H179 zenon_H204 zenon_H23b zenon_H301 zenon_H2f8 zenon_H29e zenon_H172 zenon_H1fd zenon_H18a zenon_H1cc zenon_H360 zenon_H316 zenon_H19d zenon_H1be zenon_H236 zenon_H2ad zenon_H313 zenon_H14b zenon_H154 zenon_H15a zenon_H15f zenon_H55 zenon_H3cb zenon_H43a zenon_Hb0 zenon_H3f zenon_H3b zenon_H33 zenon_H286 zenon_Hd7 zenon_H281 zenon_Hf1 zenon_H28d zenon_H27e zenon_H28c zenon_H292 zenon_H23f.
% 55.20/55.31 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_H18f. zenon_intro zenon_H198.
% 55.20/55.31 apply (zenon_and_s _ _ zenon_H198). zenon_intro zenon_H293. zenon_intro zenon_H227.
% 55.20/55.31 apply (zenon_and_s _ _ zenon_H227). zenon_intro zenon_H229. zenon_intro zenon_H228.
% 55.20/55.31 apply (zenon_and_s _ _ zenon_H228). zenon_intro zenon_H22b. zenon_intro zenon_H22a.
% 55.20/55.31 apply (zenon_and_s _ _ zenon_H22a). zenon_intro zenon_H224. zenon_intro zenon_H22c.
% 55.20/55.31 apply (zenon_L963_); trivial.
% 55.20/55.31 (* end of lemma zenon_L964_ *)
% 55.20/55.31 assert (zenon_L965_ : (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e23) (e20)))) -> ((h2 (e11)) = (e21)) -> ((h2 (e13)) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> (~((h2 (op1 (e13) (e11))) = (op2 (h2 (e13)) (h2 (e11))))) -> ((e12) = (op1 (op1 (op1 (e11) (e11)) (op1 (e11) (e11))) (op1 (e11) (e11)))) -> ((e10) = (op1 (e11) (e11))) -> ((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> ((op1 (e10) (e11)) = (e11)) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> ((op2 (e21) (e21)) = (e22)) -> (((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e21)) = (e22))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> ((op2 (e20) (e21)) = (e21)) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> ((e23) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((e20) = (op2 (e21) (e21))) -> ((e22) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> False).
% 55.20/55.31 do 0 intro. intros zenon_H3b7 zenon_H55 zenon_H270 zenon_H461 zenon_H522 zenon_H155 zenon_H13 zenon_H15 zenon_H172 zenon_H1fd zenon_H1fe zenon_H18a zenon_H2f8 zenon_H3cb zenon_H401 zenon_H3b1 zenon_H39d zenon_Hb9 zenon_H282 zenon_H60 zenon_H3b zenon_H33 zenon_H3f zenon_H3af.
% 55.20/55.31 apply (zenon_or_s _ _ zenon_H3b7); [ zenon_intro zenon_He5 | zenon_intro zenon_H3b8 ].
% 55.20/55.31 apply (zenon_L335_); trivial.
% 55.20/55.31 apply (zenon_or_s _ _ zenon_H3b8); [ zenon_intro zenon_He8 | zenon_intro zenon_H3b9 ].
% 55.20/55.31 apply (zenon_L956_); trivial.
% 55.20/55.31 apply (zenon_or_s _ _ zenon_H3b9); [ zenon_intro zenon_Hfb | zenon_intro zenon_H106 ].
% 55.20/55.31 apply (zenon_L450_); trivial.
% 55.20/55.31 apply (zenon_L349_); trivial.
% 55.20/55.31 (* end of lemma zenon_L965_ *)
% 55.20/55.31 assert (zenon_L966_ : (((op1 (e11) (e10)) = (e11))/\(((op1 (e10) (e11)) = (e11))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11))))/\(((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12))))/\((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13))))))))) -> (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (((op2 (e20) (e21)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> (((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e21)) = (e22))\/((op2 (e23) (e21)) = (e23))))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> ((op2 (e21) (op2 (e21) (e23))) = (e23)) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (((op2 (e21) (e20)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/((op2 (e21) (e23)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e23) (e20)))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((e22) = (e23))) -> ((((op1 (e10) (op1 (e10) (e10))) = (e10))/\(((op1 (e10) (op1 (e10) (e11))) = (e11))/\(((op1 (e10) (op1 (e10) (e12))) = (e12))/\(((op1 (e10) (op1 (e10) (e13))) = (e13))/\(((~((op1 (e10) (e10)) = (e10)))\/((op1 (e10) (e10)) = (e10)))/\(((~((op1 (e11) (e11)) = (e10)))\/((op1 (e11) (e10)) = (e11)))/\(((~((op1 (e12) (e12)) = (e10)))\/((op1 (e12) (e10)) = (e12)))/\((~((op1 (e13) (e13)) = (e10)))\/((op1 (e13) (e10)) = (e13))))))))))\/((((op1 (e11) (op1 (e11) (e10))) = (e10))/\(((op1 (e11) (op1 (e11) (e11))) = (e11))/\(((op1 (e11) (op1 (e11) (e12))) = (e12))/\(((op1 (e11) (op1 (e11) (e13))) = (e13))/\(((~((op1 (e10) (e10)) = (e11)))\/((op1 (e10) (e11)) = (e10)))/\(((~((op1 (e11) (e11)) = (e11)))\/((op1 (e11) (e11)) = (e11)))/\(((~((op1 (e12) (e12)) = (e11)))\/((op1 (e12) (e11)) = (e12)))/\((~((op1 (e13) (e13)) = (e11)))\/((op1 (e13) (e11)) = (e13))))))))))\/((((op1 (e12) (op1 (e12) (e10))) = (e10))/\(((op1 (e12) (op1 (e12) (e11))) = (e11))/\(((op1 (e12) (op1 (e12) (e12))) = (e12))/\(((op1 (e12) (op1 (e12) (e13))) = (e13))/\(((~((op1 (e10) (e10)) = (e12)))\/((op1 (e10) (e12)) = (e10)))/\(((~((op1 (e11) (e11)) = (e12)))\/((op1 (e11) (e12)) = (e11)))/\(((~((op1 (e12) (e12)) = (e12)))\/((op1 (e12) (e12)) = (e12)))/\((~((op1 (e13) (e13)) = (e12)))\/((op1 (e13) (e12)) = (e13))))))))))\/(((op1 (e13) (op1 (e13) (e10))) = (e10))/\(((op1 (e13) (op1 (e13) (e11))) = (e11))/\(((op1 (e13) (op1 (e13) (e12))) = (e12))/\(((op1 (e13) (op1 (e13) (e13))) = (e13))/\(((~((op1 (e10) (e10)) = (e13)))\/((op1 (e10) (e13)) = (e10)))/\(((~((op1 (e11) (e11)) = (e13)))\/((op1 (e11) (e13)) = (e11)))/\(((~((op1 (e12) (e12)) = (e13)))\/((op1 (e12) (e13)) = (e12)))/\((~((op1 (e13) (e13)) = (e13)))\/((op1 (e13) (e13)) = (e13))))))))))))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((e10) = (e12))) -> (~((h2 (op1 (e13) (e11))) = (op2 (h2 (e13)) (h2 (e11))))) -> ((h2 (e11)) = (e21)) -> ((h2 (e13)) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (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)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (((op1 (e10) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e12) (e11)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((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 (e11) (e11)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e12) (e13)) = (e10))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> ((((op1 (e10) (e10)) = (e10))/\(((op1 (e10) (e10)) = (e10))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11))))/\(((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12))))/\((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))))))))\/((((op1 (e10) (e11)) = (e10))/\(((op1 (e11) (e10)) = (e10))/\(((~((op1 (e11) (e10)) = (e11)))\/(~((op1 (e11) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e11) (e12)) = (e11)))\/(~((op1 (e11) (e11)) = (e12))))/\((~((op1 (e11) (e13)) = (e11)))\/(~((op1 (e11) (e11)) = (e13)))))))))\/((((op1 (e10) (e12)) = (e10))/\(((op1 (e12) (e10)) = (e10))/\(((~((op1 (e12) (e10)) = (e12)))\/(~((op1 (e12) (e12)) = (e10))))/\(((~((op1 (e12) (e11)) = (e12)))\/(~((op1 (e12) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13)))))))))\/((((op1 (e10) (e13)) = (e10))/\(((op1 (e13) (e10)) = (e10))/\(((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e13) (e13)) = (e10))))/\(((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11))))/\(((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e13) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13)))))))))\/((((op1 (e11) (e10)) = (e11))/\(((op1 (e10) (e11)) = (e11))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11))))/\(((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12))))/\((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))))))))\/((((op1 (e11) (e11)) = (e11))/\(((op1 (e11) (e11)) = (e11))/\(((~((op1 (e11) (e10)) = (e11)))\/(~((op1 (e11) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e11) (e12)) = (e11)))\/(~((op1 (e11) (e11)) = (e12))))/\((~((op1 (e11) (e13)) = (e11)))\/(~((op1 (e11) (e11)) = (e13)))))))))\/((((op1 (e11) (e12)) = (e11))/\(((op1 (e12) (e11)) = (e11))/\(((~((op1 (e12) (e10)) = (e12)))\/(~((op1 (e12) (e12)) = (e10))))/\(((~((op1 (e12) (e11)) = (e12)))\/(~((op1 (e12) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13)))))))))\/((((op1 (e11) (e13)) = (e11))/\(((op1 (e13) (e11)) = (e11))/\(((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e13) (e13)) = (e10))))/\(((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11))))/\(((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e13) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13)))))))))\/((((op1 (e12) (e10)) = (e12))/\(((op1 (e10) (e12)) = (e12))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11))))/\(((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12))))/\((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))))))))\/((((op1 (e12) (e11)) = (e12))/\(((op1 (e11) (e12)) = (e12))/\(((~((op1 (e11) (e10)) = (e11)))\/(~((op1 (e11) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e11) (e12)) = (e11)))\/(~((op1 (e11) (e11)) = (e12))))/\((~((op1 (e11) (e13)) = (e11)))\/(~((op1 (e11) (e11)) = (e13)))))))))\/((((op1 (e12) (e12)) = (e12))/\(((op1 (e12) (e12)) = (e12))/\(((~((op1 (e12) (e10)) = (e12)))\/(~((op1 (e12) (e12)) = (e10))))/\(((~((op1 (e12) (e11)) = (e12)))\/(~((op1 (e12) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13)))))))))\/((((op1 (e12) (e13)) = (e12))/\(((op1 (e13) (e12)) = (e12))/\(((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e13) (e13)) = (e10))))/\(((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11))))/\(((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e13) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13)))))))))\/((((op1 (e13) (e10)) = (e13))/\(((op1 (e10) (e13)) = (e13))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11))))/\(((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12))))/\((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))))))))\/((((op1 (e13) (e11)) = (e13))/\(((op1 (e11) (e13)) = (e13))/\(((~((op1 (e11) (e10)) = (e11)))\/(~((op1 (e11) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e11) (e12)) = (e11)))\/(~((op1 (e11) (e11)) = (e12))))/\((~((op1 (e11) (e13)) = (e11)))\/(~((op1 (e11) (e11)) = (e13)))))))))\/((((op1 (e13) (e12)) = (e13))/\(((op1 (e12) (e13)) = (e13))/\(((~((op1 (e12) (e10)) = (e12)))\/(~((op1 (e12) (e12)) = (e10))))/\(((~((op1 (e12) (e11)) = (e12)))\/(~((op1 (e12) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13)))))))))\/(((op1 (e13) (e13)) = (e13))/\(((op1 (e13) (e13)) = (e13))/\(((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e13) (e13)) = (e10))))/\(((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11))))/\(((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e13) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13)))))))))))))))))))))))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((e12) = (e13))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e13)) = (e10))\/(((op1 (e13) (e13)) = (e11))\/(((op1 (e13) (e13)) = (e12))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> ((e12) = (op1 (op1 (op1 (e11) (e11)) (op1 (e11) (e11))) (op1 (e11) (e11)))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e12))\/((op1 (e11) (e10)) = (e13))))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> ((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) -> ((e10) = (op1 (e11) (e11))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e20) (e21)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e23) (e21)) = (e22))))) -> (~((op2 (e21) (e21)) = (e21))) -> (~((e21) = (e22))) -> (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> ((e22) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> ((e20) = (op2 (e21) (e21))) -> ((e23) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> (((op2 (e20) (e21)) = (e20))\/(((op2 (e20) (e21)) = (e21))\/(((op2 (e20) (e21)) = (e22))\/((op2 (e20) (e21)) = (e23))))) -> (~((op2 (e22) (e22)) = (e22))) -> (~((op2 (e22) (e23)) = (e22))) -> False).
% 55.20/55.31 do 0 intro. intros zenon_H259 zenon_H28c zenon_H60 zenon_H3bd zenon_H3af zenon_H39d zenon_H3b1 zenon_H3b4 zenon_H9f zenon_H3a8 zenon_H395 zenon_H394 zenon_H38f zenon_H116 zenon_H45 zenon_H399 zenon_H55 zenon_H3b7 zenon_Hec zenon_H36e zenon_H192 zenon_H1ed zenon_H1de zenon_H16c zenon_H522 zenon_H270 zenon_H461 zenon_H2a5 zenon_H2b1 zenon_H1fa zenon_H1e8 zenon_H1f7 zenon_H32b zenon_H206 zenon_H32e zenon_H1a9 zenon_H246 zenon_H2fd zenon_H2c0 zenon_H2b9 zenon_H328 zenon_H325 zenon_H322 zenon_H1f4 zenon_H2c2 zenon_H321 zenon_H301 zenon_H30b zenon_H204 zenon_H30e zenon_H316 zenon_H19d zenon_H2ea zenon_H2e2 zenon_H2a3 zenon_H2e6 zenon_H2d9 zenon_H1cc zenon_H2d1 zenon_H245 zenon_H1d8 zenon_H1da zenon_H209 zenon_H358 zenon_H2c9 zenon_H355 zenon_H1fd zenon_H2f6 zenon_H23b zenon_H2ad zenon_H236 zenon_H2e7 zenon_H21a zenon_H313 zenon_H1be zenon_H345 zenon_H20c zenon_H1b1 zenon_H186 zenon_H180 zenon_H179 zenon_H172 zenon_H18e zenon_H14b zenon_H154 zenon_H155 zenon_H15a zenon_H15f zenon_H2fb zenon_H360 zenon_H2f8 zenon_H35d zenon_H18a zenon_H17 zenon_H15 zenon_H13 zenon_H1e zenon_H25 zenon_H1a0 zenon_H3cb zenon_H3fd zenon_H28d zenon_H27e zenon_Hf1 zenon_H3f zenon_Hb0 zenon_H93 zenon_H33 zenon_H3b zenon_H286 zenon_H282 zenon_H8d zenon_H289 zenon_Hd7 zenon_H281.
% 55.20/55.31 apply (zenon_and_s _ _ zenon_H259). zenon_intro zenon_H163. zenon_intro zenon_H25a.
% 55.20/55.31 apply (zenon_and_s _ _ zenon_H25a). zenon_intro zenon_H1fe. zenon_intro zenon_H149.
% 55.20/55.31 apply (zenon_or_s _ _ zenon_H28c); [ zenon_intro zenon_Hb9 | zenon_intro zenon_H28e ].
% 55.20/55.31 apply (zenon_or_s _ _ zenon_H3fd); [ zenon_intro zenon_H285 | zenon_intro zenon_H3ff ].
% 55.20/55.31 apply (zenon_L572_); trivial.
% 55.20/55.31 apply (zenon_or_s _ _ zenon_H3ff); [ zenon_intro zenon_H401 | zenon_intro zenon_H400 ].
% 55.20/55.31 apply (zenon_L965_); trivial.
% 55.20/55.31 apply (zenon_or_s _ _ zenon_H400); [ zenon_intro zenon_Hd3 | zenon_intro zenon_H5f ].
% 55.20/55.31 apply (zenon_L960_); trivial.
% 55.20/55.31 apply (zenon_L15_); trivial.
% 55.20/55.31 apply (zenon_or_s _ _ zenon_H28e); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H28f ].
% 55.20/55.31 exact (zenon_H28d zenon_Hc3).
% 55.20/55.31 apply (zenon_or_s _ _ zenon_H28f); [ zenon_intro zenon_H27f | zenon_intro zenon_H283 ].
% 55.20/55.31 apply (zenon_L134_); trivial.
% 55.20/55.31 apply (zenon_L138_); trivial.
% 55.20/55.31 (* end of lemma zenon_L966_ *)
% 55.20/55.31 assert (zenon_L967_ : (((op1 (e10) (e12)) = (e10))/\(((op1 (e12) (e10)) = (e10))/\(((~((op1 (e12) (e10)) = (e12)))\/(~((op1 (e12) (e12)) = (e10))))/\(((~((op1 (e12) (e11)) = (e12)))\/(~((op1 (e12) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13))))))))) -> ((op1 (e11) (op1 (e11) (e10))) = (e10)) -> (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> (~((e21) = (e22))) -> (~((op2 (e21) (e21)) = (e21))) -> (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> (~((op2 (e22) (e23)) = (e22))) -> (~((op2 (e22) (e22)) = (e22))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> ((e20) = (op2 (e21) (e21))) -> ((e23) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((e22) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> (((op2 (e20) (e22)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e23) (e22)) = (e23))))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e20)) = (op2 (e23) (e20)))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e12))\/((op1 (e11) (e10)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((e12) = (e13))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> ((op1 (e11) (op1 (e11) (e13))) = (e13)) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (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 (e12) (e11)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e11)) = (e12))\/((op1 (e10) (e11)) = (e13))))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> ((h2 (e13)) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((h2 (e11)) = (e21)) -> (~((h2 (op1 (e13) (e11))) = (op2 (h2 (e13)) (h2 (e11))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((e10) = (e12))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> ((((op1 (e10) (e10)) = (e10))/\(((op1 (e10) (e10)) = (e10))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11))))/\(((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12))))/\((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))))))))\/((((op1 (e10) (e11)) = (e10))/\(((op1 (e11) (e10)) = (e10))/\(((~((op1 (e11) (e10)) = (e11)))\/(~((op1 (e11) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e11) (e12)) = (e11)))\/(~((op1 (e11) (e11)) = (e12))))/\((~((op1 (e11) (e13)) = (e11)))\/(~((op1 (e11) (e11)) = (e13)))))))))\/((((op1 (e10) (e12)) = (e10))/\(((op1 (e12) (e10)) = (e10))/\(((~((op1 (e12) (e10)) = (e12)))\/(~((op1 (e12) (e12)) = (e10))))/\(((~((op1 (e12) (e11)) = (e12)))\/(~((op1 (e12) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13)))))))))\/((((op1 (e10) (e13)) = (e10))/\(((op1 (e13) (e10)) = (e10))/\(((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e13) (e13)) = (e10))))/\(((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11))))/\(((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e13) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13)))))))))\/((((op1 (e11) (e10)) = (e11))/\(((op1 (e10) (e11)) = (e11))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11))))/\(((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12))))/\((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))))))))\/((((op1 (e11) (e11)) = (e11))/\(((op1 (e11) (e11)) = (e11))/\(((~((op1 (e11) (e10)) = (e11)))\/(~((op1 (e11) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e11) (e12)) = (e11)))\/(~((op1 (e11) (e11)) = (e12))))/\((~((op1 (e11) (e13)) = (e11)))\/(~((op1 (e11) (e11)) = (e13)))))))))\/((((op1 (e11) (e12)) = (e11))/\(((op1 (e12) (e11)) = (e11))/\(((~((op1 (e12) (e10)) = (e12)))\/(~((op1 (e12) (e12)) = (e10))))/\(((~((op1 (e12) (e11)) = (e12)))\/(~((op1 (e12) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13)))))))))\/((((op1 (e11) (e13)) = (e11))/\(((op1 (e13) (e11)) = (e11))/\(((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e13) (e13)) = (e10))))/\(((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11))))/\(((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e13) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13)))))))))\/((((op1 (e12) (e10)) = (e12))/\(((op1 (e10) (e12)) = (e12))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11))))/\(((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12))))/\((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))))))))\/((((op1 (e12) (e11)) = (e12))/\(((op1 (e11) (e12)) = (e12))/\(((~((op1 (e11) (e10)) = (e11)))\/(~((op1 (e11) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e11) (e12)) = (e11)))\/(~((op1 (e11) (e11)) = (e12))))/\((~((op1 (e11) (e13)) = (e11)))\/(~((op1 (e11) (e11)) = (e13)))))))))\/((((op1 (e12) (e12)) = (e12))/\(((op1 (e12) (e12)) = (e12))/\(((~((op1 (e12) (e10)) = (e12)))\/(~((op1 (e12) (e12)) = (e10))))/\(((~((op1 (e12) (e11)) = (e12)))\/(~((op1 (e12) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13)))))))))\/((((op1 (e12) (e13)) = (e12))/\(((op1 (e13) (e12)) = (e12))/\(((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e13) (e13)) = (e10))))/\(((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11))))/\(((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e13) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13)))))))))\/((((op1 (e13) (e10)) = (e13))/\(((op1 (e10) (e13)) = (e13))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11))))/\(((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12))))/\((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))))))))\/((((op1 (e13) (e11)) = (e13))/\(((op1 (e11) (e13)) = (e13))/\(((~((op1 (e11) (e10)) = (e11)))\/(~((op1 (e11) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e11) (e12)) = (e11)))\/(~((op1 (e11) (e11)) = (e12))))/\((~((op1 (e11) (e13)) = (e11)))\/(~((op1 (e11) (e11)) = (e13)))))))))\/((((op1 (e13) (e12)) = (e13))/\(((op1 (e12) (e13)) = (e13))/\(((~((op1 (e12) (e10)) = (e12)))\/(~((op1 (e12) (e12)) = (e10))))/\(((~((op1 (e12) (e11)) = (e12)))\/(~((op1 (e12) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13)))))))))\/(((op1 (e13) (e13)) = (e13))/\(((op1 (e13) (e13)) = (e13))/\(((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e13) (e13)) = (e10))))/\(((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11))))/\(((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e13) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13)))))))))))))))))))))))) -> ((e10) = (op1 (e11) (e11))) -> ((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) -> ((e12) = (op1 (op1 (op1 (e11) (e11)) (op1 (e11) (e11))) (op1 (e11) (e11)))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e21)) = (e22))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e22)))) -> (((op2 (e20) (e21)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/((op2 (e23) (e21)) = (e23))))) -> (~((e22) = (e23))) -> ((((op1 (e10) (op1 (e10) (e10))) = (e10))/\(((op1 (e10) (op1 (e10) (e11))) = (e11))/\(((op1 (e10) (op1 (e10) (e12))) = (e12))/\(((op1 (e10) (op1 (e10) (e13))) = (e13))/\(((~((op1 (e10) (e10)) = (e10)))\/((op1 (e10) (e10)) = (e10)))/\(((~((op1 (e11) (e11)) = (e10)))\/((op1 (e11) (e10)) = (e11)))/\(((~((op1 (e12) (e12)) = (e10)))\/((op1 (e12) (e10)) = (e12)))/\((~((op1 (e13) (e13)) = (e10)))\/((op1 (e13) (e10)) = (e13))))))))))\/((((op1 (e11) (op1 (e11) (e10))) = (e10))/\(((op1 (e11) (op1 (e11) (e11))) = (e11))/\(((op1 (e11) (op1 (e11) (e12))) = (e12))/\(((op1 (e11) (op1 (e11) (e13))) = (e13))/\(((~((op1 (e10) (e10)) = (e11)))\/((op1 (e10) (e11)) = (e10)))/\(((~((op1 (e11) (e11)) = (e11)))\/((op1 (e11) (e11)) = (e11)))/\(((~((op1 (e12) (e12)) = (e11)))\/((op1 (e12) (e11)) = (e12)))/\((~((op1 (e13) (e13)) = (e11)))\/((op1 (e13) (e11)) = (e13))))))))))\/((((op1 (e12) (op1 (e12) (e10))) = (e10))/\(((op1 (e12) (op1 (e12) (e11))) = (e11))/\(((op1 (e12) (op1 (e12) (e12))) = (e12))/\(((op1 (e12) (op1 (e12) (e13))) = (e13))/\(((~((op1 (e10) (e10)) = (e12)))\/((op1 (e10) (e12)) = (e10)))/\(((~((op1 (e11) (e11)) = (e12)))\/((op1 (e11) (e12)) = (e11)))/\(((~((op1 (e12) (e12)) = (e12)))\/((op1 (e12) (e12)) = (e12)))/\((~((op1 (e13) (e13)) = (e12)))\/((op1 (e13) (e12)) = (e13))))))))))\/(((op1 (e13) (op1 (e13) (e10))) = (e10))/\(((op1 (e13) (op1 (e13) (e11))) = (e11))/\(((op1 (e13) (op1 (e13) (e12))) = (e12))/\(((op1 (e13) (op1 (e13) (e13))) = (e13))/\(((~((op1 (e10) (e10)) = (e13)))\/((op1 (e10) (e13)) = (e10)))/\(((~((op1 (e11) (e11)) = (e13)))\/((op1 (e11) (e13)) = (e11)))/\(((~((op1 (e12) (e12)) = (e13)))\/((op1 (e12) (e13)) = (e12)))/\((~((op1 (e13) (e13)) = (e13)))\/((op1 (e13) (e13)) = (e13))))))))))))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e12) (e13)) = (e10))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e12) (e11)) = (e13))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (((op1 (e13) (e13)) = (e10))\/(((op1 (e13) (e13)) = (e11))\/(((op1 (e13) (e13)) = (e12))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (((op2 (e20) (e21)) = (e20))\/(((op2 (e20) (e21)) = (e21))\/(((op2 (e20) (e21)) = (e22))\/((op2 (e20) (e21)) = (e23))))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> ((op2 (e21) (op2 (e21) (e23))) = (e23)) -> (((op2 (e21) (e20)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/((op2 (e21) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> (((op2 (e20) (e21)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e23) (e21)) = (e22))))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e20) (e21)) = (e23))\/(((op2 (e20) (e22)) = (e23))\/((op2 (e20) (e23)) = (e23))))) -> ((op1 (e12) (e11)) = (e12)) -> False).
% 55.20/55.31 do 0 intro. intros zenon_H197 zenon_H292 zenon_H28c zenon_H27e zenon_H28d zenon_Hf1 zenon_H281 zenon_Hd7 zenon_H286 zenon_H33 zenon_H3b zenon_H3f zenon_Hb0 zenon_H43a zenon_H3cb zenon_H55 zenon_H15f zenon_H15a zenon_H154 zenon_H14b zenon_H313 zenon_H2ad zenon_H236 zenon_H1be zenon_H19d zenon_H316 zenon_H360 zenon_H1cc zenon_H18a zenon_H1fd zenon_H172 zenon_H29e zenon_H2f8 zenon_H301 zenon_H23b zenon_H204 zenon_H179 zenon_H180 zenon_H186 zenon_H206 zenon_H1d8 zenon_H461 zenon_H270 zenon_H522 zenon_H1b1 zenon_H2b9 zenon_H2e7 zenon_H17 zenon_H1e zenon_H25 zenon_H1a0 zenon_H16c zenon_H1a9 zenon_H1f4 zenon_H2c0 zenon_H2c2 zenon_H245 zenon_H13 zenon_H15 zenon_H155 zenon_H21a zenon_Hfc zenon_H3b1 zenon_H3af zenon_H60 zenon_H282 zenon_H39d zenon_H3b7 zenon_H437 zenon_H98 zenon_H3bd zenon_Hec zenon_H36e zenon_H358 zenon_H355 zenon_H345 zenon_H35d zenon_H2d1 zenon_H2c9 zenon_H2d9 zenon_H2e6 zenon_H2e2 zenon_H2ea zenon_H30e zenon_H30b zenon_H321 zenon_H322 zenon_H325 zenon_H328 zenon_H2f6 zenon_H2fb zenon_H2fd zenon_H32e zenon_H32b zenon_H2b1 zenon_H2a5 zenon_H2a3 zenon_H20c zenon_H1de zenon_H1da zenon_H1e8 zenon_H1ed zenon_H1f7 zenon_H1fa zenon_H209 zenon_H246 zenon_H192 zenon_H18e zenon_H3b4 zenon_H289 zenon_H8d zenon_H45 zenon_H116 zenon_H38f zenon_H394 zenon_H395 zenon_H399 zenon_H3a8 zenon_H9f zenon_H93 zenon_H3fd zenon_Ha5 zenon_H202.
% 55.20/55.31 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_H18f. zenon_intro zenon_H198.
% 55.20/55.31 apply (zenon_and_s _ _ zenon_H198). zenon_intro zenon_H293. zenon_intro zenon_H227.
% 55.20/55.31 apply (zenon_and_s _ _ zenon_H227). zenon_intro zenon_H229. zenon_intro zenon_H228.
% 55.20/55.31 apply (zenon_and_s _ _ zenon_H228). zenon_intro zenon_H22b. zenon_intro zenon_H22a.
% 55.20/55.31 apply (zenon_and_s _ _ zenon_H22a). zenon_intro zenon_H224. zenon_intro zenon_H22c.
% 55.20/55.31 apply (zenon_or_s _ _ zenon_H22b); [ zenon_intro zenon_H23c | zenon_intro zenon_H23f ].
% 55.20/55.31 exact (zenon_H23c zenon_H202).
% 55.20/55.31 apply (zenon_L963_); trivial.
% 55.20/55.31 (* end of lemma zenon_L967_ *)
% 55.20/55.31 assert (zenon_L968_ : (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e23) (e20)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> ((e10) = (op1 (e11) (e11))) -> ((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> ((e12) = (op1 (op1 (op1 (e11) (e11)) (op1 (e11) (e11))) (op1 (e11) (e11)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> ((op1 (e10) (e11)) = (e11)) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e11) (op1 (e11) (e13))) = (e13)) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((e12) = (e13))) -> ((op1 (e12) (e11)) = (e12)) -> (~((h2 (op1 (e13) (e11))) = (op2 (h2 (e13)) (h2 (e11))))) -> ((h2 (e13)) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((h2 (e11)) = (e21)) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> ((op2 (e22) (e22)) = (e23)) -> ((op2 (e20) (e20)) = (e23)) -> (((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e21)) = (e22))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> ((op2 (e20) (e21)) = (e21)) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> ((e23) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((e20) = (op2 (e21) (e21))) -> ((e22) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> False).
% 55.20/55.31 do 0 intro. intros zenon_H3b7 zenon_H55 zenon_H25 zenon_H13 zenon_H15 zenon_H1e zenon_H17 zenon_H313 zenon_H2b9 zenon_H1be zenon_H1b1 zenon_H1d8 zenon_H316 zenon_H301 zenon_H18a zenon_H155 zenon_H172 zenon_H1fd zenon_H1fe zenon_H2f8 zenon_H1cc zenon_H360 zenon_H29e zenon_H2ad zenon_H2e7 zenon_H236 zenon_H202 zenon_H522 zenon_H461 zenon_H270 zenon_H1a0 zenon_Hfc zenon_Hf6 zenon_Ha8 zenon_H3b1 zenon_H39d zenon_Hb9 zenon_H282 zenon_H60 zenon_H3b zenon_H33 zenon_H3f zenon_H3af.
% 55.20/55.31 apply (zenon_or_s _ _ zenon_H3b7); [ zenon_intro zenon_He5 | zenon_intro zenon_H3b8 ].
% 55.20/55.31 apply (zenon_L335_); trivial.
% 55.20/55.31 apply (zenon_or_s _ _ zenon_H3b8); [ zenon_intro zenon_He8 | zenon_intro zenon_H3b9 ].
% 55.20/55.31 apply (zenon_L950_); trivial.
% 55.20/55.31 apply (zenon_or_s _ _ zenon_H3b9); [ zenon_intro zenon_Hfb | zenon_intro zenon_H106 ].
% 55.20/55.31 apply (zenon_L50_); trivial.
% 55.20/55.31 apply (zenon_L349_); trivial.
% 55.20/55.31 (* end of lemma zenon_L968_ *)
% 55.20/55.31 assert (zenon_L969_ : (((op2 (e20) (e22)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e23) (e22)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e22)))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> ((e22) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> ((op2 (e20) (e21)) = (e21)) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> (((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e21)) = (e22))\/((op2 (e23) (e21)) = (e23))))) -> ((op2 (e20) (e20)) = (e23)) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> ((h2 (e11)) = (e21)) -> ((h2 (e13)) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> (~((h2 (op1 (e13) (e11))) = (op2 (h2 (e13)) (h2 (e11))))) -> ((op1 (e12) (e11)) = (e12)) -> (~((e12) = (e13))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> ((op1 (e11) (op1 (e11) (e13))) = (e13)) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> ((op1 (e10) (e11)) = (e11)) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> ((e12) = (op1 (op1 (op1 (e11) (e11)) (op1 (e11) (e11))) (op1 (e11) (e11)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> ((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) -> ((e10) = (op1 (e11) (e11))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (~((op2 (e20) (e20)) = (op2 (e23) (e20)))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> ((e23) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((op2 (e21) (e21)) = (e22)) -> ((e20) = (op2 (e21) (e21))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> False).
% 55.20/55.31 do 0 intro. intros zenon_H43a zenon_H98 zenon_H437 zenon_H3af zenon_H3f zenon_H60 zenon_H282 zenon_Hb9 zenon_H39d zenon_H3b1 zenon_Ha8 zenon_Hfc zenon_H1a0 zenon_H270 zenon_H461 zenon_H522 zenon_H202 zenon_H236 zenon_H2e7 zenon_H2ad zenon_H29e zenon_H360 zenon_H1cc zenon_H2f8 zenon_H1fe zenon_H1fd zenon_H172 zenon_H155 zenon_H18a zenon_H301 zenon_H316 zenon_H1d8 zenon_H1b1 zenon_H1be zenon_H2b9 zenon_H313 zenon_H17 zenon_H1e zenon_H15 zenon_H13 zenon_H25 zenon_H55 zenon_H3b7 zenon_H3b zenon_H401 zenon_H33 zenon_H3cb.
% 55.20/55.31 apply (zenon_or_s _ _ zenon_H43a); [ zenon_intro zenon_H97 | zenon_intro zenon_H43b ].
% 55.20/55.31 apply (zenon_L26_); trivial.
% 55.20/55.31 apply (zenon_or_s _ _ zenon_H43b); [ zenon_intro zenon_H38e | zenon_intro zenon_H43c ].
% 55.20/55.31 apply (zenon_L449_); trivial.
% 55.20/55.31 apply (zenon_or_s _ _ zenon_H43c); [ zenon_intro zenon_Hf6 | zenon_intro zenon_Hfb ].
% 55.20/55.31 apply (zenon_L968_); trivial.
% 55.20/55.31 apply (zenon_L450_); trivial.
% 55.20/55.31 (* end of lemma zenon_L969_ *)
% 55.20/55.31 assert (zenon_L970_ : (((op1 (e11) (e10)) = (e11))/\(((op1 (e10) (e11)) = (e11))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11))))/\(((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12))))/\((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13))))))))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e20) (e21)) = (e23))\/(((op2 (e20) (e22)) = (e23))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e22) (e23)) = (e22))) -> (~((op2 (e22) (e22)) = (e22))) -> (((op2 (e20) (e21)) = (e20))\/(((op2 (e20) (e21)) = (e21))\/(((op2 (e20) (e21)) = (e22))\/((op2 (e20) (e21)) = (e23))))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> ((e22) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> (~((e21) = (e22))) -> (~((op2 (e21) (e21)) = (e21))) -> (((op2 (e20) (e21)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e23) (e21)) = (e22))))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> ((op1 (e11) (op1 (e11) (e13))) = (e13)) -> ((op1 (e12) (e11)) = (e12)) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (((op2 (e20) (e22)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e23) (e22)) = (e23))))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> ((e10) = (op1 (e11) (e11))) -> ((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e12))\/((op1 (e11) (e10)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> ((e12) = (op1 (op1 (op1 (e11) (e11)) (op1 (e11) (e11))) (op1 (e11) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e13) (e13)) = (e10))\/(((op1 (e13) (e13)) = (e11))\/(((op1 (e13) (e13)) = (e12))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((e12) = (e13))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> ((((op1 (e10) (e10)) = (e10))/\(((op1 (e10) (e10)) = (e10))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11))))/\(((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12))))/\((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))))))))\/((((op1 (e10) (e11)) = (e10))/\(((op1 (e11) (e10)) = (e10))/\(((~((op1 (e11) (e10)) = (e11)))\/(~((op1 (e11) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e11) (e12)) = (e11)))\/(~((op1 (e11) (e11)) = (e12))))/\((~((op1 (e11) (e13)) = (e11)))\/(~((op1 (e11) (e11)) = (e13)))))))))\/((((op1 (e10) (e12)) = (e10))/\(((op1 (e12) (e10)) = (e10))/\(((~((op1 (e12) (e10)) = (e12)))\/(~((op1 (e12) (e12)) = (e10))))/\(((~((op1 (e12) (e11)) = (e12)))\/(~((op1 (e12) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13)))))))))\/((((op1 (e10) (e13)) = (e10))/\(((op1 (e13) (e10)) = (e10))/\(((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e13) (e13)) = (e10))))/\(((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11))))/\(((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e13) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13)))))))))\/((((op1 (e11) (e10)) = (e11))/\(((op1 (e10) (e11)) = (e11))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11))))/\(((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12))))/\((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))))))))\/((((op1 (e11) (e11)) = (e11))/\(((op1 (e11) (e11)) = (e11))/\(((~((op1 (e11) (e10)) = (e11)))\/(~((op1 (e11) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e11) (e12)) = (e11)))\/(~((op1 (e11) (e11)) = (e12))))/\((~((op1 (e11) (e13)) = (e11)))\/(~((op1 (e11) (e11)) = (e13)))))))))\/((((op1 (e11) (e12)) = (e11))/\(((op1 (e12) (e11)) = (e11))/\(((~((op1 (e12) (e10)) = (e12)))\/(~((op1 (e12) (e12)) = (e10))))/\(((~((op1 (e12) (e11)) = (e12)))\/(~((op1 (e12) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13)))))))))\/((((op1 (e11) (e13)) = (e11))/\(((op1 (e13) (e11)) = (e11))/\(((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e13) (e13)) = (e10))))/\(((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11))))/\(((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e13) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13)))))))))\/((((op1 (e12) (e10)) = (e12))/\(((op1 (e10) (e12)) = (e12))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11))))/\(((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12))))/\((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))))))))\/((((op1 (e12) (e11)) = (e12))/\(((op1 (e11) (e12)) = (e12))/\(((~((op1 (e11) (e10)) = (e11)))\/(~((op1 (e11) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e11) (e12)) = (e11)))\/(~((op1 (e11) (e11)) = (e12))))/\((~((op1 (e11) (e13)) = (e11)))\/(~((op1 (e11) (e11)) = (e13)))))))))\/((((op1 (e12) (e12)) = (e12))/\(((op1 (e12) (e12)) = (e12))/\(((~((op1 (e12) (e10)) = (e12)))\/(~((op1 (e12) (e12)) = (e10))))/\(((~((op1 (e12) (e11)) = (e12)))\/(~((op1 (e12) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13)))))))))\/((((op1 (e12) (e13)) = (e12))/\(((op1 (e13) (e12)) = (e12))/\(((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e13) (e13)) = (e10))))/\(((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11))))/\(((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e13) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13)))))))))\/((((op1 (e13) (e10)) = (e13))/\(((op1 (e10) (e13)) = (e13))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11))))/\(((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12))))/\((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))))))))\/((((op1 (e13) (e11)) = (e13))/\(((op1 (e11) (e13)) = (e13))/\(((~((op1 (e11) (e10)) = (e11)))\/(~((op1 (e11) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e11) (e12)) = (e11)))\/(~((op1 (e11) (e11)) = (e12))))/\((~((op1 (e11) (e13)) = (e11)))\/(~((op1 (e11) (e11)) = (e13)))))))))\/((((op1 (e13) (e12)) = (e13))/\(((op1 (e12) (e13)) = (e13))/\(((~((op1 (e12) (e10)) = (e12)))\/(~((op1 (e12) (e12)) = (e10))))/\(((~((op1 (e12) (e11)) = (e12)))\/(~((op1 (e12) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13)))))))))\/(((op1 (e13) (e13)) = (e13))/\(((op1 (e13) (e13)) = (e13))/\(((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e13) (e13)) = (e10))))/\(((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11))))/\(((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e13) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13)))))))))))))))))))))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e12) (e13)) = (e10))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e12) (e11)) = (e13))))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e11)) = (e12))\/((op1 (e10) (e11)) = (e13))))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> ((h2 (e13)) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((h2 (e11)) = (e21)) -> (~((h2 (op1 (e13) (e11))) = (op2 (h2 (e13)) (h2 (e11))))) -> (~((e10) = (e12))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> ((((op1 (e10) (op1 (e10) (e10))) = (e10))/\(((op1 (e10) (op1 (e10) (e11))) = (e11))/\(((op1 (e10) (op1 (e10) (e12))) = (e12))/\(((op1 (e10) (op1 (e10) (e13))) = (e13))/\(((~((op1 (e10) (e10)) = (e10)))\/((op1 (e10) (e10)) = (e10)))/\(((~((op1 (e11) (e11)) = (e10)))\/((op1 (e11) (e10)) = (e11)))/\(((~((op1 (e12) (e12)) = (e10)))\/((op1 (e12) (e10)) = (e12)))/\((~((op1 (e13) (e13)) = (e10)))\/((op1 (e13) (e10)) = (e13))))))))))\/((((op1 (e11) (op1 (e11) (e10))) = (e10))/\(((op1 (e11) (op1 (e11) (e11))) = (e11))/\(((op1 (e11) (op1 (e11) (e12))) = (e12))/\(((op1 (e11) (op1 (e11) (e13))) = (e13))/\(((~((op1 (e10) (e10)) = (e11)))\/((op1 (e10) (e11)) = (e10)))/\(((~((op1 (e11) (e11)) = (e11)))\/((op1 (e11) (e11)) = (e11)))/\(((~((op1 (e12) (e12)) = (e11)))\/((op1 (e12) (e11)) = (e12)))/\((~((op1 (e13) (e13)) = (e11)))\/((op1 (e13) (e11)) = (e13))))))))))\/((((op1 (e12) (op1 (e12) (e10))) = (e10))/\(((op1 (e12) (op1 (e12) (e11))) = (e11))/\(((op1 (e12) (op1 (e12) (e12))) = (e12))/\(((op1 (e12) (op1 (e12) (e13))) = (e13))/\(((~((op1 (e10) (e10)) = (e12)))\/((op1 (e10) (e12)) = (e10)))/\(((~((op1 (e11) (e11)) = (e12)))\/((op1 (e11) (e12)) = (e11)))/\(((~((op1 (e12) (e12)) = (e12)))\/((op1 (e12) (e12)) = (e12)))/\((~((op1 (e13) (e13)) = (e12)))\/((op1 (e13) (e12)) = (e13))))))))))\/(((op1 (e13) (op1 (e13) (e10))) = (e10))/\(((op1 (e13) (op1 (e13) (e11))) = (e11))/\(((op1 (e13) (op1 (e13) (e12))) = (e12))/\(((op1 (e13) (op1 (e13) (e13))) = (e13))/\(((~((op1 (e10) (e10)) = (e13)))\/((op1 (e10) (e13)) = (e10)))/\(((~((op1 (e11) (e11)) = (e13)))\/((op1 (e11) (e13)) = (e11)))/\(((~((op1 (e12) (e12)) = (e13)))\/((op1 (e12) (e13)) = (e12)))/\((~((op1 (e13) (e13)) = (e13)))\/((op1 (e13) (e13)) = (e13))))))))))))) -> (~((e22) = (e23))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e23) (e20)))) -> (((op2 (e21) (e20)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/((op2 (e21) (e23)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> ((op2 (e21) (op2 (e21) (e23))) = (e23)) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e21)) = (e22))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e21)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e22)))) -> ((e23) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((e20) = (op2 (e21) (e21))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> False).
% 55.20/55.31 do 0 intro. intros zenon_H259 zenon_Ha5 zenon_H281 zenon_Hd7 zenon_H289 zenon_H8d zenon_H282 zenon_H286 zenon_Hb0 zenon_H3f zenon_Hf1 zenon_H27e zenon_H28d zenon_H3fd zenon_H3cb zenon_H29e zenon_H202 zenon_Hfc zenon_H437 zenon_H43a zenon_H1a0 zenon_H25 zenon_H1e zenon_H13 zenon_H15 zenon_H17 zenon_H18a zenon_H35d zenon_H2f8 zenon_H360 zenon_H2fb zenon_H15f zenon_H15a zenon_H155 zenon_H154 zenon_H14b zenon_H18e zenon_H172 zenon_H179 zenon_H180 zenon_H186 zenon_H1b1 zenon_H20c zenon_H345 zenon_H1be zenon_H313 zenon_H21a zenon_H2e7 zenon_H236 zenon_H2ad zenon_H23b zenon_H2f6 zenon_H1fd zenon_H355 zenon_H2c9 zenon_H358 zenon_H209 zenon_H1da zenon_H1d8 zenon_H245 zenon_H2d1 zenon_H1cc zenon_H2d9 zenon_H2e6 zenon_H2a3 zenon_H2e2 zenon_H2ea zenon_H19d zenon_H316 zenon_H30e zenon_H204 zenon_H30b zenon_H301 zenon_H321 zenon_H2c2 zenon_H1f4 zenon_H322 zenon_H325 zenon_H328 zenon_H2b9 zenon_H2c0 zenon_H2fd zenon_H246 zenon_H1a9 zenon_H32e zenon_H206 zenon_H32b zenon_H1f7 zenon_H1e8 zenon_H1fa zenon_H2b1 zenon_H2a5 zenon_H461 zenon_H270 zenon_H522 zenon_H16c zenon_H1de zenon_H1ed zenon_H192 zenon_H36e zenon_Hec zenon_H3b7 zenon_H55 zenon_H399 zenon_H45 zenon_H116 zenon_H38f zenon_H394 zenon_H395 zenon_H3a8 zenon_H3b4 zenon_H3b1 zenon_H39d zenon_H3af zenon_H3bd zenon_H60 zenon_H28c zenon_H93 zenon_H98 zenon_H3b zenon_H33 zenon_H9f.
% 55.20/55.31 apply (zenon_and_s _ _ zenon_H259). zenon_intro zenon_H163. zenon_intro zenon_H25a.
% 55.20/55.31 apply (zenon_and_s _ _ zenon_H25a). zenon_intro zenon_H1fe. zenon_intro zenon_H149.
% 55.20/55.31 apply (zenon_or_s _ _ zenon_Ha5); [ zenon_intro zenon_Ha8 | zenon_intro zenon_Ha7 ].
% 55.20/55.31 apply (zenon_or_s _ _ zenon_H28c); [ zenon_intro zenon_Hb9 | zenon_intro zenon_H28e ].
% 55.20/55.31 apply (zenon_or_s _ _ zenon_H3fd); [ zenon_intro zenon_H285 | zenon_intro zenon_H3ff ].
% 55.20/55.31 apply (zenon_L572_); trivial.
% 55.20/55.31 apply (zenon_or_s _ _ zenon_H3ff); [ zenon_intro zenon_H401 | zenon_intro zenon_H400 ].
% 55.20/55.31 apply (zenon_L969_); trivial.
% 55.20/55.31 apply (zenon_or_s _ _ zenon_H400); [ zenon_intro zenon_Hd3 | zenon_intro zenon_H5f ].
% 55.20/55.31 apply (zenon_L960_); trivial.
% 55.20/55.31 apply (zenon_L15_); trivial.
% 55.20/55.31 apply (zenon_or_s _ _ zenon_H28e); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H28f ].
% 55.20/55.31 exact (zenon_H28d zenon_Hc3).
% 55.20/55.31 apply (zenon_or_s _ _ zenon_H28f); [ zenon_intro zenon_H27f | zenon_intro zenon_H283 ].
% 55.20/55.31 apply (zenon_L134_); trivial.
% 55.20/55.31 apply (zenon_L138_); trivial.
% 55.20/55.31 apply (zenon_or_s _ _ zenon_Ha7); [ zenon_intro zenon_H92 | zenon_intro zenon_Ha9 ].
% 55.20/55.31 apply (zenon_L25_); trivial.
% 55.20/55.31 apply (zenon_or_s _ _ zenon_Ha9); [ zenon_intro zenon_H97 | zenon_intro zenon_H9e ].
% 55.20/55.31 apply (zenon_L26_); trivial.
% 55.20/55.31 apply (zenon_L27_); trivial.
% 55.20/55.31 (* end of lemma zenon_L970_ *)
% 55.20/55.31 assert (zenon_L971_ : ((~((op2 (e22) (e23)) = (e22)))\/(~((op2 (e22) (e22)) = (e23)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> ((op2 (e22) (e20)) = (e20)) -> (~((op2 (e22) (e22)) = (e21))) -> (((op2 (e22) (e22)) = (e20))\/(((op2 (e22) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e22)) = (e23))))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e12))\/((op1 (e11) (e10)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> ((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) -> ((e12) = (op1 (op1 (op1 (e11) (e11)) (op1 (e11) (e11))) (op1 (e11) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((e10) = (e12))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e11)) = (e12))\/((op1 (e10) (e11)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (((op1 (e13) (e13)) = (e10))\/(((op1 (e13) (e13)) = (e11))\/(((op1 (e13) (e13)) = (e12))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (~((e12) = (e13))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> ((((op1 (e10) (e10)) = (e10))/\(((op1 (e10) (e10)) = (e10))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11))))/\(((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12))))/\((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))))))))\/((((op1 (e10) (e11)) = (e10))/\(((op1 (e11) (e10)) = (e10))/\(((~((op1 (e11) (e10)) = (e11)))\/(~((op1 (e11) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e11) (e12)) = (e11)))\/(~((op1 (e11) (e11)) = (e12))))/\((~((op1 (e11) (e13)) = (e11)))\/(~((op1 (e11) (e11)) = (e13)))))))))\/((((op1 (e10) (e12)) = (e10))/\(((op1 (e12) (e10)) = (e10))/\(((~((op1 (e12) (e10)) = (e12)))\/(~((op1 (e12) (e12)) = (e10))))/\(((~((op1 (e12) (e11)) = (e12)))\/(~((op1 (e12) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13)))))))))\/((((op1 (e10) (e13)) = (e10))/\(((op1 (e13) (e10)) = (e10))/\(((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e13) (e13)) = (e10))))/\(((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11))))/\(((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e13) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13)))))))))\/((((op1 (e11) (e10)) = (e11))/\(((op1 (e10) (e11)) = (e11))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11))))/\(((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12))))/\((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))))))))\/((((op1 (e11) (e11)) = (e11))/\(((op1 (e11) (e11)) = (e11))/\(((~((op1 (e11) (e10)) = (e11)))\/(~((op1 (e11) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e11) (e12)) = (e11)))\/(~((op1 (e11) (e11)) = (e12))))/\((~((op1 (e11) (e13)) = (e11)))\/(~((op1 (e11) (e11)) = (e13)))))))))\/((((op1 (e11) (e12)) = (e11))/\(((op1 (e12) (e11)) = (e11))/\(((~((op1 (e12) (e10)) = (e12)))\/(~((op1 (e12) (e12)) = (e10))))/\(((~((op1 (e12) (e11)) = (e12)))\/(~((op1 (e12) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13)))))))))\/((((op1 (e11) (e13)) = (e11))/\(((op1 (e13) (e11)) = (e11))/\(((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e13) (e13)) = (e10))))/\(((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11))))/\(((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e13) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13)))))))))\/((((op1 (e12) (e10)) = (e12))/\(((op1 (e10) (e12)) = (e12))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11))))/\(((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12))))/\((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))))))))\/((((op1 (e12) (e11)) = (e12))/\(((op1 (e11) (e12)) = (e12))/\(((~((op1 (e11) (e10)) = (e11)))\/(~((op1 (e11) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e11) (e12)) = (e11)))\/(~((op1 (e11) (e11)) = (e12))))/\((~((op1 (e11) (e13)) = (e11)))\/(~((op1 (e11) (e11)) = (e13)))))))))\/((((op1 (e12) (e12)) = (e12))/\(((op1 (e12) (e12)) = (e12))/\(((~((op1 (e12) (e10)) = (e12)))\/(~((op1 (e12) (e12)) = (e10))))/\(((~((op1 (e12) (e11)) = (e12)))\/(~((op1 (e12) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13)))))))))\/((((op1 (e12) (e13)) = (e12))/\(((op1 (e13) (e12)) = (e12))/\(((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e13) (e13)) = (e10))))/\(((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11))))/\(((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e13) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13)))))))))\/((((op1 (e13) (e10)) = (e13))/\(((op1 (e10) (e13)) = (e13))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11))))/\(((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12))))/\((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))))))))\/((((op1 (e13) (e11)) = (e13))/\(((op1 (e11) (e13)) = (e13))/\(((~((op1 (e11) (e10)) = (e11)))\/(~((op1 (e11) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e11) (e12)) = (e11)))\/(~((op1 (e11) (e11)) = (e12))))/\((~((op1 (e11) (e13)) = (e11)))\/(~((op1 (e11) (e11)) = (e13)))))))))\/((((op1 (e13) (e12)) = (e13))/\(((op1 (e12) (e13)) = (e13))/\(((~((op1 (e12) (e10)) = (e12)))\/(~((op1 (e12) (e12)) = (e10))))/\(((~((op1 (e12) (e11)) = (e12)))\/(~((op1 (e12) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13)))))))))\/(((op1 (e13) (e13)) = (e13))/\(((op1 (e13) (e13)) = (e13))/\(((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e13) (e13)) = (e10))))/\(((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11))))/\(((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e13) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13)))))))))))))))))))))))) -> ((e10) = (op1 (e11) (e11))) -> (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> (~((e21) = (e22))) -> (~((op2 (e21) (e21)) = (e21))) -> (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> (~((op2 (e22) (e22)) = (e22))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> ((e20) = (op2 (e21) (e21))) -> ((e23) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((e22) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> (((op2 (e20) (e22)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e23) (e22)) = (e23))))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e20)) = (op2 (e23) (e20)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> ((h2 (e13)) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((h2 (e11)) = (e21)) -> (~((h2 (op1 (e13) (e11))) = (op2 (h2 (e13)) (h2 (e11))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e21)) = (e22))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e22)))) -> (((op2 (e20) (e21)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/((op2 (e23) (e21)) = (e23))))) -> (~((e22) = (e23))) -> ((((op1 (e10) (op1 (e10) (e10))) = (e10))/\(((op1 (e10) (op1 (e10) (e11))) = (e11))/\(((op1 (e10) (op1 (e10) (e12))) = (e12))/\(((op1 (e10) (op1 (e10) (e13))) = (e13))/\(((~((op1 (e10) (e10)) = (e10)))\/((op1 (e10) (e10)) = (e10)))/\(((~((op1 (e11) (e11)) = (e10)))\/((op1 (e11) (e10)) = (e11)))/\(((~((op1 (e12) (e12)) = (e10)))\/((op1 (e12) (e10)) = (e12)))/\((~((op1 (e13) (e13)) = (e10)))\/((op1 (e13) (e10)) = (e13))))))))))\/((((op1 (e11) (op1 (e11) (e10))) = (e10))/\(((op1 (e11) (op1 (e11) (e11))) = (e11))/\(((op1 (e11) (op1 (e11) (e12))) = (e12))/\(((op1 (e11) (op1 (e11) (e13))) = (e13))/\(((~((op1 (e10) (e10)) = (e11)))\/((op1 (e10) (e11)) = (e10)))/\(((~((op1 (e11) (e11)) = (e11)))\/((op1 (e11) (e11)) = (e11)))/\(((~((op1 (e12) (e12)) = (e11)))\/((op1 (e12) (e11)) = (e12)))/\((~((op1 (e13) (e13)) = (e11)))\/((op1 (e13) (e11)) = (e13))))))))))\/((((op1 (e12) (op1 (e12) (e10))) = (e10))/\(((op1 (e12) (op1 (e12) (e11))) = (e11))/\(((op1 (e12) (op1 (e12) (e12))) = (e12))/\(((op1 (e12) (op1 (e12) (e13))) = (e13))/\(((~((op1 (e10) (e10)) = (e12)))\/((op1 (e10) (e12)) = (e10)))/\(((~((op1 (e11) (e11)) = (e12)))\/((op1 (e11) (e12)) = (e11)))/\(((~((op1 (e12) (e12)) = (e12)))\/((op1 (e12) (e12)) = (e12)))/\((~((op1 (e13) (e13)) = (e12)))\/((op1 (e13) (e12)) = (e13))))))))))\/(((op1 (e13) (op1 (e13) (e10))) = (e10))/\(((op1 (e13) (op1 (e13) (e11))) = (e11))/\(((op1 (e13) (op1 (e13) (e12))) = (e12))/\(((op1 (e13) (op1 (e13) (e13))) = (e13))/\(((~((op1 (e10) (e10)) = (e13)))\/((op1 (e10) (e13)) = (e10)))/\(((~((op1 (e11) (e11)) = (e13)))\/((op1 (e11) (e13)) = (e11)))/\(((~((op1 (e12) (e12)) = (e13)))\/((op1 (e12) (e13)) = (e12)))/\((~((op1 (e13) (e13)) = (e13)))\/((op1 (e13) (e13)) = (e13))))))))))))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e12) (e13)) = (e10))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e12) (e11)) = (e13))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (((op2 (e20) (e21)) = (e20))\/(((op2 (e20) (e21)) = (e21))\/(((op2 (e20) (e21)) = (e22))\/((op2 (e20) (e21)) = (e23))))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> ((op2 (e21) (op2 (e21) (e23))) = (e23)) -> (((op2 (e21) (e20)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/((op2 (e21) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> (((op2 (e20) (e21)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e23) (e21)) = (e22))))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e20) (e21)) = (e23))\/(((op2 (e20) (e22)) = (e23))\/((op2 (e20) (e23)) = (e23))))) -> False).
% 55.20/55.31 do 0 intro. intros zenon_Hdf zenon_H37d zenon_H121 zenon_H101 zenon_H100 zenon_H15f zenon_H15a zenon_H15 zenon_H155 zenon_H154 zenon_H14b zenon_H186 zenon_H180 zenon_H179 zenon_H172 zenon_H16c zenon_H18a zenon_H18e zenon_H192 zenon_H246 zenon_H19d zenon_H1a0 zenon_H25 zenon_H1e zenon_H17 zenon_H1a9 zenon_H209 zenon_H206 zenon_H204 zenon_H1fd zenon_H1fa zenon_H1f7 zenon_H1f4 zenon_H1ed zenon_H1e8 zenon_H1da zenon_H1d8 zenon_H1cc zenon_H1de zenon_H1b1 zenon_H1be zenon_H20c zenon_H21a zenon_H236 zenon_H23b zenon_H245 zenon_H13 zenon_H28c zenon_H27e zenon_H28d zenon_Hf1 zenon_Hd7 zenon_H286 zenon_H33 zenon_H3b zenon_H3f zenon_Hb0 zenon_H43a zenon_H3cb zenon_H55 zenon_H313 zenon_H2ad zenon_H316 zenon_H360 zenon_H2f8 zenon_H301 zenon_H461 zenon_H270 zenon_H522 zenon_H2b9 zenon_H2e7 zenon_H2c0 zenon_H2c2 zenon_Hfc zenon_H3b1 zenon_H3af zenon_H60 zenon_H282 zenon_H39d zenon_H3b7 zenon_H437 zenon_H98 zenon_H3bd zenon_Hec zenon_H36e zenon_H358 zenon_H355 zenon_H345 zenon_H35d zenon_H2d1 zenon_H2c9 zenon_H2d9 zenon_H2e6 zenon_H2e2 zenon_H2ea zenon_H30e zenon_H30b zenon_H321 zenon_H322 zenon_H325 zenon_H328 zenon_H2f6 zenon_H2fb zenon_H2fd zenon_H32e zenon_H32b zenon_H2b1 zenon_H2a5 zenon_H2a3 zenon_H3b4 zenon_H289 zenon_H8d zenon_H45 zenon_H116 zenon_H38f zenon_H394 zenon_H395 zenon_H399 zenon_H3a8 zenon_H9f zenon_H93 zenon_H3fd zenon_Ha5.
% 55.20/55.31 apply (zenon_or_s _ _ zenon_Hdf); [ zenon_intro zenon_H281 | zenon_intro zenon_H37f ].
% 55.20/55.31 apply (zenon_or_s _ _ zenon_H36e); [ zenon_intro zenon_H244 | zenon_intro zenon_H36f ].
% 55.20/55.31 apply (zenon_L126_); trivial.
% 55.20/55.31 apply (zenon_or_s _ _ zenon_H36f); [ zenon_intro zenon_H371 | zenon_intro zenon_H370 ].
% 55.20/55.31 apply (zenon_and_s _ _ zenon_H371). zenon_intro zenon_H292. zenon_intro zenon_H372.
% 55.20/55.31 apply (zenon_and_s _ _ zenon_H372). zenon_intro zenon_H2a6. zenon_intro zenon_H373.
% 55.20/55.31 apply (zenon_and_s _ _ zenon_H373). zenon_intro zenon_H375. zenon_intro zenon_H374.
% 55.20/55.31 apply (zenon_and_s _ _ zenon_H374). zenon_intro zenon_H29e. zenon_intro zenon_H376.
% 55.20/55.31 apply (zenon_and_s _ _ zenon_H376). zenon_intro zenon_H378. zenon_intro zenon_H377.
% 55.20/55.31 apply (zenon_and_s _ _ zenon_H377). zenon_intro zenon_H37a. zenon_intro zenon_H379.
% 55.20/55.31 apply (zenon_and_s _ _ zenon_H379). zenon_intro zenon_H37c. zenon_intro zenon_H37b.
% 55.20/55.31 apply (zenon_or_s _ _ zenon_H37c); [ zenon_intro zenon_H23f | zenon_intro zenon_H202 ].
% 55.20/55.31 apply (zenon_or_s _ _ zenon_H37b); [ zenon_intro zenon_H20d | zenon_intro zenon_H1c3 ].
% 55.20/55.31 apply (zenon_or_s _ _ zenon_H245); [ zenon_intro zenon_H147 | zenon_intro zenon_H254 ].
% 55.20/55.31 apply (zenon_L60_); trivial.
% 55.20/55.31 apply (zenon_or_s _ _ zenon_H254); [ zenon_intro zenon_H164 | zenon_intro zenon_H255 ].
% 55.20/55.31 apply (zenon_L66_); trivial.
% 55.20/55.31 apply (zenon_or_s _ _ zenon_H255); [ zenon_intro zenon_H197 | zenon_intro zenon_H256 ].
% 55.20/55.31 apply (zenon_L964_); trivial.
% 55.20/55.31 apply (zenon_or_s _ _ zenon_H256); [ zenon_intro zenon_H199 | zenon_intro zenon_H257 ].
% 55.20/55.31 apply (zenon_L77_); trivial.
% 55.20/55.31 apply (zenon_or_s _ _ zenon_H257); [ zenon_intro zenon_H259 | zenon_intro zenon_H258 ].
% 55.20/55.31 apply (zenon_L966_); trivial.
% 55.20/55.31 apply (zenon_or_s _ _ zenon_H258); [ zenon_intro zenon_H1a5 | zenon_intro zenon_H262 ].
% 55.20/55.31 apply (zenon_L80_); trivial.
% 55.20/55.31 apply (zenon_or_s _ _ zenon_H262); [ zenon_intro zenon_H1ae | zenon_intro zenon_H263 ].
% 55.20/55.31 apply (zenon_L83_); trivial.
% 55.20/55.31 apply (zenon_or_s _ _ zenon_H263); [ zenon_intro zenon_H212 | zenon_intro zenon_H264 ].
% 55.20/55.31 apply (zenon_L161_); trivial.
% 55.20/55.31 apply (zenon_or_s _ _ zenon_H264); [ zenon_intro zenon_H220 | zenon_intro zenon_H265 ].
% 55.20/55.31 apply (zenon_L110_); trivial.
% 55.20/55.31 apply (zenon_or_s _ _ zenon_H265); [ zenon_intro zenon_H222 | zenon_intro zenon_H266 ].
% 55.20/55.31 apply (zenon_L111_); trivial.
% 55.20/55.31 apply (zenon_or_s _ _ zenon_H266); [ zenon_intro zenon_H225 | zenon_intro zenon_H267 ].
% 55.20/55.31 apply (zenon_L113_); trivial.
% 55.20/55.31 apply (zenon_or_s _ _ zenon_H267); [ zenon_intro zenon_H22d | zenon_intro zenon_H268 ].
% 55.20/55.31 apply (zenon_L114_); trivial.
% 55.20/55.31 apply (zenon_or_s _ _ zenon_H268); [ zenon_intro zenon_H230 | zenon_intro zenon_H269 ].
% 55.20/55.31 apply (zenon_L115_); trivial.
% 55.20/55.31 apply (zenon_or_s _ _ zenon_H269); [ zenon_intro zenon_H232 | zenon_intro zenon_H26a ].
% 55.20/55.31 apply (zenon_L116_); trivial.
% 55.20/55.31 apply (zenon_or_s _ _ zenon_H26a); [ zenon_intro zenon_H240 | zenon_intro zenon_H242 ].
% 55.20/55.31 apply (zenon_L166_); trivial.
% 55.20/55.31 apply (zenon_L125_); trivial.
% 55.20/55.31 apply (zenon_or_s _ _ zenon_H245); [ zenon_intro zenon_H147 | zenon_intro zenon_H254 ].
% 55.20/55.31 apply (zenon_L60_); trivial.
% 55.20/55.31 apply (zenon_or_s _ _ zenon_H254); [ zenon_intro zenon_H164 | zenon_intro zenon_H255 ].
% 55.20/55.31 apply (zenon_L66_); trivial.
% 55.20/55.31 apply (zenon_or_s _ _ zenon_H255); [ zenon_intro zenon_H197 | zenon_intro zenon_H256 ].
% 55.20/55.31 apply (zenon_L964_); trivial.
% 55.20/55.31 apply (zenon_or_s _ _ zenon_H256); [ zenon_intro zenon_H199 | zenon_intro zenon_H257 ].
% 55.20/55.31 apply (zenon_L77_); trivial.
% 55.20/55.31 apply (zenon_or_s _ _ zenon_H257); [ zenon_intro zenon_H259 | zenon_intro zenon_H258 ].
% 55.20/55.31 apply (zenon_L966_); trivial.
% 55.20/55.31 apply (zenon_or_s _ _ zenon_H258); [ zenon_intro zenon_H1a5 | zenon_intro zenon_H262 ].
% 55.20/55.31 apply (zenon_L80_); trivial.
% 55.20/55.31 apply (zenon_or_s _ _ zenon_H262); [ zenon_intro zenon_H1ae | zenon_intro zenon_H263 ].
% 55.20/55.31 apply (zenon_L83_); trivial.
% 55.20/55.31 apply (zenon_or_s _ _ zenon_H263); [ zenon_intro zenon_H212 | zenon_intro zenon_H264 ].
% 55.20/55.31 apply (zenon_L167_); trivial.
% 55.20/55.31 apply (zenon_or_s _ _ zenon_H264); [ zenon_intro zenon_H220 | zenon_intro zenon_H265 ].
% 55.20/55.31 apply (zenon_L110_); trivial.
% 55.20/55.31 apply (zenon_or_s _ _ zenon_H265); [ zenon_intro zenon_H222 | zenon_intro zenon_H266 ].
% 55.20/55.31 apply (zenon_L111_); trivial.
% 55.20/55.31 apply (zenon_or_s _ _ zenon_H266); [ zenon_intro zenon_H225 | zenon_intro zenon_H267 ].
% 55.20/55.32 apply (zenon_L113_); trivial.
% 55.20/55.32 apply (zenon_or_s _ _ zenon_H267); [ zenon_intro zenon_H22d | zenon_intro zenon_H268 ].
% 55.20/55.32 apply (zenon_L114_); trivial.
% 55.20/55.32 apply (zenon_or_s _ _ zenon_H268); [ zenon_intro zenon_H230 | zenon_intro zenon_H269 ].
% 55.20/55.32 apply (zenon_L115_); trivial.
% 55.20/55.32 apply (zenon_or_s _ _ zenon_H269); [ zenon_intro zenon_H232 | zenon_intro zenon_H26a ].
% 55.20/55.32 apply (zenon_L116_); trivial.
% 55.20/55.32 apply (zenon_or_s _ _ zenon_H26a); [ zenon_intro zenon_H240 | zenon_intro zenon_H242 ].
% 55.20/55.32 apply (zenon_L166_); trivial.
% 55.20/55.32 apply (zenon_L125_); trivial.
% 55.20/55.32 apply (zenon_or_s _ _ zenon_H245); [ zenon_intro zenon_H147 | zenon_intro zenon_H254 ].
% 55.20/55.32 apply (zenon_L60_); trivial.
% 55.20/55.32 apply (zenon_or_s _ _ zenon_H254); [ zenon_intro zenon_H164 | zenon_intro zenon_H255 ].
% 55.20/55.32 apply (zenon_L66_); trivial.
% 55.20/55.32 apply (zenon_or_s _ _ zenon_H255); [ zenon_intro zenon_H197 | zenon_intro zenon_H256 ].
% 55.20/55.32 apply (zenon_L967_); trivial.
% 55.20/55.32 apply (zenon_or_s _ _ zenon_H256); [ zenon_intro zenon_H199 | zenon_intro zenon_H257 ].
% 55.20/55.32 apply (zenon_L77_); trivial.
% 55.20/55.32 apply (zenon_or_s _ _ zenon_H257); [ zenon_intro zenon_H259 | zenon_intro zenon_H258 ].
% 55.20/55.32 apply (zenon_L970_); trivial.
% 55.20/55.32 apply (zenon_or_s _ _ zenon_H258); [ zenon_intro zenon_H1a5 | zenon_intro zenon_H262 ].
% 55.20/55.32 apply (zenon_L80_); trivial.
% 55.20/55.32 apply (zenon_or_s _ _ zenon_H262); [ zenon_intro zenon_H1ae | zenon_intro zenon_H263 ].
% 55.20/55.32 apply (zenon_L83_); trivial.
% 55.20/55.32 apply (zenon_or_s _ _ zenon_H263); [ zenon_intro zenon_H212 | zenon_intro zenon_H264 ].
% 55.20/55.32 apply (zenon_L169_); trivial.
% 55.20/55.32 apply (zenon_or_s _ _ zenon_H264); [ zenon_intro zenon_H220 | zenon_intro zenon_H265 ].
% 55.20/55.32 apply (zenon_L110_); trivial.
% 55.20/55.32 apply (zenon_or_s _ _ zenon_H265); [ zenon_intro zenon_H222 | zenon_intro zenon_H266 ].
% 55.20/55.32 apply (zenon_L111_); trivial.
% 55.20/55.32 apply (zenon_or_s _ _ zenon_H266); [ zenon_intro zenon_H225 | zenon_intro zenon_H267 ].
% 55.20/55.32 apply (zenon_L113_); trivial.
% 55.20/55.32 apply (zenon_or_s _ _ zenon_H267); [ zenon_intro zenon_H22d | zenon_intro zenon_H268 ].
% 55.20/55.32 apply (zenon_L114_); trivial.
% 55.20/55.32 apply (zenon_or_s _ _ zenon_H268); [ zenon_intro zenon_H230 | zenon_intro zenon_H269 ].
% 55.20/55.32 apply (zenon_L115_); trivial.
% 55.20/55.32 apply (zenon_or_s _ _ zenon_H269); [ zenon_intro zenon_H232 | zenon_intro zenon_H26a ].
% 55.20/55.32 apply (zenon_L116_); trivial.
% 55.20/55.32 apply (zenon_or_s _ _ zenon_H26a); [ zenon_intro zenon_H240 | zenon_intro zenon_H242 ].
% 55.20/55.32 apply (zenon_L166_); trivial.
% 55.20/55.32 apply (zenon_L125_); trivial.
% 55.20/55.32 apply (zenon_or_s _ _ zenon_H370); [ zenon_intro zenon_H335 | zenon_intro zenon_H363 ].
% 55.20/55.32 apply (zenon_L260_); trivial.
% 55.20/55.32 apply (zenon_L307_); trivial.
% 55.20/55.32 apply (zenon_L310_); trivial.
% 55.20/55.32 (* end of lemma zenon_L971_ *)
% 55.20/55.32 assert (zenon_L972_ : (((op2 (e20) (e22)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e23) (e22)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e22)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e23)) = (e20))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> ((e22) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> ((op2 (e20) (e21)) = (e21)) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> (((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e21)) = (e22))\/((op2 (e23) (e21)) = (e23))))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> ((e10) = (op1 (e11) (e11))) -> ((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> ((op1 (e11) (op1 (e11) (e13))) = (e13)) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> ((e12) = (op1 (op1 (op1 (e11) (e11)) (op1 (e11) (e11))) (op1 (e11) (e11)))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e12))\/((op1 (e11) (e10)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e11)) = (e12))\/((op1 (e10) (e11)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> ((h2 (e11)) = (e21)) -> ((h2 (e13)) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> (~((h2 (op1 (e13) (e11))) = (op2 (h2 (e13)) (h2 (e11))))) -> (~((e12) = (e13))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (~((e10) = (e12))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> ((((op1 (e10) (e10)) = (e10))/\(((op1 (e10) (e10)) = (e10))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11))))/\(((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12))))/\((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))))))))\/((((op1 (e10) (e11)) = (e10))/\(((op1 (e11) (e10)) = (e10))/\(((~((op1 (e11) (e10)) = (e11)))\/(~((op1 (e11) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e11) (e12)) = (e11)))\/(~((op1 (e11) (e11)) = (e12))))/\((~((op1 (e11) (e13)) = (e11)))\/(~((op1 (e11) (e11)) = (e13)))))))))\/((((op1 (e10) (e12)) = (e10))/\(((op1 (e12) (e10)) = (e10))/\(((~((op1 (e12) (e10)) = (e12)))\/(~((op1 (e12) (e12)) = (e10))))/\(((~((op1 (e12) (e11)) = (e12)))\/(~((op1 (e12) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13)))))))))\/((((op1 (e10) (e13)) = (e10))/\(((op1 (e13) (e10)) = (e10))/\(((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e13) (e13)) = (e10))))/\(((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11))))/\(((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e13) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13)))))))))\/((((op1 (e11) (e10)) = (e11))/\(((op1 (e10) (e11)) = (e11))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11))))/\(((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12))))/\((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))))))))\/((((op1 (e11) (e11)) = (e11))/\(((op1 (e11) (e11)) = (e11))/\(((~((op1 (e11) (e10)) = (e11)))\/(~((op1 (e11) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e11) (e12)) = (e11)))\/(~((op1 (e11) (e11)) = (e12))))/\((~((op1 (e11) (e13)) = (e11)))\/(~((op1 (e11) (e11)) = (e13)))))))))\/((((op1 (e11) (e12)) = (e11))/\(((op1 (e12) (e11)) = (e11))/\(((~((op1 (e12) (e10)) = (e12)))\/(~((op1 (e12) (e12)) = (e10))))/\(((~((op1 (e12) (e11)) = (e12)))\/(~((op1 (e12) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13)))))))))\/((((op1 (e11) (e13)) = (e11))/\(((op1 (e13) (e11)) = (e11))/\(((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e13) (e13)) = (e10))))/\(((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11))))/\(((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e13) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13)))))))))\/((((op1 (e12) (e10)) = (e12))/\(((op1 (e10) (e12)) = (e12))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11))))/\(((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12))))/\((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))))))))\/((((op1 (e12) (e11)) = (e12))/\(((op1 (e11) (e12)) = (e12))/\(((~((op1 (e11) (e10)) = (e11)))\/(~((op1 (e11) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e11) (e12)) = (e11)))\/(~((op1 (e11) (e11)) = (e12))))/\((~((op1 (e11) (e13)) = (e11)))\/(~((op1 (e11) (e11)) = (e13)))))))))\/((((op1 (e12) (e12)) = (e12))/\(((op1 (e12) (e12)) = (e12))/\(((~((op1 (e12) (e10)) = (e12)))\/(~((op1 (e12) (e12)) = (e10))))/\(((~((op1 (e12) (e11)) = (e12)))\/(~((op1 (e12) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13)))))))))\/((((op1 (e12) (e13)) = (e12))/\(((op1 (e13) (e12)) = (e12))/\(((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e13) (e13)) = (e10))))/\(((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11))))/\(((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e13) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13)))))))))\/((((op1 (e13) (e10)) = (e13))/\(((op1 (e10) (e13)) = (e13))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11))))/\(((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12))))/\((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))))))))\/((((op1 (e13) (e11)) = (e13))/\(((op1 (e11) (e13)) = (e13))/\(((~((op1 (e11) (e10)) = (e11)))\/(~((op1 (e11) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e11) (e12)) = (e11)))\/(~((op1 (e11) (e11)) = (e12))))/\((~((op1 (e11) (e13)) = (e11)))\/(~((op1 (e11) (e11)) = (e13)))))))))\/((((op1 (e13) (e12)) = (e13))/\(((op1 (e12) (e13)) = (e13))/\(((~((op1 (e12) (e10)) = (e12)))\/(~((op1 (e12) (e12)) = (e10))))/\(((~((op1 (e12) (e11)) = (e12)))\/(~((op1 (e12) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13)))))))))\/(((op1 (e13) (e13)) = (e13))/\(((op1 (e13) (e13)) = (e13))/\(((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e13) (e13)) = (e10))))/\(((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11))))/\(((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e13) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13)))))))))))))))))))))))) -> (~((op1 (e12) (e12)) = (e12))) -> (~((op1 (e12) (e13)) = (e12))) -> (~((op2 (e20) (e20)) = (op2 (e23) (e20)))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (((op2 (e22) (e22)) = (e20))\/(((op2 (e22) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e22)) = (e23))))) -> ((op2 (e22) (e20)) = (e20)) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> (~((op2 (e22) (e22)) = (e21))) -> ((op2 (e21) (e22)) = (e22)) -> ((op2 (e21) (op2 (e21) (e22))) = (e22)) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> ((e23) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((op2 (e20) (e20)) = (e23)) -> ((e20) = (op2 (e21) (e21))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> False).
% 55.20/55.32 do 0 intro. intros zenon_H43a zenon_H98 zenon_H9f zenon_H3a8 zenon_H3c2 zenon_Had zenon_H489 zenon_H3af zenon_H3f zenon_H60 zenon_H282 zenon_Hb9 zenon_H39d zenon_H3b1 zenon_H2c2 zenon_H15a zenon_H2b9 zenon_H13 zenon_H15 zenon_H1f4 zenon_H2c0 zenon_H29e zenon_H14b zenon_H154 zenon_H155 zenon_H15f zenon_H25 zenon_H179 zenon_H21a zenon_H186 zenon_H17 zenon_H204 zenon_H1fd zenon_H19d zenon_H206 zenon_H172 zenon_H180 zenon_H1a9 zenon_H1a0 zenon_H270 zenon_H461 zenon_H522 zenon_H236 zenon_H2e7 zenon_H2ad zenon_H360 zenon_H1cc zenon_H2f8 zenon_H18a zenon_H301 zenon_H316 zenon_H1d8 zenon_H1b1 zenon_H1be zenon_H313 zenon_H1e zenon_H16c zenon_H23b zenon_H245 zenon_H1d1 zenon_H27d zenon_H55 zenon_H3b7 zenon_H100 zenon_H121 zenon_H37d zenon_H101 zenon_Hd4 zenon_H481 zenon_H40c zenon_H3b zenon_Ha8 zenon_H33 zenon_Hfc.
% 55.20/55.32 apply (zenon_or_s _ _ zenon_H43a); [ zenon_intro zenon_H97 | zenon_intro zenon_H43b ].
% 55.20/55.32 apply (zenon_L26_); trivial.
% 55.20/55.32 apply (zenon_or_s _ _ zenon_H43b); [ zenon_intro zenon_H38e | zenon_intro zenon_H43c ].
% 55.20/55.32 apply (zenon_L590_); trivial.
% 55.20/55.32 apply (zenon_or_s _ _ zenon_H43c); [ zenon_intro zenon_Hf6 | zenon_intro zenon_Hfb ].
% 55.20/55.32 apply (zenon_L953_); trivial.
% 55.20/55.32 apply (zenon_L799_); trivial.
% 55.20/55.32 (* end of lemma zenon_L972_ *)
% 55.20/55.32 assert (zenon_L973_ : (((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e20)) = (e20))\/(((op2 (e22) (e20)) = (e20))\/((op2 (e23) (e20)) = (e20))))) -> (~((op2 (e20) (e20)) = (e20))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e22)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e22) (e22)) = (e21))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> (((op2 (e22) (e22)) = (e20))\/(((op2 (e22) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e22)) = (e23))))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e23) (e20)))) -> (~((op1 (e12) (e13)) = (e12))) -> (~((op1 (e12) (e12)) = (e12))) -> ((((op1 (e10) (e10)) = (e10))/\(((op1 (e10) (e10)) = (e10))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11))))/\(((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12))))/\((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))))))))\/((((op1 (e10) (e11)) = (e10))/\(((op1 (e11) (e10)) = (e10))/\(((~((op1 (e11) (e10)) = (e11)))\/(~((op1 (e11) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e11) (e12)) = (e11)))\/(~((op1 (e11) (e11)) = (e12))))/\((~((op1 (e11) (e13)) = (e11)))\/(~((op1 (e11) (e11)) = (e13)))))))))\/((((op1 (e10) (e12)) = (e10))/\(((op1 (e12) (e10)) = (e10))/\(((~((op1 (e12) (e10)) = (e12)))\/(~((op1 (e12) (e12)) = (e10))))/\(((~((op1 (e12) (e11)) = (e12)))\/(~((op1 (e12) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13)))))))))\/((((op1 (e10) (e13)) = (e10))/\(((op1 (e13) (e10)) = (e10))/\(((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e13) (e13)) = (e10))))/\(((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11))))/\(((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e13) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13)))))))))\/((((op1 (e11) (e10)) = (e11))/\(((op1 (e10) (e11)) = (e11))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11))))/\(((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12))))/\((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))))))))\/((((op1 (e11) (e11)) = (e11))/\(((op1 (e11) (e11)) = (e11))/\(((~((op1 (e11) (e10)) = (e11)))\/(~((op1 (e11) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e11) (e12)) = (e11)))\/(~((op1 (e11) (e11)) = (e12))))/\((~((op1 (e11) (e13)) = (e11)))\/(~((op1 (e11) (e11)) = (e13)))))))))\/((((op1 (e11) (e12)) = (e11))/\(((op1 (e12) (e11)) = (e11))/\(((~((op1 (e12) (e10)) = (e12)))\/(~((op1 (e12) (e12)) = (e10))))/\(((~((op1 (e12) (e11)) = (e12)))\/(~((op1 (e12) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13)))))))))\/((((op1 (e11) (e13)) = (e11))/\(((op1 (e13) (e11)) = (e11))/\(((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e13) (e13)) = (e10))))/\(((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11))))/\(((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e13) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13)))))))))\/((((op1 (e12) (e10)) = (e12))/\(((op1 (e10) (e12)) = (e12))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11))))/\(((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12))))/\((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))))))))\/((((op1 (e12) (e11)) = (e12))/\(((op1 (e11) (e12)) = (e12))/\(((~((op1 (e11) (e10)) = (e11)))\/(~((op1 (e11) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e11) (e12)) = (e11)))\/(~((op1 (e11) (e11)) = (e12))))/\((~((op1 (e11) (e13)) = (e11)))\/(~((op1 (e11) (e11)) = (e13)))))))))\/((((op1 (e12) (e12)) = (e12))/\(((op1 (e12) (e12)) = (e12))/\(((~((op1 (e12) (e10)) = (e12)))\/(~((op1 (e12) (e12)) = (e10))))/\(((~((op1 (e12) (e11)) = (e12)))\/(~((op1 (e12) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13)))))))))\/((((op1 (e12) (e13)) = (e12))/\(((op1 (e13) (e12)) = (e12))/\(((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e13) (e13)) = (e10))))/\(((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11))))/\(((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e13) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13)))))))))\/((((op1 (e13) (e10)) = (e13))/\(((op1 (e10) (e13)) = (e13))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11))))/\(((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12))))/\((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))))))))\/((((op1 (e13) (e11)) = (e13))/\(((op1 (e11) (e13)) = (e13))/\(((~((op1 (e11) (e10)) = (e11)))\/(~((op1 (e11) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e11) (e12)) = (e11)))\/(~((op1 (e11) (e11)) = (e12))))/\((~((op1 (e11) (e13)) = (e11)))\/(~((op1 (e11) (e11)) = (e13)))))))))\/((((op1 (e13) (e12)) = (e13))/\(((op1 (e12) (e13)) = (e13))/\(((~((op1 (e12) (e10)) = (e12)))\/(~((op1 (e12) (e12)) = (e10))))/\(((~((op1 (e12) (e11)) = (e12)))\/(~((op1 (e12) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13)))))))))\/(((op1 (e13) (e13)) = (e13))/\(((op1 (e13) (e13)) = (e13))/\(((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e13) (e13)) = (e10))))/\(((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11))))/\(((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e13) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13)))))))))))))))))))))))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((e10) = (e12))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((e12) = (e13))) -> (~((h2 (op1 (e13) (e11))) = (op2 (h2 (e13)) (h2 (e11))))) -> ((h2 (e13)) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((h2 (e11)) = (e21)) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e11)) = (e12))\/((op1 (e10) (e11)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e12))\/((op1 (e11) (e10)) = (e13))))) -> ((e12) = (op1 (op1 (op1 (e11) (e11)) (op1 (e11) (e11))) (op1 (e11) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> ((op1 (e11) (op1 (e11) (e13))) = (e13)) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> ((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) -> ((e10) = (op1 (e11) (e11))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (((op2 (e20) (e22)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e23) (e22)) = (e23))))) -> (((op2 (e21) (e20)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/((op2 (e21) (e23)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> (((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e21)) = (e22))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> ((op2 (e21) (op2 (e21) (e22))) = (e22)) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> ((op2 (e20) (e21)) = (e21)) -> (~((op2 (e20) (e23)) = (e20))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e21) (e22)) = (op2 (e21) (e23)))) -> ((op2 (e21) (op2 (e21) (e23))) = (e23)) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e20) (e21)) = (e23))\/(((op2 (e20) (e22)) = (e23))\/((op2 (e20) (e23)) = (e23))))) -> (((op2 (e23) (e20)) = (e22))\/(((op2 (e23) (e21)) = (e22))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((e20) = (e22))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> ((e22) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> ((e20) = (op2 (e21) (e21))) -> ((e23) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> False).
% 55.20/55.32 do 0 intro. intros zenon_H4e6 zenon_H31 zenon_H32 zenon_H9f zenon_H98 zenon_H93 zenon_H4ae zenon_H3e zenon_H3cb zenon_H437 zenon_Hfc zenon_H40c zenon_H101 zenon_H37d zenon_H100 zenon_H3b7 zenon_H55 zenon_H27d zenon_H1d1 zenon_H245 zenon_H23b zenon_H16c zenon_H1e zenon_H313 zenon_H1be zenon_H1b1 zenon_H1d8 zenon_H316 zenon_H301 zenon_H18a zenon_H2f8 zenon_H1cc zenon_H360 zenon_H2ad zenon_H2e7 zenon_H236 zenon_H522 zenon_H461 zenon_H270 zenon_H1a0 zenon_H1a9 zenon_H180 zenon_H172 zenon_H206 zenon_H19d zenon_H1fd zenon_H204 zenon_H17 zenon_H186 zenon_H21a zenon_H179 zenon_H25 zenon_H15f zenon_H155 zenon_H154 zenon_H14b zenon_H29e zenon_H2c0 zenon_H1f4 zenon_H15 zenon_H13 zenon_H2b9 zenon_H15a zenon_H2c2 zenon_H43a zenon_H399 zenon_H45 zenon_H3af zenon_H282 zenon_H39d zenon_H3b1 zenon_H116 zenon_H3b4 zenon_H481 zenon_H3a8 zenon_H3c2 zenon_Hb9 zenon_Had zenon_H489 zenon_H47a zenon_H395 zenon_Ha5 zenon_H74 zenon_H4e2 zenon_H60 zenon_H67 zenon_H3f zenon_H33 zenon_H3b zenon_H6e.
% 55.20/55.32 apply (zenon_or_s _ _ zenon_H4e6); [ zenon_intro zenon_H2d | zenon_intro zenon_H4e7 ].
% 55.20/55.32 exact (zenon_H31 zenon_H2d).
% 55.20/55.32 apply (zenon_or_s _ _ zenon_H4e7); [ zenon_intro zenon_H34 | zenon_intro zenon_H4e8 ].
% 55.20/55.32 apply (zenon_L6_); trivial.
% 55.20/55.32 apply (zenon_or_s _ _ zenon_H4e8); [ zenon_intro zenon_H121 | zenon_intro zenon_H80 ].
% 55.20/55.32 apply (zenon_or_s _ _ zenon_Ha5); [ zenon_intro zenon_Ha8 | zenon_intro zenon_Ha7 ].
% 55.20/55.32 apply (zenon_or_s _ _ zenon_H4ae); [ zenon_intro zenon_H40 | zenon_intro zenon_H4af ].
% 55.20/55.32 apply (zenon_L8_); trivial.
% 55.20/55.32 apply (zenon_or_s _ _ zenon_H4af); [ zenon_intro zenon_H401 | zenon_intro zenon_H4b0 ].
% 55.20/55.32 apply (zenon_L954_); trivial.
% 55.20/55.32 apply (zenon_or_s _ _ zenon_H4b0); [ zenon_intro zenon_Hd4 | zenon_intro zenon_H478 ].
% 55.20/55.32 apply (zenon_L972_); trivial.
% 55.20/55.32 apply (zenon_L712_); trivial.
% 55.20/55.32 apply (zenon_or_s _ _ zenon_Ha7); [ zenon_intro zenon_H92 | zenon_intro zenon_Ha9 ].
% 55.20/55.32 apply (zenon_L25_); trivial.
% 55.20/55.32 apply (zenon_or_s _ _ zenon_Ha9); [ zenon_intro zenon_H97 | zenon_intro zenon_H9e ].
% 55.20/55.32 apply (zenon_L26_); trivial.
% 55.20/55.32 apply (zenon_L27_); trivial.
% 55.20/55.32 apply (zenon_L736_); trivial.
% 55.20/55.32 (* end of lemma zenon_L973_ *)
% 55.20/55.32 assert (zenon_L974_ : ((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13)))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (~((op1 (e12) (e12)) = (e11))) -> ((op1 (e10) (e12)) = (e10)) -> ((op1 (e12) (e10)) = (e10)) -> ((op1 (e11) (op1 (e11) (e10))) = (e10)) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((op2 (e20) (e20)) = (e20))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> ((e20) = (op2 (e21) (e21))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e20) (e21)) = (e23))\/(((op2 (e20) (e22)) = (e23))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> ((e22) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> ((e23) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> (((op2 (e20) (e22)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e23) (e22)) = (e23))))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e20)) = (op2 (e23) (e20)))) -> (~((op1 (e12) (e12)) = (e12))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e12))\/((op1 (e11) (e10)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((e12) = (e13))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> ((op1 (e11) (op1 (e11) (e13))) = (e13)) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (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 (e12) (e11)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e11)) = (e12))\/((op1 (e10) (e11)) = (e13))))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> ((h2 (e13)) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((h2 (e11)) = (e21)) -> (~((h2 (op1 (e13) (e11))) = (op2 (h2 (e13)) (h2 (e11))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((e10) = (e12))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> ((((op1 (e10) (e10)) = (e10))/\(((op1 (e10) (e10)) = (e10))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11))))/\(((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12))))/\((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))))))))\/((((op1 (e10) (e11)) = (e10))/\(((op1 (e11) (e10)) = (e10))/\(((~((op1 (e11) (e10)) = (e11)))\/(~((op1 (e11) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e11) (e12)) = (e11)))\/(~((op1 (e11) (e11)) = (e12))))/\((~((op1 (e11) (e13)) = (e11)))\/(~((op1 (e11) (e11)) = (e13)))))))))\/((((op1 (e10) (e12)) = (e10))/\(((op1 (e12) (e10)) = (e10))/\(((~((op1 (e12) (e10)) = (e12)))\/(~((op1 (e12) (e12)) = (e10))))/\(((~((op1 (e12) (e11)) = (e12)))\/(~((op1 (e12) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13)))))))))\/((((op1 (e10) (e13)) = (e10))/\(((op1 (e13) (e10)) = (e10))/\(((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e13) (e13)) = (e10))))/\(((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11))))/\(((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e13) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13)))))))))\/((((op1 (e11) (e10)) = (e11))/\(((op1 (e10) (e11)) = (e11))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11))))/\(((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12))))/\((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))))))))\/((((op1 (e11) (e11)) = (e11))/\(((op1 (e11) (e11)) = (e11))/\(((~((op1 (e11) (e10)) = (e11)))\/(~((op1 (e11) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e11) (e12)) = (e11)))\/(~((op1 (e11) (e11)) = (e12))))/\((~((op1 (e11) (e13)) = (e11)))\/(~((op1 (e11) (e11)) = (e13)))))))))\/((((op1 (e11) (e12)) = (e11))/\(((op1 (e12) (e11)) = (e11))/\(((~((op1 (e12) (e10)) = (e12)))\/(~((op1 (e12) (e12)) = (e10))))/\(((~((op1 (e12) (e11)) = (e12)))\/(~((op1 (e12) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13)))))))))\/((((op1 (e11) (e13)) = (e11))/\(((op1 (e13) (e11)) = (e11))/\(((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e13) (e13)) = (e10))))/\(((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11))))/\(((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e13) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13)))))))))\/((((op1 (e12) (e10)) = (e12))/\(((op1 (e10) (e12)) = (e12))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11))))/\(((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12))))/\((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))))))))\/((((op1 (e12) (e11)) = (e12))/\(((op1 (e11) (e12)) = (e12))/\(((~((op1 (e11) (e10)) = (e11)))\/(~((op1 (e11) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e11) (e12)) = (e11)))\/(~((op1 (e11) (e11)) = (e12))))/\((~((op1 (e11) (e13)) = (e11)))\/(~((op1 (e11) (e11)) = (e13)))))))))\/((((op1 (e12) (e12)) = (e12))/\(((op1 (e12) (e12)) = (e12))/\(((~((op1 (e12) (e10)) = (e12)))\/(~((op1 (e12) (e12)) = (e10))))/\(((~((op1 (e12) (e11)) = (e12)))\/(~((op1 (e12) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13)))))))))\/((((op1 (e12) (e13)) = (e12))/\(((op1 (e13) (e12)) = (e12))/\(((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e13) (e13)) = (e10))))/\(((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11))))/\(((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e13) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13)))))))))\/((((op1 (e13) (e10)) = (e13))/\(((op1 (e10) (e13)) = (e13))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11))))/\(((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12))))/\((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))))))))\/((((op1 (e13) (e11)) = (e13))/\(((op1 (e11) (e13)) = (e13))/\(((~((op1 (e11) (e10)) = (e11)))\/(~((op1 (e11) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e11) (e12)) = (e11)))\/(~((op1 (e11) (e11)) = (e12))))/\((~((op1 (e11) (e13)) = (e11)))\/(~((op1 (e11) (e11)) = (e13)))))))))\/((((op1 (e13) (e12)) = (e13))/\(((op1 (e12) (e13)) = (e13))/\(((~((op1 (e12) (e10)) = (e12)))\/(~((op1 (e12) (e12)) = (e10))))/\(((~((op1 (e12) (e11)) = (e12)))\/(~((op1 (e12) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13)))))))))\/(((op1 (e13) (e13)) = (e13))/\(((op1 (e13) (e13)) = (e13))/\(((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e13) (e13)) = (e10))))/\(((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11))))/\(((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e13) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13)))))))))))))))))))))))) -> ((e10) = (op1 (e11) (e11))) -> ((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) -> ((e12) = (op1 (op1 (op1 (e11) (e11)) (op1 (e11) (e11))) (op1 (e11) (e11)))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e21)) = (e22))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> ((op2 (e20) (e21)) = (e21)) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e22)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> (~((op2 (e22) (e22)) = (e21))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (((op2 (e22) (e22)) = (e20))\/(((op2 (e22) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e22)) = (e23))))) -> (~((op2 (e20) (e23)) = (e20))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> ((op2 (e21) (op2 (e21) (e22))) = (e22)) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (((op2 (e21) (e20)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/((op2 (e21) (e23)) = (e23))))) -> (~((op2 (e21) (e22)) = (op2 (e21) (e23)))) -> ((op2 (e21) (op2 (e21) (e23))) = (e23)) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> (((op2 (e23) (e20)) = (e22))\/(((op2 (e23) (e21)) = (e22))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (~((e20) = (e22))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e20)) = (e20))\/(((op2 (e22) (e20)) = (e20))\/((op2 (e23) (e20)) = (e20))))) -> False).
% 55.20/55.32 do 0 intro. intros zenon_H22c zenon_H1da zenon_H23f zenon_H18f zenon_H293 zenon_H292 zenon_H1de zenon_H31 zenon_H32 zenon_H33 zenon_Ha5 zenon_H93 zenon_H3e zenon_H3f zenon_H3b zenon_H43a zenon_H3cb zenon_H55 zenon_H1d1 zenon_H15f zenon_H15a zenon_H154 zenon_H14b zenon_H313 zenon_H2ad zenon_H236 zenon_H1be zenon_H19d zenon_H316 zenon_H360 zenon_H1cc zenon_H18a zenon_H1fd zenon_H172 zenon_H29e zenon_H2f8 zenon_H301 zenon_H23b zenon_H204 zenon_H179 zenon_H180 zenon_H186 zenon_H206 zenon_H1d8 zenon_H461 zenon_H270 zenon_H522 zenon_H1b1 zenon_H2b9 zenon_H2e7 zenon_H17 zenon_H1e zenon_H25 zenon_H1a0 zenon_H16c zenon_H1a9 zenon_H1f4 zenon_H2c0 zenon_H2c2 zenon_H245 zenon_H13 zenon_H15 zenon_H155 zenon_H21a zenon_Hfc zenon_H3b1 zenon_H3af zenon_H60 zenon_Hb9 zenon_H282 zenon_H39d zenon_H3b7 zenon_H437 zenon_H98 zenon_H37d zenon_H101 zenon_H40c zenon_H100 zenon_Had zenon_H3c2 zenon_H3a8 zenon_H481 zenon_H9f zenon_H489 zenon_H399 zenon_H47a zenon_H395 zenon_H116 zenon_H3b4 zenon_H45 zenon_H4ae zenon_H74 zenon_H6e zenon_H67 zenon_H4e2 zenon_H4e6.
% 55.20/55.32 apply (zenon_or_s _ _ zenon_H22c); [ zenon_intro zenon_H27d | zenon_intro zenon_H29d ].
% 55.20/55.32 apply (zenon_L973_); trivial.
% 55.20/55.32 apply (zenon_L144_); trivial.
% 55.20/55.32 (* end of lemma zenon_L974_ *)
% 55.20/55.32 assert (zenon_L975_ : ((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12)))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e20)) = (e20))\/(((op2 (e22) (e20)) = (e20))\/((op2 (e23) (e20)) = (e20))))) -> (~((e20) = (e22))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (((op2 (e23) (e20)) = (e22))\/(((op2 (e23) (e21)) = (e22))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> ((op2 (e21) (op2 (e21) (e23))) = (e23)) -> (~((op2 (e21) (e22)) = (op2 (e21) (e23)))) -> (((op2 (e21) (e20)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/((op2 (e21) (e23)) = (e23))))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> ((op2 (e21) (op2 (e21) (e22))) = (e22)) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e23)) = (e20))) -> (((op2 (e22) (e22)) = (e20))\/(((op2 (e22) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e22)) = (e23))))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e22) (e22)) = (e21))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e22)))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> ((op2 (e20) (e21)) = (e21)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e21)) = (e22))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> ((e12) = (op1 (op1 (op1 (e11) (e11)) (op1 (e11) (e11))) (op1 (e11) (e11)))) -> ((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) -> ((e10) = (op1 (e11) (e11))) -> ((((op1 (e10) (e10)) = (e10))/\(((op1 (e10) (e10)) = (e10))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11))))/\(((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12))))/\((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))))))))\/((((op1 (e10) (e11)) = (e10))/\(((op1 (e11) (e10)) = (e10))/\(((~((op1 (e11) (e10)) = (e11)))\/(~((op1 (e11) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e11) (e12)) = (e11)))\/(~((op1 (e11) (e11)) = (e12))))/\((~((op1 (e11) (e13)) = (e11)))\/(~((op1 (e11) (e11)) = (e13)))))))))\/((((op1 (e10) (e12)) = (e10))/\(((op1 (e12) (e10)) = (e10))/\(((~((op1 (e12) (e10)) = (e12)))\/(~((op1 (e12) (e12)) = (e10))))/\(((~((op1 (e12) (e11)) = (e12)))\/(~((op1 (e12) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13)))))))))\/((((op1 (e10) (e13)) = (e10))/\(((op1 (e13) (e10)) = (e10))/\(((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e13) (e13)) = (e10))))/\(((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11))))/\(((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e13) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13)))))))))\/((((op1 (e11) (e10)) = (e11))/\(((op1 (e10) (e11)) = (e11))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11))))/\(((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12))))/\((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))))))))\/((((op1 (e11) (e11)) = (e11))/\(((op1 (e11) (e11)) = (e11))/\(((~((op1 (e11) (e10)) = (e11)))\/(~((op1 (e11) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e11) (e12)) = (e11)))\/(~((op1 (e11) (e11)) = (e12))))/\((~((op1 (e11) (e13)) = (e11)))\/(~((op1 (e11) (e11)) = (e13)))))))))\/((((op1 (e11) (e12)) = (e11))/\(((op1 (e12) (e11)) = (e11))/\(((~((op1 (e12) (e10)) = (e12)))\/(~((op1 (e12) (e12)) = (e10))))/\(((~((op1 (e12) (e11)) = (e12)))\/(~((op1 (e12) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13)))))))))\/((((op1 (e11) (e13)) = (e11))/\(((op1 (e13) (e11)) = (e11))/\(((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e13) (e13)) = (e10))))/\(((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11))))/\(((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e13) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13)))))))))\/((((op1 (e12) (e10)) = (e12))/\(((op1 (e10) (e12)) = (e12))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11))))/\(((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12))))/\((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))))))))\/((((op1 (e12) (e11)) = (e12))/\(((op1 (e11) (e12)) = (e12))/\(((~((op1 (e11) (e10)) = (e11)))\/(~((op1 (e11) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e11) (e12)) = (e11)))\/(~((op1 (e11) (e11)) = (e12))))/\((~((op1 (e11) (e13)) = (e11)))\/(~((op1 (e11) (e11)) = (e13)))))))))\/((((op1 (e12) (e12)) = (e12))/\(((op1 (e12) (e12)) = (e12))/\(((~((op1 (e12) (e10)) = (e12)))\/(~((op1 (e12) (e12)) = (e10))))/\(((~((op1 (e12) (e11)) = (e12)))\/(~((op1 (e12) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13)))))))))\/((((op1 (e12) (e13)) = (e12))/\(((op1 (e13) (e12)) = (e12))/\(((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e13) (e13)) = (e10))))/\(((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11))))/\(((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e13) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13)))))))))\/((((op1 (e13) (e10)) = (e13))/\(((op1 (e10) (e13)) = (e13))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11))))/\(((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12))))/\((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))))))))\/((((op1 (e13) (e11)) = (e13))/\(((op1 (e11) (e13)) = (e13))/\(((~((op1 (e11) (e10)) = (e11)))\/(~((op1 (e11) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e11) (e12)) = (e11)))\/(~((op1 (e11) (e11)) = (e12))))/\((~((op1 (e11) (e13)) = (e11)))\/(~((op1 (e11) (e11)) = (e13)))))))))\/((((op1 (e13) (e12)) = (e13))/\(((op1 (e12) (e13)) = (e13))/\(((~((op1 (e12) (e10)) = (e12)))\/(~((op1 (e12) (e12)) = (e10))))/\(((~((op1 (e12) (e11)) = (e12)))\/(~((op1 (e12) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13)))))))))\/(((op1 (e13) (e13)) = (e13))/\(((op1 (e13) (e13)) = (e13))/\(((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e13) (e13)) = (e10))))/\(((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11))))/\(((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e13) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13)))))))))))))))))))))))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((e10) = (e12))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (~((h2 (op1 (e13) (e11))) = (op2 (h2 (e13)) (h2 (e11))))) -> ((h2 (e11)) = (e21)) -> ((h2 (e13)) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e11)) = (e12))\/((op1 (e10) (e11)) = (e13))))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> ((op1 (e11) (op1 (e11) (e13))) = (e13)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((e12) = (e13))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e12))\/((op1 (e11) (e10)) = (e13))))) -> (~((op2 (e20) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e20) (e22)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e23) (e22)) = (e23))))) -> ((e23) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((e22) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e20) (e21)) = (e23))\/(((op2 (e20) (e22)) = (e23))\/((op2 (e20) (e23)) = (e23))))) -> ((e20) = (op2 (e21) (e21))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> (~((op2 (e20) (e20)) = (e20))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> ((op1 (e11) (op1 (e11) (e10))) = (e10)) -> ((op1 (e12) (e10)) = (e10)) -> ((op1 (e10) (e12)) = (e10)) -> (~((op1 (e12) (e12)) = (e11))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> ((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13)))) -> False).
% 55.20/55.32 do 0 intro. intros zenon_H224 zenon_H4e6 zenon_H4e2 zenon_H67 zenon_H6e zenon_H74 zenon_H4ae zenon_H45 zenon_H3b4 zenon_H116 zenon_H395 zenon_H47a zenon_H399 zenon_H489 zenon_H9f zenon_H481 zenon_H3a8 zenon_H3c2 zenon_Had zenon_H100 zenon_H40c zenon_H101 zenon_H37d zenon_H98 zenon_H437 zenon_H3b7 zenon_H39d zenon_H282 zenon_Hb9 zenon_H60 zenon_H3af zenon_H3b1 zenon_Hfc zenon_H21a zenon_H155 zenon_H15 zenon_H13 zenon_H245 zenon_H2c2 zenon_H2c0 zenon_H1f4 zenon_H1a9 zenon_H16c zenon_H1a0 zenon_H25 zenon_H1e zenon_H17 zenon_H2e7 zenon_H2b9 zenon_H1b1 zenon_H522 zenon_H270 zenon_H461 zenon_H1d8 zenon_H206 zenon_H186 zenon_H180 zenon_H179 zenon_H204 zenon_H23b zenon_H301 zenon_H2f8 zenon_H29e zenon_H172 zenon_H1fd zenon_H18a zenon_H1cc zenon_H360 zenon_H316 zenon_H19d zenon_H1be zenon_H236 zenon_H2ad zenon_H313 zenon_H14b zenon_H154 zenon_H15a zenon_H15f zenon_H55 zenon_H3cb zenon_H43a zenon_H3b zenon_H3f zenon_H3e zenon_H93 zenon_Ha5 zenon_H33 zenon_H32 zenon_H31 zenon_H1de zenon_H292 zenon_H293 zenon_H18f zenon_H23f zenon_H1da zenon_H22c.
% 55.20/55.32 apply (zenon_or_s _ _ zenon_H224); [ zenon_intro zenon_H1d1 | zenon_intro zenon_H1d1 ].
% 55.20/55.32 apply (zenon_L974_); trivial.
% 55.20/55.32 apply (zenon_L974_); trivial.
% 55.20/55.32 (* end of lemma zenon_L975_ *)
% 55.20/55.32 assert (zenon_L976_ : (((op1 (e10) (e12)) = (e10))/\(((op1 (e12) (e10)) = (e10))/\(((~((op1 (e12) (e10)) = (e12)))\/(~((op1 (e12) (e12)) = (e10))))/\(((~((op1 (e12) (e11)) = (e12)))\/(~((op1 (e12) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13))))))))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e20)) = (e20))\/(((op2 (e22) (e20)) = (e20))\/((op2 (e23) (e20)) = (e20))))) -> (~((e20) = (e22))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (((op2 (e23) (e20)) = (e22))\/(((op2 (e23) (e21)) = (e22))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> ((op2 (e21) (op2 (e21) (e23))) = (e23)) -> (~((op2 (e21) (e22)) = (op2 (e21) (e23)))) -> (((op2 (e21) (e20)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/((op2 (e21) (e23)) = (e23))))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> ((op2 (e21) (op2 (e21) (e22))) = (e22)) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e23)) = (e20))) -> (((op2 (e22) (e22)) = (e20))\/(((op2 (e22) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e22)) = (e23))))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e22) (e22)) = (e21))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e22)))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> ((op2 (e20) (e21)) = (e21)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e21)) = (e22))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> ((e12) = (op1 (op1 (op1 (e11) (e11)) (op1 (e11) (e11))) (op1 (e11) (e11)))) -> ((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) -> ((e10) = (op1 (e11) (e11))) -> ((((op1 (e10) (e10)) = (e10))/\(((op1 (e10) (e10)) = (e10))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11))))/\(((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12))))/\((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))))))))\/((((op1 (e10) (e11)) = (e10))/\(((op1 (e11) (e10)) = (e10))/\(((~((op1 (e11) (e10)) = (e11)))\/(~((op1 (e11) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e11) (e12)) = (e11)))\/(~((op1 (e11) (e11)) = (e12))))/\((~((op1 (e11) (e13)) = (e11)))\/(~((op1 (e11) (e11)) = (e13)))))))))\/((((op1 (e10) (e12)) = (e10))/\(((op1 (e12) (e10)) = (e10))/\(((~((op1 (e12) (e10)) = (e12)))\/(~((op1 (e12) (e12)) = (e10))))/\(((~((op1 (e12) (e11)) = (e12)))\/(~((op1 (e12) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13)))))))))\/((((op1 (e10) (e13)) = (e10))/\(((op1 (e13) (e10)) = (e10))/\(((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e13) (e13)) = (e10))))/\(((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11))))/\(((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e13) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13)))))))))\/((((op1 (e11) (e10)) = (e11))/\(((op1 (e10) (e11)) = (e11))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11))))/\(((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12))))/\((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))))))))\/((((op1 (e11) (e11)) = (e11))/\(((op1 (e11) (e11)) = (e11))/\(((~((op1 (e11) (e10)) = (e11)))\/(~((op1 (e11) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e11) (e12)) = (e11)))\/(~((op1 (e11) (e11)) = (e12))))/\((~((op1 (e11) (e13)) = (e11)))\/(~((op1 (e11) (e11)) = (e13)))))))))\/((((op1 (e11) (e12)) = (e11))/\(((op1 (e12) (e11)) = (e11))/\(((~((op1 (e12) (e10)) = (e12)))\/(~((op1 (e12) (e12)) = (e10))))/\(((~((op1 (e12) (e11)) = (e12)))\/(~((op1 (e12) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13)))))))))\/((((op1 (e11) (e13)) = (e11))/\(((op1 (e13) (e11)) = (e11))/\(((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e13) (e13)) = (e10))))/\(((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11))))/\(((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e13) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13)))))))))\/((((op1 (e12) (e10)) = (e12))/\(((op1 (e10) (e12)) = (e12))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11))))/\(((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12))))/\((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))))))))\/((((op1 (e12) (e11)) = (e12))/\(((op1 (e11) (e12)) = (e12))/\(((~((op1 (e11) (e10)) = (e11)))\/(~((op1 (e11) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e11) (e12)) = (e11)))\/(~((op1 (e11) (e11)) = (e12))))/\((~((op1 (e11) (e13)) = (e11)))\/(~((op1 (e11) (e11)) = (e13)))))))))\/((((op1 (e12) (e12)) = (e12))/\(((op1 (e12) (e12)) = (e12))/\(((~((op1 (e12) (e10)) = (e12)))\/(~((op1 (e12) (e12)) = (e10))))/\(((~((op1 (e12) (e11)) = (e12)))\/(~((op1 (e12) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13)))))))))\/((((op1 (e12) (e13)) = (e12))/\(((op1 (e13) (e12)) = (e12))/\(((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e13) (e13)) = (e10))))/\(((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11))))/\(((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e13) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13)))))))))\/((((op1 (e13) (e10)) = (e13))/\(((op1 (e10) (e13)) = (e13))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11))))/\(((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12))))/\((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))))))))\/((((op1 (e13) (e11)) = (e13))/\(((op1 (e11) (e13)) = (e13))/\(((~((op1 (e11) (e10)) = (e11)))\/(~((op1 (e11) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e11) (e12)) = (e11)))\/(~((op1 (e11) (e11)) = (e12))))/\((~((op1 (e11) (e13)) = (e11)))\/(~((op1 (e11) (e11)) = (e13)))))))))\/((((op1 (e13) (e12)) = (e13))/\(((op1 (e12) (e13)) = (e13))/\(((~((op1 (e12) (e10)) = (e12)))\/(~((op1 (e12) (e12)) = (e10))))/\(((~((op1 (e12) (e11)) = (e12)))\/(~((op1 (e12) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13)))))))))\/(((op1 (e13) (e13)) = (e13))/\(((op1 (e13) (e13)) = (e13))/\(((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e13) (e13)) = (e10))))/\(((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11))))/\(((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e13) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13)))))))))))))))))))))))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((e10) = (e12))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (~((h2 (op1 (e13) (e11))) = (op2 (h2 (e13)) (h2 (e11))))) -> ((h2 (e11)) = (e21)) -> ((h2 (e13)) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e11)) = (e12))\/((op1 (e10) (e11)) = (e13))))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> ((op1 (e11) (op1 (e11) (e13))) = (e13)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((e12) = (e13))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e12))\/((op1 (e11) (e10)) = (e13))))) -> (~((op2 (e20) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e20) (e22)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e23) (e22)) = (e23))))) -> ((e23) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((e22) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e20) (e21)) = (e23))\/(((op2 (e20) (e22)) = (e23))\/((op2 (e20) (e23)) = (e23))))) -> ((e20) = (op2 (e21) (e21))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> (~((op2 (e20) (e20)) = (e20))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> ((op1 (e11) (op1 (e11) (e10))) = (e10)) -> (~((op1 (e12) (e12)) = (e11))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> False).
% 55.20/55.32 do 0 intro. intros zenon_H197 zenon_H4e6 zenon_H4e2 zenon_H67 zenon_H6e zenon_H74 zenon_H4ae zenon_H45 zenon_H3b4 zenon_H116 zenon_H395 zenon_H47a zenon_H399 zenon_H489 zenon_H9f zenon_H481 zenon_H3a8 zenon_H3c2 zenon_Had zenon_H100 zenon_H40c zenon_H101 zenon_H37d zenon_H98 zenon_H437 zenon_H3b7 zenon_H39d zenon_H282 zenon_Hb9 zenon_H60 zenon_H3af zenon_H3b1 zenon_Hfc zenon_H21a zenon_H155 zenon_H15 zenon_H13 zenon_H245 zenon_H2c2 zenon_H2c0 zenon_H1f4 zenon_H1a9 zenon_H16c zenon_H1a0 zenon_H25 zenon_H1e zenon_H17 zenon_H2e7 zenon_H2b9 zenon_H1b1 zenon_H522 zenon_H270 zenon_H461 zenon_H1d8 zenon_H206 zenon_H186 zenon_H180 zenon_H179 zenon_H204 zenon_H23b zenon_H301 zenon_H2f8 zenon_H29e zenon_H172 zenon_H1fd zenon_H18a zenon_H1cc zenon_H360 zenon_H316 zenon_H19d zenon_H1be zenon_H236 zenon_H2ad zenon_H313 zenon_H14b zenon_H154 zenon_H15a zenon_H15f zenon_H55 zenon_H3cb zenon_H43a zenon_H3b zenon_H3f zenon_H3e zenon_H93 zenon_Ha5 zenon_H33 zenon_H32 zenon_H31 zenon_H1de zenon_H292 zenon_H23f zenon_H1da.
% 55.20/55.32 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_H18f. zenon_intro zenon_H198.
% 55.20/55.32 apply (zenon_and_s _ _ zenon_H198). zenon_intro zenon_H293. zenon_intro zenon_H227.
% 55.20/55.32 apply (zenon_and_s _ _ zenon_H227). zenon_intro zenon_H229. zenon_intro zenon_H228.
% 55.20/55.32 apply (zenon_and_s _ _ zenon_H228). zenon_intro zenon_H22b. zenon_intro zenon_H22a.
% 55.20/55.32 apply (zenon_and_s _ _ zenon_H22a). zenon_intro zenon_H224. zenon_intro zenon_H22c.
% 55.20/55.32 apply (zenon_L975_); trivial.
% 55.20/55.32 (* end of lemma zenon_L976_ *)
% 55.20/55.32 assert (zenon_L977_ : (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e23) (e20)))) -> (((op1 (e13) (e13)) = (e10))\/(((op1 (e13) (e13)) = (e11))\/(((op1 (e13) (e13)) = (e12))\/((op1 (e13) (e13)) = (e13))))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> ((op1 (e11) (op1 (e11) (e11))) = (e11)) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((e12) = (e13))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> ((op1 (e11) (op1 (e11) (e13))) = (e13)) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (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 (e12) (e11)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e11)) = (e12))\/((op1 (e10) (e11)) = (e13))))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> ((h2 (e13)) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((h2 (e11)) = (e21)) -> (~((h2 (op1 (e13) (e11))) = (op2 (h2 (e13)) (h2 (e11))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((e10) = (e12))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> ((((op1 (e10) (e10)) = (e10))/\(((op1 (e10) (e10)) = (e10))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11))))/\(((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12))))/\((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))))))))\/((((op1 (e10) (e11)) = (e10))/\(((op1 (e11) (e10)) = (e10))/\(((~((op1 (e11) (e10)) = (e11)))\/(~((op1 (e11) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e11) (e12)) = (e11)))\/(~((op1 (e11) (e11)) = (e12))))/\((~((op1 (e11) (e13)) = (e11)))\/(~((op1 (e11) (e11)) = (e13)))))))))\/((((op1 (e10) (e12)) = (e10))/\(((op1 (e12) (e10)) = (e10))/\(((~((op1 (e12) (e10)) = (e12)))\/(~((op1 (e12) (e12)) = (e10))))/\(((~((op1 (e12) (e11)) = (e12)))\/(~((op1 (e12) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13)))))))))\/((((op1 (e10) (e13)) = (e10))/\(((op1 (e13) (e10)) = (e10))/\(((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e13) (e13)) = (e10))))/\(((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11))))/\(((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e13) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13)))))))))\/((((op1 (e11) (e10)) = (e11))/\(((op1 (e10) (e11)) = (e11))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11))))/\(((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12))))/\((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))))))))\/((((op1 (e11) (e11)) = (e11))/\(((op1 (e11) (e11)) = (e11))/\(((~((op1 (e11) (e10)) = (e11)))\/(~((op1 (e11) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e11) (e12)) = (e11)))\/(~((op1 (e11) (e11)) = (e12))))/\((~((op1 (e11) (e13)) = (e11)))\/(~((op1 (e11) (e11)) = (e13)))))))))\/((((op1 (e11) (e12)) = (e11))/\(((op1 (e12) (e11)) = (e11))/\(((~((op1 (e12) (e10)) = (e12)))\/(~((op1 (e12) (e12)) = (e10))))/\(((~((op1 (e12) (e11)) = (e12)))\/(~((op1 (e12) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13)))))))))\/((((op1 (e11) (e13)) = (e11))/\(((op1 (e13) (e11)) = (e11))/\(((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e13) (e13)) = (e10))))/\(((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11))))/\(((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e13) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13)))))))))\/((((op1 (e12) (e10)) = (e12))/\(((op1 (e10) (e12)) = (e12))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11))))/\(((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12))))/\((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))))))))\/((((op1 (e12) (e11)) = (e12))/\(((op1 (e11) (e12)) = (e12))/\(((~((op1 (e11) (e10)) = (e11)))\/(~((op1 (e11) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e11) (e12)) = (e11)))\/(~((op1 (e11) (e11)) = (e12))))/\((~((op1 (e11) (e13)) = (e11)))\/(~((op1 (e11) (e11)) = (e13)))))))))\/((((op1 (e12) (e12)) = (e12))/\(((op1 (e12) (e12)) = (e12))/\(((~((op1 (e12) (e10)) = (e12)))\/(~((op1 (e12) (e12)) = (e10))))/\(((~((op1 (e12) (e11)) = (e12)))\/(~((op1 (e12) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13)))))))))\/((((op1 (e12) (e13)) = (e12))/\(((op1 (e13) (e12)) = (e12))/\(((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e13) (e13)) = (e10))))/\(((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11))))/\(((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e13) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13)))))))))\/((((op1 (e13) (e10)) = (e13))/\(((op1 (e10) (e13)) = (e13))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11))))/\(((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12))))/\((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))))))))\/((((op1 (e13) (e11)) = (e13))/\(((op1 (e11) (e13)) = (e13))/\(((~((op1 (e11) (e10)) = (e11)))\/(~((op1 (e11) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e11) (e12)) = (e11)))\/(~((op1 (e11) (e11)) = (e12))))/\((~((op1 (e11) (e13)) = (e11)))\/(~((op1 (e11) (e11)) = (e13)))))))))\/((((op1 (e13) (e12)) = (e13))/\(((op1 (e12) (e13)) = (e13))/\(((~((op1 (e12) (e10)) = (e12)))\/(~((op1 (e12) (e12)) = (e10))))/\(((~((op1 (e12) (e11)) = (e12)))\/(~((op1 (e12) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13)))))))))\/(((op1 (e13) (e13)) = (e13))/\(((op1 (e13) (e13)) = (e13))/\(((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e13) (e13)) = (e10))))/\(((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11))))/\(((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e13) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13)))))))))))))))))))))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> ((op1 (e11) (op1 (e11) (e10))) = (e10)) -> (~((op1 (e12) (e12)) = (e11))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> ((e10) = (op1 (e11) (e11))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> ((e12) = (op1 (op1 (op1 (e11) (e11)) (op1 (e11) (e11))) (op1 (e11) (e11)))) -> ((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e12))\/((op1 (e11) (e10)) = (e13))))) -> ((~((op1 (e13) (e13)) = (e11)))\/((op1 (e13) (e11)) = (e13))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> ((op2 (e22) (e22)) = (e23)) -> ((op2 (e20) (e20)) = (e23)) -> (((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e21)) = (e22))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> ((op2 (e20) (e21)) = (e21)) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> ((e23) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((e20) = (op2 (e21) (e21))) -> ((e22) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> False).
% 55.20/55.32 do 0 intro. intros zenon_H3b7 zenon_H55 zenon_H20c zenon_H1fa zenon_H2b1 zenon_H2a6 zenon_H2a5 zenon_H2a3 zenon_H18e zenon_H313 zenon_H2ad zenon_H236 zenon_H1be zenon_H19d zenon_H316 zenon_H360 zenon_H1cc zenon_H18a zenon_H1fd zenon_H172 zenon_H29e zenon_H2f8 zenon_H301 zenon_H23b zenon_H204 zenon_H179 zenon_H180 zenon_H186 zenon_H206 zenon_H1d8 zenon_H461 zenon_H270 zenon_H522 zenon_H1b1 zenon_H2b9 zenon_H2e7 zenon_H17 zenon_H1e zenon_H25 zenon_H1a0 zenon_H16c zenon_H1a9 zenon_H1f4 zenon_H2c0 zenon_H2c2 zenon_H245 zenon_H21a zenon_H1de zenon_H292 zenon_H23f zenon_H1da zenon_H14b zenon_H13 zenon_H154 zenon_H155 zenon_H15 zenon_H15a zenon_H15f zenon_H37b zenon_Hfc zenon_Hf6 zenon_Ha8 zenon_H3b1 zenon_H39d zenon_Hb9 zenon_H282 zenon_H60 zenon_H3b zenon_H33 zenon_H3f zenon_H3af.
% 55.20/55.32 apply (zenon_or_s _ _ zenon_H3b7); [ zenon_intro zenon_He5 | zenon_intro zenon_H3b8 ].
% 55.20/55.32 apply (zenon_L335_); trivial.
% 55.20/55.32 apply (zenon_or_s _ _ zenon_H3b8); [ zenon_intro zenon_He8 | zenon_intro zenon_H3b9 ].
% 55.20/55.32 apply (zenon_L957_); trivial.
% 55.20/55.32 apply (zenon_or_s _ _ zenon_H3b9); [ zenon_intro zenon_Hfb | zenon_intro zenon_H106 ].
% 55.20/55.32 apply (zenon_L50_); trivial.
% 55.20/55.32 apply (zenon_L349_); trivial.
% 55.20/55.32 (* end of lemma zenon_L977_ *)
% 55.20/55.32 assert (zenon_L978_ : (((op1 (e11) (e10)) = (e11))/\(((op1 (e10) (e11)) = (e11))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11))))/\(((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12))))/\((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13))))))))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e20)) = (e20))\/(((op2 (e22) (e20)) = (e20))\/((op2 (e23) (e20)) = (e20))))) -> (~((op2 (e20) (e20)) = (e20))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e22)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e22) (e22)) = (e21))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> (((op2 (e22) (e22)) = (e20))\/(((op2 (e22) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e22)) = (e23))))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e23) (e20)))) -> (((op1 (e13) (e13)) = (e10))\/(((op1 (e13) (e13)) = (e11))\/(((op1 (e13) (e13)) = (e12))\/((op1 (e13) (e13)) = (e13))))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> ((op1 (e11) (op1 (e11) (e11))) = (e11)) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((e12) = (e13))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> ((op1 (e11) (op1 (e11) (e13))) = (e13)) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (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 (e12) (e11)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e11)) = (e12))\/((op1 (e10) (e11)) = (e13))))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> ((h2 (e13)) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((h2 (e11)) = (e21)) -> (~((h2 (op1 (e13) (e11))) = (op2 (h2 (e13)) (h2 (e11))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((e10) = (e12))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> ((((op1 (e10) (e10)) = (e10))/\(((op1 (e10) (e10)) = (e10))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11))))/\(((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12))))/\((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))))))))\/((((op1 (e10) (e11)) = (e10))/\(((op1 (e11) (e10)) = (e10))/\(((~((op1 (e11) (e10)) = (e11)))\/(~((op1 (e11) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e11) (e12)) = (e11)))\/(~((op1 (e11) (e11)) = (e12))))/\((~((op1 (e11) (e13)) = (e11)))\/(~((op1 (e11) (e11)) = (e13)))))))))\/((((op1 (e10) (e12)) = (e10))/\(((op1 (e12) (e10)) = (e10))/\(((~((op1 (e12) (e10)) = (e12)))\/(~((op1 (e12) (e12)) = (e10))))/\(((~((op1 (e12) (e11)) = (e12)))\/(~((op1 (e12) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13)))))))))\/((((op1 (e10) (e13)) = (e10))/\(((op1 (e13) (e10)) = (e10))/\(((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e13) (e13)) = (e10))))/\(((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11))))/\(((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e13) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13)))))))))\/((((op1 (e11) (e10)) = (e11))/\(((op1 (e10) (e11)) = (e11))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11))))/\(((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12))))/\((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))))))))\/((((op1 (e11) (e11)) = (e11))/\(((op1 (e11) (e11)) = (e11))/\(((~((op1 (e11) (e10)) = (e11)))\/(~((op1 (e11) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e11) (e12)) = (e11)))\/(~((op1 (e11) (e11)) = (e12))))/\((~((op1 (e11) (e13)) = (e11)))\/(~((op1 (e11) (e11)) = (e13)))))))))\/((((op1 (e11) (e12)) = (e11))/\(((op1 (e12) (e11)) = (e11))/\(((~((op1 (e12) (e10)) = (e12)))\/(~((op1 (e12) (e12)) = (e10))))/\(((~((op1 (e12) (e11)) = (e12)))\/(~((op1 (e12) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13)))))))))\/((((op1 (e11) (e13)) = (e11))/\(((op1 (e13) (e11)) = (e11))/\(((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e13) (e13)) = (e10))))/\(((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11))))/\(((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e13) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13)))))))))\/((((op1 (e12) (e10)) = (e12))/\(((op1 (e10) (e12)) = (e12))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11))))/\(((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12))))/\((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))))))))\/((((op1 (e12) (e11)) = (e12))/\(((op1 (e11) (e12)) = (e12))/\(((~((op1 (e11) (e10)) = (e11)))\/(~((op1 (e11) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e11) (e12)) = (e11)))\/(~((op1 (e11) (e11)) = (e12))))/\((~((op1 (e11) (e13)) = (e11)))\/(~((op1 (e11) (e11)) = (e13)))))))))\/((((op1 (e12) (e12)) = (e12))/\(((op1 (e12) (e12)) = (e12))/\(((~((op1 (e12) (e10)) = (e12)))\/(~((op1 (e12) (e12)) = (e10))))/\(((~((op1 (e12) (e11)) = (e12)))\/(~((op1 (e12) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13)))))))))\/((((op1 (e12) (e13)) = (e12))/\(((op1 (e13) (e12)) = (e12))/\(((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e13) (e13)) = (e10))))/\(((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11))))/\(((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e13) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13)))))))))\/((((op1 (e13) (e10)) = (e13))/\(((op1 (e10) (e13)) = (e13))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11))))/\(((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12))))/\((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))))))))\/((((op1 (e13) (e11)) = (e13))/\(((op1 (e11) (e13)) = (e13))/\(((~((op1 (e11) (e10)) = (e11)))\/(~((op1 (e11) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e11) (e12)) = (e11)))\/(~((op1 (e11) (e11)) = (e12))))/\((~((op1 (e11) (e13)) = (e11)))\/(~((op1 (e11) (e11)) = (e13)))))))))\/((((op1 (e13) (e12)) = (e13))/\(((op1 (e12) (e13)) = (e13))/\(((~((op1 (e12) (e10)) = (e12)))\/(~((op1 (e12) (e12)) = (e10))))/\(((~((op1 (e12) (e11)) = (e12)))\/(~((op1 (e12) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13)))))))))\/(((op1 (e13) (e13)) = (e13))/\(((op1 (e13) (e13)) = (e13))/\(((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e13) (e13)) = (e10))))/\(((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11))))/\(((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e13) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13)))))))))))))))))))))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> ((op1 (e11) (op1 (e11) (e10))) = (e10)) -> (~((op1 (e12) (e12)) = (e11))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> ((e10) = (op1 (e11) (e11))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> ((e12) = (op1 (op1 (op1 (e11) (e11)) (op1 (e11) (e11))) (op1 (e11) (e11)))) -> ((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e12))\/((op1 (e11) (e10)) = (e13))))) -> ((~((op1 (e13) (e13)) = (e11)))\/((op1 (e13) (e11)) = (e13))) -> (((op2 (e20) (e22)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e23) (e22)) = (e23))))) -> (((op2 (e21) (e20)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/((op2 (e21) (e23)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> (((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e21)) = (e22))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> ((op2 (e21) (op2 (e21) (e22))) = (e22)) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> ((op2 (e20) (e21)) = (e21)) -> (~((op2 (e20) (e23)) = (e20))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e21) (e22)) = (op2 (e21) (e23)))) -> ((op2 (e21) (op2 (e21) (e23))) = (e23)) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e20) (e21)) = (e23))\/(((op2 (e20) (e22)) = (e23))\/((op2 (e20) (e23)) = (e23))))) -> (((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)))) -> ((e23) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((e20) = (op2 (e21) (e21))) -> ((e22) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> (~((e20) = (e22))) -> False).
% 55.20/55.32 do 0 intro. intros zenon_H259 zenon_H4e6 zenon_H31 zenon_H32 zenon_H9f zenon_H98 zenon_H93 zenon_H4ae zenon_H3cb zenon_Hfc zenon_H40c zenon_H101 zenon_H37d zenon_H100 zenon_H3b7 zenon_H55 zenon_H20c zenon_H1fa zenon_H2b1 zenon_H2a6 zenon_H2a5 zenon_H2a3 zenon_H18e zenon_H313 zenon_H2ad zenon_H236 zenon_H1be zenon_H19d zenon_H316 zenon_H360 zenon_H1cc zenon_H18a zenon_H1fd zenon_H172 zenon_H29e zenon_H2f8 zenon_H301 zenon_H23b zenon_H204 zenon_H179 zenon_H180 zenon_H186 zenon_H206 zenon_H1d8 zenon_H461 zenon_H270 zenon_H522 zenon_H1b1 zenon_H2b9 zenon_H2e7 zenon_H17 zenon_H1e zenon_H25 zenon_H1a0 zenon_H16c zenon_H1a9 zenon_H1f4 zenon_H2c0 zenon_H2c2 zenon_H245 zenon_H21a zenon_H1de zenon_H292 zenon_H23f zenon_H1da zenon_H14b zenon_H13 zenon_H154 zenon_H155 zenon_H15 zenon_H15a zenon_H15f zenon_H37b zenon_H43a zenon_H399 zenon_H45 zenon_H3af zenon_H60 zenon_H282 zenon_H39d zenon_H3b1 zenon_H116 zenon_H3b4 zenon_H481 zenon_H3a8 zenon_H3c2 zenon_Hb9 zenon_Had zenon_H489 zenon_H47a zenon_H395 zenon_Ha5 zenon_Hb7 zenon_Hbd zenon_H3e zenon_H3b zenon_H33 zenon_H3f zenon_Hb0 zenon_H4e2.
% 55.20/55.32 apply (zenon_and_s _ _ zenon_H259). zenon_intro zenon_H163. zenon_intro zenon_H25a.
% 55.20/55.32 apply (zenon_and_s _ _ zenon_H25a). zenon_intro zenon_H1fe. zenon_intro zenon_H149.
% 55.20/55.32 apply (zenon_or_s _ _ zenon_H4e6); [ zenon_intro zenon_H2d | zenon_intro zenon_H4e7 ].
% 55.20/55.32 exact (zenon_H31 zenon_H2d).
% 55.20/55.32 apply (zenon_or_s _ _ zenon_H4e7); [ zenon_intro zenon_H34 | zenon_intro zenon_H4e8 ].
% 55.20/55.32 apply (zenon_L6_); trivial.
% 55.20/55.32 apply (zenon_or_s _ _ zenon_H4e8); [ zenon_intro zenon_H121 | zenon_intro zenon_H80 ].
% 55.20/55.32 apply (zenon_or_s _ _ zenon_Ha5); [ zenon_intro zenon_Ha8 | zenon_intro zenon_Ha7 ].
% 55.20/55.32 apply (zenon_or_s _ _ zenon_H4ae); [ zenon_intro zenon_H40 | zenon_intro zenon_H4af ].
% 55.20/55.32 apply (zenon_L8_); trivial.
% 55.20/55.32 apply (zenon_or_s _ _ zenon_H4af); [ zenon_intro zenon_H401 | zenon_intro zenon_H4b0 ].
% 55.20/55.32 apply (zenon_L965_); trivial.
% 55.20/55.32 apply (zenon_or_s _ _ zenon_H4b0); [ zenon_intro zenon_Hd4 | zenon_intro zenon_H478 ].
% 55.20/55.32 apply (zenon_or_s _ _ zenon_H43a); [ zenon_intro zenon_H97 | zenon_intro zenon_H43b ].
% 55.20/55.32 apply (zenon_L26_); trivial.
% 55.20/55.32 apply (zenon_or_s _ _ zenon_H43b); [ zenon_intro zenon_H38e | zenon_intro zenon_H43c ].
% 55.20/55.32 apply (zenon_L590_); trivial.
% 55.20/55.32 apply (zenon_or_s _ _ zenon_H43c); [ zenon_intro zenon_Hf6 | zenon_intro zenon_Hfb ].
% 55.20/55.32 apply (zenon_L977_); trivial.
% 55.20/55.32 apply (zenon_L799_); trivial.
% 55.20/55.32 apply (zenon_L712_); trivial.
% 55.20/55.32 apply (zenon_or_s _ _ zenon_Ha7); [ zenon_intro zenon_H92 | zenon_intro zenon_Ha9 ].
% 55.20/55.32 apply (zenon_L25_); trivial.
% 55.20/55.32 apply (zenon_or_s _ _ zenon_Ha9); [ zenon_intro zenon_H97 | zenon_intro zenon_H9e ].
% 55.20/55.32 apply (zenon_L26_); trivial.
% 55.20/55.32 apply (zenon_L27_); trivial.
% 55.20/55.32 apply (zenon_L738_); trivial.
% 55.20/55.32 (* end of lemma zenon_L978_ *)
% 55.20/55.32 assert (zenon_L979_ : (((op2 (e20) (e22)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e23) (e22)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e22)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e23)) = (e20))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> ((e22) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> ((op2 (e20) (e21)) = (e21)) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> (((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e21)) = (e22))\/((op2 (e23) (e21)) = (e23))))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> ((h2 (e11)) = (e21)) -> ((h2 (e13)) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> (~((h2 (op1 (e13) (e11))) = (op2 (h2 (e13)) (h2 (e11))))) -> ((op1 (e12) (e11)) = (e12)) -> (~((e12) = (e13))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> ((op1 (e11) (op1 (e11) (e13))) = (e13)) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> ((op1 (e10) (e11)) = (e11)) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> ((e12) = (op1 (op1 (op1 (e11) (e11)) (op1 (e11) (e11))) (op1 (e11) (e11)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> ((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) -> ((e10) = (op1 (e11) (e11))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (~((op2 (e20) (e20)) = (op2 (e23) (e20)))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (((op2 (e22) (e22)) = (e20))\/(((op2 (e22) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e22)) = (e23))))) -> ((op2 (e22) (e20)) = (e20)) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> (~((op2 (e22) (e22)) = (e21))) -> ((op2 (e21) (e22)) = (e22)) -> ((op2 (e21) (op2 (e21) (e22))) = (e22)) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> ((e23) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((op2 (e20) (e20)) = (e23)) -> ((e20) = (op2 (e21) (e21))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> False).
% 55.20/55.33 do 0 intro. intros zenon_H43a zenon_H98 zenon_H9f zenon_H3a8 zenon_H3c2 zenon_Had zenon_H489 zenon_H3af zenon_H3f zenon_H60 zenon_H282 zenon_Hb9 zenon_H39d zenon_H3b1 zenon_H1a0 zenon_H270 zenon_H461 zenon_H522 zenon_H202 zenon_H236 zenon_H2e7 zenon_H2ad zenon_H29e zenon_H360 zenon_H1cc zenon_H2f8 zenon_H1fe zenon_H1fd zenon_H172 zenon_H155 zenon_H18a zenon_H301 zenon_H316 zenon_H1d8 zenon_H1b1 zenon_H1be zenon_H2b9 zenon_H313 zenon_H17 zenon_H1e zenon_H15 zenon_H13 zenon_H25 zenon_H55 zenon_H3b7 zenon_H100 zenon_H121 zenon_H37d zenon_H101 zenon_Hd4 zenon_H481 zenon_H40c zenon_H3b zenon_Ha8 zenon_H33 zenon_Hfc.
% 55.20/55.33 apply (zenon_or_s _ _ zenon_H43a); [ zenon_intro zenon_H97 | zenon_intro zenon_H43b ].
% 55.20/55.33 apply (zenon_L26_); trivial.
% 55.20/55.33 apply (zenon_or_s _ _ zenon_H43b); [ zenon_intro zenon_H38e | zenon_intro zenon_H43c ].
% 55.20/55.33 apply (zenon_L590_); trivial.
% 55.20/55.33 apply (zenon_or_s _ _ zenon_H43c); [ zenon_intro zenon_Hf6 | zenon_intro zenon_Hfb ].
% 55.20/55.33 apply (zenon_L968_); trivial.
% 55.20/55.33 apply (zenon_L799_); trivial.
% 55.20/55.33 (* end of lemma zenon_L979_ *)
% 55.20/55.33 assert (zenon_L980_ : ((~((op2 (e20) (e22)) = (e20)))\/(~((op2 (e20) (e20)) = (e22)))) -> ((((op1 (e10) (op1 (e10) (e10))) = (e10))/\(((op1 (e10) (op1 (e10) (e11))) = (e11))/\(((op1 (e10) (op1 (e10) (e12))) = (e12))/\(((op1 (e10) (op1 (e10) (e13))) = (e13))/\(((~((op1 (e10) (e10)) = (e10)))\/((op1 (e10) (e10)) = (e10)))/\(((~((op1 (e11) (e11)) = (e10)))\/((op1 (e11) (e10)) = (e11)))/\(((~((op1 (e12) (e12)) = (e10)))\/((op1 (e12) (e10)) = (e12)))/\((~((op1 (e13) (e13)) = (e10)))\/((op1 (e13) (e10)) = (e13))))))))))\/((((op1 (e11) (op1 (e11) (e10))) = (e10))/\(((op1 (e11) (op1 (e11) (e11))) = (e11))/\(((op1 (e11) (op1 (e11) (e12))) = (e12))/\(((op1 (e11) (op1 (e11) (e13))) = (e13))/\(((~((op1 (e10) (e10)) = (e11)))\/((op1 (e10) (e11)) = (e10)))/\(((~((op1 (e11) (e11)) = (e11)))\/((op1 (e11) (e11)) = (e11)))/\(((~((op1 (e12) (e12)) = (e11)))\/((op1 (e12) (e11)) = (e12)))/\((~((op1 (e13) (e13)) = (e11)))\/((op1 (e13) (e11)) = (e13))))))))))\/((((op1 (e12) (op1 (e12) (e10))) = (e10))/\(((op1 (e12) (op1 (e12) (e11))) = (e11))/\(((op1 (e12) (op1 (e12) (e12))) = (e12))/\(((op1 (e12) (op1 (e12) (e13))) = (e13))/\(((~((op1 (e10) (e10)) = (e12)))\/((op1 (e10) (e12)) = (e10)))/\(((~((op1 (e11) (e11)) = (e12)))\/((op1 (e11) (e12)) = (e11)))/\(((~((op1 (e12) (e12)) = (e12)))\/((op1 (e12) (e12)) = (e12)))/\((~((op1 (e13) (e13)) = (e12)))\/((op1 (e13) (e12)) = (e13))))))))))\/(((op1 (e13) (op1 (e13) (e10))) = (e10))/\(((op1 (e13) (op1 (e13) (e11))) = (e11))/\(((op1 (e13) (op1 (e13) (e12))) = (e12))/\(((op1 (e13) (op1 (e13) (e13))) = (e13))/\(((~((op1 (e10) (e10)) = (e13)))\/((op1 (e10) (e13)) = (e10)))/\(((~((op1 (e11) (e11)) = (e13)))\/((op1 (e11) (e13)) = (e11)))/\(((~((op1 (e12) (e12)) = (e13)))\/((op1 (e12) (e13)) = (e12)))/\((~((op1 (e13) (e13)) = (e13)))\/((op1 (e13) (e13)) = (e13))))))))))))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e12) (e13)) = (e10))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e12) (e11)) = (e13))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> (((op2 (e20) (e20)) = (e22))\/(((op2 (e21) (e20)) = (e22))\/(((op2 (e22) (e20)) = (e22))\/((op2 (e23) (e20)) = (e22))))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e20)) = (e20))\/(((op2 (e22) (e20)) = (e20))\/((op2 (e23) (e20)) = (e20))))) -> (~((e20) = (e22))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (((op2 (e23) (e20)) = (e22))\/(((op2 (e23) (e21)) = (e22))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> ((op2 (e21) (op2 (e21) (e23))) = (e23)) -> (~((op2 (e21) (e22)) = (op2 (e21) (e23)))) -> (((op2 (e21) (e20)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/((op2 (e21) (e23)) = (e23))))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> ((op2 (e21) (op2 (e21) (e22))) = (e22)) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> (((op2 (e22) (e22)) = (e20))\/(((op2 (e22) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e22)) = (e23))))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e22) (e22)) = (e21))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> ((op2 (e20) (e21)) = (e21)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e21)) = (e22))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((h2 (op1 (e13) (e11))) = (op2 (h2 (e13)) (h2 (e11))))) -> ((h2 (e11)) = (e21)) -> ((h2 (e13)) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op2 (e20) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e20) (e22)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e23) (e22)) = (e23))))) -> ((e22) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> ((e10) = (op1 (e11) (e11))) -> ((((op1 (e10) (e10)) = (e10))/\(((op1 (e10) (e10)) = (e10))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11))))/\(((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12))))/\((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))))))))\/((((op1 (e10) (e11)) = (e10))/\(((op1 (e11) (e10)) = (e10))/\(((~((op1 (e11) (e10)) = (e11)))\/(~((op1 (e11) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e11) (e12)) = (e11)))\/(~((op1 (e11) (e11)) = (e12))))/\((~((op1 (e11) (e13)) = (e11)))\/(~((op1 (e11) (e11)) = (e13)))))))))\/((((op1 (e10) (e12)) = (e10))/\(((op1 (e12) (e10)) = (e10))/\(((~((op1 (e12) (e10)) = (e12)))\/(~((op1 (e12) (e12)) = (e10))))/\(((~((op1 (e12) (e11)) = (e12)))\/(~((op1 (e12) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13)))))))))\/((((op1 (e10) (e13)) = (e10))/\(((op1 (e13) (e10)) = (e10))/\(((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e13) (e13)) = (e10))))/\(((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11))))/\(((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e13) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13)))))))))\/((((op1 (e11) (e10)) = (e11))/\(((op1 (e10) (e11)) = (e11))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11))))/\(((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12))))/\((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))))))))\/((((op1 (e11) (e11)) = (e11))/\(((op1 (e11) (e11)) = (e11))/\(((~((op1 (e11) (e10)) = (e11)))\/(~((op1 (e11) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e11) (e12)) = (e11)))\/(~((op1 (e11) (e11)) = (e12))))/\((~((op1 (e11) (e13)) = (e11)))\/(~((op1 (e11) (e11)) = (e13)))))))))\/((((op1 (e11) (e12)) = (e11))/\(((op1 (e12) (e11)) = (e11))/\(((~((op1 (e12) (e10)) = (e12)))\/(~((op1 (e12) (e12)) = (e10))))/\(((~((op1 (e12) (e11)) = (e12)))\/(~((op1 (e12) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13)))))))))\/((((op1 (e11) (e13)) = (e11))/\(((op1 (e13) (e11)) = (e11))/\(((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e13) (e13)) = (e10))))/\(((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11))))/\(((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e13) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13)))))))))\/((((op1 (e12) (e10)) = (e12))/\(((op1 (e10) (e12)) = (e12))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11))))/\(((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12))))/\((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))))))))\/((((op1 (e12) (e11)) = (e12))/\(((op1 (e11) (e12)) = (e12))/\(((~((op1 (e11) (e10)) = (e11)))\/(~((op1 (e11) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e11) (e12)) = (e11)))\/(~((op1 (e11) (e11)) = (e12))))/\((~((op1 (e11) (e13)) = (e11)))\/(~((op1 (e11) (e11)) = (e13)))))))))\/((((op1 (e12) (e12)) = (e12))/\(((op1 (e12) (e12)) = (e12))/\(((~((op1 (e12) (e10)) = (e12)))\/(~((op1 (e12) (e12)) = (e10))))/\(((~((op1 (e12) (e11)) = (e12)))\/(~((op1 (e12) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13)))))))))\/((((op1 (e12) (e13)) = (e12))/\(((op1 (e13) (e12)) = (e12))/\(((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e13) (e13)) = (e10))))/\(((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11))))/\(((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e13) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13)))))))))\/((((op1 (e13) (e10)) = (e13))/\(((op1 (e10) (e13)) = (e13))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11))))/\(((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12))))/\((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))))))))\/((((op1 (e13) (e11)) = (e13))/\(((op1 (e11) (e13)) = (e13))/\(((~((op1 (e11) (e10)) = (e11)))\/(~((op1 (e11) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e11) (e12)) = (e11)))\/(~((op1 (e11) (e11)) = (e12))))/\((~((op1 (e11) (e13)) = (e11)))\/(~((op1 (e11) (e11)) = (e13)))))))))\/((((op1 (e13) (e12)) = (e13))/\(((op1 (e12) (e13)) = (e13))/\(((~((op1 (e12) (e10)) = (e12)))\/(~((op1 (e12) (e12)) = (e10))))/\(((~((op1 (e12) (e11)) = (e12)))\/(~((op1 (e12) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13)))))))))\/(((op1 (e13) (e13)) = (e13))/\(((op1 (e13) (e13)) = (e13))/\(((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e13) (e13)) = (e10))))/\(((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11))))/\(((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e13) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13)))))))))))))))))))))))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((e12) = (e13))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e13) (e13)) = (e10))\/(((op1 (e13) (e13)) = (e11))\/(((op1 (e13) (e13)) = (e12))\/((op1 (e13) (e13)) = (e13))))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (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) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e11)) = (e12))\/((op1 (e10) (e11)) = (e13))))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((e10) = (e12))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> ((e12) = (op1 (op1 (op1 (e11) (e11)) (op1 (e11) (e11))) (op1 (e11) (e11)))) -> ((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e12))\/((op1 (e11) (e10)) = (e13))))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e20) (e21)) = (e20))\/(((op2 (e20) (e22)) = (e20))\/((op2 (e20) (e23)) = (e20))))) -> ((e20) = (op2 (e21) (e21))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> (~((op2 (e20) (e20)) = (e20))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e20) (e21)) = (e23))\/(((op2 (e20) (e22)) = (e23))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e22)))) -> ((e23) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> ((~((op2 (e20) (e23)) = (e20)))\/(~((op2 (e20) (e20)) = (e23)))) -> False).
% 55.20/55.33 do 0 intro. intros zenon_Hbc zenon_H36e zenon_H358 zenon_H355 zenon_H345 zenon_H35d zenon_H2d1 zenon_H2c9 zenon_H2d9 zenon_H2e6 zenon_H2e2 zenon_H2ea zenon_H30e zenon_H30b zenon_H321 zenon_H322 zenon_H325 zenon_H328 zenon_H2f6 zenon_H2fb zenon_H2fd zenon_H32e zenon_H32b zenon_Hb0 zenon_Hb7 zenon_H2b1 zenon_H2a5 zenon_H2a3 zenon_H4e6 zenon_H4e2 zenon_H67 zenon_H6e zenon_H74 zenon_H4ae zenon_H45 zenon_H3b4 zenon_H116 zenon_H395 zenon_H47a zenon_H399 zenon_H489 zenon_H481 zenon_H3a8 zenon_H3c2 zenon_H100 zenon_H40c zenon_H101 zenon_H37d zenon_H437 zenon_H3b7 zenon_H39d zenon_H282 zenon_Hb9 zenon_H60 zenon_H3af zenon_H3b1 zenon_Hfc zenon_H2c2 zenon_H2c0 zenon_H2e7 zenon_H2b9 zenon_H522 zenon_H270 zenon_H461 zenon_H301 zenon_H2f8 zenon_H360 zenon_H316 zenon_H2ad zenon_H313 zenon_H55 zenon_H3cb zenon_H43a zenon_H3f zenon_H3e zenon_H32 zenon_H13 zenon_H245 zenon_H23b zenon_H236 zenon_H21a zenon_H20c zenon_H1be zenon_H1b1 zenon_H1de zenon_H1cc zenon_H1d8 zenon_H1da zenon_H1e8 zenon_H1ed zenon_H1f4 zenon_H1f7 zenon_H1fa zenon_H1fd zenon_H204 zenon_H206 zenon_H209 zenon_H1a9 zenon_H17 zenon_H1e zenon_H25 zenon_H1a0 zenon_H19d zenon_H246 zenon_H192 zenon_H18e zenon_H18a zenon_H16c zenon_H172 zenon_H179 zenon_H180 zenon_H186 zenon_H14b zenon_H154 zenon_H155 zenon_H15 zenon_H15a zenon_H15f zenon_Hac zenon_H33 zenon_H8d zenon_H31 zenon_Ha5 zenon_H9f zenon_H98 zenon_H3b zenon_H93 zenon_Haa.
% 55.20/55.33 apply (zenon_or_s _ _ zenon_Hbc); [ zenon_intro zenon_Hab | zenon_intro zenon_Hbd ].
% 55.20/55.33 apply (zenon_L29_); trivial.
% 55.20/55.33 apply (zenon_or_s _ _ zenon_Haa); [ zenon_intro zenon_Had | zenon_intro zenon_Ha6 ].
% 55.20/55.33 apply (zenon_or_s _ _ zenon_H36e); [ zenon_intro zenon_H244 | zenon_intro zenon_H36f ].
% 55.20/55.33 apply (zenon_L126_); trivial.
% 55.20/55.33 apply (zenon_or_s _ _ zenon_H36f); [ zenon_intro zenon_H371 | zenon_intro zenon_H370 ].
% 55.20/55.33 apply (zenon_and_s _ _ zenon_H371). zenon_intro zenon_H292. zenon_intro zenon_H372.
% 55.20/55.33 apply (zenon_and_s _ _ zenon_H372). zenon_intro zenon_H2a6. zenon_intro zenon_H373.
% 55.20/55.33 apply (zenon_and_s _ _ zenon_H373). zenon_intro zenon_H375. zenon_intro zenon_H374.
% 55.20/55.33 apply (zenon_and_s _ _ zenon_H374). zenon_intro zenon_H29e. zenon_intro zenon_H376.
% 55.20/55.33 apply (zenon_and_s _ _ zenon_H376). zenon_intro zenon_H378. zenon_intro zenon_H377.
% 55.20/55.33 apply (zenon_and_s _ _ zenon_H377). zenon_intro zenon_H37a. zenon_intro zenon_H379.
% 55.20/55.33 apply (zenon_and_s _ _ zenon_H379). zenon_intro zenon_H37c. zenon_intro zenon_H37b.
% 55.20/55.33 apply (zenon_or_s _ _ zenon_H37c); [ zenon_intro zenon_H23f | zenon_intro zenon_H202 ].
% 55.20/55.33 apply (zenon_or_s _ _ zenon_H37b); [ zenon_intro zenon_H20d | zenon_intro zenon_H1c3 ].
% 55.20/55.33 apply (zenon_or_s _ _ zenon_H245); [ zenon_intro zenon_H147 | zenon_intro zenon_H254 ].
% 55.20/55.33 apply (zenon_L60_); trivial.
% 55.20/55.33 apply (zenon_or_s _ _ zenon_H254); [ zenon_intro zenon_H164 | zenon_intro zenon_H255 ].
% 55.20/55.33 apply (zenon_L66_); trivial.
% 55.20/55.33 apply (zenon_or_s _ _ zenon_H255); [ zenon_intro zenon_H197 | zenon_intro zenon_H256 ].
% 55.20/55.33 apply (zenon_L976_); trivial.
% 55.20/55.33 apply (zenon_or_s _ _ zenon_H256); [ zenon_intro zenon_H199 | zenon_intro zenon_H257 ].
% 55.20/55.33 apply (zenon_L77_); trivial.
% 55.20/55.33 apply (zenon_or_s _ _ zenon_H257); [ zenon_intro zenon_H259 | zenon_intro zenon_H258 ].
% 55.20/55.33 apply (zenon_L978_); trivial.
% 55.20/55.33 apply (zenon_or_s _ _ zenon_H258); [ zenon_intro zenon_H1a5 | zenon_intro zenon_H262 ].
% 55.20/55.33 apply (zenon_L80_); trivial.
% 55.20/55.33 apply (zenon_or_s _ _ zenon_H262); [ zenon_intro zenon_H1ae | zenon_intro zenon_H263 ].
% 55.20/55.33 apply (zenon_L83_); trivial.
% 55.20/55.33 apply (zenon_or_s _ _ zenon_H263); [ zenon_intro zenon_H212 | zenon_intro zenon_H264 ].
% 55.20/55.33 apply (zenon_L161_); trivial.
% 55.20/55.33 apply (zenon_or_s _ _ zenon_H264); [ zenon_intro zenon_H220 | zenon_intro zenon_H265 ].
% 55.20/55.33 apply (zenon_L110_); trivial.
% 55.20/55.33 apply (zenon_or_s _ _ zenon_H265); [ zenon_intro zenon_H222 | zenon_intro zenon_H266 ].
% 55.20/55.33 apply (zenon_L111_); trivial.
% 55.20/55.33 apply (zenon_or_s _ _ zenon_H266); [ zenon_intro zenon_H225 | zenon_intro zenon_H267 ].
% 55.20/55.33 apply (zenon_L113_); trivial.
% 55.20/55.33 apply (zenon_or_s _ _ zenon_H267); [ zenon_intro zenon_H22d | zenon_intro zenon_H268 ].
% 55.20/55.33 apply (zenon_L114_); trivial.
% 55.20/55.33 apply (zenon_or_s _ _ zenon_H268); [ zenon_intro zenon_H230 | zenon_intro zenon_H269 ].
% 55.20/55.33 apply (zenon_L115_); trivial.
% 55.20/55.33 apply (zenon_or_s _ _ zenon_H269); [ zenon_intro zenon_H232 | zenon_intro zenon_H26a ].
% 55.20/55.33 apply (zenon_L116_); trivial.
% 55.20/55.33 apply (zenon_or_s _ _ zenon_H26a); [ zenon_intro zenon_H240 | zenon_intro zenon_H242 ].
% 55.20/55.33 apply (zenon_L166_); trivial.
% 55.20/55.33 apply (zenon_L125_); trivial.
% 55.20/55.33 apply (zenon_or_s _ _ zenon_H245); [ zenon_intro zenon_H147 | zenon_intro zenon_H254 ].
% 55.20/55.33 apply (zenon_L60_); trivial.
% 55.20/55.33 apply (zenon_or_s _ _ zenon_H254); [ zenon_intro zenon_H164 | zenon_intro zenon_H255 ].
% 55.20/55.33 apply (zenon_L66_); trivial.
% 55.20/55.33 apply (zenon_or_s _ _ zenon_H255); [ zenon_intro zenon_H197 | zenon_intro zenon_H256 ].
% 55.20/55.33 apply (zenon_L976_); trivial.
% 55.20/55.33 apply (zenon_or_s _ _ zenon_H256); [ zenon_intro zenon_H199 | zenon_intro zenon_H257 ].
% 55.20/55.33 apply (zenon_L77_); trivial.
% 55.20/55.33 apply (zenon_or_s _ _ zenon_H257); [ zenon_intro zenon_H259 | zenon_intro zenon_H258 ].
% 55.20/55.33 apply (zenon_L978_); trivial.
% 55.20/55.33 apply (zenon_or_s _ _ zenon_H258); [ zenon_intro zenon_H1a5 | zenon_intro zenon_H262 ].
% 55.20/55.33 apply (zenon_L80_); trivial.
% 55.20/55.33 apply (zenon_or_s _ _ zenon_H262); [ zenon_intro zenon_H1ae | zenon_intro zenon_H263 ].
% 55.20/55.33 apply (zenon_L83_); trivial.
% 55.20/55.33 apply (zenon_or_s _ _ zenon_H263); [ zenon_intro zenon_H212 | zenon_intro zenon_H264 ].
% 55.20/55.33 apply (zenon_L167_); trivial.
% 55.20/55.33 apply (zenon_or_s _ _ zenon_H264); [ zenon_intro zenon_H220 | zenon_intro zenon_H265 ].
% 55.20/55.33 apply (zenon_L110_); trivial.
% 55.20/55.33 apply (zenon_or_s _ _ zenon_H265); [ zenon_intro zenon_H222 | zenon_intro zenon_H266 ].
% 55.20/55.33 apply (zenon_L111_); trivial.
% 55.20/55.33 apply (zenon_or_s _ _ zenon_H266); [ zenon_intro zenon_H225 | zenon_intro zenon_H267 ].
% 55.20/55.33 apply (zenon_L113_); trivial.
% 55.20/55.33 apply (zenon_or_s _ _ zenon_H267); [ zenon_intro zenon_H22d | zenon_intro zenon_H268 ].
% 55.20/55.33 apply (zenon_L114_); trivial.
% 55.20/55.33 apply (zenon_or_s _ _ zenon_H268); [ zenon_intro zenon_H230 | zenon_intro zenon_H269 ].
% 55.20/55.33 apply (zenon_L115_); trivial.
% 55.20/55.33 apply (zenon_or_s _ _ zenon_H269); [ zenon_intro zenon_H232 | zenon_intro zenon_H26a ].
% 55.20/55.33 apply (zenon_L116_); trivial.
% 55.20/55.33 apply (zenon_or_s _ _ zenon_H26a); [ zenon_intro zenon_H240 | zenon_intro zenon_H242 ].
% 55.20/55.33 apply (zenon_L166_); trivial.
% 55.20/55.33 apply (zenon_L125_); trivial.
% 55.20/55.33 apply (zenon_or_s _ _ zenon_H245); [ zenon_intro zenon_H147 | zenon_intro zenon_H254 ].
% 55.20/55.33 apply (zenon_L60_); trivial.
% 55.20/55.33 apply (zenon_or_s _ _ zenon_H254); [ zenon_intro zenon_H164 | zenon_intro zenon_H255 ].
% 55.20/55.33 apply (zenon_L66_); trivial.
% 55.20/55.33 apply (zenon_or_s _ _ zenon_H255); [ zenon_intro zenon_H197 | zenon_intro zenon_H256 ].
% 55.20/55.33 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_H18f. zenon_intro zenon_H198.
% 55.20/55.33 apply (zenon_and_s _ _ zenon_H198). zenon_intro zenon_H293. zenon_intro zenon_H227.
% 55.20/55.33 apply (zenon_and_s _ _ zenon_H227). zenon_intro zenon_H229. zenon_intro zenon_H228.
% 55.20/55.33 apply (zenon_and_s _ _ zenon_H228). zenon_intro zenon_H22b. zenon_intro zenon_H22a.
% 55.20/55.33 apply (zenon_and_s _ _ zenon_H22a). zenon_intro zenon_H224. zenon_intro zenon_H22c.
% 55.20/55.33 apply (zenon_or_s _ _ zenon_H22b); [ zenon_intro zenon_H23c | zenon_intro zenon_H23f ].
% 55.20/55.33 exact (zenon_H23c zenon_H202).
% 55.20/55.33 apply (zenon_L975_); trivial.
% 55.20/55.33 apply (zenon_or_s _ _ zenon_H256); [ zenon_intro zenon_H199 | zenon_intro zenon_H257 ].
% 55.20/55.33 apply (zenon_L77_); trivial.
% 55.20/55.33 apply (zenon_or_s _ _ zenon_H257); [ zenon_intro zenon_H259 | zenon_intro zenon_H258 ].
% 55.20/55.33 apply (zenon_and_s _ _ zenon_H259). zenon_intro zenon_H163. zenon_intro zenon_H25a.
% 55.20/55.33 apply (zenon_and_s _ _ zenon_H25a). zenon_intro zenon_H1fe. zenon_intro zenon_H149.
% 55.20/55.33 apply (zenon_or_s _ _ zenon_H4e6); [ zenon_intro zenon_H2d | zenon_intro zenon_H4e7 ].
% 55.20/55.33 exact (zenon_H31 zenon_H2d).
% 55.20/55.33 apply (zenon_or_s _ _ zenon_H4e7); [ zenon_intro zenon_H34 | zenon_intro zenon_H4e8 ].
% 55.20/55.33 apply (zenon_L6_); trivial.
% 55.20/55.33 apply (zenon_or_s _ _ zenon_H4e8); [ zenon_intro zenon_H121 | zenon_intro zenon_H80 ].
% 55.20/55.33 apply (zenon_or_s _ _ zenon_Ha5); [ zenon_intro zenon_Ha8 | zenon_intro zenon_Ha7 ].
% 55.20/55.33 apply (zenon_or_s _ _ zenon_H4ae); [ zenon_intro zenon_H40 | zenon_intro zenon_H4af ].
% 55.20/55.33 apply (zenon_L8_); trivial.
% 55.20/55.33 apply (zenon_or_s _ _ zenon_H4af); [ zenon_intro zenon_H401 | zenon_intro zenon_H4b0 ].
% 55.20/55.33 apply (zenon_L969_); trivial.
% 55.20/55.33 apply (zenon_or_s _ _ zenon_H4b0); [ zenon_intro zenon_Hd4 | zenon_intro zenon_H478 ].
% 55.20/55.33 apply (zenon_L979_); trivial.
% 55.20/55.33 apply (zenon_L712_); trivial.
% 55.20/55.33 apply (zenon_or_s _ _ zenon_Ha7); [ zenon_intro zenon_H92 | zenon_intro zenon_Ha9 ].
% 55.20/55.33 apply (zenon_L25_); trivial.
% 55.20/55.33 apply (zenon_or_s _ _ zenon_Ha9); [ zenon_intro zenon_H97 | zenon_intro zenon_H9e ].
% 55.20/55.33 apply (zenon_L26_); trivial.
% 55.20/55.33 apply (zenon_L27_); trivial.
% 55.20/55.33 apply (zenon_L738_); trivial.
% 55.20/55.33 apply (zenon_or_s _ _ zenon_H258); [ zenon_intro zenon_H1a5 | zenon_intro zenon_H262 ].
% 55.20/55.33 apply (zenon_L80_); trivial.
% 55.20/55.33 apply (zenon_or_s _ _ zenon_H262); [ zenon_intro zenon_H1ae | zenon_intro zenon_H263 ].
% 55.20/55.33 apply (zenon_L83_); trivial.
% 55.20/55.33 apply (zenon_or_s _ _ zenon_H263); [ zenon_intro zenon_H212 | zenon_intro zenon_H264 ].
% 55.20/55.33 apply (zenon_L169_); trivial.
% 55.20/55.33 apply (zenon_or_s _ _ zenon_H264); [ zenon_intro zenon_H220 | zenon_intro zenon_H265 ].
% 55.20/55.33 apply (zenon_L110_); trivial.
% 55.20/55.33 apply (zenon_or_s _ _ zenon_H265); [ zenon_intro zenon_H222 | zenon_intro zenon_H266 ].
% 55.20/55.33 apply (zenon_L111_); trivial.
% 55.20/55.33 apply (zenon_or_s _ _ zenon_H266); [ zenon_intro zenon_H225 | zenon_intro zenon_H267 ].
% 55.20/55.33 apply (zenon_L113_); trivial.
% 55.20/55.33 apply (zenon_or_s _ _ zenon_H267); [ zenon_intro zenon_H22d | zenon_intro zenon_H268 ].
% 55.20/55.33 apply (zenon_L114_); trivial.
% 55.20/55.33 apply (zenon_or_s _ _ zenon_H268); [ zenon_intro zenon_H230 | zenon_intro zenon_H269 ].
% 55.20/55.33 apply (zenon_L115_); trivial.
% 55.20/55.33 apply (zenon_or_s _ _ zenon_H269); [ zenon_intro zenon_H232 | zenon_intro zenon_H26a ].
% 55.20/55.33 apply (zenon_L116_); trivial.
% 55.20/55.33 apply (zenon_or_s _ _ zenon_H26a); [ zenon_intro zenon_H240 | zenon_intro zenon_H242 ].
% 55.20/55.33 apply (zenon_L166_); trivial.
% 55.20/55.33 apply (zenon_L125_); trivial.
% 55.20/55.33 apply (zenon_or_s _ _ zenon_H370); [ zenon_intro zenon_H335 | zenon_intro zenon_H363 ].
% 55.20/55.33 apply (zenon_L260_); trivial.
% 55.20/55.33 apply (zenon_L307_); trivial.
% 55.20/55.33 apply (zenon_L28_); trivial.
% 55.20/55.33 (* end of lemma zenon_L980_ *)
% 55.20/55.33 assert (zenon_L981_ : ((h2 (e11)) = (e21)) -> ((op1 (e13) (e12)) = (e11)) -> (~((e21) = (h2 (op1 (e13) (e12))))) -> False).
% 55.20/55.33 do 0 intro. intros zenon_H270 zenon_H31d zenon_H52d.
% 55.20/55.33 elim (classic ((h2 (op1 (e13) (e12))) = (h2 (op1 (e13) (e12))))); [ zenon_intro zenon_H52e | zenon_intro zenon_H52f ].
% 55.20/55.33 cut (((h2 (op1 (e13) (e12))) = (h2 (op1 (e13) (e12)))) = ((e21) = (h2 (op1 (e13) (e12))))).
% 55.20/55.33 intro zenon_D_pnotp.
% 55.20/55.33 apply zenon_H52d.
% 55.20/55.33 rewrite <- zenon_D_pnotp.
% 55.20/55.33 exact zenon_H52e.
% 55.20/55.33 cut (((h2 (op1 (e13) (e12))) = (h2 (op1 (e13) (e12))))); [idtac | apply NNPP; zenon_intro zenon_H52f].
% 55.20/55.33 cut (((h2 (op1 (e13) (e12))) = (e21))); [idtac | apply NNPP; zenon_intro zenon_H530].
% 55.20/55.33 congruence.
% 55.20/55.33 cut (((h2 (e11)) = (e21)) = ((h2 (op1 (e13) (e12))) = (e21))).
% 55.20/55.33 intro zenon_D_pnotp.
% 55.20/55.33 apply zenon_H530.
% 55.20/55.33 rewrite <- zenon_D_pnotp.
% 55.20/55.33 exact zenon_H270.
% 55.20/55.33 cut (((e21) = (e21))); [idtac | apply NNPP; zenon_intro zenon_H26e].
% 55.20/55.33 cut (((h2 (e11)) = (h2 (op1 (e13) (e12))))); [idtac | apply NNPP; zenon_intro zenon_H531].
% 55.20/55.33 congruence.
% 55.20/55.33 elim (classic ((h2 (op1 (e13) (e12))) = (h2 (op1 (e13) (e12))))); [ zenon_intro zenon_H52e | zenon_intro zenon_H52f ].
% 55.20/55.33 cut (((h2 (op1 (e13) (e12))) = (h2 (op1 (e13) (e12)))) = ((h2 (e11)) = (h2 (op1 (e13) (e12))))).
% 55.20/55.33 intro zenon_D_pnotp.
% 55.20/55.33 apply zenon_H531.
% 55.20/55.33 rewrite <- zenon_D_pnotp.
% 55.20/55.33 exact zenon_H52e.
% 55.20/55.33 cut (((h2 (op1 (e13) (e12))) = (h2 (op1 (e13) (e12))))); [idtac | apply NNPP; zenon_intro zenon_H52f].
% 55.20/55.33 cut (((h2 (op1 (e13) (e12))) = (h2 (e11)))); [idtac | apply NNPP; zenon_intro zenon_H532].
% 55.20/55.33 congruence.
% 55.20/55.33 cut (((op1 (e13) (e12)) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H533].
% 55.20/55.33 congruence.
% 55.20/55.33 exact (zenon_H533 zenon_H31d).
% 55.20/55.33 apply zenon_H52f. apply refl_equal.
% 55.20/55.33 apply zenon_H52f. apply refl_equal.
% 55.20/55.33 apply zenon_H26e. apply refl_equal.
% 55.20/55.33 apply zenon_H52f. apply refl_equal.
% 55.20/55.33 apply zenon_H52f. apply refl_equal.
% 55.20/55.33 (* end of lemma zenon_L981_ *)
% 55.20/55.33 assert (zenon_L982_ : ((op2 (e23) (e22)) = (e21)) -> ((h2 (e13)) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((e23) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((h2 (e12)) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> ((e22) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> ((h2 (e11)) = (e21)) -> ((op1 (e13) (e12)) = (e11)) -> (~((h2 (op1 (e13) (e12))) = (op2 (h2 (e13)) (h2 (e12))))) -> False).
% 55.20/55.33 do 0 intro. intros zenon_H3d1 zenon_H461 zenon_H3b zenon_H44f zenon_H3f zenon_H270 zenon_H31d zenon_H534.
% 55.20/55.33 elim (classic ((op2 (h2 (e13)) (h2 (e12))) = (op2 (h2 (e13)) (h2 (e12))))); [ zenon_intro zenon_H535 | zenon_intro zenon_H536 ].
% 55.20/55.33 cut (((op2 (h2 (e13)) (h2 (e12))) = (op2 (h2 (e13)) (h2 (e12)))) = ((h2 (op1 (e13) (e12))) = (op2 (h2 (e13)) (h2 (e12))))).
% 55.20/55.33 intro zenon_D_pnotp.
% 55.20/55.33 apply zenon_H534.
% 55.20/55.33 rewrite <- zenon_D_pnotp.
% 55.20/55.33 exact zenon_H535.
% 55.20/55.33 cut (((op2 (h2 (e13)) (h2 (e12))) = (op2 (h2 (e13)) (h2 (e12))))); [idtac | apply NNPP; zenon_intro zenon_H536].
% 55.20/55.33 cut (((op2 (h2 (e13)) (h2 (e12))) = (h2 (op1 (e13) (e12))))); [idtac | apply NNPP; zenon_intro zenon_H537].
% 55.20/55.33 congruence.
% 55.20/55.33 cut (((op2 (e23) (e22)) = (e21)) = ((op2 (h2 (e13)) (h2 (e12))) = (h2 (op1 (e13) (e12))))).
% 55.20/55.33 intro zenon_D_pnotp.
% 55.20/55.33 apply zenon_H537.
% 55.20/55.33 rewrite <- zenon_D_pnotp.
% 55.20/55.33 exact zenon_H3d1.
% 55.20/55.33 cut (((e21) = (h2 (op1 (e13) (e12))))); [idtac | apply NNPP; zenon_intro zenon_H52d].
% 55.20/55.33 cut (((op2 (e23) (e22)) = (op2 (h2 (e13)) (h2 (e12))))); [idtac | apply NNPP; zenon_intro zenon_H538].
% 55.20/55.33 congruence.
% 55.20/55.33 elim (classic ((op2 (h2 (e13)) (h2 (e12))) = (op2 (h2 (e13)) (h2 (e12))))); [ zenon_intro zenon_H535 | zenon_intro zenon_H536 ].
% 55.20/55.33 cut (((op2 (h2 (e13)) (h2 (e12))) = (op2 (h2 (e13)) (h2 (e12)))) = ((op2 (e23) (e22)) = (op2 (h2 (e13)) (h2 (e12))))).
% 55.20/55.33 intro zenon_D_pnotp.
% 55.20/55.33 apply zenon_H538.
% 55.20/55.33 rewrite <- zenon_D_pnotp.
% 55.20/55.33 exact zenon_H535.
% 55.20/55.33 cut (((op2 (h2 (e13)) (h2 (e12))) = (op2 (h2 (e13)) (h2 (e12))))); [idtac | apply NNPP; zenon_intro zenon_H536].
% 55.20/55.33 cut (((op2 (h2 (e13)) (h2 (e12))) = (op2 (e23) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H539].
% 55.20/55.33 congruence.
% 55.20/55.33 cut (((h2 (e12)) = (e22))); [idtac | apply NNPP; zenon_intro zenon_H44e].
% 55.20/55.33 cut (((h2 (e13)) = (e23))); [idtac | apply NNPP; zenon_intro zenon_H460].
% 55.20/55.33 congruence.
% 55.20/55.33 apply (zenon_L492_); trivial.
% 55.20/55.33 apply (zenon_L469_); trivial.
% 55.20/55.33 apply zenon_H536. apply refl_equal.
% 55.20/55.33 apply zenon_H536. apply refl_equal.
% 55.20/55.33 apply (zenon_L981_); trivial.
% 55.20/55.33 apply zenon_H536. apply refl_equal.
% 55.20/55.33 apply zenon_H536. apply refl_equal.
% 55.20/55.33 (* end of lemma zenon_L982_ *)
% 55.20/55.33 assert (zenon_L983_ : (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> ((op1 (e10) (e12)) = (e10)) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((h2 (op1 (e13) (e12))) = (op2 (h2 (e13)) (h2 (e12))))) -> ((h2 (e11)) = (e21)) -> ((e22) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> ((h2 (e12)) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> ((e23) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((h2 (e13)) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((op2 (e23) (e22)) = (e21)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> ((e12) = (op1 (op1 (op1 (e11) (e11)) (op1 (e11) (e11))) (op1 (e11) (e11)))) -> ((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) -> ((op1 (e10) (e10)) = (e13)) -> ((op1 (e12) (e12)) = (e13)) -> ((e10) = (op1 (e11) (e11))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> False).
% 55.20/55.33 do 0 intro. intros zenon_H325 zenon_H18f zenon_H18e zenon_H534 zenon_H270 zenon_H3f zenon_H44f zenon_H3b zenon_H461 zenon_H3d1 zenon_H179 zenon_H155 zenon_H15 zenon_H1a3 zenon_H1d3 zenon_H13 zenon_H1d8.
% 55.20/55.33 apply (zenon_or_s _ _ zenon_H325); [ zenon_intro zenon_H190 | zenon_intro zenon_H326 ].
% 55.20/55.33 apply (zenon_L74_); trivial.
% 55.20/55.33 apply (zenon_or_s _ _ zenon_H326); [ zenon_intro zenon_H31d | zenon_intro zenon_H327 ].
% 55.20/55.33 apply (zenon_L982_); trivial.
% 55.20/55.33 apply (zenon_or_s _ _ zenon_H327); [ zenon_intro zenon_H178 | zenon_intro zenon_H1ba ].
% 55.20/55.33 apply (zenon_L70_); trivial.
% 55.20/55.33 apply (zenon_L91_); trivial.
% 55.20/55.33 (* end of lemma zenon_L983_ *)
% 55.20/55.33 assert (zenon_L984_ : (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e10) (e10)) = (e13)) -> ((e12) = (op1 (op1 (op1 (e11) (e11)) (op1 (e11) (e11))) (op1 (e11) (e11)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> ((op2 (e23) (e22)) = (e21)) -> ((h2 (e13)) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((e23) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((h2 (e12)) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> ((e22) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> ((h2 (e11)) = (e21)) -> (~((h2 (op1 (e13) (e12))) = (op2 (h2 (e13)) (h2 (e12))))) -> ((op1 (e10) (e12)) = (e10)) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> ((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) -> ((op1 (e11) (e11)) = (e12)) -> ((e10) = (op1 (e11) (e11))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> False).
% 55.20/55.33 do 0 intro. intros zenon_H2c9 zenon_H1e zenon_H358 zenon_H1d8 zenon_H1a3 zenon_H155 zenon_H179 zenon_H3d1 zenon_H461 zenon_H3b zenon_H44f zenon_H3f zenon_H270 zenon_H534 zenon_H18f zenon_H325 zenon_H15 zenon_H1b8 zenon_H13 zenon_H18e.
% 55.20/55.33 apply (zenon_or_s _ _ zenon_H2c9); [ zenon_intro zenon_H1d | zenon_intro zenon_H2ca ].
% 55.20/55.33 apply (zenon_L3_); trivial.
% 55.20/55.33 apply (zenon_or_s _ _ zenon_H2ca); [ zenon_intro zenon_H1f3 | zenon_intro zenon_H2cb ].
% 55.20/55.33 apply (zenon_L289_); trivial.
% 55.20/55.33 apply (zenon_or_s _ _ zenon_H2cb); [ zenon_intro zenon_H1d3 | zenon_intro zenon_H1ba ].
% 55.20/55.33 apply (zenon_L983_); trivial.
% 55.20/55.33 apply (zenon_L86_); trivial.
% 55.20/55.33 (* end of lemma zenon_L984_ *)
% 55.20/55.33 assert (zenon_L985_ : (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> ((op1 (e11) (op1 (e11) (e10))) = (e10)) -> ((op1 (e12) (e10)) = (e10)) -> ((op1 (e11) (e10)) = (e11)) -> (~((op1 (e12) (e12)) = (e11))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> ((op1 (e11) (e12)) = (e12)) -> ((op1 (e13) (e10)) = (e12)) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> ((op1 (e10) (e12)) = (e10)) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((h2 (op1 (e13) (e12))) = (op2 (h2 (e13)) (h2 (e12))))) -> ((h2 (e11)) = (e21)) -> ((e22) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> ((h2 (e12)) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> ((e23) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((h2 (e13)) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((op2 (e23) (e22)) = (e21)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> ((e12) = (op1 (op1 (op1 (e11) (e11)) (op1 (e11) (e11))) (op1 (e11) (e11)))) -> ((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) -> ((op1 (e10) (e10)) = (e13)) -> ((e10) = (op1 (e11) (e11))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> False).
% 55.20/55.33 do 0 intro. intros zenon_H1da zenon_H1de zenon_H292 zenon_H293 zenon_H163 zenon_H23f zenon_H1cc zenon_H1c6 zenon_H16b zenon_H325 zenon_H18f zenon_H18e zenon_H534 zenon_H270 zenon_H3f zenon_H44f zenon_H3b zenon_H461 zenon_H3d1 zenon_H179 zenon_H155 zenon_H15 zenon_H1a3 zenon_H13 zenon_H1d8.
% 55.20/55.33 apply (zenon_or_s _ _ zenon_H1da); [ zenon_intro zenon_H1e0 | zenon_intro zenon_H1df ].
% 55.20/55.33 apply (zenon_L143_); trivial.
% 55.20/55.33 apply (zenon_or_s _ _ zenon_H1df); [ zenon_intro zenon_H1e2 | zenon_intro zenon_H1e1 ].
% 55.20/55.33 exact (zenon_H23f zenon_H1e2).
% 55.20/55.33 apply (zenon_or_s _ _ zenon_H1e1); [ zenon_intro zenon_H1cb | zenon_intro zenon_H1d3 ].
% 55.20/55.33 apply (zenon_L89_); trivial.
% 55.20/55.33 apply (zenon_L983_); trivial.
% 55.20/55.33 (* end of lemma zenon_L985_ *)
% 55.20/55.33 assert (zenon_L986_ : (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e10) (e10)) = (e13)) -> ((op2 (e23) (e22)) = (e21)) -> ((h2 (e13)) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((e23) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((h2 (e12)) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> ((e22) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> ((h2 (e11)) = (e21)) -> (~((h2 (op1 (e13) (e12))) = (op2 (h2 (e13)) (h2 (e12))))) -> (~((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) (e12)) = (e12)) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e12)) = (e11))) -> ((op1 (e11) (e10)) = (e11)) -> ((op1 (e12) (e10)) = (e10)) -> ((op1 (e11) (op1 (e11) (e10))) = (e10)) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> ((e12) = (op1 (op1 (op1 (e11) (e11)) (op1 (e11) (e11))) (op1 (e11) (e11)))) -> ((e10) = (op1 (e11) (e11))) -> ((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> False).
% 55.20/55.33 do 0 intro. intros zenon_H186 zenon_H1d8 zenon_H1a3 zenon_H3d1 zenon_H461 zenon_H3b zenon_H44f zenon_H3f zenon_H270 zenon_H534 zenon_H18e zenon_H18f zenon_H325 zenon_H1c6 zenon_H1cc zenon_H23f zenon_H163 zenon_H293 zenon_H292 zenon_H1de zenon_H1da zenon_H172 zenon_H179 zenon_H155 zenon_H13 zenon_H15 zenon_H180.
% 55.20/55.33 apply (zenon_or_s _ _ zenon_H186); [ zenon_intro zenon_H16b | zenon_intro zenon_H187 ].
% 55.20/55.33 apply (zenon_L985_); trivial.
% 55.20/55.33 apply (zenon_or_s _ _ zenon_H187); [ zenon_intro zenon_H171 | zenon_intro zenon_H188 ].
% 55.20/55.33 apply (zenon_L69_); trivial.
% 55.20/55.33 apply (zenon_or_s _ _ zenon_H188); [ zenon_intro zenon_H178 | zenon_intro zenon_H17f ].
% 55.20/55.33 apply (zenon_L70_); trivial.
% 55.20/55.33 apply (zenon_L71_); trivial.
% 55.20/55.33 (* end of lemma zenon_L986_ *)
% 55.20/55.33 assert (zenon_L987_ : (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> ((op1 (e10) (e12)) = (e10)) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((h2 (op1 (e13) (e12))) = (op2 (h2 (e13)) (h2 (e12))))) -> ((h2 (e11)) = (e21)) -> ((e22) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> ((h2 (e12)) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> ((e23) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((h2 (e13)) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((op2 (e23) (e22)) = (e21)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> ((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) -> ((e10) = (op1 (e11) (e11))) -> ((e12) = (op1 (op1 (op1 (e11) (e11)) (op1 (e11) (e11))) (op1 (e11) (e11)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e11) (op1 (e11) (e13))) = (e13)) -> ((op1 (e11) (e13)) = (e12)) -> False).
% 55.20/55.33 do 0 intro. intros zenon_H325 zenon_H18f zenon_H18e zenon_H534 zenon_H270 zenon_H3f zenon_H44f zenon_H3b zenon_H461 zenon_H3d1 zenon_H179 zenon_H15 zenon_H13 zenon_H155 zenon_H1f4 zenon_H29e zenon_H1ec.
% 55.20/55.33 apply (zenon_or_s _ _ zenon_H325); [ zenon_intro zenon_H190 | zenon_intro zenon_H326 ].
% 55.20/55.33 apply (zenon_L74_); trivial.
% 55.20/55.33 apply (zenon_or_s _ _ zenon_H326); [ zenon_intro zenon_H31d | zenon_intro zenon_H327 ].
% 55.20/55.33 apply (zenon_L982_); trivial.
% 55.20/55.33 apply (zenon_or_s _ _ zenon_H327); [ zenon_intro zenon_H178 | zenon_intro zenon_H1ba ].
% 55.20/55.33 apply (zenon_L70_); trivial.
% 55.20/55.33 apply (zenon_L159_); trivial.
% 55.20/55.33 (* end of lemma zenon_L987_ *)
% 55.20/55.33 assert (zenon_L988_ : (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> ((op1 (e11) (op1 (e11) (e13))) = (e13)) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> ((e12) = (op1 (op1 (op1 (e11) (e11)) (op1 (e11) (e11))) (op1 (e11) (e11)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> ((op2 (e23) (e22)) = (e21)) -> ((h2 (e13)) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((e23) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((h2 (e12)) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> ((e22) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> ((h2 (e11)) = (e21)) -> (~((h2 (op1 (e13) (e12))) = (op2 (h2 (e13)) (h2 (e12))))) -> (~((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) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e12))\/((op1 (e11) (e10)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> ((op1 (e11) (op1 (e11) (e10))) = (e10)) -> ((op1 (e12) (e10)) = (e10)) -> (~((op1 (e12) (e12)) = (e11))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> ((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) -> ((e10) = (op1 (e11) (e11))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> False).
% 55.20/55.33 do 0 intro. intros zenon_H1a0 zenon_H29e zenon_H1f4 zenon_H155 zenon_H179 zenon_H3d1 zenon_H461 zenon_H3b zenon_H44f zenon_H3f zenon_H270 zenon_H534 zenon_H18e zenon_H18f zenon_H325 zenon_H15f zenon_H14b zenon_H180 zenon_H172 zenon_H1da zenon_H1de zenon_H292 zenon_H293 zenon_H23f zenon_H1cc zenon_H1d8 zenon_H186 zenon_H154 zenon_H15a zenon_H2c9 zenon_H358 zenon_H1fa zenon_H17 zenon_H1e zenon_H15 zenon_H13 zenon_H25.
% 55.20/55.33 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_H1a3 | zenon_intro zenon_H1a2 ].
% 55.20/55.33 apply (zenon_or_s _ _ zenon_H1fa); [ zenon_intro zenon_H156 | zenon_intro zenon_H1fb ].
% 55.20/55.33 apply (zenon_L63_); trivial.
% 55.20/55.33 apply (zenon_or_s _ _ zenon_H1fb); [ zenon_intro zenon_H1b8 | zenon_intro zenon_H1fc ].
% 55.20/55.33 apply (zenon_L984_); trivial.
% 55.20/55.33 apply (zenon_or_s _ _ zenon_H1fc); [ zenon_intro zenon_H1c6 | zenon_intro zenon_H1ec ].
% 55.20/55.33 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_H14c | zenon_intro zenon_H161 ].
% 55.20/55.33 apply (zenon_L61_); trivial.
% 55.20/55.33 apply (zenon_or_s _ _ zenon_H161); [ zenon_intro zenon_H163 | zenon_intro zenon_H162 ].
% 55.20/55.33 apply (zenon_L986_); trivial.
% 55.20/55.33 apply (zenon_or_s _ _ zenon_H162); [ zenon_intro zenon_H156 | zenon_intro zenon_H159 ].
% 55.20/55.33 apply (zenon_L63_); trivial.
% 55.20/55.33 apply (zenon_L64_); trivial.
% 55.20/55.33 apply (zenon_L987_); trivial.
% 55.20/55.33 apply (zenon_or_s _ _ zenon_H1a2); [ zenon_intro zenon_H16 | zenon_intro zenon_H1a4 ].
% 55.20/55.33 apply (zenon_L2_); trivial.
% 55.20/55.33 apply (zenon_or_s _ _ zenon_H1a4); [ zenon_intro zenon_H1d | zenon_intro zenon_H24 ].
% 55.20/55.33 apply (zenon_L3_); trivial.
% 55.20/55.33 apply (zenon_L4_); trivial.
% 55.20/55.33 (* end of lemma zenon_L988_ *)
% 55.20/55.33 assert (zenon_L989_ : (((op2 (e23) (e22)) = (e20))\/(((op2 (e23) (e22)) = (e21))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e22)) = (e23))))) -> ((op2 (e20) (e22)) = (e20)) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> ((e10) = (op1 (e11) (e11))) -> ((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e12)) = (e11))) -> ((op1 (e12) (e10)) = (e10)) -> ((op1 (e11) (op1 (e11) (e10))) = (e10)) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e12))\/((op1 (e11) (e10)) = (e13))))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> ((op1 (e10) (e12)) = (e10)) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((h2 (op1 (e13) (e12))) = (op2 (h2 (e13)) (h2 (e12))))) -> ((h2 (e11)) = (e21)) -> ((h2 (e12)) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> ((h2 (e13)) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> ((e12) = (op1 (op1 (op1 (e11) (e11)) (op1 (e11) (e11))) (op1 (e11) (e11)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e11) (op1 (e11) (e13))) = (e13)) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> ((e22) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> ((e23) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((op2 (e20) (e20)) = (e23)) -> ((op2 (e22) (e22)) = (e23)) -> ((e20) = (op2 (e21) (e21))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> False).
% 55.20/55.33 do 0 intro. intros zenon_H3f4 zenon_H57 zenon_H3cb zenon_H25 zenon_H13 zenon_H15 zenon_H1e zenon_H17 zenon_H1fa zenon_H358 zenon_H2c9 zenon_H15a zenon_H154 zenon_H186 zenon_H1d8 zenon_H1cc zenon_H23f zenon_H293 zenon_H292 zenon_H1de zenon_H1da zenon_H172 zenon_H180 zenon_H14b zenon_H15f zenon_H325 zenon_H18f zenon_H18e zenon_H534 zenon_H270 zenon_H44f zenon_H461 zenon_H179 zenon_H155 zenon_H1f4 zenon_H29e zenon_H1a0 zenon_H67 zenon_H3f zenon_H3b zenon_Ha8 zenon_Hf6 zenon_H33 zenon_Hfc.
% 55.20/55.33 apply (zenon_or_s _ _ zenon_H3f4); [ zenon_intro zenon_H81 | zenon_intro zenon_H3f5 ].
% 55.20/55.33 apply (zenon_L357_); trivial.
% 55.20/55.33 apply (zenon_or_s _ _ zenon_H3f5); [ zenon_intro zenon_H3d1 | zenon_intro zenon_H3f6 ].
% 55.20/55.33 apply (zenon_L988_); trivial.
% 55.20/55.33 apply (zenon_or_s _ _ zenon_H3f6); [ zenon_intro zenon_H66 | zenon_intro zenon_Hfb ].
% 55.20/55.33 apply (zenon_L16_); trivial.
% 55.20/55.33 apply (zenon_L50_); trivial.
% 55.20/55.33 (* end of lemma zenon_L989_ *)
% 55.20/55.33 assert (zenon_L990_ : (((op2 (e20) (e20)) = (e23))\/(((op2 (e20) (e21)) = (e23))\/(((op2 (e20) (e22)) = (e23))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> ((e22) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> ((op1 (e11) (op1 (e11) (e13))) = (e13)) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> ((e12) = (op1 (op1 (op1 (e11) (e11)) (op1 (e11) (e11))) (op1 (e11) (e11)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> ((h2 (e13)) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((h2 (e12)) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> ((h2 (e11)) = (e21)) -> (~((h2 (op1 (e13) (e12))) = (op2 (h2 (e13)) (h2 (e12))))) -> (~((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) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e12))\/((op1 (e11) (e10)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> ((op1 (e11) (op1 (e11) (e10))) = (e10)) -> ((op1 (e12) (e10)) = (e10)) -> (~((op1 (e12) (e12)) = (e11))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> ((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) -> ((e10) = (op1 (e11) (e11))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> ((op2 (e20) (e22)) = (e20)) -> (((op2 (e23) (e22)) = (e20))\/(((op2 (e23) (e22)) = (e21))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e22)) = (e23))))) -> (~((op2 (e22) (e22)) = (e22))) -> (~((op2 (e22) (e22)) = (e21))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> ((op2 (e22) (e20)) = (e20)) -> (((op2 (e22) (e22)) = (e20))\/(((op2 (e22) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e22)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e22)))) -> ((e23) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((e20) = (op2 (e21) (e21))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> False).
% 55.20/55.33 do 0 intro. intros zenon_Ha5 zenon_Hfc zenon_H3f zenon_H67 zenon_H1a0 zenon_H29e zenon_H1f4 zenon_H155 zenon_H179 zenon_H461 zenon_H44f zenon_H270 zenon_H534 zenon_H18e zenon_H18f zenon_H325 zenon_H15f zenon_H14b zenon_H180 zenon_H172 zenon_H1da zenon_H1de zenon_H292 zenon_H293 zenon_H23f zenon_H1cc zenon_H1d8 zenon_H186 zenon_H154 zenon_H15a zenon_H2c9 zenon_H358 zenon_H1fa zenon_H17 zenon_H1e zenon_H15 zenon_H13 zenon_H25 zenon_H3cb zenon_H57 zenon_H3f4 zenon_Hd7 zenon_H101 zenon_H37d zenon_H121 zenon_H100 zenon_H93 zenon_H98 zenon_H3b zenon_H33 zenon_H9f.
% 55.20/55.33 apply (zenon_or_s _ _ zenon_Ha5); [ zenon_intro zenon_Ha8 | zenon_intro zenon_Ha7 ].
% 55.20/55.33 apply (zenon_or_s _ _ zenon_H100); [ zenon_intro zenon_H88 | zenon_intro zenon_H102 ].
% 55.20/55.33 apply (zenon_L309_); trivial.
% 55.20/55.33 apply (zenon_or_s _ _ zenon_H102); [ zenon_intro zenon_H104 | zenon_intro zenon_H103 ].
% 55.20/55.33 exact (zenon_H101 zenon_H104).
% 55.20/55.33 apply (zenon_or_s _ _ zenon_H103); [ zenon_intro zenon_Hd6 | zenon_intro zenon_Hf6 ].
% 55.20/55.33 exact (zenon_Hd7 zenon_Hd6).
% 55.20/55.33 apply (zenon_L989_); trivial.
% 55.20/55.33 apply (zenon_or_s _ _ zenon_Ha7); [ zenon_intro zenon_H92 | zenon_intro zenon_Ha9 ].
% 55.20/55.33 apply (zenon_L25_); trivial.
% 55.20/55.33 apply (zenon_or_s _ _ zenon_Ha9); [ zenon_intro zenon_H97 | zenon_intro zenon_H9e ].
% 55.20/55.33 apply (zenon_L26_); trivial.
% 55.20/55.33 apply (zenon_L27_); trivial.
% 55.20/55.33 (* end of lemma zenon_L990_ *)
% 55.20/55.33 assert (zenon_L991_ : (((op1 (e10) (e12)) = (e10))/\(((op1 (e12) (e10)) = (e10))/\(((~((op1 (e12) (e10)) = (e12)))\/(~((op1 (e12) (e12)) = (e10))))/\(((~((op1 (e12) (e11)) = (e12)))\/(~((op1 (e12) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13))))))))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e20) (e21)) = (e23))\/(((op2 (e20) (e22)) = (e23))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> ((e22) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> ((op1 (e11) (op1 (e11) (e13))) = (e13)) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> ((e12) = (op1 (op1 (op1 (e11) (e11)) (op1 (e11) (e11))) (op1 (e11) (e11)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> ((h2 (e13)) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((h2 (e12)) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> ((h2 (e11)) = (e21)) -> (~((h2 (op1 (e13) (e12))) = (op2 (h2 (e13)) (h2 (e12))))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e12))\/((op1 (e11) (e10)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> ((op1 (e11) (op1 (e11) (e10))) = (e10)) -> (~((op1 (e12) (e12)) = (e11))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> ((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) -> ((e10) = (op1 (e11) (e11))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> ((op2 (e20) (e22)) = (e20)) -> (((op2 (e23) (e22)) = (e20))\/(((op2 (e23) (e22)) = (e21))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e22)) = (e23))))) -> (~((op2 (e22) (e22)) = (e22))) -> (~((op2 (e22) (e22)) = (e21))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> ((op2 (e22) (e20)) = (e20)) -> (((op2 (e22) (e22)) = (e20))\/(((op2 (e22) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e22)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e22)))) -> ((e23) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((e20) = (op2 (e21) (e21))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> False).
% 55.20/55.33 do 0 intro. intros zenon_H197 zenon_Ha5 zenon_Hfc zenon_H3f zenon_H67 zenon_H1a0 zenon_H29e zenon_H1f4 zenon_H155 zenon_H179 zenon_H461 zenon_H44f zenon_H270 zenon_H534 zenon_H18e zenon_H325 zenon_H15f zenon_H14b zenon_H180 zenon_H172 zenon_H1da zenon_H1de zenon_H292 zenon_H23f zenon_H1cc zenon_H1d8 zenon_H186 zenon_H154 zenon_H15a zenon_H2c9 zenon_H358 zenon_H1fa zenon_H17 zenon_H1e zenon_H15 zenon_H13 zenon_H25 zenon_H3cb zenon_H57 zenon_H3f4 zenon_Hd7 zenon_H101 zenon_H37d zenon_H121 zenon_H100 zenon_H93 zenon_H98 zenon_H3b zenon_H33 zenon_H9f.
% 55.20/55.33 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_H18f. zenon_intro zenon_H198.
% 55.20/55.33 apply (zenon_and_s _ _ zenon_H198). zenon_intro zenon_H293. zenon_intro zenon_H227.
% 55.20/55.33 apply (zenon_L990_); trivial.
% 55.20/55.33 (* end of lemma zenon_L991_ *)
% 55.20/55.33 assert (zenon_L992_ : (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e10) (e10)) = (e13)) -> ((op1 (e13) (e10)) = (e12)) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e12)) = (e11))) -> ((op1 (e11) (e10)) = (e11)) -> ((op1 (e12) (e10)) = (e10)) -> ((op1 (e11) (op1 (e11) (e10))) = (e10)) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> ((op1 (e10) (e12)) = (e10)) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((h2 (op1 (e13) (e12))) = (op2 (h2 (e13)) (h2 (e12))))) -> ((h2 (e11)) = (e21)) -> ((e22) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> ((h2 (e12)) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> ((e23) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((h2 (e13)) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((op2 (e23) (e22)) = (e21)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> ((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) -> ((e10) = (op1 (e11) (e11))) -> ((e12) = (op1 (op1 (op1 (e11) (e11)) (op1 (e11) (e11))) (op1 (e11) (e11)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e11) (op1 (e11) (e13))) = (e13)) -> False).
% 55.20/55.33 do 0 intro. intros zenon_H1fa zenon_H154 zenon_H358 zenon_H1e zenon_H2c9 zenon_H1d8 zenon_H1a3 zenon_H16b zenon_H1cc zenon_H23f zenon_H163 zenon_H293 zenon_H292 zenon_H1de zenon_H1da zenon_H325 zenon_H18f zenon_H18e zenon_H534 zenon_H270 zenon_H3f zenon_H44f zenon_H3b zenon_H461 zenon_H3d1 zenon_H179 zenon_H15 zenon_H13 zenon_H155 zenon_H1f4 zenon_H29e.
% 55.20/55.33 apply (zenon_or_s _ _ zenon_H1fa); [ zenon_intro zenon_H156 | zenon_intro zenon_H1fb ].
% 55.20/55.33 apply (zenon_L63_); trivial.
% 55.20/55.33 apply (zenon_or_s _ _ zenon_H1fb); [ zenon_intro zenon_H1b8 | zenon_intro zenon_H1fc ].
% 55.20/55.33 apply (zenon_L984_); trivial.
% 55.20/55.33 apply (zenon_or_s _ _ zenon_H1fc); [ zenon_intro zenon_H1c6 | zenon_intro zenon_H1ec ].
% 55.20/55.33 apply (zenon_L985_); trivial.
% 55.20/55.33 apply (zenon_L987_); trivial.
% 55.20/55.33 (* end of lemma zenon_L992_ *)
% 55.20/55.33 assert (zenon_L993_ : (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> ((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) -> ((e10) = (op1 (e11) (e11))) -> ((e12) = (op1 (op1 (op1 (e11) (e11)) (op1 (e11) (e11))) (op1 (e11) (e11)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((e10) = (e12))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e10)) = (e12))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e13) (e10)) = (e12))))) -> (~((op1 (e10) (e10)) = (e12))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> ((op1 (e11) (op1 (e11) (e13))) = (e13)) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> ((op2 (e23) (e22)) = (e21)) -> ((h2 (e13)) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((e23) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((h2 (e12)) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> ((e22) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> ((h2 (e11)) = (e21)) -> (~((h2 (op1 (e13) (e12))) = (op2 (h2 (e13)) (h2 (e12))))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> ((op1 (e11) (op1 (e11) (e10))) = (e10)) -> ((op1 (e11) (e10)) = (e11)) -> (~((op1 (e12) (e12)) = (e11))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (~((op1 (e10) (e10)) = (e10))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (~((op1 (e10) (e13)) = (e10))) -> False).
% 55.20/55.33 do 0 intro. intros zenon_H246 zenon_H19d zenon_H180 zenon_H15 zenon_H13 zenon_H155 zenon_H179 zenon_H172 zenon_H16c zenon_H186 zenon_H4c3 zenon_H4c4 zenon_H21a zenon_H1a0 zenon_H29e zenon_H1f4 zenon_H3d1 zenon_H461 zenon_H3b zenon_H44f zenon_H3f zenon_H270 zenon_H534 zenon_H18e zenon_H325 zenon_H1da zenon_H1de zenon_H292 zenon_H163 zenon_H23f zenon_H1cc zenon_H1d8 zenon_H2c9 zenon_H358 zenon_H154 zenon_H1fa zenon_H17 zenon_H1e zenon_H25 zenon_H14b zenon_H146 zenon_H4df zenon_H25f.
% 55.20/55.33 apply (zenon_or_s _ _ zenon_H246); [ zenon_intro zenon_H145 | zenon_intro zenon_H260 ].
% 55.20/55.33 exact (zenon_H146 zenon_H145).
% 55.20/55.33 apply (zenon_or_s _ _ zenon_H260); [ zenon_intro zenon_H166 | zenon_intro zenon_H261 ].
% 55.20/55.33 apply (zenon_L78_); trivial.
% 55.20/55.33 apply (zenon_or_s _ _ zenon_H261); [ zenon_intro zenon_H18f | zenon_intro zenon_H19b ].
% 55.20/55.33 apply (zenon_or_s _ _ zenon_H4df); [ zenon_intro zenon_H145 | zenon_intro zenon_H4e0 ].
% 55.20/55.33 exact (zenon_H146 zenon_H145).
% 55.20/55.33 apply (zenon_or_s _ _ zenon_H4e0); [ zenon_intro zenon_H14c | zenon_intro zenon_H4e1 ].
% 55.20/55.33 apply (zenon_L61_); trivial.
% 55.20/55.33 apply (zenon_or_s _ _ zenon_H4e1); [ zenon_intro zenon_H293 | zenon_intro zenon_H16a ].
% 55.20/55.33 apply (zenon_or_s _ _ zenon_H4c3); [ zenon_intro zenon_H4c6 | zenon_intro zenon_H4c8 ].
% 55.20/55.33 exact (zenon_H4c4 zenon_H4c6).
% 55.20/55.33 apply (zenon_or_s _ _ zenon_H4c8); [ zenon_intro zenon_H156 | zenon_intro zenon_H4c9 ].
% 55.20/55.33 apply (zenon_L63_); trivial.
% 55.20/55.33 apply (zenon_or_s _ _ zenon_H4c9); [ zenon_intro zenon_H21b | zenon_intro zenon_H16b ].
% 55.20/55.33 apply (zenon_L109_); trivial.
% 55.20/55.33 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_H1a3 | zenon_intro zenon_H1a2 ].
% 55.20/55.33 apply (zenon_L992_); trivial.
% 55.20/55.33 apply (zenon_or_s _ _ zenon_H1a2); [ zenon_intro zenon_H16 | zenon_intro zenon_H1a4 ].
% 55.20/55.33 apply (zenon_L2_); trivial.
% 55.20/55.33 apply (zenon_or_s _ _ zenon_H1a4); [ zenon_intro zenon_H1d | zenon_intro zenon_H24 ].
% 55.20/55.33 apply (zenon_L3_); trivial.
% 55.20/55.33 apply (zenon_L4_); trivial.
% 55.20/55.33 apply (zenon_L72_); trivial.
% 55.20/55.33 exact (zenon_H25f zenon_H19b).
% 55.20/55.33 (* end of lemma zenon_L993_ *)
% 55.20/55.33 assert (zenon_L994_ : (((op2 (e23) (e22)) = (e20))\/(((op2 (e23) (e22)) = (e21))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e22)) = (e23))))) -> ((op2 (e20) (e22)) = (e20)) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (~((op1 (e10) (e13)) = (e10))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (~((op1 (e10) (e10)) = (e10))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e12)) = (e11))) -> ((op1 (e11) (e10)) = (e11)) -> ((op1 (e11) (op1 (e11) (e10))) = (e10)) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((h2 (op1 (e13) (e12))) = (op2 (h2 (e13)) (h2 (e12))))) -> ((h2 (e11)) = (e21)) -> ((h2 (e12)) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> ((h2 (e13)) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e11) (op1 (e11) (e13))) = (e13)) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e10) (e10)) = (e12))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e10)) = (e12))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e13) (e10)) = (e12))))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((e10) = (e12))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> ((e12) = (op1 (op1 (op1 (e11) (e11)) (op1 (e11) (e11))) (op1 (e11) (e11)))) -> ((e10) = (op1 (e11) (e11))) -> ((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> ((e22) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> ((e23) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((op2 (e20) (e20)) = (e23)) -> ((op2 (e22) (e22)) = (e23)) -> ((e20) = (op2 (e21) (e21))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> False).
% 55.20/55.33 do 0 intro. intros zenon_H3f4 zenon_H57 zenon_H3cb zenon_H25f zenon_H4df zenon_H146 zenon_H14b zenon_H25 zenon_H1e zenon_H17 zenon_H1fa zenon_H154 zenon_H358 zenon_H2c9 zenon_H1d8 zenon_H1cc zenon_H23f zenon_H163 zenon_H292 zenon_H1de zenon_H1da zenon_H325 zenon_H18e zenon_H534 zenon_H270 zenon_H44f zenon_H461 zenon_H1f4 zenon_H29e zenon_H1a0 zenon_H21a zenon_H4c4 zenon_H4c3 zenon_H186 zenon_H16c zenon_H172 zenon_H179 zenon_H155 zenon_H13 zenon_H15 zenon_H180 zenon_H19d zenon_H246 zenon_H67 zenon_H3f zenon_H3b zenon_Ha8 zenon_Hf6 zenon_H33 zenon_Hfc.
% 55.20/55.33 apply (zenon_or_s _ _ zenon_H3f4); [ zenon_intro zenon_H81 | zenon_intro zenon_H3f5 ].
% 55.20/55.33 apply (zenon_L357_); trivial.
% 55.20/55.33 apply (zenon_or_s _ _ zenon_H3f5); [ zenon_intro zenon_H3d1 | zenon_intro zenon_H3f6 ].
% 55.20/55.33 apply (zenon_L993_); trivial.
% 55.20/55.33 apply (zenon_or_s _ _ zenon_H3f6); [ zenon_intro zenon_H66 | zenon_intro zenon_Hfb ].
% 55.20/55.33 apply (zenon_L16_); trivial.
% 55.20/55.33 apply (zenon_L50_); trivial.
% 55.20/55.33 (* end of lemma zenon_L994_ *)
% 55.20/55.33 assert (zenon_L995_ : ((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12)))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e20) (e21)) = (e23))\/(((op2 (e20) (e22)) = (e23))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e22)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> ((op2 (e22) (e20)) = (e20)) -> (~((op2 (e22) (e22)) = (e21))) -> (~((op2 (e22) (e22)) = (e22))) -> (((op2 (e23) (e22)) = (e20))\/(((op2 (e23) (e22)) = (e21))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e22)) = (e23))))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> ((e20) = (op2 (e21) (e21))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (~((e10) = (e12))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> ((e12) = (op1 (op1 (op1 (e11) (e11)) (op1 (e11) (e11))) (op1 (e11) (e11)))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((h2 (op1 (e13) (e12))) = (op2 (h2 (e13)) (h2 (e12))))) -> ((h2 (e11)) = (e21)) -> ((h2 (e13)) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((e23) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((h2 (e12)) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> ((e22) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e12)) = (e11))) -> ((op1 (e11) (e10)) = (e11)) -> ((op1 (e11) (op1 (e11) (e10))) = (e10)) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> ((op1 (e11) (op1 (e11) (e13))) = (e13)) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e10)) = (e12))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e13) (e10)) = (e12))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> ((op2 (e20) (e22)) = (e20)) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e22) (e22)) = (e20))\/(((op2 (e22) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e22)) = (e23))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> ((e10) = (op1 (e11) (e11))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (~((op1 (e10) (e10)) = (e10))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> ((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> ((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))) -> False).
% 55.20/55.33 do 0 intro. intros zenon_H25e zenon_Ha5 zenon_H9f zenon_H98 zenon_H93 zenon_H37d zenon_H121 zenon_H101 zenon_Hd7 zenon_H3f4 zenon_Hfc zenon_H33 zenon_H67 zenon_H4df zenon_H16c zenon_H172 zenon_H180 zenon_H186 zenon_H154 zenon_H155 zenon_H21a zenon_H2c9 zenon_H18e zenon_H534 zenon_H270 zenon_H461 zenon_H3b zenon_H44f zenon_H3f zenon_H179 zenon_H1d8 zenon_H325 zenon_H358 zenon_H1da zenon_H1cc zenon_H23f zenon_H163 zenon_H292 zenon_H1de zenon_H29e zenon_H1f4 zenon_H1fa zenon_H4c3 zenon_H14b zenon_H57 zenon_H3cb zenon_H100 zenon_H246 zenon_H13 zenon_H19d zenon_H146 zenon_H1a0 zenon_H25 zenon_H1e zenon_H15 zenon_H17 zenon_H25d.
% 55.20/55.33 apply (zenon_or_s _ _ zenon_H25e); [ zenon_intro zenon_H458 | zenon_intro zenon_H4c4 ].
% 55.20/55.33 apply (zenon_L629_); trivial.
% 55.20/55.33 apply (zenon_or_s _ _ zenon_H25d); [ zenon_intro zenon_H25f | zenon_intro zenon_H1a1 ].
% 55.20/55.33 apply (zenon_or_s _ _ zenon_Ha5); [ zenon_intro zenon_Ha8 | zenon_intro zenon_Ha7 ].
% 55.20/55.33 apply (zenon_or_s _ _ zenon_H100); [ zenon_intro zenon_H88 | zenon_intro zenon_H102 ].
% 55.20/55.33 apply (zenon_L309_); trivial.
% 55.20/55.33 apply (zenon_or_s _ _ zenon_H102); [ zenon_intro zenon_H104 | zenon_intro zenon_H103 ].
% 55.20/55.33 exact (zenon_H101 zenon_H104).
% 55.20/55.33 apply (zenon_or_s _ _ zenon_H103); [ zenon_intro zenon_Hd6 | zenon_intro zenon_Hf6 ].
% 55.20/55.33 exact (zenon_Hd7 zenon_Hd6).
% 55.20/55.33 apply (zenon_L994_); trivial.
% 55.20/55.33 apply (zenon_or_s _ _ zenon_Ha7); [ zenon_intro zenon_H92 | zenon_intro zenon_Ha9 ].
% 55.20/55.33 apply (zenon_L25_); trivial.
% 55.20/55.33 apply (zenon_or_s _ _ zenon_Ha9); [ zenon_intro zenon_H97 | zenon_intro zenon_H9e ].
% 55.20/55.33 apply (zenon_L26_); trivial.
% 55.20/55.33 apply (zenon_L27_); trivial.
% 55.20/55.33 apply (zenon_L79_); trivial.
% 55.20/55.33 (* end of lemma zenon_L995_ *)
% 55.20/55.33 assert (zenon_L996_ : (((op1 (e11) (e10)) = (e11))/\(((op1 (e10) (e11)) = (e11))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11))))/\(((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12))))/\((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13))))))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> ((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> ((e10) = (op1 (e11) (e11))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (((op2 (e22) (e22)) = (e20))\/(((op2 (e22) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e22)) = (e23))))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> ((op2 (e20) (e22)) = (e20)) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e10)) = (e12))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e13) (e10)) = (e12))))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e11) (op1 (e11) (e13))) = (e13)) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> ((op1 (e11) (op1 (e11) (e10))) = (e10)) -> (~((op1 (e12) (e12)) = (e11))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> ((e22) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> ((h2 (e12)) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> ((e23) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((h2 (e13)) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((h2 (e11)) = (e21)) -> (~((h2 (op1 (e13) (e12))) = (op2 (h2 (e13)) (h2 (e12))))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> ((e12) = (op1 (op1 (op1 (e11) (e11)) (op1 (e11) (e11))) (op1 (e11) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((e10) = (e12))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> ((e20) = (op2 (e21) (e21))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e23) (e22)) = (e20))\/(((op2 (e23) (e22)) = (e21))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e22)) = (e23))))) -> (~((op2 (e22) (e22)) = (e22))) -> (~((op2 (e22) (e22)) = (e21))) -> ((op2 (e22) (e20)) = (e20)) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e22)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e20) (e21)) = (e23))\/(((op2 (e20) (e22)) = (e23))\/((op2 (e20) (e23)) = (e23))))) -> False).
% 55.20/55.33 do 0 intro. intros zenon_H259 zenon_H17 zenon_H15 zenon_H1e zenon_H25 zenon_H1a0 zenon_H19d zenon_H13 zenon_H246 zenon_H100 zenon_H3cb zenon_H57 zenon_H14b zenon_H4c3 zenon_H1fa zenon_H1f4 zenon_H29e zenon_H1de zenon_H292 zenon_H23f zenon_H1cc zenon_H1da zenon_H358 zenon_H325 zenon_H1d8 zenon_H179 zenon_H3f zenon_H44f zenon_H3b zenon_H461 zenon_H270 zenon_H534 zenon_H18e zenon_H2c9 zenon_H21a zenon_H155 zenon_H154 zenon_H186 zenon_H180 zenon_H172 zenon_H16c zenon_H4df zenon_H67 zenon_H33 zenon_Hfc zenon_H3f4 zenon_Hd7 zenon_H101 zenon_H121 zenon_H37d zenon_H93 zenon_H98 zenon_H9f zenon_Ha5.
% 55.20/55.33 apply (zenon_and_s _ _ zenon_H259). zenon_intro zenon_H163. zenon_intro zenon_H25a.
% 55.20/55.33 apply (zenon_and_s _ _ zenon_H25a). zenon_intro zenon_H1fe. zenon_intro zenon_H149.
% 55.20/55.33 apply (zenon_and_s _ _ zenon_H149). zenon_intro zenon_H144. zenon_intro zenon_H14a.
% 55.20/55.33 apply (zenon_and_s _ _ zenon_H14a). zenon_intro zenon_H25c. zenon_intro zenon_H25b.
% 55.20/55.33 apply (zenon_and_s _ _ zenon_H25b). zenon_intro zenon_H25e. zenon_intro zenon_H25d.
% 55.20/55.33 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_H146 | zenon_intro zenon_H146 ].
% 55.20/55.33 apply (zenon_L995_); trivial.
% 55.20/55.33 apply (zenon_L995_); trivial.
% 55.20/55.33 (* end of lemma zenon_L996_ *)
% 55.20/55.33 assert (zenon_L997_ : ((((op1 (e10) (e10)) = (e10))/\(((op1 (e10) (e10)) = (e10))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11))))/\(((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12))))/\((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))))))))\/((((op1 (e10) (e11)) = (e10))/\(((op1 (e11) (e10)) = (e10))/\(((~((op1 (e11) (e10)) = (e11)))\/(~((op1 (e11) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e11) (e12)) = (e11)))\/(~((op1 (e11) (e11)) = (e12))))/\((~((op1 (e11) (e13)) = (e11)))\/(~((op1 (e11) (e11)) = (e13)))))))))\/((((op1 (e10) (e12)) = (e10))/\(((op1 (e12) (e10)) = (e10))/\(((~((op1 (e12) (e10)) = (e12)))\/(~((op1 (e12) (e12)) = (e10))))/\(((~((op1 (e12) (e11)) = (e12)))\/(~((op1 (e12) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13)))))))))\/((((op1 (e10) (e13)) = (e10))/\(((op1 (e13) (e10)) = (e10))/\(((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e13) (e13)) = (e10))))/\(((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11))))/\(((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e13) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13)))))))))\/((((op1 (e11) (e10)) = (e11))/\(((op1 (e10) (e11)) = (e11))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11))))/\(((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12))))/\((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))))))))\/((((op1 (e11) (e11)) = (e11))/\(((op1 (e11) (e11)) = (e11))/\(((~((op1 (e11) (e10)) = (e11)))\/(~((op1 (e11) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e11) (e12)) = (e11)))\/(~((op1 (e11) (e11)) = (e12))))/\((~((op1 (e11) (e13)) = (e11)))\/(~((op1 (e11) (e11)) = (e13)))))))))\/((((op1 (e11) (e12)) = (e11))/\(((op1 (e12) (e11)) = (e11))/\(((~((op1 (e12) (e10)) = (e12)))\/(~((op1 (e12) (e12)) = (e10))))/\(((~((op1 (e12) (e11)) = (e12)))\/(~((op1 (e12) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13)))))))))\/((((op1 (e11) (e13)) = (e11))/\(((op1 (e13) (e11)) = (e11))/\(((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e13) (e13)) = (e10))))/\(((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11))))/\(((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e13) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13)))))))))\/((((op1 (e12) (e10)) = (e12))/\(((op1 (e10) (e12)) = (e12))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11))))/\(((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12))))/\((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))))))))\/((((op1 (e12) (e11)) = (e12))/\(((op1 (e11) (e12)) = (e12))/\(((~((op1 (e11) (e10)) = (e11)))\/(~((op1 (e11) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e11) (e12)) = (e11)))\/(~((op1 (e11) (e11)) = (e12))))/\((~((op1 (e11) (e13)) = (e11)))\/(~((op1 (e11) (e11)) = (e13)))))))))\/((((op1 (e12) (e12)) = (e12))/\(((op1 (e12) (e12)) = (e12))/\(((~((op1 (e12) (e10)) = (e12)))\/(~((op1 (e12) (e12)) = (e10))))/\(((~((op1 (e12) (e11)) = (e12)))\/(~((op1 (e12) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13)))))))))\/((((op1 (e12) (e13)) = (e12))/\(((op1 (e13) (e12)) = (e12))/\(((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e13) (e13)) = (e10))))/\(((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11))))/\(((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e13) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13)))))))))\/((((op1 (e13) (e10)) = (e13))/\(((op1 (e10) (e13)) = (e13))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11))))/\(((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12))))/\((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))))))))\/((((op1 (e13) (e11)) = (e13))/\(((op1 (e11) (e13)) = (e13))/\(((~((op1 (e11) (e10)) = (e11)))\/(~((op1 (e11) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e11) (e12)) = (e11)))\/(~((op1 (e11) (e11)) = (e12))))/\((~((op1 (e11) (e13)) = (e11)))\/(~((op1 (e11) (e11)) = (e13)))))))))\/((((op1 (e13) (e12)) = (e13))/\(((op1 (e12) (e13)) = (e13))/\(((~((op1 (e12) (e10)) = (e12)))\/(~((op1 (e12) (e12)) = (e10))))/\(((~((op1 (e12) (e11)) = (e12)))\/(~((op1 (e12) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13)))))))))\/(((op1 (e13) (e13)) = (e13))/\(((op1 (e13) (e13)) = (e13))/\(((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e13) (e13)) = (e10))))/\(((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11))))/\(((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e13) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13)))))))))))))))))))))))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e20) (e21)) = (e23))\/(((op2 (e20) (e22)) = (e23))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e22)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> ((op2 (e22) (e20)) = (e20)) -> (~((op2 (e22) (e22)) = (e21))) -> (~((op2 (e22) (e22)) = (e22))) -> (((op2 (e23) (e22)) = (e20))\/(((op2 (e23) (e22)) = (e21))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e22)) = (e23))))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> ((e20) = (op2 (e21) (e21))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (~((e10) = (e12))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((h2 (op1 (e13) (e12))) = (op2 (h2 (e13)) (h2 (e12))))) -> ((h2 (e11)) = (e21)) -> ((h2 (e13)) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((e23) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((h2 (e12)) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> ((e22) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e12)) = (e11))) -> ((op1 (e11) (op1 (e11) (e10))) = (e10)) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e10)) = (e12))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e13) (e10)) = (e12))))) -> ((op2 (e20) (e22)) = (e20)) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e22) (e22)) = (e20))\/(((op2 (e22) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e22)) = (e23))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> ((op1 (e13) (e11)) = (e13)) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e12))\/((op1 (e11) (e10)) = (e13))))) -> ((e12) = (op1 (op1 (op1 (e11) (e11)) (op1 (e11) (e11))) (op1 (e11) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> ((op1 (e11) (op1 (e11) (e13))) = (e13)) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> ((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) -> ((e10) = (op1 (e11) (e11))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> False).
% 55.20/55.33 do 0 intro. intros zenon_H245 zenon_Ha5 zenon_H9f zenon_H98 zenon_H93 zenon_H37d zenon_H121 zenon_H101 zenon_Hd7 zenon_H3f4 zenon_Hfc zenon_H33 zenon_H67 zenon_H4df zenon_H16c zenon_H172 zenon_H180 zenon_H186 zenon_H2c9 zenon_H18e zenon_H534 zenon_H270 zenon_H461 zenon_H3b zenon_H44f zenon_H3f zenon_H1d8 zenon_H325 zenon_H358 zenon_H1da zenon_H1cc zenon_H23f zenon_H292 zenon_H1de zenon_H1fa zenon_H4c3 zenon_H57 zenon_H3cb zenon_H100 zenon_H246 zenon_H19d zenon_H1a0 zenon_H1e zenon_H17 zenon_H1a9 zenon_H1c3 zenon_H18a zenon_H21a zenon_H179 zenon_H25 zenon_H15f zenon_H155 zenon_H154 zenon_H14b zenon_H29e zenon_H2c0 zenon_H1f4 zenon_H15 zenon_H13 zenon_H2b9 zenon_H15a zenon_H2c2.
% 55.20/55.33 apply (zenon_or_s _ _ zenon_H245); [ zenon_intro zenon_H147 | zenon_intro zenon_H254 ].
% 55.20/55.33 apply (zenon_L60_); trivial.
% 55.20/55.33 apply (zenon_or_s _ _ zenon_H254); [ zenon_intro zenon_H164 | zenon_intro zenon_H255 ].
% 55.20/55.33 apply (zenon_L66_); trivial.
% 55.20/55.33 apply (zenon_or_s _ _ zenon_H255); [ zenon_intro zenon_H197 | zenon_intro zenon_H256 ].
% 55.20/55.33 apply (zenon_L991_); trivial.
% 55.20/55.33 apply (zenon_or_s _ _ zenon_H256); [ zenon_intro zenon_H199 | zenon_intro zenon_H257 ].
% 55.20/55.33 apply (zenon_L77_); trivial.
% 55.20/55.33 apply (zenon_or_s _ _ zenon_H257); [ zenon_intro zenon_H259 | zenon_intro zenon_H258 ].
% 55.20/55.33 apply (zenon_L996_); trivial.
% 55.20/55.33 apply (zenon_or_s _ _ zenon_H258); [ zenon_intro zenon_H1a5 | zenon_intro zenon_H262 ].
% 55.20/55.33 apply (zenon_L80_); trivial.
% 55.20/55.33 apply (zenon_or_s _ _ zenon_H262); [ zenon_intro zenon_H1ae | zenon_intro zenon_H263 ].
% 55.20/55.33 apply (zenon_L83_); trivial.
% 55.20/55.33 apply (zenon_or_s _ _ zenon_H263); [ zenon_intro zenon_H212 | zenon_intro zenon_H264 ].
% 55.20/55.33 apply (zenon_L167_); trivial.
% 55.20/55.33 apply (zenon_or_s _ _ zenon_H264); [ zenon_intro zenon_H220 | zenon_intro zenon_H265 ].
% 55.20/55.33 apply (zenon_L110_); trivial.
% 55.20/55.33 apply (zenon_or_s _ _ zenon_H265); [ zenon_intro zenon_H222 | zenon_intro zenon_H266 ].
% 55.20/55.33 apply (zenon_L111_); trivial.
% 55.20/55.33 apply (zenon_or_s _ _ zenon_H266); [ zenon_intro zenon_H225 | zenon_intro zenon_H267 ].
% 55.20/55.33 apply (zenon_L113_); trivial.
% 55.20/55.33 apply (zenon_or_s _ _ zenon_H267); [ zenon_intro zenon_H22d | zenon_intro zenon_H268 ].
% 55.20/55.33 apply (zenon_L114_); trivial.
% 55.20/55.33 apply (zenon_or_s _ _ zenon_H268); [ zenon_intro zenon_H230 | zenon_intro zenon_H269 ].
% 55.20/55.33 apply (zenon_L115_); trivial.
% 55.20/55.33 apply (zenon_or_s _ _ zenon_H269); [ zenon_intro zenon_H232 | zenon_intro zenon_H26a ].
% 55.20/55.33 apply (zenon_L116_); trivial.
% 55.20/55.33 apply (zenon_or_s _ _ zenon_H26a); [ zenon_intro zenon_H240 | zenon_intro zenon_H242 ].
% 55.20/55.33 apply (zenon_L166_); trivial.
% 55.20/55.33 apply (zenon_L125_); trivial.
% 55.20/55.33 (* end of lemma zenon_L997_ *)
% 55.20/55.33 assert (zenon_L998_ : (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e13) (e10)) = (e13))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> ((op1 (e11) (op1 (e11) (e13))) = (e13)) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> ((e12) = (op1 (op1 (op1 (e11) (e11)) (op1 (e11) (e11))) (op1 (e11) (e11)))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e12))\/((op1 (e11) (e10)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (((op2 (e22) (e22)) = (e20))\/(((op2 (e22) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e22)) = (e23))))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> ((op2 (e20) (e22)) = (e20)) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e10)) = (e12))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e13) (e10)) = (e12))))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> ((op1 (e11) (op1 (e11) (e10))) = (e10)) -> (~((op1 (e12) (e12)) = (e11))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> ((e22) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> ((h2 (e12)) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> ((e23) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((h2 (e13)) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((h2 (e11)) = (e21)) -> (~((h2 (op1 (e13) (e12))) = (op2 (h2 (e13)) (h2 (e12))))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((e10) = (e12))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> ((e20) = (op2 (e21) (e21))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e23) (e22)) = (e20))\/(((op2 (e23) (e22)) = (e21))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e22)) = (e23))))) -> (~((op2 (e22) (e22)) = (e22))) -> (~((op2 (e22) (e22)) = (e21))) -> ((op2 (e22) (e20)) = (e20)) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e22)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e20) (e21)) = (e23))\/(((op2 (e20) (e22)) = (e23))\/((op2 (e20) (e23)) = (e23))))) -> ((((op1 (e10) (e10)) = (e10))/\(((op1 (e10) (e10)) = (e10))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11))))/\(((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12))))/\((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))))))))\/((((op1 (e10) (e11)) = (e10))/\(((op1 (e11) (e10)) = (e10))/\(((~((op1 (e11) (e10)) = (e11)))\/(~((op1 (e11) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e11) (e12)) = (e11)))\/(~((op1 (e11) (e11)) = (e12))))/\((~((op1 (e11) (e13)) = (e11)))\/(~((op1 (e11) (e11)) = (e13)))))))))\/((((op1 (e10) (e12)) = (e10))/\(((op1 (e12) (e10)) = (e10))/\(((~((op1 (e12) (e10)) = (e12)))\/(~((op1 (e12) (e12)) = (e10))))/\(((~((op1 (e12) (e11)) = (e12)))\/(~((op1 (e12) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13)))))))))\/((((op1 (e10) (e13)) = (e10))/\(((op1 (e13) (e10)) = (e10))/\(((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e13) (e13)) = (e10))))/\(((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11))))/\(((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e13) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13)))))))))\/((((op1 (e11) (e10)) = (e11))/\(((op1 (e10) (e11)) = (e11))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11))))/\(((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12))))/\((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))))))))\/((((op1 (e11) (e11)) = (e11))/\(((op1 (e11) (e11)) = (e11))/\(((~((op1 (e11) (e10)) = (e11)))\/(~((op1 (e11) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e11) (e12)) = (e11)))\/(~((op1 (e11) (e11)) = (e12))))/\((~((op1 (e11) (e13)) = (e11)))\/(~((op1 (e11) (e11)) = (e13)))))))))\/((((op1 (e11) (e12)) = (e11))/\(((op1 (e12) (e11)) = (e11))/\(((~((op1 (e12) (e10)) = (e12)))\/(~((op1 (e12) (e12)) = (e10))))/\(((~((op1 (e12) (e11)) = (e12)))\/(~((op1 (e12) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13)))))))))\/((((op1 (e11) (e13)) = (e11))/\(((op1 (e13) (e11)) = (e11))/\(((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e13) (e13)) = (e10))))/\(((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11))))/\(((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e13) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13)))))))))\/((((op1 (e12) (e10)) = (e12))/\(((op1 (e10) (e12)) = (e12))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11))))/\(((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12))))/\((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))))))))\/((((op1 (e12) (e11)) = (e12))/\(((op1 (e11) (e12)) = (e12))/\(((~((op1 (e11) (e10)) = (e11)))\/(~((op1 (e11) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e11) (e12)) = (e11)))\/(~((op1 (e11) (e11)) = (e12))))/\((~((op1 (e11) (e13)) = (e11)))\/(~((op1 (e11) (e11)) = (e13)))))))))\/((((op1 (e12) (e12)) = (e12))/\(((op1 (e12) (e12)) = (e12))/\(((~((op1 (e12) (e10)) = (e12)))\/(~((op1 (e12) (e12)) = (e10))))/\(((~((op1 (e12) (e11)) = (e12)))\/(~((op1 (e12) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13)))))))))\/((((op1 (e12) (e13)) = (e12))/\(((op1 (e13) (e12)) = (e12))/\(((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e13) (e13)) = (e10))))/\(((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11))))/\(((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e13) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13)))))))))\/((((op1 (e13) (e10)) = (e13))/\(((op1 (e10) (e13)) = (e13))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11))))/\(((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12))))/\((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))))))))\/((((op1 (e13) (e11)) = (e13))/\(((op1 (e11) (e13)) = (e13))/\(((~((op1 (e11) (e10)) = (e11)))\/(~((op1 (e11) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e11) (e12)) = (e11)))\/(~((op1 (e11) (e11)) = (e12))))/\((~((op1 (e11) (e13)) = (e11)))\/(~((op1 (e11) (e11)) = (e13)))))))))\/((((op1 (e13) (e12)) = (e13))/\(((op1 (e12) (e13)) = (e13))/\(((~((op1 (e12) (e10)) = (e12)))\/(~((op1 (e12) (e12)) = (e10))))/\(((~((op1 (e12) (e11)) = (e12)))\/(~((op1 (e12) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13)))))))))\/(((op1 (e13) (e13)) = (e13))/\(((op1 (e13) (e13)) = (e13))/\(((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e13) (e13)) = (e10))))/\(((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11))))/\(((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e13) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13)))))))))))))))))))))))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> ((e10) = (op1 (e11) (e11))) -> ((op1 (e11) (e11)) = (e12)) -> ((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) -> (~((op1 (e13) (e13)) = (e13))) -> False).
% 55.20/55.33 do 0 intro. intros zenon_H1be zenon_H1b6 zenon_H2c2 zenon_H15a zenon_H2b9 zenon_H1f4 zenon_H2c0 zenon_H29e zenon_H14b zenon_H154 zenon_H155 zenon_H15f zenon_H25 zenon_H179 zenon_H21a zenon_H18a zenon_H1a9 zenon_H17 zenon_H1e zenon_H1a0 zenon_H19d zenon_H246 zenon_H100 zenon_H3cb zenon_H57 zenon_H4c3 zenon_H1fa zenon_H1de zenon_H292 zenon_H23f zenon_H1cc zenon_H1da zenon_H358 zenon_H325 zenon_H1d8 zenon_H3f zenon_H44f zenon_H3b zenon_H461 zenon_H270 zenon_H534 zenon_H2c9 zenon_H186 zenon_H180 zenon_H172 zenon_H16c zenon_H4df zenon_H67 zenon_H33 zenon_Hfc zenon_H3f4 zenon_Hd7 zenon_H101 zenon_H121 zenon_H37d zenon_H93 zenon_H98 zenon_H9f zenon_Ha5 zenon_H245 zenon_H18e zenon_H13 zenon_H1b8 zenon_H15 zenon_H1c0.
% 55.20/55.33 apply (zenon_or_s _ _ zenon_H1be); [ zenon_intro zenon_H1b0 | zenon_intro zenon_H1c1 ].
% 55.20/55.33 exact (zenon_H1b6 zenon_H1b0).
% 55.20/55.33 apply (zenon_or_s _ _ zenon_H1c1); [ zenon_intro zenon_H1c3 | zenon_intro zenon_H1c2 ].
% 55.20/55.33 apply (zenon_L997_); trivial.
% 55.20/55.33 apply (zenon_or_s _ _ zenon_H1c2); [ zenon_intro zenon_H1ba | zenon_intro zenon_H1c4 ].
% 55.20/55.33 apply (zenon_L86_); trivial.
% 55.20/55.33 exact (zenon_H1c0 zenon_H1c4).
% 55.20/55.33 (* end of lemma zenon_L998_ *)
% 55.20/55.33 assert (zenon_L999_ : (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e13) (e13)) = (e13))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> ((((op1 (e10) (e10)) = (e10))/\(((op1 (e10) (e10)) = (e10))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11))))/\(((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12))))/\((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))))))))\/((((op1 (e10) (e11)) = (e10))/\(((op1 (e11) (e10)) = (e10))/\(((~((op1 (e11) (e10)) = (e11)))\/(~((op1 (e11) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e11) (e12)) = (e11)))\/(~((op1 (e11) (e11)) = (e12))))/\((~((op1 (e11) (e13)) = (e11)))\/(~((op1 (e11) (e11)) = (e13)))))))))\/((((op1 (e10) (e12)) = (e10))/\(((op1 (e12) (e10)) = (e10))/\(((~((op1 (e12) (e10)) = (e12)))\/(~((op1 (e12) (e12)) = (e10))))/\(((~((op1 (e12) (e11)) = (e12)))\/(~((op1 (e12) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13)))))))))\/((((op1 (e10) (e13)) = (e10))/\(((op1 (e13) (e10)) = (e10))/\(((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e13) (e13)) = (e10))))/\(((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11))))/\(((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e13) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13)))))))))\/((((op1 (e11) (e10)) = (e11))/\(((op1 (e10) (e11)) = (e11))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11))))/\(((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12))))/\((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))))))))\/((((op1 (e11) (e11)) = (e11))/\(((op1 (e11) (e11)) = (e11))/\(((~((op1 (e11) (e10)) = (e11)))\/(~((op1 (e11) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e11) (e12)) = (e11)))\/(~((op1 (e11) (e11)) = (e12))))/\((~((op1 (e11) (e13)) = (e11)))\/(~((op1 (e11) (e11)) = (e13)))))))))\/((((op1 (e11) (e12)) = (e11))/\(((op1 (e12) (e11)) = (e11))/\(((~((op1 (e12) (e10)) = (e12)))\/(~((op1 (e12) (e12)) = (e10))))/\(((~((op1 (e12) (e11)) = (e12)))\/(~((op1 (e12) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13)))))))))\/((((op1 (e11) (e13)) = (e11))/\(((op1 (e13) (e11)) = (e11))/\(((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e13) (e13)) = (e10))))/\(((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11))))/\(((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e13) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13)))))))))\/((((op1 (e12) (e10)) = (e12))/\(((op1 (e10) (e12)) = (e12))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11))))/\(((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12))))/\((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))))))))\/((((op1 (e12) (e11)) = (e12))/\(((op1 (e11) (e12)) = (e12))/\(((~((op1 (e11) (e10)) = (e11)))\/(~((op1 (e11) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e11) (e12)) = (e11)))\/(~((op1 (e11) (e11)) = (e12))))/\((~((op1 (e11) (e13)) = (e11)))\/(~((op1 (e11) (e11)) = (e13)))))))))\/((((op1 (e12) (e12)) = (e12))/\(((op1 (e12) (e12)) = (e12))/\(((~((op1 (e12) (e10)) = (e12)))\/(~((op1 (e12) (e12)) = (e10))))/\(((~((op1 (e12) (e11)) = (e12)))\/(~((op1 (e12) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13)))))))))\/((((op1 (e12) (e13)) = (e12))/\(((op1 (e13) (e12)) = (e12))/\(((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e13) (e13)) = (e10))))/\(((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11))))/\(((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e13) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13)))))))))\/((((op1 (e13) (e10)) = (e13))/\(((op1 (e10) (e13)) = (e13))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11))))/\(((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12))))/\((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))))))))\/((((op1 (e13) (e11)) = (e13))/\(((op1 (e11) (e13)) = (e13))/\(((~((op1 (e11) (e10)) = (e11)))\/(~((op1 (e11) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e11) (e12)) = (e11)))\/(~((op1 (e11) (e11)) = (e12))))/\((~((op1 (e11) (e13)) = (e11)))\/(~((op1 (e11) (e11)) = (e13)))))))))\/((((op1 (e13) (e12)) = (e13))/\(((op1 (e12) (e13)) = (e13))/\(((~((op1 (e12) (e10)) = (e12)))\/(~((op1 (e12) (e12)) = (e10))))/\(((~((op1 (e12) (e11)) = (e12)))\/(~((op1 (e12) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13)))))))))\/(((op1 (e13) (e13)) = (e13))/\(((op1 (e13) (e13)) = (e13))/\(((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e13) (e13)) = (e10))))/\(((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11))))/\(((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e13) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13)))))))))))))))))))))))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e20) (e21)) = (e23))\/(((op2 (e20) (e22)) = (e23))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e22)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> ((op2 (e22) (e20)) = (e20)) -> (~((op2 (e22) (e22)) = (e21))) -> (~((op2 (e22) (e22)) = (e22))) -> (((op2 (e23) (e22)) = (e20))\/(((op2 (e23) (e22)) = (e21))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e22)) = (e23))))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> ((e20) = (op2 (e21) (e21))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (~((e10) = (e12))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((h2 (op1 (e13) (e12))) = (op2 (h2 (e13)) (h2 (e12))))) -> ((h2 (e11)) = (e21)) -> ((h2 (e13)) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((e23) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((h2 (e12)) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> ((e22) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e12)) = (e11))) -> ((op1 (e11) (op1 (e11) (e10))) = (e10)) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e10)) = (e12))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e13) (e10)) = (e12))))) -> ((op2 (e20) (e22)) = (e20)) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e22) (e22)) = (e20))\/(((op2 (e22) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e22)) = (e23))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e12))\/((op1 (e11) (e10)) = (e13))))) -> ((e12) = (op1 (op1 (op1 (e11) (e11)) (op1 (e11) (e11))) (op1 (e11) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> ((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) -> ((e10) = (op1 (e11) (e11))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e13) (e10)) = (e13))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> ((op1 (e11) (op1 (e11) (e13))) = (e13)) -> ((op1 (e11) (e13)) = (e12)) -> False).
% 55.20/55.33 do 0 intro. intros zenon_H30e zenon_H32b zenon_H1c0 zenon_H1f4 zenon_H245 zenon_Ha5 zenon_H9f zenon_H98 zenon_H93 zenon_H37d zenon_H121 zenon_H101 zenon_Hd7 zenon_H3f4 zenon_Hfc zenon_H33 zenon_H67 zenon_H4df zenon_H16c zenon_H172 zenon_H180 zenon_H186 zenon_H2c9 zenon_H18e zenon_H534 zenon_H270 zenon_H461 zenon_H3b zenon_H44f zenon_H3f zenon_H1d8 zenon_H325 zenon_H358 zenon_H1da zenon_H1cc zenon_H23f zenon_H292 zenon_H1de zenon_H1fa zenon_H4c3 zenon_H57 zenon_H3cb zenon_H100 zenon_H246 zenon_H19d zenon_H1a0 zenon_H1e zenon_H17 zenon_H1a9 zenon_H18a zenon_H21a zenon_H179 zenon_H25 zenon_H15f zenon_H155 zenon_H154 zenon_H14b zenon_H2c0 zenon_H15 zenon_H13 zenon_H2b9 zenon_H15a zenon_H2c2 zenon_H1b6 zenon_H1be zenon_H1ed zenon_H29e zenon_H1ec.
% 55.20/55.33 apply (zenon_or_s _ _ zenon_H2c2); [ zenon_intro zenon_H159 | zenon_intro zenon_H2c3 ].
% 55.20/55.33 apply (zenon_L64_); trivial.
% 55.20/55.33 apply (zenon_or_s _ _ zenon_H2c3); [ zenon_intro zenon_H2b7 | zenon_intro zenon_H2c4 ].
% 55.20/55.33 apply (zenon_L229_); trivial.
% 55.20/55.33 apply (zenon_or_s _ _ zenon_H2c4); [ zenon_intro zenon_H1f3 | zenon_intro zenon_H234 ].
% 55.20/55.33 apply (zenon_or_s _ _ zenon_H1be); [ zenon_intro zenon_H1b0 | zenon_intro zenon_H1c1 ].
% 55.20/55.33 exact (zenon_H1b6 zenon_H1b0).
% 55.20/55.33 apply (zenon_or_s _ _ zenon_H1c1); [ zenon_intro zenon_H1c3 | zenon_intro zenon_H1c2 ].
% 55.20/55.33 apply (zenon_L997_); trivial.
% 55.20/55.33 apply (zenon_or_s _ _ zenon_H1c2); [ zenon_intro zenon_H1ba | zenon_intro zenon_H1c4 ].
% 55.20/55.33 apply (zenon_L96_); trivial.
% 55.20/55.33 exact (zenon_H1c0 zenon_H1c4).
% 55.20/55.33 apply (zenon_L865_); trivial.
% 55.20/55.33 (* end of lemma zenon_L999_ *)
% 55.20/55.33 assert (zenon_L1000_ : ((op1 (e11) (op1 (e11) (e13))) = (e13)) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e13) (e10)) = (e13))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> ((e12) = (op1 (op1 (op1 (e11) (e11)) (op1 (e11) (e11))) (op1 (e11) (e11)))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e12))\/((op1 (e11) (e10)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (((op2 (e22) (e22)) = (e20))\/(((op2 (e22) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e22)) = (e23))))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> ((op2 (e20) (e22)) = (e20)) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e10)) = (e12))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e13) (e10)) = (e12))))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> ((op1 (e11) (op1 (e11) (e10))) = (e10)) -> (~((op1 (e12) (e12)) = (e11))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> ((e22) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> ((h2 (e12)) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> ((e23) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((h2 (e13)) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((h2 (e11)) = (e21)) -> (~((h2 (op1 (e13) (e12))) = (op2 (h2 (e13)) (h2 (e12))))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((e10) = (e12))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> ((e20) = (op2 (e21) (e21))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e23) (e22)) = (e20))\/(((op2 (e23) (e22)) = (e21))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e22)) = (e23))))) -> (~((op2 (e22) (e22)) = (e22))) -> (~((op2 (e22) (e22)) = (e21))) -> ((op2 (e22) (e20)) = (e20)) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e22)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e20) (e21)) = (e23))\/(((op2 (e20) (e22)) = (e23))\/((op2 (e20) (e23)) = (e23))))) -> ((((op1 (e10) (e10)) = (e10))/\(((op1 (e10) (e10)) = (e10))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11))))/\(((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12))))/\((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))))))))\/((((op1 (e10) (e11)) = (e10))/\(((op1 (e11) (e10)) = (e10))/\(((~((op1 (e11) (e10)) = (e11)))\/(~((op1 (e11) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e11) (e12)) = (e11)))\/(~((op1 (e11) (e11)) = (e12))))/\((~((op1 (e11) (e13)) = (e11)))\/(~((op1 (e11) (e11)) = (e13)))))))))\/((((op1 (e10) (e12)) = (e10))/\(((op1 (e12) (e10)) = (e10))/\(((~((op1 (e12) (e10)) = (e12)))\/(~((op1 (e12) (e12)) = (e10))))/\(((~((op1 (e12) (e11)) = (e12)))\/(~((op1 (e12) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13)))))))))\/((((op1 (e10) (e13)) = (e10))/\(((op1 (e13) (e10)) = (e10))/\(((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e13) (e13)) = (e10))))/\(((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11))))/\(((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e13) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13)))))))))\/((((op1 (e11) (e10)) = (e11))/\(((op1 (e10) (e11)) = (e11))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11))))/\(((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12))))/\((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))))))))\/((((op1 (e11) (e11)) = (e11))/\(((op1 (e11) (e11)) = (e11))/\(((~((op1 (e11) (e10)) = (e11)))\/(~((op1 (e11) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e11) (e12)) = (e11)))\/(~((op1 (e11) (e11)) = (e12))))/\((~((op1 (e11) (e13)) = (e11)))\/(~((op1 (e11) (e11)) = (e13)))))))))\/((((op1 (e11) (e12)) = (e11))/\(((op1 (e12) (e11)) = (e11))/\(((~((op1 (e12) (e10)) = (e12)))\/(~((op1 (e12) (e12)) = (e10))))/\(((~((op1 (e12) (e11)) = (e12)))\/(~((op1 (e12) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13)))))))))\/((((op1 (e11) (e13)) = (e11))/\(((op1 (e13) (e11)) = (e11))/\(((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e13) (e13)) = (e10))))/\(((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11))))/\(((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e13) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13)))))))))\/((((op1 (e12) (e10)) = (e12))/\(((op1 (e10) (e12)) = (e12))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11))))/\(((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12))))/\((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))))))))\/((((op1 (e12) (e11)) = (e12))/\(((op1 (e11) (e12)) = (e12))/\(((~((op1 (e11) (e10)) = (e11)))\/(~((op1 (e11) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e11) (e12)) = (e11)))\/(~((op1 (e11) (e11)) = (e12))))/\((~((op1 (e11) (e13)) = (e11)))\/(~((op1 (e11) (e11)) = (e13)))))))))\/((((op1 (e12) (e12)) = (e12))/\(((op1 (e12) (e12)) = (e12))/\(((~((op1 (e12) (e10)) = (e12)))\/(~((op1 (e12) (e12)) = (e10))))/\(((~((op1 (e12) (e11)) = (e12)))\/(~((op1 (e12) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13)))))))))\/((((op1 (e12) (e13)) = (e12))/\(((op1 (e13) (e12)) = (e12))/\(((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e13) (e13)) = (e10))))/\(((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11))))/\(((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e13) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13)))))))))\/((((op1 (e13) (e10)) = (e13))/\(((op1 (e10) (e13)) = (e13))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11))))/\(((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12))))/\((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))))))))\/((((op1 (e13) (e11)) = (e13))/\(((op1 (e11) (e13)) = (e13))/\(((~((op1 (e11) (e10)) = (e11)))\/(~((op1 (e11) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e11) (e12)) = (e11)))\/(~((op1 (e11) (e11)) = (e12))))/\((~((op1 (e11) (e13)) = (e11)))\/(~((op1 (e11) (e11)) = (e13)))))))))\/((((op1 (e13) (e12)) = (e13))/\(((op1 (e12) (e13)) = (e13))/\(((~((op1 (e12) (e10)) = (e12)))\/(~((op1 (e12) (e12)) = (e10))))/\(((~((op1 (e12) (e11)) = (e12)))\/(~((op1 (e12) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13)))))))))\/(((op1 (e13) (e13)) = (e13))/\(((op1 (e13) (e13)) = (e13))/\(((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e13) (e13)) = (e10))))/\(((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11))))/\(((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e13) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13)))))))))))))))))))))))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e13)) = (e13))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> ((op1 (e11) (op1 (e11) (e11))) = (e11)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> ((op1 (e11) (e13)) = (e11)) -> (~((op1 (e13) (e13)) = (e12))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> ((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) -> ((e10) = (op1 (e11) (e11))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> False).
% 55.20/55.33 do 0 intro. intros zenon_H29e zenon_H1ed zenon_H1be zenon_H1b6 zenon_H2c2 zenon_H15a zenon_H2b9 zenon_H2c0 zenon_H14b zenon_H154 zenon_H155 zenon_H15f zenon_H179 zenon_H21a zenon_H18a zenon_H1a9 zenon_H1a0 zenon_H19d zenon_H246 zenon_H100 zenon_H3cb zenon_H57 zenon_H4c3 zenon_H1fa zenon_H1de zenon_H292 zenon_H23f zenon_H1cc zenon_H1da zenon_H358 zenon_H325 zenon_H1d8 zenon_H3f zenon_H44f zenon_H3b zenon_H461 zenon_H270 zenon_H534 zenon_H18e zenon_H2c9 zenon_H186 zenon_H180 zenon_H172 zenon_H16c zenon_H4df zenon_H67 zenon_H33 zenon_Hfc zenon_H3f4 zenon_Hd7 zenon_H101 zenon_H121 zenon_H37d zenon_H93 zenon_H98 zenon_H9f zenon_Ha5 zenon_H245 zenon_H1f4 zenon_H1c0 zenon_H32b zenon_H30e zenon_H2ad zenon_H2a5 zenon_H2a6 zenon_H2a3 zenon_H2b1 zenon_H214 zenon_H185 zenon_H17 zenon_H1e zenon_H15 zenon_H13 zenon_H25.
% 55.20/55.33 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_H1a3 | zenon_intro zenon_H1a2 ].
% 55.20/55.33 apply (zenon_or_s _ _ zenon_H1fa); [ zenon_intro zenon_H156 | zenon_intro zenon_H1fb ].
% 55.20/55.33 apply (zenon_L63_); trivial.
% 55.20/55.33 apply (zenon_or_s _ _ zenon_H1fb); [ zenon_intro zenon_H1b8 | zenon_intro zenon_H1fc ].
% 55.20/55.33 apply (zenon_L998_); trivial.
% 55.20/55.33 apply (zenon_or_s _ _ zenon_H1fc); [ zenon_intro zenon_H1c6 | zenon_intro zenon_H1ec ].
% 55.20/55.33 apply (zenon_L157_); trivial.
% 55.20/55.33 apply (zenon_L999_); trivial.
% 55.20/55.33 apply (zenon_or_s _ _ zenon_H1a2); [ zenon_intro zenon_H16 | zenon_intro zenon_H1a4 ].
% 55.20/55.33 apply (zenon_L2_); trivial.
% 55.20/55.33 apply (zenon_or_s _ _ zenon_H1a4); [ zenon_intro zenon_H1d | zenon_intro zenon_H24 ].
% 55.20/55.33 apply (zenon_L3_); trivial.
% 55.20/55.33 apply (zenon_L4_); trivial.
% 55.20/55.33 (* end of lemma zenon_L1000_ *)
% 55.20/55.33 assert (zenon_L1001_ : (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((e12) = (e13))) -> ((op1 (e12) (e11)) = (e12)) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e10) (e10)) = (e13)) -> ((e12) = (op1 (op1 (op1 (e11) (e11)) (op1 (e11) (e11))) (op1 (e11) (e11)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> ((op2 (e23) (e22)) = (e21)) -> ((h2 (e13)) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((e23) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((h2 (e12)) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> ((e22) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> ((h2 (e11)) = (e21)) -> (~((h2 (op1 (e13) (e12))) = (op2 (h2 (e13)) (h2 (e12))))) -> (~((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))))) -> ((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) -> ((op1 (e11) (e11)) = (e13)) -> ((e10) = (op1 (e11) (e11))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> False).
% 55.20/55.33 do 0 intro. intros zenon_H2e7 zenon_H2ad zenon_H236 zenon_H202 zenon_H1d8 zenon_H1a3 zenon_H155 zenon_H179 zenon_H3d1 zenon_H461 zenon_H3b zenon_H44f zenon_H3f zenon_H270 zenon_H534 zenon_H18e zenon_H18f zenon_H325 zenon_H15 zenon_H2b7 zenon_H13 zenon_H2b9.
% 55.20/55.33 apply (zenon_or_s _ _ zenon_H2e7); [ zenon_intro zenon_H2ac | zenon_intro zenon_H2e8 ].
% 55.20/55.33 apply (zenon_L154_); trivial.
% 55.20/55.33 apply (zenon_or_s _ _ zenon_H2e8); [ zenon_intro zenon_H2e3 | zenon_intro zenon_H2e9 ].
% 55.20/55.33 apply (zenon_L482_); trivial.
% 55.20/55.33 apply (zenon_or_s _ _ zenon_H2e9); [ zenon_intro zenon_H1d3 | zenon_intro zenon_H235 ].
% 55.20/55.33 apply (zenon_L983_); trivial.
% 55.20/55.33 apply (zenon_L163_); trivial.
% 55.20/55.33 (* end of lemma zenon_L1001_ *)
% 55.20/55.33 assert (zenon_L1002_ : (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((e12) = (e13))) -> ((op1 (e12) (e11)) = (e12)) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> ((e10) = (op1 (e11) (e11))) -> ((op1 (e10) (e10)) = (e13)) -> ((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) -> ((e12) = (op1 (op1 (op1 (e11) (e11)) (op1 (e11) (e11))) (op1 (e11) (e11)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> ((op2 (e23) (e22)) = (e21)) -> ((h2 (e13)) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((e23) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((h2 (e12)) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> ((e22) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> ((h2 (e11)) = (e21)) -> (~((h2 (op1 (e13) (e12))) = (op2 (h2 (e13)) (h2 (e12))))) -> (~((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) (e13)) = (op1 (e12) (e13)))) -> ((op1 (e11) (op1 (e11) (e13))) = (e13)) -> ((op1 (e11) (e13)) = (e13)) -> False).
% 55.20/55.33 do 0 intro. intros zenon_H2e7 zenon_H2ad zenon_H236 zenon_H202 zenon_H1d8 zenon_H13 zenon_H1a3 zenon_H15 zenon_H155 zenon_H179 zenon_H3d1 zenon_H461 zenon_H3b zenon_H44f zenon_H3f zenon_H270 zenon_H534 zenon_H18e zenon_H18f zenon_H325 zenon_H2c0 zenon_H29e zenon_H234.
% 55.20/55.33 apply (zenon_or_s _ _ zenon_H2e7); [ zenon_intro zenon_H2ac | zenon_intro zenon_H2e8 ].
% 55.20/55.33 apply (zenon_L154_); trivial.
% 55.20/55.33 apply (zenon_or_s _ _ zenon_H2e8); [ zenon_intro zenon_H2e3 | zenon_intro zenon_H2e9 ].
% 55.20/55.33 apply (zenon_L482_); trivial.
% 55.20/55.33 apply (zenon_or_s _ _ zenon_H2e9); [ zenon_intro zenon_H1d3 | zenon_intro zenon_H235 ].
% 55.20/55.33 apply (zenon_L983_); trivial.
% 55.20/55.33 apply (zenon_L165_); trivial.
% 55.20/55.33 (* end of lemma zenon_L1002_ *)
% 55.20/55.33 assert (zenon_L1003_ : (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> ((op1 (e11) (e11)) = (e12)) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((e12) = (e13))) -> ((op1 (e12) (e11)) = (e12)) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> ((e10) = (op1 (e11) (e11))) -> ((op1 (e10) (e10)) = (e13)) -> ((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) -> ((e12) = (op1 (op1 (op1 (e11) (e11)) (op1 (e11) (e11))) (op1 (e11) (e11)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> ((op2 (e23) (e22)) = (e21)) -> ((h2 (e13)) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((e23) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((h2 (e12)) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> ((e22) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> ((h2 (e11)) = (e21)) -> (~((h2 (op1 (e13) (e12))) = (op2 (h2 (e13)) (h2 (e12))))) -> (~((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) (e13)) = (op1 (e12) (e13)))) -> ((op1 (e11) (op1 (e11) (e13))) = (e13)) -> False).
% 55.20/55.33 do 0 intro. intros zenon_H2c2 zenon_H15a zenon_H2b9 zenon_H358 zenon_H1b8 zenon_H2e7 zenon_H2ad zenon_H236 zenon_H202 zenon_H1d8 zenon_H13 zenon_H1a3 zenon_H15 zenon_H155 zenon_H179 zenon_H3d1 zenon_H461 zenon_H3b zenon_H44f zenon_H3f zenon_H270 zenon_H534 zenon_H18e zenon_H18f zenon_H325 zenon_H2c0 zenon_H29e.
% 55.20/55.33 apply (zenon_or_s _ _ zenon_H2c2); [ zenon_intro zenon_H159 | zenon_intro zenon_H2c3 ].
% 55.20/55.33 apply (zenon_L64_); trivial.
% 55.20/55.33 apply (zenon_or_s _ _ zenon_H2c3); [ zenon_intro zenon_H2b7 | zenon_intro zenon_H2c4 ].
% 55.20/55.33 apply (zenon_L1001_); trivial.
% 55.20/55.33 apply (zenon_or_s _ _ zenon_H2c4); [ zenon_intro zenon_H1f3 | zenon_intro zenon_H234 ].
% 55.20/55.33 apply (zenon_L289_); trivial.
% 55.20/55.33 apply (zenon_L1002_); trivial.
% 55.20/55.33 (* end of lemma zenon_L1003_ *)
% 55.20/55.33 assert (zenon_L1004_ : (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> ((op1 (e11) (op1 (e11) (e13))) = (e13)) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> ((e12) = (op1 (op1 (op1 (e11) (e11)) (op1 (e11) (e11))) (op1 (e11) (e11)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> ((op2 (e23) (e22)) = (e21)) -> ((h2 (e13)) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((e23) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((h2 (e12)) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> ((e22) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> ((h2 (e11)) = (e21)) -> (~((h2 (op1 (e13) (e12))) = (op2 (h2 (e13)) (h2 (e12))))) -> (~((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 (e10) (e12)) = (op1 (e11) (e12)))) -> ((op1 (e10) (e12)) = (e12)) -> ((op1 (e13) (e10)) = (e12)) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((e12) = (e13))) -> ((op1 (e12) (e11)) = (e12)) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> ((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) -> ((e10) = (op1 (e11) (e11))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> False).
% 55.20/55.33 do 0 intro. intros zenon_H1a0 zenon_H29e zenon_H1f4 zenon_H155 zenon_H179 zenon_H3d1 zenon_H461 zenon_H3b zenon_H44f zenon_H3f zenon_H270 zenon_H534 zenon_H18e zenon_H18f zenon_H325 zenon_H358 zenon_H4bf zenon_H16b zenon_H2c2 zenon_H15a zenon_H2b9 zenon_H2e7 zenon_H2ad zenon_H236 zenon_H202 zenon_H1d8 zenon_H2c0 zenon_H154 zenon_H1fa zenon_H17 zenon_H1e zenon_H15 zenon_H13 zenon_H25.
% 55.20/55.33 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_H1a3 | zenon_intro zenon_H1a2 ].
% 55.20/55.33 apply (zenon_or_s _ _ zenon_H1fa); [ zenon_intro zenon_H156 | zenon_intro zenon_H1fb ].
% 55.20/55.33 apply (zenon_L63_); trivial.
% 55.20/55.33 apply (zenon_or_s _ _ zenon_H1fb); [ zenon_intro zenon_H1b8 | zenon_intro zenon_H1fc ].
% 55.20/55.33 apply (zenon_L1003_); trivial.
% 55.20/55.33 apply (zenon_or_s _ _ zenon_H1fc); [ zenon_intro zenon_H1c6 | zenon_intro zenon_H1ec ].
% 55.20/55.33 apply (zenon_L639_); trivial.
% 55.20/55.33 apply (zenon_L987_); trivial.
% 55.20/55.33 apply (zenon_or_s _ _ zenon_H1a2); [ zenon_intro zenon_H16 | zenon_intro zenon_H1a4 ].
% 55.20/55.33 apply (zenon_L2_); trivial.
% 55.20/55.33 apply (zenon_or_s _ _ zenon_H1a4); [ zenon_intro zenon_H1d | zenon_intro zenon_H24 ].
% 55.20/55.33 apply (zenon_L3_); trivial.
% 55.20/55.33 apply (zenon_L4_); trivial.
% 55.20/55.33 (* end of lemma zenon_L1004_ *)
% 55.20/55.33 assert (zenon_L1005_ : (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> ((op1 (e11) (op1 (e11) (e13))) = (e13)) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> ((op1 (e10) (e12)) = (e10)) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((h2 (op1 (e13) (e12))) = (op2 (h2 (e13)) (h2 (e12))))) -> ((h2 (e11)) = (e21)) -> ((e22) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> ((h2 (e12)) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> ((e23) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((h2 (e13)) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((op2 (e23) (e22)) = (e21)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> ((e12) = (op1 (op1 (op1 (e11) (e11)) (op1 (e11) (e11))) (op1 (e11) (e11)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e12) (e11)) = (e12)) -> (~((e12) = (e13))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> ((op1 (e11) (op1 (e11) (e12))) = (e12)) -> ((op1 (e10) (e13)) = (e12)) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> ((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) -> ((e10) = (op1 (e11) (e11))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> False).
% 55.20/55.33 do 0 intro. intros zenon_H1a0 zenon_H29e zenon_H2c0 zenon_H325 zenon_H18f zenon_H18e zenon_H534 zenon_H270 zenon_H3f zenon_H44f zenon_H3b zenon_H461 zenon_H3d1 zenon_H179 zenon_H155 zenon_H1d8 zenon_H202 zenon_H236 zenon_H2ad zenon_H2e7 zenon_H375 zenon_H31b zenon_H30e zenon_H2b9 zenon_H15a zenon_H2c2 zenon_H17 zenon_H1e zenon_H15 zenon_H13 zenon_H25.
% 55.20/55.33 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_H1a3 | zenon_intro zenon_H1a2 ].
% 55.20/55.33 apply (zenon_or_s _ _ zenon_H2c2); [ zenon_intro zenon_H159 | zenon_intro zenon_H2c3 ].
% 55.20/55.33 apply (zenon_L64_); trivial.
% 55.20/55.33 apply (zenon_or_s _ _ zenon_H2c3); [ zenon_intro zenon_H2b7 | zenon_intro zenon_H2c4 ].
% 55.20/55.33 apply (zenon_L1001_); trivial.
% 55.20/55.33 apply (zenon_or_s _ _ zenon_H2c4); [ zenon_intro zenon_H1f3 | zenon_intro zenon_H234 ].
% 55.20/55.33 apply (zenon_L496_); trivial.
% 55.20/55.33 apply (zenon_L1002_); trivial.
% 55.20/55.33 apply (zenon_or_s _ _ zenon_H1a2); [ zenon_intro zenon_H16 | zenon_intro zenon_H1a4 ].
% 55.20/55.33 apply (zenon_L2_); trivial.
% 55.20/55.33 apply (zenon_or_s _ _ zenon_H1a4); [ zenon_intro zenon_H1d | zenon_intro zenon_H24 ].
% 55.20/55.33 apply (zenon_L3_); trivial.
% 55.20/55.33 apply (zenon_L4_); trivial.
% 55.20/55.33 (* end of lemma zenon_L1005_ *)
% 55.20/55.33 assert (zenon_L1006_ : (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (~((op1 (e10) (e10)) = (e10))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> ((e10) = (op1 (e11) (e11))) -> ((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> ((op1 (e11) (op1 (e11) (e12))) = (e12)) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((e12) = (e13))) -> ((op1 (e12) (e11)) = (e12)) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> ((e12) = (op1 (op1 (op1 (e11) (e11)) (op1 (e11) (e11))) (op1 (e11) (e11)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> ((op2 (e23) (e22)) = (e21)) -> ((h2 (e13)) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((e23) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((h2 (e12)) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> ((e22) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> ((h2 (e11)) = (e21)) -> (~((h2 (op1 (e13) (e12))) = (op2 (h2 (e13)) (h2 (e12))))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> ((op1 (e11) (op1 (e11) (e13))) = (e13)) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e10)) = (e12))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e13) (e10)) = (e12))))) -> (~((op1 (e10) (e10)) = (e12))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> (~((op1 (e10) (e13)) = (e10))) -> False).
% 55.20/55.34 do 0 intro. intros zenon_H246 zenon_H146 zenon_H19d zenon_H25 zenon_H13 zenon_H15 zenon_H1e zenon_H17 zenon_H2c2 zenon_H15a zenon_H2b9 zenon_H30e zenon_H375 zenon_H2e7 zenon_H2ad zenon_H236 zenon_H202 zenon_H1d8 zenon_H155 zenon_H179 zenon_H3d1 zenon_H461 zenon_H3b zenon_H44f zenon_H3f zenon_H270 zenon_H534 zenon_H18e zenon_H325 zenon_H2c0 zenon_H29e zenon_H1a0 zenon_H4c3 zenon_H4c4 zenon_H21a zenon_H1f4 zenon_H358 zenon_H154 zenon_H1fa zenon_H204 zenon_H4c2 zenon_H25f.
% 55.20/55.34 apply (zenon_or_s _ _ zenon_H246); [ zenon_intro zenon_H145 | zenon_intro zenon_H260 ].
% 55.20/55.34 exact (zenon_H146 zenon_H145).
% 55.20/55.34 apply (zenon_or_s _ _ zenon_H260); [ zenon_intro zenon_H166 | zenon_intro zenon_H261 ].
% 55.20/55.34 apply (zenon_L78_); trivial.
% 55.20/55.34 apply (zenon_or_s _ _ zenon_H261); [ zenon_intro zenon_H18f | zenon_intro zenon_H19b ].
% 55.20/55.34 apply (zenon_or_s _ _ zenon_H4c2); [ zenon_intro zenon_H4c6 | zenon_intro zenon_H4c5 ].
% 55.20/55.34 exact (zenon_H4c4 zenon_H4c6).
% 55.20/55.34 apply (zenon_or_s _ _ zenon_H4c5); [ zenon_intro zenon_H1dc | zenon_intro zenon_H4c7 ].
% 55.20/55.34 apply (zenon_L657_); trivial.
% 55.20/55.34 apply (zenon_or_s _ _ zenon_H4c7); [ zenon_intro zenon_H4bf | zenon_intro zenon_H31b ].
% 55.20/55.34 apply (zenon_or_s _ _ zenon_H4c3); [ zenon_intro zenon_H4c6 | zenon_intro zenon_H4c8 ].
% 55.20/55.34 exact (zenon_H4c4 zenon_H4c6).
% 55.20/55.34 apply (zenon_or_s _ _ zenon_H4c8); [ zenon_intro zenon_H156 | zenon_intro zenon_H4c9 ].
% 55.20/55.34 apply (zenon_L63_); trivial.
% 55.20/55.34 apply (zenon_or_s _ _ zenon_H4c9); [ zenon_intro zenon_H21b | zenon_intro zenon_H16b ].
% 55.20/55.34 apply (zenon_L109_); trivial.
% 55.20/55.34 apply (zenon_L1004_); trivial.
% 55.20/55.34 apply (zenon_L1005_); trivial.
% 55.20/55.34 exact (zenon_H25f zenon_H19b).
% 55.20/55.34 (* end of lemma zenon_L1006_ *)
% 55.20/55.34 assert (zenon_L1007_ : (((op2 (e23) (e22)) = (e20))\/(((op2 (e23) (e22)) = (e21))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e22)) = (e23))))) -> ((op2 (e20) (e22)) = (e20)) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (~((op1 (e10) (e13)) = (e10))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e10) (e10)) = (e12))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e10)) = (e12))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e13) (e10)) = (e12))))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> ((op1 (e11) (op1 (e11) (e13))) = (e13)) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((h2 (op1 (e13) (e12))) = (op2 (h2 (e13)) (h2 (e12))))) -> ((h2 (e11)) = (e21)) -> ((h2 (e12)) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> ((h2 (e13)) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> ((e12) = (op1 (op1 (op1 (e11) (e11)) (op1 (e11) (e11))) (op1 (e11) (e11)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e12) (e11)) = (e12)) -> (~((e12) = (e13))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> ((op1 (e11) (op1 (e11) (e12))) = (e12)) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> ((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) -> ((e10) = (op1 (e11) (e11))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (~((op1 (e10) (e10)) = (e10))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> ((e22) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> ((e23) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((op2 (e20) (e20)) = (e23)) -> ((op2 (e22) (e22)) = (e23)) -> ((e20) = (op2 (e21) (e21))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> False).
% 55.20/55.34 do 0 intro. intros zenon_H3f4 zenon_H57 zenon_H3cb zenon_H25f zenon_H4c2 zenon_H204 zenon_H1fa zenon_H154 zenon_H358 zenon_H1f4 zenon_H21a zenon_H4c4 zenon_H4c3 zenon_H1a0 zenon_H29e zenon_H2c0 zenon_H325 zenon_H18e zenon_H534 zenon_H270 zenon_H44f zenon_H461 zenon_H179 zenon_H155 zenon_H1d8 zenon_H202 zenon_H236 zenon_H2ad zenon_H2e7 zenon_H375 zenon_H30e zenon_H2b9 zenon_H15a zenon_H2c2 zenon_H17 zenon_H1e zenon_H15 zenon_H13 zenon_H25 zenon_H19d zenon_H146 zenon_H246 zenon_H67 zenon_H3f zenon_H3b zenon_Ha8 zenon_Hf6 zenon_H33 zenon_Hfc.
% 55.20/55.34 apply (zenon_or_s _ _ zenon_H3f4); [ zenon_intro zenon_H81 | zenon_intro zenon_H3f5 ].
% 55.20/55.34 apply (zenon_L357_); trivial.
% 55.20/55.34 apply (zenon_or_s _ _ zenon_H3f5); [ zenon_intro zenon_H3d1 | zenon_intro zenon_H3f6 ].
% 55.20/55.34 apply (zenon_L1006_); trivial.
% 55.20/55.34 apply (zenon_or_s _ _ zenon_H3f6); [ zenon_intro zenon_H66 | zenon_intro zenon_Hfb ].
% 55.20/55.34 apply (zenon_L16_); trivial.
% 55.20/55.34 apply (zenon_L50_); trivial.
% 55.20/55.34 (* end of lemma zenon_L1007_ *)
% 55.20/55.34 assert (zenon_L1008_ : ((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12)))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e20) (e21)) = (e23))\/(((op2 (e20) (e22)) = (e23))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e22)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> ((op2 (e22) (e20)) = (e20)) -> (~((op2 (e22) (e22)) = (e21))) -> (~((op2 (e22) (e22)) = (e22))) -> (((op2 (e23) (e22)) = (e20))\/(((op2 (e23) (e22)) = (e21))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e22)) = (e23))))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> ((e20) = (op2 (e21) (e21))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> ((op1 (e11) (op1 (e11) (e12))) = (e12)) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> ((op1 (e11) (op1 (e11) (e13))) = (e13)) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((e12) = (e13))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> ((e22) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> ((h2 (e12)) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> ((e23) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((h2 (e13)) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((h2 (e11)) = (e21)) -> (~((h2 (op1 (e13) (e12))) = (op2 (h2 (e13)) (h2 (e12))))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> ((e12) = (op1 (op1 (op1 (e11) (e11)) (op1 (e11) (e11))) (op1 (e11) (e11)))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> ((op1 (e12) (e11)) = (e12)) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e10)) = (e12))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e13) (e10)) = (e12))))) -> ((op2 (e20) (e22)) = (e20)) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e22) (e22)) = (e20))\/(((op2 (e22) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e22)) = (e23))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> ((e10) = (op1 (e11) (e11))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (~((op1 (e10) (e10)) = (e10))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> ((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> ((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))) -> False).
% 55.20/55.34 do 0 intro. intros zenon_H25e zenon_Ha5 zenon_H9f zenon_H98 zenon_H93 zenon_H37d zenon_H121 zenon_H101 zenon_Hd7 zenon_H3f4 zenon_Hfc zenon_H33 zenon_H67 zenon_H4c2 zenon_H375 zenon_H30e zenon_H2c2 zenon_H2c0 zenon_H29e zenon_H358 zenon_H2ad zenon_H236 zenon_H325 zenon_H1d8 zenon_H179 zenon_H3f zenon_H44f zenon_H3b zenon_H461 zenon_H270 zenon_H534 zenon_H18e zenon_H2b9 zenon_H2e7 zenon_H15a zenon_H1f4 zenon_H1fa zenon_H154 zenon_H155 zenon_H21a zenon_H204 zenon_H202 zenon_H4c3 zenon_H57 zenon_H3cb zenon_H100 zenon_H246 zenon_H13 zenon_H19d zenon_H146 zenon_H1a0 zenon_H25 zenon_H1e zenon_H15 zenon_H17 zenon_H25d.
% 55.20/55.34 apply (zenon_or_s _ _ zenon_H25e); [ zenon_intro zenon_H458 | zenon_intro zenon_H4c4 ].
% 55.20/55.34 apply (zenon_L629_); trivial.
% 55.20/55.34 apply (zenon_or_s _ _ zenon_H25d); [ zenon_intro zenon_H25f | zenon_intro zenon_H1a1 ].
% 55.20/55.34 apply (zenon_or_s _ _ zenon_Ha5); [ zenon_intro zenon_Ha8 | zenon_intro zenon_Ha7 ].
% 55.20/55.34 apply (zenon_or_s _ _ zenon_H100); [ zenon_intro zenon_H88 | zenon_intro zenon_H102 ].
% 55.20/55.34 apply (zenon_L309_); trivial.
% 55.20/55.34 apply (zenon_or_s _ _ zenon_H102); [ zenon_intro zenon_H104 | zenon_intro zenon_H103 ].
% 55.20/55.34 exact (zenon_H101 zenon_H104).
% 55.20/55.34 apply (zenon_or_s _ _ zenon_H103); [ zenon_intro zenon_Hd6 | zenon_intro zenon_Hf6 ].
% 55.20/55.34 exact (zenon_Hd7 zenon_Hd6).
% 55.20/55.34 apply (zenon_L1007_); trivial.
% 55.20/55.34 apply (zenon_or_s _ _ zenon_Ha7); [ zenon_intro zenon_H92 | zenon_intro zenon_Ha9 ].
% 55.20/55.34 apply (zenon_L25_); trivial.
% 55.20/55.34 apply (zenon_or_s _ _ zenon_Ha9); [ zenon_intro zenon_H97 | zenon_intro zenon_H9e ].
% 55.20/55.34 apply (zenon_L26_); trivial.
% 55.20/55.34 apply (zenon_L27_); trivial.
% 55.20/55.34 apply (zenon_L79_); trivial.
% 55.20/55.34 (* end of lemma zenon_L1008_ *)
% 55.20/55.34 assert (zenon_L1009_ : ((((op1 (e10) (op1 (e10) (e10))) = (e10))/\(((op1 (e10) (op1 (e10) (e11))) = (e11))/\(((op1 (e10) (op1 (e10) (e12))) = (e12))/\(((op1 (e10) (op1 (e10) (e13))) = (e13))/\(((~((op1 (e10) (e10)) = (e10)))\/((op1 (e10) (e10)) = (e10)))/\(((~((op1 (e11) (e11)) = (e10)))\/((op1 (e11) (e10)) = (e11)))/\(((~((op1 (e12) (e12)) = (e10)))\/((op1 (e12) (e10)) = (e12)))/\((~((op1 (e13) (e13)) = (e10)))\/((op1 (e13) (e10)) = (e13))))))))))\/((((op1 (e11) (op1 (e11) (e10))) = (e10))/\(((op1 (e11) (op1 (e11) (e11))) = (e11))/\(((op1 (e11) (op1 (e11) (e12))) = (e12))/\(((op1 (e11) (op1 (e11) (e13))) = (e13))/\(((~((op1 (e10) (e10)) = (e11)))\/((op1 (e10) (e11)) = (e10)))/\(((~((op1 (e11) (e11)) = (e11)))\/((op1 (e11) (e11)) = (e11)))/\(((~((op1 (e12) (e12)) = (e11)))\/((op1 (e12) (e11)) = (e12)))/\((~((op1 (e13) (e13)) = (e11)))\/((op1 (e13) (e11)) = (e13))))))))))\/((((op1 (e12) (op1 (e12) (e10))) = (e10))/\(((op1 (e12) (op1 (e12) (e11))) = (e11))/\(((op1 (e12) (op1 (e12) (e12))) = (e12))/\(((op1 (e12) (op1 (e12) (e13))) = (e13))/\(((~((op1 (e10) (e10)) = (e12)))\/((op1 (e10) (e12)) = (e10)))/\(((~((op1 (e11) (e11)) = (e12)))\/((op1 (e11) (e12)) = (e11)))/\(((~((op1 (e12) (e12)) = (e12)))\/((op1 (e12) (e12)) = (e12)))/\((~((op1 (e13) (e13)) = (e12)))\/((op1 (e13) (e12)) = (e13))))))))))\/(((op1 (e13) (op1 (e13) (e10))) = (e10))/\(((op1 (e13) (op1 (e13) (e11))) = (e11))/\(((op1 (e13) (op1 (e13) (e12))) = (e12))/\(((op1 (e13) (op1 (e13) (e13))) = (e13))/\(((~((op1 (e10) (e10)) = (e13)))\/((op1 (e10) (e13)) = (e10)))/\(((~((op1 (e11) (e11)) = (e13)))\/((op1 (e11) (e13)) = (e11)))/\(((~((op1 (e12) (e12)) = (e13)))\/((op1 (e12) (e13)) = (e12)))/\((~((op1 (e13) (e13)) = (e13)))\/((op1 (e13) (e13)) = (e13))))))))))))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (((op2 (e22) (e22)) = (e20))\/(((op2 (e22) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e22)) = (e23))))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> ((op2 (e20) (e22)) = (e20)) -> (~((h2 (op1 (e13) (e12))) = (op2 (h2 (e13)) (h2 (e12))))) -> ((h2 (e11)) = (e21)) -> ((h2 (e13)) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((e23) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((h2 (e12)) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> ((e22) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> ((e20) = (op2 (e21) (e21))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e23) (e22)) = (e20))\/(((op2 (e23) (e22)) = (e21))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e22)) = (e23))))) -> (~((op2 (e22) (e22)) = (e22))) -> (~((op2 (e22) (e22)) = (e21))) -> ((op2 (e22) (e20)) = (e20)) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e22)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e20) (e21)) = (e23))\/(((op2 (e20) (e22)) = (e23))\/((op2 (e20) (e23)) = (e23))))) -> (~((e10) = (e12))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e10)) = (e12))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e13) (e10)) = (e12))))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> (~((op1 (e11) (e12)) = (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 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (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)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (((op1 (e10) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e12) (e11)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((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 (e11) (e11)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e12) (e13)) = (e10))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> ((((op1 (e10) (e10)) = (e10))/\(((op1 (e10) (e10)) = (e10))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11))))/\(((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12))))/\((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))))))))\/((((op1 (e10) (e11)) = (e10))/\(((op1 (e11) (e10)) = (e10))/\(((~((op1 (e11) (e10)) = (e11)))\/(~((op1 (e11) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e11) (e12)) = (e11)))\/(~((op1 (e11) (e11)) = (e12))))/\((~((op1 (e11) (e13)) = (e11)))\/(~((op1 (e11) (e11)) = (e13)))))))))\/((((op1 (e10) (e12)) = (e10))/\(((op1 (e12) (e10)) = (e10))/\(((~((op1 (e12) (e10)) = (e12)))\/(~((op1 (e12) (e12)) = (e10))))/\(((~((op1 (e12) (e11)) = (e12)))\/(~((op1 (e12) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13)))))))))\/((((op1 (e10) (e13)) = (e10))/\(((op1 (e13) (e10)) = (e10))/\(((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e13) (e13)) = (e10))))/\(((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11))))/\(((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e13) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13)))))))))\/((((op1 (e11) (e10)) = (e11))/\(((op1 (e10) (e11)) = (e11))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11))))/\(((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12))))/\((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))))))))\/((((op1 (e11) (e11)) = (e11))/\(((op1 (e11) (e11)) = (e11))/\(((~((op1 (e11) (e10)) = (e11)))\/(~((op1 (e11) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e11) (e12)) = (e11)))\/(~((op1 (e11) (e11)) = (e12))))/\((~((op1 (e11) (e13)) = (e11)))\/(~((op1 (e11) (e11)) = (e13)))))))))\/((((op1 (e11) (e12)) = (e11))/\(((op1 (e12) (e11)) = (e11))/\(((~((op1 (e12) (e10)) = (e12)))\/(~((op1 (e12) (e12)) = (e10))))/\(((~((op1 (e12) (e11)) = (e12)))\/(~((op1 (e12) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13)))))))))\/((((op1 (e11) (e13)) = (e11))/\(((op1 (e13) (e11)) = (e11))/\(((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e13) (e13)) = (e10))))/\(((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11))))/\(((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e13) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13)))))))))\/((((op1 (e12) (e10)) = (e12))/\(((op1 (e10) (e12)) = (e12))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11))))/\(((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12))))/\((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))))))))\/((((op1 (e12) (e11)) = (e12))/\(((op1 (e11) (e12)) = (e12))/\(((~((op1 (e11) (e10)) = (e11)))\/(~((op1 (e11) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e11) (e12)) = (e11)))\/(~((op1 (e11) (e11)) = (e12))))/\((~((op1 (e11) (e13)) = (e11)))\/(~((op1 (e11) (e11)) = (e13)))))))))\/((((op1 (e12) (e12)) = (e12))/\(((op1 (e12) (e12)) = (e12))/\(((~((op1 (e12) (e10)) = (e12)))\/(~((op1 (e12) (e12)) = (e10))))/\(((~((op1 (e12) (e11)) = (e12)))\/(~((op1 (e12) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13)))))))))\/((((op1 (e12) (e13)) = (e12))/\(((op1 (e13) (e12)) = (e12))/\(((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e13) (e13)) = (e10))))/\(((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11))))/\(((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e13) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13)))))))))\/((((op1 (e13) (e10)) = (e13))/\(((op1 (e10) (e13)) = (e13))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11))))/\(((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12))))/\((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))))))))\/((((op1 (e13) (e11)) = (e13))/\(((op1 (e11) (e13)) = (e13))/\(((~((op1 (e11) (e10)) = (e11)))\/(~((op1 (e11) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e11) (e12)) = (e11)))\/(~((op1 (e11) (e11)) = (e12))))/\((~((op1 (e11) (e13)) = (e11)))\/(~((op1 (e11) (e11)) = (e13)))))))))\/((((op1 (e13) (e12)) = (e13))/\(((op1 (e12) (e13)) = (e13))/\(((~((op1 (e12) (e10)) = (e12)))\/(~((op1 (e12) (e12)) = (e10))))/\(((~((op1 (e12) (e11)) = (e12)))\/(~((op1 (e12) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13)))))))))\/(((op1 (e13) (e13)) = (e13))/\(((op1 (e13) (e13)) = (e13))/\(((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e13) (e13)) = (e10))))/\(((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11))))/\(((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e13) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13)))))))))))))))))))))))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((e12) = (e13))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e13)) = (e10))\/(((op1 (e13) (e13)) = (e11))\/(((op1 (e13) (e13)) = (e12))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> ((e12) = (op1 (op1 (op1 (e11) (e11)) (op1 (e11) (e11))) (op1 (e11) (e11)))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e12))\/((op1 (e11) (e10)) = (e13))))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> ((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) -> ((e10) = (op1 (e11) (e11))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> False).
% 55.20/55.34 do 0 intro. intros zenon_H36e zenon_H192 zenon_H100 zenon_H3cb zenon_H57 zenon_H534 zenon_H270 zenon_H461 zenon_H3b zenon_H44f zenon_H3f zenon_H1de zenon_H1fa zenon_H67 zenon_H33 zenon_Hfc zenon_H3f4 zenon_Hd7 zenon_H101 zenon_H121 zenon_H37d zenon_H93 zenon_H98 zenon_H9f zenon_Ha5 zenon_H16c zenon_H4df zenon_H4c3 zenon_H2a5 zenon_H2b1 zenon_H1ed zenon_H4c2 zenon_H1e8 zenon_H1f7 zenon_H32b zenon_H206 zenon_H32e zenon_H1a9 zenon_H246 zenon_H2fd zenon_H2c0 zenon_H2b9 zenon_H328 zenon_H325 zenon_H322 zenon_H1f4 zenon_H2c2 zenon_H321 zenon_H301 zenon_H30b zenon_H204 zenon_H30e zenon_H316 zenon_H19d zenon_H2ea zenon_H2e2 zenon_H2a3 zenon_H2e6 zenon_H2d9 zenon_H1cc zenon_H2d1 zenon_H245 zenon_H1d8 zenon_H1da zenon_H209 zenon_H358 zenon_H2c9 zenon_H355 zenon_H1fd zenon_H2f6 zenon_H23b zenon_H2ad zenon_H236 zenon_H2e7 zenon_H21a zenon_H313 zenon_H1be zenon_H345 zenon_H20c zenon_H1b1 zenon_H186 zenon_H180 zenon_H179 zenon_H172 zenon_H18e zenon_H14b zenon_H154 zenon_H155 zenon_H15a zenon_H15f zenon_H2fb zenon_H360 zenon_H2f8 zenon_H35d zenon_H18a zenon_H17 zenon_H15 zenon_H13 zenon_H1e zenon_H25 zenon_H1a0.
% 55.20/55.34 apply (zenon_or_s _ _ zenon_H36e); [ zenon_intro zenon_H244 | zenon_intro zenon_H36f ].
% 55.20/55.34 apply (zenon_L126_); trivial.
% 55.20/55.34 apply (zenon_or_s _ _ zenon_H36f); [ zenon_intro zenon_H371 | zenon_intro zenon_H370 ].
% 55.20/55.34 apply (zenon_and_s _ _ zenon_H371). zenon_intro zenon_H292. zenon_intro zenon_H372.
% 55.20/55.34 apply (zenon_and_s _ _ zenon_H372). zenon_intro zenon_H2a6. zenon_intro zenon_H373.
% 55.20/55.34 apply (zenon_and_s _ _ zenon_H373). zenon_intro zenon_H375. zenon_intro zenon_H374.
% 55.20/55.34 apply (zenon_and_s _ _ zenon_H374). zenon_intro zenon_H29e. zenon_intro zenon_H376.
% 55.20/55.34 apply (zenon_and_s _ _ zenon_H376). zenon_intro zenon_H378. zenon_intro zenon_H377.
% 55.20/55.34 apply (zenon_and_s _ _ zenon_H377). zenon_intro zenon_H37a. zenon_intro zenon_H379.
% 55.20/55.34 apply (zenon_and_s _ _ zenon_H379). zenon_intro zenon_H37c. zenon_intro zenon_H37b.
% 55.20/55.34 apply (zenon_or_s _ _ zenon_H37c); [ zenon_intro zenon_H23f | zenon_intro zenon_H202 ].
% 55.20/55.34 apply (zenon_or_s _ _ zenon_H37b); [ zenon_intro zenon_H20d | zenon_intro zenon_H1c3 ].
% 55.20/55.34 apply (zenon_or_s _ _ zenon_H245); [ zenon_intro zenon_H147 | zenon_intro zenon_H254 ].
% 55.20/55.34 apply (zenon_L60_); trivial.
% 55.20/55.34 apply (zenon_or_s _ _ zenon_H254); [ zenon_intro zenon_H164 | zenon_intro zenon_H255 ].
% 55.20/55.34 apply (zenon_L66_); trivial.
% 55.20/55.34 apply (zenon_or_s _ _ zenon_H255); [ zenon_intro zenon_H197 | zenon_intro zenon_H256 ].
% 55.20/55.34 apply (zenon_L991_); trivial.
% 55.20/55.34 apply (zenon_or_s _ _ zenon_H256); [ zenon_intro zenon_H199 | zenon_intro zenon_H257 ].
% 55.20/55.34 apply (zenon_L77_); trivial.
% 55.20/55.34 apply (zenon_or_s _ _ zenon_H257); [ zenon_intro zenon_H259 | zenon_intro zenon_H258 ].
% 55.20/55.34 apply (zenon_L996_); trivial.
% 55.20/55.34 apply (zenon_or_s _ _ zenon_H258); [ zenon_intro zenon_H1a5 | zenon_intro zenon_H262 ].
% 55.20/55.34 apply (zenon_L80_); trivial.
% 55.20/55.34 apply (zenon_or_s _ _ zenon_H262); [ zenon_intro zenon_H1ae | zenon_intro zenon_H263 ].
% 55.20/55.34 apply (zenon_L83_); trivial.
% 55.20/55.34 apply (zenon_or_s _ _ zenon_H263); [ zenon_intro zenon_H212 | zenon_intro zenon_H264 ].
% 55.20/55.34 apply (zenon_and_s _ _ zenon_H212). zenon_intro zenon_H214. zenon_intro zenon_H213.
% 55.20/55.34 apply (zenon_and_s _ _ zenon_H213). zenon_intro zenon_H1ff. zenon_intro zenon_H19c.
% 55.20/55.34 apply (zenon_and_s _ _ zenon_H19c). zenon_intro zenon_H216. zenon_intro zenon_H215.
% 55.20/55.34 apply (zenon_and_s _ _ zenon_H215). zenon_intro zenon_H218. zenon_intro zenon_H217.
% 55.20/55.34 apply (zenon_and_s _ _ zenon_H217). zenon_intro zenon_H219. zenon_intro zenon_H211.
% 55.20/55.34 apply (zenon_or_s _ _ zenon_H216); [ zenon_intro zenon_H1b6 | zenon_intro zenon_H193 ].
% 55.20/55.34 apply (zenon_or_s _ _ zenon_H219); [ zenon_intro zenon_H1bd | zenon_intro zenon_H185 ].
% 55.20/55.34 apply (zenon_L151_); trivial.
% 55.20/55.34 apply (zenon_or_s _ _ zenon_H211); [ zenon_intro zenon_H1c0 | zenon_intro zenon_H1c0 ].
% 55.20/55.34 apply (zenon_L1000_); trivial.
% 55.20/55.34 apply (zenon_L1000_); trivial.
% 55.20/55.34 apply (zenon_L107_); trivial.
% 55.20/55.34 apply (zenon_or_s _ _ zenon_H264); [ zenon_intro zenon_H220 | zenon_intro zenon_H265 ].
% 55.20/55.34 apply (zenon_L110_); trivial.
% 55.20/55.34 apply (zenon_or_s _ _ zenon_H265); [ zenon_intro zenon_H222 | zenon_intro zenon_H266 ].
% 55.20/55.34 apply (zenon_L111_); trivial.
% 55.20/55.34 apply (zenon_or_s _ _ zenon_H266); [ zenon_intro zenon_H225 | zenon_intro zenon_H267 ].
% 55.20/55.34 apply (zenon_L113_); trivial.
% 55.20/55.34 apply (zenon_or_s _ _ zenon_H267); [ zenon_intro zenon_H22d | zenon_intro zenon_H268 ].
% 55.20/55.34 apply (zenon_L114_); trivial.
% 55.20/55.34 apply (zenon_or_s _ _ zenon_H268); [ zenon_intro zenon_H230 | zenon_intro zenon_H269 ].
% 55.20/55.34 apply (zenon_L115_); trivial.
% 55.20/55.34 apply (zenon_or_s _ _ zenon_H269); [ zenon_intro zenon_H232 | zenon_intro zenon_H26a ].
% 55.20/55.34 apply (zenon_L116_); trivial.
% 55.20/55.34 apply (zenon_or_s _ _ zenon_H26a); [ zenon_intro zenon_H240 | zenon_intro zenon_H242 ].
% 55.20/55.34 apply (zenon_L166_); trivial.
% 55.20/55.34 apply (zenon_L125_); trivial.
% 55.20/55.34 apply (zenon_L997_); trivial.
% 55.20/55.34 apply (zenon_or_s _ _ zenon_H245); [ zenon_intro zenon_H147 | zenon_intro zenon_H254 ].
% 55.20/55.34 apply (zenon_L60_); trivial.
% 55.20/55.34 apply (zenon_or_s _ _ zenon_H254); [ zenon_intro zenon_H164 | zenon_intro zenon_H255 ].
% 55.20/55.34 apply (zenon_L66_); trivial.
% 55.20/55.34 apply (zenon_or_s _ _ zenon_H255); [ zenon_intro zenon_H197 | zenon_intro zenon_H256 ].
% 55.20/55.34 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_H18f. zenon_intro zenon_H198.
% 55.20/55.34 apply (zenon_and_s _ _ zenon_H198). zenon_intro zenon_H293. zenon_intro zenon_H227.
% 55.20/55.34 apply (zenon_and_s _ _ zenon_H227). zenon_intro zenon_H229. zenon_intro zenon_H228.
% 55.20/55.34 apply (zenon_and_s _ _ zenon_H228). zenon_intro zenon_H22b. zenon_intro zenon_H22a.
% 55.20/55.34 apply (zenon_or_s _ _ zenon_H22b); [ zenon_intro zenon_H23c | zenon_intro zenon_H23f ].
% 55.20/55.34 exact (zenon_H23c zenon_H202).
% 55.20/55.34 apply (zenon_L990_); trivial.
% 55.20/55.34 apply (zenon_or_s _ _ zenon_H256); [ zenon_intro zenon_H199 | zenon_intro zenon_H257 ].
% 55.20/55.34 apply (zenon_L77_); trivial.
% 55.20/55.34 apply (zenon_or_s _ _ zenon_H257); [ zenon_intro zenon_H259 | zenon_intro zenon_H258 ].
% 55.20/55.34 apply (zenon_and_s _ _ zenon_H259). zenon_intro zenon_H163. zenon_intro zenon_H25a.
% 55.20/55.34 apply (zenon_and_s _ _ zenon_H25a). zenon_intro zenon_H1fe. zenon_intro zenon_H149.
% 55.20/55.34 apply (zenon_and_s _ _ zenon_H149). zenon_intro zenon_H144. zenon_intro zenon_H14a.
% 55.20/55.34 apply (zenon_and_s _ _ zenon_H14a). zenon_intro zenon_H25c. zenon_intro zenon_H25b.
% 55.20/55.34 apply (zenon_and_s _ _ zenon_H25b). zenon_intro zenon_H25e. zenon_intro zenon_H25d.
% 55.20/55.34 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_H146 | zenon_intro zenon_H146 ].
% 55.20/55.34 apply (zenon_L1008_); trivial.
% 55.20/55.34 apply (zenon_L1008_); trivial.
% 55.20/55.34 apply (zenon_or_s _ _ zenon_H258); [ zenon_intro zenon_H1a5 | zenon_intro zenon_H262 ].
% 55.20/55.34 apply (zenon_L80_); trivial.
% 55.20/55.34 apply (zenon_or_s _ _ zenon_H262); [ zenon_intro zenon_H1ae | zenon_intro zenon_H263 ].
% 55.20/55.34 apply (zenon_L83_); trivial.
% 55.20/55.34 apply (zenon_or_s _ _ zenon_H263); [ zenon_intro zenon_H212 | zenon_intro zenon_H264 ].
% 55.20/55.34 apply (zenon_L169_); trivial.
% 55.20/55.34 apply (zenon_or_s _ _ zenon_H264); [ zenon_intro zenon_H220 | zenon_intro zenon_H265 ].
% 55.20/55.34 apply (zenon_L110_); trivial.
% 55.20/55.34 apply (zenon_or_s _ _ zenon_H265); [ zenon_intro zenon_H222 | zenon_intro zenon_H266 ].
% 55.20/55.34 apply (zenon_L111_); trivial.
% 55.20/55.34 apply (zenon_or_s _ _ zenon_H266); [ zenon_intro zenon_H225 | zenon_intro zenon_H267 ].
% 55.20/55.34 apply (zenon_L113_); trivial.
% 55.20/55.34 apply (zenon_or_s _ _ zenon_H267); [ zenon_intro zenon_H22d | zenon_intro zenon_H268 ].
% 55.20/55.34 apply (zenon_L114_); trivial.
% 55.20/55.34 apply (zenon_or_s _ _ zenon_H268); [ zenon_intro zenon_H230 | zenon_intro zenon_H269 ].
% 55.20/55.34 apply (zenon_L115_); trivial.
% 55.20/55.34 apply (zenon_or_s _ _ zenon_H269); [ zenon_intro zenon_H232 | zenon_intro zenon_H26a ].
% 55.20/55.34 apply (zenon_L116_); trivial.
% 55.20/55.34 apply (zenon_or_s _ _ zenon_H26a); [ zenon_intro zenon_H240 | zenon_intro zenon_H242 ].
% 55.20/55.34 apply (zenon_L166_); trivial.
% 55.20/55.34 apply (zenon_L125_); trivial.
% 55.20/55.34 apply (zenon_or_s _ _ zenon_H370); [ zenon_intro zenon_H335 | zenon_intro zenon_H363 ].
% 55.20/55.34 apply (zenon_L260_); trivial.
% 55.20/55.34 apply (zenon_L307_); trivial.
% 55.20/55.34 (* end of lemma zenon_L1009_ *)
% 55.20/55.34 assert (zenon_L1010_ : ((~((op2 (e22) (e22)) = (e22)))\/(~((op2 (e22) (e22)) = (e22)))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e12))\/((op1 (e11) (e10)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> ((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) -> ((e12) = (op1 (op1 (op1 (e11) (e11)) (op1 (e11) (e11))) (op1 (e11) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((e10) = (e12))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e11)) = (e12))\/((op1 (e10) (e11)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (((op1 (e13) (e13)) = (e10))\/(((op1 (e13) (e13)) = (e11))\/(((op1 (e13) (e13)) = (e12))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (~((e12) = (e13))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> ((((op1 (e10) (e10)) = (e10))/\(((op1 (e10) (e10)) = (e10))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11))))/\(((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12))))/\((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))))))))\/((((op1 (e10) (e11)) = (e10))/\(((op1 (e11) (e10)) = (e10))/\(((~((op1 (e11) (e10)) = (e11)))\/(~((op1 (e11) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e11) (e12)) = (e11)))\/(~((op1 (e11) (e11)) = (e12))))/\((~((op1 (e11) (e13)) = (e11)))\/(~((op1 (e11) (e11)) = (e13)))))))))\/((((op1 (e10) (e12)) = (e10))/\(((op1 (e12) (e10)) = (e10))/\(((~((op1 (e12) (e10)) = (e12)))\/(~((op1 (e12) (e12)) = (e10))))/\(((~((op1 (e12) (e11)) = (e12)))\/(~((op1 (e12) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13)))))))))\/((((op1 (e10) (e13)) = (e10))/\(((op1 (e13) (e10)) = (e10))/\(((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e13) (e13)) = (e10))))/\(((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11))))/\(((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e13) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13)))))))))\/((((op1 (e11) (e10)) = (e11))/\(((op1 (e10) (e11)) = (e11))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11))))/\(((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12))))/\((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))))))))\/((((op1 (e11) (e11)) = (e11))/\(((op1 (e11) (e11)) = (e11))/\(((~((op1 (e11) (e10)) = (e11)))\/(~((op1 (e11) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e11) (e12)) = (e11)))\/(~((op1 (e11) (e11)) = (e12))))/\((~((op1 (e11) (e13)) = (e11)))\/(~((op1 (e11) (e11)) = (e13)))))))))\/((((op1 (e11) (e12)) = (e11))/\(((op1 (e12) (e11)) = (e11))/\(((~((op1 (e12) (e10)) = (e12)))\/(~((op1 (e12) (e12)) = (e10))))/\(((~((op1 (e12) (e11)) = (e12)))\/(~((op1 (e12) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13)))))))))\/((((op1 (e11) (e13)) = (e11))/\(((op1 (e13) (e11)) = (e11))/\(((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e13) (e13)) = (e10))))/\(((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11))))/\(((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e13) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13)))))))))\/((((op1 (e12) (e10)) = (e12))/\(((op1 (e10) (e12)) = (e12))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11))))/\(((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12))))/\((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))))))))\/((((op1 (e12) (e11)) = (e12))/\(((op1 (e11) (e12)) = (e12))/\(((~((op1 (e11) (e10)) = (e11)))\/(~((op1 (e11) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e11) (e12)) = (e11)))\/(~((op1 (e11) (e11)) = (e12))))/\((~((op1 (e11) (e13)) = (e11)))\/(~((op1 (e11) (e11)) = (e13)))))))))\/((((op1 (e12) (e12)) = (e12))/\(((op1 (e12) (e12)) = (e12))/\(((~((op1 (e12) (e10)) = (e12)))\/(~((op1 (e12) (e12)) = (e10))))/\(((~((op1 (e12) (e11)) = (e12)))\/(~((op1 (e12) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13)))))))))\/((((op1 (e12) (e13)) = (e12))/\(((op1 (e13) (e12)) = (e12))/\(((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e13) (e13)) = (e10))))/\(((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11))))/\(((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e13) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13)))))))))\/((((op1 (e13) (e10)) = (e13))/\(((op1 (e10) (e13)) = (e13))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11))))/\(((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12))))/\((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))))))))\/((((op1 (e13) (e11)) = (e13))/\(((op1 (e11) (e13)) = (e13))/\(((~((op1 (e11) (e10)) = (e11)))\/(~((op1 (e11) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e11) (e12)) = (e11)))\/(~((op1 (e11) (e11)) = (e12))))/\((~((op1 (e11) (e13)) = (e11)))\/(~((op1 (e11) (e11)) = (e13)))))))))\/((((op1 (e13) (e12)) = (e13))/\(((op1 (e12) (e13)) = (e13))/\(((~((op1 (e12) (e10)) = (e12)))\/(~((op1 (e12) (e12)) = (e10))))/\(((~((op1 (e12) (e11)) = (e12)))\/(~((op1 (e12) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13)))))))))\/(((op1 (e13) (e13)) = (e13))/\(((op1 (e13) (e13)) = (e13))/\(((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e13) (e13)) = (e10))))/\(((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11))))/\(((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e13) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13)))))))))))))))))))))))) -> ((e10) = (op1 (e11) (e11))) -> (((op2 (e22) (e22)) = (e20))\/(((op2 (e22) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e22)) = (e23))))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> ((op2 (e20) (e22)) = (e20)) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (~((h2 (op1 (e13) (e12))) = (op2 (h2 (e13)) (h2 (e12))))) -> ((h2 (e11)) = (e21)) -> ((h2 (e13)) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((e23) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((h2 (e12)) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> ((e22) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> ((e20) = (op2 (e21) (e21))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e23) (e22)) = (e20))\/(((op2 (e23) (e22)) = (e21))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e22)) = (e23))))) -> (~((op2 (e22) (e22)) = (e21))) -> ((op2 (e22) (e20)) = (e20)) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e22)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e20) (e21)) = (e23))\/(((op2 (e20) (e22)) = (e23))\/((op2 (e20) (e23)) = (e23))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e10)) = (e12))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e13) (e10)) = (e12))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (((op1 (e10) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e12) (e11)) = (e13))))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e12) (e13)) = (e10))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> ((((op1 (e10) (op1 (e10) (e10))) = (e10))/\(((op1 (e10) (op1 (e10) (e11))) = (e11))/\(((op1 (e10) (op1 (e10) (e12))) = (e12))/\(((op1 (e10) (op1 (e10) (e13))) = (e13))/\(((~((op1 (e10) (e10)) = (e10)))\/((op1 (e10) (e10)) = (e10)))/\(((~((op1 (e11) (e11)) = (e10)))\/((op1 (e11) (e10)) = (e11)))/\(((~((op1 (e12) (e12)) = (e10)))\/((op1 (e12) (e10)) = (e12)))/\((~((op1 (e13) (e13)) = (e10)))\/((op1 (e13) (e10)) = (e13))))))))))\/((((op1 (e11) (op1 (e11) (e10))) = (e10))/\(((op1 (e11) (op1 (e11) (e11))) = (e11))/\(((op1 (e11) (op1 (e11) (e12))) = (e12))/\(((op1 (e11) (op1 (e11) (e13))) = (e13))/\(((~((op1 (e10) (e10)) = (e11)))\/((op1 (e10) (e11)) = (e10)))/\(((~((op1 (e11) (e11)) = (e11)))\/((op1 (e11) (e11)) = (e11)))/\(((~((op1 (e12) (e12)) = (e11)))\/((op1 (e12) (e11)) = (e12)))/\((~((op1 (e13) (e13)) = (e11)))\/((op1 (e13) (e11)) = (e13))))))))))\/((((op1 (e12) (op1 (e12) (e10))) = (e10))/\(((op1 (e12) (op1 (e12) (e11))) = (e11))/\(((op1 (e12) (op1 (e12) (e12))) = (e12))/\(((op1 (e12) (op1 (e12) (e13))) = (e13))/\(((~((op1 (e10) (e10)) = (e12)))\/((op1 (e10) (e12)) = (e10)))/\(((~((op1 (e11) (e11)) = (e12)))\/((op1 (e11) (e12)) = (e11)))/\(((~((op1 (e12) (e12)) = (e12)))\/((op1 (e12) (e12)) = (e12)))/\((~((op1 (e13) (e13)) = (e12)))\/((op1 (e13) (e12)) = (e13))))))))))\/(((op1 (e13) (op1 (e13) (e10))) = (e10))/\(((op1 (e13) (op1 (e13) (e11))) = (e11))/\(((op1 (e13) (op1 (e13) (e12))) = (e12))/\(((op1 (e13) (op1 (e13) (e13))) = (e13))/\(((~((op1 (e10) (e10)) = (e13)))\/((op1 (e10) (e13)) = (e10)))/\(((~((op1 (e11) (e11)) = (e13)))\/((op1 (e11) (e13)) = (e11)))/\(((~((op1 (e12) (e12)) = (e13)))\/((op1 (e12) (e13)) = (e12)))/\((~((op1 (e13) (e13)) = (e13)))\/((op1 (e13) (e13)) = (e13))))))))))))) -> False).
% 55.20/55.34 do 0 intro. intros zenon_Hd5 zenon_H15f zenon_H15a zenon_H15 zenon_H155 zenon_H154 zenon_H14b zenon_H186 zenon_H180 zenon_H179 zenon_H172 zenon_H16c zenon_H18a zenon_H18e zenon_H192 zenon_H246 zenon_H19d zenon_H1a0 zenon_H25 zenon_H1e zenon_H17 zenon_H1a9 zenon_H209 zenon_H206 zenon_H204 zenon_H1fd zenon_H1fa zenon_H1f7 zenon_H1f4 zenon_H1ed zenon_H1e8 zenon_H1da zenon_H1d8 zenon_H1cc zenon_H1de zenon_H1b1 zenon_H1be zenon_H20c zenon_H21a zenon_H236 zenon_H23b zenon_H245 zenon_H13 zenon_H100 zenon_H3cb zenon_H57 zenon_H2c9 zenon_H534 zenon_H270 zenon_H461 zenon_H3b zenon_H44f zenon_H3f zenon_H325 zenon_H358 zenon_H67 zenon_H33 zenon_Hfc zenon_H3f4 zenon_H101 zenon_H121 zenon_H37d zenon_H93 zenon_H98 zenon_H9f zenon_Ha5 zenon_H4df zenon_H4c3 zenon_H2b9 zenon_H2c0 zenon_H2c2 zenon_H2a3 zenon_H2a5 zenon_H2ad zenon_H2b1 zenon_H30e zenon_H32b zenon_H2e7 zenon_H4c2 zenon_H32e zenon_H2fd zenon_H2fb zenon_H2f6 zenon_H2f8 zenon_H328 zenon_H322 zenon_H321 zenon_H301 zenon_H30b zenon_H313 zenon_H316 zenon_H2ea zenon_H2e2 zenon_H2e6 zenon_H2d9 zenon_H2d1 zenon_H35d zenon_H360 zenon_H345 zenon_H355 zenon_H36e.
% 55.20/55.34 apply (zenon_or_s _ _ zenon_Hd5); [ zenon_intro zenon_Hd7 | zenon_intro zenon_Hd7 ].
% 55.20/55.34 apply (zenon_L1009_); trivial.
% 55.20/55.34 apply (zenon_L1009_); trivial.
% 55.20/55.34 (* end of lemma zenon_L1010_ *)
% 55.20/55.34 assert (zenon_L1011_ : (((op2 (e20) (e22)) = (e20))/\(((op2 (e22) (e20)) = (e20))/\(((~((op2 (e22) (e20)) = (e22)))\/(~((op2 (e22) (e22)) = (e20))))/\(((~((op2 (e22) (e21)) = (e22)))\/(~((op2 (e22) (e22)) = (e21))))/\(((~((op2 (e22) (e22)) = (e22)))\/(~((op2 (e22) (e22)) = (e22))))/\((~((op2 (e22) (e23)) = (e22)))\/(~((op2 (e22) (e22)) = (e23))))))))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e12))\/((op1 (e11) (e10)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> ((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) -> ((e12) = (op1 (op1 (op1 (e11) (e11)) (op1 (e11) (e11))) (op1 (e11) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((e10) = (e12))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e11)) = (e12))\/((op1 (e10) (e11)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (((op1 (e13) (e13)) = (e10))\/(((op1 (e13) (e13)) = (e11))\/(((op1 (e13) (e13)) = (e12))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (~((e12) = (e13))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> ((((op1 (e10) (e10)) = (e10))/\(((op1 (e10) (e10)) = (e10))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11))))/\(((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12))))/\((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))))))))\/((((op1 (e10) (e11)) = (e10))/\(((op1 (e11) (e10)) = (e10))/\(((~((op1 (e11) (e10)) = (e11)))\/(~((op1 (e11) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e11) (e12)) = (e11)))\/(~((op1 (e11) (e11)) = (e12))))/\((~((op1 (e11) (e13)) = (e11)))\/(~((op1 (e11) (e11)) = (e13)))))))))\/((((op1 (e10) (e12)) = (e10))/\(((op1 (e12) (e10)) = (e10))/\(((~((op1 (e12) (e10)) = (e12)))\/(~((op1 (e12) (e12)) = (e10))))/\(((~((op1 (e12) (e11)) = (e12)))\/(~((op1 (e12) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13)))))))))\/((((op1 (e10) (e13)) = (e10))/\(((op1 (e13) (e10)) = (e10))/\(((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e13) (e13)) = (e10))))/\(((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11))))/\(((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e13) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13)))))))))\/((((op1 (e11) (e10)) = (e11))/\(((op1 (e10) (e11)) = (e11))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11))))/\(((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12))))/\((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))))))))\/((((op1 (e11) (e11)) = (e11))/\(((op1 (e11) (e11)) = (e11))/\(((~((op1 (e11) (e10)) = (e11)))\/(~((op1 (e11) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e11) (e12)) = (e11)))\/(~((op1 (e11) (e11)) = (e12))))/\((~((op1 (e11) (e13)) = (e11)))\/(~((op1 (e11) (e11)) = (e13)))))))))\/((((op1 (e11) (e12)) = (e11))/\(((op1 (e12) (e11)) = (e11))/\(((~((op1 (e12) (e10)) = (e12)))\/(~((op1 (e12) (e12)) = (e10))))/\(((~((op1 (e12) (e11)) = (e12)))\/(~((op1 (e12) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13)))))))))\/((((op1 (e11) (e13)) = (e11))/\(((op1 (e13) (e11)) = (e11))/\(((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e13) (e13)) = (e10))))/\(((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11))))/\(((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e13) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13)))))))))\/((((op1 (e12) (e10)) = (e12))/\(((op1 (e10) (e12)) = (e12))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11))))/\(((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12))))/\((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))))))))\/((((op1 (e12) (e11)) = (e12))/\(((op1 (e11) (e12)) = (e12))/\(((~((op1 (e11) (e10)) = (e11)))\/(~((op1 (e11) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e11) (e12)) = (e11)))\/(~((op1 (e11) (e11)) = (e12))))/\((~((op1 (e11) (e13)) = (e11)))\/(~((op1 (e11) (e11)) = (e13)))))))))\/((((op1 (e12) (e12)) = (e12))/\(((op1 (e12) (e12)) = (e12))/\(((~((op1 (e12) (e10)) = (e12)))\/(~((op1 (e12) (e12)) = (e10))))/\(((~((op1 (e12) (e11)) = (e12)))\/(~((op1 (e12) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13)))))))))\/((((op1 (e12) (e13)) = (e12))/\(((op1 (e13) (e12)) = (e12))/\(((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e13) (e13)) = (e10))))/\(((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11))))/\(((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e13) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13)))))))))\/((((op1 (e13) (e10)) = (e13))/\(((op1 (e10) (e13)) = (e13))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11))))/\(((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12))))/\((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))))))))\/((((op1 (e13) (e11)) = (e13))/\(((op1 (e11) (e13)) = (e13))/\(((~((op1 (e11) (e10)) = (e11)))\/(~((op1 (e11) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e11) (e12)) = (e11)))\/(~((op1 (e11) (e11)) = (e12))))/\((~((op1 (e11) (e13)) = (e11)))\/(~((op1 (e11) (e11)) = (e13)))))))))\/((((op1 (e13) (e12)) = (e13))/\(((op1 (e12) (e13)) = (e13))/\(((~((op1 (e12) (e10)) = (e12)))\/(~((op1 (e12) (e12)) = (e10))))/\(((~((op1 (e12) (e11)) = (e12)))\/(~((op1 (e12) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13)))))))))\/(((op1 (e13) (e13)) = (e13))/\(((op1 (e13) (e13)) = (e13))/\(((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e13) (e13)) = (e10))))/\(((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11))))/\(((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e13) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13)))))))))))))))))))))))) -> ((e10) = (op1 (e11) (e11))) -> (((op2 (e22) (e22)) = (e20))\/(((op2 (e22) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e22)) = (e23))))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (~((h2 (op1 (e13) (e12))) = (op2 (h2 (e13)) (h2 (e12))))) -> ((h2 (e11)) = (e21)) -> ((h2 (e13)) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((e23) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((h2 (e12)) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> ((e22) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> ((e20) = (op2 (e21) (e21))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e23) (e22)) = (e20))\/(((op2 (e23) (e22)) = (e21))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e22)) = (e23))))) -> (~((op2 (e22) (e22)) = (e21))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e22)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e20) (e21)) = (e23))\/(((op2 (e20) (e22)) = (e23))\/((op2 (e20) (e23)) = (e23))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e10)) = (e12))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e13) (e10)) = (e12))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (((op1 (e10) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e12) (e11)) = (e13))))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e12) (e13)) = (e10))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> ((((op1 (e10) (op1 (e10) (e10))) = (e10))/\(((op1 (e10) (op1 (e10) (e11))) = (e11))/\(((op1 (e10) (op1 (e10) (e12))) = (e12))/\(((op1 (e10) (op1 (e10) (e13))) = (e13))/\(((~((op1 (e10) (e10)) = (e10)))\/((op1 (e10) (e10)) = (e10)))/\(((~((op1 (e11) (e11)) = (e10)))\/((op1 (e11) (e10)) = (e11)))/\(((~((op1 (e12) (e12)) = (e10)))\/((op1 (e12) (e10)) = (e12)))/\((~((op1 (e13) (e13)) = (e10)))\/((op1 (e13) (e10)) = (e13))))))))))\/((((op1 (e11) (op1 (e11) (e10))) = (e10))/\(((op1 (e11) (op1 (e11) (e11))) = (e11))/\(((op1 (e11) (op1 (e11) (e12))) = (e12))/\(((op1 (e11) (op1 (e11) (e13))) = (e13))/\(((~((op1 (e10) (e10)) = (e11)))\/((op1 (e10) (e11)) = (e10)))/\(((~((op1 (e11) (e11)) = (e11)))\/((op1 (e11) (e11)) = (e11)))/\(((~((op1 (e12) (e12)) = (e11)))\/((op1 (e12) (e11)) = (e12)))/\((~((op1 (e13) (e13)) = (e11)))\/((op1 (e13) (e11)) = (e13))))))))))\/((((op1 (e12) (op1 (e12) (e10))) = (e10))/\(((op1 (e12) (op1 (e12) (e11))) = (e11))/\(((op1 (e12) (op1 (e12) (e12))) = (e12))/\(((op1 (e12) (op1 (e12) (e13))) = (e13))/\(((~((op1 (e10) (e10)) = (e12)))\/((op1 (e10) (e12)) = (e10)))/\(((~((op1 (e11) (e11)) = (e12)))\/((op1 (e11) (e12)) = (e11)))/\(((~((op1 (e12) (e12)) = (e12)))\/((op1 (e12) (e12)) = (e12)))/\((~((op1 (e13) (e13)) = (e12)))\/((op1 (e13) (e12)) = (e13))))))))))\/(((op1 (e13) (op1 (e13) (e10))) = (e10))/\(((op1 (e13) (op1 (e13) (e11))) = (e11))/\(((op1 (e13) (op1 (e13) (e12))) = (e12))/\(((op1 (e13) (op1 (e13) (e13))) = (e13))/\(((~((op1 (e10) (e10)) = (e13)))\/((op1 (e10) (e13)) = (e10)))/\(((~((op1 (e11) (e11)) = (e13)))\/((op1 (e11) (e13)) = (e11)))/\(((~((op1 (e12) (e12)) = (e13)))\/((op1 (e12) (e13)) = (e12)))/\((~((op1 (e13) (e13)) = (e13)))\/((op1 (e13) (e13)) = (e13))))))))))))) -> False).
% 55.20/55.34 do 0 intro. intros zenon_H77 zenon_H15f zenon_H15a zenon_H15 zenon_H155 zenon_H154 zenon_H14b zenon_H186 zenon_H180 zenon_H179 zenon_H172 zenon_H16c zenon_H18a zenon_H18e zenon_H192 zenon_H246 zenon_H19d zenon_H1a0 zenon_H25 zenon_H1e zenon_H17 zenon_H1a9 zenon_H209 zenon_H206 zenon_H204 zenon_H1fd zenon_H1fa zenon_H1f7 zenon_H1f4 zenon_H1ed zenon_H1e8 zenon_H1da zenon_H1d8 zenon_H1cc zenon_H1de zenon_H1b1 zenon_H1be zenon_H20c zenon_H21a zenon_H236 zenon_H23b zenon_H245 zenon_H13 zenon_H100 zenon_H3cb zenon_H2c9 zenon_H534 zenon_H270 zenon_H461 zenon_H3b zenon_H44f zenon_H3f zenon_H325 zenon_H358 zenon_H67 zenon_H33 zenon_Hfc zenon_H3f4 zenon_H101 zenon_H37d zenon_H93 zenon_H98 zenon_H9f zenon_Ha5 zenon_H4df zenon_H4c3 zenon_H2b9 zenon_H2c0 zenon_H2c2 zenon_H2a3 zenon_H2a5 zenon_H2ad zenon_H2b1 zenon_H30e zenon_H32b zenon_H2e7 zenon_H4c2 zenon_H32e zenon_H2fd zenon_H2fb zenon_H2f6 zenon_H2f8 zenon_H328 zenon_H322 zenon_H321 zenon_H301 zenon_H30b zenon_H313 zenon_H316 zenon_H2ea zenon_H2e2 zenon_H2e6 zenon_H2d9 zenon_H2d1 zenon_H35d zenon_H360 zenon_H345 zenon_H355 zenon_H36e.
% 55.20/55.34 apply (zenon_and_s _ _ zenon_H77). zenon_intro zenon_H57. zenon_intro zenon_H78.
% 55.20/55.34 apply (zenon_and_s _ _ zenon_H78). zenon_intro zenon_H121. zenon_intro zenon_Hda.
% 55.20/55.34 apply (zenon_and_s _ _ zenon_Hda). zenon_intro zenon_Hdc. zenon_intro zenon_Hdb.
% 55.20/55.34 apply (zenon_and_s _ _ zenon_Hdb). zenon_intro zenon_Hde. zenon_intro zenon_Hdd.
% 55.20/55.34 apply (zenon_and_s _ _ zenon_Hdd). zenon_intro zenon_Hd5. zenon_intro zenon_Hdf.
% 55.20/55.34 apply (zenon_L1010_); trivial.
% 55.20/55.34 (* end of lemma zenon_L1011_ *)
% 55.20/55.34 assert (zenon_L1012_ : (((op2 (e20) (e22)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e23) (e22)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e22)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> ((op2 (e20) (e21)) = (e21)) -> (~((op2 (e20) (e23)) = (e20))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> ((e22) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> ((op1 (e11) (op1 (e11) (e13))) = (e13)) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> ((e12) = (op1 (op1 (op1 (e11) (e11)) (op1 (e11) (e11))) (op1 (e11) (e11)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> ((h2 (e13)) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((h2 (e12)) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> ((h2 (e11)) = (e21)) -> (~((h2 (op1 (e13) (e12))) = (op2 (h2 (e13)) (h2 (e12))))) -> (~((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) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e12))\/((op1 (e11) (e10)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> ((op1 (e11) (op1 (e11) (e10))) = (e10)) -> ((op1 (e12) (e10)) = (e10)) -> (~((op1 (e12) (e12)) = (e11))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> ((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) -> ((e10) = (op1 (e11) (e11))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> ((op2 (e20) (e22)) = (e20)) -> (((op2 (e23) (e22)) = (e20))\/(((op2 (e23) (e22)) = (e21))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e22)) = (e23))))) -> (((op2 (e22) (e22)) = (e20))\/(((op2 (e22) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e22)) = (e23))))) -> ((op2 (e22) (e20)) = (e20)) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> (~((op2 (e22) (e22)) = (e21))) -> ((op2 (e21) (e22)) = (e22)) -> ((op2 (e21) (op2 (e21) (e22))) = (e22)) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> ((e23) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((op2 (e20) (e20)) = (e23)) -> ((e20) = (op2 (e21) (e21))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> False).
% 55.20/55.35 do 0 intro. intros zenon_H43a zenon_H98 zenon_H9f zenon_H3a8 zenon_H3c2 zenon_Hb9 zenon_Had zenon_H489 zenon_H3f zenon_H67 zenon_H1a0 zenon_H29e zenon_H1f4 zenon_H155 zenon_H179 zenon_H461 zenon_H44f zenon_H270 zenon_H534 zenon_H18e zenon_H18f zenon_H325 zenon_H15f zenon_H14b zenon_H180 zenon_H172 zenon_H1da zenon_H1de zenon_H292 zenon_H293 zenon_H23f zenon_H1cc zenon_H1d8 zenon_H186 zenon_H154 zenon_H15a zenon_H2c9 zenon_H358 zenon_H1fa zenon_H17 zenon_H1e zenon_H15 zenon_H13 zenon_H25 zenon_H3cb zenon_H57 zenon_H3f4 zenon_H100 zenon_H121 zenon_H37d zenon_H101 zenon_Hd4 zenon_H481 zenon_H40c zenon_H3b zenon_Ha8 zenon_H33 zenon_Hfc.
% 55.20/55.35 apply (zenon_or_s _ _ zenon_H43a); [ zenon_intro zenon_H97 | zenon_intro zenon_H43b ].
% 55.20/55.35 apply (zenon_L26_); trivial.
% 55.20/55.35 apply (zenon_or_s _ _ zenon_H43b); [ zenon_intro zenon_H38e | zenon_intro zenon_H43c ].
% 55.20/55.35 apply (zenon_L590_); trivial.
% 55.20/55.35 apply (zenon_or_s _ _ zenon_H43c); [ zenon_intro zenon_Hf6 | zenon_intro zenon_Hfb ].
% 55.20/55.35 apply (zenon_L989_); trivial.
% 55.20/55.35 apply (zenon_L799_); trivial.
% 55.20/55.35 (* end of lemma zenon_L1012_ *)
% 55.20/55.35 assert (zenon_L1013_ : (((op2 (e20) (e20)) = (e20))\/(((op2 (e20) (e21)) = (e20))\/(((op2 (e20) (e22)) = (e20))\/((op2 (e20) (e23)) = (e20))))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> ((e23) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((e20) = (op2 (e21) (e21))) -> ((e22) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((e20) = (e22))) -> (((op2 (e23) (e20)) = (e22))\/(((op2 (e23) (e21)) = (e22))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e20) (e21)) = (e23))\/(((op2 (e20) (e22)) = (e23))\/((op2 (e20) (e23)) = (e23))))) -> ((op2 (e21) (op2 (e21) (e23))) = (e23)) -> (~((op2 (e21) (e22)) = (op2 (e21) (e23)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> ((op2 (e20) (e21)) = (e21)) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> ((op2 (e21) (op2 (e21) (e22))) = (e22)) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e21)) = (e22))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (((op2 (e21) (e20)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/((op2 (e21) (e23)) = (e23))))) -> (((op2 (e20) (e22)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e23) (e22)) = (e23))))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> ((op1 (e11) (op1 (e11) (e13))) = (e13)) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> ((e12) = (op1 (op1 (op1 (e11) (e11)) (op1 (e11) (e11))) (op1 (e11) (e11)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> ((h2 (e13)) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((h2 (e12)) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> ((h2 (e11)) = (e21)) -> (~((h2 (op1 (e13) (e12))) = (op2 (h2 (e13)) (h2 (e12))))) -> (~((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) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e12))\/((op1 (e11) (e10)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> ((op1 (e11) (op1 (e11) (e10))) = (e10)) -> ((op1 (e12) (e10)) = (e10)) -> (~((op1 (e12) (e12)) = (e11))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> ((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) -> ((e10) = (op1 (e11) (e11))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e23) (e22)) = (e20))\/(((op2 (e23) (e22)) = (e21))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e22)) = (e23))))) -> (((op2 (e22) (e22)) = (e20))\/(((op2 (e22) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e22)) = (e23))))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> (~((op2 (e22) (e22)) = (e21))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e22)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> (~((op2 (e20) (e20)) = (e20))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e20)) = (e20))\/(((op2 (e22) (e20)) = (e20))\/((op2 (e23) (e20)) = (e20))))) -> (~((op2 (e20) (e23)) = (e20))) -> False).
% 55.20/55.35 do 0 intro. intros zenon_Hac zenon_H8d zenon_H6e zenon_H3b zenon_H33 zenon_H3f zenon_H67 zenon_H60 zenon_H4e2 zenon_H74 zenon_Ha5 zenon_H395 zenon_H47a zenon_H489 zenon_Hb9 zenon_H3c2 zenon_H3a8 zenon_H481 zenon_H3b4 zenon_H116 zenon_H3b1 zenon_H39d zenon_H282 zenon_H3af zenon_H45 zenon_H399 zenon_H43a zenon_H1a0 zenon_H29e zenon_H1f4 zenon_H155 zenon_H179 zenon_H461 zenon_H44f zenon_H270 zenon_H534 zenon_H18e zenon_H18f zenon_H325 zenon_H15f zenon_H14b zenon_H180 zenon_H172 zenon_H1da zenon_H1de zenon_H292 zenon_H293 zenon_H23f zenon_H1cc zenon_H1d8 zenon_H186 zenon_H154 zenon_H15a zenon_H2c9 zenon_H358 zenon_H1fa zenon_H17 zenon_H1e zenon_H15 zenon_H13 zenon_H25 zenon_H3cb zenon_H3f4 zenon_H100 zenon_H37d zenon_H101 zenon_H40c zenon_Hfc zenon_H437 zenon_H3e zenon_H4ae zenon_H93 zenon_H98 zenon_H9f zenon_H32 zenon_H31 zenon_H4e6 zenon_Had.
% 55.20/55.35 apply (zenon_or_s _ _ zenon_Hac); [ zenon_intro zenon_H2d | zenon_intro zenon_Hae ].
% 55.20/55.35 exact (zenon_H31 zenon_H2d).
% 55.20/55.35 apply (zenon_or_s _ _ zenon_Hae); [ zenon_intro zenon_H51 | zenon_intro zenon_Haf ].
% 55.20/55.35 apply (zenon_L24_); trivial.
% 55.20/55.35 apply (zenon_or_s _ _ zenon_Haf); [ zenon_intro zenon_H57 | zenon_intro zenon_H8b ].
% 55.20/55.35 apply (zenon_or_s _ _ zenon_H4e6); [ zenon_intro zenon_H2d | zenon_intro zenon_H4e7 ].
% 55.20/55.35 exact (zenon_H31 zenon_H2d).
% 55.20/55.35 apply (zenon_or_s _ _ zenon_H4e7); [ zenon_intro zenon_H34 | zenon_intro zenon_H4e8 ].
% 55.20/55.35 apply (zenon_L6_); trivial.
% 55.20/55.35 apply (zenon_or_s _ _ zenon_H4e8); [ zenon_intro zenon_H121 | zenon_intro zenon_H80 ].
% 55.20/55.35 apply (zenon_or_s _ _ zenon_Ha5); [ zenon_intro zenon_Ha8 | zenon_intro zenon_Ha7 ].
% 55.20/55.35 apply (zenon_or_s _ _ zenon_H4ae); [ zenon_intro zenon_H40 | zenon_intro zenon_H4af ].
% 55.20/55.35 apply (zenon_L8_); trivial.
% 55.20/55.35 apply (zenon_or_s _ _ zenon_H4af); [ zenon_intro zenon_H401 | zenon_intro zenon_H4b0 ].
% 55.20/55.35 apply (zenon_or_s _ _ zenon_H43a); [ zenon_intro zenon_H97 | zenon_intro zenon_H43b ].
% 55.20/55.35 apply (zenon_L26_); trivial.
% 55.20/55.35 apply (zenon_or_s _ _ zenon_H43b); [ zenon_intro zenon_H38e | zenon_intro zenon_H43c ].
% 55.20/55.35 apply (zenon_L449_); trivial.
% 55.20/55.35 apply (zenon_or_s _ _ zenon_H43c); [ zenon_intro zenon_Hf6 | zenon_intro zenon_Hfb ].
% 55.20/55.35 apply (zenon_L989_); trivial.
% 55.20/55.35 apply (zenon_L450_); trivial.
% 55.20/55.35 apply (zenon_or_s _ _ zenon_H4b0); [ zenon_intro zenon_Hd4 | zenon_intro zenon_H478 ].
% 55.20/55.35 apply (zenon_L1012_); trivial.
% 55.20/55.35 apply (zenon_L712_); trivial.
% 55.20/55.35 apply (zenon_or_s _ _ zenon_Ha7); [ zenon_intro zenon_H92 | zenon_intro zenon_Ha9 ].
% 55.20/55.35 apply (zenon_L25_); trivial.
% 55.20/55.35 apply (zenon_or_s _ _ zenon_Ha9); [ zenon_intro zenon_H97 | zenon_intro zenon_H9e ].
% 55.20/55.35 apply (zenon_L26_); trivial.
% 55.20/55.35 apply (zenon_L27_); trivial.
% 55.20/55.35 apply (zenon_L736_); trivial.
% 55.20/55.35 exact (zenon_Had zenon_H8b).
% 55.20/55.35 (* end of lemma zenon_L1013_ *)
% 55.20/55.35 assert (zenon_L1014_ : (((op1 (e10) (e12)) = (e10))/\(((op1 (e12) (e10)) = (e10))/\(((~((op1 (e12) (e10)) = (e12)))\/(~((op1 (e12) (e12)) = (e10))))/\(((~((op1 (e12) (e11)) = (e12)))\/(~((op1 (e12) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13))))))))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e20) (e21)) = (e20))\/(((op2 (e20) (e22)) = (e20))\/((op2 (e20) (e23)) = (e20))))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> ((e23) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((e20) = (op2 (e21) (e21))) -> ((e22) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((e20) = (e22))) -> (((op2 (e23) (e20)) = (e22))\/(((op2 (e23) (e21)) = (e22))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e20) (e21)) = (e23))\/(((op2 (e20) (e22)) = (e23))\/((op2 (e20) (e23)) = (e23))))) -> ((op2 (e21) (op2 (e21) (e23))) = (e23)) -> (~((op2 (e21) (e22)) = (op2 (e21) (e23)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> ((op2 (e20) (e21)) = (e21)) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> ((op2 (e21) (op2 (e21) (e22))) = (e22)) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e21)) = (e22))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (((op2 (e21) (e20)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/((op2 (e21) (e23)) = (e23))))) -> (((op2 (e20) (e22)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e23) (e22)) = (e23))))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> ((op1 (e11) (op1 (e11) (e13))) = (e13)) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> ((e12) = (op1 (op1 (op1 (e11) (e11)) (op1 (e11) (e11))) (op1 (e11) (e11)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> ((h2 (e13)) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((h2 (e12)) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> ((h2 (e11)) = (e21)) -> (~((h2 (op1 (e13) (e12))) = (op2 (h2 (e13)) (h2 (e12))))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e12))\/((op1 (e11) (e10)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> ((op1 (e11) (op1 (e11) (e10))) = (e10)) -> (~((op1 (e12) (e12)) = (e11))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> ((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) -> ((e10) = (op1 (e11) (e11))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e23) (e22)) = (e20))\/(((op2 (e23) (e22)) = (e21))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e22)) = (e23))))) -> (((op2 (e22) (e22)) = (e20))\/(((op2 (e22) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e22)) = (e23))))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> (~((op2 (e22) (e22)) = (e21))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e22)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> (~((op2 (e20) (e20)) = (e20))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e20)) = (e20))\/(((op2 (e22) (e20)) = (e20))\/((op2 (e23) (e20)) = (e20))))) -> (~((op2 (e20) (e23)) = (e20))) -> False).
% 55.20/55.35 do 0 intro. intros zenon_H197 zenon_Hac zenon_H8d zenon_H6e zenon_H3b zenon_H33 zenon_H3f zenon_H67 zenon_H60 zenon_H4e2 zenon_H74 zenon_Ha5 zenon_H395 zenon_H47a zenon_H489 zenon_Hb9 zenon_H3c2 zenon_H3a8 zenon_H481 zenon_H3b4 zenon_H116 zenon_H3b1 zenon_H39d zenon_H282 zenon_H3af zenon_H45 zenon_H399 zenon_H43a zenon_H1a0 zenon_H29e zenon_H1f4 zenon_H155 zenon_H179 zenon_H461 zenon_H44f zenon_H270 zenon_H534 zenon_H18e zenon_H325 zenon_H15f zenon_H14b zenon_H180 zenon_H172 zenon_H1da zenon_H1de zenon_H292 zenon_H23f zenon_H1cc zenon_H1d8 zenon_H186 zenon_H154 zenon_H15a zenon_H2c9 zenon_H358 zenon_H1fa zenon_H17 zenon_H1e zenon_H15 zenon_H13 zenon_H25 zenon_H3cb zenon_H3f4 zenon_H100 zenon_H37d zenon_H101 zenon_H40c zenon_Hfc zenon_H437 zenon_H3e zenon_H4ae zenon_H93 zenon_H98 zenon_H9f zenon_H32 zenon_H31 zenon_H4e6 zenon_Had.
% 55.20/55.35 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_H18f. zenon_intro zenon_H198.
% 55.20/55.35 apply (zenon_and_s _ _ zenon_H198). zenon_intro zenon_H293. zenon_intro zenon_H227.
% 55.20/55.35 apply (zenon_L1013_); trivial.
% 55.20/55.35 (* end of lemma zenon_L1014_ *)
% 55.20/55.35 assert (zenon_L1015_ : (((op2 (e20) (e22)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e23) (e22)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e22)))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> ((op2 (e20) (e20)) = (e23)) -> ((e22) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> ((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) -> ((e10) = (op1 (e11) (e11))) -> ((e12) = (op1 (op1 (op1 (e11) (e11)) (op1 (e11) (e11))) (op1 (e11) (e11)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((e10) = (e12))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e10)) = (e12))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e13) (e10)) = (e12))))) -> (~((op1 (e10) (e10)) = (e12))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> ((op1 (e11) (op1 (e11) (e13))) = (e13)) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> ((h2 (e13)) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((h2 (e12)) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> ((h2 (e11)) = (e21)) -> (~((h2 (op1 (e13) (e12))) = (op2 (h2 (e13)) (h2 (e12))))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> ((op1 (e11) (op1 (e11) (e10))) = (e10)) -> ((op1 (e11) (e10)) = (e11)) -> (~((op1 (e12) (e12)) = (e11))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (~((op1 (e10) (e10)) = (e10))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (~((op1 (e10) (e13)) = (e10))) -> ((op2 (e20) (e22)) = (e20)) -> (((op2 (e23) (e22)) = (e20))\/(((op2 (e23) (e22)) = (e21))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e22)) = (e23))))) -> ((e23) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((op2 (e21) (e21)) = (e22)) -> ((e20) = (op2 (e21) (e21))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> False).
% 55.20/55.35 do 0 intro. intros zenon_H43a zenon_H98 zenon_H437 zenon_Hfc zenon_Ha8 zenon_H3f zenon_H67 zenon_H246 zenon_H19d zenon_H180 zenon_H15 zenon_H13 zenon_H155 zenon_H179 zenon_H172 zenon_H16c zenon_H186 zenon_H4c3 zenon_H4c4 zenon_H21a zenon_H1a0 zenon_H29e zenon_H1f4 zenon_H461 zenon_H44f zenon_H270 zenon_H534 zenon_H18e zenon_H325 zenon_H1da zenon_H1de zenon_H292 zenon_H163 zenon_H23f zenon_H1cc zenon_H1d8 zenon_H2c9 zenon_H358 zenon_H154 zenon_H1fa zenon_H17 zenon_H1e zenon_H25 zenon_H14b zenon_H146 zenon_H4df zenon_H25f zenon_H57 zenon_H3f4 zenon_H3b zenon_H401 zenon_H33 zenon_H3cb.
% 55.20/55.35 apply (zenon_or_s _ _ zenon_H43a); [ zenon_intro zenon_H97 | zenon_intro zenon_H43b ].
% 55.20/55.35 apply (zenon_L26_); trivial.
% 55.20/55.35 apply (zenon_or_s _ _ zenon_H43b); [ zenon_intro zenon_H38e | zenon_intro zenon_H43c ].
% 55.20/55.35 apply (zenon_L449_); trivial.
% 55.20/55.35 apply (zenon_or_s _ _ zenon_H43c); [ zenon_intro zenon_Hf6 | zenon_intro zenon_Hfb ].
% 55.20/55.35 apply (zenon_L994_); trivial.
% 55.20/55.35 apply (zenon_L450_); trivial.
% 55.20/55.35 (* end of lemma zenon_L1015_ *)
% 55.20/55.35 assert (zenon_L1016_ : (((op2 (e20) (e22)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e23) (e22)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e22)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> ((op2 (e20) (e21)) = (e21)) -> (~((op2 (e20) (e23)) = (e20))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> ((e22) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> ((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) -> ((e10) = (op1 (e11) (e11))) -> ((e12) = (op1 (op1 (op1 (e11) (e11)) (op1 (e11) (e11))) (op1 (e11) (e11)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((e10) = (e12))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e10)) = (e12))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e13) (e10)) = (e12))))) -> (~((op1 (e10) (e10)) = (e12))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> ((op1 (e11) (op1 (e11) (e13))) = (e13)) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> ((h2 (e13)) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((h2 (e12)) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> ((h2 (e11)) = (e21)) -> (~((h2 (op1 (e13) (e12))) = (op2 (h2 (e13)) (h2 (e12))))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> ((op1 (e11) (op1 (e11) (e10))) = (e10)) -> ((op1 (e11) (e10)) = (e11)) -> (~((op1 (e12) (e12)) = (e11))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (~((op1 (e10) (e10)) = (e10))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (~((op1 (e10) (e13)) = (e10))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> ((op2 (e20) (e22)) = (e20)) -> (((op2 (e23) (e22)) = (e20))\/(((op2 (e23) (e22)) = (e21))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e22)) = (e23))))) -> (((op2 (e22) (e22)) = (e20))\/(((op2 (e22) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e22)) = (e23))))) -> ((op2 (e22) (e20)) = (e20)) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> (~((op2 (e22) (e22)) = (e21))) -> ((op2 (e21) (e22)) = (e22)) -> ((op2 (e21) (op2 (e21) (e22))) = (e22)) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> ((e23) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((op2 (e20) (e20)) = (e23)) -> ((e20) = (op2 (e21) (e21))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> False).
% 55.20/55.35 do 0 intro. intros zenon_H43a zenon_H98 zenon_H9f zenon_H3a8 zenon_H3c2 zenon_Hb9 zenon_Had zenon_H489 zenon_H3f zenon_H67 zenon_H246 zenon_H19d zenon_H180 zenon_H15 zenon_H13 zenon_H155 zenon_H179 zenon_H172 zenon_H16c zenon_H186 zenon_H4c3 zenon_H4c4 zenon_H21a zenon_H1a0 zenon_H29e zenon_H1f4 zenon_H461 zenon_H44f zenon_H270 zenon_H534 zenon_H18e zenon_H325 zenon_H1da zenon_H1de zenon_H292 zenon_H163 zenon_H23f zenon_H1cc zenon_H1d8 zenon_H2c9 zenon_H358 zenon_H154 zenon_H1fa zenon_H17 zenon_H1e zenon_H25 zenon_H14b zenon_H146 zenon_H4df zenon_H25f zenon_H3cb zenon_H57 zenon_H3f4 zenon_H100 zenon_H121 zenon_H37d zenon_H101 zenon_Hd4 zenon_H481 zenon_H40c zenon_H3b zenon_Ha8 zenon_H33 zenon_Hfc.
% 55.20/55.35 apply (zenon_or_s _ _ zenon_H43a); [ zenon_intro zenon_H97 | zenon_intro zenon_H43b ].
% 55.20/55.35 apply (zenon_L26_); trivial.
% 55.20/55.35 apply (zenon_or_s _ _ zenon_H43b); [ zenon_intro zenon_H38e | zenon_intro zenon_H43c ].
% 55.20/55.35 apply (zenon_L590_); trivial.
% 55.20/55.35 apply (zenon_or_s _ _ zenon_H43c); [ zenon_intro zenon_Hf6 | zenon_intro zenon_Hfb ].
% 55.20/55.35 apply (zenon_L994_); trivial.
% 55.20/55.35 apply (zenon_L799_); trivial.
% 55.20/55.35 (* end of lemma zenon_L1016_ *)
% 55.20/55.35 assert (zenon_L1017_ : ((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12)))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e20) (e21)) = (e20))\/(((op2 (e20) (e22)) = (e20))\/((op2 (e20) (e23)) = (e20))))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e20) (e21)) = (e23))\/(((op2 (e20) (e22)) = (e23))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> ((e22) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> ((e23) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> (((op2 (e20) (e22)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e23) (e22)) = (e23))))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e10)) = (e12))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e13) (e10)) = (e12))))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e11) (op1 (e11) (e13))) = (e13)) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> ((op1 (e11) (op1 (e11) (e10))) = (e10)) -> ((op1 (e11) (e10)) = (e11)) -> (~((op1 (e12) (e12)) = (e11))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> ((h2 (e12)) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> ((h2 (e13)) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((h2 (e11)) = (e21)) -> (~((h2 (op1 (e13) (e12))) = (op2 (h2 (e13)) (h2 (e12))))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> ((e12) = (op1 (op1 (op1 (e11) (e11)) (op1 (e11) (e11))) (op1 (e11) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((e10) = (e12))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e23) (e22)) = (e20))\/(((op2 (e23) (e22)) = (e21))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e22)) = (e23))))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e22)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> (~((op2 (e22) (e22)) = (e21))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (((op2 (e22) (e22)) = (e20))\/(((op2 (e22) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e22)) = (e23))))) -> (~((op2 (e20) (e23)) = (e20))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> ((op2 (e20) (e21)) = (e21)) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> ((op2 (e21) (op2 (e21) (e22))) = (e22)) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (((op2 (e21) (e20)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/((op2 (e21) (e23)) = (e23))))) -> (~((op2 (e21) (e22)) = (op2 (e21) (e23)))) -> ((op2 (e21) (op2 (e21) (e23))) = (e23)) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e21)) = (e22))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> (((op2 (e20) (e20)) = (e22))\/(((op2 (e21) (e20)) = (e22))\/(((op2 (e22) (e20)) = (e22))\/((op2 (e23) (e20)) = (e22))))) -> (~((e20) = (e22))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e20) (e20)) = (e22))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e20)) = (e20))\/(((op2 (e22) (e20)) = (e20))\/((op2 (e23) (e20)) = (e20))))) -> ((e20) = (op2 (e21) (e21))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> (~((op2 (e20) (e20)) = (e20))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> ((e10) = (op1 (e11) (e11))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (~((op1 (e10) (e10)) = (e10))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> ((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> ((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))) -> False).
% 55.20/55.35 do 0 intro. intros zenon_H25e zenon_Hac zenon_H32 zenon_Ha5 zenon_H93 zenon_H3e zenon_H3f zenon_H3b zenon_H43a zenon_H3cb zenon_H14b zenon_H4c3 zenon_H1fa zenon_H1f4 zenon_H29e zenon_H1de zenon_H292 zenon_H163 zenon_H23f zenon_H1cc zenon_H1da zenon_H358 zenon_H325 zenon_H1d8 zenon_H179 zenon_H44f zenon_H461 zenon_H270 zenon_H534 zenon_H18e zenon_H2c9 zenon_H21a zenon_H155 zenon_H154 zenon_H186 zenon_H180 zenon_H172 zenon_H16c zenon_H4df zenon_H67 zenon_Hfc zenon_H3f4 zenon_H437 zenon_H98 zenon_H37d zenon_H101 zenon_H40c zenon_H100 zenon_Had zenon_H3c2 zenon_Hb9 zenon_H3a8 zenon_H481 zenon_H9f zenon_H489 zenon_H399 zenon_H47a zenon_H395 zenon_H116 zenon_H3b1 zenon_H3af zenon_H60 zenon_H282 zenon_H39d zenon_H3b4 zenon_H45 zenon_H4ae zenon_Hb7 zenon_H4e2 zenon_Hb0 zenon_Hbd zenon_H4e6 zenon_H33 zenon_H8d zenon_H31 zenon_H246 zenon_H13 zenon_H19d zenon_H146 zenon_H1a0 zenon_H25 zenon_H1e zenon_H15 zenon_H17 zenon_H25d.
% 55.20/55.35 apply (zenon_or_s _ _ zenon_H25e); [ zenon_intro zenon_H458 | zenon_intro zenon_H4c4 ].
% 55.20/55.35 apply (zenon_L629_); trivial.
% 55.20/55.35 apply (zenon_or_s _ _ zenon_H25d); [ zenon_intro zenon_H25f | zenon_intro zenon_H1a1 ].
% 55.20/55.35 apply (zenon_or_s _ _ zenon_Hac); [ zenon_intro zenon_H2d | zenon_intro zenon_Hae ].
% 55.20/55.35 exact (zenon_H31 zenon_H2d).
% 55.20/55.35 apply (zenon_or_s _ _ zenon_Hae); [ zenon_intro zenon_H51 | zenon_intro zenon_Haf ].
% 55.20/55.35 apply (zenon_L24_); trivial.
% 55.20/55.35 apply (zenon_or_s _ _ zenon_Haf); [ zenon_intro zenon_H57 | zenon_intro zenon_H8b ].
% 55.20/55.35 apply (zenon_or_s _ _ zenon_H4e6); [ zenon_intro zenon_H2d | zenon_intro zenon_H4e7 ].
% 55.20/55.35 exact (zenon_H31 zenon_H2d).
% 55.20/55.35 apply (zenon_or_s _ _ zenon_H4e7); [ zenon_intro zenon_H34 | zenon_intro zenon_H4e8 ].
% 55.20/55.35 apply (zenon_L6_); trivial.
% 55.20/55.35 apply (zenon_or_s _ _ zenon_H4e8); [ zenon_intro zenon_H121 | zenon_intro zenon_H80 ].
% 55.20/55.35 apply (zenon_or_s _ _ zenon_Ha5); [ zenon_intro zenon_Ha8 | zenon_intro zenon_Ha7 ].
% 55.20/55.35 apply (zenon_or_s _ _ zenon_H4ae); [ zenon_intro zenon_H40 | zenon_intro zenon_H4af ].
% 55.20/55.35 apply (zenon_L8_); trivial.
% 55.20/55.35 apply (zenon_or_s _ _ zenon_H4af); [ zenon_intro zenon_H401 | zenon_intro zenon_H4b0 ].
% 55.20/55.35 apply (zenon_L1015_); trivial.
% 55.20/55.35 apply (zenon_or_s _ _ zenon_H4b0); [ zenon_intro zenon_Hd4 | zenon_intro zenon_H478 ].
% 55.20/55.35 apply (zenon_L1016_); trivial.
% 55.20/55.35 apply (zenon_L712_); trivial.
% 55.20/55.35 apply (zenon_or_s _ _ zenon_Ha7); [ zenon_intro zenon_H92 | zenon_intro zenon_Ha9 ].
% 55.20/55.35 apply (zenon_L25_); trivial.
% 55.20/55.35 apply (zenon_or_s _ _ zenon_Ha9); [ zenon_intro zenon_H97 | zenon_intro zenon_H9e ].
% 55.20/55.35 apply (zenon_L26_); trivial.
% 55.20/55.35 apply (zenon_L27_); trivial.
% 55.20/55.35 apply (zenon_L738_); trivial.
% 55.20/55.35 exact (zenon_Had zenon_H8b).
% 55.20/55.35 apply (zenon_L79_); trivial.
% 55.20/55.35 (* end of lemma zenon_L1017_ *)
% 55.20/55.35 assert (zenon_L1018_ : (((op1 (e11) (e10)) = (e11))/\(((op1 (e10) (e11)) = (e11))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11))))/\(((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12))))/\((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13))))))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> ((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> ((e10) = (op1 (e11) (e11))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (~((op2 (e20) (e20)) = (e20))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> ((e20) = (op2 (e21) (e21))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e20)) = (e20))\/(((op2 (e22) (e20)) = (e20))\/((op2 (e23) (e20)) = (e20))))) -> (~((op2 (e20) (e20)) = (e22))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> (~((e20) = (e22))) -> (((op2 (e20) (e20)) = (e22))\/(((op2 (e21) (e20)) = (e22))\/(((op2 (e22) (e20)) = (e22))\/((op2 (e23) (e20)) = (e22))))) -> (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e21)) = (e22))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> ((op2 (e21) (op2 (e21) (e23))) = (e23)) -> (~((op2 (e21) (e22)) = (op2 (e21) (e23)))) -> (((op2 (e21) (e20)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/((op2 (e21) (e23)) = (e23))))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> ((op2 (e21) (op2 (e21) (e22))) = (e22)) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> ((op2 (e20) (e21)) = (e21)) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e23)) = (e20))) -> (((op2 (e22) (e22)) = (e20))\/(((op2 (e22) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e22)) = (e23))))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e22) (e22)) = (e21))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e22)))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (((op2 (e23) (e22)) = (e20))\/(((op2 (e23) (e22)) = (e21))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e22)) = (e23))))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (~((e10) = (e12))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> ((e12) = (op1 (op1 (op1 (e11) (e11)) (op1 (e11) (e11))) (op1 (e11) (e11)))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((h2 (op1 (e13) (e12))) = (op2 (h2 (e13)) (h2 (e12))))) -> ((h2 (e11)) = (e21)) -> ((h2 (e13)) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((h2 (e12)) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e12)) = (e11))) -> ((op1 (e11) (op1 (e11) (e10))) = (e10)) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> ((op1 (e11) (op1 (e11) (e13))) = (e13)) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e10)) = (e12))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e13) (e10)) = (e12))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e20) (e22)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e23) (e22)) = (e23))))) -> ((e23) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((e22) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e20) (e21)) = (e23))\/(((op2 (e20) (e22)) = (e23))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e20) (e21)) = (e20))\/(((op2 (e20) (e22)) = (e20))\/((op2 (e20) (e23)) = (e20))))) -> False).
% 55.20/55.35 do 0 intro. intros zenon_H259 zenon_H17 zenon_H15 zenon_H1e zenon_H25 zenon_H1a0 zenon_H19d zenon_H13 zenon_H246 zenon_H31 zenon_H8d zenon_H33 zenon_H4e6 zenon_Hbd zenon_Hb0 zenon_H4e2 zenon_Hb7 zenon_H4ae zenon_H45 zenon_H3b4 zenon_H39d zenon_H282 zenon_H60 zenon_H3af zenon_H3b1 zenon_H116 zenon_H395 zenon_H47a zenon_H399 zenon_H489 zenon_H9f zenon_H481 zenon_H3a8 zenon_Hb9 zenon_H3c2 zenon_Had zenon_H100 zenon_H40c zenon_H101 zenon_H37d zenon_H98 zenon_H437 zenon_H3f4 zenon_Hfc zenon_H67 zenon_H4df zenon_H16c zenon_H172 zenon_H180 zenon_H186 zenon_H154 zenon_H155 zenon_H21a zenon_H2c9 zenon_H18e zenon_H534 zenon_H270 zenon_H461 zenon_H44f zenon_H179 zenon_H1d8 zenon_H325 zenon_H358 zenon_H1da zenon_H1cc zenon_H23f zenon_H292 zenon_H1de zenon_H29e zenon_H1f4 zenon_H1fa zenon_H4c3 zenon_H14b zenon_H3cb zenon_H43a zenon_H3b zenon_H3f zenon_H3e zenon_H93 zenon_Ha5 zenon_H32 zenon_Hac.
% 55.20/55.35 apply (zenon_and_s _ _ zenon_H259). zenon_intro zenon_H163. zenon_intro zenon_H25a.
% 55.20/55.35 apply (zenon_and_s _ _ zenon_H25a). zenon_intro zenon_H1fe. zenon_intro zenon_H149.
% 55.20/55.35 apply (zenon_and_s _ _ zenon_H149). zenon_intro zenon_H144. zenon_intro zenon_H14a.
% 55.20/55.35 apply (zenon_and_s _ _ zenon_H14a). zenon_intro zenon_H25c. zenon_intro zenon_H25b.
% 55.20/55.35 apply (zenon_and_s _ _ zenon_H25b). zenon_intro zenon_H25e. zenon_intro zenon_H25d.
% 55.20/55.35 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_H146 | zenon_intro zenon_H146 ].
% 55.20/55.35 apply (zenon_L1017_); trivial.
% 55.20/55.35 apply (zenon_L1017_); trivial.
% 55.20/55.35 (* end of lemma zenon_L1018_ *)
% 55.20/55.35 assert (zenon_L1019_ : ((((op1 (e10) (e10)) = (e10))/\(((op1 (e10) (e10)) = (e10))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11))))/\(((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12))))/\((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))))))))\/((((op1 (e10) (e11)) = (e10))/\(((op1 (e11) (e10)) = (e10))/\(((~((op1 (e11) (e10)) = (e11)))\/(~((op1 (e11) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e11) (e12)) = (e11)))\/(~((op1 (e11) (e11)) = (e12))))/\((~((op1 (e11) (e13)) = (e11)))\/(~((op1 (e11) (e11)) = (e13)))))))))\/((((op1 (e10) (e12)) = (e10))/\(((op1 (e12) (e10)) = (e10))/\(((~((op1 (e12) (e10)) = (e12)))\/(~((op1 (e12) (e12)) = (e10))))/\(((~((op1 (e12) (e11)) = (e12)))\/(~((op1 (e12) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13)))))))))\/((((op1 (e10) (e13)) = (e10))/\(((op1 (e13) (e10)) = (e10))/\(((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e13) (e13)) = (e10))))/\(((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11))))/\(((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e13) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13)))))))))\/((((op1 (e11) (e10)) = (e11))/\(((op1 (e10) (e11)) = (e11))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11))))/\(((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12))))/\((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))))))))\/((((op1 (e11) (e11)) = (e11))/\(((op1 (e11) (e11)) = (e11))/\(((~((op1 (e11) (e10)) = (e11)))\/(~((op1 (e11) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e11) (e12)) = (e11)))\/(~((op1 (e11) (e11)) = (e12))))/\((~((op1 (e11) (e13)) = (e11)))\/(~((op1 (e11) (e11)) = (e13)))))))))\/((((op1 (e11) (e12)) = (e11))/\(((op1 (e12) (e11)) = (e11))/\(((~((op1 (e12) (e10)) = (e12)))\/(~((op1 (e12) (e12)) = (e10))))/\(((~((op1 (e12) (e11)) = (e12)))\/(~((op1 (e12) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13)))))))))\/((((op1 (e11) (e13)) = (e11))/\(((op1 (e13) (e11)) = (e11))/\(((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e13) (e13)) = (e10))))/\(((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11))))/\(((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e13) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13)))))))))\/((((op1 (e12) (e10)) = (e12))/\(((op1 (e10) (e12)) = (e12))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11))))/\(((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12))))/\((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))))))))\/((((op1 (e12) (e11)) = (e12))/\(((op1 (e11) (e12)) = (e12))/\(((~((op1 (e11) (e10)) = (e11)))\/(~((op1 (e11) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e11) (e12)) = (e11)))\/(~((op1 (e11) (e11)) = (e12))))/\((~((op1 (e11) (e13)) = (e11)))\/(~((op1 (e11) (e11)) = (e13)))))))))\/((((op1 (e12) (e12)) = (e12))/\(((op1 (e12) (e12)) = (e12))/\(((~((op1 (e12) (e10)) = (e12)))\/(~((op1 (e12) (e12)) = (e10))))/\(((~((op1 (e12) (e11)) = (e12)))\/(~((op1 (e12) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13)))))))))\/((((op1 (e12) (e13)) = (e12))/\(((op1 (e13) (e12)) = (e12))/\(((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e13) (e13)) = (e10))))/\(((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11))))/\(((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e13) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13)))))))))\/((((op1 (e13) (e10)) = (e13))/\(((op1 (e10) (e13)) = (e13))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11))))/\(((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12))))/\((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))))))))\/((((op1 (e13) (e11)) = (e13))/\(((op1 (e11) (e13)) = (e13))/\(((~((op1 (e11) (e10)) = (e11)))\/(~((op1 (e11) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e11) (e12)) = (e11)))\/(~((op1 (e11) (e11)) = (e12))))/\((~((op1 (e11) (e13)) = (e11)))\/(~((op1 (e11) (e11)) = (e13)))))))))\/((((op1 (e13) (e12)) = (e13))/\(((op1 (e12) (e13)) = (e13))/\(((~((op1 (e12) (e10)) = (e12)))\/(~((op1 (e12) (e12)) = (e10))))/\(((~((op1 (e12) (e11)) = (e12)))\/(~((op1 (e12) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13)))))))))\/(((op1 (e13) (e13)) = (e13))/\(((op1 (e13) (e13)) = (e13))/\(((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e13) (e13)) = (e10))))/\(((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11))))/\(((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e13) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13)))))))))))))))))))))))) -> (((op2 (e23) (e20)) = (e22))\/(((op2 (e23) (e21)) = (e22))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e20) (e21)) = (e20))\/(((op2 (e20) (e22)) = (e20))\/((op2 (e20) (e23)) = (e20))))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e20) (e21)) = (e23))\/(((op2 (e20) (e22)) = (e23))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> ((e22) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> ((e23) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> (((op2 (e20) (e22)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e23) (e22)) = (e23))))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e10)) = (e12))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e13) (e10)) = (e12))))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> ((op1 (e11) (op1 (e11) (e10))) = (e10)) -> (~((op1 (e12) (e12)) = (e11))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> ((h2 (e12)) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> ((h2 (e13)) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((h2 (e11)) = (e21)) -> (~((h2 (op1 (e13) (e12))) = (op2 (h2 (e13)) (h2 (e12))))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((e10) = (e12))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e23) (e22)) = (e20))\/(((op2 (e23) (e22)) = (e21))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e22)) = (e23))))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e22)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> (~((op2 (e22) (e22)) = (e21))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (((op2 (e22) (e22)) = (e20))\/(((op2 (e22) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e22)) = (e23))))) -> (~((op2 (e20) (e23)) = (e20))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> ((op2 (e20) (e21)) = (e21)) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> ((op2 (e21) (op2 (e21) (e22))) = (e22)) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (((op2 (e21) (e20)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/((op2 (e21) (e23)) = (e23))))) -> (~((op2 (e21) (e22)) = (op2 (e21) (e23)))) -> ((op2 (e21) (op2 (e21) (e23))) = (e23)) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e21)) = (e22))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> (((op2 (e20) (e20)) = (e22))\/(((op2 (e21) (e20)) = (e22))\/(((op2 (e22) (e20)) = (e22))\/((op2 (e23) (e20)) = (e22))))) -> (~((e20) = (e22))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e20) (e20)) = (e22))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e20)) = (e20))\/(((op2 (e22) (e20)) = (e20))\/((op2 (e23) (e20)) = (e20))))) -> ((e20) = (op2 (e21) (e21))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> (~((op2 (e20) (e20)) = (e20))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> ((op1 (e13) (e11)) = (e13)) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e12))\/((op1 (e11) (e10)) = (e13))))) -> ((e12) = (op1 (op1 (op1 (e11) (e11)) (op1 (e11) (e11))) (op1 (e11) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> ((op1 (e11) (op1 (e11) (e13))) = (e13)) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> ((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) -> ((e10) = (op1 (e11) (e11))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> False).
% 55.20/55.35 do 0 intro. intros zenon_H245 zenon_H74 zenon_H6e zenon_Hac zenon_H32 zenon_Ha5 zenon_H93 zenon_H3e zenon_H3f zenon_H3b zenon_H43a zenon_H3cb zenon_H4c3 zenon_H1fa zenon_H1de zenon_H292 zenon_H23f zenon_H1cc zenon_H1da zenon_H358 zenon_H325 zenon_H1d8 zenon_H44f zenon_H461 zenon_H270 zenon_H534 zenon_H18e zenon_H2c9 zenon_H186 zenon_H180 zenon_H172 zenon_H16c zenon_H4df zenon_H67 zenon_Hfc zenon_H3f4 zenon_H437 zenon_H98 zenon_H37d zenon_H101 zenon_H40c zenon_H100 zenon_Had zenon_H3c2 zenon_Hb9 zenon_H3a8 zenon_H481 zenon_H9f zenon_H489 zenon_H399 zenon_H47a zenon_H395 zenon_H116 zenon_H3b1 zenon_H3af zenon_H60 zenon_H282 zenon_H39d zenon_H3b4 zenon_H45 zenon_H4ae zenon_Hb7 zenon_H4e2 zenon_Hb0 zenon_Hbd zenon_H4e6 zenon_H33 zenon_H8d zenon_H31 zenon_H246 zenon_H19d zenon_H1a0 zenon_H1e zenon_H17 zenon_H1a9 zenon_H1c3 zenon_H18a zenon_H21a zenon_H179 zenon_H25 zenon_H15f zenon_H155 zenon_H154 zenon_H14b zenon_H29e zenon_H2c0 zenon_H1f4 zenon_H15 zenon_H13 zenon_H2b9 zenon_H15a zenon_H2c2.
% 55.20/55.35 apply (zenon_or_s _ _ zenon_H245); [ zenon_intro zenon_H147 | zenon_intro zenon_H254 ].
% 55.20/55.35 apply (zenon_L60_); trivial.
% 55.20/55.35 apply (zenon_or_s _ _ zenon_H254); [ zenon_intro zenon_H164 | zenon_intro zenon_H255 ].
% 55.20/55.35 apply (zenon_L66_); trivial.
% 55.20/55.35 apply (zenon_or_s _ _ zenon_H255); [ zenon_intro zenon_H197 | zenon_intro zenon_H256 ].
% 55.20/55.35 apply (zenon_L1014_); trivial.
% 55.20/55.35 apply (zenon_or_s _ _ zenon_H256); [ zenon_intro zenon_H199 | zenon_intro zenon_H257 ].
% 55.20/55.35 apply (zenon_L77_); trivial.
% 55.20/55.35 apply (zenon_or_s _ _ zenon_H257); [ zenon_intro zenon_H259 | zenon_intro zenon_H258 ].
% 55.20/55.35 apply (zenon_L1018_); trivial.
% 55.20/55.35 apply (zenon_or_s _ _ zenon_H258); [ zenon_intro zenon_H1a5 | zenon_intro zenon_H262 ].
% 55.20/55.35 apply (zenon_L80_); trivial.
% 55.20/55.35 apply (zenon_or_s _ _ zenon_H262); [ zenon_intro zenon_H1ae | zenon_intro zenon_H263 ].
% 55.20/55.35 apply (zenon_L83_); trivial.
% 55.20/55.35 apply (zenon_or_s _ _ zenon_H263); [ zenon_intro zenon_H212 | zenon_intro zenon_H264 ].
% 55.20/55.35 apply (zenon_L167_); trivial.
% 55.20/55.35 apply (zenon_or_s _ _ zenon_H264); [ zenon_intro zenon_H220 | zenon_intro zenon_H265 ].
% 55.20/55.35 apply (zenon_L110_); trivial.
% 55.20/55.35 apply (zenon_or_s _ _ zenon_H265); [ zenon_intro zenon_H222 | zenon_intro zenon_H266 ].
% 55.20/55.35 apply (zenon_L111_); trivial.
% 55.20/55.35 apply (zenon_or_s _ _ zenon_H266); [ zenon_intro zenon_H225 | zenon_intro zenon_H267 ].
% 55.20/55.35 apply (zenon_L113_); trivial.
% 55.20/55.35 apply (zenon_or_s _ _ zenon_H267); [ zenon_intro zenon_H22d | zenon_intro zenon_H268 ].
% 55.20/55.35 apply (zenon_L114_); trivial.
% 55.20/55.35 apply (zenon_or_s _ _ zenon_H268); [ zenon_intro zenon_H230 | zenon_intro zenon_H269 ].
% 55.20/55.35 apply (zenon_L115_); trivial.
% 55.20/55.35 apply (zenon_or_s _ _ zenon_H269); [ zenon_intro zenon_H232 | zenon_intro zenon_H26a ].
% 55.20/55.35 apply (zenon_L116_); trivial.
% 55.20/55.35 apply (zenon_or_s _ _ zenon_H26a); [ zenon_intro zenon_H240 | zenon_intro zenon_H242 ].
% 55.20/55.35 apply (zenon_L166_); trivial.
% 55.20/55.35 apply (zenon_L125_); trivial.
% 55.20/55.35 (* end of lemma zenon_L1019_ *)
% 55.20/55.35 assert (zenon_L1020_ : ((op1 (e11) (op1 (e11) (e13))) = (e13)) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e13) (e10)) = (e13))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> ((e12) = (op1 (op1 (op1 (e11) (e11)) (op1 (e11) (e11))) (op1 (e11) (e11)))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e12))\/((op1 (e11) (e10)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (~((op2 (e20) (e20)) = (e20))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> ((e20) = (op2 (e21) (e21))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e20)) = (e20))\/(((op2 (e22) (e20)) = (e20))\/((op2 (e23) (e20)) = (e20))))) -> (~((op2 (e20) (e20)) = (e22))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> (~((e20) = (e22))) -> (((op2 (e20) (e20)) = (e22))\/(((op2 (e21) (e20)) = (e22))\/(((op2 (e22) (e20)) = (e22))\/((op2 (e23) (e20)) = (e22))))) -> (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e21)) = (e22))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> ((op2 (e21) (op2 (e21) (e23))) = (e23)) -> (~((op2 (e21) (e22)) = (op2 (e21) (e23)))) -> (((op2 (e21) (e20)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/((op2 (e21) (e23)) = (e23))))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> ((op2 (e21) (op2 (e21) (e22))) = (e22)) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> ((op2 (e20) (e21)) = (e21)) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e23)) = (e20))) -> (((op2 (e22) (e22)) = (e20))\/(((op2 (e22) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e22)) = (e23))))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e22) (e22)) = (e21))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e22)))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (((op2 (e23) (e22)) = (e20))\/(((op2 (e23) (e22)) = (e21))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e22)) = (e23))))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (~((e10) = (e12))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((h2 (op1 (e13) (e12))) = (op2 (h2 (e13)) (h2 (e12))))) -> ((h2 (e11)) = (e21)) -> ((h2 (e13)) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((h2 (e12)) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e12)) = (e11))) -> ((op1 (e11) (op1 (e11) (e10))) = (e10)) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e10)) = (e12))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e13) (e10)) = (e12))))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e20) (e22)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e23) (e22)) = (e23))))) -> ((e23) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((e22) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e20) (e21)) = (e23))\/(((op2 (e20) (e22)) = (e23))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e20) (e21)) = (e20))\/(((op2 (e20) (e22)) = (e20))\/((op2 (e20) (e23)) = (e20))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (((op2 (e23) (e20)) = (e22))\/(((op2 (e23) (e21)) = (e22))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> ((((op1 (e10) (e10)) = (e10))/\(((op1 (e10) (e10)) = (e10))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11))))/\(((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12))))/\((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))))))))\/((((op1 (e10) (e11)) = (e10))/\(((op1 (e11) (e10)) = (e10))/\(((~((op1 (e11) (e10)) = (e11)))\/(~((op1 (e11) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e11) (e12)) = (e11)))\/(~((op1 (e11) (e11)) = (e12))))/\((~((op1 (e11) (e13)) = (e11)))\/(~((op1 (e11) (e11)) = (e13)))))))))\/((((op1 (e10) (e12)) = (e10))/\(((op1 (e12) (e10)) = (e10))/\(((~((op1 (e12) (e10)) = (e12)))\/(~((op1 (e12) (e12)) = (e10))))/\(((~((op1 (e12) (e11)) = (e12)))\/(~((op1 (e12) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13)))))))))\/((((op1 (e10) (e13)) = (e10))/\(((op1 (e13) (e10)) = (e10))/\(((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e13) (e13)) = (e10))))/\(((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11))))/\(((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e13) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13)))))))))\/((((op1 (e11) (e10)) = (e11))/\(((op1 (e10) (e11)) = (e11))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11))))/\(((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12))))/\((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))))))))\/((((op1 (e11) (e11)) = (e11))/\(((op1 (e11) (e11)) = (e11))/\(((~((op1 (e11) (e10)) = (e11)))\/(~((op1 (e11) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e11) (e12)) = (e11)))\/(~((op1 (e11) (e11)) = (e12))))/\((~((op1 (e11) (e13)) = (e11)))\/(~((op1 (e11) (e11)) = (e13)))))))))\/((((op1 (e11) (e12)) = (e11))/\(((op1 (e12) (e11)) = (e11))/\(((~((op1 (e12) (e10)) = (e12)))\/(~((op1 (e12) (e12)) = (e10))))/\(((~((op1 (e12) (e11)) = (e12)))\/(~((op1 (e12) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13)))))))))\/((((op1 (e11) (e13)) = (e11))/\(((op1 (e13) (e11)) = (e11))/\(((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e13) (e13)) = (e10))))/\(((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11))))/\(((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e13) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13)))))))))\/((((op1 (e12) (e10)) = (e12))/\(((op1 (e10) (e12)) = (e12))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11))))/\(((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12))))/\((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))))))))\/((((op1 (e12) (e11)) = (e12))/\(((op1 (e11) (e12)) = (e12))/\(((~((op1 (e11) (e10)) = (e11)))\/(~((op1 (e11) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e11) (e12)) = (e11)))\/(~((op1 (e11) (e11)) = (e12))))/\((~((op1 (e11) (e13)) = (e11)))\/(~((op1 (e11) (e11)) = (e13)))))))))\/((((op1 (e12) (e12)) = (e12))/\(((op1 (e12) (e12)) = (e12))/\(((~((op1 (e12) (e10)) = (e12)))\/(~((op1 (e12) (e12)) = (e10))))/\(((~((op1 (e12) (e11)) = (e12)))\/(~((op1 (e12) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13)))))))))\/((((op1 (e12) (e13)) = (e12))/\(((op1 (e13) (e12)) = (e12))/\(((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e13) (e13)) = (e10))))/\(((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11))))/\(((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e13) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13)))))))))\/((((op1 (e13) (e10)) = (e13))/\(((op1 (e10) (e13)) = (e13))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11))))/\(((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12))))/\((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))))))))\/((((op1 (e13) (e11)) = (e13))/\(((op1 (e11) (e13)) = (e13))/\(((~((op1 (e11) (e10)) = (e11)))\/(~((op1 (e11) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e11) (e12)) = (e11)))\/(~((op1 (e11) (e11)) = (e12))))/\((~((op1 (e11) (e13)) = (e11)))\/(~((op1 (e11) (e11)) = (e13)))))))))\/((((op1 (e13) (e12)) = (e13))/\(((op1 (e12) (e13)) = (e13))/\(((~((op1 (e12) (e10)) = (e12)))\/(~((op1 (e12) (e12)) = (e10))))/\(((~((op1 (e12) (e11)) = (e12)))\/(~((op1 (e12) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13)))))))))\/(((op1 (e13) (e13)) = (e13))/\(((op1 (e13) (e13)) = (e13))/\(((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e13) (e13)) = (e10))))/\(((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11))))/\(((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e13) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13)))))))))))))))))))))))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e13)) = (e13))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> ((op1 (e11) (op1 (e11) (e11))) = (e11)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> ((op1 (e11) (e13)) = (e11)) -> (~((op1 (e13) (e13)) = (e12))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> ((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) -> ((e10) = (op1 (e11) (e11))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> False).
% 55.20/55.35 do 0 intro. intros zenon_H29e zenon_H1ed zenon_H1be zenon_H1b6 zenon_H2c2 zenon_H15a zenon_H2b9 zenon_H2c0 zenon_H14b zenon_H154 zenon_H155 zenon_H15f zenon_H179 zenon_H21a zenon_H18a zenon_H1a9 zenon_H1a0 zenon_H19d zenon_H246 zenon_H31 zenon_H8d zenon_H33 zenon_H4e6 zenon_Hbd zenon_Hb0 zenon_H4e2 zenon_Hb7 zenon_H4ae zenon_H45 zenon_H3b4 zenon_H39d zenon_H282 zenon_H60 zenon_H3af zenon_H3b1 zenon_H116 zenon_H395 zenon_H47a zenon_H399 zenon_H489 zenon_H9f zenon_H481 zenon_H3a8 zenon_Hb9 zenon_H3c2 zenon_Had zenon_H100 zenon_H40c zenon_H101 zenon_H37d zenon_H98 zenon_H437 zenon_H3f4 zenon_Hfc zenon_H67 zenon_H4df zenon_H16c zenon_H172 zenon_H180 zenon_H186 zenon_H2c9 zenon_H18e zenon_H534 zenon_H270 zenon_H461 zenon_H44f zenon_H1d8 zenon_H325 zenon_H358 zenon_H1da zenon_H1cc zenon_H23f zenon_H292 zenon_H1de zenon_H1fa zenon_H4c3 zenon_H3cb zenon_H43a zenon_H3b zenon_H3f zenon_H3e zenon_H93 zenon_Ha5 zenon_H32 zenon_Hac zenon_H6e zenon_H74 zenon_H245 zenon_H1f4 zenon_H1c0 zenon_H32b zenon_H30e zenon_H2ad zenon_H2a5 zenon_H2a6 zenon_H2a3 zenon_H2b1 zenon_H214 zenon_H185 zenon_H17 zenon_H1e zenon_H15 zenon_H13 zenon_H25.
% 55.20/55.35 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_H1a3 | zenon_intro zenon_H1a2 ].
% 55.20/55.35 apply (zenon_or_s _ _ zenon_H1fa); [ zenon_intro zenon_H156 | zenon_intro zenon_H1fb ].
% 55.20/55.35 apply (zenon_L63_); trivial.
% 55.20/55.35 apply (zenon_or_s _ _ zenon_H1fb); [ zenon_intro zenon_H1b8 | zenon_intro zenon_H1fc ].
% 55.20/55.35 apply (zenon_or_s _ _ zenon_H1be); [ zenon_intro zenon_H1b0 | zenon_intro zenon_H1c1 ].
% 55.20/55.35 exact (zenon_H1b6 zenon_H1b0).
% 55.20/55.35 apply (zenon_or_s _ _ zenon_H1c1); [ zenon_intro zenon_H1c3 | zenon_intro zenon_H1c2 ].
% 55.20/55.35 apply (zenon_L1019_); trivial.
% 55.20/55.35 apply (zenon_or_s _ _ zenon_H1c2); [ zenon_intro zenon_H1ba | zenon_intro zenon_H1c4 ].
% 55.20/55.35 apply (zenon_L86_); trivial.
% 55.20/55.35 exact (zenon_H1c0 zenon_H1c4).
% 55.20/55.35 apply (zenon_or_s _ _ zenon_H1fc); [ zenon_intro zenon_H1c6 | zenon_intro zenon_H1ec ].
% 55.20/55.35 apply (zenon_L157_); trivial.
% 55.20/55.35 apply (zenon_or_s _ _ zenon_H2c2); [ zenon_intro zenon_H159 | zenon_intro zenon_H2c3 ].
% 55.20/55.35 apply (zenon_L64_); trivial.
% 55.20/55.35 apply (zenon_or_s _ _ zenon_H2c3); [ zenon_intro zenon_H2b7 | zenon_intro zenon_H2c4 ].
% 55.20/55.35 apply (zenon_L229_); trivial.
% 55.20/55.35 apply (zenon_or_s _ _ zenon_H2c4); [ zenon_intro zenon_H1f3 | zenon_intro zenon_H234 ].
% 55.20/55.35 apply (zenon_or_s _ _ zenon_H1be); [ zenon_intro zenon_H1b0 | zenon_intro zenon_H1c1 ].
% 55.20/55.35 exact (zenon_H1b6 zenon_H1b0).
% 55.20/55.35 apply (zenon_or_s _ _ zenon_H1c1); [ zenon_intro zenon_H1c3 | zenon_intro zenon_H1c2 ].
% 55.20/55.35 apply (zenon_L1019_); trivial.
% 55.20/55.35 apply (zenon_or_s _ _ zenon_H1c2); [ zenon_intro zenon_H1ba | zenon_intro zenon_H1c4 ].
% 55.20/55.35 apply (zenon_L96_); trivial.
% 55.20/55.35 exact (zenon_H1c0 zenon_H1c4).
% 55.20/55.35 apply (zenon_L865_); trivial.
% 55.20/55.35 apply (zenon_or_s _ _ zenon_H1a2); [ zenon_intro zenon_H16 | zenon_intro zenon_H1a4 ].
% 55.20/55.35 apply (zenon_L2_); trivial.
% 55.20/55.35 apply (zenon_or_s _ _ zenon_H1a4); [ zenon_intro zenon_H1d | zenon_intro zenon_H24 ].
% 55.20/55.35 apply (zenon_L3_); trivial.
% 55.20/55.35 apply (zenon_L4_); trivial.
% 55.20/55.35 (* end of lemma zenon_L1020_ *)
% 55.20/55.35 assert (zenon_L1021_ : (((op1 (e10) (e12)) = (e10))/\(((op1 (e12) (e10)) = (e10))/\(((~((op1 (e12) (e10)) = (e12)))\/(~((op1 (e12) (e12)) = (e10))))/\(((~((op1 (e12) (e11)) = (e12)))\/(~((op1 (e12) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13))))))))) -> (~((op2 (e20) (e20)) = (e20))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> ((e20) = (op2 (e21) (e21))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e20)) = (e20))\/(((op2 (e22) (e20)) = (e20))\/((op2 (e23) (e20)) = (e20))))) -> (~((e20) = (e22))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (((op2 (e23) (e20)) = (e22))\/(((op2 (e23) (e21)) = (e22))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e21)) = (e22))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> ((op2 (e21) (op2 (e21) (e23))) = (e23)) -> (~((op2 (e21) (e22)) = (op2 (e21) (e23)))) -> (((op2 (e21) (e20)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/((op2 (e21) (e23)) = (e23))))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> ((op2 (e21) (op2 (e21) (e22))) = (e22)) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> ((op2 (e20) (e21)) = (e21)) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e23)) = (e20))) -> (((op2 (e22) (e22)) = (e20))\/(((op2 (e22) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e22)) = (e23))))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e22) (e22)) = (e21))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e22)))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (((op2 (e23) (e22)) = (e20))\/(((op2 (e23) (e22)) = (e21))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e22)) = (e23))))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e11) (op1 (e11) (e13))) = (e13)) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> ((op1 (e11) (op1 (e11) (e10))) = (e10)) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e12))\/((op1 (e11) (e10)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> ((h2 (e12)) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> ((h2 (e13)) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((h2 (e11)) = (e21)) -> (~((h2 (op1 (e13) (e12))) = (op2 (h2 (e13)) (h2 (e12))))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> ((e10) = (op1 (e11) (e11))) -> ((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) -> ((e12) = (op1 (op1 (op1 (e11) (e11)) (op1 (e11) (e11))) (op1 (e11) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e20) (e22)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e23) (e22)) = (e23))))) -> ((e23) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((e22) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e20) (e21)) = (e23))\/(((op2 (e20) (e22)) = (e23))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e20) (e21)) = (e20))\/(((op2 (e20) (e22)) = (e20))\/((op2 (e20) (e23)) = (e20))))) -> ((op1 (e12) (e11)) = (e12)) -> False).
% 55.20/55.35 do 0 intro. intros zenon_H197 zenon_H31 zenon_H8d zenon_H33 zenon_H4e6 zenon_H4e2 zenon_H6e zenon_H74 zenon_H4ae zenon_H45 zenon_H3b4 zenon_H39d zenon_H282 zenon_H60 zenon_H3af zenon_H3b1 zenon_H116 zenon_H395 zenon_H47a zenon_H399 zenon_H489 zenon_H9f zenon_H481 zenon_H3a8 zenon_Hb9 zenon_H3c2 zenon_Had zenon_H100 zenon_H40c zenon_H101 zenon_H37d zenon_H98 zenon_H437 zenon_H3f4 zenon_Hfc zenon_H67 zenon_H1fa zenon_H1f4 zenon_H29e zenon_H14b zenon_H186 zenon_H180 zenon_H172 zenon_H1de zenon_H292 zenon_H1cc zenon_H1da zenon_H15a zenon_H15f zenon_H1e zenon_H358 zenon_H325 zenon_H1d8 zenon_H179 zenon_H44f zenon_H461 zenon_H270 zenon_H534 zenon_H18e zenon_H2c9 zenon_H13 zenon_H15 zenon_H155 zenon_H154 zenon_H17 zenon_H25 zenon_H1a0 zenon_H3cb zenon_H43a zenon_H3b zenon_H3f zenon_H3e zenon_H93 zenon_Ha5 zenon_H32 zenon_Hac zenon_H202.
% 55.20/55.35 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_H18f. zenon_intro zenon_H198.
% 55.20/55.35 apply (zenon_and_s _ _ zenon_H198). zenon_intro zenon_H293. zenon_intro zenon_H227.
% 55.20/55.35 apply (zenon_and_s _ _ zenon_H227). zenon_intro zenon_H229. zenon_intro zenon_H228.
% 55.20/55.35 apply (zenon_and_s _ _ zenon_H228). zenon_intro zenon_H22b. zenon_intro zenon_H22a.
% 55.20/55.35 apply (zenon_or_s _ _ zenon_H22b); [ zenon_intro zenon_H23c | zenon_intro zenon_H23f ].
% 55.20/55.35 exact (zenon_H23c zenon_H202).
% 55.20/55.35 apply (zenon_L1013_); trivial.
% 55.20/55.35 (* end of lemma zenon_L1021_ *)
% 55.20/55.35 assert (zenon_L1022_ : (((op2 (e20) (e22)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e23) (e22)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e22)))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> ((op2 (e20) (e20)) = (e23)) -> ((e22) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (~((op1 (e10) (e10)) = (e10))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> ((e10) = (op1 (e11) (e11))) -> ((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> ((op1 (e11) (op1 (e11) (e12))) = (e12)) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((e12) = (e13))) -> ((op1 (e12) (e11)) = (e12)) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> ((e12) = (op1 (op1 (op1 (e11) (e11)) (op1 (e11) (e11))) (op1 (e11) (e11)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> ((h2 (e13)) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((h2 (e12)) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> ((h2 (e11)) = (e21)) -> (~((h2 (op1 (e13) (e12))) = (op2 (h2 (e13)) (h2 (e12))))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> ((op1 (e11) (op1 (e11) (e13))) = (e13)) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e10)) = (e12))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e13) (e10)) = (e12))))) -> (~((op1 (e10) (e10)) = (e12))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> (~((op1 (e10) (e13)) = (e10))) -> ((op2 (e20) (e22)) = (e20)) -> (((op2 (e23) (e22)) = (e20))\/(((op2 (e23) (e22)) = (e21))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e22)) = (e23))))) -> ((e23) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((op2 (e21) (e21)) = (e22)) -> ((e20) = (op2 (e21) (e21))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> False).
% 55.20/55.35 do 0 intro. intros zenon_H43a zenon_H98 zenon_H437 zenon_Hfc zenon_Ha8 zenon_H3f zenon_H67 zenon_H246 zenon_H146 zenon_H19d zenon_H25 zenon_H13 zenon_H15 zenon_H1e zenon_H17 zenon_H2c2 zenon_H15a zenon_H2b9 zenon_H30e zenon_H375 zenon_H2e7 zenon_H2ad zenon_H236 zenon_H202 zenon_H1d8 zenon_H155 zenon_H179 zenon_H461 zenon_H44f zenon_H270 zenon_H534 zenon_H18e zenon_H325 zenon_H2c0 zenon_H29e zenon_H1a0 zenon_H4c3 zenon_H4c4 zenon_H21a zenon_H1f4 zenon_H358 zenon_H154 zenon_H1fa zenon_H204 zenon_H4c2 zenon_H25f zenon_H57 zenon_H3f4 zenon_H3b zenon_H401 zenon_H33 zenon_H3cb.
% 55.20/55.35 apply (zenon_or_s _ _ zenon_H43a); [ zenon_intro zenon_H97 | zenon_intro zenon_H43b ].
% 55.20/55.35 apply (zenon_L26_); trivial.
% 55.20/55.35 apply (zenon_or_s _ _ zenon_H43b); [ zenon_intro zenon_H38e | zenon_intro zenon_H43c ].
% 55.20/55.35 apply (zenon_L449_); trivial.
% 55.20/55.35 apply (zenon_or_s _ _ zenon_H43c); [ zenon_intro zenon_Hf6 | zenon_intro zenon_Hfb ].
% 55.20/55.35 apply (zenon_L1007_); trivial.
% 55.20/55.35 apply (zenon_L450_); trivial.
% 55.20/55.35 (* end of lemma zenon_L1022_ *)
% 55.20/55.35 assert (zenon_L1023_ : ((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12)))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e20) (e21)) = (e20))\/(((op2 (e20) (e22)) = (e20))\/((op2 (e20) (e23)) = (e20))))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e20) (e21)) = (e23))\/(((op2 (e20) (e22)) = (e23))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> ((e22) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> ((e23) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> (((op2 (e20) (e22)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e23) (e22)) = (e23))))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (((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)))) -> ((e12) = (op1 (op1 (op1 (e11) (e11)) (op1 (e11) (e11))) (op1 (e11) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((h2 (op1 (e13) (e12))) = (op2 (h2 (e13)) (h2 (e12))))) -> ((h2 (e11)) = (e21)) -> ((h2 (e13)) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((h2 (e12)) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((e12) = (e13))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> ((op1 (e11) (op1 (e11) (e13))) = (e13)) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> ((op1 (e11) (op1 (e11) (e12))) = (e12)) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e23) (e22)) = (e20))\/(((op2 (e23) (e22)) = (e21))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e22)) = (e23))))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e22)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> (~((op2 (e22) (e22)) = (e21))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (((op2 (e22) (e22)) = (e20))\/(((op2 (e22) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e22)) = (e23))))) -> (~((op2 (e20) (e23)) = (e20))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> ((op2 (e20) (e21)) = (e21)) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> ((op2 (e21) (op2 (e21) (e22))) = (e22)) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (((op2 (e21) (e20)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/((op2 (e21) (e23)) = (e23))))) -> (~((op2 (e21) (e22)) = (op2 (e21) (e23)))) -> ((op2 (e21) (op2 (e21) (e23))) = (e23)) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e21)) = (e22))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> (((op2 (e23) (e20)) = (e22))\/(((op2 (e23) (e21)) = (e22))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((e20) = (e22))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e20)) = (e20))\/(((op2 (e22) (e20)) = (e20))\/((op2 (e23) (e20)) = (e20))))) -> ((e20) = (op2 (e21) (e21))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> (~((op2 (e20) (e20)) = (e20))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> ((e10) = (op1 (e11) (e11))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (~((op1 (e10) (e10)) = (e10))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> ((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> ((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))) -> False).
% 55.20/55.35 do 0 intro. intros zenon_H25e zenon_Hac zenon_H32 zenon_Ha5 zenon_H93 zenon_H3e zenon_H3f zenon_H3b zenon_H43a zenon_H3cb zenon_H4c3 zenon_H202 zenon_H204 zenon_H21a zenon_H155 zenon_H154 zenon_H1fa zenon_H1f4 zenon_H15a zenon_H2e7 zenon_H2b9 zenon_H18e zenon_H534 zenon_H270 zenon_H461 zenon_H44f zenon_H179 zenon_H1d8 zenon_H325 zenon_H236 zenon_H2ad zenon_H358 zenon_H29e zenon_H2c0 zenon_H2c2 zenon_H30e zenon_H375 zenon_H4c2 zenon_H67 zenon_Hfc zenon_H3f4 zenon_H437 zenon_H98 zenon_H37d zenon_H101 zenon_H40c zenon_H100 zenon_Had zenon_H3c2 zenon_Hb9 zenon_H3a8 zenon_H481 zenon_H9f zenon_H489 zenon_H399 zenon_H47a zenon_H395 zenon_H116 zenon_H3b1 zenon_H3af zenon_H60 zenon_H282 zenon_H39d zenon_H3b4 zenon_H45 zenon_H4ae zenon_H74 zenon_H6e zenon_H4e2 zenon_H4e6 zenon_H33 zenon_H8d zenon_H31 zenon_H246 zenon_H13 zenon_H19d zenon_H146 zenon_H1a0 zenon_H25 zenon_H1e zenon_H15 zenon_H17 zenon_H25d.
% 55.20/55.35 apply (zenon_or_s _ _ zenon_H25e); [ zenon_intro zenon_H458 | zenon_intro zenon_H4c4 ].
% 55.20/55.35 apply (zenon_L629_); trivial.
% 55.20/55.35 apply (zenon_or_s _ _ zenon_H25d); [ zenon_intro zenon_H25f | zenon_intro zenon_H1a1 ].
% 55.20/55.35 apply (zenon_or_s _ _ zenon_Hac); [ zenon_intro zenon_H2d | zenon_intro zenon_Hae ].
% 55.20/55.35 exact (zenon_H31 zenon_H2d).
% 55.20/55.35 apply (zenon_or_s _ _ zenon_Hae); [ zenon_intro zenon_H51 | zenon_intro zenon_Haf ].
% 55.20/55.35 apply (zenon_L24_); trivial.
% 55.20/55.35 apply (zenon_or_s _ _ zenon_Haf); [ zenon_intro zenon_H57 | zenon_intro zenon_H8b ].
% 55.20/55.35 apply (zenon_or_s _ _ zenon_H4e6); [ zenon_intro zenon_H2d | zenon_intro zenon_H4e7 ].
% 55.20/55.35 exact (zenon_H31 zenon_H2d).
% 55.20/55.35 apply (zenon_or_s _ _ zenon_H4e7); [ zenon_intro zenon_H34 | zenon_intro zenon_H4e8 ].
% 55.20/55.35 apply (zenon_L6_); trivial.
% 55.20/55.35 apply (zenon_or_s _ _ zenon_H4e8); [ zenon_intro zenon_H121 | zenon_intro zenon_H80 ].
% 55.20/55.35 apply (zenon_or_s _ _ zenon_Ha5); [ zenon_intro zenon_Ha8 | zenon_intro zenon_Ha7 ].
% 55.20/55.35 apply (zenon_or_s _ _ zenon_H4ae); [ zenon_intro zenon_H40 | zenon_intro zenon_H4af ].
% 55.20/55.35 apply (zenon_L8_); trivial.
% 55.20/55.35 apply (zenon_or_s _ _ zenon_H4af); [ zenon_intro zenon_H401 | zenon_intro zenon_H4b0 ].
% 55.20/55.35 apply (zenon_L1022_); trivial.
% 55.20/55.35 apply (zenon_or_s _ _ zenon_H4b0); [ zenon_intro zenon_Hd4 | zenon_intro zenon_H478 ].
% 55.20/55.35 apply (zenon_or_s _ _ zenon_H43a); [ zenon_intro zenon_H97 | zenon_intro zenon_H43b ].
% 55.20/55.35 apply (zenon_L26_); trivial.
% 55.20/55.35 apply (zenon_or_s _ _ zenon_H43b); [ zenon_intro zenon_H38e | zenon_intro zenon_H43c ].
% 55.20/55.35 apply (zenon_L590_); trivial.
% 55.20/55.35 apply (zenon_or_s _ _ zenon_H43c); [ zenon_intro zenon_Hf6 | zenon_intro zenon_Hfb ].
% 55.20/55.35 apply (zenon_L1007_); trivial.
% 55.20/55.35 apply (zenon_L799_); trivial.
% 55.20/55.35 apply (zenon_L712_); trivial.
% 55.20/55.35 apply (zenon_or_s _ _ zenon_Ha7); [ zenon_intro zenon_H92 | zenon_intro zenon_Ha9 ].
% 55.20/55.35 apply (zenon_L25_); trivial.
% 55.20/55.35 apply (zenon_or_s _ _ zenon_Ha9); [ zenon_intro zenon_H97 | zenon_intro zenon_H9e ].
% 55.20/55.35 apply (zenon_L26_); trivial.
% 55.20/55.35 apply (zenon_L27_); trivial.
% 55.20/55.35 apply (zenon_L736_); trivial.
% 55.20/55.35 exact (zenon_Had zenon_H8b).
% 55.20/55.35 apply (zenon_L79_); trivial.
% 55.20/55.35 (* end of lemma zenon_L1023_ *)
% 55.20/55.35 assert (zenon_L1024_ : (((op1 (e11) (e10)) = (e11))/\(((op1 (e10) (e11)) = (e11))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11))))/\(((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12))))/\((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13))))))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> ((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> ((e10) = (op1 (e11) (e11))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (~((op2 (e20) (e20)) = (e20))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> ((e20) = (op2 (e21) (e21))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e20)) = (e20))\/(((op2 (e22) (e20)) = (e20))\/((op2 (e23) (e20)) = (e20))))) -> (~((e20) = (e22))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (((op2 (e23) (e20)) = (e22))\/(((op2 (e23) (e21)) = (e22))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e21)) = (e22))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> ((op2 (e21) (op2 (e21) (e23))) = (e23)) -> (~((op2 (e21) (e22)) = (op2 (e21) (e23)))) -> (((op2 (e21) (e20)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/((op2 (e21) (e23)) = (e23))))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> ((op2 (e21) (op2 (e21) (e22))) = (e22)) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> ((op2 (e20) (e21)) = (e21)) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e23)) = (e20))) -> (((op2 (e22) (e22)) = (e20))\/(((op2 (e22) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e22)) = (e23))))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e22) (e22)) = (e21))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e22)))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (((op2 (e23) (e22)) = (e20))\/(((op2 (e23) (e22)) = (e21))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e22)) = (e23))))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> ((op1 (e11) (op1 (e11) (e12))) = (e12)) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> ((op1 (e11) (op1 (e11) (e13))) = (e13)) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((e12) = (e13))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> ((h2 (e12)) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> ((h2 (e13)) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((h2 (e11)) = (e21)) -> (~((h2 (op1 (e13) (e12))) = (op2 (h2 (e13)) (h2 (e12))))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> ((e12) = (op1 (op1 (op1 (e11) (e11)) (op1 (e11) (e11))) (op1 (e11) (e11)))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> ((op1 (e12) (e11)) = (e12)) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e10)) = (e12))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e13) (e10)) = (e12))))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e20) (e22)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e23) (e22)) = (e23))))) -> ((e23) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((e22) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e20) (e21)) = (e23))\/(((op2 (e20) (e22)) = (e23))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e20) (e21)) = (e20))\/(((op2 (e20) (e22)) = (e20))\/((op2 (e20) (e23)) = (e20))))) -> False).
% 55.20/55.35 do 0 intro. intros zenon_H259 zenon_H17 zenon_H15 zenon_H1e zenon_H25 zenon_H1a0 zenon_H19d zenon_H13 zenon_H246 zenon_H31 zenon_H8d zenon_H33 zenon_H4e6 zenon_H4e2 zenon_H6e zenon_H74 zenon_H4ae zenon_H45 zenon_H3b4 zenon_H39d zenon_H282 zenon_H60 zenon_H3af zenon_H3b1 zenon_H116 zenon_H395 zenon_H47a zenon_H399 zenon_H489 zenon_H9f zenon_H481 zenon_H3a8 zenon_Hb9 zenon_H3c2 zenon_Had zenon_H100 zenon_H40c zenon_H101 zenon_H37d zenon_H98 zenon_H437 zenon_H3f4 zenon_Hfc zenon_H67 zenon_H4c2 zenon_H375 zenon_H30e zenon_H2c2 zenon_H2c0 zenon_H29e zenon_H358 zenon_H2ad zenon_H236 zenon_H325 zenon_H1d8 zenon_H179 zenon_H44f zenon_H461 zenon_H270 zenon_H534 zenon_H18e zenon_H2b9 zenon_H2e7 zenon_H15a zenon_H1f4 zenon_H1fa zenon_H154 zenon_H155 zenon_H21a zenon_H204 zenon_H202 zenon_H4c3 zenon_H3cb zenon_H43a zenon_H3b zenon_H3f zenon_H3e zenon_H93 zenon_Ha5 zenon_H32 zenon_Hac.
% 55.20/55.35 apply (zenon_and_s _ _ zenon_H259). zenon_intro zenon_H163. zenon_intro zenon_H25a.
% 55.20/55.35 apply (zenon_and_s _ _ zenon_H25a). zenon_intro zenon_H1fe. zenon_intro zenon_H149.
% 55.20/55.35 apply (zenon_and_s _ _ zenon_H149). zenon_intro zenon_H144. zenon_intro zenon_H14a.
% 55.20/55.35 apply (zenon_and_s _ _ zenon_H14a). zenon_intro zenon_H25c. zenon_intro zenon_H25b.
% 55.20/55.35 apply (zenon_and_s _ _ zenon_H25b). zenon_intro zenon_H25e. zenon_intro zenon_H25d.
% 55.20/55.35 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_H146 | zenon_intro zenon_H146 ].
% 55.20/55.35 apply (zenon_L1023_); trivial.
% 55.20/55.35 apply (zenon_L1023_); trivial.
% 55.20/55.35 (* end of lemma zenon_L1024_ *)
% 55.20/55.35 assert (zenon_L1025_ : ((~((op2 (e20) (e22)) = (e20)))\/(~((op2 (e20) (e20)) = (e22)))) -> ((((op1 (e10) (op1 (e10) (e10))) = (e10))/\(((op1 (e10) (op1 (e10) (e11))) = (e11))/\(((op1 (e10) (op1 (e10) (e12))) = (e12))/\(((op1 (e10) (op1 (e10) (e13))) = (e13))/\(((~((op1 (e10) (e10)) = (e10)))\/((op1 (e10) (e10)) = (e10)))/\(((~((op1 (e11) (e11)) = (e10)))\/((op1 (e11) (e10)) = (e11)))/\(((~((op1 (e12) (e12)) = (e10)))\/((op1 (e12) (e10)) = (e12)))/\((~((op1 (e13) (e13)) = (e10)))\/((op1 (e13) (e10)) = (e13))))))))))\/((((op1 (e11) (op1 (e11) (e10))) = (e10))/\(((op1 (e11) (op1 (e11) (e11))) = (e11))/\(((op1 (e11) (op1 (e11) (e12))) = (e12))/\(((op1 (e11) (op1 (e11) (e13))) = (e13))/\(((~((op1 (e10) (e10)) = (e11)))\/((op1 (e10) (e11)) = (e10)))/\(((~((op1 (e11) (e11)) = (e11)))\/((op1 (e11) (e11)) = (e11)))/\(((~((op1 (e12) (e12)) = (e11)))\/((op1 (e12) (e11)) = (e12)))/\((~((op1 (e13) (e13)) = (e11)))\/((op1 (e13) (e11)) = (e13))))))))))\/((((op1 (e12) (op1 (e12) (e10))) = (e10))/\(((op1 (e12) (op1 (e12) (e11))) = (e11))/\(((op1 (e12) (op1 (e12) (e12))) = (e12))/\(((op1 (e12) (op1 (e12) (e13))) = (e13))/\(((~((op1 (e10) (e10)) = (e12)))\/((op1 (e10) (e12)) = (e10)))/\(((~((op1 (e11) (e11)) = (e12)))\/((op1 (e11) (e12)) = (e11)))/\(((~((op1 (e12) (e12)) = (e12)))\/((op1 (e12) (e12)) = (e12)))/\((~((op1 (e13) (e13)) = (e12)))\/((op1 (e13) (e12)) = (e13))))))))))\/(((op1 (e13) (op1 (e13) (e10))) = (e10))/\(((op1 (e13) (op1 (e13) (e11))) = (e11))/\(((op1 (e13) (op1 (e13) (e12))) = (e12))/\(((op1 (e13) (op1 (e13) (e13))) = (e13))/\(((~((op1 (e10) (e10)) = (e13)))\/((op1 (e10) (e13)) = (e10)))/\(((~((op1 (e11) (e11)) = (e13)))\/((op1 (e11) (e13)) = (e11)))/\(((~((op1 (e12) (e12)) = (e13)))\/((op1 (e12) (e13)) = (e12)))/\((~((op1 (e13) (e13)) = (e13)))\/((op1 (e13) (e13)) = (e13))))))))))))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e12) (e13)) = (e10))))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e12) (e11)) = (e13))))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> (((op2 (e20) (e20)) = (e22))\/(((op2 (e21) (e20)) = (e22))\/(((op2 (e22) (e20)) = (e22))\/((op2 (e23) (e20)) = (e22))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e10)) = (e12))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e13) (e10)) = (e12))))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> ((e22) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> (((op2 (e20) (e22)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e23) (e22)) = (e23))))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (~((h2 (op1 (e13) (e12))) = (op2 (h2 (e13)) (h2 (e12))))) -> ((h2 (e11)) = (e21)) -> ((h2 (e13)) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((h2 (e12)) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e23) (e22)) = (e20))\/(((op2 (e23) (e22)) = (e21))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e22)) = (e23))))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> (~((op2 (e22) (e22)) = (e21))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (((op2 (e22) (e22)) = (e20))\/(((op2 (e22) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e22)) = (e23))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> ((op2 (e20) (e21)) = (e21)) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> ((op2 (e21) (op2 (e21) (e22))) = (e22)) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (((op2 (e21) (e20)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/((op2 (e21) (e23)) = (e23))))) -> (~((op2 (e21) (e22)) = (op2 (e21) (e23)))) -> ((op2 (e21) (op2 (e21) (e23))) = (e23)) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e21)) = (e22))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> (((op2 (e23) (e20)) = (e22))\/(((op2 (e23) (e21)) = (e22))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((e20) = (e22))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e20)) = (e20))\/(((op2 (e22) (e20)) = (e20))\/((op2 (e23) (e20)) = (e20))))) -> ((e10) = (op1 (e11) (e11))) -> ((((op1 (e10) (e10)) = (e10))/\(((op1 (e10) (e10)) = (e10))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11))))/\(((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12))))/\((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))))))))\/((((op1 (e10) (e11)) = (e10))/\(((op1 (e11) (e10)) = (e10))/\(((~((op1 (e11) (e10)) = (e11)))\/(~((op1 (e11) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e11) (e12)) = (e11)))\/(~((op1 (e11) (e11)) = (e12))))/\((~((op1 (e11) (e13)) = (e11)))\/(~((op1 (e11) (e11)) = (e13)))))))))\/((((op1 (e10) (e12)) = (e10))/\(((op1 (e12) (e10)) = (e10))/\(((~((op1 (e12) (e10)) = (e12)))\/(~((op1 (e12) (e12)) = (e10))))/\(((~((op1 (e12) (e11)) = (e12)))\/(~((op1 (e12) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13)))))))))\/((((op1 (e10) (e13)) = (e10))/\(((op1 (e13) (e10)) = (e10))/\(((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e13) (e13)) = (e10))))/\(((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11))))/\(((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e13) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13)))))))))\/((((op1 (e11) (e10)) = (e11))/\(((op1 (e10) (e11)) = (e11))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11))))/\(((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12))))/\((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))))))))\/((((op1 (e11) (e11)) = (e11))/\(((op1 (e11) (e11)) = (e11))/\(((~((op1 (e11) (e10)) = (e11)))\/(~((op1 (e11) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e11) (e12)) = (e11)))\/(~((op1 (e11) (e11)) = (e12))))/\((~((op1 (e11) (e13)) = (e11)))\/(~((op1 (e11) (e11)) = (e13)))))))))\/((((op1 (e11) (e12)) = (e11))/\(((op1 (e12) (e11)) = (e11))/\(((~((op1 (e12) (e10)) = (e12)))\/(~((op1 (e12) (e12)) = (e10))))/\(((~((op1 (e12) (e11)) = (e12)))\/(~((op1 (e12) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13)))))))))\/((((op1 (e11) (e13)) = (e11))/\(((op1 (e13) (e11)) = (e11))/\(((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e13) (e13)) = (e10))))/\(((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11))))/\(((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e13) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13)))))))))\/((((op1 (e12) (e10)) = (e12))/\(((op1 (e10) (e12)) = (e12))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11))))/\(((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12))))/\((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))))))))\/((((op1 (e12) (e11)) = (e12))/\(((op1 (e11) (e12)) = (e12))/\(((~((op1 (e11) (e10)) = (e11)))\/(~((op1 (e11) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e11) (e12)) = (e11)))\/(~((op1 (e11) (e11)) = (e12))))/\((~((op1 (e11) (e13)) = (e11)))\/(~((op1 (e11) (e11)) = (e13)))))))))\/((((op1 (e12) (e12)) = (e12))/\(((op1 (e12) (e12)) = (e12))/\(((~((op1 (e12) (e10)) = (e12)))\/(~((op1 (e12) (e12)) = (e10))))/\(((~((op1 (e12) (e11)) = (e12)))\/(~((op1 (e12) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13)))))))))\/((((op1 (e12) (e13)) = (e12))/\(((op1 (e13) (e12)) = (e12))/\(((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e13) (e13)) = (e10))))/\(((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11))))/\(((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e13) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13)))))))))\/((((op1 (e13) (e10)) = (e13))/\(((op1 (e10) (e13)) = (e13))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11))))/\(((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12))))/\((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))))))))\/((((op1 (e13) (e11)) = (e13))/\(((op1 (e11) (e13)) = (e13))/\(((~((op1 (e11) (e10)) = (e11)))\/(~((op1 (e11) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e11) (e12)) = (e11)))\/(~((op1 (e11) (e11)) = (e12))))/\((~((op1 (e11) (e13)) = (e11)))\/(~((op1 (e11) (e11)) = (e13)))))))))\/((((op1 (e13) (e12)) = (e13))/\(((op1 (e12) (e13)) = (e13))/\(((~((op1 (e12) (e10)) = (e12)))\/(~((op1 (e12) (e12)) = (e10))))/\(((~((op1 (e12) (e11)) = (e12)))\/(~((op1 (e12) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13)))))))))\/(((op1 (e13) (e13)) = (e13))/\(((op1 (e13) (e13)) = (e13))/\(((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e13) (e13)) = (e10))))/\(((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11))))/\(((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e13) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13)))))))))))))))))))))))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((e12) = (e13))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e13) (e13)) = (e10))\/(((op1 (e13) (e13)) = (e11))\/(((op1 (e13) (e13)) = (e12))\/((op1 (e13) (e13)) = (e13))))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (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) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e11)) = (e12))\/((op1 (e10) (e11)) = (e13))))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((e10) = (e12))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> ((e12) = (op1 (op1 (op1 (e11) (e11)) (op1 (e11) (e11))) (op1 (e11) (e11)))) -> ((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e12))\/((op1 (e11) (e10)) = (e13))))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e20) (e21)) = (e20))\/(((op2 (e20) (e22)) = (e20))\/((op2 (e20) (e23)) = (e20))))) -> ((e20) = (op2 (e21) (e21))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> (~((op2 (e20) (e20)) = (e20))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e20) (e21)) = (e23))\/(((op2 (e20) (e22)) = (e23))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e22)))) -> ((e23) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> ((~((op2 (e20) (e23)) = (e20)))\/(~((op2 (e20) (e20)) = (e23)))) -> False).
% 55.20/55.35 do 0 intro. intros zenon_Hbc zenon_H36e zenon_H355 zenon_H345 zenon_H360 zenon_H35d zenon_H2d1 zenon_H2d9 zenon_H2e6 zenon_H2e2 zenon_H2ea zenon_H316 zenon_H313 zenon_H30b zenon_H301 zenon_H321 zenon_H322 zenon_H328 zenon_H2f8 zenon_H2f6 zenon_H2fb zenon_H2fd zenon_H32e zenon_H2e7 zenon_H4c2 zenon_H32b zenon_H30e zenon_H2b1 zenon_H2ad zenon_H2a5 zenon_H2a3 zenon_H2c2 zenon_H2c0 zenon_H2b9 zenon_Hb0 zenon_Hb7 zenon_H4df zenon_H4c3 zenon_H32 zenon_H3e zenon_H3f zenon_H43a zenon_H3cb zenon_H2c9 zenon_H534 zenon_H270 zenon_H461 zenon_H44f zenon_H325 zenon_H358 zenon_H67 zenon_Hfc zenon_H3f4 zenon_H437 zenon_H37d zenon_H101 zenon_H40c zenon_H100 zenon_H3c2 zenon_Hb9 zenon_H3a8 zenon_H481 zenon_H489 zenon_H399 zenon_H47a zenon_H395 zenon_H116 zenon_H3b1 zenon_H3af zenon_H60 zenon_H282 zenon_H39d zenon_H3b4 zenon_H45 zenon_H4ae zenon_H74 zenon_H6e zenon_H4e2 zenon_H4e6 zenon_H13 zenon_H245 zenon_H23b zenon_H236 zenon_H21a zenon_H20c zenon_H1be zenon_H1b1 zenon_H1de zenon_H1cc zenon_H1d8 zenon_H1da zenon_H1e8 zenon_H1ed zenon_H1f4 zenon_H1f7 zenon_H1fa zenon_H1fd zenon_H204 zenon_H206 zenon_H209 zenon_H1a9 zenon_H17 zenon_H1e zenon_H25 zenon_H1a0 zenon_H19d zenon_H246 zenon_H192 zenon_H18e zenon_H18a zenon_H16c zenon_H172 zenon_H179 zenon_H180 zenon_H186 zenon_H14b zenon_H154 zenon_H155 zenon_H15 zenon_H15a zenon_H15f zenon_Hac zenon_H33 zenon_H8d zenon_H31 zenon_Ha5 zenon_H9f zenon_H98 zenon_H3b zenon_H93 zenon_Haa.
% 55.20/55.35 apply (zenon_or_s _ _ zenon_Hbc); [ zenon_intro zenon_Hab | zenon_intro zenon_Hbd ].
% 55.20/55.35 apply (zenon_L29_); trivial.
% 55.20/55.35 apply (zenon_or_s _ _ zenon_Haa); [ zenon_intro zenon_Had | zenon_intro zenon_Ha6 ].
% 55.20/55.35 apply (zenon_or_s _ _ zenon_H36e); [ zenon_intro zenon_H244 | zenon_intro zenon_H36f ].
% 55.20/55.35 apply (zenon_L126_); trivial.
% 55.20/55.35 apply (zenon_or_s _ _ zenon_H36f); [ zenon_intro zenon_H371 | zenon_intro zenon_H370 ].
% 55.20/55.35 apply (zenon_and_s _ _ zenon_H371). zenon_intro zenon_H292. zenon_intro zenon_H372.
% 55.20/55.35 apply (zenon_and_s _ _ zenon_H372). zenon_intro zenon_H2a6. zenon_intro zenon_H373.
% 55.20/55.35 apply (zenon_and_s _ _ zenon_H373). zenon_intro zenon_H375. zenon_intro zenon_H374.
% 55.20/55.35 apply (zenon_and_s _ _ zenon_H374). zenon_intro zenon_H29e. zenon_intro zenon_H376.
% 55.20/55.35 apply (zenon_and_s _ _ zenon_H376). zenon_intro zenon_H378. zenon_intro zenon_H377.
% 55.20/55.35 apply (zenon_and_s _ _ zenon_H377). zenon_intro zenon_H37a. zenon_intro zenon_H379.
% 55.20/55.35 apply (zenon_and_s _ _ zenon_H379). zenon_intro zenon_H37c. zenon_intro zenon_H37b.
% 55.20/55.35 apply (zenon_or_s _ _ zenon_H37c); [ zenon_intro zenon_H23f | zenon_intro zenon_H202 ].
% 55.20/55.35 apply (zenon_or_s _ _ zenon_H37b); [ zenon_intro zenon_H20d | zenon_intro zenon_H1c3 ].
% 55.20/55.35 apply (zenon_or_s _ _ zenon_H245); [ zenon_intro zenon_H147 | zenon_intro zenon_H254 ].
% 55.20/55.35 apply (zenon_L60_); trivial.
% 55.20/55.35 apply (zenon_or_s _ _ zenon_H254); [ zenon_intro zenon_H164 | zenon_intro zenon_H255 ].
% 55.20/55.35 apply (zenon_L66_); trivial.
% 55.20/55.35 apply (zenon_or_s _ _ zenon_H255); [ zenon_intro zenon_H197 | zenon_intro zenon_H256 ].
% 55.20/55.35 apply (zenon_L1014_); trivial.
% 55.20/55.35 apply (zenon_or_s _ _ zenon_H256); [ zenon_intro zenon_H199 | zenon_intro zenon_H257 ].
% 55.20/55.35 apply (zenon_L77_); trivial.
% 55.20/55.35 apply (zenon_or_s _ _ zenon_H257); [ zenon_intro zenon_H259 | zenon_intro zenon_H258 ].
% 55.20/55.35 apply (zenon_L1018_); trivial.
% 55.20/55.35 apply (zenon_or_s _ _ zenon_H258); [ zenon_intro zenon_H1a5 | zenon_intro zenon_H262 ].
% 55.20/55.35 apply (zenon_L80_); trivial.
% 55.20/55.35 apply (zenon_or_s _ _ zenon_H262); [ zenon_intro zenon_H1ae | zenon_intro zenon_H263 ].
% 55.20/55.35 apply (zenon_L83_); trivial.
% 55.20/55.35 apply (zenon_or_s _ _ zenon_H263); [ zenon_intro zenon_H212 | zenon_intro zenon_H264 ].
% 55.20/55.35 apply (zenon_and_s _ _ zenon_H212). zenon_intro zenon_H214. zenon_intro zenon_H213.
% 55.20/55.35 apply (zenon_and_s _ _ zenon_H213). zenon_intro zenon_H1ff. zenon_intro zenon_H19c.
% 55.20/55.35 apply (zenon_and_s _ _ zenon_H19c). zenon_intro zenon_H216. zenon_intro zenon_H215.
% 55.20/55.35 apply (zenon_and_s _ _ zenon_H215). zenon_intro zenon_H218. zenon_intro zenon_H217.
% 55.20/55.35 apply (zenon_and_s _ _ zenon_H217). zenon_intro zenon_H219. zenon_intro zenon_H211.
% 55.20/55.35 apply (zenon_or_s _ _ zenon_H216); [ zenon_intro zenon_H1b6 | zenon_intro zenon_H193 ].
% 55.20/55.35 apply (zenon_or_s _ _ zenon_H219); [ zenon_intro zenon_H1bd | zenon_intro zenon_H185 ].
% 55.20/55.35 apply (zenon_L151_); trivial.
% 55.20/55.35 apply (zenon_or_s _ _ zenon_H211); [ zenon_intro zenon_H1c0 | zenon_intro zenon_H1c0 ].
% 55.20/55.35 apply (zenon_L1020_); trivial.
% 55.20/55.35 apply (zenon_L1020_); trivial.
% 55.20/55.35 apply (zenon_L107_); trivial.
% 55.20/55.35 apply (zenon_or_s _ _ zenon_H264); [ zenon_intro zenon_H220 | zenon_intro zenon_H265 ].
% 55.20/55.35 apply (zenon_L110_); trivial.
% 55.20/55.35 apply (zenon_or_s _ _ zenon_H265); [ zenon_intro zenon_H222 | zenon_intro zenon_H266 ].
% 55.20/55.35 apply (zenon_L111_); trivial.
% 55.20/55.35 apply (zenon_or_s _ _ zenon_H266); [ zenon_intro zenon_H225 | zenon_intro zenon_H267 ].
% 55.20/55.35 apply (zenon_L113_); trivial.
% 55.20/55.35 apply (zenon_or_s _ _ zenon_H267); [ zenon_intro zenon_H22d | zenon_intro zenon_H268 ].
% 55.20/55.35 apply (zenon_L114_); trivial.
% 55.20/55.35 apply (zenon_or_s _ _ zenon_H268); [ zenon_intro zenon_H230 | zenon_intro zenon_H269 ].
% 55.20/55.35 apply (zenon_L115_); trivial.
% 55.20/55.35 apply (zenon_or_s _ _ zenon_H269); [ zenon_intro zenon_H232 | zenon_intro zenon_H26a ].
% 55.20/55.36 apply (zenon_L116_); trivial.
% 55.20/55.36 apply (zenon_or_s _ _ zenon_H26a); [ zenon_intro zenon_H240 | zenon_intro zenon_H242 ].
% 55.20/55.36 apply (zenon_L166_); trivial.
% 55.20/55.36 apply (zenon_L125_); trivial.
% 55.20/55.36 apply (zenon_L1019_); trivial.
% 55.20/55.36 apply (zenon_or_s _ _ zenon_H245); [ zenon_intro zenon_H147 | zenon_intro zenon_H254 ].
% 55.20/55.36 apply (zenon_L60_); trivial.
% 55.20/55.36 apply (zenon_or_s _ _ zenon_H254); [ zenon_intro zenon_H164 | zenon_intro zenon_H255 ].
% 55.20/55.36 apply (zenon_L66_); trivial.
% 55.20/55.36 apply (zenon_or_s _ _ zenon_H255); [ zenon_intro zenon_H197 | zenon_intro zenon_H256 ].
% 55.20/55.36 apply (zenon_L1021_); trivial.
% 55.20/55.36 apply (zenon_or_s _ _ zenon_H256); [ zenon_intro zenon_H199 | zenon_intro zenon_H257 ].
% 55.20/55.36 apply (zenon_L77_); trivial.
% 55.20/55.36 apply (zenon_or_s _ _ zenon_H257); [ zenon_intro zenon_H259 | zenon_intro zenon_H258 ].
% 55.20/55.36 apply (zenon_L1024_); trivial.
% 55.20/55.36 apply (zenon_or_s _ _ zenon_H258); [ zenon_intro zenon_H1a5 | zenon_intro zenon_H262 ].
% 55.20/55.36 apply (zenon_L80_); trivial.
% 55.20/55.36 apply (zenon_or_s _ _ zenon_H262); [ zenon_intro zenon_H1ae | zenon_intro zenon_H263 ].
% 55.20/55.36 apply (zenon_L83_); trivial.
% 55.20/55.36 apply (zenon_or_s _ _ zenon_H263); [ zenon_intro zenon_H212 | zenon_intro zenon_H264 ].
% 55.20/55.36 apply (zenon_L169_); trivial.
% 55.20/55.36 apply (zenon_or_s _ _ zenon_H264); [ zenon_intro zenon_H220 | zenon_intro zenon_H265 ].
% 55.20/55.36 apply (zenon_L110_); trivial.
% 55.20/55.36 apply (zenon_or_s _ _ zenon_H265); [ zenon_intro zenon_H222 | zenon_intro zenon_H266 ].
% 55.20/55.36 apply (zenon_L111_); trivial.
% 55.20/55.36 apply (zenon_or_s _ _ zenon_H266); [ zenon_intro zenon_H225 | zenon_intro zenon_H267 ].
% 55.20/55.36 apply (zenon_L113_); trivial.
% 55.20/55.36 apply (zenon_or_s _ _ zenon_H267); [ zenon_intro zenon_H22d | zenon_intro zenon_H268 ].
% 55.20/55.36 apply (zenon_L114_); trivial.
% 55.20/55.36 apply (zenon_or_s _ _ zenon_H268); [ zenon_intro zenon_H230 | zenon_intro zenon_H269 ].
% 55.20/55.36 apply (zenon_L115_); trivial.
% 55.20/55.36 apply (zenon_or_s _ _ zenon_H269); [ zenon_intro zenon_H232 | zenon_intro zenon_H26a ].
% 55.20/55.36 apply (zenon_L116_); trivial.
% 55.20/55.36 apply (zenon_or_s _ _ zenon_H26a); [ zenon_intro zenon_H240 | zenon_intro zenon_H242 ].
% 55.20/55.36 apply (zenon_L166_); trivial.
% 55.20/55.36 apply (zenon_L125_); trivial.
% 55.20/55.36 apply (zenon_or_s _ _ zenon_H370); [ zenon_intro zenon_H335 | zenon_intro zenon_H363 ].
% 55.20/55.36 apply (zenon_L260_); trivial.
% 55.20/55.36 apply (zenon_L307_); trivial.
% 55.20/55.36 apply (zenon_L28_); trivial.
% 55.20/55.36 (* end of lemma zenon_L1025_ *)
% 55.20/55.36 assert (zenon_L1026_ : (((op2 (e21) (e20)) = (e21))/\(((op2 (e20) (e21)) = (e21))/\(((~((op2 (e20) (e20)) = (e20)))\/(~((op2 (e20) (e20)) = (e20))))/\(((~((op2 (e20) (e21)) = (e20)))\/(~((op2 (e20) (e20)) = (e21))))/\(((~((op2 (e20) (e22)) = (e20)))\/(~((op2 (e20) (e20)) = (e22))))/\((~((op2 (e20) (e23)) = (e20)))\/(~((op2 (e20) (e20)) = (e23))))))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> ((e23) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e22)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e20) (e21)) = (e23))\/(((op2 (e20) (e22)) = (e23))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> ((e20) = (op2 (e21) (e21))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e20) (e21)) = (e20))\/(((op2 (e20) (e22)) = (e20))\/((op2 (e20) (e23)) = (e20))))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e12))\/((op1 (e11) (e10)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> ((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) -> ((e12) = (op1 (op1 (op1 (e11) (e11)) (op1 (e11) (e11))) (op1 (e11) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((e10) = (e12))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e11)) = (e12))\/((op1 (e10) (e11)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (((op1 (e13) (e13)) = (e10))\/(((op1 (e13) (e13)) = (e11))\/(((op1 (e13) (e13)) = (e12))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (~((e12) = (e13))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> ((((op1 (e10) (e10)) = (e10))/\(((op1 (e10) (e10)) = (e10))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11))))/\(((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12))))/\((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))))))))\/((((op1 (e10) (e11)) = (e10))/\(((op1 (e11) (e10)) = (e10))/\(((~((op1 (e11) (e10)) = (e11)))\/(~((op1 (e11) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e11) (e12)) = (e11)))\/(~((op1 (e11) (e11)) = (e12))))/\((~((op1 (e11) (e13)) = (e11)))\/(~((op1 (e11) (e11)) = (e13)))))))))\/((((op1 (e10) (e12)) = (e10))/\(((op1 (e12) (e10)) = (e10))/\(((~((op1 (e12) (e10)) = (e12)))\/(~((op1 (e12) (e12)) = (e10))))/\(((~((op1 (e12) (e11)) = (e12)))\/(~((op1 (e12) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13)))))))))\/((((op1 (e10) (e13)) = (e10))/\(((op1 (e13) (e10)) = (e10))/\(((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e13) (e13)) = (e10))))/\(((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11))))/\(((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e13) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13)))))))))\/((((op1 (e11) (e10)) = (e11))/\(((op1 (e10) (e11)) = (e11))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11))))/\(((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12))))/\((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))))))))\/((((op1 (e11) (e11)) = (e11))/\(((op1 (e11) (e11)) = (e11))/\(((~((op1 (e11) (e10)) = (e11)))\/(~((op1 (e11) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e11) (e12)) = (e11)))\/(~((op1 (e11) (e11)) = (e12))))/\((~((op1 (e11) (e13)) = (e11)))\/(~((op1 (e11) (e11)) = (e13)))))))))\/((((op1 (e11) (e12)) = (e11))/\(((op1 (e12) (e11)) = (e11))/\(((~((op1 (e12) (e10)) = (e12)))\/(~((op1 (e12) (e12)) = (e10))))/\(((~((op1 (e12) (e11)) = (e12)))\/(~((op1 (e12) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13)))))))))\/((((op1 (e11) (e13)) = (e11))/\(((op1 (e13) (e11)) = (e11))/\(((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e13) (e13)) = (e10))))/\(((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11))))/\(((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e13) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13)))))))))\/((((op1 (e12) (e10)) = (e12))/\(((op1 (e10) (e12)) = (e12))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11))))/\(((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12))))/\((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))))))))\/((((op1 (e12) (e11)) = (e12))/\(((op1 (e11) (e12)) = (e12))/\(((~((op1 (e11) (e10)) = (e11)))\/(~((op1 (e11) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e11) (e12)) = (e11)))\/(~((op1 (e11) (e11)) = (e12))))/\((~((op1 (e11) (e13)) = (e11)))\/(~((op1 (e11) (e11)) = (e13)))))))))\/((((op1 (e12) (e12)) = (e12))/\(((op1 (e12) (e12)) = (e12))/\(((~((op1 (e12) (e10)) = (e12)))\/(~((op1 (e12) (e12)) = (e10))))/\(((~((op1 (e12) (e11)) = (e12)))\/(~((op1 (e12) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13)))))))))\/((((op1 (e12) (e13)) = (e12))/\(((op1 (e13) (e12)) = (e12))/\(((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e13) (e13)) = (e10))))/\(((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11))))/\(((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e13) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13)))))))))\/((((op1 (e13) (e10)) = (e13))/\(((op1 (e10) (e13)) = (e13))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11))))/\(((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12))))/\((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))))))))\/((((op1 (e13) (e11)) = (e13))/\(((op1 (e11) (e13)) = (e13))/\(((~((op1 (e11) (e10)) = (e11)))\/(~((op1 (e11) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e11) (e12)) = (e11)))\/(~((op1 (e11) (e11)) = (e12))))/\((~((op1 (e11) (e13)) = (e11)))\/(~((op1 (e11) (e11)) = (e13)))))))))\/((((op1 (e13) (e12)) = (e13))/\(((op1 (e12) (e13)) = (e13))/\(((~((op1 (e12) (e10)) = (e12)))\/(~((op1 (e12) (e12)) = (e10))))/\(((~((op1 (e12) (e11)) = (e12)))\/(~((op1 (e12) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13)))))))))\/(((op1 (e13) (e13)) = (e13))/\(((op1 (e13) (e13)) = (e13))/\(((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e13) (e13)) = (e10))))/\(((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11))))/\(((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e13) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13)))))))))))))))))))))))) -> ((e10) = (op1 (e11) (e11))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e20)) = (e20))\/(((op2 (e22) (e20)) = (e20))\/((op2 (e23) (e20)) = (e20))))) -> (~((e20) = (e22))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (((op2 (e23) (e20)) = (e22))\/(((op2 (e23) (e21)) = (e22))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e21)) = (e22))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> ((op2 (e21) (op2 (e21) (e23))) = (e23)) -> (~((op2 (e21) (e22)) = (op2 (e21) (e23)))) -> (((op2 (e21) (e20)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/((op2 (e21) (e23)) = (e23))))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> ((op2 (e21) (op2 (e21) (e22))) = (e22)) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> (((op2 (e22) (e22)) = (e20))\/(((op2 (e22) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e22)) = (e23))))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e22) (e22)) = (e21))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (((op2 (e23) (e22)) = (e20))\/(((op2 (e23) (e22)) = (e21))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e22)) = (e23))))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> ((h2 (e12)) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> ((h2 (e13)) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((h2 (e11)) = (e21)) -> (~((h2 (op1 (e13) (e12))) = (op2 (h2 (e13)) (h2 (e12))))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e20) (e22)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e23) (e22)) = (e23))))) -> ((e22) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e10)) = (e12))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e13) (e10)) = (e12))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (((op2 (e20) (e20)) = (e22))\/(((op2 (e21) (e20)) = (e22))\/(((op2 (e22) (e20)) = (e22))\/((op2 (e23) (e20)) = (e22))))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (((op1 (e10) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e12) (e11)) = (e13))))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e12) (e13)) = (e10))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> ((((op1 (e10) (op1 (e10) (e10))) = (e10))/\(((op1 (e10) (op1 (e10) (e11))) = (e11))/\(((op1 (e10) (op1 (e10) (e12))) = (e12))/\(((op1 (e10) (op1 (e10) (e13))) = (e13))/\(((~((op1 (e10) (e10)) = (e10)))\/((op1 (e10) (e10)) = (e10)))/\(((~((op1 (e11) (e11)) = (e10)))\/((op1 (e11) (e10)) = (e11)))/\(((~((op1 (e12) (e12)) = (e10)))\/((op1 (e12) (e10)) = (e12)))/\((~((op1 (e13) (e13)) = (e10)))\/((op1 (e13) (e10)) = (e13))))))))))\/((((op1 (e11) (op1 (e11) (e10))) = (e10))/\(((op1 (e11) (op1 (e11) (e11))) = (e11))/\(((op1 (e11) (op1 (e11) (e12))) = (e12))/\(((op1 (e11) (op1 (e11) (e13))) = (e13))/\(((~((op1 (e10) (e10)) = (e11)))\/((op1 (e10) (e11)) = (e10)))/\(((~((op1 (e11) (e11)) = (e11)))\/((op1 (e11) (e11)) = (e11)))/\(((~((op1 (e12) (e12)) = (e11)))\/((op1 (e12) (e11)) = (e12)))/\((~((op1 (e13) (e13)) = (e11)))\/((op1 (e13) (e11)) = (e13))))))))))\/((((op1 (e12) (op1 (e12) (e10))) = (e10))/\(((op1 (e12) (op1 (e12) (e11))) = (e11))/\(((op1 (e12) (op1 (e12) (e12))) = (e12))/\(((op1 (e12) (op1 (e12) (e13))) = (e13))/\(((~((op1 (e10) (e10)) = (e12)))\/((op1 (e10) (e12)) = (e10)))/\(((~((op1 (e11) (e11)) = (e12)))\/((op1 (e11) (e12)) = (e11)))/\(((~((op1 (e12) (e12)) = (e12)))\/((op1 (e12) (e12)) = (e12)))/\((~((op1 (e13) (e13)) = (e12)))\/((op1 (e13) (e12)) = (e13))))))))))\/(((op1 (e13) (op1 (e13) (e10))) = (e10))/\(((op1 (e13) (op1 (e13) (e11))) = (e11))/\(((op1 (e13) (op1 (e13) (e12))) = (e12))/\(((op1 (e13) (op1 (e13) (e13))) = (e13))/\(((~((op1 (e10) (e10)) = (e13)))\/((op1 (e10) (e13)) = (e10)))/\(((~((op1 (e11) (e11)) = (e13)))\/((op1 (e11) (e13)) = (e11)))/\(((~((op1 (e12) (e12)) = (e13)))\/((op1 (e12) (e13)) = (e12)))/\((~((op1 (e13) (e13)) = (e13)))\/((op1 (e13) (e13)) = (e13))))))))))))) -> False).
% 55.20/55.36 do 0 intro. intros zenon_Hb6 zenon_H93 zenon_H3b zenon_H98 zenon_H9f zenon_Ha5 zenon_H8d zenon_H33 zenon_Hac zenon_H15f zenon_H15a zenon_H15 zenon_H155 zenon_H154 zenon_H14b zenon_H186 zenon_H180 zenon_H179 zenon_H172 zenon_H16c zenon_H18a zenon_H18e zenon_H192 zenon_H246 zenon_H19d zenon_H1a0 zenon_H25 zenon_H1e zenon_H17 zenon_H1a9 zenon_H209 zenon_H206 zenon_H204 zenon_H1fd zenon_H1fa zenon_H1f7 zenon_H1f4 zenon_H1ed zenon_H1e8 zenon_H1da zenon_H1d8 zenon_H1cc zenon_H1de zenon_H1b1 zenon_H1be zenon_H20c zenon_H21a zenon_H236 zenon_H23b zenon_H245 zenon_H13 zenon_H4e6 zenon_H4e2 zenon_H6e zenon_H74 zenon_H4ae zenon_H45 zenon_H3b4 zenon_H39d zenon_H282 zenon_H60 zenon_H3af zenon_H3b1 zenon_H116 zenon_H395 zenon_H47a zenon_H399 zenon_H489 zenon_H481 zenon_H3a8 zenon_H3c2 zenon_H100 zenon_H40c zenon_H101 zenon_H37d zenon_H437 zenon_H3f4 zenon_Hfc zenon_H67 zenon_H358 zenon_H325 zenon_H44f zenon_H461 zenon_H270 zenon_H534 zenon_H2c9 zenon_H3cb zenon_H43a zenon_H3f zenon_H3e zenon_H32 zenon_H4c3 zenon_H4df zenon_Hb7 zenon_Hb0 zenon_H2b9 zenon_H2c0 zenon_H2c2 zenon_H2a3 zenon_H2a5 zenon_H2ad zenon_H2b1 zenon_H30e zenon_H32b zenon_H4c2 zenon_H2e7 zenon_H32e zenon_H2fd zenon_H2fb zenon_H2f6 zenon_H2f8 zenon_H328 zenon_H322 zenon_H321 zenon_H301 zenon_H30b zenon_H313 zenon_H316 zenon_H2ea zenon_H2e2 zenon_H2e6 zenon_H2d9 zenon_H2d1 zenon_H35d zenon_H360 zenon_H345 zenon_H355 zenon_H36e.
% 55.20/55.36 apply (zenon_and_s _ _ zenon_Hb6). zenon_intro zenon_H4e. zenon_intro zenon_Hb8.
% 55.20/55.36 apply (zenon_and_s _ _ zenon_Hb8). zenon_intro zenon_Hb9. zenon_intro zenon_H2e.
% 55.20/55.36 apply (zenon_and_s _ _ zenon_H2e). zenon_intro zenon_H30. zenon_intro zenon_H2f.
% 55.20/55.36 apply (zenon_and_s _ _ zenon_H2f). zenon_intro zenon_Hbb. zenon_intro zenon_Hba.
% 55.20/55.36 apply (zenon_and_s _ _ zenon_Hba). zenon_intro zenon_Hbc. zenon_intro zenon_Haa.
% 55.20/55.36 apply (zenon_or_s _ _ zenon_H30); [ zenon_intro zenon_H31 | zenon_intro zenon_H31 ].
% 55.20/55.36 apply (zenon_L1025_); trivial.
% 55.20/55.36 apply (zenon_L1025_); trivial.
% 55.20/55.36 (* end of lemma zenon_L1026_ *)
% 55.20/55.36 assert (zenon_L1027_ : (((op2 (e20) (e22)) = (e20))/\(((op2 (e22) (e20)) = (e20))/\(((~((op2 (e22) (e20)) = (e22)))\/(~((op2 (e22) (e22)) = (e20))))/\(((~((op2 (e22) (e21)) = (e22)))\/(~((op2 (e22) (e22)) = (e21))))/\(((~((op2 (e22) (e22)) = (e22)))\/(~((op2 (e22) (e22)) = (e22))))/\((~((op2 (e22) (e23)) = (e22)))\/(~((op2 (e22) (e22)) = (e23))))))))) -> ((((op1 (e10) (op1 (e10) (e10))) = (e10))/\(((op1 (e10) (op1 (e10) (e11))) = (e11))/\(((op1 (e10) (op1 (e10) (e12))) = (e12))/\(((op1 (e10) (op1 (e10) (e13))) = (e13))/\(((~((op1 (e10) (e10)) = (e10)))\/((op1 (e10) (e10)) = (e10)))/\(((~((op1 (e11) (e11)) = (e10)))\/((op1 (e11) (e10)) = (e11)))/\(((~((op1 (e12) (e12)) = (e10)))\/((op1 (e12) (e10)) = (e12)))/\((~((op1 (e13) (e13)) = (e10)))\/((op1 (e13) (e10)) = (e13))))))))))\/((((op1 (e11) (op1 (e11) (e10))) = (e10))/\(((op1 (e11) (op1 (e11) (e11))) = (e11))/\(((op1 (e11) (op1 (e11) (e12))) = (e12))/\(((op1 (e11) (op1 (e11) (e13))) = (e13))/\(((~((op1 (e10) (e10)) = (e11)))\/((op1 (e10) (e11)) = (e10)))/\(((~((op1 (e11) (e11)) = (e11)))\/((op1 (e11) (e11)) = (e11)))/\(((~((op1 (e12) (e12)) = (e11)))\/((op1 (e12) (e11)) = (e12)))/\((~((op1 (e13) (e13)) = (e11)))\/((op1 (e13) (e11)) = (e13))))))))))\/((((op1 (e12) (op1 (e12) (e10))) = (e10))/\(((op1 (e12) (op1 (e12) (e11))) = (e11))/\(((op1 (e12) (op1 (e12) (e12))) = (e12))/\(((op1 (e12) (op1 (e12) (e13))) = (e13))/\(((~((op1 (e10) (e10)) = (e12)))\/((op1 (e10) (e12)) = (e10)))/\(((~((op1 (e11) (e11)) = (e12)))\/((op1 (e11) (e12)) = (e11)))/\(((~((op1 (e12) (e12)) = (e12)))\/((op1 (e12) (e12)) = (e12)))/\((~((op1 (e13) (e13)) = (e12)))\/((op1 (e13) (e12)) = (e13))))))))))\/(((op1 (e13) (op1 (e13) (e10))) = (e10))/\(((op1 (e13) (op1 (e13) (e11))) = (e11))/\(((op1 (e13) (op1 (e13) (e12))) = (e12))/\(((op1 (e13) (op1 (e13) (e13))) = (e13))/\(((~((op1 (e10) (e10)) = (e13)))\/((op1 (e10) (e13)) = (e10)))/\(((~((op1 (e11) (e11)) = (e13)))\/((op1 (e11) (e13)) = (e11)))/\(((~((op1 (e12) (e12)) = (e13)))\/((op1 (e12) (e13)) = (e12)))/\((~((op1 (e13) (e13)) = (e13)))\/((op1 (e13) (e13)) = (e13))))))))))))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e12) (e13)) = (e10))))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e12) (e11)) = (e13))))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e10)) = (e12))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e13) (e10)) = (e12))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e20) (e21)) = (e23))\/(((op2 (e20) (e22)) = (e23))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e22)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> (((op2 (e23) (e22)) = (e20))\/(((op2 (e23) (e22)) = (e21))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e22)) = (e23))))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> ((e20) = (op2 (e21) (e21))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> ((e22) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> ((h2 (e12)) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> ((e23) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((h2 (e13)) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((h2 (e11)) = (e21)) -> (~((h2 (op1 (e13) (e12))) = (op2 (h2 (e13)) (h2 (e12))))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e22) (e22)) = (e20))\/(((op2 (e22) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e22)) = (e23))))) -> ((e10) = (op1 (e11) (e11))) -> ((((op1 (e10) (e10)) = (e10))/\(((op1 (e10) (e10)) = (e10))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11))))/\(((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12))))/\((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))))))))\/((((op1 (e10) (e11)) = (e10))/\(((op1 (e11) (e10)) = (e10))/\(((~((op1 (e11) (e10)) = (e11)))\/(~((op1 (e11) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e11) (e12)) = (e11)))\/(~((op1 (e11) (e11)) = (e12))))/\((~((op1 (e11) (e13)) = (e11)))\/(~((op1 (e11) (e11)) = (e13)))))))))\/((((op1 (e10) (e12)) = (e10))/\(((op1 (e12) (e10)) = (e10))/\(((~((op1 (e12) (e10)) = (e12)))\/(~((op1 (e12) (e12)) = (e10))))/\(((~((op1 (e12) (e11)) = (e12)))\/(~((op1 (e12) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13)))))))))\/((((op1 (e10) (e13)) = (e10))/\(((op1 (e13) (e10)) = (e10))/\(((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e13) (e13)) = (e10))))/\(((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11))))/\(((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e13) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13)))))))))\/((((op1 (e11) (e10)) = (e11))/\(((op1 (e10) (e11)) = (e11))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11))))/\(((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12))))/\((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))))))))\/((((op1 (e11) (e11)) = (e11))/\(((op1 (e11) (e11)) = (e11))/\(((~((op1 (e11) (e10)) = (e11)))\/(~((op1 (e11) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e11) (e12)) = (e11)))\/(~((op1 (e11) (e11)) = (e12))))/\((~((op1 (e11) (e13)) = (e11)))\/(~((op1 (e11) (e11)) = (e13)))))))))\/((((op1 (e11) (e12)) = (e11))/\(((op1 (e12) (e11)) = (e11))/\(((~((op1 (e12) (e10)) = (e12)))\/(~((op1 (e12) (e12)) = (e10))))/\(((~((op1 (e12) (e11)) = (e12)))\/(~((op1 (e12) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13)))))))))\/((((op1 (e11) (e13)) = (e11))/\(((op1 (e13) (e11)) = (e11))/\(((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e13) (e13)) = (e10))))/\(((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11))))/\(((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e13) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13)))))))))\/((((op1 (e12) (e10)) = (e12))/\(((op1 (e10) (e12)) = (e12))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11))))/\(((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12))))/\((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))))))))\/((((op1 (e12) (e11)) = (e12))/\(((op1 (e11) (e12)) = (e12))/\(((~((op1 (e11) (e10)) = (e11)))\/(~((op1 (e11) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e11) (e12)) = (e11)))\/(~((op1 (e11) (e11)) = (e12))))/\((~((op1 (e11) (e13)) = (e11)))\/(~((op1 (e11) (e11)) = (e13)))))))))\/((((op1 (e12) (e12)) = (e12))/\(((op1 (e12) (e12)) = (e12))/\(((~((op1 (e12) (e10)) = (e12)))\/(~((op1 (e12) (e12)) = (e10))))/\(((~((op1 (e12) (e11)) = (e12)))\/(~((op1 (e12) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13)))))))))\/((((op1 (e12) (e13)) = (e12))/\(((op1 (e13) (e12)) = (e12))/\(((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e13) (e13)) = (e10))))/\(((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11))))/\(((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e13) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13)))))))))\/((((op1 (e13) (e10)) = (e13))/\(((op1 (e10) (e13)) = (e13))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11))))/\(((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12))))/\((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))))))))\/((((op1 (e13) (e11)) = (e13))/\(((op1 (e11) (e13)) = (e13))/\(((~((op1 (e11) (e10)) = (e11)))\/(~((op1 (e11) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e11) (e12)) = (e11)))\/(~((op1 (e11) (e11)) = (e12))))/\((~((op1 (e11) (e13)) = (e11)))\/(~((op1 (e11) (e11)) = (e13)))))))))\/((((op1 (e13) (e12)) = (e13))/\(((op1 (e12) (e13)) = (e13))/\(((~((op1 (e12) (e10)) = (e12)))\/(~((op1 (e12) (e12)) = (e10))))/\(((~((op1 (e12) (e11)) = (e12)))\/(~((op1 (e12) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13)))))))))\/(((op1 (e13) (e13)) = (e13))/\(((op1 (e13) (e13)) = (e13))/\(((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e13) (e13)) = (e10))))/\(((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11))))/\(((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e13) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13)))))))))))))))))))))))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((e12) = (e13))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e13) (e13)) = (e10))\/(((op1 (e13) (e13)) = (e11))\/(((op1 (e13) (e13)) = (e12))\/((op1 (e13) (e13)) = (e13))))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (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) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e11)) = (e12))\/((op1 (e10) (e11)) = (e13))))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((e10) = (e12))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> ((e12) = (op1 (op1 (op1 (e11) (e11)) (op1 (e11) (e11))) (op1 (e11) (e11)))) -> ((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e12))\/((op1 (e11) (e10)) = (e13))))) -> ((op2 (e22) (e21)) = (e22)) -> False).
% 55.20/55.36 do 0 intro. intros zenon_H77 zenon_H36e zenon_H355 zenon_H345 zenon_H360 zenon_H35d zenon_H2d1 zenon_H2d9 zenon_H2e6 zenon_H2e2 zenon_H2ea zenon_H316 zenon_H313 zenon_H30b zenon_H301 zenon_H321 zenon_H322 zenon_H328 zenon_H2f8 zenon_H2f6 zenon_H2fb zenon_H2fd zenon_H32e zenon_H4c2 zenon_H2e7 zenon_H32b zenon_H30e zenon_H2b1 zenon_H2ad zenon_H2a5 zenon_H2a3 zenon_H2c2 zenon_H2c0 zenon_H2b9 zenon_H4c3 zenon_H4df zenon_Ha5 zenon_H9f zenon_H98 zenon_H93 zenon_H37d zenon_H3f4 zenon_Hfc zenon_H33 zenon_H67 zenon_H358 zenon_H325 zenon_H3f zenon_H44f zenon_H3b zenon_H461 zenon_H270 zenon_H534 zenon_H2c9 zenon_H3cb zenon_H100 zenon_H13 zenon_H245 zenon_H23b zenon_H236 zenon_H21a zenon_H20c zenon_H1be zenon_H1b1 zenon_H1de zenon_H1cc zenon_H1d8 zenon_H1da zenon_H1e8 zenon_H1ed zenon_H1f4 zenon_H1f7 zenon_H1fa zenon_H1fd zenon_H204 zenon_H206 zenon_H209 zenon_H1a9 zenon_H17 zenon_H1e zenon_H25 zenon_H1a0 zenon_H19d zenon_H246 zenon_H192 zenon_H18e zenon_H18a zenon_H16c zenon_H172 zenon_H179 zenon_H180 zenon_H186 zenon_H14b zenon_H154 zenon_H155 zenon_H15 zenon_H15a zenon_H15f zenon_Hd3.
% 55.20/55.36 apply (zenon_and_s _ _ zenon_H77). zenon_intro zenon_H57. zenon_intro zenon_H78.
% 55.20/55.36 apply (zenon_and_s _ _ zenon_H78). zenon_intro zenon_H121. zenon_intro zenon_Hda.
% 55.20/55.36 apply (zenon_and_s _ _ zenon_Hda). zenon_intro zenon_Hdc. zenon_intro zenon_Hdb.
% 55.20/55.36 apply (zenon_and_s _ _ zenon_Hdb). zenon_intro zenon_Hde. zenon_intro zenon_Hdd.
% 55.20/55.36 apply (zenon_and_s _ _ zenon_Hdd). zenon_intro zenon_Hd5. zenon_intro zenon_Hdf.
% 55.20/55.36 apply (zenon_or_s _ _ zenon_Hde); [ zenon_intro zenon_Hf2 | zenon_intro zenon_H101 ].
% 55.20/55.36 exact (zenon_Hf2 zenon_Hd3).
% 55.20/55.36 apply (zenon_L1010_); trivial.
% 55.20/55.36 (* end of lemma zenon_L1027_ *)
% 55.20/55.36 assert (zenon_L1028_ : (((op2 (e22) (e20)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e22) (e23)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> (~((e22) = (e23))) -> ((op2 (e22) (e21)) = (e22)) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> ((op2 (e20) (e20)) = (e23)) -> ((e22) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> ((op1 (e11) (op1 (e11) (e13))) = (e13)) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> ((e12) = (op1 (op1 (op1 (e11) (e11)) (op1 (e11) (e11))) (op1 (e11) (e11)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> ((h2 (e13)) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((h2 (e12)) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> ((h2 (e11)) = (e21)) -> (~((h2 (op1 (e13) (e12))) = (op2 (h2 (e13)) (h2 (e12))))) -> (~((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) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e12))\/((op1 (e11) (e10)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> ((op1 (e11) (op1 (e11) (e10))) = (e10)) -> ((op1 (e12) (e10)) = (e10)) -> (~((op1 (e12) (e12)) = (e11))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> ((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) -> ((e10) = (op1 (e11) (e11))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> ((op2 (e20) (e22)) = (e20)) -> (((op2 (e23) (e22)) = (e20))\/(((op2 (e23) (e22)) = (e21))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e22)) = (e23))))) -> ((e23) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((op2 (e21) (e21)) = (e23)) -> ((e20) = (op2 (e21) (e21))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> False).
% 55.20/55.36 do 0 intro. intros zenon_H3f1 zenon_H11f zenon_Hec zenon_Hd3 zenon_Hfc zenon_Ha8 zenon_H3f zenon_H67 zenon_H1a0 zenon_H29e zenon_H1f4 zenon_H155 zenon_H179 zenon_H461 zenon_H44f zenon_H270 zenon_H534 zenon_H18e zenon_H18f zenon_H325 zenon_H15f zenon_H14b zenon_H180 zenon_H172 zenon_H1da zenon_H1de zenon_H292 zenon_H293 zenon_H23f zenon_H1cc zenon_H1d8 zenon_H186 zenon_H154 zenon_H15a zenon_H2c9 zenon_H358 zenon_H1fa zenon_H17 zenon_H1e zenon_H15 zenon_H13 zenon_H25 zenon_H3cb zenon_H57 zenon_H3f4 zenon_H3b zenon_H388 zenon_H33 zenon_H116.
% 55.20/55.36 apply (zenon_or_s _ _ zenon_H3f1); [ zenon_intro zenon_H3df | zenon_intro zenon_H3f2 ].
% 55.20/55.36 apply (zenon_L364_); trivial.
% 55.20/55.36 apply (zenon_or_s _ _ zenon_H3f2); [ zenon_intro zenon_H3ba | zenon_intro zenon_H3f3 ].
% 55.20/55.36 apply (zenon_L350_); trivial.
% 55.20/55.36 apply (zenon_or_s _ _ zenon_H3f3); [ zenon_intro zenon_Hf6 | zenon_intro zenon_Heb ].
% 55.20/55.36 apply (zenon_L989_); trivial.
% 55.20/55.36 apply (zenon_L323_); trivial.
% 55.20/55.36 (* end of lemma zenon_L1028_ *)
% 55.20/55.36 assert (zenon_L1029_ : (((op2 (e22) (e20)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e22) (e23)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> (~((e22) = (e23))) -> ((op2 (e22) (e21)) = (e22)) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> ((e20) = (op2 (e21) (e21))) -> ((op2 (e20) (e20)) = (e23)) -> ((e23) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((e22) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> ((op1 (e11) (op1 (e11) (e13))) = (e13)) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> ((e12) = (op1 (op1 (op1 (e11) (e11)) (op1 (e11) (e11))) (op1 (e11) (e11)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> ((h2 (e13)) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((h2 (e12)) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> ((h2 (e11)) = (e21)) -> (~((h2 (op1 (e13) (e12))) = (op2 (h2 (e13)) (h2 (e12))))) -> (~((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) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e12))\/((op1 (e11) (e10)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> ((op1 (e11) (op1 (e11) (e10))) = (e10)) -> ((op1 (e12) (e10)) = (e10)) -> (~((op1 (e12) (e12)) = (e11))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> ((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) -> ((e10) = (op1 (e11) (e11))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> ((op2 (e20) (e22)) = (e20)) -> (((op2 (e23) (e22)) = (e20))\/(((op2 (e23) (e22)) = (e21))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e22)) = (e23))))) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> ((op2 (e21) (op2 (e21) (e23))) = (e23)) -> ((op2 (e21) (e23)) = (e23)) -> False).
% 55.20/55.36 do 0 intro. intros zenon_H3f1 zenon_H11f zenon_Hec zenon_Hd3 zenon_Hfc zenon_H33 zenon_Ha8 zenon_H3b zenon_H3f zenon_H67 zenon_H1a0 zenon_H29e zenon_H1f4 zenon_H155 zenon_H179 zenon_H461 zenon_H44f zenon_H270 zenon_H534 zenon_H18e zenon_H18f zenon_H325 zenon_H15f zenon_H14b zenon_H180 zenon_H172 zenon_H1da zenon_H1de zenon_H292 zenon_H293 zenon_H23f zenon_H1cc zenon_H1d8 zenon_H186 zenon_H154 zenon_H15a zenon_H2c9 zenon_H358 zenon_H1fa zenon_H17 zenon_H1e zenon_H15 zenon_H13 zenon_H25 zenon_H3cb zenon_H57 zenon_H3f4 zenon_H394 zenon_H395 zenon_He9.
% 55.20/55.36 apply (zenon_or_s _ _ zenon_H3f1); [ zenon_intro zenon_H3df | zenon_intro zenon_H3f2 ].
% 55.20/55.36 apply (zenon_L364_); trivial.
% 55.20/55.36 apply (zenon_or_s _ _ zenon_H3f2); [ zenon_intro zenon_H3ba | zenon_intro zenon_H3f3 ].
% 55.20/55.36 apply (zenon_L350_); trivial.
% 55.20/55.36 apply (zenon_or_s _ _ zenon_H3f3); [ zenon_intro zenon_Hf6 | zenon_intro zenon_Heb ].
% 55.20/55.36 apply (zenon_L989_); trivial.
% 55.20/55.36 apply (zenon_L326_); trivial.
% 55.20/55.36 (* end of lemma zenon_L1029_ *)
% 55.20/55.36 assert (zenon_L1030_ : (((op2 (e22) (e20)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e22) (e23)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> (~((e22) = (e23))) -> ((op2 (e22) (e21)) = (e22)) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> ((op2 (e20) (e20)) = (e23)) -> ((e22) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> ((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) -> ((e10) = (op1 (e11) (e11))) -> ((e12) = (op1 (op1 (op1 (e11) (e11)) (op1 (e11) (e11))) (op1 (e11) (e11)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((e10) = (e12))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e10)) = (e12))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e13) (e10)) = (e12))))) -> (~((op1 (e10) (e10)) = (e12))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> ((op1 (e11) (op1 (e11) (e13))) = (e13)) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> ((h2 (e13)) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((h2 (e12)) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> ((h2 (e11)) = (e21)) -> (~((h2 (op1 (e13) (e12))) = (op2 (h2 (e13)) (h2 (e12))))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> ((op1 (e11) (op1 (e11) (e10))) = (e10)) -> ((op1 (e11) (e10)) = (e11)) -> (~((op1 (e12) (e12)) = (e11))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (~((op1 (e10) (e10)) = (e10))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (~((op1 (e10) (e13)) = (e10))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> ((op2 (e20) (e22)) = (e20)) -> (((op2 (e23) (e22)) = (e20))\/(((op2 (e23) (e22)) = (e21))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e22)) = (e23))))) -> ((e23) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((op2 (e21) (e21)) = (e23)) -> ((e20) = (op2 (e21) (e21))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> False).
% 55.20/55.36 do 0 intro. intros zenon_H3f1 zenon_H11f zenon_Hec zenon_Hd3 zenon_Hfc zenon_Ha8 zenon_H3f zenon_H67 zenon_H246 zenon_H19d zenon_H180 zenon_H15 zenon_H13 zenon_H155 zenon_H179 zenon_H172 zenon_H16c zenon_H186 zenon_H4c3 zenon_H4c4 zenon_H21a zenon_H1a0 zenon_H29e zenon_H1f4 zenon_H461 zenon_H44f zenon_H270 zenon_H534 zenon_H18e zenon_H325 zenon_H1da zenon_H1de zenon_H292 zenon_H163 zenon_H23f zenon_H1cc zenon_H1d8 zenon_H2c9 zenon_H358 zenon_H154 zenon_H1fa zenon_H17 zenon_H1e zenon_H25 zenon_H14b zenon_H146 zenon_H4df zenon_H25f zenon_H3cb zenon_H57 zenon_H3f4 zenon_H3b zenon_H388 zenon_H33 zenon_H116.
% 55.20/55.36 apply (zenon_or_s _ _ zenon_H3f1); [ zenon_intro zenon_H3df | zenon_intro zenon_H3f2 ].
% 55.20/55.36 apply (zenon_L364_); trivial.
% 55.20/55.36 apply (zenon_or_s _ _ zenon_H3f2); [ zenon_intro zenon_H3ba | zenon_intro zenon_H3f3 ].
% 55.20/55.36 apply (zenon_L350_); trivial.
% 55.20/55.36 apply (zenon_or_s _ _ zenon_H3f3); [ zenon_intro zenon_Hf6 | zenon_intro zenon_Heb ].
% 55.20/55.36 apply (zenon_L994_); trivial.
% 55.20/55.36 apply (zenon_L323_); trivial.
% 55.20/55.36 (* end of lemma zenon_L1030_ *)
% 55.20/55.36 assert (zenon_L1031_ : (((op2 (e22) (e20)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e22) (e23)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> (~((e22) = (e23))) -> ((op2 (e22) (e21)) = (e22)) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> ((e20) = (op2 (e21) (e21))) -> ((op2 (e20) (e20)) = (e23)) -> ((e23) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((e22) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> ((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) -> ((e10) = (op1 (e11) (e11))) -> ((e12) = (op1 (op1 (op1 (e11) (e11)) (op1 (e11) (e11))) (op1 (e11) (e11)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((e10) = (e12))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e10)) = (e12))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e13) (e10)) = (e12))))) -> (~((op1 (e10) (e10)) = (e12))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> ((op1 (e11) (op1 (e11) (e13))) = (e13)) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> ((h2 (e13)) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((h2 (e12)) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> ((h2 (e11)) = (e21)) -> (~((h2 (op1 (e13) (e12))) = (op2 (h2 (e13)) (h2 (e12))))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> ((op1 (e11) (op1 (e11) (e10))) = (e10)) -> ((op1 (e11) (e10)) = (e11)) -> (~((op1 (e12) (e12)) = (e11))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (~((op1 (e10) (e10)) = (e10))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (~((op1 (e10) (e13)) = (e10))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> ((op2 (e20) (e22)) = (e20)) -> (((op2 (e23) (e22)) = (e20))\/(((op2 (e23) (e22)) = (e21))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e22)) = (e23))))) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> ((op2 (e21) (op2 (e21) (e23))) = (e23)) -> ((op2 (e21) (e23)) = (e23)) -> False).
% 55.20/55.36 do 0 intro. intros zenon_H3f1 zenon_H11f zenon_Hec zenon_Hd3 zenon_Hfc zenon_H33 zenon_Ha8 zenon_H3b zenon_H3f zenon_H67 zenon_H246 zenon_H19d zenon_H180 zenon_H15 zenon_H13 zenon_H155 zenon_H179 zenon_H172 zenon_H16c zenon_H186 zenon_H4c3 zenon_H4c4 zenon_H21a zenon_H1a0 zenon_H29e zenon_H1f4 zenon_H461 zenon_H44f zenon_H270 zenon_H534 zenon_H18e zenon_H325 zenon_H1da zenon_H1de zenon_H292 zenon_H163 zenon_H23f zenon_H1cc zenon_H1d8 zenon_H2c9 zenon_H358 zenon_H154 zenon_H1fa zenon_H17 zenon_H1e zenon_H25 zenon_H14b zenon_H146 zenon_H4df zenon_H25f zenon_H3cb zenon_H57 zenon_H3f4 zenon_H394 zenon_H395 zenon_He9.
% 55.20/55.36 apply (zenon_or_s _ _ zenon_H3f1); [ zenon_intro zenon_H3df | zenon_intro zenon_H3f2 ].
% 55.20/55.36 apply (zenon_L364_); trivial.
% 55.20/55.36 apply (zenon_or_s _ _ zenon_H3f2); [ zenon_intro zenon_H3ba | zenon_intro zenon_H3f3 ].
% 55.20/55.36 apply (zenon_L350_); trivial.
% 55.20/55.36 apply (zenon_or_s _ _ zenon_H3f3); [ zenon_intro zenon_Hf6 | zenon_intro zenon_Heb ].
% 55.20/55.36 apply (zenon_L994_); trivial.
% 55.20/55.36 apply (zenon_L326_); trivial.
% 55.20/55.36 (* end of lemma zenon_L1031_ *)
% 55.20/55.36 assert (zenon_L1032_ : ((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12)))) -> (((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))))) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> ((op2 (e21) (op2 (e21) (e23))) = (e23)) -> (~((op2 (e20) (e23)) = (e20))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> ((op2 (e20) (e21)) = (e21)) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> ((op2 (e21) (op2 (e21) (e22))) = (e22)) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> (~((e22) = (e23))) -> ((op2 (e22) (e21)) = (e22)) -> (((op2 (e23) (e22)) = (e20))\/(((op2 (e23) (e22)) = (e21))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e22)) = (e23))))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (~((e10) = (e12))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> ((e12) = (op1 (op1 (op1 (e11) (e11)) (op1 (e11) (e11))) (op1 (e11) (e11)))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((h2 (op1 (e13) (e12))) = (op2 (h2 (e13)) (h2 (e12))))) -> ((h2 (e11)) = (e21)) -> ((h2 (e13)) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((h2 (e12)) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> ((e22) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e12)) = (e11))) -> ((op1 (e11) (e10)) = (e11)) -> ((op1 (e11) (op1 (e11) (e10))) = (e10)) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> ((op1 (e11) (op1 (e11) (e13))) = (e13)) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e10)) = (e12))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e13) (e10)) = (e12))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e22) (e20)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e22) (e23)) = (e23))))) -> ((e23) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e22)))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e20) (e21)) = (e23))\/(((op2 (e20) (e22)) = (e23))\/((op2 (e20) (e23)) = (e23))))) -> ((e20) = (op2 (e21) (e21))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> (~((op2 (e20) (e20)) = (e20))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> ((e10) = (op1 (e11) (e11))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (~((op1 (e10) (e10)) = (e10))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> ((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> ((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))) -> False).
% 55.20/55.36 do 0 intro. intros zenon_H25e zenon_Hac zenon_H399 zenon_H394 zenon_H395 zenon_Had zenon_H3c2 zenon_Hb9 zenon_H3a8 zenon_H481 zenon_H9f zenon_H489 zenon_H11f zenon_Hec zenon_Hd3 zenon_H3f4 zenon_Hfc zenon_H67 zenon_H4df zenon_H16c zenon_H172 zenon_H180 zenon_H186 zenon_H154 zenon_H155 zenon_H21a zenon_H2c9 zenon_H18e zenon_H534 zenon_H270 zenon_H461 zenon_H44f zenon_H3f zenon_H179 zenon_H1d8 zenon_H325 zenon_H358 zenon_H1da zenon_H1cc zenon_H23f zenon_H163 zenon_H292 zenon_H1de zenon_H29e zenon_H1f4 zenon_H1fa zenon_H4c3 zenon_H14b zenon_H3cb zenon_H116 zenon_H3f1 zenon_H3b zenon_H45 zenon_H93 zenon_H98 zenon_Ha5 zenon_H33 zenon_H8d zenon_H31 zenon_H246 zenon_H13 zenon_H19d zenon_H146 zenon_H1a0 zenon_H25 zenon_H1e zenon_H15 zenon_H17 zenon_H25d.
% 55.20/55.36 apply (zenon_or_s _ _ zenon_H25e); [ zenon_intro zenon_H458 | zenon_intro zenon_H4c4 ].
% 55.20/55.36 apply (zenon_L629_); trivial.
% 55.20/55.36 apply (zenon_or_s _ _ zenon_H25d); [ zenon_intro zenon_H25f | zenon_intro zenon_H1a1 ].
% 55.20/55.36 apply (zenon_or_s _ _ zenon_Hac); [ zenon_intro zenon_H2d | zenon_intro zenon_Hae ].
% 55.20/55.36 exact (zenon_H31 zenon_H2d).
% 55.20/55.36 apply (zenon_or_s _ _ zenon_Hae); [ zenon_intro zenon_H51 | zenon_intro zenon_Haf ].
% 55.20/55.36 apply (zenon_L24_); trivial.
% 55.20/55.36 apply (zenon_or_s _ _ zenon_Haf); [ zenon_intro zenon_H57 | zenon_intro zenon_H8b ].
% 55.20/55.36 apply (zenon_or_s _ _ zenon_Ha5); [ zenon_intro zenon_Ha8 | zenon_intro zenon_Ha7 ].
% 55.20/55.36 apply (zenon_or_s _ _ zenon_H399); [ zenon_intro zenon_H44 | zenon_intro zenon_H39a ].
% 55.20/55.36 apply (zenon_L10_); trivial.
% 55.20/55.36 apply (zenon_or_s _ _ zenon_H39a); [ zenon_intro zenon_H388 | zenon_intro zenon_H39b ].
% 55.20/55.36 apply (zenon_L1030_); trivial.
% 55.20/55.36 apply (zenon_or_s _ _ zenon_H39b); [ zenon_intro zenon_H38e | zenon_intro zenon_He9 ].
% 55.20/55.36 apply (zenon_L590_); trivial.
% 55.20/55.36 apply (zenon_L1031_); trivial.
% 55.20/55.36 apply (zenon_or_s _ _ zenon_Ha7); [ zenon_intro zenon_H92 | zenon_intro zenon_Ha9 ].
% 55.20/55.36 apply (zenon_L25_); trivial.
% 55.20/55.36 apply (zenon_or_s _ _ zenon_Ha9); [ zenon_intro zenon_H97 | zenon_intro zenon_H9e ].
% 55.20/55.36 apply (zenon_L26_); trivial.
% 55.20/55.36 apply (zenon_L27_); trivial.
% 55.20/55.36 exact (zenon_Had zenon_H8b).
% 55.20/55.36 apply (zenon_L79_); trivial.
% 55.20/55.36 (* end of lemma zenon_L1032_ *)
% 55.20/55.36 assert (zenon_L1033_ : (((op1 (e11) (e10)) = (e11))/\(((op1 (e10) (e11)) = (e11))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11))))/\(((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12))))/\((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13))))))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> ((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> ((e10) = (op1 (e11) (e11))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (~((op2 (e20) (e20)) = (e20))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> ((e20) = (op2 (e21) (e21))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e20) (e21)) = (e23))\/(((op2 (e20) (e22)) = (e23))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e22)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> ((e23) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> (((op2 (e22) (e20)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e22) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e10)) = (e12))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e13) (e10)) = (e12))))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e11) (op1 (e11) (e13))) = (e13)) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> ((op1 (e11) (op1 (e11) (e10))) = (e10)) -> (~((op1 (e12) (e12)) = (e11))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> ((e22) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> ((h2 (e12)) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> ((h2 (e13)) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((h2 (e11)) = (e21)) -> (~((h2 (op1 (e13) (e12))) = (op2 (h2 (e13)) (h2 (e12))))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> ((e12) = (op1 (op1 (op1 (e11) (e11)) (op1 (e11) (e11))) (op1 (e11) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((e10) = (e12))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e23) (e22)) = (e20))\/(((op2 (e23) (e22)) = (e21))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e22)) = (e23))))) -> ((op2 (e22) (e21)) = (e22)) -> (~((e22) = (e23))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> ((op2 (e21) (op2 (e21) (e22))) = (e22)) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> ((op2 (e20) (e21)) = (e21)) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e23)) = (e20))) -> ((op2 (e21) (op2 (e21) (e23))) = (e23)) -> (~((op2 (e21) (e23)) = (op2 (e22) (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))))) -> False).
% 55.20/55.36 do 0 intro. intros zenon_H259 zenon_H17 zenon_H15 zenon_H1e zenon_H25 zenon_H1a0 zenon_H19d zenon_H13 zenon_H246 zenon_H31 zenon_H8d zenon_H33 zenon_Ha5 zenon_H98 zenon_H93 zenon_H45 zenon_H3b zenon_H3f1 zenon_H116 zenon_H3cb zenon_H14b zenon_H4c3 zenon_H1fa zenon_H1f4 zenon_H29e zenon_H1de zenon_H292 zenon_H23f zenon_H1cc zenon_H1da zenon_H358 zenon_H325 zenon_H1d8 zenon_H179 zenon_H3f zenon_H44f zenon_H461 zenon_H270 zenon_H534 zenon_H18e zenon_H2c9 zenon_H21a zenon_H155 zenon_H154 zenon_H186 zenon_H180 zenon_H172 zenon_H16c zenon_H4df zenon_H67 zenon_Hfc zenon_H3f4 zenon_Hd3 zenon_Hec zenon_H11f zenon_H489 zenon_H9f zenon_H481 zenon_H3a8 zenon_Hb9 zenon_H3c2 zenon_Had zenon_H395 zenon_H394 zenon_H399 zenon_Hac.
% 55.20/55.36 apply (zenon_and_s _ _ zenon_H259). zenon_intro zenon_H163. zenon_intro zenon_H25a.
% 55.20/55.36 apply (zenon_and_s _ _ zenon_H25a). zenon_intro zenon_H1fe. zenon_intro zenon_H149.
% 55.20/55.36 apply (zenon_and_s _ _ zenon_H149). zenon_intro zenon_H144. zenon_intro zenon_H14a.
% 55.20/55.36 apply (zenon_and_s _ _ zenon_H14a). zenon_intro zenon_H25c. zenon_intro zenon_H25b.
% 55.20/55.36 apply (zenon_and_s _ _ zenon_H25b). zenon_intro zenon_H25e. zenon_intro zenon_H25d.
% 55.20/55.36 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_H146 | zenon_intro zenon_H146 ].
% 55.20/55.36 apply (zenon_L1032_); trivial.
% 55.20/55.36 apply (zenon_L1032_); trivial.
% 55.20/55.36 (* end of lemma zenon_L1033_ *)
% 55.20/55.36 assert (zenon_L1034_ : (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> ((op2 (e23) (e22)) = (e21)) -> ((h2 (e13)) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((e23) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((h2 (e12)) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> ((e22) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> ((h2 (e11)) = (e21)) -> (~((h2 (op1 (e13) (e12))) = (op2 (h2 (e13)) (h2 (e12))))) -> (~((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 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e10) (e10)) = (e13)) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e12)) = (e11))) -> ((op1 (e12) (e10)) = (e10)) -> ((op1 (e11) (op1 (e11) (e10))) = (e10)) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e11) (e11)) = (e11))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> ((e10) = (op1 (e11) (e11))) -> ((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> ((e12) = (op1 (op1 (op1 (e11) (e11)) (op1 (e11) (e11))) (op1 (e11) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e12))\/((op1 (e11) (e10)) = (e13))))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> ((op1 (e11) (op1 (e11) (e13))) = (e13)) -> ((op1 (e13) (e11)) = (e13)) -> False).
% 55.20/55.36 do 0 intro. intros zenon_H474 zenon_H1f4 zenon_H179 zenon_H3d1 zenon_H461 zenon_H3b zenon_H44f zenon_H3f zenon_H270 zenon_H534 zenon_H18e zenon_H18f zenon_H325 zenon_H186 zenon_H1d8 zenon_H1a3 zenon_H1cc zenon_H23f zenon_H293 zenon_H292 zenon_H1de zenon_H1da zenon_H172 zenon_H180 zenon_H2c9 zenon_H1e zenon_H358 zenon_H1fa zenon_H473 zenon_H15a zenon_H13 zenon_H15 zenon_H154 zenon_H155 zenon_H1a9 zenon_H14b zenon_H15f zenon_H18a zenon_H29e zenon_H1c3.
% 55.20/55.36 apply (zenon_or_s _ _ zenon_H474); [ zenon_intro zenon_H163 | zenon_intro zenon_H475 ].
% 55.20/55.36 apply (zenon_or_s _ _ zenon_H1fa); [ zenon_intro zenon_H156 | zenon_intro zenon_H1fb ].
% 55.20/55.36 apply (zenon_L63_); trivial.
% 55.20/55.36 apply (zenon_or_s _ _ zenon_H1fb); [ zenon_intro zenon_H1b8 | zenon_intro zenon_H1fc ].
% 55.20/55.36 apply (zenon_L984_); trivial.
% 55.20/55.36 apply (zenon_or_s _ _ zenon_H1fc); [ zenon_intro zenon_H1c6 | zenon_intro zenon_H1ec ].
% 55.20/55.36 apply (zenon_L986_); trivial.
% 55.20/55.36 apply (zenon_L987_); trivial.
% 55.20/55.36 apply (zenon_or_s _ _ zenon_H475); [ zenon_intro zenon_H1a7 | zenon_intro zenon_H476 ].
% 55.20/55.36 exact (zenon_H473 zenon_H1a7).
% 55.20/55.36 apply (zenon_or_s _ _ zenon_H476); [ zenon_intro zenon_H1a8 | zenon_intro zenon_H214 ].
% 55.20/55.36 apply (zenon_L82_); trivial.
% 55.20/55.36 apply (zenon_L149_); trivial.
% 55.20/55.36 (* end of lemma zenon_L1034_ *)
% 55.20/55.36 assert (zenon_L1035_ : (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> ((op1 (e13) (e11)) = (e13)) -> ((op1 (e11) (op1 (e11) (e13))) = (e13)) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e12))\/((op1 (e11) (e10)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> ((e12) = (op1 (op1 (op1 (e11) (e11)) (op1 (e11) (e11))) (op1 (e11) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (~((op1 (e11) (e11)) = (e11))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> ((op1 (e11) (op1 (e11) (e10))) = (e10)) -> ((op1 (e12) (e10)) = (e10)) -> (~((op1 (e12) (e12)) = (e11))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> ((op1 (e10) (e12)) = (e10)) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((h2 (op1 (e13) (e12))) = (op2 (h2 (e13)) (h2 (e12))))) -> ((h2 (e11)) = (e21)) -> ((e22) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> ((h2 (e12)) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> ((e23) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((h2 (e13)) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((op2 (e23) (e22)) = (e21)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> ((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) -> ((e10) = (op1 (e11) (e11))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> False).
% 55.20/55.36 do 0 intro. intros zenon_H1a0 zenon_H1c3 zenon_H29e zenon_H18a zenon_H15f zenon_H14b zenon_H1a9 zenon_H155 zenon_H154 zenon_H15a zenon_H473 zenon_H1fa zenon_H358 zenon_H2c9 zenon_H180 zenon_H172 zenon_H1da zenon_H1de zenon_H292 zenon_H293 zenon_H23f zenon_H1cc zenon_H1d8 zenon_H186 zenon_H325 zenon_H18f zenon_H18e zenon_H534 zenon_H270 zenon_H3f zenon_H44f zenon_H3b zenon_H461 zenon_H3d1 zenon_H179 zenon_H1f4 zenon_H474 zenon_H17 zenon_H1e zenon_H15 zenon_H13 zenon_H25.
% 55.20/55.36 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_H1a3 | zenon_intro zenon_H1a2 ].
% 55.20/55.36 apply (zenon_L1034_); trivial.
% 55.20/55.36 apply (zenon_or_s _ _ zenon_H1a2); [ zenon_intro zenon_H16 | zenon_intro zenon_H1a4 ].
% 55.20/55.36 apply (zenon_L2_); trivial.
% 55.20/55.36 apply (zenon_or_s _ _ zenon_H1a4); [ zenon_intro zenon_H1d | zenon_intro zenon_H24 ].
% 55.20/55.36 apply (zenon_L3_); trivial.
% 55.20/55.36 apply (zenon_L4_); trivial.
% 55.20/55.36 (* end of lemma zenon_L1035_ *)
% 55.20/55.36 assert (zenon_L1036_ : (((op2 (e23) (e22)) = (e20))\/(((op2 (e23) (e22)) = (e21))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e22)) = (e23))))) -> ((op2 (e20) (e22)) = (e20)) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> ((e10) = (op1 (e11) (e11))) -> ((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> ((h2 (e13)) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((h2 (e12)) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> ((h2 (e11)) = (e21)) -> (~((h2 (op1 (e13) (e12))) = (op2 (h2 (e13)) (h2 (e12))))) -> (~((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 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e12)) = (e11))) -> ((op1 (e12) (e10)) = (e10)) -> ((op1 (e11) (op1 (e11) (e10))) = (e10)) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e11) (e11)) = (e11))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> ((e12) = (op1 (op1 (op1 (e11) (e11)) (op1 (e11) (e11))) (op1 (e11) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e12))\/((op1 (e11) (e10)) = (e13))))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> ((op1 (e11) (op1 (e11) (e13))) = (e13)) -> ((op1 (e13) (e11)) = (e13)) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> ((e22) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> ((e23) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((op2 (e20) (e20)) = (e23)) -> ((op2 (e22) (e22)) = (e23)) -> ((e20) = (op2 (e21) (e21))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> False).
% 55.20/55.36 do 0 intro. intros zenon_H3f4 zenon_H57 zenon_H3cb zenon_H25 zenon_H13 zenon_H15 zenon_H1e zenon_H17 zenon_H474 zenon_H1f4 zenon_H179 zenon_H461 zenon_H44f zenon_H270 zenon_H534 zenon_H18e zenon_H18f zenon_H325 zenon_H186 zenon_H1d8 zenon_H1cc zenon_H23f zenon_H293 zenon_H292 zenon_H1de zenon_H1da zenon_H172 zenon_H180 zenon_H2c9 zenon_H358 zenon_H1fa zenon_H473 zenon_H15a zenon_H154 zenon_H155 zenon_H1a9 zenon_H14b zenon_H15f zenon_H18a zenon_H29e zenon_H1c3 zenon_H1a0 zenon_H67 zenon_H3f zenon_H3b zenon_Ha8 zenon_Hf6 zenon_H33 zenon_Hfc.
% 55.20/55.36 apply (zenon_or_s _ _ zenon_H3f4); [ zenon_intro zenon_H81 | zenon_intro zenon_H3f5 ].
% 55.20/55.36 apply (zenon_L357_); trivial.
% 55.20/55.36 apply (zenon_or_s _ _ zenon_H3f5); [ zenon_intro zenon_H3d1 | zenon_intro zenon_H3f6 ].
% 55.20/55.36 apply (zenon_L1035_); trivial.
% 55.20/55.36 apply (zenon_or_s _ _ zenon_H3f6); [ zenon_intro zenon_H66 | zenon_intro zenon_Hfb ].
% 55.20/55.36 apply (zenon_L16_); trivial.
% 55.20/55.36 apply (zenon_L50_); trivial.
% 55.20/55.36 (* end of lemma zenon_L1036_ *)
% 55.20/55.36 assert (zenon_L1037_ : (((op2 (e22) (e20)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e22) (e23)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> (~((e22) = (e23))) -> ((op2 (e22) (e21)) = (e22)) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> ((op2 (e20) (e20)) = (e23)) -> ((e22) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> ((op1 (e13) (e11)) = (e13)) -> ((op1 (e11) (op1 (e11) (e13))) = (e13)) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e12))\/((op1 (e11) (e10)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> ((e12) = (op1 (op1 (op1 (e11) (e11)) (op1 (e11) (e11))) (op1 (e11) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (~((op1 (e11) (e11)) = (e11))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> ((op1 (e11) (op1 (e11) (e10))) = (e10)) -> ((op1 (e12) (e10)) = (e10)) -> (~((op1 (e12) (e12)) = (e11))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> ((op1 (e10) (e12)) = (e10)) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((h2 (op1 (e13) (e12))) = (op2 (h2 (e13)) (h2 (e12))))) -> ((h2 (e11)) = (e21)) -> ((h2 (e12)) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> ((h2 (e13)) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> ((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) -> ((e10) = (op1 (e11) (e11))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> ((op2 (e20) (e22)) = (e20)) -> (((op2 (e23) (e22)) = (e20))\/(((op2 (e23) (e22)) = (e21))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e22)) = (e23))))) -> ((e23) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((op2 (e21) (e21)) = (e23)) -> ((e20) = (op2 (e21) (e21))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> False).
% 55.20/55.37 do 0 intro. intros zenon_H3f1 zenon_H11f zenon_Hec zenon_Hd3 zenon_Hfc zenon_Ha8 zenon_H3f zenon_H67 zenon_H1a0 zenon_H1c3 zenon_H29e zenon_H18a zenon_H15f zenon_H14b zenon_H1a9 zenon_H155 zenon_H154 zenon_H15a zenon_H473 zenon_H1fa zenon_H358 zenon_H2c9 zenon_H180 zenon_H172 zenon_H1da zenon_H1de zenon_H292 zenon_H293 zenon_H23f zenon_H1cc zenon_H1d8 zenon_H186 zenon_H325 zenon_H18f zenon_H18e zenon_H534 zenon_H270 zenon_H44f zenon_H461 zenon_H179 zenon_H1f4 zenon_H474 zenon_H17 zenon_H1e zenon_H15 zenon_H13 zenon_H25 zenon_H3cb zenon_H57 zenon_H3f4 zenon_H3b zenon_H388 zenon_H33 zenon_H116.
% 55.20/55.37 apply (zenon_or_s _ _ zenon_H3f1); [ zenon_intro zenon_H3df | zenon_intro zenon_H3f2 ].
% 55.20/55.37 apply (zenon_L364_); trivial.
% 55.20/55.37 apply (zenon_or_s _ _ zenon_H3f2); [ zenon_intro zenon_H3ba | zenon_intro zenon_H3f3 ].
% 55.20/55.37 apply (zenon_L350_); trivial.
% 55.20/55.37 apply (zenon_or_s _ _ zenon_H3f3); [ zenon_intro zenon_Hf6 | zenon_intro zenon_Heb ].
% 55.20/55.37 apply (zenon_L1036_); trivial.
% 55.20/55.37 apply (zenon_L323_); trivial.
% 55.20/55.37 (* end of lemma zenon_L1037_ *)
% 55.20/55.37 assert (zenon_L1038_ : (((op2 (e22) (e20)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e22) (e23)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> (~((e22) = (e23))) -> ((op2 (e22) (e21)) = (e22)) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> ((e20) = (op2 (e21) (e21))) -> ((op2 (e20) (e20)) = (e23)) -> ((e23) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((e22) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> ((op1 (e13) (e11)) = (e13)) -> ((op1 (e11) (op1 (e11) (e13))) = (e13)) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e12))\/((op1 (e11) (e10)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> ((e12) = (op1 (op1 (op1 (e11) (e11)) (op1 (e11) (e11))) (op1 (e11) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (~((op1 (e11) (e11)) = (e11))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> ((op1 (e11) (op1 (e11) (e10))) = (e10)) -> ((op1 (e12) (e10)) = (e10)) -> (~((op1 (e12) (e12)) = (e11))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> ((op1 (e10) (e12)) = (e10)) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((h2 (op1 (e13) (e12))) = (op2 (h2 (e13)) (h2 (e12))))) -> ((h2 (e11)) = (e21)) -> ((h2 (e12)) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> ((h2 (e13)) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> ((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) -> ((e10) = (op1 (e11) (e11))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> ((op2 (e20) (e22)) = (e20)) -> (((op2 (e23) (e22)) = (e20))\/(((op2 (e23) (e22)) = (e21))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e22)) = (e23))))) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> ((op2 (e21) (op2 (e21) (e23))) = (e23)) -> ((op2 (e21) (e23)) = (e23)) -> False).
% 55.20/55.37 do 0 intro. intros zenon_H3f1 zenon_H11f zenon_Hec zenon_Hd3 zenon_Hfc zenon_H33 zenon_Ha8 zenon_H3b zenon_H3f zenon_H67 zenon_H1a0 zenon_H1c3 zenon_H29e zenon_H18a zenon_H15f zenon_H14b zenon_H1a9 zenon_H155 zenon_H154 zenon_H15a zenon_H473 zenon_H1fa zenon_H358 zenon_H2c9 zenon_H180 zenon_H172 zenon_H1da zenon_H1de zenon_H292 zenon_H293 zenon_H23f zenon_H1cc zenon_H1d8 zenon_H186 zenon_H325 zenon_H18f zenon_H18e zenon_H534 zenon_H270 zenon_H44f zenon_H461 zenon_H179 zenon_H1f4 zenon_H474 zenon_H17 zenon_H1e zenon_H15 zenon_H13 zenon_H25 zenon_H3cb zenon_H57 zenon_H3f4 zenon_H394 zenon_H395 zenon_He9.
% 55.20/55.37 apply (zenon_or_s _ _ zenon_H3f1); [ zenon_intro zenon_H3df | zenon_intro zenon_H3f2 ].
% 55.20/55.37 apply (zenon_L364_); trivial.
% 55.20/55.37 apply (zenon_or_s _ _ zenon_H3f2); [ zenon_intro zenon_H3ba | zenon_intro zenon_H3f3 ].
% 55.20/55.37 apply (zenon_L350_); trivial.
% 55.20/55.37 apply (zenon_or_s _ _ zenon_H3f3); [ zenon_intro zenon_Hf6 | zenon_intro zenon_Heb ].
% 55.20/55.37 apply (zenon_L1036_); trivial.
% 55.20/55.37 apply (zenon_L326_); trivial.
% 55.20/55.37 (* end of lemma zenon_L1038_ *)
% 55.20/55.37 assert (zenon_L1039_ : ((((op1 (e10) (e10)) = (e10))/\(((op1 (e10) (e10)) = (e10))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11))))/\(((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12))))/\((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))))))))\/((((op1 (e10) (e11)) = (e10))/\(((op1 (e11) (e10)) = (e10))/\(((~((op1 (e11) (e10)) = (e11)))\/(~((op1 (e11) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e11) (e12)) = (e11)))\/(~((op1 (e11) (e11)) = (e12))))/\((~((op1 (e11) (e13)) = (e11)))\/(~((op1 (e11) (e11)) = (e13)))))))))\/((((op1 (e10) (e12)) = (e10))/\(((op1 (e12) (e10)) = (e10))/\(((~((op1 (e12) (e10)) = (e12)))\/(~((op1 (e12) (e12)) = (e10))))/\(((~((op1 (e12) (e11)) = (e12)))\/(~((op1 (e12) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13)))))))))\/((((op1 (e10) (e13)) = (e10))/\(((op1 (e13) (e10)) = (e10))/\(((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e13) (e13)) = (e10))))/\(((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11))))/\(((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e13) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13)))))))))\/((((op1 (e11) (e10)) = (e11))/\(((op1 (e10) (e11)) = (e11))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11))))/\(((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12))))/\((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))))))))\/((((op1 (e11) (e11)) = (e11))/\(((op1 (e11) (e11)) = (e11))/\(((~((op1 (e11) (e10)) = (e11)))\/(~((op1 (e11) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e11) (e12)) = (e11)))\/(~((op1 (e11) (e11)) = (e12))))/\((~((op1 (e11) (e13)) = (e11)))\/(~((op1 (e11) (e11)) = (e13)))))))))\/((((op1 (e11) (e12)) = (e11))/\(((op1 (e12) (e11)) = (e11))/\(((~((op1 (e12) (e10)) = (e12)))\/(~((op1 (e12) (e12)) = (e10))))/\(((~((op1 (e12) (e11)) = (e12)))\/(~((op1 (e12) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13)))))))))\/((((op1 (e11) (e13)) = (e11))/\(((op1 (e13) (e11)) = (e11))/\(((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e13) (e13)) = (e10))))/\(((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11))))/\(((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e13) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13)))))))))\/((((op1 (e12) (e10)) = (e12))/\(((op1 (e10) (e12)) = (e12))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11))))/\(((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12))))/\((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))))))))\/((((op1 (e12) (e11)) = (e12))/\(((op1 (e11) (e12)) = (e12))/\(((~((op1 (e11) (e10)) = (e11)))\/(~((op1 (e11) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e11) (e12)) = (e11)))\/(~((op1 (e11) (e11)) = (e12))))/\((~((op1 (e11) (e13)) = (e11)))\/(~((op1 (e11) (e11)) = (e13)))))))))\/((((op1 (e12) (e12)) = (e12))/\(((op1 (e12) (e12)) = (e12))/\(((~((op1 (e12) (e10)) = (e12)))\/(~((op1 (e12) (e12)) = (e10))))/\(((~((op1 (e12) (e11)) = (e12)))\/(~((op1 (e12) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13)))))))))\/((((op1 (e12) (e13)) = (e12))/\(((op1 (e13) (e12)) = (e12))/\(((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e13) (e13)) = (e10))))/\(((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11))))/\(((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e13) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13)))))))))\/((((op1 (e13) (e10)) = (e13))/\(((op1 (e10) (e13)) = (e13))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11))))/\(((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12))))/\((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))))))))\/((((op1 (e13) (e11)) = (e13))/\(((op1 (e11) (e13)) = (e13))/\(((~((op1 (e11) (e10)) = (e11)))\/(~((op1 (e11) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e11) (e12)) = (e11)))\/(~((op1 (e11) (e11)) = (e12))))/\((~((op1 (e11) (e13)) = (e11)))\/(~((op1 (e11) (e11)) = (e13)))))))))\/((((op1 (e13) (e12)) = (e13))/\(((op1 (e12) (e13)) = (e13))/\(((~((op1 (e12) (e10)) = (e12)))\/(~((op1 (e12) (e12)) = (e10))))/\(((~((op1 (e12) (e11)) = (e12)))\/(~((op1 (e12) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13)))))))))\/(((op1 (e13) (e13)) = (e13))/\(((op1 (e13) (e13)) = (e13))/\(((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e13) (e13)) = (e10))))/\(((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11))))/\(((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e13) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13)))))))))))))))))))))))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (~((op1 (e11) (e11)) = (e11))) -> (((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))))) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> ((op2 (e21) (op2 (e21) (e23))) = (e23)) -> (~((op2 (e20) (e23)) = (e20))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> ((op2 (e20) (e21)) = (e21)) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> ((op2 (e21) (op2 (e21) (e22))) = (e22)) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> (~((e22) = (e23))) -> ((op2 (e22) (e21)) = (e22)) -> (((op2 (e23) (e22)) = (e20))\/(((op2 (e23) (e22)) = (e21))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e22)) = (e23))))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (~((e10) = (e12))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((h2 (op1 (e13) (e12))) = (op2 (h2 (e13)) (h2 (e12))))) -> ((h2 (e11)) = (e21)) -> ((h2 (e13)) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((h2 (e12)) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> ((e22) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e12)) = (e11))) -> ((op1 (e11) (op1 (e11) (e10))) = (e10)) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e10)) = (e12))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e13) (e10)) = (e12))))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e22) (e20)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e22) (e23)) = (e23))))) -> ((e23) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e22)))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e20) (e21)) = (e23))\/(((op2 (e20) (e22)) = (e23))\/((op2 (e20) (e23)) = (e23))))) -> ((e20) = (op2 (e21) (e21))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> (~((op2 (e20) (e20)) = (e20))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> ((op1 (e13) (e11)) = (e13)) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e12))\/((op1 (e11) (e10)) = (e13))))) -> ((e12) = (op1 (op1 (op1 (e11) (e11)) (op1 (e11) (e11))) (op1 (e11) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> ((op1 (e11) (op1 (e11) (e13))) = (e13)) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> ((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) -> ((e10) = (op1 (e11) (e11))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> False).
% 55.20/55.37 do 0 intro. intros zenon_H245 zenon_H474 zenon_H473 zenon_Hac zenon_H399 zenon_H394 zenon_H395 zenon_Had zenon_H3c2 zenon_Hb9 zenon_H3a8 zenon_H481 zenon_H9f zenon_H489 zenon_H11f zenon_Hec zenon_Hd3 zenon_H3f4 zenon_Hfc zenon_H67 zenon_H4df zenon_H16c zenon_H172 zenon_H180 zenon_H186 zenon_H2c9 zenon_H18e zenon_H534 zenon_H270 zenon_H461 zenon_H44f zenon_H3f zenon_H1d8 zenon_H325 zenon_H358 zenon_H1da zenon_H1cc zenon_H23f zenon_H292 zenon_H1de zenon_H1fa zenon_H4c3 zenon_H3cb zenon_H116 zenon_H3f1 zenon_H3b zenon_H45 zenon_H93 zenon_H98 zenon_Ha5 zenon_H33 zenon_H8d zenon_H31 zenon_H246 zenon_H19d zenon_H1a0 zenon_H1e zenon_H17 zenon_H1a9 zenon_H1c3 zenon_H18a zenon_H21a zenon_H179 zenon_H25 zenon_H15f zenon_H155 zenon_H154 zenon_H14b zenon_H29e zenon_H2c0 zenon_H1f4 zenon_H15 zenon_H13 zenon_H2b9 zenon_H15a zenon_H2c2.
% 55.20/55.37 apply (zenon_or_s _ _ zenon_H245); [ zenon_intro zenon_H147 | zenon_intro zenon_H254 ].
% 55.20/55.37 apply (zenon_L60_); trivial.
% 55.20/55.37 apply (zenon_or_s _ _ zenon_H254); [ zenon_intro zenon_H164 | zenon_intro zenon_H255 ].
% 55.20/55.37 apply (zenon_L66_); trivial.
% 55.20/55.37 apply (zenon_or_s _ _ zenon_H255); [ zenon_intro zenon_H197 | zenon_intro zenon_H256 ].
% 55.20/55.37 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_H18f. zenon_intro zenon_H198.
% 55.20/55.37 apply (zenon_and_s _ _ zenon_H198). zenon_intro zenon_H293. zenon_intro zenon_H227.
% 55.20/55.37 apply (zenon_or_s _ _ zenon_Hac); [ zenon_intro zenon_H2d | zenon_intro zenon_Hae ].
% 55.20/55.37 exact (zenon_H31 zenon_H2d).
% 55.20/55.37 apply (zenon_or_s _ _ zenon_Hae); [ zenon_intro zenon_H51 | zenon_intro zenon_Haf ].
% 55.20/55.37 apply (zenon_L24_); trivial.
% 55.20/55.37 apply (zenon_or_s _ _ zenon_Haf); [ zenon_intro zenon_H57 | zenon_intro zenon_H8b ].
% 55.20/55.37 apply (zenon_or_s _ _ zenon_Ha5); [ zenon_intro zenon_Ha8 | zenon_intro zenon_Ha7 ].
% 55.20/55.37 apply (zenon_or_s _ _ zenon_H399); [ zenon_intro zenon_H44 | zenon_intro zenon_H39a ].
% 55.20/55.37 apply (zenon_L10_); trivial.
% 55.20/55.37 apply (zenon_or_s _ _ zenon_H39a); [ zenon_intro zenon_H388 | zenon_intro zenon_H39b ].
% 55.20/55.37 apply (zenon_L1037_); trivial.
% 55.20/55.37 apply (zenon_or_s _ _ zenon_H39b); [ zenon_intro zenon_H38e | zenon_intro zenon_He9 ].
% 55.20/55.37 apply (zenon_L590_); trivial.
% 55.20/55.37 apply (zenon_L1038_); trivial.
% 55.20/55.37 apply (zenon_or_s _ _ zenon_Ha7); [ zenon_intro zenon_H92 | zenon_intro zenon_Ha9 ].
% 55.20/55.37 apply (zenon_L25_); trivial.
% 55.20/55.37 apply (zenon_or_s _ _ zenon_Ha9); [ zenon_intro zenon_H97 | zenon_intro zenon_H9e ].
% 55.20/55.37 apply (zenon_L26_); trivial.
% 55.20/55.37 apply (zenon_L27_); trivial.
% 55.20/55.37 exact (zenon_Had zenon_H8b).
% 55.20/55.37 apply (zenon_or_s _ _ zenon_H256); [ zenon_intro zenon_H199 | zenon_intro zenon_H257 ].
% 55.20/55.37 apply (zenon_L77_); trivial.
% 55.20/55.37 apply (zenon_or_s _ _ zenon_H257); [ zenon_intro zenon_H259 | zenon_intro zenon_H258 ].
% 55.20/55.37 apply (zenon_L1033_); trivial.
% 55.20/55.37 apply (zenon_or_s _ _ zenon_H258); [ zenon_intro zenon_H1a5 | zenon_intro zenon_H262 ].
% 55.20/55.37 apply (zenon_L80_); trivial.
% 55.20/55.37 apply (zenon_or_s _ _ zenon_H262); [ zenon_intro zenon_H1ae | zenon_intro zenon_H263 ].
% 55.20/55.37 apply (zenon_L83_); trivial.
% 55.20/55.37 apply (zenon_or_s _ _ zenon_H263); [ zenon_intro zenon_H212 | zenon_intro zenon_H264 ].
% 55.20/55.37 apply (zenon_L167_); trivial.
% 55.20/55.37 apply (zenon_or_s _ _ zenon_H264); [ zenon_intro zenon_H220 | zenon_intro zenon_H265 ].
% 55.20/55.37 apply (zenon_L110_); trivial.
% 55.20/55.37 apply (zenon_or_s _ _ zenon_H265); [ zenon_intro zenon_H222 | zenon_intro zenon_H266 ].
% 55.20/55.37 apply (zenon_L111_); trivial.
% 55.20/55.37 apply (zenon_or_s _ _ zenon_H266); [ zenon_intro zenon_H225 | zenon_intro zenon_H267 ].
% 55.20/55.37 apply (zenon_L113_); trivial.
% 55.20/55.37 apply (zenon_or_s _ _ zenon_H267); [ zenon_intro zenon_H22d | zenon_intro zenon_H268 ].
% 55.20/55.37 apply (zenon_L114_); trivial.
% 55.20/55.37 apply (zenon_or_s _ _ zenon_H268); [ zenon_intro zenon_H230 | zenon_intro zenon_H269 ].
% 55.20/55.37 apply (zenon_L115_); trivial.
% 55.20/55.37 apply (zenon_or_s _ _ zenon_H269); [ zenon_intro zenon_H232 | zenon_intro zenon_H26a ].
% 55.20/55.37 apply (zenon_L116_); trivial.
% 55.20/55.37 apply (zenon_or_s _ _ zenon_H26a); [ zenon_intro zenon_H240 | zenon_intro zenon_H242 ].
% 55.20/55.37 apply (zenon_L166_); trivial.
% 55.20/55.37 apply (zenon_L125_); trivial.
% 55.20/55.37 (* end of lemma zenon_L1039_ *)
% 55.20/55.37 assert (zenon_L1040_ : (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e13) (e10)) = (e13))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> ((op1 (e11) (op1 (e11) (e13))) = (e13)) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> ((e12) = (op1 (op1 (op1 (e11) (e11)) (op1 (e11) (e11))) (op1 (e11) (e11)))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e12))\/((op1 (e11) (e10)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (~((op2 (e20) (e20)) = (e20))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> ((e20) = (op2 (e21) (e21))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e20) (e21)) = (e23))\/(((op2 (e20) (e22)) = (e23))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e22)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> ((e23) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> (((op2 (e22) (e20)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e22) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e10)) = (e12))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e13) (e10)) = (e12))))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> ((op1 (e11) (op1 (e11) (e10))) = (e10)) -> (~((op1 (e12) (e12)) = (e11))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> ((e22) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> ((h2 (e12)) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> ((h2 (e13)) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((h2 (e11)) = (e21)) -> (~((h2 (op1 (e13) (e12))) = (op2 (h2 (e13)) (h2 (e12))))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((e10) = (e12))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e23) (e22)) = (e20))\/(((op2 (e23) (e22)) = (e21))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e22)) = (e23))))) -> ((op2 (e22) (e21)) = (e22)) -> (~((e22) = (e23))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> ((op2 (e21) (op2 (e21) (e22))) = (e22)) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> ((op2 (e20) (e21)) = (e21)) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e23)) = (e20))) -> ((op2 (e21) (op2 (e21) (e23))) = (e23)) -> (~((op2 (e21) (e23)) = (op2 (e22) (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))))) -> (~((op1 (e11) (e11)) = (e11))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> ((((op1 (e10) (e10)) = (e10))/\(((op1 (e10) (e10)) = (e10))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11))))/\(((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12))))/\((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))))))))\/((((op1 (e10) (e11)) = (e10))/\(((op1 (e11) (e10)) = (e10))/\(((~((op1 (e11) (e10)) = (e11)))\/(~((op1 (e11) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e11) (e12)) = (e11)))\/(~((op1 (e11) (e11)) = (e12))))/\((~((op1 (e11) (e13)) = (e11)))\/(~((op1 (e11) (e11)) = (e13)))))))))\/((((op1 (e10) (e12)) = (e10))/\(((op1 (e12) (e10)) = (e10))/\(((~((op1 (e12) (e10)) = (e12)))\/(~((op1 (e12) (e12)) = (e10))))/\(((~((op1 (e12) (e11)) = (e12)))\/(~((op1 (e12) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13)))))))))\/((((op1 (e10) (e13)) = (e10))/\(((op1 (e13) (e10)) = (e10))/\(((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e13) (e13)) = (e10))))/\(((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11))))/\(((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e13) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13)))))))))\/((((op1 (e11) (e10)) = (e11))/\(((op1 (e10) (e11)) = (e11))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11))))/\(((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12))))/\((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))))))))\/((((op1 (e11) (e11)) = (e11))/\(((op1 (e11) (e11)) = (e11))/\(((~((op1 (e11) (e10)) = (e11)))\/(~((op1 (e11) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e11) (e12)) = (e11)))\/(~((op1 (e11) (e11)) = (e12))))/\((~((op1 (e11) (e13)) = (e11)))\/(~((op1 (e11) (e11)) = (e13)))))))))\/((((op1 (e11) (e12)) = (e11))/\(((op1 (e12) (e11)) = (e11))/\(((~((op1 (e12) (e10)) = (e12)))\/(~((op1 (e12) (e12)) = (e10))))/\(((~((op1 (e12) (e11)) = (e12)))\/(~((op1 (e12) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13)))))))))\/((((op1 (e11) (e13)) = (e11))/\(((op1 (e13) (e11)) = (e11))/\(((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e13) (e13)) = (e10))))/\(((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11))))/\(((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e13) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13)))))))))\/((((op1 (e12) (e10)) = (e12))/\(((op1 (e10) (e12)) = (e12))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11))))/\(((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12))))/\((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))))))))\/((((op1 (e12) (e11)) = (e12))/\(((op1 (e11) (e12)) = (e12))/\(((~((op1 (e11) (e10)) = (e11)))\/(~((op1 (e11) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e11) (e12)) = (e11)))\/(~((op1 (e11) (e11)) = (e12))))/\((~((op1 (e11) (e13)) = (e11)))\/(~((op1 (e11) (e11)) = (e13)))))))))\/((((op1 (e12) (e12)) = (e12))/\(((op1 (e12) (e12)) = (e12))/\(((~((op1 (e12) (e10)) = (e12)))\/(~((op1 (e12) (e12)) = (e10))))/\(((~((op1 (e12) (e11)) = (e12)))\/(~((op1 (e12) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13)))))))))\/((((op1 (e12) (e13)) = (e12))/\(((op1 (e13) (e12)) = (e12))/\(((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e13) (e13)) = (e10))))/\(((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11))))/\(((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e13) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13)))))))))\/((((op1 (e13) (e10)) = (e13))/\(((op1 (e10) (e13)) = (e13))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11))))/\(((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12))))/\((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))))))))\/((((op1 (e13) (e11)) = (e13))/\(((op1 (e11) (e13)) = (e13))/\(((~((op1 (e11) (e10)) = (e11)))\/(~((op1 (e11) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e11) (e12)) = (e11)))\/(~((op1 (e11) (e11)) = (e12))))/\((~((op1 (e11) (e13)) = (e11)))\/(~((op1 (e11) (e11)) = (e13)))))))))\/((((op1 (e13) (e12)) = (e13))/\(((op1 (e12) (e13)) = (e13))/\(((~((op1 (e12) (e10)) = (e12)))\/(~((op1 (e12) (e12)) = (e10))))/\(((~((op1 (e12) (e11)) = (e12)))\/(~((op1 (e12) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13)))))))))\/(((op1 (e13) (e13)) = (e13))/\(((op1 (e13) (e13)) = (e13))/\(((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e13) (e13)) = (e10))))/\(((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11))))/\(((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e13) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13)))))))))))))))))))))))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> ((e10) = (op1 (e11) (e11))) -> ((op1 (e11) (e11)) = (e12)) -> ((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) -> (~((op1 (e13) (e13)) = (e13))) -> False).
% 55.20/55.37 do 0 intro. intros zenon_H1be zenon_H1b6 zenon_H2c2 zenon_H15a zenon_H2b9 zenon_H1f4 zenon_H2c0 zenon_H29e zenon_H14b zenon_H154 zenon_H155 zenon_H15f zenon_H25 zenon_H179 zenon_H21a zenon_H18a zenon_H1a9 zenon_H17 zenon_H1e zenon_H1a0 zenon_H19d zenon_H246 zenon_H31 zenon_H8d zenon_H33 zenon_Ha5 zenon_H98 zenon_H93 zenon_H45 zenon_H3b zenon_H3f1 zenon_H116 zenon_H3cb zenon_H4c3 zenon_H1fa zenon_H1de zenon_H292 zenon_H23f zenon_H1cc zenon_H1da zenon_H358 zenon_H325 zenon_H1d8 zenon_H3f zenon_H44f zenon_H461 zenon_H270 zenon_H534 zenon_H2c9 zenon_H186 zenon_H180 zenon_H172 zenon_H16c zenon_H4df zenon_H67 zenon_Hfc zenon_H3f4 zenon_Hd3 zenon_Hec zenon_H11f zenon_H489 zenon_H9f zenon_H481 zenon_H3a8 zenon_Hb9 zenon_H3c2 zenon_Had zenon_H395 zenon_H394 zenon_H399 zenon_Hac zenon_H473 zenon_H474 zenon_H245 zenon_H18e zenon_H13 zenon_H1b8 zenon_H15 zenon_H1c0.
% 55.20/55.37 apply (zenon_or_s _ _ zenon_H1be); [ zenon_intro zenon_H1b0 | zenon_intro zenon_H1c1 ].
% 55.20/55.37 exact (zenon_H1b6 zenon_H1b0).
% 55.20/55.37 apply (zenon_or_s _ _ zenon_H1c1); [ zenon_intro zenon_H1c3 | zenon_intro zenon_H1c2 ].
% 55.20/55.37 apply (zenon_L1039_); trivial.
% 55.20/55.37 apply (zenon_or_s _ _ zenon_H1c2); [ zenon_intro zenon_H1ba | zenon_intro zenon_H1c4 ].
% 55.20/55.37 apply (zenon_L86_); trivial.
% 55.20/55.37 exact (zenon_H1c0 zenon_H1c4).
% 55.20/55.37 (* end of lemma zenon_L1040_ *)
% 55.20/55.37 assert (zenon_L1041_ : (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e13) (e10)) = (e13))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> ((e10) = (op1 (e11) (e11))) -> ((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> ((e12) = (op1 (op1 (op1 (e11) (e11)) (op1 (e11) (e11))) (op1 (e11) (e11)))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e12))\/((op1 (e11) (e10)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (~((op2 (e20) (e20)) = (e20))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> ((e20) = (op2 (e21) (e21))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e20) (e21)) = (e23))\/(((op2 (e20) (e22)) = (e23))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e22)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> ((e23) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> (((op2 (e22) (e20)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e22) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e10)) = (e12))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e13) (e10)) = (e12))))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> ((op1 (e11) (op1 (e11) (e10))) = (e10)) -> (~((op1 (e12) (e12)) = (e11))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> ((e22) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> ((h2 (e12)) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> ((h2 (e13)) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((h2 (e11)) = (e21)) -> (~((h2 (op1 (e13) (e12))) = (op2 (h2 (e13)) (h2 (e12))))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((e10) = (e12))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e23) (e22)) = (e20))\/(((op2 (e23) (e22)) = (e21))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e22)) = (e23))))) -> ((op2 (e22) (e21)) = (e22)) -> (~((e22) = (e23))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> ((op2 (e21) (op2 (e21) (e22))) = (e22)) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> ((op2 (e20) (e21)) = (e21)) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e23)) = (e20))) -> ((op2 (e21) (op2 (e21) (e23))) = (e23)) -> (~((op2 (e21) (e23)) = (op2 (e22) (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))))) -> (~((op1 (e11) (e11)) = (e11))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> ((((op1 (e10) (e10)) = (e10))/\(((op1 (e10) (e10)) = (e10))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11))))/\(((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12))))/\((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))))))))\/((((op1 (e10) (e11)) = (e10))/\(((op1 (e11) (e10)) = (e10))/\(((~((op1 (e11) (e10)) = (e11)))\/(~((op1 (e11) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e11) (e12)) = (e11)))\/(~((op1 (e11) (e11)) = (e12))))/\((~((op1 (e11) (e13)) = (e11)))\/(~((op1 (e11) (e11)) = (e13)))))))))\/((((op1 (e10) (e12)) = (e10))/\(((op1 (e12) (e10)) = (e10))/\(((~((op1 (e12) (e10)) = (e12)))\/(~((op1 (e12) (e12)) = (e10))))/\(((~((op1 (e12) (e11)) = (e12)))\/(~((op1 (e12) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13)))))))))\/((((op1 (e10) (e13)) = (e10))/\(((op1 (e13) (e10)) = (e10))/\(((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e13) (e13)) = (e10))))/\(((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11))))/\(((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e13) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13)))))))))\/((((op1 (e11) (e10)) = (e11))/\(((op1 (e10) (e11)) = (e11))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11))))/\(((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12))))/\((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))))))))\/((((op1 (e11) (e11)) = (e11))/\(((op1 (e11) (e11)) = (e11))/\(((~((op1 (e11) (e10)) = (e11)))\/(~((op1 (e11) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e11) (e12)) = (e11)))\/(~((op1 (e11) (e11)) = (e12))))/\((~((op1 (e11) (e13)) = (e11)))\/(~((op1 (e11) (e11)) = (e13)))))))))\/((((op1 (e11) (e12)) = (e11))/\(((op1 (e12) (e11)) = (e11))/\(((~((op1 (e12) (e10)) = (e12)))\/(~((op1 (e12) (e12)) = (e10))))/\(((~((op1 (e12) (e11)) = (e12)))\/(~((op1 (e12) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13)))))))))\/((((op1 (e11) (e13)) = (e11))/\(((op1 (e13) (e11)) = (e11))/\(((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e13) (e13)) = (e10))))/\(((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11))))/\(((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e13) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13)))))))))\/((((op1 (e12) (e10)) = (e12))/\(((op1 (e10) (e12)) = (e12))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11))))/\(((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12))))/\((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))))))))\/((((op1 (e12) (e11)) = (e12))/\(((op1 (e11) (e12)) = (e12))/\(((~((op1 (e11) (e10)) = (e11)))\/(~((op1 (e11) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e11) (e12)) = (e11)))\/(~((op1 (e11) (e11)) = (e12))))/\((~((op1 (e11) (e13)) = (e11)))\/(~((op1 (e11) (e11)) = (e13)))))))))\/((((op1 (e12) (e12)) = (e12))/\(((op1 (e12) (e12)) = (e12))/\(((~((op1 (e12) (e10)) = (e12)))\/(~((op1 (e12) (e12)) = (e10))))/\(((~((op1 (e12) (e11)) = (e12)))\/(~((op1 (e12) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13)))))))))\/((((op1 (e12) (e13)) = (e12))/\(((op1 (e13) (e12)) = (e12))/\(((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e13) (e13)) = (e10))))/\(((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11))))/\(((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e13) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13)))))))))\/((((op1 (e13) (e10)) = (e13))/\(((op1 (e10) (e13)) = (e13))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11))))/\(((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12))))/\((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))))))))\/((((op1 (e13) (e11)) = (e13))/\(((op1 (e11) (e13)) = (e13))/\(((~((op1 (e11) (e10)) = (e11)))\/(~((op1 (e11) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e11) (e12)) = (e11)))\/(~((op1 (e11) (e11)) = (e12))))/\((~((op1 (e11) (e13)) = (e11)))\/(~((op1 (e11) (e11)) = (e13)))))))))\/((((op1 (e13) (e12)) = (e13))/\(((op1 (e12) (e13)) = (e13))/\(((~((op1 (e12) (e10)) = (e12)))\/(~((op1 (e12) (e12)) = (e10))))/\(((~((op1 (e12) (e11)) = (e12)))\/(~((op1 (e12) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13)))))))))\/(((op1 (e13) (e13)) = (e13))/\(((op1 (e13) (e13)) = (e13))/\(((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e13) (e13)) = (e10))))/\(((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11))))/\(((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e13) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13)))))))))))))))))))))))) -> ((op1 (e11) (e13)) = (e12)) -> ((op1 (e11) (op1 (e11) (e13))) = (e13)) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e13)) = (e13))) -> False).
% 55.20/55.37 do 0 intro. intros zenon_H1be zenon_H1b6 zenon_H2c2 zenon_H15a zenon_H2b9 zenon_H13 zenon_H15 zenon_H2c0 zenon_H14b zenon_H154 zenon_H155 zenon_H15f zenon_H25 zenon_H179 zenon_H21a zenon_H18a zenon_H1a9 zenon_H17 zenon_H1e zenon_H1a0 zenon_H19d zenon_H246 zenon_H31 zenon_H8d zenon_H33 zenon_Ha5 zenon_H98 zenon_H93 zenon_H45 zenon_H3b zenon_H3f1 zenon_H116 zenon_H3cb zenon_H4c3 zenon_H1fa zenon_H1de zenon_H292 zenon_H23f zenon_H1cc zenon_H1da zenon_H358 zenon_H325 zenon_H1d8 zenon_H3f zenon_H44f zenon_H461 zenon_H270 zenon_H534 zenon_H18e zenon_H2c9 zenon_H186 zenon_H180 zenon_H172 zenon_H16c zenon_H4df zenon_H67 zenon_Hfc zenon_H3f4 zenon_Hd3 zenon_Hec zenon_H11f zenon_H489 zenon_H9f zenon_H481 zenon_H3a8 zenon_Hb9 zenon_H3c2 zenon_Had zenon_H395 zenon_H394 zenon_H399 zenon_Hac zenon_H473 zenon_H474 zenon_H245 zenon_H1ec zenon_H29e zenon_H1f4 zenon_H1c0.
% 55.20/55.37 apply (zenon_or_s _ _ zenon_H1be); [ zenon_intro zenon_H1b0 | zenon_intro zenon_H1c1 ].
% 55.20/55.37 exact (zenon_H1b6 zenon_H1b0).
% 55.20/55.37 apply (zenon_or_s _ _ zenon_H1c1); [ zenon_intro zenon_H1c3 | zenon_intro zenon_H1c2 ].
% 55.20/55.37 apply (zenon_L1039_); trivial.
% 55.20/55.37 apply (zenon_or_s _ _ zenon_H1c2); [ zenon_intro zenon_H1ba | zenon_intro zenon_H1c4 ].
% 55.20/55.37 apply (zenon_L159_); trivial.
% 55.20/55.37 exact (zenon_H1c0 zenon_H1c4).
% 55.20/55.37 (* end of lemma zenon_L1041_ *)
% 55.20/55.37 assert (zenon_L1042_ : (~((op1 (e13) (e13)) = (e13))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e11) (op1 (e11) (e13))) = (e13)) -> ((((op1 (e10) (e10)) = (e10))/\(((op1 (e10) (e10)) = (e10))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11))))/\(((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12))))/\((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))))))))\/((((op1 (e10) (e11)) = (e10))/\(((op1 (e11) (e10)) = (e10))/\(((~((op1 (e11) (e10)) = (e11)))\/(~((op1 (e11) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e11) (e12)) = (e11)))\/(~((op1 (e11) (e11)) = (e12))))/\((~((op1 (e11) (e13)) = (e11)))\/(~((op1 (e11) (e11)) = (e13)))))))))\/((((op1 (e10) (e12)) = (e10))/\(((op1 (e12) (e10)) = (e10))/\(((~((op1 (e12) (e10)) = (e12)))\/(~((op1 (e12) (e12)) = (e10))))/\(((~((op1 (e12) (e11)) = (e12)))\/(~((op1 (e12) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13)))))))))\/((((op1 (e10) (e13)) = (e10))/\(((op1 (e13) (e10)) = (e10))/\(((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e13) (e13)) = (e10))))/\(((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11))))/\(((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e13) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13)))))))))\/((((op1 (e11) (e10)) = (e11))/\(((op1 (e10) (e11)) = (e11))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11))))/\(((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12))))/\((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))))))))\/((((op1 (e11) (e11)) = (e11))/\(((op1 (e11) (e11)) = (e11))/\(((~((op1 (e11) (e10)) = (e11)))\/(~((op1 (e11) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e11) (e12)) = (e11)))\/(~((op1 (e11) (e11)) = (e12))))/\((~((op1 (e11) (e13)) = (e11)))\/(~((op1 (e11) (e11)) = (e13)))))))))\/((((op1 (e11) (e12)) = (e11))/\(((op1 (e12) (e11)) = (e11))/\(((~((op1 (e12) (e10)) = (e12)))\/(~((op1 (e12) (e12)) = (e10))))/\(((~((op1 (e12) (e11)) = (e12)))\/(~((op1 (e12) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13)))))))))\/((((op1 (e11) (e13)) = (e11))/\(((op1 (e13) (e11)) = (e11))/\(((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e13) (e13)) = (e10))))/\(((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11))))/\(((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e13) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13)))))))))\/((((op1 (e12) (e10)) = (e12))/\(((op1 (e10) (e12)) = (e12))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11))))/\(((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12))))/\((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))))))))\/((((op1 (e12) (e11)) = (e12))/\(((op1 (e11) (e12)) = (e12))/\(((~((op1 (e11) (e10)) = (e11)))\/(~((op1 (e11) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e11) (e12)) = (e11)))\/(~((op1 (e11) (e11)) = (e12))))/\((~((op1 (e11) (e13)) = (e11)))\/(~((op1 (e11) (e11)) = (e13)))))))))\/((((op1 (e12) (e12)) = (e12))/\(((op1 (e12) (e12)) = (e12))/\(((~((op1 (e12) (e10)) = (e12)))\/(~((op1 (e12) (e12)) = (e10))))/\(((~((op1 (e12) (e11)) = (e12)))\/(~((op1 (e12) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13)))))))))\/((((op1 (e12) (e13)) = (e12))/\(((op1 (e13) (e12)) = (e12))/\(((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e13) (e13)) = (e10))))/\(((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11))))/\(((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e13) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13)))))))))\/((((op1 (e13) (e10)) = (e13))/\(((op1 (e10) (e13)) = (e13))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11))))/\(((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12))))/\((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))))))))\/((((op1 (e13) (e11)) = (e13))/\(((op1 (e11) (e13)) = (e13))/\(((~((op1 (e11) (e10)) = (e11)))\/(~((op1 (e11) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e11) (e12)) = (e11)))\/(~((op1 (e11) (e11)) = (e12))))/\((~((op1 (e11) (e13)) = (e11)))\/(~((op1 (e11) (e11)) = (e13)))))))))\/((((op1 (e13) (e12)) = (e13))/\(((op1 (e12) (e13)) = (e13))/\(((~((op1 (e12) (e10)) = (e12)))\/(~((op1 (e12) (e12)) = (e10))))/\(((~((op1 (e12) (e11)) = (e12)))\/(~((op1 (e12) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13)))))))))\/(((op1 (e13) (e13)) = (e13))/\(((op1 (e13) (e13)) = (e13))/\(((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e13) (e13)) = (e10))))/\(((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11))))/\(((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e13) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13)))))))))))))))))))))))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (~((op1 (e11) (e11)) = (e11))) -> (((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))))) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> ((op2 (e21) (op2 (e21) (e23))) = (e23)) -> (~((op2 (e20) (e23)) = (e20))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> ((op2 (e20) (e21)) = (e21)) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> ((op2 (e21) (op2 (e21) (e22))) = (e22)) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> (~((e22) = (e23))) -> ((op2 (e22) (e21)) = (e22)) -> (((op2 (e23) (e22)) = (e20))\/(((op2 (e23) (e22)) = (e21))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e22)) = (e23))))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (~((e10) = (e12))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((h2 (op1 (e13) (e12))) = (op2 (h2 (e13)) (h2 (e12))))) -> ((h2 (e11)) = (e21)) -> ((h2 (e13)) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((h2 (e12)) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> ((e22) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e12)) = (e11))) -> ((op1 (e11) (op1 (e11) (e10))) = (e10)) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e10)) = (e12))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e13) (e10)) = (e12))))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e22) (e20)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e22) (e23)) = (e23))))) -> ((e23) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e22)))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e20) (e21)) = (e23))\/(((op2 (e20) (e22)) = (e23))\/((op2 (e20) (e23)) = (e23))))) -> ((e20) = (op2 (e21) (e21))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> (~((op2 (e20) (e20)) = (e20))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e12))\/((op1 (e11) (e10)) = (e13))))) -> ((e12) = (op1 (op1 (op1 (e11) (e11)) (op1 (e11) (e11))) (op1 (e11) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e13) (e10)) = (e13))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> ((op1 (e11) (op1 (e11) (e11))) = (e11)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> ((op1 (e11) (e13)) = (e11)) -> (~((op1 (e13) (e13)) = (e12))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> ((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) -> ((e10) = (op1 (e11) (e11))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> False).
% 55.20/55.37 do 0 intro. intros zenon_H1c0 zenon_H1f4 zenon_H29e zenon_H245 zenon_H474 zenon_H473 zenon_Hac zenon_H399 zenon_H394 zenon_H395 zenon_Had zenon_H3c2 zenon_Hb9 zenon_H3a8 zenon_H481 zenon_H9f zenon_H489 zenon_H11f zenon_Hec zenon_Hd3 zenon_H3f4 zenon_Hfc zenon_H67 zenon_H4df zenon_H16c zenon_H172 zenon_H180 zenon_H186 zenon_H2c9 zenon_H18e zenon_H534 zenon_H270 zenon_H461 zenon_H44f zenon_H3f zenon_H1d8 zenon_H325 zenon_H358 zenon_H1da zenon_H1cc zenon_H23f zenon_H292 zenon_H1de zenon_H1fa zenon_H4c3 zenon_H3cb zenon_H116 zenon_H3f1 zenon_H3b zenon_H45 zenon_H93 zenon_H98 zenon_Ha5 zenon_H33 zenon_H8d zenon_H31 zenon_H246 zenon_H19d zenon_H1a0 zenon_H1a9 zenon_H18a zenon_H21a zenon_H179 zenon_H15f zenon_H155 zenon_H154 zenon_H14b zenon_H2c0 zenon_H2b9 zenon_H15a zenon_H2c2 zenon_H1b6 zenon_H1be zenon_H2ad zenon_H2a5 zenon_H2a6 zenon_H2a3 zenon_H2b1 zenon_H214 zenon_H185 zenon_H17 zenon_H1e zenon_H15 zenon_H13 zenon_H25.
% 55.20/55.37 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_H1a3 | zenon_intro zenon_H1a2 ].
% 55.20/55.37 apply (zenon_or_s _ _ zenon_H1fa); [ zenon_intro zenon_H156 | zenon_intro zenon_H1fb ].
% 55.20/55.37 apply (zenon_L63_); trivial.
% 55.20/55.37 apply (zenon_or_s _ _ zenon_H1fb); [ zenon_intro zenon_H1b8 | zenon_intro zenon_H1fc ].
% 55.20/55.37 apply (zenon_L1040_); trivial.
% 55.20/55.37 apply (zenon_or_s _ _ zenon_H1fc); [ zenon_intro zenon_H1c6 | zenon_intro zenon_H1ec ].
% 55.20/55.37 apply (zenon_L157_); trivial.
% 55.20/55.37 apply (zenon_L1041_); trivial.
% 55.20/55.37 apply (zenon_or_s _ _ zenon_H1a2); [ zenon_intro zenon_H16 | zenon_intro zenon_H1a4 ].
% 55.20/55.37 apply (zenon_L2_); trivial.
% 55.20/55.37 apply (zenon_or_s _ _ zenon_H1a4); [ zenon_intro zenon_H1d | zenon_intro zenon_H24 ].
% 55.20/55.37 apply (zenon_L3_); trivial.
% 55.20/55.37 apply (zenon_L4_); trivial.
% 55.20/55.37 (* end of lemma zenon_L1042_ *)
% 55.20/55.37 assert (zenon_L1043_ : (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> ((op1 (e11) (op1 (e11) (e12))) = (e12)) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> ((op1 (e11) (e12)) = (e12)) -> (~((op1 (e12) (e13)) = (e12))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((e12) = (e13))) -> ((op1 (e12) (e11)) = (e12)) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> ((e10) = (op1 (e11) (e11))) -> ((op1 (e10) (e10)) = (e13)) -> ((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) -> ((e12) = (op1 (op1 (op1 (e11) (e11)) (op1 (e11) (e11))) (op1 (e11) (e11)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> ((op2 (e23) (e22)) = (e21)) -> ((h2 (e13)) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((e23) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((h2 (e12)) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> ((e22) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> ((h2 (e11)) = (e21)) -> (~((h2 (op1 (e13) (e12))) = (op2 (h2 (e13)) (h2 (e12))))) -> (~((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) (e13)) = (op1 (e12) (e13)))) -> ((op1 (e11) (op1 (e11) (e13))) = (e13)) -> False).
% 55.20/55.37 do 0 intro. intros zenon_H2c2 zenon_H15a zenon_H2b9 zenon_H180 zenon_H172 zenon_H32e zenon_H30e zenon_H375 zenon_H1ed zenon_H1c6 zenon_H27d zenon_H186 zenon_H2e7 zenon_H2ad zenon_H236 zenon_H202 zenon_H1d8 zenon_H13 zenon_H1a3 zenon_H15 zenon_H155 zenon_H179 zenon_H3d1 zenon_H461 zenon_H3b zenon_H44f zenon_H3f zenon_H270 zenon_H534 zenon_H18e zenon_H18f zenon_H325 zenon_H2c0 zenon_H29e.
% 55.20/55.37 apply (zenon_or_s _ _ zenon_H2c2); [ zenon_intro zenon_H159 | zenon_intro zenon_H2c3 ].
% 55.20/55.37 apply (zenon_L64_); trivial.
% 55.20/55.37 apply (zenon_or_s _ _ zenon_H2c3); [ zenon_intro zenon_H2b7 | zenon_intro zenon_H2c4 ].
% 55.20/55.37 apply (zenon_L1001_); trivial.
% 55.20/55.37 apply (zenon_or_s _ _ zenon_H2c4); [ zenon_intro zenon_H1f3 | zenon_intro zenon_H234 ].
% 55.20/55.37 apply (zenon_L498_); trivial.
% 55.20/55.37 apply (zenon_L1002_); trivial.
% 55.20/55.37 (* end of lemma zenon_L1043_ *)
% 55.20/55.37 assert (zenon_L1044_ : (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> ((op1 (e11) (op1 (e11) (e13))) = (e13)) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> ((e12) = (op1 (op1 (op1 (e11) (e11)) (op1 (e11) (e11))) (op1 (e11) (e11)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> ((op2 (e23) (e22)) = (e21)) -> ((h2 (e13)) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((e23) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((h2 (e12)) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> ((e22) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> ((h2 (e11)) = (e21)) -> (~((h2 (op1 (e13) (e12))) = (op2 (h2 (e13)) (h2 (e12))))) -> (~((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) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> ((op1 (e11) (op1 (e11) (e12))) = (e12)) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (~((op1 (e12) (e13)) = (e12))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((e12) = (e13))) -> ((op1 (e12) (e11)) = (e12)) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> ((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) -> ((e10) = (op1 (e11) (e11))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> False).
% 55.20/55.37 do 0 intro. intros zenon_H1a0 zenon_H29e zenon_H1f4 zenon_H155 zenon_H179 zenon_H3d1 zenon_H461 zenon_H3b zenon_H44f zenon_H3f zenon_H270 zenon_H534 zenon_H18e zenon_H18f zenon_H325 zenon_H2c2 zenon_H15a zenon_H2b9 zenon_H180 zenon_H172 zenon_H32e zenon_H30e zenon_H375 zenon_H1ed zenon_H27d zenon_H186 zenon_H2e7 zenon_H2ad zenon_H236 zenon_H202 zenon_H1d8 zenon_H2c0 zenon_H358 zenon_H154 zenon_H1fa zenon_H17 zenon_H1e zenon_H15 zenon_H13 zenon_H25.
% 55.20/55.37 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_H1a3 | zenon_intro zenon_H1a2 ].
% 55.20/55.37 apply (zenon_or_s _ _ zenon_H1fa); [ zenon_intro zenon_H156 | zenon_intro zenon_H1fb ].
% 55.20/55.37 apply (zenon_L63_); trivial.
% 55.20/55.37 apply (zenon_or_s _ _ zenon_H1fb); [ zenon_intro zenon_H1b8 | zenon_intro zenon_H1fc ].
% 55.20/55.37 apply (zenon_L1003_); trivial.
% 55.20/55.37 apply (zenon_or_s _ _ zenon_H1fc); [ zenon_intro zenon_H1c6 | zenon_intro zenon_H1ec ].
% 55.20/55.37 apply (zenon_L1043_); trivial.
% 55.20/55.37 apply (zenon_L987_); trivial.
% 55.20/55.37 apply (zenon_or_s _ _ zenon_H1a2); [ zenon_intro zenon_H16 | zenon_intro zenon_H1a4 ].
% 55.20/55.37 apply (zenon_L2_); trivial.
% 55.20/55.37 apply (zenon_or_s _ _ zenon_H1a4); [ zenon_intro zenon_H1d | zenon_intro zenon_H24 ].
% 55.20/55.37 apply (zenon_L3_); trivial.
% 55.20/55.37 apply (zenon_L4_); trivial.
% 55.20/55.37 (* end of lemma zenon_L1044_ *)
% 55.20/55.37 assert (zenon_L1045_ : (((op2 (e23) (e22)) = (e20))\/(((op2 (e23) (e22)) = (e21))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e22)) = (e23))))) -> ((op2 (e20) (e22)) = (e20)) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> ((e10) = (op1 (e11) (e11))) -> ((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e12) (e11)) = (e12)) -> (~((e12) = (e13))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e12) (e13)) = (e12))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> ((op1 (e11) (op1 (e11) (e12))) = (e12)) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> ((op1 (e10) (e12)) = (e10)) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((h2 (op1 (e13) (e12))) = (op2 (h2 (e13)) (h2 (e12))))) -> ((h2 (e11)) = (e21)) -> ((h2 (e12)) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> ((h2 (e13)) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> ((e12) = (op1 (op1 (op1 (e11) (e11)) (op1 (e11) (e11))) (op1 (e11) (e11)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e11) (op1 (e11) (e13))) = (e13)) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> ((e22) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> ((e23) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((op2 (e20) (e20)) = (e23)) -> ((op2 (e22) (e22)) = (e23)) -> ((e20) = (op2 (e21) (e21))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> False).
% 55.20/55.38 do 0 intro. intros zenon_H3f4 zenon_H57 zenon_H3cb zenon_H25 zenon_H13 zenon_H15 zenon_H1e zenon_H17 zenon_H1fa zenon_H154 zenon_H358 zenon_H2c0 zenon_H1d8 zenon_H202 zenon_H236 zenon_H2ad zenon_H2e7 zenon_H186 zenon_H27d zenon_H1ed zenon_H375 zenon_H30e zenon_H32e zenon_H172 zenon_H180 zenon_H2b9 zenon_H15a zenon_H2c2 zenon_H325 zenon_H18f zenon_H18e zenon_H534 zenon_H270 zenon_H44f zenon_H461 zenon_H179 zenon_H155 zenon_H1f4 zenon_H29e zenon_H1a0 zenon_H67 zenon_H3f zenon_H3b zenon_Ha8 zenon_Hf6 zenon_H33 zenon_Hfc.
% 55.20/55.38 apply (zenon_or_s _ _ zenon_H3f4); [ zenon_intro zenon_H81 | zenon_intro zenon_H3f5 ].
% 55.20/55.38 apply (zenon_L357_); trivial.
% 55.20/55.38 apply (zenon_or_s _ _ zenon_H3f5); [ zenon_intro zenon_H3d1 | zenon_intro zenon_H3f6 ].
% 55.20/55.38 apply (zenon_L1044_); trivial.
% 55.20/55.38 apply (zenon_or_s _ _ zenon_H3f6); [ zenon_intro zenon_H66 | zenon_intro zenon_Hfb ].
% 55.20/55.38 apply (zenon_L16_); trivial.
% 55.20/55.38 apply (zenon_L50_); trivial.
% 55.20/55.38 (* end of lemma zenon_L1045_ *)
% 55.20/55.38 assert (zenon_L1046_ : (((op2 (e22) (e20)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e22) (e23)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> (~((e22) = (e23))) -> ((op2 (e22) (e21)) = (e22)) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> ((op2 (e20) (e20)) = (e23)) -> ((e22) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> ((op1 (e11) (op1 (e11) (e13))) = (e13)) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> ((e12) = (op1 (op1 (op1 (e11) (e11)) (op1 (e11) (e11))) (op1 (e11) (e11)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> ((h2 (e13)) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((h2 (e12)) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> ((h2 (e11)) = (e21)) -> (~((h2 (op1 (e13) (e12))) = (op2 (h2 (e13)) (h2 (e12))))) -> (~((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) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> ((op1 (e11) (op1 (e11) (e12))) = (e12)) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (~((op1 (e12) (e13)) = (e12))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((e12) = (e13))) -> ((op1 (e12) (e11)) = (e12)) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> ((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) -> ((e10) = (op1 (e11) (e11))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> ((op2 (e20) (e22)) = (e20)) -> (((op2 (e23) (e22)) = (e20))\/(((op2 (e23) (e22)) = (e21))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e22)) = (e23))))) -> ((e23) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((op2 (e21) (e21)) = (e23)) -> ((e20) = (op2 (e21) (e21))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> False).
% 55.20/55.38 do 0 intro. intros zenon_H3f1 zenon_H11f zenon_Hec zenon_Hd3 zenon_Hfc zenon_Ha8 zenon_H3f zenon_H67 zenon_H1a0 zenon_H29e zenon_H1f4 zenon_H155 zenon_H179 zenon_H461 zenon_H44f zenon_H270 zenon_H534 zenon_H18e zenon_H18f zenon_H325 zenon_H2c2 zenon_H15a zenon_H2b9 zenon_H180 zenon_H172 zenon_H32e zenon_H30e zenon_H375 zenon_H1ed zenon_H27d zenon_H186 zenon_H2e7 zenon_H2ad zenon_H236 zenon_H202 zenon_H1d8 zenon_H2c0 zenon_H358 zenon_H154 zenon_H1fa zenon_H17 zenon_H1e zenon_H15 zenon_H13 zenon_H25 zenon_H3cb zenon_H57 zenon_H3f4 zenon_H3b zenon_H388 zenon_H33 zenon_H116.
% 55.20/55.38 apply (zenon_or_s _ _ zenon_H3f1); [ zenon_intro zenon_H3df | zenon_intro zenon_H3f2 ].
% 55.20/55.38 apply (zenon_L364_); trivial.
% 55.20/55.38 apply (zenon_or_s _ _ zenon_H3f2); [ zenon_intro zenon_H3ba | zenon_intro zenon_H3f3 ].
% 55.20/55.38 apply (zenon_L350_); trivial.
% 55.20/55.38 apply (zenon_or_s _ _ zenon_H3f3); [ zenon_intro zenon_Hf6 | zenon_intro zenon_Heb ].
% 55.20/55.38 apply (zenon_L1045_); trivial.
% 55.20/55.38 apply (zenon_L323_); trivial.
% 55.20/55.38 (* end of lemma zenon_L1046_ *)
% 55.20/55.38 assert (zenon_L1047_ : (((op2 (e22) (e20)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e22) (e23)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> (~((e22) = (e23))) -> ((op2 (e22) (e21)) = (e22)) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> ((e20) = (op2 (e21) (e21))) -> ((op2 (e20) (e20)) = (e23)) -> ((e23) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((e22) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> ((op1 (e11) (op1 (e11) (e13))) = (e13)) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> ((e12) = (op1 (op1 (op1 (e11) (e11)) (op1 (e11) (e11))) (op1 (e11) (e11)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> ((h2 (e13)) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((h2 (e12)) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> ((h2 (e11)) = (e21)) -> (~((h2 (op1 (e13) (e12))) = (op2 (h2 (e13)) (h2 (e12))))) -> (~((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) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> ((op1 (e11) (op1 (e11) (e12))) = (e12)) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (~((op1 (e12) (e13)) = (e12))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((e12) = (e13))) -> ((op1 (e12) (e11)) = (e12)) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> ((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) -> ((e10) = (op1 (e11) (e11))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> ((op2 (e20) (e22)) = (e20)) -> (((op2 (e23) (e22)) = (e20))\/(((op2 (e23) (e22)) = (e21))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e22)) = (e23))))) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> ((op2 (e21) (op2 (e21) (e23))) = (e23)) -> ((op2 (e21) (e23)) = (e23)) -> False).
% 55.20/55.38 do 0 intro. intros zenon_H3f1 zenon_H11f zenon_Hec zenon_Hd3 zenon_Hfc zenon_H33 zenon_Ha8 zenon_H3b zenon_H3f zenon_H67 zenon_H1a0 zenon_H29e zenon_H1f4 zenon_H155 zenon_H179 zenon_H461 zenon_H44f zenon_H270 zenon_H534 zenon_H18e zenon_H18f zenon_H325 zenon_H2c2 zenon_H15a zenon_H2b9 zenon_H180 zenon_H172 zenon_H32e zenon_H30e zenon_H375 zenon_H1ed zenon_H27d zenon_H186 zenon_H2e7 zenon_H2ad zenon_H236 zenon_H202 zenon_H1d8 zenon_H2c0 zenon_H358 zenon_H154 zenon_H1fa zenon_H17 zenon_H1e zenon_H15 zenon_H13 zenon_H25 zenon_H3cb zenon_H57 zenon_H3f4 zenon_H394 zenon_H395 zenon_He9.
% 55.20/55.38 apply (zenon_or_s _ _ zenon_H3f1); [ zenon_intro zenon_H3df | zenon_intro zenon_H3f2 ].
% 55.20/55.38 apply (zenon_L364_); trivial.
% 55.20/55.38 apply (zenon_or_s _ _ zenon_H3f2); [ zenon_intro zenon_H3ba | zenon_intro zenon_H3f3 ].
% 55.20/55.38 apply (zenon_L350_); trivial.
% 55.20/55.38 apply (zenon_or_s _ _ zenon_H3f3); [ zenon_intro zenon_Hf6 | zenon_intro zenon_Heb ].
% 55.20/55.38 apply (zenon_L1045_); trivial.
% 55.20/55.38 apply (zenon_L326_); trivial.
% 55.20/55.38 (* end of lemma zenon_L1047_ *)
% 55.20/55.38 assert (zenon_L1048_ : (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> ((op1 (e11) (op1 (e11) (e12))) = (e12)) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> ((op1 (e11) (e12)) = (e12)) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e12) (e12)) = (e13))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((e12) = (e13))) -> ((op1 (e12) (e11)) = (e12)) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> ((e10) = (op1 (e11) (e11))) -> ((op1 (e10) (e10)) = (e13)) -> ((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) -> ((e12) = (op1 (op1 (op1 (e11) (e11)) (op1 (e11) (e11))) (op1 (e11) (e11)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> ((op2 (e23) (e22)) = (e21)) -> ((h2 (e13)) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((e23) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((h2 (e12)) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> ((e22) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> ((h2 (e11)) = (e21)) -> (~((h2 (op1 (e13) (e12))) = (op2 (h2 (e13)) (h2 (e12))))) -> (~((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) (e13)) = (op1 (e12) (e13)))) -> ((op1 (e11) (op1 (e11) (e13))) = (e13)) -> False).
% 55.20/55.38 do 0 intro. intros zenon_H2c2 zenon_H15a zenon_H2b9 zenon_H180 zenon_H172 zenon_H32e zenon_H30e zenon_H375 zenon_H1ed zenon_H1c6 zenon_H186 zenon_H29d zenon_H2e7 zenon_H2ad zenon_H236 zenon_H202 zenon_H1d8 zenon_H13 zenon_H1a3 zenon_H15 zenon_H155 zenon_H179 zenon_H3d1 zenon_H461 zenon_H3b zenon_H44f zenon_H3f zenon_H270 zenon_H534 zenon_H18e zenon_H18f zenon_H325 zenon_H2c0 zenon_H29e.
% 55.20/55.38 apply (zenon_or_s _ _ zenon_H2c2); [ zenon_intro zenon_H159 | zenon_intro zenon_H2c3 ].
% 55.20/55.38 apply (zenon_L64_); trivial.
% 55.20/55.38 apply (zenon_or_s _ _ zenon_H2c3); [ zenon_intro zenon_H2b7 | zenon_intro zenon_H2c4 ].
% 55.20/55.38 apply (zenon_L1001_); trivial.
% 55.20/55.38 apply (zenon_or_s _ _ zenon_H2c4); [ zenon_intro zenon_H1f3 | zenon_intro zenon_H234 ].
% 55.20/55.38 apply (zenon_or_s _ _ zenon_H2e7); [ zenon_intro zenon_H2ac | zenon_intro zenon_H2e8 ].
% 55.20/55.38 apply (zenon_L154_); trivial.
% 55.20/55.38 apply (zenon_or_s _ _ zenon_H2e8); [ zenon_intro zenon_H2e3 | zenon_intro zenon_H2e9 ].
% 55.20/55.38 apply (zenon_L482_); trivial.
% 55.20/55.38 apply (zenon_or_s _ _ zenon_H2e9); [ zenon_intro zenon_H1d3 | zenon_intro zenon_H235 ].
% 55.20/55.38 exact (zenon_H29d zenon_H1d3).
% 55.20/55.38 apply (zenon_or_s _ _ zenon_H186); [ zenon_intro zenon_H16b | zenon_intro zenon_H187 ].
% 55.20/55.38 apply (zenon_or_s _ _ zenon_H32e); [ zenon_intro zenon_H31b | zenon_intro zenon_H32f ].
% 55.20/55.38 apply (zenon_L496_); trivial.
% 55.20/55.38 apply (zenon_or_s _ _ zenon_H32f); [ zenon_intro zenon_H1ec | zenon_intro zenon_H330 ].
% 55.20/55.38 apply (zenon_L95_); trivial.
% 55.20/55.38 apply (zenon_or_s _ _ zenon_H330); [ zenon_intro zenon_H22f | zenon_intro zenon_H17f ].
% 55.20/55.38 apply (zenon_L118_); trivial.
% 55.20/55.38 apply (zenon_L71_); trivial.
% 55.20/55.38 apply (zenon_or_s _ _ zenon_H187); [ zenon_intro zenon_H171 | zenon_intro zenon_H188 ].
% 55.20/55.38 apply (zenon_L69_); trivial.
% 55.20/55.38 apply (zenon_or_s _ _ zenon_H188); [ zenon_intro zenon_H178 | zenon_intro zenon_H17f ].
% 55.20/55.38 apply (zenon_L70_); trivial.
% 55.20/55.38 apply (zenon_L71_); trivial.
% 55.20/55.38 apply (zenon_L1002_); trivial.
% 55.20/55.38 (* end of lemma zenon_L1048_ *)
% 55.20/55.38 assert (zenon_L1049_ : (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> ((op1 (e11) (op1 (e11) (e13))) = (e13)) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> ((e12) = (op1 (op1 (op1 (e11) (e11)) (op1 (e11) (e11))) (op1 (e11) (e11)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> ((op2 (e23) (e22)) = (e21)) -> ((h2 (e13)) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((e23) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((h2 (e12)) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> ((e22) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> ((h2 (e11)) = (e21)) -> (~((h2 (op1 (e13) (e12))) = (op2 (h2 (e13)) (h2 (e12))))) -> (~((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) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> ((op1 (e11) (op1 (e11) (e12))) = (e12)) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e12) (e12)) = (e13))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((e12) = (e13))) -> ((op1 (e12) (e11)) = (e12)) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> ((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) -> ((e10) = (op1 (e11) (e11))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> False).
% 55.20/55.38 do 0 intro. intros zenon_H1a0 zenon_H29e zenon_H1f4 zenon_H155 zenon_H179 zenon_H3d1 zenon_H461 zenon_H3b zenon_H44f zenon_H3f zenon_H270 zenon_H534 zenon_H18e zenon_H18f zenon_H325 zenon_H2c2 zenon_H15a zenon_H2b9 zenon_H180 zenon_H172 zenon_H32e zenon_H30e zenon_H375 zenon_H1ed zenon_H186 zenon_H29d zenon_H2e7 zenon_H2ad zenon_H236 zenon_H202 zenon_H1d8 zenon_H2c0 zenon_H358 zenon_H154 zenon_H1fa zenon_H17 zenon_H1e zenon_H15 zenon_H13 zenon_H25.
% 55.20/55.38 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_H1a3 | zenon_intro zenon_H1a2 ].
% 55.20/55.38 apply (zenon_or_s _ _ zenon_H1fa); [ zenon_intro zenon_H156 | zenon_intro zenon_H1fb ].
% 55.20/55.38 apply (zenon_L63_); trivial.
% 55.20/55.38 apply (zenon_or_s _ _ zenon_H1fb); [ zenon_intro zenon_H1b8 | zenon_intro zenon_H1fc ].
% 55.20/55.38 apply (zenon_L1003_); trivial.
% 55.20/55.38 apply (zenon_or_s _ _ zenon_H1fc); [ zenon_intro zenon_H1c6 | zenon_intro zenon_H1ec ].
% 55.20/55.38 apply (zenon_L1048_); trivial.
% 55.20/55.38 apply (zenon_L987_); trivial.
% 55.20/55.38 apply (zenon_or_s _ _ zenon_H1a2); [ zenon_intro zenon_H16 | zenon_intro zenon_H1a4 ].
% 55.20/55.38 apply (zenon_L2_); trivial.
% 55.20/55.38 apply (zenon_or_s _ _ zenon_H1a4); [ zenon_intro zenon_H1d | zenon_intro zenon_H24 ].
% 55.20/55.38 apply (zenon_L3_); trivial.
% 55.20/55.38 apply (zenon_L4_); trivial.
% 55.20/55.38 (* end of lemma zenon_L1049_ *)
% 55.20/55.38 assert (zenon_L1050_ : (((op2 (e23) (e22)) = (e20))\/(((op2 (e23) (e22)) = (e21))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e22)) = (e23))))) -> ((op2 (e20) (e22)) = (e20)) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> ((e10) = (op1 (e11) (e11))) -> ((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e12) (e11)) = (e12)) -> (~((e12) = (e13))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e12) (e12)) = (e13))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> ((op1 (e11) (op1 (e11) (e12))) = (e12)) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> ((op1 (e10) (e12)) = (e10)) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((h2 (op1 (e13) (e12))) = (op2 (h2 (e13)) (h2 (e12))))) -> ((h2 (e11)) = (e21)) -> ((h2 (e12)) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> ((h2 (e13)) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> ((e12) = (op1 (op1 (op1 (e11) (e11)) (op1 (e11) (e11))) (op1 (e11) (e11)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e11) (op1 (e11) (e13))) = (e13)) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> ((e22) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> ((e23) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((op2 (e20) (e20)) = (e23)) -> ((op2 (e22) (e22)) = (e23)) -> ((e20) = (op2 (e21) (e21))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> False).
% 55.20/55.38 do 0 intro. intros zenon_H3f4 zenon_H57 zenon_H3cb zenon_H25 zenon_H13 zenon_H15 zenon_H1e zenon_H17 zenon_H1fa zenon_H154 zenon_H358 zenon_H2c0 zenon_H1d8 zenon_H202 zenon_H236 zenon_H2ad zenon_H2e7 zenon_H29d zenon_H186 zenon_H1ed zenon_H375 zenon_H30e zenon_H32e zenon_H172 zenon_H180 zenon_H2b9 zenon_H15a zenon_H2c2 zenon_H325 zenon_H18f zenon_H18e zenon_H534 zenon_H270 zenon_H44f zenon_H461 zenon_H179 zenon_H155 zenon_H1f4 zenon_H29e zenon_H1a0 zenon_H67 zenon_H3f zenon_H3b zenon_Ha8 zenon_Hf6 zenon_H33 zenon_Hfc.
% 55.20/55.38 apply (zenon_or_s _ _ zenon_H3f4); [ zenon_intro zenon_H81 | zenon_intro zenon_H3f5 ].
% 55.20/55.38 apply (zenon_L357_); trivial.
% 55.20/55.38 apply (zenon_or_s _ _ zenon_H3f5); [ zenon_intro zenon_H3d1 | zenon_intro zenon_H3f6 ].
% 55.20/55.38 apply (zenon_L1049_); trivial.
% 55.20/55.38 apply (zenon_or_s _ _ zenon_H3f6); [ zenon_intro zenon_H66 | zenon_intro zenon_Hfb ].
% 55.20/55.38 apply (zenon_L16_); trivial.
% 55.20/55.38 apply (zenon_L50_); trivial.
% 55.20/55.38 (* end of lemma zenon_L1050_ *)
% 55.20/55.38 assert (zenon_L1051_ : (((op2 (e22) (e20)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e22) (e23)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> (~((e22) = (e23))) -> ((op2 (e22) (e21)) = (e22)) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> ((op2 (e20) (e20)) = (e23)) -> ((e22) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> ((op1 (e11) (op1 (e11) (e13))) = (e13)) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> ((e12) = (op1 (op1 (op1 (e11) (e11)) (op1 (e11) (e11))) (op1 (e11) (e11)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> ((h2 (e13)) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((h2 (e12)) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> ((h2 (e11)) = (e21)) -> (~((h2 (op1 (e13) (e12))) = (op2 (h2 (e13)) (h2 (e12))))) -> (~((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) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> ((op1 (e11) (op1 (e11) (e12))) = (e12)) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e12) (e12)) = (e13))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((e12) = (e13))) -> ((op1 (e12) (e11)) = (e12)) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> ((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) -> ((e10) = (op1 (e11) (e11))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> ((op2 (e20) (e22)) = (e20)) -> (((op2 (e23) (e22)) = (e20))\/(((op2 (e23) (e22)) = (e21))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e22)) = (e23))))) -> ((e23) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((op2 (e21) (e21)) = (e23)) -> ((e20) = (op2 (e21) (e21))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> False).
% 55.20/55.38 do 0 intro. intros zenon_H3f1 zenon_H11f zenon_Hec zenon_Hd3 zenon_Hfc zenon_Ha8 zenon_H3f zenon_H67 zenon_H1a0 zenon_H29e zenon_H1f4 zenon_H155 zenon_H179 zenon_H461 zenon_H44f zenon_H270 zenon_H534 zenon_H18e zenon_H18f zenon_H325 zenon_H2c2 zenon_H15a zenon_H2b9 zenon_H180 zenon_H172 zenon_H32e zenon_H30e zenon_H375 zenon_H1ed zenon_H186 zenon_H29d zenon_H2e7 zenon_H2ad zenon_H236 zenon_H202 zenon_H1d8 zenon_H2c0 zenon_H358 zenon_H154 zenon_H1fa zenon_H17 zenon_H1e zenon_H15 zenon_H13 zenon_H25 zenon_H3cb zenon_H57 zenon_H3f4 zenon_H3b zenon_H388 zenon_H33 zenon_H116.
% 55.20/55.38 apply (zenon_or_s _ _ zenon_H3f1); [ zenon_intro zenon_H3df | zenon_intro zenon_H3f2 ].
% 55.20/55.38 apply (zenon_L364_); trivial.
% 55.20/55.38 apply (zenon_or_s _ _ zenon_H3f2); [ zenon_intro zenon_H3ba | zenon_intro zenon_H3f3 ].
% 55.20/55.38 apply (zenon_L350_); trivial.
% 55.20/55.38 apply (zenon_or_s _ _ zenon_H3f3); [ zenon_intro zenon_Hf6 | zenon_intro zenon_Heb ].
% 55.20/55.38 apply (zenon_L1050_); trivial.
% 55.20/55.38 apply (zenon_L323_); trivial.
% 55.20/55.38 (* end of lemma zenon_L1051_ *)
% 55.20/55.38 assert (zenon_L1052_ : (((op2 (e22) (e20)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e22) (e23)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> (~((e22) = (e23))) -> ((op2 (e22) (e21)) = (e22)) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> ((e20) = (op2 (e21) (e21))) -> ((op2 (e20) (e20)) = (e23)) -> ((e23) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((e22) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> ((op1 (e11) (op1 (e11) (e13))) = (e13)) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> ((e12) = (op1 (op1 (op1 (e11) (e11)) (op1 (e11) (e11))) (op1 (e11) (e11)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> ((h2 (e13)) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((h2 (e12)) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> ((h2 (e11)) = (e21)) -> (~((h2 (op1 (e13) (e12))) = (op2 (h2 (e13)) (h2 (e12))))) -> (~((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) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> ((op1 (e11) (op1 (e11) (e12))) = (e12)) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e12) (e12)) = (e13))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((e12) = (e13))) -> ((op1 (e12) (e11)) = (e12)) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> ((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) -> ((e10) = (op1 (e11) (e11))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> ((op2 (e20) (e22)) = (e20)) -> (((op2 (e23) (e22)) = (e20))\/(((op2 (e23) (e22)) = (e21))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e22)) = (e23))))) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> ((op2 (e21) (op2 (e21) (e23))) = (e23)) -> ((op2 (e21) (e23)) = (e23)) -> False).
% 55.20/55.38 do 0 intro. intros zenon_H3f1 zenon_H11f zenon_Hec zenon_Hd3 zenon_Hfc zenon_H33 zenon_Ha8 zenon_H3b zenon_H3f zenon_H67 zenon_H1a0 zenon_H29e zenon_H1f4 zenon_H155 zenon_H179 zenon_H461 zenon_H44f zenon_H270 zenon_H534 zenon_H18e zenon_H18f zenon_H325 zenon_H2c2 zenon_H15a zenon_H2b9 zenon_H180 zenon_H172 zenon_H32e zenon_H30e zenon_H375 zenon_H1ed zenon_H186 zenon_H29d zenon_H2e7 zenon_H2ad zenon_H236 zenon_H202 zenon_H1d8 zenon_H2c0 zenon_H358 zenon_H154 zenon_H1fa zenon_H17 zenon_H1e zenon_H15 zenon_H13 zenon_H25 zenon_H3cb zenon_H57 zenon_H3f4 zenon_H394 zenon_H395 zenon_He9.
% 55.20/55.38 apply (zenon_or_s _ _ zenon_H3f1); [ zenon_intro zenon_H3df | zenon_intro zenon_H3f2 ].
% 55.20/55.38 apply (zenon_L364_); trivial.
% 55.20/55.38 apply (zenon_or_s _ _ zenon_H3f2); [ zenon_intro zenon_H3ba | zenon_intro zenon_H3f3 ].
% 55.20/55.38 apply (zenon_L350_); trivial.
% 55.20/55.38 apply (zenon_or_s _ _ zenon_H3f3); [ zenon_intro zenon_Hf6 | zenon_intro zenon_Heb ].
% 55.20/55.38 apply (zenon_L1050_); trivial.
% 55.20/55.38 apply (zenon_L326_); trivial.
% 55.20/55.38 (* end of lemma zenon_L1052_ *)
% 55.20/55.38 assert (zenon_L1053_ : (((op1 (e10) (e12)) = (e10))/\(((op1 (e12) (e10)) = (e10))/\(((~((op1 (e12) (e10)) = (e12)))\/(~((op1 (e12) (e12)) = (e10))))/\(((~((op1 (e12) (e11)) = (e12)))\/(~((op1 (e12) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13))))))))) -> (~((op2 (e20) (e20)) = (e20))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> ((e20) = (op2 (e21) (e21))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e20) (e21)) = (e23))\/(((op2 (e20) (e22)) = (e23))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e22)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> ((e23) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> (((op2 (e22) (e20)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e22) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> ((e12) = (op1 (op1 (op1 (e11) (e11)) (op1 (e11) (e11))) (op1 (e11) (e11)))) -> ((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) -> ((e10) = (op1 (e11) (e11))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> ((op1 (e11) (op1 (e11) (e13))) = (e13)) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((e12) = (e13))) -> ((op1 (e12) (e11)) = (e12)) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> ((e22) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> ((h2 (e12)) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> ((h2 (e13)) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((h2 (e11)) = (e21)) -> (~((h2 (op1 (e13) (e12))) = (op2 (h2 (e13)) (h2 (e12))))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> ((op1 (e11) (op1 (e11) (e12))) = (e12)) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e23) (e22)) = (e20))\/(((op2 (e23) (e22)) = (e21))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e22)) = (e23))))) -> ((op2 (e22) (e21)) = (e22)) -> (~((e22) = (e23))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> ((op2 (e21) (op2 (e21) (e22))) = (e22)) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> ((op2 (e20) (e21)) = (e21)) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e23)) = (e20))) -> ((op2 (e21) (op2 (e21) (e23))) = (e23)) -> (~((op2 (e21) (e23)) = (op2 (e22) (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))))) -> False).
% 55.20/55.38 do 0 intro. intros zenon_H197 zenon_H31 zenon_H8d zenon_H33 zenon_Ha5 zenon_H98 zenon_H93 zenon_H45 zenon_H3b zenon_H3f1 zenon_H116 zenon_H3cb zenon_H1a0 zenon_H25 zenon_H1e zenon_H17 zenon_H154 zenon_H155 zenon_H15 zenon_H13 zenon_H2c2 zenon_H2c0 zenon_H29e zenon_H358 zenon_H2ad zenon_H236 zenon_H202 zenon_H325 zenon_H1d8 zenon_H179 zenon_H3f zenon_H44f zenon_H461 zenon_H270 zenon_H534 zenon_H18e zenon_H2b9 zenon_H2e7 zenon_H15a zenon_H32e zenon_H180 zenon_H1ed zenon_H375 zenon_H30e zenon_H172 zenon_H186 zenon_H1f4 zenon_H1fa zenon_H67 zenon_Hfc zenon_H3f4 zenon_Hd3 zenon_Hec zenon_H11f zenon_H489 zenon_H9f zenon_H481 zenon_H3a8 zenon_Hb9 zenon_H3c2 zenon_Had zenon_H395 zenon_H394 zenon_H399 zenon_Hac.
% 55.20/55.38 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_H18f. zenon_intro zenon_H198.
% 55.20/55.38 apply (zenon_and_s _ _ zenon_H198). zenon_intro zenon_H293. zenon_intro zenon_H227.
% 55.20/55.38 apply (zenon_and_s _ _ zenon_H227). zenon_intro zenon_H229. zenon_intro zenon_H228.
% 55.20/55.38 apply (zenon_and_s _ _ zenon_H228). zenon_intro zenon_H22b. zenon_intro zenon_H22a.
% 55.20/55.38 apply (zenon_and_s _ _ zenon_H22a). zenon_intro zenon_H224. zenon_intro zenon_H22c.
% 55.20/55.38 apply (zenon_or_s _ _ zenon_H22c); [ zenon_intro zenon_H27d | zenon_intro zenon_H29d ].
% 55.20/55.38 apply (zenon_or_s _ _ zenon_Hac); [ zenon_intro zenon_H2d | zenon_intro zenon_Hae ].
% 55.20/55.38 exact (zenon_H31 zenon_H2d).
% 55.20/55.38 apply (zenon_or_s _ _ zenon_Hae); [ zenon_intro zenon_H51 | zenon_intro zenon_Haf ].
% 55.20/55.38 apply (zenon_L24_); trivial.
% 55.20/55.38 apply (zenon_or_s _ _ zenon_Haf); [ zenon_intro zenon_H57 | zenon_intro zenon_H8b ].
% 55.20/55.38 apply (zenon_or_s _ _ zenon_Ha5); [ zenon_intro zenon_Ha8 | zenon_intro zenon_Ha7 ].
% 55.20/55.38 apply (zenon_or_s _ _ zenon_H399); [ zenon_intro zenon_H44 | zenon_intro zenon_H39a ].
% 55.20/55.38 apply (zenon_L10_); trivial.
% 55.20/55.38 apply (zenon_or_s _ _ zenon_H39a); [ zenon_intro zenon_H388 | zenon_intro zenon_H39b ].
% 55.20/55.38 apply (zenon_L1046_); trivial.
% 55.20/55.38 apply (zenon_or_s _ _ zenon_H39b); [ zenon_intro zenon_H38e | zenon_intro zenon_He9 ].
% 55.20/55.38 apply (zenon_L590_); trivial.
% 55.20/55.38 apply (zenon_L1047_); trivial.
% 55.20/55.38 apply (zenon_or_s _ _ zenon_Ha7); [ zenon_intro zenon_H92 | zenon_intro zenon_Ha9 ].
% 55.20/55.38 apply (zenon_L25_); trivial.
% 55.20/55.38 apply (zenon_or_s _ _ zenon_Ha9); [ zenon_intro zenon_H97 | zenon_intro zenon_H9e ].
% 55.20/55.38 apply (zenon_L26_); trivial.
% 55.20/55.38 apply (zenon_L27_); trivial.
% 55.20/55.38 exact (zenon_Had zenon_H8b).
% 55.20/55.38 apply (zenon_or_s _ _ zenon_Hac); [ zenon_intro zenon_H2d | zenon_intro zenon_Hae ].
% 55.20/55.38 exact (zenon_H31 zenon_H2d).
% 55.20/55.38 apply (zenon_or_s _ _ zenon_Hae); [ zenon_intro zenon_H51 | zenon_intro zenon_Haf ].
% 55.20/55.38 apply (zenon_L24_); trivial.
% 55.20/55.38 apply (zenon_or_s _ _ zenon_Haf); [ zenon_intro zenon_H57 | zenon_intro zenon_H8b ].
% 55.20/55.38 apply (zenon_or_s _ _ zenon_Ha5); [ zenon_intro zenon_Ha8 | zenon_intro zenon_Ha7 ].
% 55.20/55.38 apply (zenon_or_s _ _ zenon_H399); [ zenon_intro zenon_H44 | zenon_intro zenon_H39a ].
% 55.20/55.38 apply (zenon_L10_); trivial.
% 55.20/55.38 apply (zenon_or_s _ _ zenon_H39a); [ zenon_intro zenon_H388 | zenon_intro zenon_H39b ].
% 55.20/55.38 apply (zenon_L1051_); trivial.
% 55.20/55.38 apply (zenon_or_s _ _ zenon_H39b); [ zenon_intro zenon_H38e | zenon_intro zenon_He9 ].
% 55.20/55.38 apply (zenon_L590_); trivial.
% 55.20/55.38 apply (zenon_L1052_); trivial.
% 55.20/55.38 apply (zenon_or_s _ _ zenon_Ha7); [ zenon_intro zenon_H92 | zenon_intro zenon_Ha9 ].
% 55.20/55.38 apply (zenon_L25_); trivial.
% 55.20/55.38 apply (zenon_or_s _ _ zenon_Ha9); [ zenon_intro zenon_H97 | zenon_intro zenon_H9e ].
% 55.20/55.38 apply (zenon_L26_); trivial.
% 55.20/55.38 apply (zenon_L27_); trivial.
% 55.20/55.38 exact (zenon_Had zenon_H8b).
% 55.20/55.38 (* end of lemma zenon_L1053_ *)
% 55.20/55.38 assert (zenon_L1054_ : (((op2 (e22) (e20)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e22) (e23)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> (~((e22) = (e23))) -> ((op2 (e22) (e21)) = (e22)) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> ((op2 (e20) (e20)) = (e23)) -> ((e22) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (~((op1 (e10) (e10)) = (e10))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> ((e10) = (op1 (e11) (e11))) -> ((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> ((op1 (e11) (op1 (e11) (e12))) = (e12)) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((e12) = (e13))) -> ((op1 (e12) (e11)) = (e12)) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> ((e12) = (op1 (op1 (op1 (e11) (e11)) (op1 (e11) (e11))) (op1 (e11) (e11)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> ((h2 (e13)) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((h2 (e12)) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> ((h2 (e11)) = (e21)) -> (~((h2 (op1 (e13) (e12))) = (op2 (h2 (e13)) (h2 (e12))))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> ((op1 (e11) (op1 (e11) (e13))) = (e13)) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e10)) = (e12))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e13) (e10)) = (e12))))) -> (~((op1 (e10) (e10)) = (e12))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> (~((op1 (e10) (e13)) = (e10))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> ((op2 (e20) (e22)) = (e20)) -> (((op2 (e23) (e22)) = (e20))\/(((op2 (e23) (e22)) = (e21))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e22)) = (e23))))) -> ((e23) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((op2 (e21) (e21)) = (e23)) -> ((e20) = (op2 (e21) (e21))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> False).
% 55.20/55.38 do 0 intro. intros zenon_H3f1 zenon_H11f zenon_Hec zenon_Hd3 zenon_Hfc zenon_Ha8 zenon_H3f zenon_H67 zenon_H246 zenon_H146 zenon_H19d zenon_H25 zenon_H13 zenon_H15 zenon_H1e zenon_H17 zenon_H2c2 zenon_H15a zenon_H2b9 zenon_H30e zenon_H375 zenon_H2e7 zenon_H2ad zenon_H236 zenon_H202 zenon_H1d8 zenon_H155 zenon_H179 zenon_H461 zenon_H44f zenon_H270 zenon_H534 zenon_H18e zenon_H325 zenon_H2c0 zenon_H29e zenon_H1a0 zenon_H4c3 zenon_H4c4 zenon_H21a zenon_H1f4 zenon_H358 zenon_H154 zenon_H1fa zenon_H204 zenon_H4c2 zenon_H25f zenon_H3cb zenon_H57 zenon_H3f4 zenon_H3b zenon_H388 zenon_H33 zenon_H116.
% 55.20/55.38 apply (zenon_or_s _ _ zenon_H3f1); [ zenon_intro zenon_H3df | zenon_intro zenon_H3f2 ].
% 55.20/55.38 apply (zenon_L364_); trivial.
% 55.20/55.38 apply (zenon_or_s _ _ zenon_H3f2); [ zenon_intro zenon_H3ba | zenon_intro zenon_H3f3 ].
% 55.20/55.38 apply (zenon_L350_); trivial.
% 55.20/55.38 apply (zenon_or_s _ _ zenon_H3f3); [ zenon_intro zenon_Hf6 | zenon_intro zenon_Heb ].
% 55.20/55.38 apply (zenon_L1007_); trivial.
% 55.20/55.38 apply (zenon_L323_); trivial.
% 55.20/55.38 (* end of lemma zenon_L1054_ *)
% 55.20/55.38 assert (zenon_L1055_ : (((op2 (e22) (e20)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e22) (e23)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> (~((e22) = (e23))) -> ((op2 (e22) (e21)) = (e22)) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> ((e20) = (op2 (e21) (e21))) -> ((op2 (e20) (e20)) = (e23)) -> ((e23) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((e22) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (~((op1 (e10) (e10)) = (e10))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> ((e10) = (op1 (e11) (e11))) -> ((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> ((op1 (e11) (op1 (e11) (e12))) = (e12)) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((e12) = (e13))) -> ((op1 (e12) (e11)) = (e12)) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> ((e12) = (op1 (op1 (op1 (e11) (e11)) (op1 (e11) (e11))) (op1 (e11) (e11)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> ((h2 (e13)) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((h2 (e12)) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> ((h2 (e11)) = (e21)) -> (~((h2 (op1 (e13) (e12))) = (op2 (h2 (e13)) (h2 (e12))))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> ((op1 (e11) (op1 (e11) (e13))) = (e13)) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e10)) = (e12))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e13) (e10)) = (e12))))) -> (~((op1 (e10) (e10)) = (e12))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> (~((op1 (e10) (e13)) = (e10))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> ((op2 (e20) (e22)) = (e20)) -> (((op2 (e23) (e22)) = (e20))\/(((op2 (e23) (e22)) = (e21))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e22)) = (e23))))) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> ((op2 (e21) (op2 (e21) (e23))) = (e23)) -> ((op2 (e21) (e23)) = (e23)) -> False).
% 55.20/55.38 do 0 intro. intros zenon_H3f1 zenon_H11f zenon_Hec zenon_Hd3 zenon_Hfc zenon_H33 zenon_Ha8 zenon_H3b zenon_H3f zenon_H67 zenon_H246 zenon_H146 zenon_H19d zenon_H25 zenon_H13 zenon_H15 zenon_H1e zenon_H17 zenon_H2c2 zenon_H15a zenon_H2b9 zenon_H30e zenon_H375 zenon_H2e7 zenon_H2ad zenon_H236 zenon_H202 zenon_H1d8 zenon_H155 zenon_H179 zenon_H461 zenon_H44f zenon_H270 zenon_H534 zenon_H18e zenon_H325 zenon_H2c0 zenon_H29e zenon_H1a0 zenon_H4c3 zenon_H4c4 zenon_H21a zenon_H1f4 zenon_H358 zenon_H154 zenon_H1fa zenon_H204 zenon_H4c2 zenon_H25f zenon_H3cb zenon_H57 zenon_H3f4 zenon_H394 zenon_H395 zenon_He9.
% 55.20/55.38 apply (zenon_or_s _ _ zenon_H3f1); [ zenon_intro zenon_H3df | zenon_intro zenon_H3f2 ].
% 55.20/55.38 apply (zenon_L364_); trivial.
% 55.20/55.38 apply (zenon_or_s _ _ zenon_H3f2); [ zenon_intro zenon_H3ba | zenon_intro zenon_H3f3 ].
% 55.20/55.38 apply (zenon_L350_); trivial.
% 55.20/55.38 apply (zenon_or_s _ _ zenon_H3f3); [ zenon_intro zenon_Hf6 | zenon_intro zenon_Heb ].
% 55.20/55.38 apply (zenon_L1007_); trivial.
% 55.20/55.38 apply (zenon_L326_); trivial.
% 55.20/55.38 (* end of lemma zenon_L1055_ *)
% 55.20/55.38 assert (zenon_L1056_ : ((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12)))) -> (((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))))) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> ((op2 (e21) (op2 (e21) (e23))) = (e23)) -> (~((op2 (e20) (e23)) = (e20))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> ((op2 (e20) (e21)) = (e21)) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> ((op2 (e21) (op2 (e21) (e22))) = (e22)) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> (~((e22) = (e23))) -> ((op2 (e22) (e21)) = (e22)) -> (((op2 (e23) (e22)) = (e20))\/(((op2 (e23) (e22)) = (e21))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e22)) = (e23))))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> ((op1 (e11) (op1 (e11) (e12))) = (e12)) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> ((op1 (e11) (op1 (e11) (e13))) = (e13)) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((e12) = (e13))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> ((e22) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> ((h2 (e12)) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> ((h2 (e13)) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((h2 (e11)) = (e21)) -> (~((h2 (op1 (e13) (e12))) = (op2 (h2 (e13)) (h2 (e12))))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> ((e12) = (op1 (op1 (op1 (e11) (e11)) (op1 (e11) (e11))) (op1 (e11) (e11)))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> ((op1 (e12) (e11)) = (e12)) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e10)) = (e12))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e13) (e10)) = (e12))))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e22) (e20)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e22) (e23)) = (e23))))) -> ((e23) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e22)))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e20) (e21)) = (e23))\/(((op2 (e20) (e22)) = (e23))\/((op2 (e20) (e23)) = (e23))))) -> ((e20) = (op2 (e21) (e21))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> (~((op2 (e20) (e20)) = (e20))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> ((e10) = (op1 (e11) (e11))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (~((op1 (e10) (e10)) = (e10))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> ((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> ((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))) -> False).
% 55.20/55.38 do 0 intro. intros zenon_H25e zenon_Hac zenon_H399 zenon_H394 zenon_H395 zenon_Had zenon_H3c2 zenon_Hb9 zenon_H3a8 zenon_H481 zenon_H9f zenon_H489 zenon_H11f zenon_Hec zenon_Hd3 zenon_H3f4 zenon_Hfc zenon_H67 zenon_H4c2 zenon_H375 zenon_H30e zenon_H2c2 zenon_H2c0 zenon_H29e zenon_H358 zenon_H2ad zenon_H236 zenon_H325 zenon_H1d8 zenon_H179 zenon_H3f zenon_H44f zenon_H461 zenon_H270 zenon_H534 zenon_H18e zenon_H2b9 zenon_H2e7 zenon_H15a zenon_H1f4 zenon_H1fa zenon_H154 zenon_H155 zenon_H21a zenon_H204 zenon_H202 zenon_H4c3 zenon_H3cb zenon_H116 zenon_H3f1 zenon_H3b zenon_H45 zenon_H93 zenon_H98 zenon_Ha5 zenon_H33 zenon_H8d zenon_H31 zenon_H246 zenon_H13 zenon_H19d zenon_H146 zenon_H1a0 zenon_H25 zenon_H1e zenon_H15 zenon_H17 zenon_H25d.
% 55.20/55.38 apply (zenon_or_s _ _ zenon_H25e); [ zenon_intro zenon_H458 | zenon_intro zenon_H4c4 ].
% 55.20/55.38 apply (zenon_L629_); trivial.
% 55.20/55.38 apply (zenon_or_s _ _ zenon_H25d); [ zenon_intro zenon_H25f | zenon_intro zenon_H1a1 ].
% 55.20/55.38 apply (zenon_or_s _ _ zenon_Hac); [ zenon_intro zenon_H2d | zenon_intro zenon_Hae ].
% 55.20/55.38 exact (zenon_H31 zenon_H2d).
% 55.20/55.38 apply (zenon_or_s _ _ zenon_Hae); [ zenon_intro zenon_H51 | zenon_intro zenon_Haf ].
% 55.20/55.38 apply (zenon_L24_); trivial.
% 55.20/55.38 apply (zenon_or_s _ _ zenon_Haf); [ zenon_intro zenon_H57 | zenon_intro zenon_H8b ].
% 55.20/55.38 apply (zenon_or_s _ _ zenon_Ha5); [ zenon_intro zenon_Ha8 | zenon_intro zenon_Ha7 ].
% 55.20/55.38 apply (zenon_or_s _ _ zenon_H399); [ zenon_intro zenon_H44 | zenon_intro zenon_H39a ].
% 55.20/55.38 apply (zenon_L10_); trivial.
% 55.20/55.38 apply (zenon_or_s _ _ zenon_H39a); [ zenon_intro zenon_H388 | zenon_intro zenon_H39b ].
% 55.20/55.38 apply (zenon_L1054_); trivial.
% 55.20/55.38 apply (zenon_or_s _ _ zenon_H39b); [ zenon_intro zenon_H38e | zenon_intro zenon_He9 ].
% 55.20/55.38 apply (zenon_L590_); trivial.
% 55.20/55.38 apply (zenon_L1055_); trivial.
% 55.20/55.38 apply (zenon_or_s _ _ zenon_Ha7); [ zenon_intro zenon_H92 | zenon_intro zenon_Ha9 ].
% 55.20/55.38 apply (zenon_L25_); trivial.
% 55.20/55.38 apply (zenon_or_s _ _ zenon_Ha9); [ zenon_intro zenon_H97 | zenon_intro zenon_H9e ].
% 55.20/55.38 apply (zenon_L26_); trivial.
% 55.20/55.38 apply (zenon_L27_); trivial.
% 55.20/55.38 exact (zenon_Had zenon_H8b).
% 55.20/55.38 apply (zenon_L79_); trivial.
% 55.20/55.38 (* end of lemma zenon_L1056_ *)
% 55.20/55.38 assert (zenon_L1057_ : (((op1 (e11) (e10)) = (e11))/\(((op1 (e10) (e11)) = (e11))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11))))/\(((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12))))/\((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13))))))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> ((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> ((e10) = (op1 (e11) (e11))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (~((op2 (e20) (e20)) = (e20))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> ((e20) = (op2 (e21) (e21))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e20) (e21)) = (e23))\/(((op2 (e20) (e22)) = (e23))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e22)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> ((e23) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> (((op2 (e22) (e20)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e22) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (((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)))) -> ((e12) = (op1 (op1 (op1 (e11) (e11)) (op1 (e11) (e11))) (op1 (e11) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((h2 (op1 (e13) (e12))) = (op2 (h2 (e13)) (h2 (e12))))) -> ((h2 (e11)) = (e21)) -> ((h2 (e13)) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((h2 (e12)) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> ((e22) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((e12) = (e13))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> ((op1 (e11) (op1 (e11) (e13))) = (e13)) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> ((op1 (e11) (op1 (e11) (e12))) = (e12)) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e23) (e22)) = (e20))\/(((op2 (e23) (e22)) = (e21))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e22)) = (e23))))) -> ((op2 (e22) (e21)) = (e22)) -> (~((e22) = (e23))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> ((op2 (e21) (op2 (e21) (e22))) = (e22)) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> ((op2 (e20) (e21)) = (e21)) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e23)) = (e20))) -> ((op2 (e21) (op2 (e21) (e23))) = (e23)) -> (~((op2 (e21) (e23)) = (op2 (e22) (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))))) -> False).
% 55.20/55.38 do 0 intro. intros zenon_H259 zenon_H17 zenon_H15 zenon_H1e zenon_H25 zenon_H1a0 zenon_H19d zenon_H13 zenon_H246 zenon_H31 zenon_H8d zenon_H33 zenon_Ha5 zenon_H98 zenon_H93 zenon_H45 zenon_H3b zenon_H3f1 zenon_H116 zenon_H3cb zenon_H4c3 zenon_H202 zenon_H204 zenon_H21a zenon_H155 zenon_H154 zenon_H1fa zenon_H1f4 zenon_H15a zenon_H2e7 zenon_H2b9 zenon_H18e zenon_H534 zenon_H270 zenon_H461 zenon_H44f zenon_H3f zenon_H179 zenon_H1d8 zenon_H325 zenon_H236 zenon_H2ad zenon_H358 zenon_H29e zenon_H2c0 zenon_H2c2 zenon_H30e zenon_H375 zenon_H4c2 zenon_H67 zenon_Hfc zenon_H3f4 zenon_Hd3 zenon_Hec zenon_H11f zenon_H489 zenon_H9f zenon_H481 zenon_H3a8 zenon_Hb9 zenon_H3c2 zenon_Had zenon_H395 zenon_H394 zenon_H399 zenon_Hac.
% 55.20/55.38 apply (zenon_and_s _ _ zenon_H259). zenon_intro zenon_H163. zenon_intro zenon_H25a.
% 55.20/55.38 apply (zenon_and_s _ _ zenon_H25a). zenon_intro zenon_H1fe. zenon_intro zenon_H149.
% 55.20/55.38 apply (zenon_and_s _ _ zenon_H149). zenon_intro zenon_H144. zenon_intro zenon_H14a.
% 55.20/55.38 apply (zenon_and_s _ _ zenon_H14a). zenon_intro zenon_H25c. zenon_intro zenon_H25b.
% 55.20/55.38 apply (zenon_and_s _ _ zenon_H25b). zenon_intro zenon_H25e. zenon_intro zenon_H25d.
% 55.20/55.38 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_H146 | zenon_intro zenon_H146 ].
% 55.20/55.38 apply (zenon_L1056_); trivial.
% 55.20/55.38 apply (zenon_L1056_); trivial.
% 55.20/55.38 (* end of lemma zenon_L1057_ *)
% 55.20/55.38 assert (zenon_L1058_ : ((~((op2 (e20) (e23)) = (e20)))\/(~((op2 (e20) (e20)) = (e23)))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e12))\/((op1 (e11) (e10)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> ((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) -> ((e12) = (op1 (op1 (op1 (e11) (e11)) (op1 (e11) (e11))) (op1 (e11) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((e10) = (e12))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e11)) = (e12))\/((op1 (e10) (e11)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (((op1 (e13) (e13)) = (e10))\/(((op1 (e13) (e13)) = (e11))\/(((op1 (e13) (e13)) = (e12))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (~((e12) = (e13))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> ((((op1 (e10) (e10)) = (e10))/\(((op1 (e10) (e10)) = (e10))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11))))/\(((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12))))/\((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))))))))\/((((op1 (e10) (e11)) = (e10))/\(((op1 (e11) (e10)) = (e10))/\(((~((op1 (e11) (e10)) = (e11)))\/(~((op1 (e11) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e11) (e12)) = (e11)))\/(~((op1 (e11) (e11)) = (e12))))/\((~((op1 (e11) (e13)) = (e11)))\/(~((op1 (e11) (e11)) = (e13)))))))))\/((((op1 (e10) (e12)) = (e10))/\(((op1 (e12) (e10)) = (e10))/\(((~((op1 (e12) (e10)) = (e12)))\/(~((op1 (e12) (e12)) = (e10))))/\(((~((op1 (e12) (e11)) = (e12)))\/(~((op1 (e12) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13)))))))))\/((((op1 (e10) (e13)) = (e10))/\(((op1 (e13) (e10)) = (e10))/\(((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e13) (e13)) = (e10))))/\(((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11))))/\(((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e13) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13)))))))))\/((((op1 (e11) (e10)) = (e11))/\(((op1 (e10) (e11)) = (e11))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11))))/\(((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12))))/\((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))))))))\/((((op1 (e11) (e11)) = (e11))/\(((op1 (e11) (e11)) = (e11))/\(((~((op1 (e11) (e10)) = (e11)))\/(~((op1 (e11) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e11) (e12)) = (e11)))\/(~((op1 (e11) (e11)) = (e12))))/\((~((op1 (e11) (e13)) = (e11)))\/(~((op1 (e11) (e11)) = (e13)))))))))\/((((op1 (e11) (e12)) = (e11))/\(((op1 (e12) (e11)) = (e11))/\(((~((op1 (e12) (e10)) = (e12)))\/(~((op1 (e12) (e12)) = (e10))))/\(((~((op1 (e12) (e11)) = (e12)))\/(~((op1 (e12) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13)))))))))\/((((op1 (e11) (e13)) = (e11))/\(((op1 (e13) (e11)) = (e11))/\(((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e13) (e13)) = (e10))))/\(((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11))))/\(((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e13) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13)))))))))\/((((op1 (e12) (e10)) = (e12))/\(((op1 (e10) (e12)) = (e12))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11))))/\(((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12))))/\((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))))))))\/((((op1 (e12) (e11)) = (e12))/\(((op1 (e11) (e12)) = (e12))/\(((~((op1 (e11) (e10)) = (e11)))\/(~((op1 (e11) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e11) (e12)) = (e11)))\/(~((op1 (e11) (e11)) = (e12))))/\((~((op1 (e11) (e13)) = (e11)))\/(~((op1 (e11) (e11)) = (e13)))))))))\/((((op1 (e12) (e12)) = (e12))/\(((op1 (e12) (e12)) = (e12))/\(((~((op1 (e12) (e10)) = (e12)))\/(~((op1 (e12) (e12)) = (e10))))/\(((~((op1 (e12) (e11)) = (e12)))\/(~((op1 (e12) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13)))))))))\/((((op1 (e12) (e13)) = (e12))/\(((op1 (e13) (e12)) = (e12))/\(((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e13) (e13)) = (e10))))/\(((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11))))/\(((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e13) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13)))))))))\/((((op1 (e13) (e10)) = (e13))/\(((op1 (e10) (e13)) = (e13))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11))))/\(((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12))))/\((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))))))))\/((((op1 (e13) (e11)) = (e13))/\(((op1 (e11) (e13)) = (e13))/\(((~((op1 (e11) (e10)) = (e11)))\/(~((op1 (e11) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e11) (e12)) = (e11)))\/(~((op1 (e11) (e11)) = (e12))))/\((~((op1 (e11) (e13)) = (e11)))\/(~((op1 (e11) (e11)) = (e13)))))))))\/((((op1 (e13) (e12)) = (e13))/\(((op1 (e12) (e13)) = (e13))/\(((~((op1 (e12) (e10)) = (e12)))\/(~((op1 (e12) (e12)) = (e10))))/\(((~((op1 (e12) (e11)) = (e12)))\/(~((op1 (e12) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13)))))))))\/(((op1 (e13) (e13)) = (e13))/\(((op1 (e13) (e13)) = (e13))/\(((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e13) (e13)) = (e10))))/\(((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11))))/\(((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e13) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13)))))))))))))))))))))))) -> ((e10) = (op1 (e11) (e11))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e10)) = (e12))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e13) (e10)) = (e12))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (((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))))) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> ((op2 (e21) (op2 (e21) (e23))) = (e23)) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> ((op2 (e20) (e21)) = (e21)) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> ((op2 (e21) (op2 (e21) (e22))) = (e22)) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> (~((e22) = (e23))) -> ((op2 (e22) (e21)) = (e22)) -> (((op2 (e23) (e22)) = (e20))\/(((op2 (e23) (e22)) = (e21))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e22)) = (e23))))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> ((e22) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> ((h2 (e12)) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> ((h2 (e13)) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((h2 (e11)) = (e21)) -> (~((h2 (op1 (e13) (e12))) = (op2 (h2 (e13)) (h2 (e12))))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e22) (e20)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e22) (e23)) = (e23))))) -> ((e23) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e22)))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e20) (e21)) = (e23))\/(((op2 (e20) (e22)) = (e23))\/((op2 (e20) (e23)) = (e23))))) -> ((e20) = (op2 (e21) (e21))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> (~((op2 (e20) (e20)) = (e20))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (((op1 (e10) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e12) (e11)) = (e13))))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e12) (e13)) = (e10))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> ((((op1 (e10) (op1 (e10) (e10))) = (e10))/\(((op1 (e10) (op1 (e10) (e11))) = (e11))/\(((op1 (e10) (op1 (e10) (e12))) = (e12))/\(((op1 (e10) (op1 (e10) (e13))) = (e13))/\(((~((op1 (e10) (e10)) = (e10)))\/((op1 (e10) (e10)) = (e10)))/\(((~((op1 (e11) (e11)) = (e10)))\/((op1 (e11) (e10)) = (e11)))/\(((~((op1 (e12) (e12)) = (e10)))\/((op1 (e12) (e10)) = (e12)))/\((~((op1 (e13) (e13)) = (e10)))\/((op1 (e13) (e10)) = (e13))))))))))\/((((op1 (e11) (op1 (e11) (e10))) = (e10))/\(((op1 (e11) (op1 (e11) (e11))) = (e11))/\(((op1 (e11) (op1 (e11) (e12))) = (e12))/\(((op1 (e11) (op1 (e11) (e13))) = (e13))/\(((~((op1 (e10) (e10)) = (e11)))\/((op1 (e10) (e11)) = (e10)))/\(((~((op1 (e11) (e11)) = (e11)))\/((op1 (e11) (e11)) = (e11)))/\(((~((op1 (e12) (e12)) = (e11)))\/((op1 (e12) (e11)) = (e12)))/\((~((op1 (e13) (e13)) = (e11)))\/((op1 (e13) (e11)) = (e13))))))))))\/((((op1 (e12) (op1 (e12) (e10))) = (e10))/\(((op1 (e12) (op1 (e12) (e11))) = (e11))/\(((op1 (e12) (op1 (e12) (e12))) = (e12))/\(((op1 (e12) (op1 (e12) (e13))) = (e13))/\(((~((op1 (e10) (e10)) = (e12)))\/((op1 (e10) (e12)) = (e10)))/\(((~((op1 (e11) (e11)) = (e12)))\/((op1 (e11) (e12)) = (e11)))/\(((~((op1 (e12) (e12)) = (e12)))\/((op1 (e12) (e12)) = (e12)))/\((~((op1 (e13) (e13)) = (e12)))\/((op1 (e13) (e12)) = (e13))))))))))\/(((op1 (e13) (op1 (e13) (e10))) = (e10))/\(((op1 (e13) (op1 (e13) (e11))) = (e11))/\(((op1 (e13) (op1 (e13) (e12))) = (e12))/\(((op1 (e13) (op1 (e13) (e13))) = (e13))/\(((~((op1 (e10) (e10)) = (e13)))\/((op1 (e10) (e13)) = (e10)))/\(((~((op1 (e11) (e11)) = (e13)))\/((op1 (e11) (e13)) = (e11)))/\(((~((op1 (e12) (e12)) = (e13)))\/((op1 (e12) (e13)) = (e12)))/\((~((op1 (e13) (e13)) = (e13)))\/((op1 (e13) (e13)) = (e13))))))))))))) -> False).
% 55.20/55.38 do 0 intro. intros zenon_Haa zenon_H15f zenon_H15a zenon_H15 zenon_H155 zenon_H154 zenon_H14b zenon_H186 zenon_H180 zenon_H179 zenon_H172 zenon_H16c zenon_H18a zenon_H18e zenon_H192 zenon_H246 zenon_H19d zenon_H1a0 zenon_H25 zenon_H1e zenon_H17 zenon_H1a9 zenon_H209 zenon_H206 zenon_H204 zenon_H1fd zenon_H1fa zenon_H1f7 zenon_H1f4 zenon_H1ed zenon_H1e8 zenon_H1da zenon_H1d8 zenon_H1cc zenon_H1de zenon_H1b1 zenon_H1be zenon_H20c zenon_H21a zenon_H236 zenon_H23b zenon_H245 zenon_H13 zenon_H30e zenon_H32e zenon_H2e7 zenon_H4c2 zenon_H2b1 zenon_H2ad zenon_H2a5 zenon_H2a3 zenon_H2c2 zenon_H2c0 zenon_H2b9 zenon_H474 zenon_H4c3 zenon_H4df zenon_Hac zenon_H399 zenon_H394 zenon_H395 zenon_H3c2 zenon_Hb9 zenon_H3a8 zenon_H481 zenon_H9f zenon_H489 zenon_H11f zenon_Hec zenon_Hd3 zenon_H3f4 zenon_Hfc zenon_H67 zenon_H358 zenon_H325 zenon_H3f zenon_H44f zenon_H461 zenon_H270 zenon_H534 zenon_H2c9 zenon_H3cb zenon_H116 zenon_H3f1 zenon_H3b zenon_H45 zenon_H93 zenon_H98 zenon_Ha5 zenon_H33 zenon_H8d zenon_H31 zenon_H313 zenon_H32b zenon_H2fd zenon_H2fb zenon_H2f6 zenon_H2f8 zenon_H328 zenon_H322 zenon_H321 zenon_H301 zenon_H30b zenon_H316 zenon_H2ea zenon_H2e2 zenon_H2e6 zenon_H2d9 zenon_H2d1 zenon_H35d zenon_H360 zenon_H345 zenon_H355 zenon_H36e.
% 55.20/55.38 apply (zenon_or_s _ _ zenon_Haa); [ zenon_intro zenon_Had | zenon_intro zenon_Ha6 ].
% 55.20/55.38 apply (zenon_or_s _ _ zenon_H36e); [ zenon_intro zenon_H244 | zenon_intro zenon_H36f ].
% 55.20/55.38 apply (zenon_L126_); trivial.
% 55.20/55.38 apply (zenon_or_s _ _ zenon_H36f); [ zenon_intro zenon_H371 | zenon_intro zenon_H370 ].
% 55.20/55.38 apply (zenon_and_s _ _ zenon_H371). zenon_intro zenon_H292. zenon_intro zenon_H372.
% 55.20/55.38 apply (zenon_and_s _ _ zenon_H372). zenon_intro zenon_H2a6. zenon_intro zenon_H373.
% 55.20/55.38 apply (zenon_and_s _ _ zenon_H373). zenon_intro zenon_H375. zenon_intro zenon_H374.
% 55.20/55.38 apply (zenon_and_s _ _ zenon_H374). zenon_intro zenon_H29e. zenon_intro zenon_H376.
% 55.20/55.38 apply (zenon_and_s _ _ zenon_H376). zenon_intro zenon_H378. zenon_intro zenon_H377.
% 55.20/55.38 apply (zenon_and_s _ _ zenon_H377). zenon_intro zenon_H37a. zenon_intro zenon_H379.
% 55.20/55.38 apply (zenon_and_s _ _ zenon_H379). zenon_intro zenon_H37c. zenon_intro zenon_H37b.
% 55.20/55.38 apply (zenon_or_s _ _ zenon_H37a); [ zenon_intro zenon_H473 | zenon_intro zenon_H1a7 ].
% 55.20/55.38 apply (zenon_or_s _ _ zenon_H37c); [ zenon_intro zenon_H23f | zenon_intro zenon_H202 ].
% 55.20/55.38 apply (zenon_or_s _ _ zenon_H37b); [ zenon_intro zenon_H20d | zenon_intro zenon_H1c3 ].
% 55.20/55.38 apply (zenon_or_s _ _ zenon_H245); [ zenon_intro zenon_H147 | zenon_intro zenon_H254 ].
% 55.20/55.38 apply (zenon_L60_); trivial.
% 55.20/55.38 apply (zenon_or_s _ _ zenon_H254); [ zenon_intro zenon_H164 | zenon_intro zenon_H255 ].
% 55.20/55.38 apply (zenon_L66_); trivial.
% 55.20/55.38 apply (zenon_or_s _ _ zenon_H255); [ zenon_intro zenon_H197 | zenon_intro zenon_H256 ].
% 55.20/55.38 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_H18f. zenon_intro zenon_H198.
% 55.20/55.38 apply (zenon_and_s _ _ zenon_H198). zenon_intro zenon_H293. zenon_intro zenon_H227.
% 55.20/55.38 apply (zenon_or_s _ _ zenon_Hac); [ zenon_intro zenon_H2d | zenon_intro zenon_Hae ].
% 55.20/55.38 exact (zenon_H31 zenon_H2d).
% 55.20/55.38 apply (zenon_or_s _ _ zenon_Hae); [ zenon_intro zenon_H51 | zenon_intro zenon_Haf ].
% 55.20/55.38 apply (zenon_L24_); trivial.
% 55.20/55.38 apply (zenon_or_s _ _ zenon_Haf); [ zenon_intro zenon_H57 | zenon_intro zenon_H8b ].
% 55.20/55.38 apply (zenon_or_s _ _ zenon_Ha5); [ zenon_intro zenon_Ha8 | zenon_intro zenon_Ha7 ].
% 55.20/55.38 apply (zenon_or_s _ _ zenon_H399); [ zenon_intro zenon_H44 | zenon_intro zenon_H39a ].
% 55.20/55.38 apply (zenon_L10_); trivial.
% 55.20/55.38 apply (zenon_or_s _ _ zenon_H39a); [ zenon_intro zenon_H388 | zenon_intro zenon_H39b ].
% 55.20/55.38 apply (zenon_L1028_); trivial.
% 55.20/55.38 apply (zenon_or_s _ _ zenon_H39b); [ zenon_intro zenon_H38e | zenon_intro zenon_He9 ].
% 55.20/55.38 apply (zenon_L590_); trivial.
% 55.20/55.38 apply (zenon_L1029_); trivial.
% 55.20/55.38 apply (zenon_or_s _ _ zenon_Ha7); [ zenon_intro zenon_H92 | zenon_intro zenon_Ha9 ].
% 55.20/55.38 apply (zenon_L25_); trivial.
% 55.20/55.38 apply (zenon_or_s _ _ zenon_Ha9); [ zenon_intro zenon_H97 | zenon_intro zenon_H9e ].
% 55.20/55.38 apply (zenon_L26_); trivial.
% 55.20/55.38 apply (zenon_L27_); trivial.
% 55.20/55.38 exact (zenon_Had zenon_H8b).
% 55.20/55.38 apply (zenon_or_s _ _ zenon_H256); [ zenon_intro zenon_H199 | zenon_intro zenon_H257 ].
% 55.20/55.38 apply (zenon_L77_); trivial.
% 55.20/55.38 apply (zenon_or_s _ _ zenon_H257); [ zenon_intro zenon_H259 | zenon_intro zenon_H258 ].
% 55.20/55.38 apply (zenon_L1033_); trivial.
% 55.20/55.38 apply (zenon_or_s _ _ zenon_H258); [ zenon_intro zenon_H1a5 | zenon_intro zenon_H262 ].
% 55.20/55.38 apply (zenon_L80_); trivial.
% 55.20/55.38 apply (zenon_or_s _ _ zenon_H262); [ zenon_intro zenon_H1ae | zenon_intro zenon_H263 ].
% 55.20/55.38 apply (zenon_L83_); trivial.
% 55.20/55.38 apply (zenon_or_s _ _ zenon_H263); [ zenon_intro zenon_H212 | zenon_intro zenon_H264 ].
% 55.20/55.38 apply (zenon_and_s _ _ zenon_H212). zenon_intro zenon_H214. zenon_intro zenon_H213.
% 55.20/55.38 apply (zenon_and_s _ _ zenon_H213). zenon_intro zenon_H1ff. zenon_intro zenon_H19c.
% 55.20/55.38 apply (zenon_and_s _ _ zenon_H19c). zenon_intro zenon_H216. zenon_intro zenon_H215.
% 55.20/55.38 apply (zenon_and_s _ _ zenon_H215). zenon_intro zenon_H218. zenon_intro zenon_H217.
% 55.20/55.38 apply (zenon_and_s _ _ zenon_H217). zenon_intro zenon_H219. zenon_intro zenon_H211.
% 55.20/55.38 apply (zenon_or_s _ _ zenon_H216); [ zenon_intro zenon_H1b6 | zenon_intro zenon_H193 ].
% 55.20/55.38 apply (zenon_or_s _ _ zenon_H219); [ zenon_intro zenon_H1bd | zenon_intro zenon_H185 ].
% 55.20/55.38 apply (zenon_L151_); trivial.
% 55.20/55.38 apply (zenon_or_s _ _ zenon_H211); [ zenon_intro zenon_H1c0 | zenon_intro zenon_H1c0 ].
% 55.20/55.38 apply (zenon_L1042_); trivial.
% 55.20/55.38 apply (zenon_L1042_); trivial.
% 55.20/55.38 apply (zenon_L107_); trivial.
% 55.20/55.38 apply (zenon_or_s _ _ zenon_H264); [ zenon_intro zenon_H220 | zenon_intro zenon_H265 ].
% 55.20/55.38 apply (zenon_L110_); trivial.
% 55.20/55.38 apply (zenon_or_s _ _ zenon_H265); [ zenon_intro zenon_H222 | zenon_intro zenon_H266 ].
% 55.20/55.38 apply (zenon_L111_); trivial.
% 55.20/55.38 apply (zenon_or_s _ _ zenon_H266); [ zenon_intro zenon_H225 | zenon_intro zenon_H267 ].
% 55.20/55.38 apply (zenon_L113_); trivial.
% 55.20/55.38 apply (zenon_or_s _ _ zenon_H267); [ zenon_intro zenon_H22d | zenon_intro zenon_H268 ].
% 55.20/55.38 apply (zenon_L114_); trivial.
% 55.20/55.38 apply (zenon_or_s _ _ zenon_H268); [ zenon_intro zenon_H230 | zenon_intro zenon_H269 ].
% 55.20/55.38 apply (zenon_L115_); trivial.
% 55.20/55.38 apply (zenon_or_s _ _ zenon_H269); [ zenon_intro zenon_H232 | zenon_intro zenon_H26a ].
% 55.20/55.38 apply (zenon_L116_); trivial.
% 55.20/55.38 apply (zenon_or_s _ _ zenon_H26a); [ zenon_intro zenon_H240 | zenon_intro zenon_H242 ].
% 55.20/55.38 apply (zenon_L166_); trivial.
% 55.20/55.38 apply (zenon_L125_); trivial.
% 55.20/55.38 apply (zenon_L1039_); trivial.
% 55.20/55.38 apply (zenon_or_s _ _ zenon_H245); [ zenon_intro zenon_H147 | zenon_intro zenon_H254 ].
% 55.20/55.38 apply (zenon_L60_); trivial.
% 55.20/55.38 apply (zenon_or_s _ _ zenon_H254); [ zenon_intro zenon_H164 | zenon_intro zenon_H255 ].
% 55.20/55.38 apply (zenon_L66_); trivial.
% 55.20/55.38 apply (zenon_or_s _ _ zenon_H255); [ zenon_intro zenon_H197 | zenon_intro zenon_H256 ].
% 55.20/55.38 apply (zenon_L1053_); trivial.
% 55.20/55.38 apply (zenon_or_s _ _ zenon_H256); [ zenon_intro zenon_H199 | zenon_intro zenon_H257 ].
% 55.20/55.38 apply (zenon_L77_); trivial.
% 55.20/55.38 apply (zenon_or_s _ _ zenon_H257); [ zenon_intro zenon_H259 | zenon_intro zenon_H258 ].
% 55.20/55.38 apply (zenon_L1057_); trivial.
% 55.20/55.38 apply (zenon_or_s _ _ zenon_H258); [ zenon_intro zenon_H1a5 | zenon_intro zenon_H262 ].
% 55.20/55.38 apply (zenon_L80_); trivial.
% 55.20/55.38 apply (zenon_or_s _ _ zenon_H262); [ zenon_intro zenon_H1ae | zenon_intro zenon_H263 ].
% 55.20/55.38 apply (zenon_L83_); trivial.
% 55.20/55.38 apply (zenon_or_s _ _ zenon_H263); [ zenon_intro zenon_H212 | zenon_intro zenon_H264 ].
% 55.20/55.38 apply (zenon_L169_); trivial.
% 55.20/55.38 apply (zenon_or_s _ _ zenon_H264); [ zenon_intro zenon_H220 | zenon_intro zenon_H265 ].
% 55.20/55.38 apply (zenon_L110_); trivial.
% 55.20/55.38 apply (zenon_or_s _ _ zenon_H265); [ zenon_intro zenon_H222 | zenon_intro zenon_H266 ].
% 55.20/55.38 apply (zenon_L111_); trivial.
% 55.20/55.38 apply (zenon_or_s _ _ zenon_H266); [ zenon_intro zenon_H225 | zenon_intro zenon_H267 ].
% 55.20/55.38 apply (zenon_L113_); trivial.
% 55.20/55.38 apply (zenon_or_s _ _ zenon_H267); [ zenon_intro zenon_H22d | zenon_intro zenon_H268 ].
% 55.20/55.38 apply (zenon_L114_); trivial.
% 55.20/55.38 apply (zenon_or_s _ _ zenon_H268); [ zenon_intro zenon_H230 | zenon_intro zenon_H269 ].
% 55.20/55.38 apply (zenon_L115_); trivial.
% 55.20/55.38 apply (zenon_or_s _ _ zenon_H269); [ zenon_intro zenon_H232 | zenon_intro zenon_H26a ].
% 55.20/55.38 apply (zenon_L116_); trivial.
% 55.20/55.38 apply (zenon_or_s _ _ zenon_H26a); [ zenon_intro zenon_H240 | zenon_intro zenon_H242 ].
% 55.20/55.38 apply (zenon_L166_); trivial.
% 55.20/55.38 apply (zenon_L125_); trivial.
% 55.20/55.38 apply (zenon_L532_); trivial.
% 55.20/55.38 apply (zenon_or_s _ _ zenon_H370); [ zenon_intro zenon_H335 | zenon_intro zenon_H363 ].
% 55.20/55.38 apply (zenon_L260_); trivial.
% 55.20/55.38 apply (zenon_L307_); trivial.
% 55.20/55.38 apply (zenon_L28_); trivial.
% 55.20/55.38 (* end of lemma zenon_L1058_ *)
% 55.20/55.38 assert (zenon_L1059_ : (((op2 (e21) (e20)) = (e21))/\(((op2 (e20) (e21)) = (e21))/\(((~((op2 (e20) (e20)) = (e20)))\/(~((op2 (e20) (e20)) = (e20))))/\(((~((op2 (e20) (e21)) = (e20)))\/(~((op2 (e20) (e20)) = (e21))))/\(((~((op2 (e20) (e22)) = (e20)))\/(~((op2 (e20) (e20)) = (e22))))/\((~((op2 (e20) (e23)) = (e20)))\/(~((op2 (e20) (e20)) = (e23))))))))) -> ((((op1 (e10) (op1 (e10) (e10))) = (e10))/\(((op1 (e10) (op1 (e10) (e11))) = (e11))/\(((op1 (e10) (op1 (e10) (e12))) = (e12))/\(((op1 (e10) (op1 (e10) (e13))) = (e13))/\(((~((op1 (e10) (e10)) = (e10)))\/((op1 (e10) (e10)) = (e10)))/\(((~((op1 (e11) (e11)) = (e10)))\/((op1 (e11) (e10)) = (e11)))/\(((~((op1 (e12) (e12)) = (e10)))\/((op1 (e12) (e10)) = (e12)))/\((~((op1 (e13) (e13)) = (e10)))\/((op1 (e13) (e10)) = (e13))))))))))\/((((op1 (e11) (op1 (e11) (e10))) = (e10))/\(((op1 (e11) (op1 (e11) (e11))) = (e11))/\(((op1 (e11) (op1 (e11) (e12))) = (e12))/\(((op1 (e11) (op1 (e11) (e13))) = (e13))/\(((~((op1 (e10) (e10)) = (e11)))\/((op1 (e10) (e11)) = (e10)))/\(((~((op1 (e11) (e11)) = (e11)))\/((op1 (e11) (e11)) = (e11)))/\(((~((op1 (e12) (e12)) = (e11)))\/((op1 (e12) (e11)) = (e12)))/\((~((op1 (e13) (e13)) = (e11)))\/((op1 (e13) (e11)) = (e13))))))))))\/((((op1 (e12) (op1 (e12) (e10))) = (e10))/\(((op1 (e12) (op1 (e12) (e11))) = (e11))/\(((op1 (e12) (op1 (e12) (e12))) = (e12))/\(((op1 (e12) (op1 (e12) (e13))) = (e13))/\(((~((op1 (e10) (e10)) = (e12)))\/((op1 (e10) (e12)) = (e10)))/\(((~((op1 (e11) (e11)) = (e12)))\/((op1 (e11) (e12)) = (e11)))/\(((~((op1 (e12) (e12)) = (e12)))\/((op1 (e12) (e12)) = (e12)))/\((~((op1 (e13) (e13)) = (e12)))\/((op1 (e13) (e12)) = (e13))))))))))\/(((op1 (e13) (op1 (e13) (e10))) = (e10))/\(((op1 (e13) (op1 (e13) (e11))) = (e11))/\(((op1 (e13) (op1 (e13) (e12))) = (e12))/\(((op1 (e13) (op1 (e13) (e13))) = (e13))/\(((~((op1 (e10) (e10)) = (e13)))\/((op1 (e10) (e13)) = (e10)))/\(((~((op1 (e11) (e11)) = (e13)))\/((op1 (e11) (e13)) = (e11)))/\(((~((op1 (e12) (e12)) = (e13)))\/((op1 (e12) (e13)) = (e12)))/\((~((op1 (e13) (e13)) = (e13)))\/((op1 (e13) (e13)) = (e13))))))))))))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e12) (e13)) = (e10))))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e12) (e11)) = (e13))))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> ((e20) = (op2 (e21) (e21))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e20) (e21)) = (e23))\/(((op2 (e20) (e22)) = (e23))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e22)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> ((e23) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> (((op2 (e22) (e20)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e22) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (~((h2 (op1 (e13) (e12))) = (op2 (h2 (e13)) (h2 (e12))))) -> ((h2 (e11)) = (e21)) -> ((h2 (e13)) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((h2 (e12)) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> ((e22) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e23) (e22)) = (e20))\/(((op2 (e23) (e22)) = (e21))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e22)) = (e23))))) -> ((op2 (e22) (e21)) = (e22)) -> (~((e22) = (e23))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> ((op2 (e21) (op2 (e21) (e22))) = (e22)) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> ((op2 (e21) (op2 (e21) (e23))) = (e23)) -> (~((op2 (e21) (e23)) = (op2 (e22) (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))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e10)) = (e12))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e13) (e10)) = (e12))))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> ((e10) = (op1 (e11) (e11))) -> ((((op1 (e10) (e10)) = (e10))/\(((op1 (e10) (e10)) = (e10))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11))))/\(((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12))))/\((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))))))))\/((((op1 (e10) (e11)) = (e10))/\(((op1 (e11) (e10)) = (e10))/\(((~((op1 (e11) (e10)) = (e11)))\/(~((op1 (e11) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e11) (e12)) = (e11)))\/(~((op1 (e11) (e11)) = (e12))))/\((~((op1 (e11) (e13)) = (e11)))\/(~((op1 (e11) (e11)) = (e13)))))))))\/((((op1 (e10) (e12)) = (e10))/\(((op1 (e12) (e10)) = (e10))/\(((~((op1 (e12) (e10)) = (e12)))\/(~((op1 (e12) (e12)) = (e10))))/\(((~((op1 (e12) (e11)) = (e12)))\/(~((op1 (e12) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13)))))))))\/((((op1 (e10) (e13)) = (e10))/\(((op1 (e13) (e10)) = (e10))/\(((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e13) (e13)) = (e10))))/\(((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11))))/\(((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e13) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13)))))))))\/((((op1 (e11) (e10)) = (e11))/\(((op1 (e10) (e11)) = (e11))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11))))/\(((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12))))/\((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))))))))\/((((op1 (e11) (e11)) = (e11))/\(((op1 (e11) (e11)) = (e11))/\(((~((op1 (e11) (e10)) = (e11)))\/(~((op1 (e11) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e11) (e12)) = (e11)))\/(~((op1 (e11) (e11)) = (e12))))/\((~((op1 (e11) (e13)) = (e11)))\/(~((op1 (e11) (e11)) = (e13)))))))))\/((((op1 (e11) (e12)) = (e11))/\(((op1 (e12) (e11)) = (e11))/\(((~((op1 (e12) (e10)) = (e12)))\/(~((op1 (e12) (e12)) = (e10))))/\(((~((op1 (e12) (e11)) = (e12)))\/(~((op1 (e12) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13)))))))))\/((((op1 (e11) (e13)) = (e11))/\(((op1 (e13) (e11)) = (e11))/\(((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e13) (e13)) = (e10))))/\(((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11))))/\(((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e13) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13)))))))))\/((((op1 (e12) (e10)) = (e12))/\(((op1 (e10) (e12)) = (e12))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11))))/\(((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12))))/\((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))))))))\/((((op1 (e12) (e11)) = (e12))/\(((op1 (e11) (e12)) = (e12))/\(((~((op1 (e11) (e10)) = (e11)))\/(~((op1 (e11) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e11) (e12)) = (e11)))\/(~((op1 (e11) (e11)) = (e12))))/\((~((op1 (e11) (e13)) = (e11)))\/(~((op1 (e11) (e11)) = (e13)))))))))\/((((op1 (e12) (e12)) = (e12))/\(((op1 (e12) (e12)) = (e12))/\(((~((op1 (e12) (e10)) = (e12)))\/(~((op1 (e12) (e12)) = (e10))))/\(((~((op1 (e12) (e11)) = (e12)))\/(~((op1 (e12) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13)))))))))\/((((op1 (e12) (e13)) = (e12))/\(((op1 (e13) (e12)) = (e12))/\(((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e13) (e13)) = (e10))))/\(((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11))))/\(((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e13) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13)))))))))\/((((op1 (e13) (e10)) = (e13))/\(((op1 (e10) (e13)) = (e13))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11))))/\(((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12))))/\((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))))))))\/((((op1 (e13) (e11)) = (e13))/\(((op1 (e11) (e13)) = (e13))/\(((~((op1 (e11) (e10)) = (e11)))\/(~((op1 (e11) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e11) (e12)) = (e11)))\/(~((op1 (e11) (e11)) = (e12))))/\((~((op1 (e11) (e13)) = (e11)))\/(~((op1 (e11) (e11)) = (e13)))))))))\/((((op1 (e13) (e12)) = (e13))/\(((op1 (e12) (e13)) = (e13))/\(((~((op1 (e12) (e10)) = (e12)))\/(~((op1 (e12) (e12)) = (e10))))/\(((~((op1 (e12) (e11)) = (e12)))\/(~((op1 (e12) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13)))))))))\/(((op1 (e13) (e13)) = (e13))/\(((op1 (e13) (e13)) = (e13))/\(((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e13) (e13)) = (e10))))/\(((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11))))/\(((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e13) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13)))))))))))))))))))))))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((e12) = (e13))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e13) (e13)) = (e10))\/(((op1 (e13) (e13)) = (e11))\/(((op1 (e13) (e13)) = (e12))\/((op1 (e13) (e13)) = (e13))))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (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) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e11)) = (e12))\/((op1 (e10) (e11)) = (e13))))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((e10) = (e12))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> ((e12) = (op1 (op1 (op1 (e11) (e11)) (op1 (e11) (e11))) (op1 (e11) (e11)))) -> ((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e12))\/((op1 (e11) (e10)) = (e13))))) -> False).
% 55.20/55.38 do 0 intro. intros zenon_Hb6 zenon_H36e zenon_H355 zenon_H345 zenon_H360 zenon_H35d zenon_H2d1 zenon_H2d9 zenon_H2e6 zenon_H2e2 zenon_H2ea zenon_H316 zenon_H30b zenon_H301 zenon_H321 zenon_H322 zenon_H328 zenon_H2f8 zenon_H2f6 zenon_H2fb zenon_H2fd zenon_H32b zenon_H313 zenon_H8d zenon_H33 zenon_Ha5 zenon_H98 zenon_H93 zenon_H45 zenon_H3b zenon_H3f1 zenon_H116 zenon_H3cb zenon_H2c9 zenon_H534 zenon_H270 zenon_H461 zenon_H44f zenon_H3f zenon_H325 zenon_H358 zenon_H67 zenon_Hfc zenon_H3f4 zenon_Hd3 zenon_Hec zenon_H11f zenon_H489 zenon_H9f zenon_H481 zenon_H3a8 zenon_H3c2 zenon_H395 zenon_H394 zenon_H399 zenon_Hac zenon_H4df zenon_H4c3 zenon_H474 zenon_H2b9 zenon_H2c0 zenon_H2c2 zenon_H2a3 zenon_H2a5 zenon_H2ad zenon_H2b1 zenon_H4c2 zenon_H2e7 zenon_H32e zenon_H30e zenon_H13 zenon_H245 zenon_H23b zenon_H236 zenon_H21a zenon_H20c zenon_H1be zenon_H1b1 zenon_H1de zenon_H1cc zenon_H1d8 zenon_H1da zenon_H1e8 zenon_H1ed zenon_H1f4 zenon_H1f7 zenon_H1fa zenon_H1fd zenon_H204 zenon_H206 zenon_H209 zenon_H1a9 zenon_H17 zenon_H1e zenon_H25 zenon_H1a0 zenon_H19d zenon_H246 zenon_H192 zenon_H18e zenon_H18a zenon_H16c zenon_H172 zenon_H179 zenon_H180 zenon_H186 zenon_H14b zenon_H154 zenon_H155 zenon_H15 zenon_H15a zenon_H15f.
% 55.20/55.38 apply (zenon_and_s _ _ zenon_Hb6). zenon_intro zenon_H4e. zenon_intro zenon_Hb8.
% 55.20/55.38 apply (zenon_and_s _ _ zenon_Hb8). zenon_intro zenon_Hb9. zenon_intro zenon_H2e.
% 55.20/55.38 apply (zenon_and_s _ _ zenon_H2e). zenon_intro zenon_H30. zenon_intro zenon_H2f.
% 55.20/55.38 apply (zenon_and_s _ _ zenon_H2f). zenon_intro zenon_Hbb. zenon_intro zenon_Hba.
% 55.20/55.38 apply (zenon_and_s _ _ zenon_Hba). zenon_intro zenon_Hbc. zenon_intro zenon_Haa.
% 55.20/55.38 apply (zenon_or_s _ _ zenon_H30); [ zenon_intro zenon_H31 | zenon_intro zenon_H31 ].
% 55.20/55.38 apply (zenon_L1058_); trivial.
% 55.20/55.38 apply (zenon_L1058_); trivial.
% 55.20/55.38 (* end of lemma zenon_L1059_ *)
% 55.20/55.38 assert (zenon_L1060_ : ((~((op2 (e23) (e23)) = (e21)))\/((op2 (e23) (e21)) = (e23))) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> (((op2 (e21) (e20)) = (e20))\/(((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e20)) = (e22))\/((op2 (e21) (e20)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> ((e23) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((e22) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> ((e20) = (op2 (e21) (e21))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> ((op2 (e22) (e21)) = (e22)) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e12))\/((op1 (e11) (e10)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> ((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) -> ((e12) = (op1 (op1 (op1 (e11) (e11)) (op1 (e11) (e11))) (op1 (e11) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((e10) = (e12))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e11)) = (e12))\/((op1 (e10) (e11)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (((op1 (e13) (e13)) = (e10))\/(((op1 (e13) (e13)) = (e11))\/(((op1 (e13) (e13)) = (e12))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (~((e12) = (e13))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> ((((op1 (e10) (e10)) = (e10))/\(((op1 (e10) (e10)) = (e10))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11))))/\(((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12))))/\((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))))))))\/((((op1 (e10) (e11)) = (e10))/\(((op1 (e11) (e10)) = (e10))/\(((~((op1 (e11) (e10)) = (e11)))\/(~((op1 (e11) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e11) (e12)) = (e11)))\/(~((op1 (e11) (e11)) = (e12))))/\((~((op1 (e11) (e13)) = (e11)))\/(~((op1 (e11) (e11)) = (e13)))))))))\/((((op1 (e10) (e12)) = (e10))/\(((op1 (e12) (e10)) = (e10))/\(((~((op1 (e12) (e10)) = (e12)))\/(~((op1 (e12) (e12)) = (e10))))/\(((~((op1 (e12) (e11)) = (e12)))\/(~((op1 (e12) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13)))))))))\/((((op1 (e10) (e13)) = (e10))/\(((op1 (e13) (e10)) = (e10))/\(((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e13) (e13)) = (e10))))/\(((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11))))/\(((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e13) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13)))))))))\/((((op1 (e11) (e10)) = (e11))/\(((op1 (e10) (e11)) = (e11))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11))))/\(((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12))))/\((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))))))))\/((((op1 (e11) (e11)) = (e11))/\(((op1 (e11) (e11)) = (e11))/\(((~((op1 (e11) (e10)) = (e11)))\/(~((op1 (e11) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e11) (e12)) = (e11)))\/(~((op1 (e11) (e11)) = (e12))))/\((~((op1 (e11) (e13)) = (e11)))\/(~((op1 (e11) (e11)) = (e13)))))))))\/((((op1 (e11) (e12)) = (e11))/\(((op1 (e12) (e11)) = (e11))/\(((~((op1 (e12) (e10)) = (e12)))\/(~((op1 (e12) (e12)) = (e10))))/\(((~((op1 (e12) (e11)) = (e12)))\/(~((op1 (e12) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13)))))))))\/((((op1 (e11) (e13)) = (e11))/\(((op1 (e13) (e11)) = (e11))/\(((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e13) (e13)) = (e10))))/\(((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11))))/\(((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e13) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13)))))))))\/((((op1 (e12) (e10)) = (e12))/\(((op1 (e10) (e12)) = (e12))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11))))/\(((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12))))/\((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))))))))\/((((op1 (e12) (e11)) = (e12))/\(((op1 (e11) (e12)) = (e12))/\(((~((op1 (e11) (e10)) = (e11)))\/(~((op1 (e11) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e11) (e12)) = (e11)))\/(~((op1 (e11) (e11)) = (e12))))/\((~((op1 (e11) (e13)) = (e11)))\/(~((op1 (e11) (e11)) = (e13)))))))))\/((((op1 (e12) (e12)) = (e12))/\(((op1 (e12) (e12)) = (e12))/\(((~((op1 (e12) (e10)) = (e12)))\/(~((op1 (e12) (e12)) = (e10))))/\(((~((op1 (e12) (e11)) = (e12)))\/(~((op1 (e12) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13)))))))))\/((((op1 (e12) (e13)) = (e12))/\(((op1 (e13) (e12)) = (e12))/\(((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e13) (e13)) = (e10))))/\(((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11))))/\(((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e13) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13)))))))))\/((((op1 (e13) (e10)) = (e13))/\(((op1 (e10) (e13)) = (e13))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11))))/\(((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12))))/\((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))))))))\/((((op1 (e13) (e11)) = (e13))/\(((op1 (e11) (e13)) = (e13))/\(((~((op1 (e11) (e10)) = (e11)))\/(~((op1 (e11) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e11) (e12)) = (e11)))\/(~((op1 (e11) (e11)) = (e12))))/\((~((op1 (e11) (e13)) = (e11)))\/(~((op1 (e11) (e11)) = (e13)))))))))\/((((op1 (e13) (e12)) = (e13))/\(((op1 (e12) (e13)) = (e13))/\(((~((op1 (e12) (e10)) = (e12)))\/(~((op1 (e12) (e12)) = (e10))))/\(((~((op1 (e12) (e11)) = (e12)))\/(~((op1 (e12) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13)))))))))\/(((op1 (e13) (e13)) = (e13))/\(((op1 (e13) (e13)) = (e13))/\(((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e13) (e13)) = (e10))))/\(((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11))))/\(((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e13) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13)))))))))))))))))))))))) -> ((e10) = (op1 (e11) (e11))) -> (((op2 (e22) (e22)) = (e20))\/(((op2 (e22) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e22)) = (e23))))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (~((h2 (op1 (e13) (e12))) = (op2 (h2 (e13)) (h2 (e12))))) -> ((h2 (e11)) = (e21)) -> ((h2 (e13)) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((h2 (e12)) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e23) (e22)) = (e20))\/(((op2 (e23) (e22)) = (e21))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e22)) = (e23))))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e22)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e20) (e21)) = (e23))\/(((op2 (e20) (e22)) = (e23))\/((op2 (e20) (e23)) = (e23))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e10)) = (e12))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e13) (e10)) = (e12))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (((op1 (e10) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e12) (e11)) = (e13))))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e12) (e13)) = (e10))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> ((((op1 (e10) (op1 (e10) (e10))) = (e10))/\(((op1 (e10) (op1 (e10) (e11))) = (e11))/\(((op1 (e10) (op1 (e10) (e12))) = (e12))/\(((op1 (e10) (op1 (e10) (e13))) = (e13))/\(((~((op1 (e10) (e10)) = (e10)))\/((op1 (e10) (e10)) = (e10)))/\(((~((op1 (e11) (e11)) = (e10)))\/((op1 (e11) (e10)) = (e11)))/\(((~((op1 (e12) (e12)) = (e10)))\/((op1 (e12) (e10)) = (e12)))/\((~((op1 (e13) (e13)) = (e10)))\/((op1 (e13) (e10)) = (e13))))))))))\/((((op1 (e11) (op1 (e11) (e10))) = (e10))/\(((op1 (e11) (op1 (e11) (e11))) = (e11))/\(((op1 (e11) (op1 (e11) (e12))) = (e12))/\(((op1 (e11) (op1 (e11) (e13))) = (e13))/\(((~((op1 (e10) (e10)) = (e11)))\/((op1 (e10) (e11)) = (e10)))/\(((~((op1 (e11) (e11)) = (e11)))\/((op1 (e11) (e11)) = (e11)))/\(((~((op1 (e12) (e12)) = (e11)))\/((op1 (e12) (e11)) = (e12)))/\((~((op1 (e13) (e13)) = (e11)))\/((op1 (e13) (e11)) = (e13))))))))))\/((((op1 (e12) (op1 (e12) (e10))) = (e10))/\(((op1 (e12) (op1 (e12) (e11))) = (e11))/\(((op1 (e12) (op1 (e12) (e12))) = (e12))/\(((op1 (e12) (op1 (e12) (e13))) = (e13))/\(((~((op1 (e10) (e10)) = (e12)))\/((op1 (e10) (e12)) = (e10)))/\(((~((op1 (e11) (e11)) = (e12)))\/((op1 (e11) (e12)) = (e11)))/\(((~((op1 (e12) (e12)) = (e12)))\/((op1 (e12) (e12)) = (e12)))/\((~((op1 (e13) (e13)) = (e12)))\/((op1 (e13) (e12)) = (e13))))))))))\/(((op1 (e13) (op1 (e13) (e10))) = (e10))/\(((op1 (e13) (op1 (e13) (e11))) = (e11))/\(((op1 (e13) (op1 (e13) (e12))) = (e12))/\(((op1 (e13) (op1 (e13) (e13))) = (e13))/\(((~((op1 (e10) (e10)) = (e13)))\/((op1 (e10) (e13)) = (e10)))/\(((~((op1 (e11) (e11)) = (e13)))\/((op1 (e11) (e13)) = (e11)))/\(((~((op1 (e12) (e12)) = (e13)))\/((op1 (e12) (e13)) = (e12)))/\((~((op1 (e13) (e13)) = (e13)))\/((op1 (e13) (e13)) = (e13))))))))))))) -> (((op2 (e23) (e23)) = (e20))\/(((op2 (e23) (e23)) = (e21))\/(((op2 (e23) (e23)) = (e22))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (((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))))) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> ((op2 (e21) (op2 (e21) (e23))) = (e23)) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> ((op2 (e21) (op2 (e21) (e22))) = (e22)) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> (~((e22) = (e23))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e22) (e20)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e22) (e23)) = (e23))))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e23)))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> ((((op2 (e20) (e20)) = (e20))/\(((op2 (e20) (e20)) = (e20))/\(((~((op2 (e20) (e20)) = (e20)))\/(~((op2 (e20) (e20)) = (e20))))/\(((~((op2 (e20) (e21)) = (e20)))\/(~((op2 (e20) (e20)) = (e21))))/\(((~((op2 (e20) (e22)) = (e20)))\/(~((op2 (e20) (e20)) = (e22))))/\((~((op2 (e20) (e23)) = (e20)))\/(~((op2 (e20) (e20)) = (e23)))))))))\/((((op2 (e20) (e21)) = (e20))/\(((op2 (e21) (e20)) = (e20))/\(((~((op2 (e21) (e20)) = (e21)))\/(~((op2 (e21) (e21)) = (e20))))/\(((~((op2 (e21) (e21)) = (e21)))\/(~((op2 (e21) (e21)) = (e21))))/\(((~((op2 (e21) (e22)) = (e21)))\/(~((op2 (e21) (e21)) = (e22))))/\((~((op2 (e21) (e23)) = (e21)))\/(~((op2 (e21) (e21)) = (e23)))))))))\/((((op2 (e20) (e22)) = (e20))/\(((op2 (e22) (e20)) = (e20))/\(((~((op2 (e22) (e20)) = (e22)))\/(~((op2 (e22) (e22)) = (e20))))/\(((~((op2 (e22) (e21)) = (e22)))\/(~((op2 (e22) (e22)) = (e21))))/\(((~((op2 (e22) (e22)) = (e22)))\/(~((op2 (e22) (e22)) = (e22))))/\((~((op2 (e22) (e23)) = (e22)))\/(~((op2 (e22) (e22)) = (e23)))))))))\/((((op2 (e20) (e23)) = (e20))/\(((op2 (e23) (e20)) = (e20))/\(((~((op2 (e23) (e20)) = (e23)))\/(~((op2 (e23) (e23)) = (e20))))/\(((~((op2 (e23) (e21)) = (e23)))\/(~((op2 (e23) (e23)) = (e21))))/\(((~((op2 (e23) (e22)) = (e23)))\/(~((op2 (e23) (e23)) = (e22))))/\((~((op2 (e23) (e23)) = (e23)))\/(~((op2 (e23) (e23)) = (e23)))))))))\/((((op2 (e21) (e20)) = (e21))/\(((op2 (e20) (e21)) = (e21))/\(((~((op2 (e20) (e20)) = (e20)))\/(~((op2 (e20) (e20)) = (e20))))/\(((~((op2 (e20) (e21)) = (e20)))\/(~((op2 (e20) (e20)) = (e21))))/\(((~((op2 (e20) (e22)) = (e20)))\/(~((op2 (e20) (e20)) = (e22))))/\((~((op2 (e20) (e23)) = (e20)))\/(~((op2 (e20) (e20)) = (e23)))))))))\/((((op2 (e21) (e21)) = (e21))/\(((op2 (e21) (e21)) = (e21))/\(((~((op2 (e21) (e20)) = (e21)))\/(~((op2 (e21) (e21)) = (e20))))/\(((~((op2 (e21) (e21)) = (e21)))\/(~((op2 (e21) (e21)) = (e21))))/\(((~((op2 (e21) (e22)) = (e21)))\/(~((op2 (e21) (e21)) = (e22))))/\((~((op2 (e21) (e23)) = (e21)))\/(~((op2 (e21) (e21)) = (e23)))))))))\/((((op2 (e21) (e22)) = (e21))/\(((op2 (e22) (e21)) = (e21))/\(((~((op2 (e22) (e20)) = (e22)))\/(~((op2 (e22) (e22)) = (e20))))/\(((~((op2 (e22) (e21)) = (e22)))\/(~((op2 (e22) (e22)) = (e21))))/\(((~((op2 (e22) (e22)) = (e22)))\/(~((op2 (e22) (e22)) = (e22))))/\((~((op2 (e22) (e23)) = (e22)))\/(~((op2 (e22) (e22)) = (e23)))))))))\/((((op2 (e21) (e23)) = (e21))/\(((op2 (e23) (e21)) = (e21))/\(((~((op2 (e23) (e20)) = (e23)))\/(~((op2 (e23) (e23)) = (e20))))/\(((~((op2 (e23) (e21)) = (e23)))\/(~((op2 (e23) (e23)) = (e21))))/\(((~((op2 (e23) (e22)) = (e23)))\/(~((op2 (e23) (e23)) = (e22))))/\((~((op2 (e23) (e23)) = (e23)))\/(~((op2 (e23) (e23)) = (e23)))))))))\/((((op2 (e22) (e20)) = (e22))/\(((op2 (e20) (e22)) = (e22))/\(((~((op2 (e20) (e20)) = (e20)))\/(~((op2 (e20) (e20)) = (e20))))/\(((~((op2 (e20) (e21)) = (e20)))\/(~((op2 (e20) (e20)) = (e21))))/\(((~((op2 (e20) (e22)) = (e20)))\/(~((op2 (e20) (e20)) = (e22))))/\((~((op2 (e20) (e23)) = (e20)))\/(~((op2 (e20) (e20)) = (e23)))))))))\/((((op2 (e22) (e21)) = (e22))/\(((op2 (e21) (e22)) = (e22))/\(((~((op2 (e21) (e20)) = (e21)))\/(~((op2 (e21) (e21)) = (e20))))/\(((~((op2 (e21) (e21)) = (e21)))\/(~((op2 (e21) (e21)) = (e21))))/\(((~((op2 (e21) (e22)) = (e21)))\/(~((op2 (e21) (e21)) = (e22))))/\((~((op2 (e21) (e23)) = (e21)))\/(~((op2 (e21) (e21)) = (e23)))))))))\/((((op2 (e22) (e22)) = (e22))/\(((op2 (e22) (e22)) = (e22))/\(((~((op2 (e22) (e20)) = (e22)))\/(~((op2 (e22) (e22)) = (e20))))/\(((~((op2 (e22) (e21)) = (e22)))\/(~((op2 (e22) (e22)) = (e21))))/\(((~((op2 (e22) (e22)) = (e22)))\/(~((op2 (e22) (e22)) = (e22))))/\((~((op2 (e22) (e23)) = (e22)))\/(~((op2 (e22) (e22)) = (e23)))))))))\/((((op2 (e22) (e23)) = (e22))/\(((op2 (e23) (e22)) = (e22))/\(((~((op2 (e23) (e20)) = (e23)))\/(~((op2 (e23) (e23)) = (e20))))/\(((~((op2 (e23) (e21)) = (e23)))\/(~((op2 (e23) (e23)) = (e21))))/\(((~((op2 (e23) (e22)) = (e23)))\/(~((op2 (e23) (e23)) = (e22))))/\((~((op2 (e23) (e23)) = (e23)))\/(~((op2 (e23) (e23)) = (e23)))))))))\/((((op2 (e23) (e20)) = (e23))/\(((op2 (e20) (e23)) = (e23))/\(((~((op2 (e20) (e20)) = (e20)))\/(~((op2 (e20) (e20)) = (e20))))/\(((~((op2 (e20) (e21)) = (e20)))\/(~((op2 (e20) (e20)) = (e21))))/\(((~((op2 (e20) (e22)) = (e20)))\/(~((op2 (e20) (e20)) = (e22))))/\((~((op2 (e20) (e23)) = (e20)))\/(~((op2 (e20) (e20)) = (e23)))))))))\/((((op2 (e23) (e21)) = (e23))/\(((op2 (e21) (e23)) = (e23))/\(((~((op2 (e21) (e20)) = (e21)))\/(~((op2 (e21) (e21)) = (e20))))/\(((~((op2 (e21) (e21)) = (e21)))\/(~((op2 (e21) (e21)) = (e21))))/\(((~((op2 (e21) (e22)) = (e21)))\/(~((op2 (e21) (e21)) = (e22))))/\((~((op2 (e21) (e23)) = (e21)))\/(~((op2 (e21) (e21)) = (e23)))))))))\/((((op2 (e23) (e22)) = (e23))/\(((op2 (e22) (e23)) = (e23))/\(((~((op2 (e22) (e20)) = (e22)))\/(~((op2 (e22) (e22)) = (e20))))/\(((~((op2 (e22) (e21)) = (e22)))\/(~((op2 (e22) (e22)) = (e21))))/\(((~((op2 (e22) (e22)) = (e22)))\/(~((op2 (e22) (e22)) = (e22))))/\((~((op2 (e22) (e23)) = (e22)))\/(~((op2 (e22) (e22)) = (e23)))))))))\/(((op2 (e23) (e23)) = (e23))/\(((op2 (e23) (e23)) = (e23))/\(((~((op2 (e23) (e20)) = (e23)))\/(~((op2 (e23) (e23)) = (e20))))/\(((~((op2 (e23) (e21)) = (e23)))\/(~((op2 (e23) (e23)) = (e21))))/\(((~((op2 (e23) (e22)) = (e23)))\/(~((op2 (e23) (e23)) = (e22))))/\((~((op2 (e23) (e23)) = (e23)))\/(~((op2 (e23) (e23)) = (e23)))))))))))))))))))))))) -> False).
% 55.20/55.38 do 0 intro. intros zenon_H3c1 zenon_H39d zenon_H4a zenon_H45 zenon_H3b zenon_H3f zenon_H3e zenon_H33 zenon_H32 zenon_Hd3 zenon_H15f zenon_H15a zenon_H15 zenon_H155 zenon_H154 zenon_H14b zenon_H186 zenon_H180 zenon_H179 zenon_H172 zenon_H16c zenon_H18a zenon_H18e zenon_H192 zenon_H246 zenon_H19d zenon_H1a0 zenon_H25 zenon_H1e zenon_H17 zenon_H1a9 zenon_H209 zenon_H206 zenon_H204 zenon_H1fd zenon_H1fa zenon_H1f7 zenon_H1f4 zenon_H1ed zenon_H1e8 zenon_H1da zenon_H1d8 zenon_H1cc zenon_H1de zenon_H1b1 zenon_H1be zenon_H20c zenon_H21a zenon_H236 zenon_H23b zenon_H245 zenon_H13 zenon_H100 zenon_H3cb zenon_H2c9 zenon_H534 zenon_H270 zenon_H461 zenon_H44f zenon_H325 zenon_H358 zenon_H67 zenon_Hfc zenon_H3f4 zenon_H37d zenon_H93 zenon_H98 zenon_H9f zenon_Ha5 zenon_H4df zenon_H4c3 zenon_H2b9 zenon_H2c0 zenon_H2c2 zenon_H2a3 zenon_H2a5 zenon_H2ad zenon_H2b1 zenon_H30e zenon_H32b zenon_H2e7 zenon_H4c2 zenon_H32e zenon_H2fd zenon_H2fb zenon_H2f6 zenon_H2f8 zenon_H328 zenon_H322 zenon_H321 zenon_H301 zenon_H30b zenon_H313 zenon_H316 zenon_H2ea zenon_H2e2 zenon_H2e6 zenon_H2d9 zenon_H2d1 zenon_H35d zenon_H360 zenon_H345 zenon_H355 zenon_H36e zenon_H382 zenon_H6e zenon_H474 zenon_Hac zenon_H399 zenon_H394 zenon_H395 zenon_H3c2 zenon_H3a8 zenon_H481 zenon_H489 zenon_H11f zenon_Hec zenon_H116 zenon_H3f1 zenon_H8d zenon_Hc5 zenon_Hca zenon_Hb0 zenon_H38f zenon_H128.
% 55.20/55.38 apply (zenon_or_s _ _ zenon_H3c1); [ zenon_intro zenon_H383 | zenon_intro zenon_He8 ].
% 55.20/55.38 apply (zenon_or_s _ _ zenon_H128); [ zenon_intro zenon_H2b | zenon_intro zenon_H134 ].
% 55.20/55.38 apply (zenon_L5_); trivial.
% 55.20/55.38 apply (zenon_or_s _ _ zenon_H134); [ zenon_intro zenon_H4f | zenon_intro zenon_H135 ].
% 55.20/55.38 apply (zenon_L12_); trivial.
% 55.20/55.38 apply (zenon_or_s _ _ zenon_H135); [ zenon_intro zenon_H77 | zenon_intro zenon_H136 ].
% 55.20/55.38 apply (zenon_L1027_); trivial.
% 55.20/55.38 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_H89 | zenon_intro zenon_H137 ].
% 55.20/55.38 apply (zenon_L316_); trivial.
% 55.20/55.38 apply (zenon_or_s _ _ zenon_H137); [ zenon_intro zenon_Hb6 | zenon_intro zenon_H138 ].
% 55.20/55.38 apply (zenon_L1059_); trivial.
% 55.20/55.38 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H139 ].
% 55.20/55.38 apply (zenon_L32_); trivial.
% 55.20/55.38 apply (zenon_or_s _ _ zenon_H139); [ zenon_intro zenon_Hc8 | zenon_intro zenon_H13a ].
% 55.20/55.38 apply (zenon_L35_); trivial.
% 55.20/55.38 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_Hcd | zenon_intro zenon_H13b ].
% 55.20/55.38 apply (zenon_L321_); trivial.
% 55.20/55.38 apply (zenon_or_s _ _ zenon_H13b); [ zenon_intro zenon_Hcf | zenon_intro zenon_H13c ].
% 55.20/55.38 apply (zenon_L38_); trivial.
% 55.20/55.38 apply (zenon_or_s _ _ zenon_H13c); [ zenon_intro zenon_Hd1 | zenon_intro zenon_H13d ].
% 55.20/55.38 apply (zenon_L39_); trivial.
% 55.20/55.38 apply (zenon_or_s _ _ zenon_H13d); [ zenon_intro zenon_Hd8 | zenon_intro zenon_H13e ].
% 55.20/55.38 apply (zenon_L41_); trivial.
% 55.20/55.38 apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_He0 | zenon_intro zenon_H13f ].
% 55.20/55.38 apply (zenon_L42_); trivial.
% 55.20/55.38 apply (zenon_or_s _ _ zenon_H13f); [ zenon_intro zenon_He3 | zenon_intro zenon_H140 ].
% 55.20/55.38 apply (zenon_L43_); trivial.
% 55.20/55.38 apply (zenon_or_s _ _ zenon_H140); [ zenon_intro zenon_He6 | zenon_intro zenon_H141 ].
% 55.20/55.38 apply (zenon_L44_); trivial.
% 55.20/55.38 apply (zenon_or_s _ _ zenon_H141); [ zenon_intro zenon_H142 | zenon_intro zenon_H108 ].
% 55.20/55.38 apply (zenon_L328_); trivial.
% 55.20/55.38 apply (zenon_L54_); trivial.
% 55.20/55.38 apply (zenon_or_s _ _ zenon_H128); [ zenon_intro zenon_H2b | zenon_intro zenon_H134 ].
% 55.20/55.38 apply (zenon_L5_); trivial.
% 55.20/55.38 apply (zenon_or_s _ _ zenon_H134); [ zenon_intro zenon_H4f | zenon_intro zenon_H135 ].
% 55.20/55.38 apply (zenon_L12_); trivial.
% 55.20/55.38 apply (zenon_or_s _ _ zenon_H135); [ zenon_intro zenon_H77 | zenon_intro zenon_H136 ].
% 55.20/55.38 apply (zenon_L1027_); trivial.
% 55.20/55.38 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_H89 | zenon_intro zenon_H137 ].
% 55.20/55.38 apply (zenon_L329_); trivial.
% 55.20/55.38 apply (zenon_or_s _ _ zenon_H137); [ zenon_intro zenon_Hb6 | zenon_intro zenon_H138 ].
% 55.20/55.38 apply (zenon_L1059_); trivial.
% 55.20/55.38 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H139 ].
% 55.20/55.38 apply (zenon_L32_); trivial.
% 55.20/55.38 apply (zenon_or_s _ _ zenon_H139); [ zenon_intro zenon_Hc8 | zenon_intro zenon_H13a ].
% 55.20/55.38 apply (zenon_L35_); trivial.
% 55.20/55.38 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_Hcd | zenon_intro zenon_H13b ].
% 55.20/55.38 apply (zenon_L331_); trivial.
% 55.20/55.38 apply (zenon_or_s _ _ zenon_H13b); [ zenon_intro zenon_Hcf | zenon_intro zenon_H13c ].
% 55.20/55.38 apply (zenon_L38_); trivial.
% 55.20/55.38 apply (zenon_or_s _ _ zenon_H13c); [ zenon_intro zenon_Hd1 | zenon_intro zenon_H13d ].
% 55.20/55.38 apply (zenon_L39_); trivial.
% 55.20/55.38 apply (zenon_or_s _ _ zenon_H13d); [ zenon_intro zenon_Hd8 | zenon_intro zenon_H13e ].
% 55.20/55.38 apply (zenon_L41_); trivial.
% 55.20/55.38 apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_He0 | zenon_intro zenon_H13f ].
% 55.20/55.38 apply (zenon_L42_); trivial.
% 55.20/55.38 apply (zenon_or_s _ _ zenon_H13f); [ zenon_intro zenon_He3 | zenon_intro zenon_H140 ].
% 55.20/55.38 apply (zenon_L43_); trivial.
% 55.20/55.38 apply (zenon_or_s _ _ zenon_H140); [ zenon_intro zenon_He6 | zenon_intro zenon_H141 ].
% 55.20/55.38 apply (zenon_L44_); trivial.
% 55.20/55.38 apply (zenon_or_s _ _ zenon_H141); [ zenon_intro zenon_H142 | zenon_intro zenon_H108 ].
% 55.20/55.38 apply (zenon_L328_); trivial.
% 55.20/55.38 apply (zenon_L54_); trivial.
% 55.20/55.38 (* end of lemma zenon_L1060_ *)
% 55.20/55.38 assert (zenon_L1061_ : (~((h2 (op1 (e13) (e13))) = (op2 (h2 (e13)) (h2 (e13))))) -> ((h2 (e10)) = (op2 (e21) (e21))) -> ((op1 (e13) (e13)) = (e10)) -> ((op2 (e23) (e23)) = (e20)) -> ((e20) = (op2 (e21) (e21))) -> ((h2 (e13)) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((e23) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> False).
% 55.20/55.38 do 0 intro. intros zenon_H53a zenon_H26c zenon_H196 zenon_H380 zenon_H33 zenon_H461 zenon_H3b.
% 55.20/55.38 cut (((h2 (e10)) = (op2 (e21) (e21))) = ((h2 (op1 (e13) (e13))) = (op2 (h2 (e13)) (h2 (e13))))).
% 55.20/55.38 intro zenon_D_pnotp.
% 55.20/55.38 apply zenon_H53a.
% 55.20/55.38 rewrite <- zenon_D_pnotp.
% 55.20/55.38 exact zenon_H26c.
% 55.20/55.38 cut (((op2 (e21) (e21)) = (op2 (h2 (e13)) (h2 (e13))))); [idtac | apply NNPP; zenon_intro zenon_H53b].
% 55.20/55.38 cut (((h2 (e10)) = (h2 (op1 (e13) (e13))))); [idtac | apply NNPP; zenon_intro zenon_H53c].
% 55.20/55.38 congruence.
% 55.20/55.38 elim (classic ((h2 (op1 (e13) (e13))) = (h2 (op1 (e13) (e13))))); [ zenon_intro zenon_H53d | zenon_intro zenon_H53e ].
% 55.20/55.38 cut (((h2 (op1 (e13) (e13))) = (h2 (op1 (e13) (e13)))) = ((h2 (e10)) = (h2 (op1 (e13) (e13))))).
% 55.20/55.38 intro zenon_D_pnotp.
% 55.20/55.38 apply zenon_H53c.
% 55.20/55.38 rewrite <- zenon_D_pnotp.
% 55.20/55.38 exact zenon_H53d.
% 55.20/55.38 cut (((h2 (op1 (e13) (e13))) = (h2 (op1 (e13) (e13))))); [idtac | apply NNPP; zenon_intro zenon_H53e].
% 55.20/55.38 cut (((h2 (op1 (e13) (e13))) = (h2 (e10)))); [idtac | apply NNPP; zenon_intro zenon_H53f].
% 55.20/55.38 congruence.
% 55.20/55.38 cut (((op1 (e13) (e13)) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H193].
% 55.20/55.38 congruence.
% 55.20/55.38 exact (zenon_H193 zenon_H196).
% 55.20/55.38 apply zenon_H53e. apply refl_equal.
% 55.20/55.38 apply zenon_H53e. apply refl_equal.
% 55.20/55.38 elim (classic ((op2 (h2 (e13)) (h2 (e13))) = (op2 (h2 (e13)) (h2 (e13))))); [ zenon_intro zenon_H540 | zenon_intro zenon_H541 ].
% 55.20/55.38 cut (((op2 (h2 (e13)) (h2 (e13))) = (op2 (h2 (e13)) (h2 (e13)))) = ((op2 (e21) (e21)) = (op2 (h2 (e13)) (h2 (e13))))).
% 55.20/55.38 intro zenon_D_pnotp.
% 55.20/55.38 apply zenon_H53b.
% 55.20/55.38 rewrite <- zenon_D_pnotp.
% 55.20/55.38 exact zenon_H540.
% 55.20/55.38 cut (((op2 (h2 (e13)) (h2 (e13))) = (op2 (h2 (e13)) (h2 (e13))))); [idtac | apply NNPP; zenon_intro zenon_H541].
% 55.20/55.38 cut (((op2 (h2 (e13)) (h2 (e13))) = (op2 (e21) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H542].
% 55.20/55.38 congruence.
% 55.20/55.38 cut (((op2 (e23) (e23)) = (e20)) = ((op2 (h2 (e13)) (h2 (e13))) = (op2 (e21) (e21)))).
% 55.20/55.38 intro zenon_D_pnotp.
% 55.20/55.38 apply zenon_H542.
% 55.20/55.38 rewrite <- zenon_D_pnotp.
% 55.20/55.38 exact zenon_H380.
% 55.20/55.38 cut (((e20) = (op2 (e21) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H45c].
% 55.20/55.38 cut (((op2 (e23) (e23)) = (op2 (h2 (e13)) (h2 (e13))))); [idtac | apply NNPP; zenon_intro zenon_H543].
% 55.20/55.38 congruence.
% 55.20/55.38 elim (classic ((op2 (h2 (e13)) (h2 (e13))) = (op2 (h2 (e13)) (h2 (e13))))); [ zenon_intro zenon_H540 | zenon_intro zenon_H541 ].
% 55.20/55.38 cut (((op2 (h2 (e13)) (h2 (e13))) = (op2 (h2 (e13)) (h2 (e13)))) = ((op2 (e23) (e23)) = (op2 (h2 (e13)) (h2 (e13))))).
% 55.20/55.38 intro zenon_D_pnotp.
% 55.20/55.38 apply zenon_H543.
% 55.20/55.38 rewrite <- zenon_D_pnotp.
% 55.20/55.38 exact zenon_H540.
% 55.20/55.38 cut (((op2 (h2 (e13)) (h2 (e13))) = (op2 (h2 (e13)) (h2 (e13))))); [idtac | apply NNPP; zenon_intro zenon_H541].
% 55.20/55.38 cut (((op2 (h2 (e13)) (h2 (e13))) = (op2 (e23) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H544].
% 55.20/55.38 congruence.
% 55.20/55.38 cut (((h2 (e13)) = (e23))); [idtac | apply NNPP; zenon_intro zenon_H460].
% 55.20/55.38 cut (((h2 (e13)) = (e23))); [idtac | apply NNPP; zenon_intro zenon_H460].
% 55.20/55.38 congruence.
% 55.20/55.38 apply (zenon_L492_); trivial.
% 55.20/55.38 apply (zenon_L492_); trivial.
% 55.20/55.38 apply zenon_H541. apply refl_equal.
% 55.20/55.38 apply zenon_H541. apply refl_equal.
% 55.20/55.38 exact (zenon_H45c zenon_H33).
% 55.20/55.38 apply zenon_H541. apply refl_equal.
% 55.20/55.38 apply zenon_H541. apply refl_equal.
% 55.20/55.38 (* end of lemma zenon_L1061_ *)
% 55.20/55.38 assert (zenon_L1062_ : (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> ((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) -> ((e12) = (op1 (op1 (op1 (e11) (e11)) (op1 (e11) (e11))) (op1 (e11) (e11)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((e10) = (e12))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> ((e10) = (op1 (e11) (e11))) -> ((op1 (e10) (e12)) = (e10)) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((h2 (op1 (e13) (e13))) = (op2 (h2 (e13)) (h2 (e13))))) -> ((h2 (e10)) = (op2 (e21) (e21))) -> ((op2 (e23) (e23)) = (e20)) -> ((e20) = (op2 (e21) (e21))) -> ((h2 (e13)) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((e23) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> False).
% 55.20/55.38 do 0 intro. intros zenon_H192 zenon_H180 zenon_H15 zenon_H155 zenon_H179 zenon_H172 zenon_H16c zenon_H186 zenon_H18a zenon_H13 zenon_H18f zenon_H18e zenon_H53a zenon_H26c zenon_H380 zenon_H33 zenon_H461 zenon_H3b.
% 55.20/55.38 apply (zenon_or_s _ _ zenon_H192); [ zenon_intro zenon_H16a | zenon_intro zenon_H194 ].
% 55.20/55.38 apply (zenon_L72_); trivial.
% 55.20/55.38 apply (zenon_or_s _ _ zenon_H194); [ zenon_intro zenon_H189 | zenon_intro zenon_H195 ].
% 55.20/55.38 apply (zenon_L73_); trivial.
% 55.20/55.38 apply (zenon_or_s _ _ zenon_H195); [ zenon_intro zenon_H190 | zenon_intro zenon_H196 ].
% 55.20/55.38 apply (zenon_L74_); trivial.
% 55.20/55.38 apply (zenon_L1061_); trivial.
% 55.20/55.38 (* end of lemma zenon_L1062_ *)
% 55.20/55.38 assert (zenon_L1063_ : (((op1 (e10) (e12)) = (e10))/\(((op1 (e12) (e10)) = (e10))/\(((~((op1 (e12) (e10)) = (e12)))\/(~((op1 (e12) (e12)) = (e10))))/\(((~((op1 (e12) (e11)) = (e12)))\/(~((op1 (e12) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13))))))))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> ((e22) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((e20) = (e22))) -> (((op2 (e23) (e20)) = (e22))\/(((op2 (e23) (e21)) = (e22))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> ((op2 (e20) (e22)) = (e20)) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> ((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) -> ((e12) = (op1 (op1 (op1 (e11) (e11)) (op1 (e11) (e11))) (op1 (e11) (e11)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((e10) = (e12))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> ((e10) = (op1 (e11) (e11))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((h2 (op1 (e13) (e13))) = (op2 (h2 (e13)) (h2 (e13))))) -> ((h2 (e10)) = (op2 (e21) (e21))) -> ((e20) = (op2 (e21) (e21))) -> ((h2 (e13)) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((e23) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> False).
% 55.20/55.39 do 0 intro. intros zenon_H197 zenon_H545 zenon_H6e zenon_H3f zenon_H67 zenon_H60 zenon_H4e2 zenon_H74 zenon_H39d zenon_H57 zenon_H3cb zenon_H192 zenon_H180 zenon_H15 zenon_H155 zenon_H179 zenon_H172 zenon_H16c zenon_H186 zenon_H18a zenon_H13 zenon_H18e zenon_H53a zenon_H26c zenon_H33 zenon_H461 zenon_H3b.
% 55.20/55.39 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_H18f. zenon_intro zenon_H198.
% 55.20/55.39 apply (zenon_or_s _ _ zenon_H545); [ zenon_intro zenon_H80 | zenon_intro zenon_H546 ].
% 55.20/55.39 apply (zenon_L736_); trivial.
% 55.20/55.39 apply (zenon_or_s _ _ zenon_H546); [ zenon_intro zenon_H3ab | zenon_intro zenon_H547 ].
% 55.20/55.39 apply (zenon_L339_); trivial.
% 55.20/55.39 apply (zenon_or_s _ _ zenon_H547); [ zenon_intro zenon_H81 | zenon_intro zenon_H380 ].
% 55.20/55.39 apply (zenon_L357_); trivial.
% 55.20/55.39 apply (zenon_L1062_); trivial.
% 55.20/55.39 (* end of lemma zenon_L1063_ *)
% 55.20/55.39 assert (zenon_L1064_ : (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((e10) = (e12))) -> ((op1 (e13) (e10)) = (e12)) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> ((e10) = (op1 (e11) (e11))) -> ((op1 (e10) (e12)) = (e10)) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((h2 (op1 (e13) (e13))) = (op2 (h2 (e13)) (h2 (e13))))) -> ((h2 (e10)) = (op2 (e21) (e21))) -> ((op2 (e23) (e23)) = (e20)) -> ((e20) = (op2 (e21) (e21))) -> ((h2 (e13)) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((e23) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> False).
% 55.20/55.39 do 0 intro. intros zenon_H192 zenon_H16c zenon_H16b zenon_H18a zenon_H13 zenon_H18f zenon_H18e zenon_H53a zenon_H26c zenon_H380 zenon_H33 zenon_H461 zenon_H3b.
% 55.20/55.39 apply (zenon_or_s _ _ zenon_H192); [ zenon_intro zenon_H16a | zenon_intro zenon_H194 ].
% 55.20/55.39 apply (zenon_L68_); trivial.
% 55.20/55.39 apply (zenon_or_s _ _ zenon_H194); [ zenon_intro zenon_H189 | zenon_intro zenon_H195 ].
% 55.20/55.39 apply (zenon_L73_); trivial.
% 55.20/55.39 apply (zenon_or_s _ _ zenon_H195); [ zenon_intro zenon_H190 | zenon_intro zenon_H196 ].
% 55.20/55.39 apply (zenon_L74_); trivial.
% 55.20/55.39 apply (zenon_L1061_); trivial.
% 55.20/55.39 (* end of lemma zenon_L1064_ *)
% 55.20/55.39 assert (zenon_L1065_ : (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (~((op1 (e10) (e10)) = (e10))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> ((e23) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((h2 (e13)) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((e20) = (op2 (e21) (e21))) -> ((op2 (e23) (e23)) = (e20)) -> ((h2 (e10)) = (op2 (e21) (e21))) -> (~((h2 (op1 (e13) (e13))) = (op2 (h2 (e13)) (h2 (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> ((e10) = (op1 (e11) (e11))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((e10) = (e12))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> ((e12) = (op1 (op1 (op1 (e11) (e11)) (op1 (e11) (e11))) (op1 (e11) (e11)))) -> ((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e10) (e10)) = (e12))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e10)) = (e12))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e13) (e10)) = (e12))))) -> (~((op1 (e10) (e13)) = (e10))) -> False).
% 55.20/55.39 do 0 intro. intros zenon_H246 zenon_H146 zenon_H19d zenon_H3b zenon_H461 zenon_H33 zenon_H380 zenon_H26c zenon_H53a zenon_H18e zenon_H13 zenon_H18a zenon_H16c zenon_H192 zenon_H21a zenon_H155 zenon_H15 zenon_H154 zenon_H4c4 zenon_H4c3 zenon_H25f.
% 55.20/55.39 apply (zenon_or_s _ _ zenon_H246); [ zenon_intro zenon_H145 | zenon_intro zenon_H260 ].
% 55.20/55.39 exact (zenon_H146 zenon_H145).
% 55.20/55.39 apply (zenon_or_s _ _ zenon_H260); [ zenon_intro zenon_H166 | zenon_intro zenon_H261 ].
% 55.20/55.39 apply (zenon_L78_); trivial.
% 55.20/55.39 apply (zenon_or_s _ _ zenon_H261); [ zenon_intro zenon_H18f | zenon_intro zenon_H19b ].
% 55.20/55.39 apply (zenon_or_s _ _ zenon_H4c3); [ zenon_intro zenon_H4c6 | zenon_intro zenon_H4c8 ].
% 55.20/55.39 exact (zenon_H4c4 zenon_H4c6).
% 55.20/55.39 apply (zenon_or_s _ _ zenon_H4c8); [ zenon_intro zenon_H156 | zenon_intro zenon_H4c9 ].
% 55.20/55.39 apply (zenon_L63_); trivial.
% 55.20/55.39 apply (zenon_or_s _ _ zenon_H4c9); [ zenon_intro zenon_H21b | zenon_intro zenon_H16b ].
% 55.20/55.39 apply (zenon_L109_); trivial.
% 55.20/55.39 apply (zenon_L1064_); trivial.
% 55.20/55.39 exact (zenon_H25f zenon_H19b).
% 55.20/55.39 (* end of lemma zenon_L1065_ *)
% 55.20/55.39 assert (zenon_L1066_ : ((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12)))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e10)) = (e12))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e13) (e10)) = (e12))))) -> (~((e10) = (e12))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((h2 (op1 (e13) (e13))) = (op2 (h2 (e13)) (h2 (e13))))) -> ((h2 (e10)) = (op2 (e21) (e21))) -> ((h2 (e13)) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> ((e12) = (op1 (op1 (op1 (e11) (e11)) (op1 (e11) (e11))) (op1 (e11) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> ((op2 (e20) (e22)) = (e20)) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> (~((e20) = (e22))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> ((e22) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> ((e23) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((e20) = (op2 (e21) (e21))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (((op2 (e23) (e20)) = (e22))\/(((op2 (e23) (e21)) = (e22))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> ((e10) = (op1 (e11) (e11))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (~((op1 (e10) (e10)) = (e10))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> ((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> ((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))) -> False).
% 55.20/55.39 do 0 intro. intros zenon_H25e zenon_H545 zenon_H4c3 zenon_H16c zenon_H18a zenon_H18e zenon_H53a zenon_H26c zenon_H461 zenon_H192 zenon_H21a zenon_H155 zenon_H154 zenon_H57 zenon_H3cb zenon_H39d zenon_H4e2 zenon_H60 zenon_H3f zenon_H3b zenon_H33 zenon_H67 zenon_H6e zenon_H74 zenon_H246 zenon_H13 zenon_H19d zenon_H146 zenon_H1a0 zenon_H25 zenon_H1e zenon_H15 zenon_H17 zenon_H25d.
% 55.20/55.39 apply (zenon_or_s _ _ zenon_H25e); [ zenon_intro zenon_H458 | zenon_intro zenon_H4c4 ].
% 55.20/55.39 apply (zenon_L629_); trivial.
% 55.20/55.39 apply (zenon_or_s _ _ zenon_H25d); [ zenon_intro zenon_H25f | zenon_intro zenon_H1a1 ].
% 55.20/55.39 apply (zenon_or_s _ _ zenon_H545); [ zenon_intro zenon_H80 | zenon_intro zenon_H546 ].
% 55.20/55.39 apply (zenon_L736_); trivial.
% 55.20/55.39 apply (zenon_or_s _ _ zenon_H546); [ zenon_intro zenon_H3ab | zenon_intro zenon_H547 ].
% 55.20/55.39 apply (zenon_L339_); trivial.
% 55.20/55.39 apply (zenon_or_s _ _ zenon_H547); [ zenon_intro zenon_H81 | zenon_intro zenon_H380 ].
% 55.20/55.39 apply (zenon_L357_); trivial.
% 55.20/55.39 apply (zenon_L1065_); trivial.
% 55.20/55.39 apply (zenon_L79_); trivial.
% 55.20/55.39 (* end of lemma zenon_L1066_ *)
% 55.20/55.39 assert (zenon_L1067_ : (((op1 (e11) (e10)) = (e11))/\(((op1 (e10) (e11)) = (e11))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11))))/\(((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12))))/\((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13))))))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> ((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> ((e10) = (op1 (e11) (e11))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (((op2 (e23) (e20)) = (e22))\/(((op2 (e23) (e21)) = (e22))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> ((e20) = (op2 (e21) (e21))) -> ((e23) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((e22) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((e20) = (e22))) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> ((op2 (e20) (e22)) = (e20)) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> ((e12) = (op1 (op1 (op1 (e11) (e11)) (op1 (e11) (e11))) (op1 (e11) (e11)))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> ((h2 (e13)) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((h2 (e10)) = (op2 (e21) (e21))) -> (~((h2 (op1 (e13) (e13))) = (op2 (h2 (e13)) (h2 (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((e10) = (e12))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e10)) = (e12))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e13) (e10)) = (e12))))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> False).
% 55.20/55.39 do 0 intro. intros zenon_H259 zenon_H17 zenon_H15 zenon_H1e zenon_H25 zenon_H1a0 zenon_H19d zenon_H13 zenon_H246 zenon_H74 zenon_H6e zenon_H67 zenon_H33 zenon_H3b zenon_H3f zenon_H60 zenon_H4e2 zenon_H39d zenon_H3cb zenon_H57 zenon_H154 zenon_H155 zenon_H21a zenon_H192 zenon_H461 zenon_H26c zenon_H53a zenon_H18e zenon_H18a zenon_H16c zenon_H4c3 zenon_H545.
% 55.20/55.39 apply (zenon_and_s _ _ zenon_H259). zenon_intro zenon_H163. zenon_intro zenon_H25a.
% 55.20/55.39 apply (zenon_and_s _ _ zenon_H25a). zenon_intro zenon_H1fe. zenon_intro zenon_H149.
% 55.20/55.39 apply (zenon_and_s _ _ zenon_H149). zenon_intro zenon_H144. zenon_intro zenon_H14a.
% 55.20/55.39 apply (zenon_and_s _ _ zenon_H14a). zenon_intro zenon_H25c. zenon_intro zenon_H25b.
% 55.20/55.39 apply (zenon_and_s _ _ zenon_H25b). zenon_intro zenon_H25e. zenon_intro zenon_H25d.
% 55.20/55.39 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_H146 | zenon_intro zenon_H146 ].
% 55.20/55.39 apply (zenon_L1066_); trivial.
% 55.20/55.39 apply (zenon_L1066_); trivial.
% 55.20/55.39 (* end of lemma zenon_L1067_ *)
% 55.20/55.39 assert (zenon_L1068_ : (((op1 (e13) (e13)) = (e10))\/(((op1 (e13) (e13)) = (e11))\/(((op1 (e13) (e13)) = (e12))\/((op1 (e13) (e13)) = (e13))))) -> ((e23) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((h2 (e13)) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((e20) = (op2 (e21) (e21))) -> ((op2 (e23) (e23)) = (e20)) -> ((h2 (e10)) = (op2 (e21) (e21))) -> (~((h2 (op1 (e13) (e13))) = (op2 (h2 (e13)) (h2 (e13))))) -> (~((op1 (e13) (e13)) = (e11))) -> (~((op1 (e13) (e13)) = (e12))) -> (~((op1 (e13) (e13)) = (e13))) -> False).
% 55.20/55.39 do 0 intro. intros zenon_H20c zenon_H3b zenon_H461 zenon_H33 zenon_H380 zenon_H26c zenon_H53a zenon_H20d zenon_H185 zenon_H1c0.
% 55.20/55.39 apply (zenon_or_s _ _ zenon_H20c); [ zenon_intro zenon_H196 | zenon_intro zenon_H20e ].
% 55.20/55.39 apply (zenon_L1061_); trivial.
% 55.20/55.39 apply (zenon_or_s _ _ zenon_H20e); [ zenon_intro zenon_H210 | zenon_intro zenon_H20f ].
% 55.20/55.39 exact (zenon_H20d zenon_H210).
% 55.20/55.39 apply (zenon_or_s _ _ zenon_H20f); [ zenon_intro zenon_H17f | zenon_intro zenon_H1c4 ].
% 55.20/55.39 exact (zenon_H185 zenon_H17f).
% 55.20/55.39 exact (zenon_H1c0 zenon_H1c4).
% 55.20/55.39 (* end of lemma zenon_L1068_ *)
% 55.20/55.39 assert (zenon_L1069_ : (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> ((e22) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((e20) = (e22))) -> (((op2 (e23) (e20)) = (e22))\/(((op2 (e23) (e21)) = (e22))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> ((op2 (e20) (e22)) = (e20)) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (((op1 (e13) (e13)) = (e10))\/(((op1 (e13) (e13)) = (e11))\/(((op1 (e13) (e13)) = (e12))\/((op1 (e13) (e13)) = (e13))))) -> ((e23) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((h2 (e13)) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((e20) = (op2 (e21) (e21))) -> ((h2 (e10)) = (op2 (e21) (e21))) -> (~((h2 (op1 (e13) (e13))) = (op2 (h2 (e13)) (h2 (e13))))) -> (~((op1 (e13) (e13)) = (e11))) -> (~((op1 (e13) (e13)) = (e12))) -> (~((op1 (e13) (e13)) = (e13))) -> False).
% 55.20/55.39 do 0 intro. intros zenon_H545 zenon_H6e zenon_H3f zenon_H67 zenon_H60 zenon_H4e2 zenon_H74 zenon_H39d zenon_H57 zenon_H3cb zenon_H20c zenon_H3b zenon_H461 zenon_H33 zenon_H26c zenon_H53a zenon_H20d zenon_H185 zenon_H1c0.
% 55.20/55.39 apply (zenon_or_s _ _ zenon_H545); [ zenon_intro zenon_H80 | zenon_intro zenon_H546 ].
% 55.20/55.39 apply (zenon_L736_); trivial.
% 55.20/55.39 apply (zenon_or_s _ _ zenon_H546); [ zenon_intro zenon_H3ab | zenon_intro zenon_H547 ].
% 55.20/55.39 apply (zenon_L339_); trivial.
% 55.20/55.39 apply (zenon_or_s _ _ zenon_H547); [ zenon_intro zenon_H81 | zenon_intro zenon_H380 ].
% 55.20/55.39 apply (zenon_L357_); trivial.
% 55.20/55.39 apply (zenon_L1068_); trivial.
% 55.20/55.39 (* end of lemma zenon_L1069_ *)
% 55.20/55.39 assert (zenon_L1070_ : ((((op1 (e10) (e10)) = (e10))/\(((op1 (e10) (e10)) = (e10))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11))))/\(((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12))))/\((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))))))))\/((((op1 (e10) (e11)) = (e10))/\(((op1 (e11) (e10)) = (e10))/\(((~((op1 (e11) (e10)) = (e11)))\/(~((op1 (e11) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e11) (e12)) = (e11)))\/(~((op1 (e11) (e11)) = (e12))))/\((~((op1 (e11) (e13)) = (e11)))\/(~((op1 (e11) (e11)) = (e13)))))))))\/((((op1 (e10) (e12)) = (e10))/\(((op1 (e12) (e10)) = (e10))/\(((~((op1 (e12) (e10)) = (e12)))\/(~((op1 (e12) (e12)) = (e10))))/\(((~((op1 (e12) (e11)) = (e12)))\/(~((op1 (e12) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13)))))))))\/((((op1 (e10) (e13)) = (e10))/\(((op1 (e13) (e10)) = (e10))/\(((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e13) (e13)) = (e10))))/\(((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11))))/\(((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e13) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13)))))))))\/((((op1 (e11) (e10)) = (e11))/\(((op1 (e10) (e11)) = (e11))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11))))/\(((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12))))/\((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))))))))\/((((op1 (e11) (e11)) = (e11))/\(((op1 (e11) (e11)) = (e11))/\(((~((op1 (e11) (e10)) = (e11)))\/(~((op1 (e11) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e11) (e12)) = (e11)))\/(~((op1 (e11) (e11)) = (e12))))/\((~((op1 (e11) (e13)) = (e11)))\/(~((op1 (e11) (e11)) = (e13)))))))))\/((((op1 (e11) (e12)) = (e11))/\(((op1 (e12) (e11)) = (e11))/\(((~((op1 (e12) (e10)) = (e12)))\/(~((op1 (e12) (e12)) = (e10))))/\(((~((op1 (e12) (e11)) = (e12)))\/(~((op1 (e12) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13)))))))))\/((((op1 (e11) (e13)) = (e11))/\(((op1 (e13) (e11)) = (e11))/\(((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e13) (e13)) = (e10))))/\(((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11))))/\(((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e13) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13)))))))))\/((((op1 (e12) (e10)) = (e12))/\(((op1 (e10) (e12)) = (e12))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11))))/\(((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12))))/\((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))))))))\/((((op1 (e12) (e11)) = (e12))/\(((op1 (e11) (e12)) = (e12))/\(((~((op1 (e11) (e10)) = (e11)))\/(~((op1 (e11) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e11) (e12)) = (e11)))\/(~((op1 (e11) (e11)) = (e12))))/\((~((op1 (e11) (e13)) = (e11)))\/(~((op1 (e11) (e11)) = (e13)))))))))\/((((op1 (e12) (e12)) = (e12))/\(((op1 (e12) (e12)) = (e12))/\(((~((op1 (e12) (e10)) = (e12)))\/(~((op1 (e12) (e12)) = (e10))))/\(((~((op1 (e12) (e11)) = (e12)))\/(~((op1 (e12) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13)))))))))\/((((op1 (e12) (e13)) = (e12))/\(((op1 (e13) (e12)) = (e12))/\(((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e13) (e13)) = (e10))))/\(((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11))))/\(((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e13) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13)))))))))\/((((op1 (e13) (e10)) = (e13))/\(((op1 (e10) (e13)) = (e13))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11))))/\(((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12))))/\((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))))))))\/((((op1 (e13) (e11)) = (e13))/\(((op1 (e11) (e13)) = (e13))/\(((~((op1 (e11) (e10)) = (e11)))\/(~((op1 (e11) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e11) (e12)) = (e11)))\/(~((op1 (e11) (e11)) = (e12))))/\((~((op1 (e11) (e13)) = (e11)))\/(~((op1 (e11) (e11)) = (e13)))))))))\/((((op1 (e13) (e12)) = (e13))/\(((op1 (e12) (e13)) = (e13))/\(((~((op1 (e12) (e10)) = (e12)))\/(~((op1 (e12) (e12)) = (e10))))/\(((~((op1 (e12) (e11)) = (e12)))\/(~((op1 (e12) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13)))))))))\/(((op1 (e13) (e13)) = (e13))/\(((op1 (e13) (e13)) = (e13))/\(((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e13) (e13)) = (e10))))/\(((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11))))/\(((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e13) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13)))))))))))))))))))))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e10)) = (e12))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e13) (e10)) = (e12))))) -> (~((e10) = (e12))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((h2 (op1 (e13) (e13))) = (op2 (h2 (e13)) (h2 (e13))))) -> ((h2 (e10)) = (op2 (e21) (e21))) -> ((h2 (e13)) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> ((op2 (e20) (e22)) = (e20)) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> (~((e20) = (e22))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> ((e22) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> ((e23) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((e20) = (op2 (e21) (e21))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (((op2 (e23) (e20)) = (e22))\/(((op2 (e23) (e21)) = (e22))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> ((op1 (e13) (e11)) = (e13)) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e12))\/((op1 (e11) (e10)) = (e13))))) -> ((e12) = (op1 (op1 (op1 (e11) (e11)) (op1 (e11) (e11))) (op1 (e11) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> ((op1 (e11) (op1 (e11) (e13))) = (e13)) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> ((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) -> ((e10) = (op1 (e11) (e11))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> False).
% 55.20/55.39 do 0 intro. intros zenon_H245 zenon_H180 zenon_H172 zenon_H186 zenon_H545 zenon_H4c3 zenon_H16c zenon_H18e zenon_H53a zenon_H26c zenon_H461 zenon_H192 zenon_H57 zenon_H3cb zenon_H39d zenon_H4e2 zenon_H60 zenon_H3f zenon_H3b zenon_H33 zenon_H67 zenon_H6e zenon_H74 zenon_H246 zenon_H19d zenon_H1a0 zenon_H1e zenon_H17 zenon_H1a9 zenon_H1c3 zenon_H18a zenon_H21a zenon_H179 zenon_H25 zenon_H15f zenon_H155 zenon_H154 zenon_H14b zenon_H29e zenon_H2c0 zenon_H1f4 zenon_H15 zenon_H13 zenon_H2b9 zenon_H15a zenon_H2c2.
% 55.20/55.39 apply (zenon_or_s _ _ zenon_H245); [ zenon_intro zenon_H147 | zenon_intro zenon_H254 ].
% 55.20/55.39 apply (zenon_L60_); trivial.
% 55.20/55.39 apply (zenon_or_s _ _ zenon_H254); [ zenon_intro zenon_H164 | zenon_intro zenon_H255 ].
% 55.20/55.39 apply (zenon_L66_); trivial.
% 55.20/55.39 apply (zenon_or_s _ _ zenon_H255); [ zenon_intro zenon_H197 | zenon_intro zenon_H256 ].
% 55.20/55.39 apply (zenon_L1063_); trivial.
% 55.20/55.39 apply (zenon_or_s _ _ zenon_H256); [ zenon_intro zenon_H199 | zenon_intro zenon_H257 ].
% 55.20/55.39 apply (zenon_L77_); trivial.
% 55.20/55.39 apply (zenon_or_s _ _ zenon_H257); [ zenon_intro zenon_H259 | zenon_intro zenon_H258 ].
% 55.20/55.39 apply (zenon_L1067_); trivial.
% 55.20/55.39 apply (zenon_or_s _ _ zenon_H258); [ zenon_intro zenon_H1a5 | zenon_intro zenon_H262 ].
% 55.20/55.39 apply (zenon_L80_); trivial.
% 55.20/55.39 apply (zenon_or_s _ _ zenon_H262); [ zenon_intro zenon_H1ae | zenon_intro zenon_H263 ].
% 55.20/55.39 apply (zenon_L83_); trivial.
% 55.20/55.39 apply (zenon_or_s _ _ zenon_H263); [ zenon_intro zenon_H212 | zenon_intro zenon_H264 ].
% 55.20/55.39 apply (zenon_L167_); trivial.
% 55.20/55.39 apply (zenon_or_s _ _ zenon_H264); [ zenon_intro zenon_H220 | zenon_intro zenon_H265 ].
% 55.20/55.39 apply (zenon_L110_); trivial.
% 55.20/55.39 apply (zenon_or_s _ _ zenon_H265); [ zenon_intro zenon_H222 | zenon_intro zenon_H266 ].
% 55.20/55.39 apply (zenon_L111_); trivial.
% 55.20/55.39 apply (zenon_or_s _ _ zenon_H266); [ zenon_intro zenon_H225 | zenon_intro zenon_H267 ].
% 55.20/55.39 apply (zenon_L113_); trivial.
% 55.20/55.39 apply (zenon_or_s _ _ zenon_H267); [ zenon_intro zenon_H22d | zenon_intro zenon_H268 ].
% 55.20/55.39 apply (zenon_L114_); trivial.
% 55.20/55.39 apply (zenon_or_s _ _ zenon_H268); [ zenon_intro zenon_H230 | zenon_intro zenon_H269 ].
% 55.20/55.39 apply (zenon_L115_); trivial.
% 55.20/55.39 apply (zenon_or_s _ _ zenon_H269); [ zenon_intro zenon_H232 | zenon_intro zenon_H26a ].
% 55.20/55.39 apply (zenon_L116_); trivial.
% 55.20/55.39 apply (zenon_or_s _ _ zenon_H26a); [ zenon_intro zenon_H240 | zenon_intro zenon_H242 ].
% 55.20/55.39 apply (zenon_L166_); trivial.
% 55.20/55.39 apply (zenon_L125_); trivial.
% 55.20/55.39 (* end of lemma zenon_L1070_ *)
% 55.20/55.39 assert (zenon_L1071_ : (((op2 (e20) (e22)) = (e20))/\(((op2 (e22) (e20)) = (e20))/\(((~((op2 (e22) (e20)) = (e22)))\/(~((op2 (e22) (e22)) = (e20))))/\(((~((op2 (e22) (e21)) = (e22)))\/(~((op2 (e22) (e22)) = (e21))))/\(((~((op2 (e22) (e22)) = (e22)))\/(~((op2 (e22) (e22)) = (e22))))/\((~((op2 (e22) (e23)) = (e22)))\/(~((op2 (e22) (e22)) = (e23))))))))) -> ((((op1 (e10) (op1 (e10) (e10))) = (e10))/\(((op1 (e10) (op1 (e10) (e11))) = (e11))/\(((op1 (e10) (op1 (e10) (e12))) = (e12))/\(((op1 (e10) (op1 (e10) (e13))) = (e13))/\(((~((op1 (e10) (e10)) = (e10)))\/((op1 (e10) (e10)) = (e10)))/\(((~((op1 (e11) (e11)) = (e10)))\/((op1 (e11) (e10)) = (e11)))/\(((~((op1 (e12) (e12)) = (e10)))\/((op1 (e12) (e10)) = (e12)))/\((~((op1 (e13) (e13)) = (e10)))\/((op1 (e13) (e10)) = (e13))))))))))\/((((op1 (e11) (op1 (e11) (e10))) = (e10))/\(((op1 (e11) (op1 (e11) (e11))) = (e11))/\(((op1 (e11) (op1 (e11) (e12))) = (e12))/\(((op1 (e11) (op1 (e11) (e13))) = (e13))/\(((~((op1 (e10) (e10)) = (e11)))\/((op1 (e10) (e11)) = (e10)))/\(((~((op1 (e11) (e11)) = (e11)))\/((op1 (e11) (e11)) = (e11)))/\(((~((op1 (e12) (e12)) = (e11)))\/((op1 (e12) (e11)) = (e12)))/\((~((op1 (e13) (e13)) = (e11)))\/((op1 (e13) (e11)) = (e13))))))))))\/((((op1 (e12) (op1 (e12) (e10))) = (e10))/\(((op1 (e12) (op1 (e12) (e11))) = (e11))/\(((op1 (e12) (op1 (e12) (e12))) = (e12))/\(((op1 (e12) (op1 (e12) (e13))) = (e13))/\(((~((op1 (e10) (e10)) = (e12)))\/((op1 (e10) (e12)) = (e10)))/\(((~((op1 (e11) (e11)) = (e12)))\/((op1 (e11) (e12)) = (e11)))/\(((~((op1 (e12) (e12)) = (e12)))\/((op1 (e12) (e12)) = (e12)))/\((~((op1 (e13) (e13)) = (e12)))\/((op1 (e13) (e12)) = (e13))))))))))\/(((op1 (e13) (op1 (e13) (e10))) = (e10))/\(((op1 (e13) (op1 (e13) (e11))) = (e11))/\(((op1 (e13) (op1 (e13) (e12))) = (e12))/\(((op1 (e13) (op1 (e13) (e13))) = (e13))/\(((~((op1 (e10) (e10)) = (e13)))\/((op1 (e10) (e13)) = (e10)))/\(((~((op1 (e11) (e11)) = (e13)))\/((op1 (e11) (e13)) = (e11)))/\(((~((op1 (e12) (e12)) = (e13)))\/((op1 (e12) (e13)) = (e12)))/\((~((op1 (e13) (e13)) = (e13)))\/((op1 (e13) (e13)) = (e13))))))))))))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e10)) = (e12))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e13) (e10)) = (e12))))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((e10) = (e12))) -> (~((h2 (op1 (e13) (e13))) = (op2 (h2 (e13)) (h2 (e13))))) -> ((h2 (e10)) = (op2 (e21) (e21))) -> ((h2 (e13)) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> (~((e20) = (e22))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> ((e22) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> ((e23) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((e20) = (op2 (e21) (e21))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (((op2 (e23) (e20)) = (e22))\/(((op2 (e23) (e21)) = (e22))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (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)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (((op1 (e10) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e12) (e11)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((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 (e11) (e11)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e12) (e13)) = (e10))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> ((((op1 (e10) (e10)) = (e10))/\(((op1 (e10) (e10)) = (e10))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11))))/\(((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12))))/\((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))))))))\/((((op1 (e10) (e11)) = (e10))/\(((op1 (e11) (e10)) = (e10))/\(((~((op1 (e11) (e10)) = (e11)))\/(~((op1 (e11) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e11) (e12)) = (e11)))\/(~((op1 (e11) (e11)) = (e12))))/\((~((op1 (e11) (e13)) = (e11)))\/(~((op1 (e11) (e11)) = (e13)))))))))\/((((op1 (e10) (e12)) = (e10))/\(((op1 (e12) (e10)) = (e10))/\(((~((op1 (e12) (e10)) = (e12)))\/(~((op1 (e12) (e12)) = (e10))))/\(((~((op1 (e12) (e11)) = (e12)))\/(~((op1 (e12) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13)))))))))\/((((op1 (e10) (e13)) = (e10))/\(((op1 (e13) (e10)) = (e10))/\(((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e13) (e13)) = (e10))))/\(((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11))))/\(((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e13) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13)))))))))\/((((op1 (e11) (e10)) = (e11))/\(((op1 (e10) (e11)) = (e11))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11))))/\(((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12))))/\((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))))))))\/((((op1 (e11) (e11)) = (e11))/\(((op1 (e11) (e11)) = (e11))/\(((~((op1 (e11) (e10)) = (e11)))\/(~((op1 (e11) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e11) (e12)) = (e11)))\/(~((op1 (e11) (e11)) = (e12))))/\((~((op1 (e11) (e13)) = (e11)))\/(~((op1 (e11) (e11)) = (e13)))))))))\/((((op1 (e11) (e12)) = (e11))/\(((op1 (e12) (e11)) = (e11))/\(((~((op1 (e12) (e10)) = (e12)))\/(~((op1 (e12) (e12)) = (e10))))/\(((~((op1 (e12) (e11)) = (e12)))\/(~((op1 (e12) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13)))))))))\/((((op1 (e11) (e13)) = (e11))/\(((op1 (e13) (e11)) = (e11))/\(((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e13) (e13)) = (e10))))/\(((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11))))/\(((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e13) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13)))))))))\/((((op1 (e12) (e10)) = (e12))/\(((op1 (e10) (e12)) = (e12))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11))))/\(((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12))))/\((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))))))))\/((((op1 (e12) (e11)) = (e12))/\(((op1 (e11) (e12)) = (e12))/\(((~((op1 (e11) (e10)) = (e11)))\/(~((op1 (e11) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e11) (e12)) = (e11)))\/(~((op1 (e11) (e11)) = (e12))))/\((~((op1 (e11) (e13)) = (e11)))\/(~((op1 (e11) (e11)) = (e13)))))))))\/((((op1 (e12) (e12)) = (e12))/\(((op1 (e12) (e12)) = (e12))/\(((~((op1 (e12) (e10)) = (e12)))\/(~((op1 (e12) (e12)) = (e10))))/\(((~((op1 (e12) (e11)) = (e12)))\/(~((op1 (e12) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13)))))))))\/((((op1 (e12) (e13)) = (e12))/\(((op1 (e13) (e12)) = (e12))/\(((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e13) (e13)) = (e10))))/\(((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11))))/\(((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e13) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13)))))))))\/((((op1 (e13) (e10)) = (e13))/\(((op1 (e10) (e13)) = (e13))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11))))/\(((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12))))/\((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))))))))\/((((op1 (e13) (e11)) = (e13))/\(((op1 (e11) (e13)) = (e13))/\(((~((op1 (e11) (e10)) = (e11)))\/(~((op1 (e11) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e11) (e12)) = (e11)))\/(~((op1 (e11) (e11)) = (e12))))/\((~((op1 (e11) (e13)) = (e11)))\/(~((op1 (e11) (e11)) = (e13)))))))))\/((((op1 (e13) (e12)) = (e13))/\(((op1 (e12) (e13)) = (e13))/\(((~((op1 (e12) (e10)) = (e12)))\/(~((op1 (e12) (e12)) = (e10))))/\(((~((op1 (e12) (e11)) = (e12)))\/(~((op1 (e12) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13)))))))))\/(((op1 (e13) (e13)) = (e13))/\(((op1 (e13) (e13)) = (e13))/\(((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e13) (e13)) = (e10))))/\(((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11))))/\(((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e13) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13)))))))))))))))))))))))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((e12) = (e13))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e13)) = (e10))\/(((op1 (e13) (e13)) = (e11))\/(((op1 (e13) (e13)) = (e12))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> ((e12) = (op1 (op1 (op1 (e11) (e11)) (op1 (e11) (e11))) (op1 (e11) (e11)))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e12))\/((op1 (e11) (e10)) = (e13))))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> ((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) -> ((e10) = (op1 (e11) (e11))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> False).
% 55.20/55.39 do 0 intro. intros zenon_H77 zenon_H36e zenon_H1de zenon_H1ed zenon_H1fa zenon_H4c3 zenon_H545 zenon_H16c zenon_H53a zenon_H26c zenon_H461 zenon_H192 zenon_H3cb zenon_H39d zenon_H4e2 zenon_H60 zenon_H3f zenon_H3b zenon_H33 zenon_H67 zenon_H6e zenon_H74 zenon_H1e8 zenon_H1f7 zenon_H32b zenon_H206 zenon_H32e zenon_H1a9 zenon_H246 zenon_H2fd zenon_H2c0 zenon_H2b9 zenon_H328 zenon_H325 zenon_H322 zenon_H1f4 zenon_H2c2 zenon_H321 zenon_H301 zenon_H30b zenon_H204 zenon_H30e zenon_H316 zenon_H19d zenon_H2ea zenon_H2e2 zenon_H2a3 zenon_H2e6 zenon_H2d9 zenon_H1cc zenon_H2d1 zenon_H245 zenon_H1d8 zenon_H1da zenon_H209 zenon_H358 zenon_H2c9 zenon_H355 zenon_H1fd zenon_H2f6 zenon_H23b zenon_H2ad zenon_H236 zenon_H2e7 zenon_H21a zenon_H313 zenon_H1be zenon_H345 zenon_H20c zenon_H1b1 zenon_H186 zenon_H180 zenon_H179 zenon_H172 zenon_H18e zenon_H14b zenon_H154 zenon_H155 zenon_H15a zenon_H15f zenon_H2fb zenon_H360 zenon_H2f8 zenon_H35d zenon_H18a zenon_H17 zenon_H15 zenon_H13 zenon_H1e zenon_H25 zenon_H1a0.
% 55.20/55.39 apply (zenon_and_s _ _ zenon_H77). zenon_intro zenon_H57. zenon_intro zenon_H78.
% 55.20/55.39 apply (zenon_or_s _ _ zenon_H36e); [ zenon_intro zenon_H244 | zenon_intro zenon_H36f ].
% 55.20/55.39 apply (zenon_and_s _ _ zenon_H244). zenon_intro zenon_H248. zenon_intro zenon_H247.
% 55.20/55.39 apply (zenon_and_s _ _ zenon_H247). zenon_intro zenon_H1dd. zenon_intro zenon_H249.
% 55.20/55.39 apply (zenon_and_s _ _ zenon_H249). zenon_intro zenon_H24b. zenon_intro zenon_H24a.
% 55.20/55.39 apply (zenon_and_s _ _ zenon_H24a). zenon_intro zenon_H24d. zenon_intro zenon_H24c.
% 55.20/55.39 apply (zenon_and_s _ _ zenon_H24c). zenon_intro zenon_H24f. zenon_intro zenon_H24e.
% 55.20/55.39 apply (zenon_and_s _ _ zenon_H24e). zenon_intro zenon_H251. zenon_intro zenon_H250.
% 55.20/55.39 apply (zenon_and_s _ _ zenon_H250). zenon_intro zenon_H253. zenon_intro zenon_H252.
% 55.20/55.39 apply (zenon_or_s _ _ zenon_H251); [ zenon_intro zenon_H14 | zenon_intro zenon_H163 ].
% 55.20/55.39 apply zenon_H14. apply sym_equal. exact zenon_H13.
% 55.20/55.39 apply (zenon_or_s _ _ zenon_H253); [ zenon_intro zenon_H1db | zenon_intro zenon_H21b ].
% 55.20/55.39 apply (zenon_or_s _ _ zenon_H252); [ zenon_intro zenon_H193 | zenon_intro zenon_H1b0 ].
% 55.20/55.39 apply (zenon_or_s _ _ zenon_H245); [ zenon_intro zenon_H147 | zenon_intro zenon_H254 ].
% 55.20/55.39 apply (zenon_L60_); trivial.
% 55.20/55.39 apply (zenon_or_s _ _ zenon_H254); [ zenon_intro zenon_H164 | zenon_intro zenon_H255 ].
% 55.20/55.39 apply (zenon_L66_); trivial.
% 55.20/55.39 apply (zenon_or_s _ _ zenon_H255); [ zenon_intro zenon_H197 | zenon_intro zenon_H256 ].
% 55.20/55.39 apply (zenon_L1063_); trivial.
% 55.20/55.39 apply (zenon_or_s _ _ zenon_H256); [ zenon_intro zenon_H199 | zenon_intro zenon_H257 ].
% 55.20/55.39 apply (zenon_L77_); trivial.
% 55.20/55.39 apply (zenon_or_s _ _ zenon_H257); [ zenon_intro zenon_H259 | zenon_intro zenon_H258 ].
% 55.20/55.39 apply (zenon_L1067_); trivial.
% 55.20/55.39 apply (zenon_or_s _ _ zenon_H258); [ zenon_intro zenon_H1a5 | zenon_intro zenon_H262 ].
% 55.20/55.39 apply (zenon_L80_); trivial.
% 55.20/55.39 apply (zenon_or_s _ _ zenon_H262); [ zenon_intro zenon_H1ae | zenon_intro zenon_H263 ].
% 55.20/55.39 apply (zenon_L83_); trivial.
% 55.20/55.39 apply (zenon_or_s _ _ zenon_H263); [ zenon_intro zenon_H212 | zenon_intro zenon_H264 ].
% 55.20/55.39 apply (zenon_L108_); trivial.
% 55.20/55.39 apply (zenon_or_s _ _ zenon_H264); [ zenon_intro zenon_H220 | zenon_intro zenon_H265 ].
% 55.20/55.39 apply (zenon_L110_); trivial.
% 55.20/55.39 apply (zenon_or_s _ _ zenon_H265); [ zenon_intro zenon_H222 | zenon_intro zenon_H266 ].
% 55.20/55.39 apply (zenon_L111_); trivial.
% 55.20/55.39 apply (zenon_or_s _ _ zenon_H266); [ zenon_intro zenon_H225 | zenon_intro zenon_H267 ].
% 55.20/55.39 apply (zenon_L113_); trivial.
% 55.20/55.39 apply (zenon_or_s _ _ zenon_H267); [ zenon_intro zenon_H22d | zenon_intro zenon_H268 ].
% 55.20/55.39 apply (zenon_L114_); trivial.
% 55.20/55.39 apply (zenon_or_s _ _ zenon_H268); [ zenon_intro zenon_H230 | zenon_intro zenon_H269 ].
% 55.20/55.39 apply (zenon_L115_); trivial.
% 55.20/55.39 apply (zenon_or_s _ _ zenon_H269); [ zenon_intro zenon_H232 | zenon_intro zenon_H26a ].
% 55.20/55.39 apply (zenon_L116_); trivial.
% 55.20/55.39 apply (zenon_or_s _ _ zenon_H26a); [ zenon_intro zenon_H240 | zenon_intro zenon_H242 ].
% 55.20/55.39 apply (zenon_L123_); trivial.
% 55.20/55.39 apply (zenon_L125_); trivial.
% 55.20/55.39 apply (zenon_L84_); trivial.
% 55.20/55.39 apply (zenon_L109_); trivial.
% 55.20/55.39 apply (zenon_or_s _ _ zenon_H36f); [ zenon_intro zenon_H371 | zenon_intro zenon_H370 ].
% 55.20/55.39 apply (zenon_and_s _ _ zenon_H371). zenon_intro zenon_H292. zenon_intro zenon_H372.
% 55.20/55.39 apply (zenon_and_s _ _ zenon_H372). zenon_intro zenon_H2a6. zenon_intro zenon_H373.
% 55.20/55.39 apply (zenon_and_s _ _ zenon_H373). zenon_intro zenon_H375. zenon_intro zenon_H374.
% 55.20/55.39 apply (zenon_and_s _ _ zenon_H374). zenon_intro zenon_H29e. zenon_intro zenon_H376.
% 55.20/55.39 apply (zenon_and_s _ _ zenon_H376). zenon_intro zenon_H378. zenon_intro zenon_H377.
% 55.20/55.39 apply (zenon_and_s _ _ zenon_H377). zenon_intro zenon_H37a. zenon_intro zenon_H379.
% 55.20/55.39 apply (zenon_and_s _ _ zenon_H379). zenon_intro zenon_H37c. zenon_intro zenon_H37b.
% 55.20/55.39 apply (zenon_or_s _ _ zenon_H37b); [ zenon_intro zenon_H20d | zenon_intro zenon_H1c3 ].
% 55.20/55.39 apply (zenon_or_s _ _ zenon_H245); [ zenon_intro zenon_H147 | zenon_intro zenon_H254 ].
% 55.20/55.39 apply (zenon_L60_); trivial.
% 55.20/55.39 apply (zenon_or_s _ _ zenon_H254); [ zenon_intro zenon_H164 | zenon_intro zenon_H255 ].
% 55.20/55.39 apply (zenon_L66_); trivial.
% 55.20/55.39 apply (zenon_or_s _ _ zenon_H255); [ zenon_intro zenon_H197 | zenon_intro zenon_H256 ].
% 55.20/55.39 apply (zenon_L1063_); trivial.
% 55.20/55.39 apply (zenon_or_s _ _ zenon_H256); [ zenon_intro zenon_H199 | zenon_intro zenon_H257 ].
% 55.20/55.39 apply (zenon_L77_); trivial.
% 55.20/55.39 apply (zenon_or_s _ _ zenon_H257); [ zenon_intro zenon_H259 | zenon_intro zenon_H258 ].
% 55.20/55.39 apply (zenon_L1067_); trivial.
% 55.20/55.39 apply (zenon_or_s _ _ zenon_H258); [ zenon_intro zenon_H1a5 | zenon_intro zenon_H262 ].
% 55.20/55.39 apply (zenon_L80_); trivial.
% 55.20/55.39 apply (zenon_or_s _ _ zenon_H262); [ zenon_intro zenon_H1ae | zenon_intro zenon_H263 ].
% 55.20/55.39 apply (zenon_L83_); trivial.
% 55.20/55.39 apply (zenon_or_s _ _ zenon_H263); [ zenon_intro zenon_H212 | zenon_intro zenon_H264 ].
% 55.20/55.39 apply (zenon_and_s _ _ zenon_H212). zenon_intro zenon_H214. zenon_intro zenon_H213.
% 55.20/55.39 apply (zenon_and_s _ _ zenon_H213). zenon_intro zenon_H1ff. zenon_intro zenon_H19c.
% 55.20/55.39 apply (zenon_and_s _ _ zenon_H19c). zenon_intro zenon_H216. zenon_intro zenon_H215.
% 55.20/55.39 apply (zenon_and_s _ _ zenon_H215). zenon_intro zenon_H218. zenon_intro zenon_H217.
% 55.20/55.39 apply (zenon_and_s _ _ zenon_H217). zenon_intro zenon_H219. zenon_intro zenon_H211.
% 55.20/55.39 apply (zenon_or_s _ _ zenon_H216); [ zenon_intro zenon_H1b6 | zenon_intro zenon_H193 ].
% 55.20/55.39 apply (zenon_or_s _ _ zenon_H219); [ zenon_intro zenon_H1bd | zenon_intro zenon_H185 ].
% 55.20/55.39 apply (zenon_L151_); trivial.
% 55.20/55.39 apply (zenon_or_s _ _ zenon_H211); [ zenon_intro zenon_H1c0 | zenon_intro zenon_H1c0 ].
% 55.20/55.39 apply (zenon_L1069_); trivial.
% 55.20/55.39 apply (zenon_L1069_); trivial.
% 55.20/55.39 apply (zenon_L107_); trivial.
% 55.20/55.39 apply (zenon_or_s _ _ zenon_H264); [ zenon_intro zenon_H220 | zenon_intro zenon_H265 ].
% 55.20/55.39 apply (zenon_L110_); trivial.
% 55.20/55.39 apply (zenon_or_s _ _ zenon_H265); [ zenon_intro zenon_H222 | zenon_intro zenon_H266 ].
% 55.20/55.39 apply (zenon_L111_); trivial.
% 55.20/55.39 apply (zenon_or_s _ _ zenon_H266); [ zenon_intro zenon_H225 | zenon_intro zenon_H267 ].
% 55.20/55.39 apply (zenon_L113_); trivial.
% 55.20/55.39 apply (zenon_or_s _ _ zenon_H267); [ zenon_intro zenon_H22d | zenon_intro zenon_H268 ].
% 55.20/55.39 apply (zenon_L114_); trivial.
% 55.20/55.39 apply (zenon_or_s _ _ zenon_H268); [ zenon_intro zenon_H230 | zenon_intro zenon_H269 ].
% 55.20/55.39 apply (zenon_L115_); trivial.
% 55.20/55.39 apply (zenon_or_s _ _ zenon_H269); [ zenon_intro zenon_H232 | zenon_intro zenon_H26a ].
% 55.20/55.39 apply (zenon_L116_); trivial.
% 55.20/55.39 apply (zenon_or_s _ _ zenon_H26a); [ zenon_intro zenon_H240 | zenon_intro zenon_H242 ].
% 55.20/55.39 apply (zenon_L166_); trivial.
% 55.20/55.39 apply (zenon_L125_); trivial.
% 55.20/55.39 apply (zenon_L1070_); trivial.
% 55.20/55.39 apply (zenon_or_s _ _ zenon_H370); [ zenon_intro zenon_H335 | zenon_intro zenon_H363 ].
% 55.20/55.39 apply (zenon_L260_); trivial.
% 55.20/55.39 apply (zenon_L307_); trivial.
% 55.20/55.39 (* end of lemma zenon_L1071_ *)
% 55.20/55.39 assert (zenon_L1072_ : (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((e20) = (e22))) -> ((op2 (e23) (e20)) = (e22)) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> ((op2 (e20) (e22)) = (e20)) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> ((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) -> ((e12) = (op1 (op1 (op1 (e11) (e11)) (op1 (e11) (e11))) (op1 (e11) (e11)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((e10) = (e12))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> ((e10) = (op1 (e11) (e11))) -> ((op1 (e10) (e12)) = (e10)) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((h2 (op1 (e13) (e13))) = (op2 (h2 (e13)) (h2 (e13))))) -> ((h2 (e10)) = (op2 (e21) (e21))) -> ((e20) = (op2 (e21) (e21))) -> ((h2 (e13)) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((e23) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> False).
% 55.20/55.39 do 0 intro. intros zenon_H545 zenon_H4e2 zenon_H58 zenon_H39d zenon_H57 zenon_H3cb zenon_H192 zenon_H180 zenon_H15 zenon_H155 zenon_H179 zenon_H172 zenon_H16c zenon_H186 zenon_H18a zenon_H13 zenon_H18f zenon_H18e zenon_H53a zenon_H26c zenon_H33 zenon_H461 zenon_H3b.
% 55.20/55.39 apply (zenon_or_s _ _ zenon_H545); [ zenon_intro zenon_H80 | zenon_intro zenon_H546 ].
% 55.20/55.39 apply (zenon_L735_); trivial.
% 55.20/55.39 apply (zenon_or_s _ _ zenon_H546); [ zenon_intro zenon_H3ab | zenon_intro zenon_H547 ].
% 55.20/55.39 apply (zenon_L339_); trivial.
% 55.20/55.39 apply (zenon_or_s _ _ zenon_H547); [ zenon_intro zenon_H81 | zenon_intro zenon_H380 ].
% 55.20/55.39 apply (zenon_L357_); trivial.
% 55.20/55.39 apply (zenon_L1062_); trivial.
% 55.20/55.39 (* end of lemma zenon_L1072_ *)
% 55.20/55.39 assert (zenon_L1073_ : (((op1 (e10) (e12)) = (e10))/\(((op1 (e12) (e10)) = (e10))/\(((~((op1 (e12) (e10)) = (e12)))\/(~((op1 (e12) (e12)) = (e10))))/\(((~((op1 (e12) (e11)) = (e12)))\/(~((op1 (e12) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13))))))))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e20) (e21)) = (e20))\/(((op2 (e20) (e22)) = (e20))\/((op2 (e20) (e23)) = (e20))))) -> (~((op2 (e20) (e20)) = (e20))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> ((e23) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((h2 (e13)) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((e20) = (op2 (e21) (e21))) -> ((h2 (e10)) = (op2 (e21) (e21))) -> (~((h2 (op1 (e13) (e13))) = (op2 (h2 (e13)) (h2 (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> ((e10) = (op1 (e11) (e11))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((e10) = (e12))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> ((e12) = (op1 (op1 (op1 (e11) (e11)) (op1 (e11) (e11))) (op1 (e11) (e11)))) -> ((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> (~((e20) = (e22))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> ((e22) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e20) (e20)) = (e22))) -> (((op2 (e20) (e20)) = (e22))\/(((op2 (e21) (e20)) = (e22))\/(((op2 (e22) (e20)) = (e22))\/((op2 (e23) (e20)) = (e22))))) -> (~((op2 (e20) (e23)) = (e20))) -> False).
% 55.20/55.39 do 0 intro. intros zenon_H197 zenon_Hac zenon_H31 zenon_H8d zenon_H3b zenon_H461 zenon_H33 zenon_H26c zenon_H53a zenon_H18e zenon_H13 zenon_H18a zenon_H186 zenon_H16c zenon_H172 zenon_H179 zenon_H155 zenon_H15 zenon_H180 zenon_H192 zenon_H3cb zenon_H39d zenon_H4e2 zenon_H545 zenon_Hb0 zenon_H3f zenon_H3e zenon_Hbd zenon_Hb7 zenon_Had.
% 55.20/55.39 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_H18f. zenon_intro zenon_H198.
% 55.20/55.39 apply (zenon_or_s _ _ zenon_Hac); [ zenon_intro zenon_H2d | zenon_intro zenon_Hae ].
% 55.20/55.39 exact (zenon_H31 zenon_H2d).
% 55.20/55.39 apply (zenon_or_s _ _ zenon_Hae); [ zenon_intro zenon_H51 | zenon_intro zenon_Haf ].
% 55.20/55.39 apply (zenon_L24_); trivial.
% 55.20/55.39 apply (zenon_or_s _ _ zenon_Haf); [ zenon_intro zenon_H57 | zenon_intro zenon_H8b ].
% 55.20/55.39 apply (zenon_or_s _ _ zenon_Hb7); [ zenon_intro zenon_Hbf | zenon_intro zenon_Hbe ].
% 55.20/55.39 exact (zenon_Hbd zenon_Hbf).
% 55.20/55.39 apply (zenon_or_s _ _ zenon_Hbe); [ zenon_intro zenon_H40 | zenon_intro zenon_Hc0 ].
% 55.20/55.39 apply (zenon_L8_); trivial.
% 55.20/55.39 apply (zenon_or_s _ _ zenon_Hc0); [ zenon_intro zenon_Hb1 | zenon_intro zenon_H58 ].
% 55.20/55.39 apply (zenon_L30_); trivial.
% 55.20/55.39 apply (zenon_L1072_); trivial.
% 55.20/55.39 exact (zenon_Had zenon_H8b).
% 55.20/55.39 (* end of lemma zenon_L1073_ *)
% 55.20/55.39 assert (zenon_L1074_ : (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((e20) = (e22))) -> ((op2 (e23) (e20)) = (e22)) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> ((op2 (e20) (e22)) = (e20)) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (~((op1 (e10) (e10)) = (e10))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> ((e23) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((h2 (e13)) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((e20) = (op2 (e21) (e21))) -> ((h2 (e10)) = (op2 (e21) (e21))) -> (~((h2 (op1 (e13) (e13))) = (op2 (h2 (e13)) (h2 (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> ((e10) = (op1 (e11) (e11))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((e10) = (e12))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> ((e12) = (op1 (op1 (op1 (e11) (e11)) (op1 (e11) (e11))) (op1 (e11) (e11)))) -> ((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e10) (e10)) = (e12))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e10)) = (e12))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e13) (e10)) = (e12))))) -> (~((op1 (e10) (e13)) = (e10))) -> False).
% 55.20/55.39 do 0 intro. intros zenon_H545 zenon_H4e2 zenon_H58 zenon_H39d zenon_H57 zenon_H3cb zenon_H246 zenon_H146 zenon_H19d zenon_H3b zenon_H461 zenon_H33 zenon_H26c zenon_H53a zenon_H18e zenon_H13 zenon_H18a zenon_H16c zenon_H192 zenon_H21a zenon_H155 zenon_H15 zenon_H154 zenon_H4c4 zenon_H4c3 zenon_H25f.
% 55.20/55.39 apply (zenon_or_s _ _ zenon_H545); [ zenon_intro zenon_H80 | zenon_intro zenon_H546 ].
% 55.20/55.39 apply (zenon_L735_); trivial.
% 55.20/55.39 apply (zenon_or_s _ _ zenon_H546); [ zenon_intro zenon_H3ab | zenon_intro zenon_H547 ].
% 55.20/55.39 apply (zenon_L339_); trivial.
% 55.20/55.39 apply (zenon_or_s _ _ zenon_H547); [ zenon_intro zenon_H81 | zenon_intro zenon_H380 ].
% 55.20/55.39 apply (zenon_L357_); trivial.
% 55.20/55.39 apply (zenon_L1065_); trivial.
% 55.20/55.39 (* end of lemma zenon_L1074_ *)
% 55.20/55.39 assert (zenon_L1075_ : ((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12)))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e20) (e21)) = (e20))\/(((op2 (e20) (e22)) = (e20))\/((op2 (e20) (e23)) = (e20))))) -> (~((op2 (e20) (e23)) = (e20))) -> (~((op2 (e20) (e20)) = (e22))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> ((e22) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> ((e23) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e10)) = (e12))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e13) (e10)) = (e12))))) -> (~((e10) = (e12))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((h2 (op1 (e13) (e13))) = (op2 (h2 (e13)) (h2 (e13))))) -> ((h2 (e10)) = (op2 (e21) (e21))) -> ((h2 (e13)) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> ((e12) = (op1 (op1 (op1 (e11) (e11)) (op1 (e11) (e11))) (op1 (e11) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> (~((e20) = (e22))) -> (((op2 (e20) (e20)) = (e22))\/(((op2 (e21) (e20)) = (e22))\/(((op2 (e22) (e20)) = (e22))\/((op2 (e23) (e20)) = (e22))))) -> ((e20) = (op2 (e21) (e21))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> (~((op2 (e20) (e20)) = (e20))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> ((e10) = (op1 (e11) (e11))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (~((op1 (e10) (e10)) = (e10))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> ((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> ((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))) -> False).
% 55.20/55.39 do 0 intro. intros zenon_H25e zenon_Hac zenon_Had zenon_Hbd zenon_H3e zenon_H3f zenon_H3b zenon_Hb0 zenon_H545 zenon_H4c3 zenon_H16c zenon_H18a zenon_H18e zenon_H53a zenon_H26c zenon_H461 zenon_H192 zenon_H21a zenon_H155 zenon_H154 zenon_H3cb zenon_H39d zenon_H4e2 zenon_Hb7 zenon_H33 zenon_H8d zenon_H31 zenon_H246 zenon_H13 zenon_H19d zenon_H146 zenon_H1a0 zenon_H25 zenon_H1e zenon_H15 zenon_H17 zenon_H25d.
% 55.20/55.39 apply (zenon_or_s _ _ zenon_H25e); [ zenon_intro zenon_H458 | zenon_intro zenon_H4c4 ].
% 55.20/55.39 apply (zenon_L629_); trivial.
% 55.20/55.39 apply (zenon_or_s _ _ zenon_H25d); [ zenon_intro zenon_H25f | zenon_intro zenon_H1a1 ].
% 55.20/55.39 apply (zenon_or_s _ _ zenon_Hac); [ zenon_intro zenon_H2d | zenon_intro zenon_Hae ].
% 55.20/55.39 exact (zenon_H31 zenon_H2d).
% 55.20/55.39 apply (zenon_or_s _ _ zenon_Hae); [ zenon_intro zenon_H51 | zenon_intro zenon_Haf ].
% 55.20/55.39 apply (zenon_L24_); trivial.
% 55.20/55.39 apply (zenon_or_s _ _ zenon_Haf); [ zenon_intro zenon_H57 | zenon_intro zenon_H8b ].
% 55.20/55.39 apply (zenon_or_s _ _ zenon_Hb7); [ zenon_intro zenon_Hbf | zenon_intro zenon_Hbe ].
% 55.20/55.39 exact (zenon_Hbd zenon_Hbf).
% 55.20/55.39 apply (zenon_or_s _ _ zenon_Hbe); [ zenon_intro zenon_H40 | zenon_intro zenon_Hc0 ].
% 55.20/55.39 apply (zenon_L8_); trivial.
% 55.20/55.39 apply (zenon_or_s _ _ zenon_Hc0); [ zenon_intro zenon_Hb1 | zenon_intro zenon_H58 ].
% 55.20/55.39 apply (zenon_L30_); trivial.
% 55.20/55.39 apply (zenon_L1074_); trivial.
% 55.20/55.39 exact (zenon_Had zenon_H8b).
% 55.20/55.39 apply (zenon_L79_); trivial.
% 55.20/55.39 (* end of lemma zenon_L1075_ *)
% 55.20/55.39 assert (zenon_L1076_ : (((op1 (e11) (e10)) = (e11))/\(((op1 (e10) (e11)) = (e11))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11))))/\(((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12))))/\((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13))))))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> ((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> ((e10) = (op1 (e11) (e11))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (~((op2 (e20) (e20)) = (e20))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> ((e20) = (op2 (e21) (e21))) -> (((op2 (e20) (e20)) = (e22))\/(((op2 (e21) (e20)) = (e22))\/(((op2 (e22) (e20)) = (e22))\/((op2 (e23) (e20)) = (e22))))) -> (~((e20) = (e22))) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> ((e12) = (op1 (op1 (op1 (e11) (e11)) (op1 (e11) (e11))) (op1 (e11) (e11)))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> ((h2 (e13)) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((h2 (e10)) = (op2 (e21) (e21))) -> (~((h2 (op1 (e13) (e13))) = (op2 (h2 (e13)) (h2 (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((e10) = (e12))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e10)) = (e12))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e13) (e10)) = (e12))))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> ((e23) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((e22) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e20) (e20)) = (e22))) -> (~((op2 (e20) (e23)) = (e20))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e20) (e21)) = (e20))\/(((op2 (e20) (e22)) = (e20))\/((op2 (e20) (e23)) = (e20))))) -> False).
% 55.20/55.39 do 0 intro. intros zenon_H259 zenon_H17 zenon_H15 zenon_H1e zenon_H25 zenon_H1a0 zenon_H19d zenon_H13 zenon_H246 zenon_H31 zenon_H8d zenon_H33 zenon_Hb7 zenon_H4e2 zenon_H39d zenon_H3cb zenon_H154 zenon_H155 zenon_H21a zenon_H192 zenon_H461 zenon_H26c zenon_H53a zenon_H18e zenon_H18a zenon_H16c zenon_H4c3 zenon_H545 zenon_Hb0 zenon_H3b zenon_H3f zenon_H3e zenon_Hbd zenon_Had zenon_Hac.
% 55.20/55.39 apply (zenon_and_s _ _ zenon_H259). zenon_intro zenon_H163. zenon_intro zenon_H25a.
% 55.20/55.39 apply (zenon_and_s _ _ zenon_H25a). zenon_intro zenon_H1fe. zenon_intro zenon_H149.
% 55.20/55.39 apply (zenon_and_s _ _ zenon_H149). zenon_intro zenon_H144. zenon_intro zenon_H14a.
% 55.20/55.39 apply (zenon_and_s _ _ zenon_H14a). zenon_intro zenon_H25c. zenon_intro zenon_H25b.
% 55.20/55.39 apply (zenon_and_s _ _ zenon_H25b). zenon_intro zenon_H25e. zenon_intro zenon_H25d.
% 55.20/55.39 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_H146 | zenon_intro zenon_H146 ].
% 55.20/55.39 apply (zenon_L1075_); trivial.
% 55.20/55.39 apply (zenon_L1075_); trivial.
% 55.20/55.39 (* end of lemma zenon_L1076_ *)
% 55.20/55.39 assert (zenon_L1077_ : (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((e20) = (e22))) -> ((op2 (e23) (e20)) = (e22)) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> ((op2 (e20) (e22)) = (e20)) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (((op1 (e13) (e13)) = (e10))\/(((op1 (e13) (e13)) = (e11))\/(((op1 (e13) (e13)) = (e12))\/((op1 (e13) (e13)) = (e13))))) -> ((e23) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((h2 (e13)) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((e20) = (op2 (e21) (e21))) -> ((h2 (e10)) = (op2 (e21) (e21))) -> (~((h2 (op1 (e13) (e13))) = (op2 (h2 (e13)) (h2 (e13))))) -> (~((op1 (e13) (e13)) = (e11))) -> (~((op1 (e13) (e13)) = (e12))) -> (~((op1 (e13) (e13)) = (e13))) -> False).
% 55.30/55.39 do 0 intro. intros zenon_H545 zenon_H4e2 zenon_H58 zenon_H39d zenon_H57 zenon_H3cb zenon_H20c zenon_H3b zenon_H461 zenon_H33 zenon_H26c zenon_H53a zenon_H20d zenon_H185 zenon_H1c0.
% 55.30/55.39 apply (zenon_or_s _ _ zenon_H545); [ zenon_intro zenon_H80 | zenon_intro zenon_H546 ].
% 55.30/55.39 apply (zenon_L735_); trivial.
% 55.30/55.39 apply (zenon_or_s _ _ zenon_H546); [ zenon_intro zenon_H3ab | zenon_intro zenon_H547 ].
% 55.30/55.39 apply (zenon_L339_); trivial.
% 55.30/55.39 apply (zenon_or_s _ _ zenon_H547); [ zenon_intro zenon_H81 | zenon_intro zenon_H380 ].
% 55.30/55.39 apply (zenon_L357_); trivial.
% 55.30/55.39 apply (zenon_L1068_); trivial.
% 55.30/55.39 (* end of lemma zenon_L1077_ *)
% 55.30/55.39 assert (zenon_L1078_ : (((op2 (e20) (e20)) = (e20))\/(((op2 (e20) (e21)) = (e20))\/(((op2 (e20) (e22)) = (e20))\/((op2 (e20) (e23)) = (e20))))) -> (~((op2 (e20) (e20)) = (e20))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> (~((op1 (e13) (e13)) = (e13))) -> (~((op1 (e13) (e13)) = (e12))) -> (~((op1 (e13) (e13)) = (e11))) -> (~((h2 (op1 (e13) (e13))) = (op2 (h2 (e13)) (h2 (e13))))) -> ((h2 (e10)) = (op2 (e21) (e21))) -> ((e20) = (op2 (e21) (e21))) -> ((h2 (e13)) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((e23) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> (((op1 (e13) (e13)) = (e10))\/(((op1 (e13) (e13)) = (e11))\/(((op1 (e13) (e13)) = (e12))\/((op1 (e13) (e13)) = (e13))))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> (~((e20) = (e22))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> ((e22) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e20) (e20)) = (e22))) -> (((op2 (e20) (e20)) = (e22))\/(((op2 (e21) (e20)) = (e22))\/(((op2 (e22) (e20)) = (e22))\/((op2 (e23) (e20)) = (e22))))) -> (~((op2 (e20) (e23)) = (e20))) -> False).
% 55.30/55.39 do 0 intro. intros zenon_Hac zenon_H31 zenon_H8d zenon_H1c0 zenon_H185 zenon_H20d zenon_H53a zenon_H26c zenon_H33 zenon_H461 zenon_H3b zenon_H20c zenon_H3cb zenon_H39d zenon_H4e2 zenon_H545 zenon_Hb0 zenon_H3f zenon_H3e zenon_Hbd zenon_Hb7 zenon_Had.
% 55.30/55.39 apply (zenon_or_s _ _ zenon_Hac); [ zenon_intro zenon_H2d | zenon_intro zenon_Hae ].
% 55.30/55.39 exact (zenon_H31 zenon_H2d).
% 55.30/55.39 apply (zenon_or_s _ _ zenon_Hae); [ zenon_intro zenon_H51 | zenon_intro zenon_Haf ].
% 55.30/55.39 apply (zenon_L24_); trivial.
% 55.30/55.39 apply (zenon_or_s _ _ zenon_Haf); [ zenon_intro zenon_H57 | zenon_intro zenon_H8b ].
% 55.30/55.39 apply (zenon_or_s _ _ zenon_Hb7); [ zenon_intro zenon_Hbf | zenon_intro zenon_Hbe ].
% 55.30/55.39 exact (zenon_Hbd zenon_Hbf).
% 55.30/55.39 apply (zenon_or_s _ _ zenon_Hbe); [ zenon_intro zenon_H40 | zenon_intro zenon_Hc0 ].
% 55.30/55.39 apply (zenon_L8_); trivial.
% 55.30/55.39 apply (zenon_or_s _ _ zenon_Hc0); [ zenon_intro zenon_Hb1 | zenon_intro zenon_H58 ].
% 55.30/55.39 apply (zenon_L30_); trivial.
% 55.30/55.39 apply (zenon_L1077_); trivial.
% 55.30/55.39 exact (zenon_Had zenon_H8b).
% 55.30/55.39 (* end of lemma zenon_L1078_ *)
% 55.30/55.39 assert (zenon_L1079_ : ((((op1 (e10) (e10)) = (e10))/\(((op1 (e10) (e10)) = (e10))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11))))/\(((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12))))/\((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))))))))\/((((op1 (e10) (e11)) = (e10))/\(((op1 (e11) (e10)) = (e10))/\(((~((op1 (e11) (e10)) = (e11)))\/(~((op1 (e11) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e11) (e12)) = (e11)))\/(~((op1 (e11) (e11)) = (e12))))/\((~((op1 (e11) (e13)) = (e11)))\/(~((op1 (e11) (e11)) = (e13)))))))))\/((((op1 (e10) (e12)) = (e10))/\(((op1 (e12) (e10)) = (e10))/\(((~((op1 (e12) (e10)) = (e12)))\/(~((op1 (e12) (e12)) = (e10))))/\(((~((op1 (e12) (e11)) = (e12)))\/(~((op1 (e12) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13)))))))))\/((((op1 (e10) (e13)) = (e10))/\(((op1 (e13) (e10)) = (e10))/\(((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e13) (e13)) = (e10))))/\(((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11))))/\(((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e13) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13)))))))))\/((((op1 (e11) (e10)) = (e11))/\(((op1 (e10) (e11)) = (e11))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11))))/\(((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12))))/\((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))))))))\/((((op1 (e11) (e11)) = (e11))/\(((op1 (e11) (e11)) = (e11))/\(((~((op1 (e11) (e10)) = (e11)))\/(~((op1 (e11) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e11) (e12)) = (e11)))\/(~((op1 (e11) (e11)) = (e12))))/\((~((op1 (e11) (e13)) = (e11)))\/(~((op1 (e11) (e11)) = (e13)))))))))\/((((op1 (e11) (e12)) = (e11))/\(((op1 (e12) (e11)) = (e11))/\(((~((op1 (e12) (e10)) = (e12)))\/(~((op1 (e12) (e12)) = (e10))))/\(((~((op1 (e12) (e11)) = (e12)))\/(~((op1 (e12) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13)))))))))\/((((op1 (e11) (e13)) = (e11))/\(((op1 (e13) (e11)) = (e11))/\(((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e13) (e13)) = (e10))))/\(((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11))))/\(((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e13) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13)))))))))\/((((op1 (e12) (e10)) = (e12))/\(((op1 (e10) (e12)) = (e12))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11))))/\(((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12))))/\((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))))))))\/((((op1 (e12) (e11)) = (e12))/\(((op1 (e11) (e12)) = (e12))/\(((~((op1 (e11) (e10)) = (e11)))\/(~((op1 (e11) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e11) (e12)) = (e11)))\/(~((op1 (e11) (e11)) = (e12))))/\((~((op1 (e11) (e13)) = (e11)))\/(~((op1 (e11) (e11)) = (e13)))))))))\/((((op1 (e12) (e12)) = (e12))/\(((op1 (e12) (e12)) = (e12))/\(((~((op1 (e12) (e10)) = (e12)))\/(~((op1 (e12) (e12)) = (e10))))/\(((~((op1 (e12) (e11)) = (e12)))\/(~((op1 (e12) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13)))))))))\/((((op1 (e12) (e13)) = (e12))/\(((op1 (e13) (e12)) = (e12))/\(((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e13) (e13)) = (e10))))/\(((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11))))/\(((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e13) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13)))))))))\/((((op1 (e13) (e10)) = (e13))/\(((op1 (e10) (e13)) = (e13))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11))))/\(((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12))))/\((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))))))))\/((((op1 (e13) (e11)) = (e13))/\(((op1 (e11) (e13)) = (e13))/\(((~((op1 (e11) (e10)) = (e11)))\/(~((op1 (e11) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e11) (e12)) = (e11)))\/(~((op1 (e11) (e11)) = (e12))))/\((~((op1 (e11) (e13)) = (e11)))\/(~((op1 (e11) (e11)) = (e13)))))))))\/((((op1 (e13) (e12)) = (e13))/\(((op1 (e12) (e13)) = (e13))/\(((~((op1 (e12) (e10)) = (e12)))\/(~((op1 (e12) (e12)) = (e10))))/\(((~((op1 (e12) (e11)) = (e12)))\/(~((op1 (e12) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13)))))))))\/(((op1 (e13) (e13)) = (e13))/\(((op1 (e13) (e13)) = (e13))/\(((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e13) (e13)) = (e10))))/\(((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11))))/\(((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e13) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13)))))))))))))))))))))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e20) (e21)) = (e20))\/(((op2 (e20) (e22)) = (e20))\/((op2 (e20) (e23)) = (e20))))) -> (~((op2 (e20) (e23)) = (e20))) -> (~((op2 (e20) (e20)) = (e22))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> ((e22) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> ((e23) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e10)) = (e12))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e13) (e10)) = (e12))))) -> (~((e10) = (e12))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((h2 (op1 (e13) (e13))) = (op2 (h2 (e13)) (h2 (e13))))) -> ((h2 (e10)) = (op2 (e21) (e21))) -> ((h2 (e13)) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> (~((e20) = (e22))) -> (((op2 (e20) (e20)) = (e22))\/(((op2 (e21) (e20)) = (e22))\/(((op2 (e22) (e20)) = (e22))\/((op2 (e23) (e20)) = (e22))))) -> ((e20) = (op2 (e21) (e21))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> (~((op2 (e20) (e20)) = (e20))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> ((op1 (e13) (e11)) = (e13)) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e12))\/((op1 (e11) (e10)) = (e13))))) -> ((e12) = (op1 (op1 (op1 (e11) (e11)) (op1 (e11) (e11))) (op1 (e11) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> ((op1 (e11) (op1 (e11) (e13))) = (e13)) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> ((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) -> ((e10) = (op1 (e11) (e11))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> False).
% 55.30/55.39 do 0 intro. intros zenon_H245 zenon_H180 zenon_H172 zenon_H186 zenon_Hac zenon_Had zenon_Hbd zenon_H3e zenon_H3f zenon_H3b zenon_Hb0 zenon_H545 zenon_H4c3 zenon_H16c zenon_H18e zenon_H53a zenon_H26c zenon_H461 zenon_H192 zenon_H3cb zenon_H39d zenon_H4e2 zenon_Hb7 zenon_H33 zenon_H8d zenon_H31 zenon_H246 zenon_H19d zenon_H1a0 zenon_H1e zenon_H17 zenon_H1a9 zenon_H1c3 zenon_H18a zenon_H21a zenon_H179 zenon_H25 zenon_H15f zenon_H155 zenon_H154 zenon_H14b zenon_H29e zenon_H2c0 zenon_H1f4 zenon_H15 zenon_H13 zenon_H2b9 zenon_H15a zenon_H2c2.
% 55.30/55.39 apply (zenon_or_s _ _ zenon_H245); [ zenon_intro zenon_H147 | zenon_intro zenon_H254 ].
% 55.30/55.39 apply (zenon_L60_); trivial.
% 55.30/55.39 apply (zenon_or_s _ _ zenon_H254); [ zenon_intro zenon_H164 | zenon_intro zenon_H255 ].
% 55.30/55.39 apply (zenon_L66_); trivial.
% 55.30/55.39 apply (zenon_or_s _ _ zenon_H255); [ zenon_intro zenon_H197 | zenon_intro zenon_H256 ].
% 55.30/55.39 apply (zenon_L1073_); trivial.
% 55.30/55.39 apply (zenon_or_s _ _ zenon_H256); [ zenon_intro zenon_H199 | zenon_intro zenon_H257 ].
% 55.30/55.39 apply (zenon_L77_); trivial.
% 55.30/55.39 apply (zenon_or_s _ _ zenon_H257); [ zenon_intro zenon_H259 | zenon_intro zenon_H258 ].
% 55.30/55.39 apply (zenon_L1076_); trivial.
% 55.30/55.39 apply (zenon_or_s _ _ zenon_H258); [ zenon_intro zenon_H1a5 | zenon_intro zenon_H262 ].
% 55.30/55.39 apply (zenon_L80_); trivial.
% 55.30/55.39 apply (zenon_or_s _ _ zenon_H262); [ zenon_intro zenon_H1ae | zenon_intro zenon_H263 ].
% 55.30/55.39 apply (zenon_L83_); trivial.
% 55.30/55.39 apply (zenon_or_s _ _ zenon_H263); [ zenon_intro zenon_H212 | zenon_intro zenon_H264 ].
% 55.30/55.39 apply (zenon_L167_); trivial.
% 55.30/55.39 apply (zenon_or_s _ _ zenon_H264); [ zenon_intro zenon_H220 | zenon_intro zenon_H265 ].
% 55.30/55.39 apply (zenon_L110_); trivial.
% 55.30/55.39 apply (zenon_or_s _ _ zenon_H265); [ zenon_intro zenon_H222 | zenon_intro zenon_H266 ].
% 55.30/55.39 apply (zenon_L111_); trivial.
% 55.30/55.39 apply (zenon_or_s _ _ zenon_H266); [ zenon_intro zenon_H225 | zenon_intro zenon_H267 ].
% 55.30/55.39 apply (zenon_L113_); trivial.
% 55.30/55.39 apply (zenon_or_s _ _ zenon_H267); [ zenon_intro zenon_H22d | zenon_intro zenon_H268 ].
% 55.30/55.39 apply (zenon_L114_); trivial.
% 55.30/55.39 apply (zenon_or_s _ _ zenon_H268); [ zenon_intro zenon_H230 | zenon_intro zenon_H269 ].
% 55.30/55.39 apply (zenon_L115_); trivial.
% 55.30/55.39 apply (zenon_or_s _ _ zenon_H269); [ zenon_intro zenon_H232 | zenon_intro zenon_H26a ].
% 55.30/55.39 apply (zenon_L116_); trivial.
% 55.30/55.39 apply (zenon_or_s _ _ zenon_H26a); [ zenon_intro zenon_H240 | zenon_intro zenon_H242 ].
% 55.30/55.39 apply (zenon_L166_); trivial.
% 55.30/55.39 apply (zenon_L125_); trivial.
% 55.30/55.39 (* end of lemma zenon_L1079_ *)
% 55.30/55.39 assert (zenon_L1080_ : ((~((op2 (e20) (e22)) = (e20)))\/(~((op2 (e20) (e20)) = (e22)))) -> ((((op1 (e10) (op1 (e10) (e10))) = (e10))/\(((op1 (e10) (op1 (e10) (e11))) = (e11))/\(((op1 (e10) (op1 (e10) (e12))) = (e12))/\(((op1 (e10) (op1 (e10) (e13))) = (e13))/\(((~((op1 (e10) (e10)) = (e10)))\/((op1 (e10) (e10)) = (e10)))/\(((~((op1 (e11) (e11)) = (e10)))\/((op1 (e11) (e10)) = (e11)))/\(((~((op1 (e12) (e12)) = (e10)))\/((op1 (e12) (e10)) = (e12)))/\((~((op1 (e13) (e13)) = (e10)))\/((op1 (e13) (e10)) = (e13))))))))))\/((((op1 (e11) (op1 (e11) (e10))) = (e10))/\(((op1 (e11) (op1 (e11) (e11))) = (e11))/\(((op1 (e11) (op1 (e11) (e12))) = (e12))/\(((op1 (e11) (op1 (e11) (e13))) = (e13))/\(((~((op1 (e10) (e10)) = (e11)))\/((op1 (e10) (e11)) = (e10)))/\(((~((op1 (e11) (e11)) = (e11)))\/((op1 (e11) (e11)) = (e11)))/\(((~((op1 (e12) (e12)) = (e11)))\/((op1 (e12) (e11)) = (e12)))/\((~((op1 (e13) (e13)) = (e11)))\/((op1 (e13) (e11)) = (e13))))))))))\/((((op1 (e12) (op1 (e12) (e10))) = (e10))/\(((op1 (e12) (op1 (e12) (e11))) = (e11))/\(((op1 (e12) (op1 (e12) (e12))) = (e12))/\(((op1 (e12) (op1 (e12) (e13))) = (e13))/\(((~((op1 (e10) (e10)) = (e12)))\/((op1 (e10) (e12)) = (e10)))/\(((~((op1 (e11) (e11)) = (e12)))\/((op1 (e11) (e12)) = (e11)))/\(((~((op1 (e12) (e12)) = (e12)))\/((op1 (e12) (e12)) = (e12)))/\((~((op1 (e13) (e13)) = (e12)))\/((op1 (e13) (e12)) = (e13))))))))))\/(((op1 (e13) (op1 (e13) (e10))) = (e10))/\(((op1 (e13) (op1 (e13) (e11))) = (e11))/\(((op1 (e13) (op1 (e13) (e12))) = (e12))/\(((op1 (e13) (op1 (e13) (e13))) = (e13))/\(((~((op1 (e10) (e10)) = (e13)))\/((op1 (e10) (e13)) = (e10)))/\(((~((op1 (e11) (e11)) = (e13)))\/((op1 (e11) (e13)) = (e11)))/\(((~((op1 (e12) (e12)) = (e13)))\/((op1 (e12) (e13)) = (e12)))/\((~((op1 (e13) (e13)) = (e13)))\/((op1 (e13) (e13)) = (e13))))))))))))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e12) (e13)) = (e10))))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e12) (e11)) = (e13))))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e12))\/((op1 (e11) (e10)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> ((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) -> ((e12) = (op1 (op1 (op1 (e11) (e11)) (op1 (e11) (e11))) (op1 (e11) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op2 (e20) (e20)) = (e22))\/(((op2 (e21) (e20)) = (e22))\/(((op2 (e22) (e20)) = (e22))\/((op2 (e23) (e20)) = (e22))))) -> (~((e20) = (e22))) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> ((h2 (e13)) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((h2 (e10)) = (op2 (e21) (e21))) -> (~((h2 (op1 (e13) (e13))) = (op2 (h2 (e13)) (h2 (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((e10) = (e12))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> ((e22) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e10)) = (e12))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e13) (e10)) = (e12))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e11)) = (e12))\/((op1 (e10) (e11)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (((op1 (e13) (e13)) = (e10))\/(((op1 (e13) (e13)) = (e11))\/(((op1 (e13) (e13)) = (e12))\/((op1 (e13) (e13)) = (e13))))) -> (~((e12) = (e13))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> ((((op1 (e10) (e10)) = (e10))/\(((op1 (e10) (e10)) = (e10))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11))))/\(((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12))))/\((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))))))))\/((((op1 (e10) (e11)) = (e10))/\(((op1 (e11) (e10)) = (e10))/\(((~((op1 (e11) (e10)) = (e11)))\/(~((op1 (e11) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e11) (e12)) = (e11)))\/(~((op1 (e11) (e11)) = (e12))))/\((~((op1 (e11) (e13)) = (e11)))\/(~((op1 (e11) (e11)) = (e13)))))))))\/((((op1 (e10) (e12)) = (e10))/\(((op1 (e12) (e10)) = (e10))/\(((~((op1 (e12) (e10)) = (e12)))\/(~((op1 (e12) (e12)) = (e10))))/\(((~((op1 (e12) (e11)) = (e12)))\/(~((op1 (e12) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13)))))))))\/((((op1 (e10) (e13)) = (e10))/\(((op1 (e13) (e10)) = (e10))/\(((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e13) (e13)) = (e10))))/\(((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11))))/\(((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e13) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13)))))))))\/((((op1 (e11) (e10)) = (e11))/\(((op1 (e10) (e11)) = (e11))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11))))/\(((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12))))/\((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))))))))\/((((op1 (e11) (e11)) = (e11))/\(((op1 (e11) (e11)) = (e11))/\(((~((op1 (e11) (e10)) = (e11)))\/(~((op1 (e11) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e11) (e12)) = (e11)))\/(~((op1 (e11) (e11)) = (e12))))/\((~((op1 (e11) (e13)) = (e11)))\/(~((op1 (e11) (e11)) = (e13)))))))))\/((((op1 (e11) (e12)) = (e11))/\(((op1 (e12) (e11)) = (e11))/\(((~((op1 (e12) (e10)) = (e12)))\/(~((op1 (e12) (e12)) = (e10))))/\(((~((op1 (e12) (e11)) = (e12)))\/(~((op1 (e12) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13)))))))))\/((((op1 (e11) (e13)) = (e11))/\(((op1 (e13) (e11)) = (e11))/\(((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e13) (e13)) = (e10))))/\(((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11))))/\(((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e13) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13)))))))))\/((((op1 (e12) (e10)) = (e12))/\(((op1 (e10) (e12)) = (e12))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11))))/\(((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12))))/\((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))))))))\/((((op1 (e12) (e11)) = (e12))/\(((op1 (e11) (e12)) = (e12))/\(((~((op1 (e11) (e10)) = (e11)))\/(~((op1 (e11) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e11) (e12)) = (e11)))\/(~((op1 (e11) (e11)) = (e12))))/\((~((op1 (e11) (e13)) = (e11)))\/(~((op1 (e11) (e11)) = (e13)))))))))\/((((op1 (e12) (e12)) = (e12))/\(((op1 (e12) (e12)) = (e12))/\(((~((op1 (e12) (e10)) = (e12)))\/(~((op1 (e12) (e12)) = (e10))))/\(((~((op1 (e12) (e11)) = (e12)))\/(~((op1 (e12) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13)))))))))\/((((op1 (e12) (e13)) = (e12))/\(((op1 (e13) (e12)) = (e12))/\(((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e13) (e13)) = (e10))))/\(((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11))))/\(((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e13) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13)))))))))\/((((op1 (e13) (e10)) = (e13))/\(((op1 (e10) (e13)) = (e13))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11))))/\(((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12))))/\((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))))))))\/((((op1 (e13) (e11)) = (e13))/\(((op1 (e11) (e13)) = (e13))/\(((~((op1 (e11) (e10)) = (e11)))\/(~((op1 (e11) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e11) (e12)) = (e11)))\/(~((op1 (e11) (e11)) = (e12))))/\((~((op1 (e11) (e13)) = (e11)))\/(~((op1 (e11) (e11)) = (e13)))))))))\/((((op1 (e13) (e12)) = (e13))/\(((op1 (e12) (e13)) = (e13))/\(((~((op1 (e12) (e10)) = (e12)))\/(~((op1 (e12) (e12)) = (e10))))/\(((~((op1 (e12) (e11)) = (e12)))\/(~((op1 (e12) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13)))))))))\/(((op1 (e13) (e13)) = (e13))/\(((op1 (e13) (e13)) = (e13))/\(((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e13) (e13)) = (e10))))/\(((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11))))/\(((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e13) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13)))))))))))))))))))))))) -> ((e10) = (op1 (e11) (e11))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e20) (e21)) = (e20))\/(((op2 (e20) (e22)) = (e20))\/((op2 (e20) (e23)) = (e20))))) -> ((e20) = (op2 (e21) (e21))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> (~((op2 (e20) (e20)) = (e20))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e20) (e21)) = (e23))\/(((op2 (e20) (e22)) = (e23))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e22)))) -> ((e23) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> ((~((op2 (e20) (e23)) = (e20)))\/(~((op2 (e20) (e20)) = (e23)))) -> False).
% 55.30/55.39 do 0 intro. intros zenon_Hbc zenon_H36e zenon_H358 zenon_H355 zenon_H345 zenon_H360 zenon_H35d zenon_H2d1 zenon_H2c9 zenon_H2d9 zenon_H2e7 zenon_H2e6 zenon_H2a3 zenon_H2e2 zenon_H2ad zenon_H2ea zenon_H316 zenon_H313 zenon_H30e zenon_H30b zenon_H301 zenon_H321 zenon_H322 zenon_H325 zenon_H328 zenon_H2f8 zenon_H2f6 zenon_H2fb zenon_H2fd zenon_H32e zenon_H32b zenon_H2b9 zenon_H2c0 zenon_H2c2 zenon_H15f zenon_H15a zenon_H15 zenon_H155 zenon_H154 zenon_H14b zenon_Hb7 zenon_H4e2 zenon_H39d zenon_H3cb zenon_H192 zenon_H461 zenon_H26c zenon_H53a zenon_H18e zenon_H18a zenon_H16c zenon_H172 zenon_H179 zenon_H180 zenon_H186 zenon_H545 zenon_Hb0 zenon_H3f zenon_H3e zenon_H4c3 zenon_H21a zenon_H246 zenon_H19d zenon_H1a0 zenon_H25 zenon_H1e zenon_H17 zenon_H1a9 zenon_H209 zenon_H206 zenon_H204 zenon_H1fd zenon_H1fa zenon_H1f7 zenon_H1f4 zenon_H1ed zenon_H1e8 zenon_H1da zenon_H1d8 zenon_H1cc zenon_H1de zenon_H1b1 zenon_H1be zenon_H20c zenon_H236 zenon_H23b zenon_H245 zenon_H13 zenon_Hac zenon_H33 zenon_H8d zenon_H31 zenon_Ha5 zenon_H9f zenon_H98 zenon_H3b zenon_H93 zenon_Haa.
% 55.30/55.39 apply (zenon_or_s _ _ zenon_Hbc); [ zenon_intro zenon_Hab | zenon_intro zenon_Hbd ].
% 55.30/55.39 apply (zenon_L29_); trivial.
% 55.30/55.39 apply (zenon_or_s _ _ zenon_Haa); [ zenon_intro zenon_Had | zenon_intro zenon_Ha6 ].
% 55.30/55.39 apply (zenon_or_s _ _ zenon_H36e); [ zenon_intro zenon_H244 | zenon_intro zenon_H36f ].
% 55.30/55.39 apply (zenon_and_s _ _ zenon_H244). zenon_intro zenon_H248. zenon_intro zenon_H247.
% 55.30/55.39 apply (zenon_and_s _ _ zenon_H247). zenon_intro zenon_H1dd. zenon_intro zenon_H249.
% 55.30/55.39 apply (zenon_and_s _ _ zenon_H249). zenon_intro zenon_H24b. zenon_intro zenon_H24a.
% 55.30/55.39 apply (zenon_and_s _ _ zenon_H24a). zenon_intro zenon_H24d. zenon_intro zenon_H24c.
% 55.30/55.39 apply (zenon_and_s _ _ zenon_H24c). zenon_intro zenon_H24f. zenon_intro zenon_H24e.
% 55.30/55.39 apply (zenon_and_s _ _ zenon_H24e). zenon_intro zenon_H251. zenon_intro zenon_H250.
% 55.30/55.39 apply (zenon_and_s _ _ zenon_H250). zenon_intro zenon_H253. zenon_intro zenon_H252.
% 55.30/55.39 apply (zenon_or_s _ _ zenon_H251); [ zenon_intro zenon_H14 | zenon_intro zenon_H163 ].
% 55.30/55.39 apply zenon_H14. apply sym_equal. exact zenon_H13.
% 55.30/55.39 apply (zenon_or_s _ _ zenon_H253); [ zenon_intro zenon_H1db | zenon_intro zenon_H21b ].
% 55.30/55.39 apply (zenon_or_s _ _ zenon_H252); [ zenon_intro zenon_H193 | zenon_intro zenon_H1b0 ].
% 55.30/55.39 apply (zenon_or_s _ _ zenon_H245); [ zenon_intro zenon_H147 | zenon_intro zenon_H254 ].
% 55.30/55.39 apply (zenon_L60_); trivial.
% 55.30/55.39 apply (zenon_or_s _ _ zenon_H254); [ zenon_intro zenon_H164 | zenon_intro zenon_H255 ].
% 55.30/55.39 apply (zenon_L66_); trivial.
% 55.30/55.39 apply (zenon_or_s _ _ zenon_H255); [ zenon_intro zenon_H197 | zenon_intro zenon_H256 ].
% 55.30/55.39 apply (zenon_L1073_); trivial.
% 55.30/55.39 apply (zenon_or_s _ _ zenon_H256); [ zenon_intro zenon_H199 | zenon_intro zenon_H257 ].
% 55.30/55.39 apply (zenon_L77_); trivial.
% 55.30/55.39 apply (zenon_or_s _ _ zenon_H257); [ zenon_intro zenon_H259 | zenon_intro zenon_H258 ].
% 55.30/55.39 apply (zenon_L1076_); trivial.
% 55.30/55.39 apply (zenon_or_s _ _ zenon_H258); [ zenon_intro zenon_H1a5 | zenon_intro zenon_H262 ].
% 55.30/55.39 apply (zenon_L80_); trivial.
% 55.30/55.39 apply (zenon_or_s _ _ zenon_H262); [ zenon_intro zenon_H1ae | zenon_intro zenon_H263 ].
% 55.30/55.39 apply (zenon_L83_); trivial.
% 55.30/55.39 apply (zenon_or_s _ _ zenon_H263); [ zenon_intro zenon_H212 | zenon_intro zenon_H264 ].
% 55.30/55.39 apply (zenon_L108_); trivial.
% 55.30/55.39 apply (zenon_or_s _ _ zenon_H264); [ zenon_intro zenon_H220 | zenon_intro zenon_H265 ].
% 55.30/55.39 apply (zenon_L110_); trivial.
% 55.30/55.39 apply (zenon_or_s _ _ zenon_H265); [ zenon_intro zenon_H222 | zenon_intro zenon_H266 ].
% 55.30/55.39 apply (zenon_L111_); trivial.
% 55.30/55.39 apply (zenon_or_s _ _ zenon_H266); [ zenon_intro zenon_H225 | zenon_intro zenon_H267 ].
% 55.30/55.39 apply (zenon_L113_); trivial.
% 55.30/55.39 apply (zenon_or_s _ _ zenon_H267); [ zenon_intro zenon_H22d | zenon_intro zenon_H268 ].
% 55.30/55.39 apply (zenon_L114_); trivial.
% 55.30/55.39 apply (zenon_or_s _ _ zenon_H268); [ zenon_intro zenon_H230 | zenon_intro zenon_H269 ].
% 55.30/55.39 apply (zenon_L115_); trivial.
% 55.30/55.39 apply (zenon_or_s _ _ zenon_H269); [ zenon_intro zenon_H232 | zenon_intro zenon_H26a ].
% 55.30/55.39 apply (zenon_L116_); trivial.
% 55.30/55.39 apply (zenon_or_s _ _ zenon_H26a); [ zenon_intro zenon_H240 | zenon_intro zenon_H242 ].
% 55.30/55.39 apply (zenon_L123_); trivial.
% 55.30/55.39 apply (zenon_L125_); trivial.
% 55.30/55.39 apply (zenon_L84_); trivial.
% 55.30/55.39 apply (zenon_L109_); trivial.
% 55.30/55.39 apply (zenon_or_s _ _ zenon_H36f); [ zenon_intro zenon_H371 | zenon_intro zenon_H370 ].
% 55.30/55.39 apply (zenon_and_s _ _ zenon_H371). zenon_intro zenon_H292. zenon_intro zenon_H372.
% 55.30/55.39 apply (zenon_and_s _ _ zenon_H372). zenon_intro zenon_H2a6. zenon_intro zenon_H373.
% 55.30/55.39 apply (zenon_and_s _ _ zenon_H373). zenon_intro zenon_H375. zenon_intro zenon_H374.
% 55.30/55.39 apply (zenon_and_s _ _ zenon_H374). zenon_intro zenon_H29e. zenon_intro zenon_H376.
% 55.30/55.39 apply (zenon_and_s _ _ zenon_H376). zenon_intro zenon_H378. zenon_intro zenon_H377.
% 55.30/55.39 apply (zenon_and_s _ _ zenon_H377). zenon_intro zenon_H37a. zenon_intro zenon_H379.
% 55.30/55.39 apply (zenon_and_s _ _ zenon_H379). zenon_intro zenon_H37c. zenon_intro zenon_H37b.
% 55.30/55.39 apply (zenon_or_s _ _ zenon_H37b); [ zenon_intro zenon_H20d | zenon_intro zenon_H1c3 ].
% 55.30/55.39 apply (zenon_or_s _ _ zenon_H245); [ zenon_intro zenon_H147 | zenon_intro zenon_H254 ].
% 55.30/55.39 apply (zenon_L60_); trivial.
% 55.30/55.39 apply (zenon_or_s _ _ zenon_H254); [ zenon_intro zenon_H164 | zenon_intro zenon_H255 ].
% 55.30/55.39 apply (zenon_L66_); trivial.
% 55.30/55.39 apply (zenon_or_s _ _ zenon_H255); [ zenon_intro zenon_H197 | zenon_intro zenon_H256 ].
% 55.30/55.39 apply (zenon_L1073_); trivial.
% 55.30/55.39 apply (zenon_or_s _ _ zenon_H256); [ zenon_intro zenon_H199 | zenon_intro zenon_H257 ].
% 55.30/55.39 apply (zenon_L77_); trivial.
% 55.30/55.39 apply (zenon_or_s _ _ zenon_H257); [ zenon_intro zenon_H259 | zenon_intro zenon_H258 ].
% 55.30/55.39 apply (zenon_L1076_); trivial.
% 55.30/55.39 apply (zenon_or_s _ _ zenon_H258); [ zenon_intro zenon_H1a5 | zenon_intro zenon_H262 ].
% 55.30/55.39 apply (zenon_L80_); trivial.
% 55.30/55.39 apply (zenon_or_s _ _ zenon_H262); [ zenon_intro zenon_H1ae | zenon_intro zenon_H263 ].
% 55.30/55.39 apply (zenon_L83_); trivial.
% 55.30/55.39 apply (zenon_or_s _ _ zenon_H263); [ zenon_intro zenon_H212 | zenon_intro zenon_H264 ].
% 55.30/55.39 apply (zenon_and_s _ _ zenon_H212). zenon_intro zenon_H214. zenon_intro zenon_H213.
% 55.30/55.39 apply (zenon_and_s _ _ zenon_H213). zenon_intro zenon_H1ff. zenon_intro zenon_H19c.
% 55.30/55.39 apply (zenon_and_s _ _ zenon_H19c). zenon_intro zenon_H216. zenon_intro zenon_H215.
% 55.30/55.39 apply (zenon_and_s _ _ zenon_H215). zenon_intro zenon_H218. zenon_intro zenon_H217.
% 55.30/55.39 apply (zenon_and_s _ _ zenon_H217). zenon_intro zenon_H219. zenon_intro zenon_H211.
% 55.30/55.39 apply (zenon_or_s _ _ zenon_H216); [ zenon_intro zenon_H1b6 | zenon_intro zenon_H193 ].
% 55.30/55.39 apply (zenon_or_s _ _ zenon_H219); [ zenon_intro zenon_H1bd | zenon_intro zenon_H185 ].
% 55.30/55.39 apply (zenon_L151_); trivial.
% 55.30/55.39 apply (zenon_or_s _ _ zenon_H211); [ zenon_intro zenon_H1c0 | zenon_intro zenon_H1c0 ].
% 55.30/55.39 apply (zenon_L1078_); trivial.
% 55.30/55.39 apply (zenon_L1078_); trivial.
% 55.30/55.39 apply (zenon_L107_); trivial.
% 55.30/55.39 apply (zenon_or_s _ _ zenon_H264); [ zenon_intro zenon_H220 | zenon_intro zenon_H265 ].
% 55.30/55.39 apply (zenon_L110_); trivial.
% 55.30/55.39 apply (zenon_or_s _ _ zenon_H265); [ zenon_intro zenon_H222 | zenon_intro zenon_H266 ].
% 55.30/55.39 apply (zenon_L111_); trivial.
% 55.30/55.39 apply (zenon_or_s _ _ zenon_H266); [ zenon_intro zenon_H225 | zenon_intro zenon_H267 ].
% 55.30/55.39 apply (zenon_L113_); trivial.
% 55.30/55.39 apply (zenon_or_s _ _ zenon_H267); [ zenon_intro zenon_H22d | zenon_intro zenon_H268 ].
% 55.30/55.39 apply (zenon_L114_); trivial.
% 55.30/55.39 apply (zenon_or_s _ _ zenon_H268); [ zenon_intro zenon_H230 | zenon_intro zenon_H269 ].
% 55.30/55.39 apply (zenon_L115_); trivial.
% 55.30/55.39 apply (zenon_or_s _ _ zenon_H269); [ zenon_intro zenon_H232 | zenon_intro zenon_H26a ].
% 55.30/55.39 apply (zenon_L116_); trivial.
% 55.30/55.39 apply (zenon_or_s _ _ zenon_H26a); [ zenon_intro zenon_H240 | zenon_intro zenon_H242 ].
% 55.30/55.39 apply (zenon_L166_); trivial.
% 55.30/55.39 apply (zenon_L125_); trivial.
% 55.30/55.39 apply (zenon_L1079_); trivial.
% 55.30/55.39 apply (zenon_or_s _ _ zenon_H370); [ zenon_intro zenon_H335 | zenon_intro zenon_H363 ].
% 55.30/55.39 apply (zenon_L260_); trivial.
% 55.30/55.39 apply (zenon_L307_); trivial.
% 55.30/55.39 apply (zenon_L28_); trivial.
% 55.30/55.39 (* end of lemma zenon_L1080_ *)
% 55.30/55.39 assert (zenon_L1081_ : (((op2 (e21) (e20)) = (e21))/\(((op2 (e20) (e21)) = (e21))/\(((~((op2 (e20) (e20)) = (e20)))\/(~((op2 (e20) (e20)) = (e20))))/\(((~((op2 (e20) (e21)) = (e20)))\/(~((op2 (e20) (e20)) = (e21))))/\(((~((op2 (e20) (e22)) = (e20)))\/(~((op2 (e20) (e20)) = (e22))))/\((~((op2 (e20) (e23)) = (e20)))\/(~((op2 (e20) (e20)) = (e23))))))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> ((e23) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e22)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e20) (e21)) = (e23))\/(((op2 (e20) (e22)) = (e23))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> ((e20) = (op2 (e21) (e21))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e20) (e21)) = (e20))\/(((op2 (e20) (e22)) = (e20))\/((op2 (e20) (e23)) = (e20))))) -> ((e10) = (op1 (e11) (e11))) -> ((((op1 (e10) (e10)) = (e10))/\(((op1 (e10) (e10)) = (e10))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11))))/\(((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12))))/\((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))))))))\/((((op1 (e10) (e11)) = (e10))/\(((op1 (e11) (e10)) = (e10))/\(((~((op1 (e11) (e10)) = (e11)))\/(~((op1 (e11) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e11) (e12)) = (e11)))\/(~((op1 (e11) (e11)) = (e12))))/\((~((op1 (e11) (e13)) = (e11)))\/(~((op1 (e11) (e11)) = (e13)))))))))\/((((op1 (e10) (e12)) = (e10))/\(((op1 (e12) (e10)) = (e10))/\(((~((op1 (e12) (e10)) = (e12)))\/(~((op1 (e12) (e12)) = (e10))))/\(((~((op1 (e12) (e11)) = (e12)))\/(~((op1 (e12) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13)))))))))\/((((op1 (e10) (e13)) = (e10))/\(((op1 (e13) (e10)) = (e10))/\(((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e13) (e13)) = (e10))))/\(((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11))))/\(((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e13) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13)))))))))\/((((op1 (e11) (e10)) = (e11))/\(((op1 (e10) (e11)) = (e11))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11))))/\(((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12))))/\((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))))))))\/((((op1 (e11) (e11)) = (e11))/\(((op1 (e11) (e11)) = (e11))/\(((~((op1 (e11) (e10)) = (e11)))\/(~((op1 (e11) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e11) (e12)) = (e11)))\/(~((op1 (e11) (e11)) = (e12))))/\((~((op1 (e11) (e13)) = (e11)))\/(~((op1 (e11) (e11)) = (e13)))))))))\/((((op1 (e11) (e12)) = (e11))/\(((op1 (e12) (e11)) = (e11))/\(((~((op1 (e12) (e10)) = (e12)))\/(~((op1 (e12) (e12)) = (e10))))/\(((~((op1 (e12) (e11)) = (e12)))\/(~((op1 (e12) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13)))))))))\/((((op1 (e11) (e13)) = (e11))/\(((op1 (e13) (e11)) = (e11))/\(((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e13) (e13)) = (e10))))/\(((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11))))/\(((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e13) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13)))))))))\/((((op1 (e12) (e10)) = (e12))/\(((op1 (e10) (e12)) = (e12))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11))))/\(((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12))))/\((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))))))))\/((((op1 (e12) (e11)) = (e12))/\(((op1 (e11) (e12)) = (e12))/\(((~((op1 (e11) (e10)) = (e11)))\/(~((op1 (e11) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e11) (e12)) = (e11)))\/(~((op1 (e11) (e11)) = (e12))))/\((~((op1 (e11) (e13)) = (e11)))\/(~((op1 (e11) (e11)) = (e13)))))))))\/((((op1 (e12) (e12)) = (e12))/\(((op1 (e12) (e12)) = (e12))/\(((~((op1 (e12) (e10)) = (e12)))\/(~((op1 (e12) (e12)) = (e10))))/\(((~((op1 (e12) (e11)) = (e12)))\/(~((op1 (e12) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13)))))))))\/((((op1 (e12) (e13)) = (e12))/\(((op1 (e13) (e12)) = (e12))/\(((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e13) (e13)) = (e10))))/\(((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11))))/\(((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e13) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13)))))))))\/((((op1 (e13) (e10)) = (e13))/\(((op1 (e10) (e13)) = (e13))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11))))/\(((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12))))/\((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))))))))\/((((op1 (e13) (e11)) = (e13))/\(((op1 (e11) (e13)) = (e13))/\(((~((op1 (e11) (e10)) = (e11)))\/(~((op1 (e11) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e11) (e12)) = (e11)))\/(~((op1 (e11) (e11)) = (e12))))/\((~((op1 (e11) (e13)) = (e11)))\/(~((op1 (e11) (e11)) = (e13)))))))))\/((((op1 (e13) (e12)) = (e13))/\(((op1 (e12) (e13)) = (e13))/\(((~((op1 (e12) (e10)) = (e12)))\/(~((op1 (e12) (e12)) = (e10))))/\(((~((op1 (e12) (e11)) = (e12)))\/(~((op1 (e12) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13)))))))))\/(((op1 (e13) (e13)) = (e13))/\(((op1 (e13) (e13)) = (e13))/\(((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e13) (e13)) = (e10))))/\(((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11))))/\(((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e13) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13)))))))))))))))))))))))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((e12) = (e13))) -> (((op1 (e13) (e13)) = (e10))\/(((op1 (e13) (e13)) = (e11))\/(((op1 (e13) (e13)) = (e12))\/((op1 (e13) (e13)) = (e13))))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (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) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e11)) = (e12))\/((op1 (e10) (e11)) = (e13))))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e10)) = (e12))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e13) (e10)) = (e12))))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> ((e22) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((e10) = (e12))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((h2 (op1 (e13) (e13))) = (op2 (h2 (e13)) (h2 (e13))))) -> ((h2 (e10)) = (op2 (e21) (e21))) -> ((h2 (e13)) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> (~((e20) = (e22))) -> (((op2 (e20) (e20)) = (e22))\/(((op2 (e21) (e20)) = (e22))\/(((op2 (e22) (e20)) = (e22))\/((op2 (e23) (e20)) = (e22))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> ((e12) = (op1 (op1 (op1 (e11) (e11)) (op1 (e11) (e11))) (op1 (e11) (e11)))) -> ((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e12))\/((op1 (e11) (e10)) = (e13))))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (((op1 (e10) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e12) (e11)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e12) (e13)) = (e10))))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> ((((op1 (e10) (op1 (e10) (e10))) = (e10))/\(((op1 (e10) (op1 (e10) (e11))) = (e11))/\(((op1 (e10) (op1 (e10) (e12))) = (e12))/\(((op1 (e10) (op1 (e10) (e13))) = (e13))/\(((~((op1 (e10) (e10)) = (e10)))\/((op1 (e10) (e10)) = (e10)))/\(((~((op1 (e11) (e11)) = (e10)))\/((op1 (e11) (e10)) = (e11)))/\(((~((op1 (e12) (e12)) = (e10)))\/((op1 (e12) (e10)) = (e12)))/\((~((op1 (e13) (e13)) = (e10)))\/((op1 (e13) (e10)) = (e13))))))))))\/((((op1 (e11) (op1 (e11) (e10))) = (e10))/\(((op1 (e11) (op1 (e11) (e11))) = (e11))/\(((op1 (e11) (op1 (e11) (e12))) = (e12))/\(((op1 (e11) (op1 (e11) (e13))) = (e13))/\(((~((op1 (e10) (e10)) = (e11)))\/((op1 (e10) (e11)) = (e10)))/\(((~((op1 (e11) (e11)) = (e11)))\/((op1 (e11) (e11)) = (e11)))/\(((~((op1 (e12) (e12)) = (e11)))\/((op1 (e12) (e11)) = (e12)))/\((~((op1 (e13) (e13)) = (e11)))\/((op1 (e13) (e11)) = (e13))))))))))\/((((op1 (e12) (op1 (e12) (e10))) = (e10))/\(((op1 (e12) (op1 (e12) (e11))) = (e11))/\(((op1 (e12) (op1 (e12) (e12))) = (e12))/\(((op1 (e12) (op1 (e12) (e13))) = (e13))/\(((~((op1 (e10) (e10)) = (e12)))\/((op1 (e10) (e12)) = (e10)))/\(((~((op1 (e11) (e11)) = (e12)))\/((op1 (e11) (e12)) = (e11)))/\(((~((op1 (e12) (e12)) = (e12)))\/((op1 (e12) (e12)) = (e12)))/\((~((op1 (e13) (e13)) = (e12)))\/((op1 (e13) (e12)) = (e13))))))))))\/(((op1 (e13) (op1 (e13) (e10))) = (e10))/\(((op1 (e13) (op1 (e13) (e11))) = (e11))/\(((op1 (e13) (op1 (e13) (e12))) = (e12))/\(((op1 (e13) (op1 (e13) (e13))) = (e13))/\(((~((op1 (e10) (e10)) = (e13)))\/((op1 (e10) (e13)) = (e10)))/\(((~((op1 (e11) (e11)) = (e13)))\/((op1 (e11) (e13)) = (e11)))/\(((~((op1 (e12) (e12)) = (e13)))\/((op1 (e12) (e13)) = (e12)))/\((~((op1 (e13) (e13)) = (e13)))\/((op1 (e13) (e13)) = (e13))))))))))))) -> False).
% 55.30/55.39 do 0 intro. intros zenon_Hb6 zenon_H93 zenon_H3b zenon_H98 zenon_H9f zenon_Ha5 zenon_H8d zenon_H33 zenon_Hac zenon_H13 zenon_H245 zenon_H23b zenon_H236 zenon_H20c zenon_H1be zenon_H1b1 zenon_H1de zenon_H1cc zenon_H1d8 zenon_H1da zenon_H1e8 zenon_H1ed zenon_H1f4 zenon_H1f7 zenon_H1fa zenon_H1fd zenon_H204 zenon_H206 zenon_H209 zenon_H1a9 zenon_H17 zenon_H1e zenon_H25 zenon_H1a0 zenon_H19d zenon_H246 zenon_H21a zenon_H4c3 zenon_H3e zenon_H3f zenon_Hb0 zenon_H545 zenon_H186 zenon_H180 zenon_H179 zenon_H172 zenon_H16c zenon_H18a zenon_H18e zenon_H53a zenon_H26c zenon_H461 zenon_H192 zenon_H3cb zenon_H39d zenon_H4e2 zenon_Hb7 zenon_H14b zenon_H154 zenon_H155 zenon_H15 zenon_H15a zenon_H15f zenon_H2c2 zenon_H2c0 zenon_H2b9 zenon_H32b zenon_H32e zenon_H2fd zenon_H2fb zenon_H2f6 zenon_H2f8 zenon_H328 zenon_H325 zenon_H322 zenon_H321 zenon_H301 zenon_H30b zenon_H30e zenon_H313 zenon_H316 zenon_H2ea zenon_H2ad zenon_H2e2 zenon_H2a3 zenon_H2e6 zenon_H2e7 zenon_H2d9 zenon_H2c9 zenon_H2d1 zenon_H35d zenon_H360 zenon_H345 zenon_H355 zenon_H358 zenon_H36e.
% 55.30/55.39 apply (zenon_and_s _ _ zenon_Hb6). zenon_intro zenon_H4e. zenon_intro zenon_Hb8.
% 55.30/55.39 apply (zenon_and_s _ _ zenon_Hb8). zenon_intro zenon_Hb9. zenon_intro zenon_H2e.
% 55.30/55.39 apply (zenon_and_s _ _ zenon_H2e). zenon_intro zenon_H30. zenon_intro zenon_H2f.
% 55.30/55.39 apply (zenon_and_s _ _ zenon_H2f). zenon_intro zenon_Hbb. zenon_intro zenon_Hba.
% 55.30/55.39 apply (zenon_and_s _ _ zenon_Hba). zenon_intro zenon_Hbc. zenon_intro zenon_Haa.
% 55.30/55.39 apply (zenon_or_s _ _ zenon_H30); [ zenon_intro zenon_H31 | zenon_intro zenon_H31 ].
% 55.30/55.39 apply (zenon_L1080_); trivial.
% 55.30/55.39 apply (zenon_L1080_); trivial.
% 55.30/55.39 (* end of lemma zenon_L1081_ *)
% 55.30/55.39 assert (zenon_L1082_ : ((((op2 (e20) (e20)) = (e20))/\(((op2 (e20) (e20)) = (e20))/\(((~((op2 (e20) (e20)) = (e20)))\/(~((op2 (e20) (e20)) = (e20))))/\(((~((op2 (e20) (e21)) = (e20)))\/(~((op2 (e20) (e20)) = (e21))))/\(((~((op2 (e20) (e22)) = (e20)))\/(~((op2 (e20) (e20)) = (e22))))/\((~((op2 (e20) (e23)) = (e20)))\/(~((op2 (e20) (e20)) = (e23)))))))))\/((((op2 (e20) (e21)) = (e20))/\(((op2 (e21) (e20)) = (e20))/\(((~((op2 (e21) (e20)) = (e21)))\/(~((op2 (e21) (e21)) = (e20))))/\(((~((op2 (e21) (e21)) = (e21)))\/(~((op2 (e21) (e21)) = (e21))))/\(((~((op2 (e21) (e22)) = (e21)))\/(~((op2 (e21) (e21)) = (e22))))/\((~((op2 (e21) (e23)) = (e21)))\/(~((op2 (e21) (e21)) = (e23)))))))))\/((((op2 (e20) (e22)) = (e20))/\(((op2 (e22) (e20)) = (e20))/\(((~((op2 (e22) (e20)) = (e22)))\/(~((op2 (e22) (e22)) = (e20))))/\(((~((op2 (e22) (e21)) = (e22)))\/(~((op2 (e22) (e22)) = (e21))))/\(((~((op2 (e22) (e22)) = (e22)))\/(~((op2 (e22) (e22)) = (e22))))/\((~((op2 (e22) (e23)) = (e22)))\/(~((op2 (e22) (e22)) = (e23)))))))))\/((((op2 (e20) (e23)) = (e20))/\(((op2 (e23) (e20)) = (e20))/\(((~((op2 (e23) (e20)) = (e23)))\/(~((op2 (e23) (e23)) = (e20))))/\(((~((op2 (e23) (e21)) = (e23)))\/(~((op2 (e23) (e23)) = (e21))))/\(((~((op2 (e23) (e22)) = (e23)))\/(~((op2 (e23) (e23)) = (e22))))/\((~((op2 (e23) (e23)) = (e23)))\/(~((op2 (e23) (e23)) = (e23)))))))))\/((((op2 (e21) (e20)) = (e21))/\(((op2 (e20) (e21)) = (e21))/\(((~((op2 (e20) (e20)) = (e20)))\/(~((op2 (e20) (e20)) = (e20))))/\(((~((op2 (e20) (e21)) = (e20)))\/(~((op2 (e20) (e20)) = (e21))))/\(((~((op2 (e20) (e22)) = (e20)))\/(~((op2 (e20) (e20)) = (e22))))/\((~((op2 (e20) (e23)) = (e20)))\/(~((op2 (e20) (e20)) = (e23)))))))))\/((((op2 (e21) (e21)) = (e21))/\(((op2 (e21) (e21)) = (e21))/\(((~((op2 (e21) (e20)) = (e21)))\/(~((op2 (e21) (e21)) = (e20))))/\(((~((op2 (e21) (e21)) = (e21)))\/(~((op2 (e21) (e21)) = (e21))))/\(((~((op2 (e21) (e22)) = (e21)))\/(~((op2 (e21) (e21)) = (e22))))/\((~((op2 (e21) (e23)) = (e21)))\/(~((op2 (e21) (e21)) = (e23)))))))))\/((((op2 (e21) (e22)) = (e21))/\(((op2 (e22) (e21)) = (e21))/\(((~((op2 (e22) (e20)) = (e22)))\/(~((op2 (e22) (e22)) = (e20))))/\(((~((op2 (e22) (e21)) = (e22)))\/(~((op2 (e22) (e22)) = (e21))))/\(((~((op2 (e22) (e22)) = (e22)))\/(~((op2 (e22) (e22)) = (e22))))/\((~((op2 (e22) (e23)) = (e22)))\/(~((op2 (e22) (e22)) = (e23)))))))))\/((((op2 (e21) (e23)) = (e21))/\(((op2 (e23) (e21)) = (e21))/\(((~((op2 (e23) (e20)) = (e23)))\/(~((op2 (e23) (e23)) = (e20))))/\(((~((op2 (e23) (e21)) = (e23)))\/(~((op2 (e23) (e23)) = (e21))))/\(((~((op2 (e23) (e22)) = (e23)))\/(~((op2 (e23) (e23)) = (e22))))/\((~((op2 (e23) (e23)) = (e23)))\/(~((op2 (e23) (e23)) = (e23)))))))))\/((((op2 (e22) (e20)) = (e22))/\(((op2 (e20) (e22)) = (e22))/\(((~((op2 (e20) (e20)) = (e20)))\/(~((op2 (e20) (e20)) = (e20))))/\(((~((op2 (e20) (e21)) = (e20)))\/(~((op2 (e20) (e20)) = (e21))))/\(((~((op2 (e20) (e22)) = (e20)))\/(~((op2 (e20) (e20)) = (e22))))/\((~((op2 (e20) (e23)) = (e20)))\/(~((op2 (e20) (e20)) = (e23)))))))))\/((((op2 (e22) (e21)) = (e22))/\(((op2 (e21) (e22)) = (e22))/\(((~((op2 (e21) (e20)) = (e21)))\/(~((op2 (e21) (e21)) = (e20))))/\(((~((op2 (e21) (e21)) = (e21)))\/(~((op2 (e21) (e21)) = (e21))))/\(((~((op2 (e21) (e22)) = (e21)))\/(~((op2 (e21) (e21)) = (e22))))/\((~((op2 (e21) (e23)) = (e21)))\/(~((op2 (e21) (e21)) = (e23)))))))))\/((((op2 (e22) (e22)) = (e22))/\(((op2 (e22) (e22)) = (e22))/\(((~((op2 (e22) (e20)) = (e22)))\/(~((op2 (e22) (e22)) = (e20))))/\(((~((op2 (e22) (e21)) = (e22)))\/(~((op2 (e22) (e22)) = (e21))))/\(((~((op2 (e22) (e22)) = (e22)))\/(~((op2 (e22) (e22)) = (e22))))/\((~((op2 (e22) (e23)) = (e22)))\/(~((op2 (e22) (e22)) = (e23)))))))))\/((((op2 (e22) (e23)) = (e22))/\(((op2 (e23) (e22)) = (e22))/\(((~((op2 (e23) (e20)) = (e23)))\/(~((op2 (e23) (e23)) = (e20))))/\(((~((op2 (e23) (e21)) = (e23)))\/(~((op2 (e23) (e23)) = (e21))))/\(((~((op2 (e23) (e22)) = (e23)))\/(~((op2 (e23) (e23)) = (e22))))/\((~((op2 (e23) (e23)) = (e23)))\/(~((op2 (e23) (e23)) = (e23)))))))))\/((((op2 (e23) (e20)) = (e23))/\(((op2 (e20) (e23)) = (e23))/\(((~((op2 (e20) (e20)) = (e20)))\/(~((op2 (e20) (e20)) = (e20))))/\(((~((op2 (e20) (e21)) = (e20)))\/(~((op2 (e20) (e20)) = (e21))))/\(((~((op2 (e20) (e22)) = (e20)))\/(~((op2 (e20) (e20)) = (e22))))/\((~((op2 (e20) (e23)) = (e20)))\/(~((op2 (e20) (e20)) = (e23)))))))))\/((((op2 (e23) (e21)) = (e23))/\(((op2 (e21) (e23)) = (e23))/\(((~((op2 (e21) (e20)) = (e21)))\/(~((op2 (e21) (e21)) = (e20))))/\(((~((op2 (e21) (e21)) = (e21)))\/(~((op2 (e21) (e21)) = (e21))))/\(((~((op2 (e21) (e22)) = (e21)))\/(~((op2 (e21) (e21)) = (e22))))/\((~((op2 (e21) (e23)) = (e21)))\/(~((op2 (e21) (e21)) = (e23)))))))))\/((((op2 (e23) (e22)) = (e23))/\(((op2 (e22) (e23)) = (e23))/\(((~((op2 (e22) (e20)) = (e22)))\/(~((op2 (e22) (e22)) = (e20))))/\(((~((op2 (e22) (e21)) = (e22)))\/(~((op2 (e22) (e22)) = (e21))))/\(((~((op2 (e22) (e22)) = (e22)))\/(~((op2 (e22) (e22)) = (e22))))/\((~((op2 (e22) (e23)) = (e22)))\/(~((op2 (e22) (e22)) = (e23)))))))))\/(((op2 (e23) (e23)) = (e23))/\(((op2 (e23) (e23)) = (e23))/\(((~((op2 (e23) (e20)) = (e23)))\/(~((op2 (e23) (e23)) = (e20))))/\(((~((op2 (e23) (e21)) = (e23)))\/(~((op2 (e23) (e23)) = (e21))))/\(((~((op2 (e23) (e22)) = (e23)))\/(~((op2 (e23) (e23)) = (e22))))/\((~((op2 (e23) (e23)) = (e23)))\/(~((op2 (e23) (e23)) = (e23)))))))))))))))))))))))) -> (((op2 (e23) (e20)) = (e22))\/(((op2 (e23) (e21)) = (e22))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (((op2 (e23) (e23)) = (e20))\/(((op2 (e23) (e23)) = (e21))\/(((op2 (e23) (e23)) = (e22))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e23) (e23)) = (e21))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> ((((op1 (e10) (op1 (e10) (e10))) = (e10))/\(((op1 (e10) (op1 (e10) (e11))) = (e11))/\(((op1 (e10) (op1 (e10) (e12))) = (e12))/\(((op1 (e10) (op1 (e10) (e13))) = (e13))/\(((~((op1 (e10) (e10)) = (e10)))\/((op1 (e10) (e10)) = (e10)))/\(((~((op1 (e11) (e11)) = (e10)))\/((op1 (e11) (e10)) = (e11)))/\(((~((op1 (e12) (e12)) = (e10)))\/((op1 (e12) (e10)) = (e12)))/\((~((op1 (e13) (e13)) = (e10)))\/((op1 (e13) (e10)) = (e13))))))))))\/((((op1 (e11) (op1 (e11) (e10))) = (e10))/\(((op1 (e11) (op1 (e11) (e11))) = (e11))/\(((op1 (e11) (op1 (e11) (e12))) = (e12))/\(((op1 (e11) (op1 (e11) (e13))) = (e13))/\(((~((op1 (e10) (e10)) = (e11)))\/((op1 (e10) (e11)) = (e10)))/\(((~((op1 (e11) (e11)) = (e11)))\/((op1 (e11) (e11)) = (e11)))/\(((~((op1 (e12) (e12)) = (e11)))\/((op1 (e12) (e11)) = (e12)))/\((~((op1 (e13) (e13)) = (e11)))\/((op1 (e13) (e11)) = (e13))))))))))\/((((op1 (e12) (op1 (e12) (e10))) = (e10))/\(((op1 (e12) (op1 (e12) (e11))) = (e11))/\(((op1 (e12) (op1 (e12) (e12))) = (e12))/\(((op1 (e12) (op1 (e12) (e13))) = (e13))/\(((~((op1 (e10) (e10)) = (e12)))\/((op1 (e10) (e12)) = (e10)))/\(((~((op1 (e11) (e11)) = (e12)))\/((op1 (e11) (e12)) = (e11)))/\(((~((op1 (e12) (e12)) = (e12)))\/((op1 (e12) (e12)) = (e12)))/\((~((op1 (e13) (e13)) = (e12)))\/((op1 (e13) (e12)) = (e13))))))))))\/(((op1 (e13) (op1 (e13) (e10))) = (e10))/\(((op1 (e13) (op1 (e13) (e11))) = (e11))/\(((op1 (e13) (op1 (e13) (e12))) = (e12))/\(((op1 (e13) (op1 (e13) (e13))) = (e13))/\(((~((op1 (e10) (e10)) = (e13)))\/((op1 (e10) (e13)) = (e10)))/\(((~((op1 (e11) (e11)) = (e13)))\/((op1 (e11) (e13)) = (e11)))/\(((~((op1 (e12) (e12)) = (e13)))\/((op1 (e12) (e13)) = (e12)))/\((~((op1 (e13) (e13)) = (e13)))\/((op1 (e13) (e13)) = (e13))))))))))))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e12) (e13)) = (e10))))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e12) (e11)) = (e13))))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e12))\/((op1 (e11) (e10)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> ((e13) = (op1 (op1 (e11) (e11)) (op1 (e11) (e11)))) -> ((e12) = (op1 (op1 (op1 (e11) (e11)) (op1 (e11) (e11))) (op1 (e11) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op2 (e20) (e20)) = (e22))\/(((op2 (e21) (e20)) = (e22))\/(((op2 (e22) (e20)) = (e22))\/((op2 (e23) (e20)) = (e22))))) -> (~((e20) = (e22))) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> ((h2 (e13)) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((h2 (e10)) = (op2 (e21) (e21))) -> (~((h2 (op1 (e13) (e13))) = (op2 (h2 (e13)) (h2 (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((e10) = (e12))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e10)) = (e12))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e13) (e10)) = (e12))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = 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(e12) (e12)) = (e12))/\(((op1 (e12) (e12)) = (e12))/\(((~((op1 (e12) (e10)) = (e12)))\/(~((op1 (e12) (e12)) = (e10))))/\(((~((op1 (e12) (e11)) = (e12)))\/(~((op1 (e12) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13)))))))))\/((((op1 (e12) (e13)) = (e12))/\(((op1 (e13) (e12)) = (e12))/\(((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e13) (e13)) = (e10))))/\(((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11))))/\(((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e13) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13)))))))))\/((((op1 (e13) (e10)) = (e13))/\(((op1 (e10) (e13)) = (e13))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e10) (e11)) = (e10)))\/(~((op1 (e10) (e10)) = (e11))))/\(((~((op1 (e10) (e12)) = (e10)))\/(~((op1 (e10) (e10)) = (e12))))/\((~((op1 (e10) (e13)) = (e10)))\/(~((op1 (e10) (e10)) = (e13)))))))))\/((((op1 (e13) (e11)) = (e13))/\(((op1 (e11) (e13)) = (e13))/\(((~((op1 (e11) (e10)) = (e11)))\/(~((op1 (e11) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e11) (e12)) = (e11)))\/(~((op1 (e11) (e11)) = (e12))))/\((~((op1 (e11) (e13)) = (e11)))\/(~((op1 (e11) (e11)) = (e13)))))))))\/((((op1 (e13) (e12)) = (e13))/\(((op1 (e12) (e13)) = (e13))/\(((~((op1 (e12) (e10)) = (e12)))\/(~((op1 (e12) (e12)) = (e10))))/\(((~((op1 (e12) (e11)) = (e12)))\/(~((op1 (e12) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e12) (e13)) = (e12)))\/(~((op1 (e12) (e12)) = (e13)))))))))\/(((op1 (e13) (e13)) = (e13))/\(((op1 (e13) (e13)) = (e13))/\(((~((op1 (e13) (e10)) = (e13)))\/(~((op1 (e13) (e13)) = (e10))))/\(((~((op1 (e13) (e11)) = (e13)))\/(~((op1 (e13) (e13)) = (e11))))/\(((~((op1 (e13) (e12)) = (e13)))\/(~((op1 (e13) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13)))))))))))))))))))))))) -> ((e10) = (op1 (e11) (e11))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e20) (e21)) = (e20))\/(((op2 (e20) (e22)) = (e20))\/((op2 (e20) (e23)) = (e20))))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e20) (e21)) = (e23))\/(((op2 (e20) (e22)) = (e23))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e22)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e23)))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (((op2 (e21) (e20)) = (e20))\/(((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e20)) = (e22))\/((op2 (e21) (e20)) = (e23))))) -> ((e22) = (op2 (op2 (op2 (e21) (e21)) (op2 (e21) (e21))) (op2 (e21) (e21)))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> ((op2 (e21) (op2 (e21) (e23))) = (e23)) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> ((e23) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((e20) = (op2 (e21) (e21))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (((op2 (e21) (e20)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/((op2 (e21) (e23)) = (e23))))) -> False).
% 55.30/55.40 do 0 intro. intros zenon_H128 zenon_H74 zenon_H60 zenon_H382 zenon_H383 zenon_H6e zenon_H36e zenon_H358 zenon_H355 zenon_H345 zenon_H360 zenon_H35d zenon_H2d1 zenon_H2c9 zenon_H2d9 zenon_H2e7 zenon_H2e6 zenon_H2a3 zenon_H2e2 zenon_H2ad zenon_H2ea zenon_H316 zenon_H313 zenon_H30e zenon_H30b zenon_H301 zenon_H321 zenon_H322 zenon_H325 zenon_H328 zenon_H2f8 zenon_H2f6 zenon_H2fb zenon_H2fd zenon_H32e zenon_H32b zenon_H2b9 zenon_H2c0 zenon_H2c2 zenon_H15f zenon_H15a zenon_H15 zenon_H155 zenon_H154 zenon_H14b zenon_Hb7 zenon_H4e2 zenon_H39d zenon_H3cb zenon_H192 zenon_H461 zenon_H26c zenon_H53a zenon_H18e zenon_H18a zenon_H16c zenon_H172 zenon_H179 zenon_H180 zenon_H186 zenon_H545 zenon_H4c3 zenon_H21a zenon_H246 zenon_H19d zenon_H1a0 zenon_H25 zenon_H1e zenon_H17 zenon_H1a9 zenon_H209 zenon_H206 zenon_H204 zenon_H1fd zenon_H1fa zenon_H1f7 zenon_H1f4 zenon_H1ed zenon_H1e8 zenon_H1da zenon_H1d8 zenon_H1cc zenon_H1de zenon_H1b1 zenon_H1be zenon_H20c zenon_H236 zenon_H23b zenon_H245 zenon_H13 zenon_Hac zenon_H8d zenon_Ha5 zenon_H98 zenon_H93 zenon_Hc5 zenon_Hca zenon_Hb0 zenon_H67 zenon_H9f zenon_H4a zenon_H3f zenon_H3e zenon_H32 zenon_H395 zenon_H394 zenon_H38f zenon_H3b zenon_H33 zenon_H116 zenon_H45 zenon_H399.
% 55.30/55.40 apply (zenon_or_s _ _ zenon_H128); [ zenon_intro zenon_H2b | zenon_intro zenon_H134 ].
% 55.30/55.40 apply (zenon_L5_); trivial.
% 55.30/55.40 apply (zenon_or_s _ _ zenon_H134); [ zenon_intro zenon_H4f | zenon_intro zenon_H135 ].
% 55.30/55.40 apply (zenon_L12_); trivial.
% 55.30/55.40 apply (zenon_or_s _ _ zenon_H135); [ zenon_intro zenon_H77 | zenon_intro zenon_H136 ].
% 55.30/55.40 apply (zenon_L1071_); trivial.
% 55.30/55.40 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_H89 | zenon_intro zenon_H137 ].
% 55.30/55.40 apply (zenon_L316_); trivial.
% 55.30/55.40 apply (zenon_or_s _ _ zenon_H137); [ zenon_intro zenon_Hb6 | zenon_intro zenon_H138 ].
% 55.30/55.40 apply (zenon_L1081_); trivial.
% 55.30/55.40 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H139 ].
% 55.30/55.40 apply (zenon_L32_); trivial.
% 55.30/55.40 apply (zenon_or_s _ _ zenon_H139); [ zenon_intro zenon_Hc8 | zenon_intro zenon_H13a ].
% 55.30/55.40 apply (zenon_L35_); trivial.
% 55.30/55.40 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_Hcd | zenon_intro zenon_H13b ].
% 55.30/55.40 apply (zenon_L321_); trivial.
% 55.30/55.40 apply (zenon_or_s _ _ zenon_H13b); [ zenon_intro zenon_Hcf | zenon_intro zenon_H13c ].
% 55.30/55.40 apply (zenon_L38_); trivial.
% 55.30/55.40 apply (zenon_or_s _ _ zenon_H13c); [ zenon_intro zenon_Hd1 | zenon_intro zenon_H13d ].
% 55.30/55.40 apply (zenon_L39_); trivial.
% 55.30/55.40 apply (zenon_or_s _ _ zenon_H13d); [ zenon_intro zenon_Hd8 | zenon_intro zenon_H13e ].
% 55.30/55.40 apply (zenon_L41_); trivial.
% 55.30/55.40 apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_He0 | zenon_intro zenon_H13f ].
% 55.30/55.40 apply (zenon_L42_); trivial.
% 55.30/55.40 apply (zenon_or_s _ _ zenon_H13f); [ zenon_intro zenon_He3 | zenon_intro zenon_H140 ].
% 55.30/55.40 apply (zenon_L43_); trivial.
% 55.30/55.40 apply (zenon_or_s _ _ zenon_H140); [ zenon_intro zenon_He6 | zenon_intro zenon_H141 ].
% 55.30/55.40 apply (zenon_L44_); trivial.
% 55.30/55.40 apply (zenon_or_s _ _ zenon_H141); [ zenon_intro zenon_H142 | zenon_intro zenon_H108 ].
% 55.30/55.40 apply (zenon_L328_); trivial.
% 55.30/55.40 apply (zenon_L54_); trivial.
% 55.30/55.40 (* end of lemma zenon_L1082_ *)
% 55.30/55.40 assert (zenon_L1083_ : (~(((h2 (e10)) = (e23))\/(((h2 (e11)) = (e23))\/(((h2 (e12)) = (e23))\/((h2 (e13)) = (e23)))))) -> ((h2 (e13)) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> ((e23) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) -> False).
% 55.30/55.40 do 0 intro. intros zenon_H548 zenon_H461 zenon_H3b.
% 55.30/55.40 apply (zenon_notor_s _ _ zenon_H548). zenon_intro zenon_H54a. zenon_intro zenon_H549.
% 55.30/55.40 apply (zenon_notor_s _ _ zenon_H549). zenon_intro zenon_H54c. zenon_intro zenon_H54b.
% 55.30/55.40 apply (zenon_notor_s _ _ zenon_H54b). zenon_intro zenon_H54d. zenon_intro zenon_H460.
% 55.30/55.40 apply (zenon_L492_); trivial.
% 55.30/55.40 (* end of lemma zenon_L1083_ *)
% 55.30/55.40 apply NNPP. intro zenon_G.
% 55.30/55.40 apply (zenon_and_s _ _ ax1). zenon_intro zenon_H54f. zenon_intro zenon_H54e.
% 55.30/55.40 apply (zenon_and_s _ _ zenon_H54e). zenon_intro zenon_H206. zenon_intro zenon_H550.
% 55.30/55.40 apply (zenon_and_s _ _ zenon_H550). zenon_intro zenon_H552. zenon_intro zenon_H551.
% 55.30/55.40 apply (zenon_and_s _ _ zenon_H551). zenon_intro zenon_H328. zenon_intro zenon_H553.
% 55.30/55.40 apply (zenon_and_s _ _ zenon_H553). zenon_intro zenon_H15f. zenon_intro zenon_H554.
% 55.30/55.40 apply (zenon_and_s _ _ zenon_H554). zenon_intro zenon_H556. zenon_intro zenon_H555.
% 55.30/55.40 apply (zenon_and_s _ _ zenon_H555). zenon_intro zenon_H1f7. zenon_intro zenon_H557.
% 55.30/55.40 apply (zenon_and_s _ _ zenon_H557). zenon_intro zenon_H316. zenon_intro zenon_H558.
% 55.30/55.40 apply (zenon_and_s _ _ zenon_H558). zenon_intro zenon_H2b1. zenon_intro zenon_H559.
% 55.30/55.40 apply (zenon_and_s _ _ zenon_H559). zenon_intro zenon_H30b. zenon_intro zenon_H55a.
% 55.30/55.40 apply (zenon_and_s _ _ zenon_H55a). zenon_intro zenon_H1da. zenon_intro zenon_H55b.
% 55.30/55.40 apply (zenon_and_s _ _ zenon_H55b). zenon_intro zenon_H322. zenon_intro zenon_H55c.
% 55.30/55.40 apply (zenon_and_s _ _ zenon_H55c). zenon_intro zenon_H55e. zenon_intro zenon_H55d.
% 55.30/55.40 apply (zenon_and_s _ _ zenon_H55d). zenon_intro zenon_H2f8. zenon_intro zenon_H55f.
% 55.30/55.40 apply (zenon_and_s _ _ zenon_H55f). zenon_intro zenon_H325. zenon_intro zenon_H20c.
% 55.30/55.40 apply (zenon_and_s _ _ ax2). zenon_intro zenon_H246. zenon_intro zenon_H560.
% 55.30/55.40 apply (zenon_and_s _ _ zenon_H560). zenon_intro zenon_H4df. zenon_intro zenon_H561.
% 55.30/55.40 apply (zenon_and_s _ _ zenon_H561). zenon_intro zenon_H563. zenon_intro zenon_H562.
% 55.30/55.40 apply (zenon_and_s _ _ zenon_H562). zenon_intro zenon_H565. zenon_intro zenon_H564.
% 55.30/55.40 apply (zenon_and_s _ _ zenon_H564). zenon_intro zenon_H4c2. zenon_intro zenon_H566.
% 55.30/55.40 apply (zenon_and_s _ _ zenon_H566). zenon_intro zenon_H4c3. zenon_intro zenon_H567.
% 55.30/55.40 apply (zenon_and_s _ _ zenon_H567). zenon_intro zenon_H1a0. zenon_intro zenon_H568.
% 55.30/55.40 apply (zenon_and_s _ _ zenon_H568). zenon_intro zenon_H56a. zenon_intro zenon_H569.
% 55.30/55.40 apply (zenon_and_s _ _ zenon_H569). zenon_intro zenon_H56c. zenon_intro zenon_H56b.
% 55.30/55.40 apply (zenon_and_s _ _ zenon_H56b). zenon_intro zenon_H56e. zenon_intro zenon_H56d.
% 55.30/55.40 apply (zenon_and_s _ _ zenon_H56d). zenon_intro zenon_H474. zenon_intro zenon_H56f.
% 55.30/55.40 apply (zenon_and_s _ _ zenon_H56f). zenon_intro zenon_H571. zenon_intro zenon_H570.
% 55.30/55.40 apply (zenon_and_s _ _ zenon_H570). zenon_intro zenon_H1fa. zenon_intro zenon_H572.
% 55.30/55.40 apply (zenon_and_s _ _ zenon_H572). zenon_intro zenon_H209. zenon_intro zenon_H573.
% 55.30/55.40 apply (zenon_and_s _ _ zenon_H573). zenon_intro zenon_H2c2. zenon_intro zenon_H574.
% 55.30/55.40 apply (zenon_and_s _ _ zenon_H574). zenon_intro zenon_H313. zenon_intro zenon_H575.
% 55.30/55.40 apply (zenon_and_s _ _ zenon_H575). zenon_intro zenon_H2ea. zenon_intro zenon_H576.
% 55.30/55.40 apply (zenon_and_s _ _ zenon_H576). zenon_intro zenon_H578. zenon_intro zenon_H577.
% 55.30/55.40 apply (zenon_and_s _ _ zenon_H577). zenon_intro zenon_H57a. zenon_intro zenon_H579.
% 55.30/55.40 apply (zenon_and_s _ _ zenon_H579). zenon_intro zenon_H57c. zenon_intro zenon_H57b.
% 55.30/55.40 apply (zenon_and_s _ _ zenon_H57b). zenon_intro zenon_H23b. zenon_intro zenon_H57d.
% 55.30/55.40 apply (zenon_and_s _ _ zenon_H57d). zenon_intro zenon_H510. zenon_intro zenon_H57e.
% 55.30/55.40 apply (zenon_and_s _ _ zenon_H57e). zenon_intro zenon_H2e7. zenon_intro zenon_H57f.
% 55.30/55.40 apply (zenon_and_s _ _ zenon_H57f). zenon_intro zenon_H2c9. zenon_intro zenon_H580.
% 55.30/55.40 apply (zenon_and_s _ _ zenon_H580). zenon_intro zenon_H192. zenon_intro zenon_H581.
% 55.30/55.40 apply (zenon_and_s _ _ zenon_H581). zenon_intro zenon_H583. zenon_intro zenon_H582.
% 55.30/55.40 apply (zenon_and_s _ _ zenon_H582). zenon_intro zenon_H355. zenon_intro zenon_H584.
% 55.30/55.40 apply (zenon_and_s _ _ zenon_H584). zenon_intro zenon_H2fd. zenon_intro zenon_H585.
% 55.30/55.40 apply (zenon_and_s _ _ zenon_H585). zenon_intro zenon_H186. zenon_intro zenon_H586.
% 55.30/55.40 apply (zenon_and_s _ _ zenon_H586). zenon_intro zenon_H32e. zenon_intro zenon_H587.
% 55.30/55.40 apply (zenon_and_s _ _ zenon_H587). zenon_intro zenon_H1be. zenon_intro zenon_H32b.
% 55.30/55.40 apply (zenon_and_s _ _ ax3). zenon_intro zenon_H589. zenon_intro zenon_H588.
% 55.30/55.40 apply (zenon_and_s _ _ zenon_H588). zenon_intro zenon_H289. zenon_intro zenon_H58a.
% 55.30/55.40 apply (zenon_and_s _ _ zenon_H58a). zenon_intro zenon_H58c. zenon_intro zenon_H58b.
% 55.30/55.40 apply (zenon_and_s _ _ zenon_H58b). zenon_intro zenon_H489. zenon_intro zenon_H58d.
% 55.30/55.40 apply (zenon_and_s _ _ zenon_H58d). zenon_intro zenon_H4a. zenon_intro zenon_H58e.
% 55.30/55.40 apply (zenon_and_s _ _ zenon_H58e). zenon_intro zenon_H590. zenon_intro zenon_H58f.
% 55.30/55.40 apply (zenon_and_s _ _ zenon_H58f). zenon_intro zenon_H40f. zenon_intro zenon_H591.
% 55.30/55.40 apply (zenon_and_s _ _ zenon_H591). zenon_intro zenon_H593. zenon_intro zenon_H592.
% 55.30/55.40 apply (zenon_and_s _ _ zenon_H592). zenon_intro zenon_H595. zenon_intro zenon_H594.
% 55.30/55.40 apply (zenon_and_s _ _ zenon_H594). zenon_intro zenon_H3dc. zenon_intro zenon_H596.
% 55.30/55.40 apply (zenon_and_s _ _ zenon_H596). zenon_intro zenon_H100. zenon_intro zenon_H597.
% 55.30/55.40 apply (zenon_and_s _ _ zenon_H597). zenon_intro zenon_H3ee. zenon_intro zenon_H598.
% 55.30/55.40 apply (zenon_and_s _ _ zenon_H598). zenon_intro zenon_H59a. zenon_intro zenon_H599.
% 55.30/55.40 apply (zenon_and_s _ _ zenon_H599). zenon_intro zenon_H3b1. zenon_intro zenon_H59b.
% 55.30/55.40 apply (zenon_and_s _ _ zenon_H59b). zenon_intro zenon_H3f4. zenon_intro zenon_H382.
% 55.30/55.40 apply (zenon_and_s _ _ ax4). zenon_intro zenon_Hac. zenon_intro zenon_H59c.
% 55.30/55.40 apply (zenon_and_s _ _ zenon_H59c). zenon_intro zenon_H4e6. zenon_intro zenon_H59d.
% 55.30/55.40 apply (zenon_and_s _ _ zenon_H59d). zenon_intro zenon_H59f. zenon_intro zenon_H59e.
% 55.30/55.40 apply (zenon_and_s _ _ zenon_H59e). zenon_intro zenon_H49e. zenon_intro zenon_H5a0.
% 55.30/55.40 apply (zenon_and_s _ _ zenon_H5a0). zenon_intro zenon_H5a2. zenon_intro zenon_H5a1.
% 55.30/55.40 apply (zenon_and_s _ _ zenon_H5a1). zenon_intro zenon_Hb7. zenon_intro zenon_H5a3.
% 55.30/55.40 apply (zenon_and_s _ _ zenon_H5a3). zenon_intro zenon_Ha5. zenon_intro zenon_H5a4.
% 55.30/55.40 apply (zenon_and_s _ _ zenon_H5a4). zenon_intro zenon_H5a6. zenon_intro zenon_H5a5.
% 55.30/55.40 apply (zenon_and_s _ _ zenon_H5a5). zenon_intro zenon_H5a8. zenon_intro zenon_H5a7.
% 55.30/55.40 apply (zenon_and_s _ _ zenon_H5a7). zenon_intro zenon_H5aa. zenon_intro zenon_H5a9.
% 55.30/55.40 apply (zenon_and_s _ _ zenon_H5a9). zenon_intro zenon_H5ac. zenon_intro zenon_H5ab.
% 55.30/55.40 apply (zenon_and_s _ _ zenon_H5ab). zenon_intro zenon_H28c. zenon_intro zenon_H5ad.
% 55.30/55.40 apply (zenon_and_s _ _ zenon_H5ad). zenon_intro zenon_H4ae. zenon_intro zenon_H5ae.
% 55.30/55.40 apply (zenon_and_s _ _ zenon_H5ae). zenon_intro zenon_H3fd. zenon_intro zenon_H5af.
% 55.30/55.40 apply (zenon_and_s _ _ zenon_H5af). zenon_intro zenon_H399. zenon_intro zenon_H5b0.
% 55.30/55.40 apply (zenon_and_s _ _ zenon_H5b0). zenon_intro zenon_H3bd. zenon_intro zenon_H5b1.
% 55.30/55.40 apply (zenon_and_s _ _ zenon_H5b1). zenon_intro zenon_H11e. zenon_intro zenon_H5b2.
% 55.30/55.40 apply (zenon_and_s _ _ zenon_H5b2). zenon_intro zenon_H84. zenon_intro zenon_H5b3.
% 55.30/55.40 apply (zenon_and_s _ _ zenon_H5b3). zenon_intro zenon_H50d. zenon_intro zenon_H5b4.
% 55.30/55.40 apply (zenon_and_s _ _ zenon_H5b4). zenon_intro zenon_H5b6. zenon_intro zenon_H5b5.
% 55.30/55.40 apply (zenon_and_s _ _ zenon_H5b5). zenon_intro zenon_Hf1. zenon_intro zenon_H5b7.
% 55.30/55.40 apply (zenon_and_s _ _ zenon_H5b7). zenon_intro zenon_H5b9. zenon_intro zenon_H5b8.
% 55.30/55.40 apply (zenon_and_s _ _ zenon_H5b8). zenon_intro zenon_H3f1. zenon_intro zenon_H5ba.
% 55.30/55.40 apply (zenon_and_s _ _ zenon_H5ba). zenon_intro zenon_H43a. zenon_intro zenon_H5bb.
% 55.30/55.40 apply (zenon_and_s _ _ zenon_H5bb). zenon_intro zenon_H545. zenon_intro zenon_H5bc.
% 55.30/55.40 apply (zenon_and_s _ _ zenon_H5bc). zenon_intro zenon_H5be. zenon_intro zenon_H5bd.
% 55.30/55.40 apply (zenon_and_s _ _ zenon_H5bd). zenon_intro zenon_H433. zenon_intro zenon_H5bf.
% 55.30/55.40 apply (zenon_and_s _ _ zenon_H5bf). zenon_intro zenon_H3e4. zenon_intro zenon_H5c0.
% 55.30/55.40 apply (zenon_and_s _ _ zenon_H5c0). zenon_intro zenon_H74. zenon_intro zenon_H5c1.
% 55.30/55.40 apply (zenon_and_s _ _ zenon_H5c1). zenon_intro zenon_H47e. zenon_intro zenon_H5c2.
% 55.30/55.40 apply (zenon_and_s _ _ zenon_H5c2). zenon_intro zenon_H3b7. zenon_intro zenon_H3b4.
% 55.30/55.40 apply (zenon_and_s _ _ ax5). zenon_intro zenon_H15a. zenon_intro zenon_H5c3.
% 55.30/55.40 apply (zenon_and_s _ _ zenon_H5c3). zenon_intro zenon_H2ad. zenon_intro zenon_H5c4.
% 55.30/55.40 apply (zenon_and_s _ _ zenon_H5c4). zenon_intro zenon_H1b1. zenon_intro zenon_H5c5.
% 55.30/55.40 apply (zenon_and_s _ _ zenon_H5c5). zenon_intro zenon_H2a5. zenon_intro zenon_H5c6.
% 55.30/55.40 apply (zenon_and_s _ _ zenon_H5c6). zenon_intro zenon_H154. zenon_intro zenon_H5c7.
% 55.30/55.40 apply (zenon_and_s _ _ zenon_H5c7). zenon_intro zenon_H21a. zenon_intro zenon_H5c8.
% 55.30/55.40 apply (zenon_and_s _ _ zenon_H5c8). zenon_intro zenon_H19d. zenon_intro zenon_H5c9.
% 55.30/55.40 apply (zenon_and_s _ _ zenon_H5c9). zenon_intro zenon_H204. zenon_intro zenon_H5ca.
% 55.30/55.40 apply (zenon_and_s _ _ zenon_H5ca). zenon_intro zenon_H1fd. zenon_intro zenon_H5cb.
% 55.30/55.40 apply (zenon_and_s _ _ zenon_H5cb). zenon_intro zenon_H2d9. zenon_intro zenon_H5cc.
% 55.30/55.40 apply (zenon_and_s _ _ zenon_H5cc). zenon_intro zenon_H18a. zenon_intro zenon_H5cd.
% 55.30/55.40 apply (zenon_and_s _ _ zenon_H5cd). zenon_intro zenon_H2f6. zenon_intro zenon_H5ce.
% 55.30/55.40 apply (zenon_and_s _ _ zenon_H5ce). zenon_intro zenon_H358. zenon_intro zenon_H5cf.
% 55.30/55.40 apply (zenon_and_s _ _ zenon_H5cf). zenon_intro zenon_H1de. zenon_intro zenon_H5d0.
% 55.30/55.40 apply (zenon_and_s _ _ zenon_H5d0). zenon_intro zenon_H18e. zenon_intro zenon_H5d1.
% 55.30/55.40 apply (zenon_and_s _ _ zenon_H5d1). zenon_intro zenon_H1cc. zenon_intro zenon_H5d2.
% 55.30/55.40 apply (zenon_and_s _ _ zenon_H5d2). zenon_intro zenon_H1f4. zenon_intro zenon_H5d3.
% 55.30/55.40 apply (zenon_and_s _ _ zenon_H5d3). zenon_intro zenon_H1d8. zenon_intro zenon_H5d4.
% 55.30/55.40 apply (zenon_and_s _ _ zenon_H5d4). zenon_intro zenon_H30e. zenon_intro zenon_H5d5.
% 55.30/55.40 apply (zenon_and_s _ _ zenon_H5d5). zenon_intro zenon_H2b9. zenon_intro zenon_H5d6.
% 55.30/55.40 apply (zenon_and_s _ _ zenon_H5d6). zenon_intro zenon_H5d8. zenon_intro zenon_H5d7.
% 55.30/55.40 apply (zenon_and_s _ _ zenon_H5d7). zenon_intro zenon_H2c0. zenon_intro zenon_H5d9.
% 55.30/55.40 apply (zenon_and_s _ _ zenon_H5d9). zenon_intro zenon_H360. zenon_intro zenon_H5da.
% 55.30/55.40 apply (zenon_and_s _ _ zenon_H5da). zenon_intro zenon_H2fb. zenon_intro zenon_H5db.
% 55.30/55.40 apply (zenon_and_s _ _ zenon_H5db). zenon_intro zenon_H17. zenon_intro zenon_H5dc.
% 55.30/55.40 apply (zenon_and_s _ _ zenon_H5dc). zenon_intro zenon_H1e. zenon_intro zenon_H5dd.
% 55.30/55.40 apply (zenon_and_s _ _ zenon_H5dd). zenon_intro zenon_H25. zenon_intro zenon_H5de.
% 55.30/55.40 apply (zenon_and_s _ _ zenon_H5de). zenon_intro zenon_H5e0. zenon_intro zenon_H5df.
% 55.30/55.40 apply (zenon_and_s _ _ zenon_H5df). zenon_intro zenon_H485. zenon_intro zenon_H5e1.
% 55.30/55.40 apply (zenon_and_s _ _ zenon_H5e1). zenon_intro zenon_H5e3. zenon_intro zenon_H5e2.
% 55.30/55.40 apply (zenon_and_s _ _ zenon_H5e2). zenon_intro zenon_H14b. zenon_intro zenon_H5e4.
% 55.30/55.40 apply (zenon_and_s _ _ zenon_H5e4). zenon_intro zenon_H1a9. zenon_intro zenon_H5e5.
% 55.30/55.40 apply (zenon_and_s _ _ zenon_H5e5). zenon_intro zenon_H5e7. zenon_intro zenon_H5e6.
% 55.30/55.40 apply (zenon_and_s _ _ zenon_H5e6). zenon_intro zenon_H1e8. zenon_intro zenon_H5e8.
% 55.30/55.40 apply (zenon_and_s _ _ zenon_H5e8). zenon_intro zenon_H301. zenon_intro zenon_H5e9.
% 55.30/55.40 apply (zenon_and_s _ _ zenon_H5e9). zenon_intro zenon_H1ed. zenon_intro zenon_H5ea.
% 55.30/55.40 apply (zenon_and_s _ _ zenon_H5ea). zenon_intro zenon_H2e2. zenon_intro zenon_H5eb.
% 55.30/55.40 apply (zenon_and_s _ _ zenon_H5eb). zenon_intro zenon_H2a3. zenon_intro zenon_H5ec.
% 55.30/55.40 apply (zenon_and_s _ _ zenon_H5ec). zenon_intro zenon_H2e6. zenon_intro zenon_H5ed.
% 55.30/55.40 apply (zenon_and_s _ _ zenon_H5ed). zenon_intro zenon_H321. zenon_intro zenon_H5ee.
% 55.30/55.40 apply (zenon_and_s _ _ zenon_H5ee). zenon_intro zenon_H2d1. zenon_intro zenon_H5ef.
% 55.30/55.40 apply (zenon_and_s _ _ zenon_H5ef). zenon_intro zenon_H5f1. zenon_intro zenon_H5f0.
% 55.30/55.40 apply (zenon_and_s _ _ zenon_H5f0). zenon_intro zenon_H172. zenon_intro zenon_H5f2.
% 55.30/55.40 apply (zenon_and_s _ _ zenon_H5f2). zenon_intro zenon_H179. zenon_intro zenon_H5f3.
% 55.30/55.40 apply (zenon_and_s _ _ zenon_H5f3). zenon_intro zenon_H180. zenon_intro zenon_H5f4.
% 55.30/55.40 apply (zenon_and_s _ _ zenon_H5f4). zenon_intro zenon_H345. zenon_intro zenon_H5f5.
% 55.30/55.40 apply (zenon_and_s _ _ zenon_H5f5). zenon_intro zenon_H35d. zenon_intro zenon_H5f6.
% 55.30/55.40 apply (zenon_and_s _ _ ax6). zenon_intro zenon_H45. zenon_intro zenon_H5f7.
% 55.30/55.40 apply (zenon_and_s _ _ zenon_H5f7). zenon_intro zenon_H11f. zenon_intro zenon_H5f8.
% 55.30/55.40 apply (zenon_and_s _ _ zenon_H5f8). zenon_intro zenon_H55. zenon_intro zenon_H5f9.
% 55.30/55.40 apply (zenon_and_s _ _ zenon_H5f9). zenon_intro zenon_H498. zenon_intro zenon_H5fa.
% 55.30/55.40 apply (zenon_and_s _ _ zenon_H5fa). zenon_intro zenon_H3e. zenon_intro zenon_H5fb.
% 55.30/55.40 apply (zenon_and_s _ _ zenon_H5fb). zenon_intro zenon_Hb0. zenon_intro zenon_H5fc.
% 55.30/55.40 apply (zenon_and_s _ _ zenon_H5fc). zenon_intro zenon_H8d. zenon_intro zenon_H5fd.
% 55.30/55.40 apply (zenon_and_s _ _ zenon_H5fd). zenon_intro zenon_H286. zenon_intro zenon_H5fe.
% 55.30/55.40 apply (zenon_and_s _ _ zenon_H5fe). zenon_intro zenon_H282. zenon_intro zenon_H5ff.
% 55.30/55.40 apply (zenon_and_s _ _ zenon_H5ff). zenon_intro zenon_H110. zenon_intro zenon_H600.
% 55.30/55.40 apply (zenon_and_s _ _ zenon_H600). zenon_intro zenon_H39d. zenon_intro zenon_H601.
% 55.30/55.40 apply (zenon_and_s _ _ zenon_H601). zenon_intro zenon_H3c5. zenon_intro zenon_H602.
% 55.30/55.40 apply (zenon_and_s _ _ zenon_H602). zenon_intro zenon_H437. zenon_intro zenon_H603.
% 55.30/55.40 apply (zenon_and_s _ _ zenon_H603). zenon_intro zenon_H605. zenon_intro zenon_H604.
% 55.30/55.40 apply (zenon_and_s _ _ zenon_H604). zenon_intro zenon_H3cb. zenon_intro zenon_H606.
% 55.30/55.40 apply (zenon_and_s _ _ zenon_H606). zenon_intro zenon_H40c. zenon_intro zenon_H607.
% 55.30/55.40 apply (zenon_and_s _ _ zenon_H607). zenon_intro zenon_H38f. zenon_intro zenon_H608.
% 55.30/55.40 apply (zenon_and_s _ _ zenon_H608). zenon_intro zenon_Hfc. zenon_intro zenon_H609.
% 55.30/55.40 apply (zenon_and_s _ _ zenon_H609). zenon_intro zenon_H3a8. zenon_intro zenon_H60a.
% 55.30/55.40 apply (zenon_and_s _ _ zenon_H60a). zenon_intro zenon_H116. zenon_intro zenon_H60b.
% 55.30/55.40 apply (zenon_and_s _ _ zenon_H60b). zenon_intro zenon_H60d. zenon_intro zenon_H60c.
% 55.30/55.40 apply (zenon_and_s _ _ zenon_H60c). zenon_intro zenon_H394. zenon_intro zenon_H60e.
% 55.30/55.40 apply (zenon_and_s _ _ zenon_H60e). zenon_intro zenon_H440. zenon_intro zenon_H60f.
% 55.30/55.40 apply (zenon_and_s _ _ zenon_H60f). zenon_intro zenon_H3d9. zenon_intro zenon_H610.
% 55.30/55.40 apply (zenon_and_s _ _ zenon_H610). zenon_intro zenon_H93. zenon_intro zenon_H611.
% 55.30/55.40 apply (zenon_and_s _ _ zenon_H611). zenon_intro zenon_H98. zenon_intro zenon_H612.
% 55.30/55.40 apply (zenon_and_s _ _ zenon_H612). zenon_intro zenon_H9f. zenon_intro zenon_H613.
% 55.30/55.40 apply (zenon_and_s _ _ zenon_H613). zenon_intro zenon_H615. zenon_intro zenon_H614.
% 55.30/55.40 apply (zenon_and_s _ _ zenon_H614). zenon_intro zenon_H3c2. zenon_intro zenon_H616.
% 55.30/55.40 apply (zenon_and_s _ _ zenon_H616). zenon_intro zenon_H618. zenon_intro zenon_H617.
% 55.30/55.40 apply (zenon_and_s _ _ zenon_H617). zenon_intro zenon_H32. zenon_intro zenon_H619.
% 55.30/55.40 apply (zenon_and_s _ _ zenon_H619). zenon_intro zenon_Hc5. zenon_intro zenon_H61a.
% 55.30/55.40 apply (zenon_and_s _ _ zenon_H61a). zenon_intro zenon_Hca. zenon_intro zenon_H61b.
% 55.30/55.40 apply (zenon_and_s _ _ zenon_H61b). zenon_intro zenon_H7a. zenon_intro zenon_H61c.
% 55.30/55.40 apply (zenon_and_s _ _ zenon_H61c). zenon_intro zenon_H61e. zenon_intro zenon_H61d.
% 55.30/55.40 apply (zenon_and_s _ _ zenon_H61d). zenon_intro zenon_H47a. zenon_intro zenon_H61f.
% 55.30/55.40 apply (zenon_and_s _ _ zenon_H61f). zenon_intro zenon_H406. zenon_intro zenon_H620.
% 55.30/55.40 apply (zenon_and_s _ _ zenon_H620). zenon_intro zenon_H37d. zenon_intro zenon_H621.
% 55.30/55.40 apply (zenon_and_s _ _ zenon_H621). zenon_intro zenon_H517. zenon_intro zenon_H622.
% 55.30/55.40 apply (zenon_and_s _ _ zenon_H622). zenon_intro zenon_H409. zenon_intro zenon_H623.
% 55.30/55.40 apply (zenon_and_s _ _ zenon_H623). zenon_intro zenon_H625. zenon_intro zenon_H624.
% 55.30/55.40 apply (zenon_and_s _ _ zenon_H624). zenon_intro zenon_H47c. zenon_intro zenon_H626.
% 55.30/55.40 apply (zenon_and_s _ _ zenon_H626). zenon_intro zenon_H60. zenon_intro zenon_H627.
% 55.30/55.40 apply (zenon_and_s _ _ zenon_H627). zenon_intro zenon_H67. zenon_intro zenon_H628.
% 55.30/55.40 apply (zenon_and_s _ _ zenon_H628). zenon_intro zenon_H6e. zenon_intro zenon_H629.
% 55.30/55.40 apply (zenon_and_s _ _ zenon_H629). zenon_intro zenon_H423. zenon_intro zenon_H62a.
% 55.30/55.40 apply (zenon_and_s _ _ zenon_H62a). zenon_intro zenon_H3af. zenon_intro zenon_H62b.
% 55.30/55.40 apply (zenon_and_s _ _ ax7). zenon_intro zenon_H62d. zenon_intro zenon_H62c.
% 55.30/55.40 apply (zenon_and_s _ _ zenon_H62c). zenon_intro zenon_H16c. zenon_intro zenon_H62e.
% 55.30/55.40 apply (zenon_and_s _ _ zenon_H62e). zenon_intro zenon_H630. zenon_intro zenon_H62f.
% 55.30/55.40 apply (zenon_and_s _ _ zenon_H62f). zenon_intro zenon_H632. zenon_intro zenon_H631.
% 55.30/55.40 apply (zenon_and_s _ _ zenon_H631). zenon_intro zenon_H633. zenon_intro zenon_H236.
% 55.30/55.40 apply (zenon_and_s _ _ ax8). zenon_intro zenon_H635. zenon_intro zenon_H634.
% 55.30/55.40 apply (zenon_and_s _ _ zenon_H634). zenon_intro zenon_H4e2. zenon_intro zenon_H636.
% 55.30/55.40 apply (zenon_and_s _ _ zenon_H636). zenon_intro zenon_H638. zenon_intro zenon_H637.
% 55.30/55.40 apply (zenon_and_s _ _ zenon_H637). zenon_intro zenon_H27e. zenon_intro zenon_H639.
% 55.30/55.40 apply (zenon_and_s _ _ zenon_H639). zenon_intro zenon_H63a. zenon_intro zenon_Hec.
% 55.30/55.40 apply (zenon_and_s _ _ ax10). zenon_intro zenon_H36e. zenon_intro zenon_H245.
% 55.30/55.40 apply (zenon_and_s _ _ ax11). zenon_intro zenon_H63b. zenon_intro zenon_H128.
% 55.30/55.40 apply (zenon_and_s _ _ ax12). zenon_intro zenon_H13. zenon_intro zenon_H63c.
% 55.30/55.40 apply (zenon_and_s _ _ zenon_H63c). zenon_intro zenon_H155. zenon_intro zenon_H15.
% 55.30/55.40 apply (zenon_and_s _ _ ax13). zenon_intro zenon_H33. zenon_intro zenon_H63d.
% 55.30/55.40 apply (zenon_and_s _ _ zenon_H63d). zenon_intro zenon_H3f. zenon_intro zenon_H3b.
% 55.30/55.40 apply (zenon_and_s _ _ ax15). zenon_intro zenon_H270. zenon_intro zenon_H63e.
% 55.30/55.40 apply (zenon_and_s _ _ zenon_H63e). zenon_intro zenon_H26c. zenon_intro zenon_H63f.
% 55.30/55.40 apply (zenon_and_s _ _ zenon_H63f). zenon_intro zenon_H44f. zenon_intro zenon_H461.
% 55.30/55.40 apply (zenon_notor_s _ _ zenon_G). zenon_intro zenon_H641. zenon_intro zenon_H640.
% 55.30/55.40 apply (zenon_notor_s _ _ zenon_H640). zenon_intro zenon_H643. zenon_intro zenon_H642.
% 55.30/55.40 apply (zenon_notand_s _ _ zenon_H643); [ zenon_intro zenon_H645 | zenon_intro zenon_H644 ].
% 55.30/55.40 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_H1a3 | zenon_intro zenon_H1a2 ].
% 55.30/55.40 cut (((h2 (e13)) = (op2 (op2 (e21) (e21)) (op2 (e21) (e21)))) = ((h2 (op1 (e10) (e10))) = (op2 (h2 (e10)) (h2 (e10))))).
% 55.30/55.40 intro zenon_D_pnotp.
% 55.30/55.40 apply zenon_H645.
% 55.30/55.40 rewrite <- zenon_D_pnotp.
% 55.30/55.40 exact zenon_H461.
% 55.30/55.40 cut (((op2 (op2 (e21) (e21)) (op2 (e21) (e21))) = (op2 (h2 (e10)) (h2 (e10))))); [idtac | apply NNPP; zenon_intro zenon_H646].
% 55.30/55.40 cut (((h2 (e13)) = (h2 (op1 (e10) (e10))))); [idtac | apply NNPP; zenon_intro zenon_H647].
% 55.30/55.40 congruence.
% 55.30/55.40 elim (classic ((h2 (op1 (e10) (e10))) = (h2 (op1 (e10) (e10))))); [ zenon_intro zenon_H648 | zenon_intro zenon_H649 ].
% 55.30/55.40 cut (((h2 (op1 (e10) (e10))) = (h2 (op1 (e10) (e10)))) = ((h2 (e13)) = (h2 (op1 (e10) (e10))))).
% 55.30/55.40 intro zenon_D_pnotp.
% 55.30/55.40 apply zenon_H647.
% 55.30/55.40 rewrite <- zenon_D_pnotp.
% 55.30/55.40 exact zenon_H648.
% 55.30/55.40 cut (((h2 (op1 (e10) (e10))) = (h2 (op1 (e10) (e10))))); [idtac | apply NNPP; zenon_intro zenon_H649].
% 55.30/55.40 cut (((h2 (op1 (e10) (e10))) = (h2 (e13)))); [idtac | apply NNPP; zenon_intro zenon_H64a].
% 55.30/55.40 congruence.
% 55.30/55.40 cut (((op1 (e10) (e10)) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H1a1].
% 55.30/55.40 congruence.
% 55.30/55.40 exact (zenon_H1a1 zenon_H1a3).
% 55.30/55.40 apply zenon_H649. apply refl_equal.
% 55.30/55.40 apply zenon_H649. apply refl_equal.
% 55.30/55.40 cut (((op2 (e21) (e21)) = (h2 (e10)))); [idtac | apply NNPP; zenon_intro zenon_H520].
% 55.30/55.40 cut (((op2 (e21) (e21)) = (h2 (e10)))); [idtac | apply NNPP; zenon_intro zenon_H520].
% 55.30/55.40 congruence.
% 55.30/55.40 apply zenon_H520. apply sym_equal. exact zenon_H26c.
% 55.30/55.40 apply zenon_H520. apply sym_equal. exact zenon_H26c.
% 55.30/55.40 apply (zenon_or_s _ _ zenon_H1a2); [ zenon_intro zenon_H16 | zenon_intro zenon_H1a4 ].
% 55.30/55.40 apply (zenon_L2_); trivial.
% 55.30/55.40 apply (zenon_or_s _ _ zenon_H1a4); [ zenon_intro zenon_H1d | zenon_intro zenon_H24 ].
% 55.30/55.40 apply (zenon_L3_); trivial.
% 55.30/55.40 apply (zenon_L4_); trivial.
% 55.30/55.40 apply (zenon_notand_s _ _ zenon_H644); [ zenon_intro zenon_H26f | zenon_intro zenon_H64b ].
% 55.30/55.40 apply (zenon_or_s _ _ zenon_H63b); [ zenon_intro zenon_H127 | zenon_intro zenon_H64c ].
% 55.30/55.40 apply (zenon_L58_); trivial.
% 55.30/55.40 apply (zenon_or_s _ _ zenon_H64c); [ zenon_intro zenon_H64e | zenon_intro zenon_H64d ].
% 55.30/55.40 apply (zenon_and_s _ _ zenon_H64e). zenon_intro zenon_H514. zenon_intro zenon_H64f.
% 55.30/55.40 apply (zenon_and_s _ _ zenon_H64f). zenon_intro zenon_H499. zenon_intro zenon_H650.
% 55.30/55.40 apply (zenon_and_s _ _ zenon_H650). zenon_intro zenon_H481. zenon_intro zenon_H651.
% 55.30/55.40 apply (zenon_and_s _ _ zenon_H651). zenon_intro zenon_H395. zenon_intro zenon_H652.
% 55.30/55.40 apply (zenon_and_s _ _ zenon_H652). zenon_intro zenon_H654. zenon_intro zenon_H653.
% 55.30/55.40 apply (zenon_and_s _ _ zenon_H653). zenon_intro zenon_H656. zenon_intro zenon_H655.
% 55.30/55.40 apply (zenon_and_s _ _ zenon_H655). zenon_intro zenon_H3c0. zenon_intro zenon_H3c1.
% 55.30/55.40 apply (zenon_or_s _ _ zenon_H656); [ zenon_intro zenon_H28d | zenon_intro zenon_Hc3 ].
% 55.30/55.40 apply (zenon_or_s _ _ zenon_H3c0); [ zenon_intro zenon_H101 | zenon_intro zenon_Hd3 ].
% 55.30/55.40 apply (zenon_or_s _ _ zenon_H3c1); [ zenon_intro zenon_H383 | zenon_intro zenon_He8 ].
% 55.30/55.40 apply (zenon_or_s _ _ zenon_H128); [ zenon_intro zenon_H2b | zenon_intro zenon_H134 ].
% 55.30/55.40 apply (zenon_L5_); trivial.
% 55.30/55.40 apply (zenon_or_s _ _ zenon_H134); [ zenon_intro zenon_H4f | zenon_intro zenon_H135 ].
% 55.30/55.40 apply (zenon_L12_); trivial.
% 55.30/55.40 apply (zenon_or_s _ _ zenon_H135); [ zenon_intro zenon_H77 | zenon_intro zenon_H136 ].
% 55.30/55.40 apply (zenon_L312_); trivial.
% 55.30/55.40 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_H89 | zenon_intro zenon_H137 ].
% 55.30/55.40 apply (zenon_L316_); trivial.
% 55.30/55.40 apply (zenon_or_s _ _ zenon_H137); [ zenon_intro zenon_Hb6 | zenon_intro zenon_H138 ].
% 55.30/55.40 apply (zenon_L320_); trivial.
% 55.30/55.40 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H139 ].
% 55.30/55.40 apply (zenon_L32_); trivial.
% 55.30/55.40 apply (zenon_or_s _ _ zenon_H139); [ zenon_intro zenon_Hc8 | zenon_intro zenon_H13a ].
% 55.30/55.40 apply (zenon_L35_); trivial.
% 55.30/55.40 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_Hcd | zenon_intro zenon_H13b ].
% 55.30/55.40 apply (zenon_L321_); trivial.
% 55.30/55.40 apply (zenon_or_s _ _ zenon_H13b); [ zenon_intro zenon_Hcf | zenon_intro zenon_H13c ].
% 55.30/55.40 apply (zenon_L38_); trivial.
% 55.30/55.40 apply (zenon_or_s _ _ zenon_H13c); [ zenon_intro zenon_Hd1 | zenon_intro zenon_H13d ].
% 55.30/55.40 apply (zenon_L39_); trivial.
% 55.30/55.40 apply (zenon_or_s _ _ zenon_H13d); [ zenon_intro zenon_Hd8 | zenon_intro zenon_H13e ].
% 55.30/55.40 apply (zenon_L41_); trivial.
% 55.30/55.40 apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_He0 | zenon_intro zenon_H13f ].
% 55.30/55.40 apply (zenon_L42_); trivial.
% 55.30/55.40 apply (zenon_or_s _ _ zenon_H13f); [ zenon_intro zenon_He3 | zenon_intro zenon_H140 ].
% 55.30/55.40 apply (zenon_L43_); trivial.
% 55.30/55.40 apply (zenon_or_s _ _ zenon_H140); [ zenon_intro zenon_He6 | zenon_intro zenon_H141 ].
% 55.30/55.40 apply (zenon_L44_); trivial.
% 55.30/55.40 apply (zenon_or_s _ _ zenon_H141); [ zenon_intro zenon_H142 | zenon_intro zenon_H108 ].
% 55.30/55.40 apply (zenon_L328_); trivial.
% 55.30/55.40 apply (zenon_L54_); trivial.
% 55.30/55.40 apply (zenon_or_s _ _ zenon_H128); [ zenon_intro zenon_H2b | zenon_intro zenon_H134 ].
% 55.30/55.40 apply (zenon_L5_); trivial.
% 55.30/55.40 apply (zenon_or_s _ _ zenon_H134); [ zenon_intro zenon_H4f | zenon_intro zenon_H135 ].
% 55.30/55.40 apply (zenon_L12_); trivial.
% 55.30/55.40 apply (zenon_or_s _ _ zenon_H135); [ zenon_intro zenon_H77 | zenon_intro zenon_H136 ].
% 55.30/55.40 apply (zenon_L312_); trivial.
% 55.30/55.40 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_H89 | zenon_intro zenon_H137 ].
% 55.30/55.40 apply (zenon_L329_); trivial.
% 55.30/55.40 apply (zenon_or_s _ _ zenon_H137); [ zenon_intro zenon_Hb6 | zenon_intro zenon_H138 ].
% 55.30/55.40 apply (zenon_L320_); trivial.
% 55.30/55.40 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H139 ].
% 55.30/55.40 apply (zenon_L32_); trivial.
% 55.30/55.40 apply (zenon_or_s _ _ zenon_H139); [ zenon_intro zenon_Hc8 | zenon_intro zenon_H13a ].
% 55.30/55.40 apply (zenon_L35_); trivial.
% 55.30/55.40 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_Hcd | zenon_intro zenon_H13b ].
% 55.30/55.40 apply (zenon_L331_); trivial.
% 55.30/55.40 apply (zenon_or_s _ _ zenon_H13b); [ zenon_intro zenon_Hcf | zenon_intro zenon_H13c ].
% 55.30/55.40 apply (zenon_L38_); trivial.
% 55.30/55.40 apply (zenon_or_s _ _ zenon_H13c); [ zenon_intro zenon_Hd1 | zenon_intro zenon_H13d ].
% 55.30/55.40 apply (zenon_L39_); trivial.
% 55.30/55.40 apply (zenon_or_s _ _ zenon_H13d); [ zenon_intro zenon_Hd8 | zenon_intro zenon_H13e ].
% 55.30/55.40 apply (zenon_L41_); trivial.
% 55.30/55.40 apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_He0 | zenon_intro zenon_H13f ].
% 55.30/55.40 apply (zenon_L42_); trivial.
% 55.30/55.40 apply (zenon_or_s _ _ zenon_H13f); [ zenon_intro zenon_He3 | zenon_intro zenon_H140 ].
% 55.30/55.40 apply (zenon_L43_); trivial.
% 55.30/55.40 apply (zenon_or_s _ _ zenon_H140); [ zenon_intro zenon_He6 | zenon_intro zenon_H141 ].
% 55.30/55.40 apply (zenon_L44_); trivial.
% 55.30/55.40 apply (zenon_or_s _ _ zenon_H141); [ zenon_intro zenon_H142 | zenon_intro zenon_H108 ].
% 55.30/55.40 apply (zenon_L328_); trivial.
% 55.30/55.40 apply (zenon_L54_); trivial.
% 55.30/55.40 apply (zenon_or_s _ _ zenon_H3c1); [ zenon_intro zenon_H383 | zenon_intro zenon_He8 ].
% 55.30/55.40 apply (zenon_or_s _ _ zenon_H128); [ zenon_intro zenon_H2b | zenon_intro zenon_H134 ].
% 55.30/55.40 apply (zenon_L5_); trivial.
% 55.30/55.40 apply (zenon_or_s _ _ zenon_H134); [ zenon_intro zenon_H4f | zenon_intro zenon_H135 ].
% 55.30/55.40 apply (zenon_L12_); trivial.
% 55.30/55.40 apply (zenon_or_s _ _ zenon_H135); [ zenon_intro zenon_H77 | zenon_intro zenon_H136 ].
% 55.30/55.40 apply (zenon_L334_); trivial.
% 55.30/55.40 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_H89 | zenon_intro zenon_H137 ].
% 55.30/55.40 apply (zenon_L316_); trivial.
% 55.30/55.40 apply (zenon_or_s _ _ zenon_H137); [ zenon_intro zenon_Hb6 | zenon_intro zenon_H138 ].
% 55.30/55.40 apply (zenon_L320_); trivial.
% 55.30/55.40 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H139 ].
% 55.30/55.40 apply (zenon_L32_); trivial.
% 55.30/55.40 apply (zenon_or_s _ _ zenon_H139); [ zenon_intro zenon_Hc8 | zenon_intro zenon_H13a ].
% 55.30/55.40 apply (zenon_L35_); trivial.
% 55.30/55.40 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_Hcd | zenon_intro zenon_H13b ].
% 55.30/55.40 apply (zenon_L321_); trivial.
% 55.30/55.40 apply (zenon_or_s _ _ zenon_H13b); [ zenon_intro zenon_Hcf | zenon_intro zenon_H13c ].
% 55.30/55.40 apply (zenon_L38_); trivial.
% 55.30/55.40 apply (zenon_or_s _ _ zenon_H13c); [ zenon_intro zenon_Hd1 | zenon_intro zenon_H13d ].
% 55.30/55.40 apply (zenon_L39_); trivial.
% 55.30/55.40 apply (zenon_or_s _ _ zenon_H13d); [ zenon_intro zenon_Hd8 | zenon_intro zenon_H13e ].
% 55.30/55.40 apply (zenon_L41_); trivial.
% 55.30/55.40 apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_He0 | zenon_intro zenon_H13f ].
% 55.30/55.40 apply (zenon_L42_); trivial.
% 55.30/55.40 apply (zenon_or_s _ _ zenon_H13f); [ zenon_intro zenon_He3 | zenon_intro zenon_H140 ].
% 55.30/55.40 apply (zenon_L43_); trivial.
% 55.30/55.40 apply (zenon_or_s _ _ zenon_H140); [ zenon_intro zenon_He6 | zenon_intro zenon_H141 ].
% 55.30/55.40 apply (zenon_L44_); trivial.
% 55.30/55.40 apply (zenon_or_s _ _ zenon_H141); [ zenon_intro zenon_H142 | zenon_intro zenon_H108 ].
% 55.30/55.40 apply (zenon_L328_); trivial.
% 55.30/55.40 apply (zenon_L54_); trivial.
% 55.30/55.40 apply (zenon_or_s _ _ zenon_H128); [ zenon_intro zenon_H2b | zenon_intro zenon_H134 ].
% 55.30/55.40 apply (zenon_L5_); trivial.
% 55.30/55.40 apply (zenon_or_s _ _ zenon_H134); [ zenon_intro zenon_H4f | zenon_intro zenon_H135 ].
% 55.30/55.40 apply (zenon_L12_); trivial.
% 55.30/55.40 apply (zenon_or_s _ _ zenon_H135); [ zenon_intro zenon_H77 | zenon_intro zenon_H136 ].
% 55.30/55.40 apply (zenon_L334_); trivial.
% 55.30/55.40 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_H89 | zenon_intro zenon_H137 ].
% 55.30/55.40 apply (zenon_L329_); trivial.
% 55.30/55.40 apply (zenon_or_s _ _ zenon_H137); [ zenon_intro zenon_Hb6 | zenon_intro zenon_H138 ].
% 55.30/55.40 apply (zenon_L320_); trivial.
% 55.30/55.40 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H139 ].
% 55.30/55.40 apply (zenon_L32_); trivial.
% 55.30/55.40 apply (zenon_or_s _ _ zenon_H139); [ zenon_intro zenon_Hc8 | zenon_intro zenon_H13a ].
% 55.30/55.40 apply (zenon_L35_); trivial.
% 55.30/55.40 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_Hcd | zenon_intro zenon_H13b ].
% 55.30/55.40 apply (zenon_L331_); trivial.
% 55.30/55.40 apply (zenon_or_s _ _ zenon_H13b); [ zenon_intro zenon_Hcf | zenon_intro zenon_H13c ].
% 55.30/55.40 apply (zenon_L38_); trivial.
% 55.30/55.40 apply (zenon_or_s _ _ zenon_H13c); [ zenon_intro zenon_Hd1 | zenon_intro zenon_H13d ].
% 55.30/55.40 apply (zenon_L39_); trivial.
% 55.30/55.40 apply (zenon_or_s _ _ zenon_H13d); [ zenon_intro zenon_Hd8 | zenon_intro zenon_H13e ].
% 55.30/55.40 apply (zenon_L41_); trivial.
% 55.30/55.40 apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_He0 | zenon_intro zenon_H13f ].
% 55.30/55.40 apply (zenon_L42_); trivial.
% 55.30/55.40 apply (zenon_or_s _ _ zenon_H13f); [ zenon_intro zenon_He3 | zenon_intro zenon_H140 ].
% 55.30/55.40 apply (zenon_L43_); trivial.
% 55.30/55.40 apply (zenon_or_s _ _ zenon_H140); [ zenon_intro zenon_He6 | zenon_intro zenon_H141 ].
% 55.30/55.40 apply (zenon_L44_); trivial.
% 55.30/55.40 apply (zenon_or_s _ _ zenon_H141); [ zenon_intro zenon_H142 | zenon_intro zenon_H108 ].
% 55.30/55.40 apply (zenon_L328_); trivial.
% 55.30/55.40 apply (zenon_L54_); trivial.
% 55.30/55.40 apply (zenon_L351_); trivial.
% 55.30/55.40 apply (zenon_or_s _ _ zenon_H64d); [ zenon_intro zenon_H413 | zenon_intro zenon_H443 ].
% 55.30/55.40 apply (zenon_L418_); trivial.
% 55.30/55.40 apply (zenon_L468_); trivial.
% 55.30/55.40 apply (zenon_notand_s _ _ zenon_H64b); [ zenon_intro zenon_H452 | zenon_intro zenon_H657 ].
% 55.30/55.40 apply (zenon_or_s _ _ zenon_H63b); [ zenon_intro zenon_H127 | zenon_intro zenon_H64c ].
% 55.30/55.40 apply (zenon_L58_); trivial.
% 55.30/55.40 apply (zenon_or_s _ _ zenon_H64c); [ zenon_intro zenon_H64e | zenon_intro zenon_H64d ].
% 55.30/55.40 apply (zenon_and_s _ _ zenon_H64e). zenon_intro zenon_H514. zenon_intro zenon_H64f.
% 55.30/55.40 apply (zenon_and_s _ _ zenon_H64f). zenon_intro zenon_H499. zenon_intro zenon_H650.
% 55.30/55.40 apply (zenon_and_s _ _ zenon_H650). zenon_intro zenon_H481. zenon_intro zenon_H651.
% 55.30/55.40 apply (zenon_and_s _ _ zenon_H651). zenon_intro zenon_H395. zenon_intro zenon_H652.
% 55.30/55.40 apply (zenon_and_s _ _ zenon_H652). zenon_intro zenon_H654. zenon_intro zenon_H653.
% 55.30/55.40 apply (zenon_and_s _ _ zenon_H653). zenon_intro zenon_H656. zenon_intro zenon_H655.
% 55.30/55.40 apply (zenon_and_s _ _ zenon_H655). zenon_intro zenon_H3c0. zenon_intro zenon_H3c1.
% 55.30/55.40 apply (zenon_or_s _ _ zenon_H3c1); [ zenon_intro zenon_H383 | zenon_intro zenon_He8 ].
% 55.30/55.40 apply (zenon_or_s _ _ zenon_H128); [ zenon_intro zenon_H2b | zenon_intro zenon_H134 ].
% 55.30/55.40 apply (zenon_L5_); trivial.
% 55.30/55.40 apply (zenon_or_s _ _ zenon_H134); [ zenon_intro zenon_H4f | zenon_intro zenon_H135 ].
% 55.30/55.40 apply (zenon_L12_); trivial.
% 55.30/55.40 apply (zenon_or_s _ _ zenon_H135); [ zenon_intro zenon_H77 | zenon_intro zenon_H136 ].
% 55.30/55.40 apply (zenon_L476_); trivial.
% 55.30/55.40 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_H89 | zenon_intro zenon_H137 ].
% 55.30/55.40 apply (zenon_L316_); trivial.
% 55.30/55.40 apply (zenon_or_s _ _ zenon_H137); [ zenon_intro zenon_Hb6 | zenon_intro zenon_H138 ].
% 55.30/55.40 apply (zenon_L481_); trivial.
% 55.30/55.40 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H139 ].
% 55.30/55.40 apply (zenon_L32_); trivial.
% 55.30/55.40 apply (zenon_or_s _ _ zenon_H139); [ zenon_intro zenon_Hc8 | zenon_intro zenon_H13a ].
% 55.30/55.40 apply (zenon_L35_); trivial.
% 55.30/55.40 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_Hcd | zenon_intro zenon_H13b ].
% 55.30/55.40 apply (zenon_L321_); trivial.
% 55.30/55.40 apply (zenon_or_s _ _ zenon_H13b); [ zenon_intro zenon_Hcf | zenon_intro zenon_H13c ].
% 55.30/55.40 apply (zenon_L38_); trivial.
% 55.30/55.40 apply (zenon_or_s _ _ zenon_H13c); [ zenon_intro zenon_Hd1 | zenon_intro zenon_H13d ].
% 55.30/55.40 apply (zenon_L39_); trivial.
% 55.30/55.40 apply (zenon_or_s _ _ zenon_H13d); [ zenon_intro zenon_Hd8 | zenon_intro zenon_H13e ].
% 55.30/55.40 apply (zenon_L41_); trivial.
% 55.30/55.40 apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_He0 | zenon_intro zenon_H13f ].
% 55.30/55.40 apply (zenon_L42_); trivial.
% 55.30/55.40 apply (zenon_or_s _ _ zenon_H13f); [ zenon_intro zenon_He3 | zenon_intro zenon_H140 ].
% 55.30/55.40 apply (zenon_L43_); trivial.
% 55.30/55.40 apply (zenon_or_s _ _ zenon_H140); [ zenon_intro zenon_He6 | zenon_intro zenon_H141 ].
% 55.30/55.40 apply (zenon_L44_); trivial.
% 55.30/55.40 apply (zenon_or_s _ _ zenon_H141); [ zenon_intro zenon_H142 | zenon_intro zenon_H108 ].
% 55.30/55.40 apply (zenon_L328_); trivial.
% 55.30/55.40 apply (zenon_L54_); trivial.
% 55.30/55.40 apply (zenon_or_s _ _ zenon_H128); [ zenon_intro zenon_H2b | zenon_intro zenon_H134 ].
% 55.30/55.40 apply (zenon_L5_); trivial.
% 55.30/55.40 apply (zenon_or_s _ _ zenon_H134); [ zenon_intro zenon_H4f | zenon_intro zenon_H135 ].
% 55.30/55.40 apply (zenon_L12_); trivial.
% 55.30/55.40 apply (zenon_or_s _ _ zenon_H135); [ zenon_intro zenon_H77 | zenon_intro zenon_H136 ].
% 55.30/55.40 apply (zenon_L476_); trivial.
% 55.30/55.40 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_H89 | zenon_intro zenon_H137 ].
% 55.30/55.40 apply (zenon_L329_); trivial.
% 55.30/55.40 apply (zenon_or_s _ _ zenon_H137); [ zenon_intro zenon_Hb6 | zenon_intro zenon_H138 ].
% 55.30/55.40 apply (zenon_L481_); trivial.
% 55.30/55.40 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H139 ].
% 55.30/55.40 apply (zenon_L32_); trivial.
% 55.30/55.40 apply (zenon_or_s _ _ zenon_H139); [ zenon_intro zenon_Hc8 | zenon_intro zenon_H13a ].
% 55.30/55.40 apply (zenon_L35_); trivial.
% 55.30/55.40 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_Hcd | zenon_intro zenon_H13b ].
% 55.30/55.40 apply (zenon_L331_); trivial.
% 55.30/55.40 apply (zenon_or_s _ _ zenon_H13b); [ zenon_intro zenon_Hcf | zenon_intro zenon_H13c ].
% 55.30/55.40 apply (zenon_L38_); trivial.
% 55.30/55.40 apply (zenon_or_s _ _ zenon_H13c); [ zenon_intro zenon_Hd1 | zenon_intro zenon_H13d ].
% 55.30/55.40 apply (zenon_L39_); trivial.
% 55.30/55.40 apply (zenon_or_s _ _ zenon_H13d); [ zenon_intro zenon_Hd8 | zenon_intro zenon_H13e ].
% 55.30/55.40 apply (zenon_L41_); trivial.
% 55.30/55.40 apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_He0 | zenon_intro zenon_H13f ].
% 55.30/55.40 apply (zenon_L42_); trivial.
% 55.30/55.40 apply (zenon_or_s _ _ zenon_H13f); [ zenon_intro zenon_He3 | zenon_intro zenon_H140 ].
% 55.30/55.40 apply (zenon_L43_); trivial.
% 55.30/55.40 apply (zenon_or_s _ _ zenon_H140); [ zenon_intro zenon_He6 | zenon_intro zenon_H141 ].
% 55.30/55.40 apply (zenon_L44_); trivial.
% 55.30/55.40 apply (zenon_or_s _ _ zenon_H141); [ zenon_intro zenon_H142 | zenon_intro zenon_H108 ].
% 55.30/55.40 apply (zenon_L328_); trivial.
% 55.30/55.40 apply (zenon_L54_); trivial.
% 55.30/55.40 apply (zenon_or_s _ _ zenon_H64d); [ zenon_intro zenon_H413 | zenon_intro zenon_H443 ].
% 55.30/55.40 apply (zenon_L418_); trivial.
% 55.30/55.40 apply (zenon_L468_); trivial.
% 55.30/55.40 apply (zenon_notand_s _ _ zenon_H657); [ zenon_intro zenon_H463 | zenon_intro zenon_H658 ].
% 55.30/55.40 apply (zenon_or_s _ _ zenon_H63b); [ zenon_intro zenon_H127 | zenon_intro zenon_H64c ].
% 55.30/55.40 apply (zenon_L58_); trivial.
% 55.30/55.40 apply (zenon_or_s _ _ zenon_H64c); [ zenon_intro zenon_H64e | zenon_intro zenon_H64d ].
% 55.30/55.40 apply (zenon_and_s _ _ zenon_H64e). zenon_intro zenon_H514. zenon_intro zenon_H64f.
% 55.30/55.40 apply (zenon_and_s _ _ zenon_H64f). zenon_intro zenon_H499. zenon_intro zenon_H650.
% 55.30/55.40 apply (zenon_and_s _ _ zenon_H650). zenon_intro zenon_H481. zenon_intro zenon_H651.
% 55.30/55.40 apply (zenon_and_s _ _ zenon_H651). zenon_intro zenon_H395. zenon_intro zenon_H652.
% 55.30/55.40 apply (zenon_and_s _ _ zenon_H652). zenon_intro zenon_H654. zenon_intro zenon_H653.
% 55.30/55.40 apply (zenon_and_s _ _ zenon_H653). zenon_intro zenon_H656. zenon_intro zenon_H655.
% 55.30/55.40 apply (zenon_and_s _ _ zenon_H655). zenon_intro zenon_H3c0. zenon_intro zenon_H3c1.
% 55.30/55.40 apply (zenon_or_s _ _ zenon_H656); [ zenon_intro zenon_H28d | zenon_intro zenon_Hc3 ].
% 55.30/55.40 apply (zenon_or_s _ _ zenon_H3c0); [ zenon_intro zenon_H101 | zenon_intro zenon_Hd3 ].
% 55.30/55.40 apply (zenon_or_s _ _ zenon_H3c1); [ zenon_intro zenon_H383 | zenon_intro zenon_He8 ].
% 55.30/55.40 apply (zenon_or_s _ _ zenon_H128); [ zenon_intro zenon_H2b | zenon_intro zenon_H134 ].
% 55.30/55.40 apply (zenon_L5_); trivial.
% 55.30/55.40 apply (zenon_or_s _ _ zenon_H134); [ zenon_intro zenon_H4f | zenon_intro zenon_H135 ].
% 55.30/55.40 apply (zenon_L12_); trivial.
% 55.30/55.40 apply (zenon_or_s _ _ zenon_H135); [ zenon_intro zenon_H77 | zenon_intro zenon_H136 ].
% 55.30/55.40 apply (zenon_L549_); trivial.
% 55.30/55.40 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_H89 | zenon_intro zenon_H137 ].
% 55.30/55.40 apply (zenon_L316_); trivial.
% 55.30/55.40 apply (zenon_or_s _ _ zenon_H137); [ zenon_intro zenon_Hb6 | zenon_intro zenon_H138 ].
% 55.30/55.40 apply (zenon_L551_); trivial.
% 55.30/55.40 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H139 ].
% 55.30/55.40 apply (zenon_L32_); trivial.
% 55.30/55.40 apply (zenon_or_s _ _ zenon_H139); [ zenon_intro zenon_Hc8 | zenon_intro zenon_H13a ].
% 55.30/55.40 apply (zenon_L35_); trivial.
% 55.30/55.40 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_Hcd | zenon_intro zenon_H13b ].
% 55.30/55.40 apply (zenon_L321_); trivial.
% 55.30/55.40 apply (zenon_or_s _ _ zenon_H13b); [ zenon_intro zenon_Hcf | zenon_intro zenon_H13c ].
% 55.30/55.40 apply (zenon_L38_); trivial.
% 55.30/55.40 apply (zenon_or_s _ _ zenon_H13c); [ zenon_intro zenon_Hd1 | zenon_intro zenon_H13d ].
% 55.30/55.40 apply (zenon_L39_); trivial.
% 55.30/55.40 apply (zenon_or_s _ _ zenon_H13d); [ zenon_intro zenon_Hd8 | zenon_intro zenon_H13e ].
% 55.30/55.40 apply (zenon_L41_); trivial.
% 55.30/55.40 apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_He0 | zenon_intro zenon_H13f ].
% 55.30/55.40 apply (zenon_L42_); trivial.
% 55.30/55.40 apply (zenon_or_s _ _ zenon_H13f); [ zenon_intro zenon_He3 | zenon_intro zenon_H140 ].
% 55.30/55.40 apply (zenon_L43_); trivial.
% 55.30/55.40 apply (zenon_or_s _ _ zenon_H140); [ zenon_intro zenon_He6 | zenon_intro zenon_H141 ].
% 55.30/55.40 apply (zenon_L44_); trivial.
% 55.30/55.40 apply (zenon_or_s _ _ zenon_H141); [ zenon_intro zenon_H142 | zenon_intro zenon_H108 ].
% 55.30/55.40 apply (zenon_L328_); trivial.
% 55.30/55.40 apply (zenon_L54_); trivial.
% 55.30/55.40 apply (zenon_or_s _ _ zenon_H128); [ zenon_intro zenon_H2b | zenon_intro zenon_H134 ].
% 55.30/55.40 apply (zenon_L5_); trivial.
% 55.30/55.40 apply (zenon_or_s _ _ zenon_H134); [ zenon_intro zenon_H4f | zenon_intro zenon_H135 ].
% 55.30/55.40 apply (zenon_L12_); trivial.
% 55.30/55.40 apply (zenon_or_s _ _ zenon_H135); [ zenon_intro zenon_H77 | zenon_intro zenon_H136 ].
% 55.30/55.40 apply (zenon_L549_); trivial.
% 55.30/55.40 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_H89 | zenon_intro zenon_H137 ].
% 55.30/55.40 apply (zenon_L329_); trivial.
% 55.30/55.40 apply (zenon_or_s _ _ zenon_H137); [ zenon_intro zenon_Hb6 | zenon_intro zenon_H138 ].
% 55.30/55.40 apply (zenon_L551_); trivial.
% 55.30/55.40 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H139 ].
% 55.30/55.40 apply (zenon_L32_); trivial.
% 55.30/55.40 apply (zenon_or_s _ _ zenon_H139); [ zenon_intro zenon_Hc8 | zenon_intro zenon_H13a ].
% 55.30/55.40 apply (zenon_L35_); trivial.
% 55.30/55.40 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_Hcd | zenon_intro zenon_H13b ].
% 55.30/55.40 apply (zenon_L331_); trivial.
% 55.30/55.40 apply (zenon_or_s _ _ zenon_H13b); [ zenon_intro zenon_Hcf | zenon_intro zenon_H13c ].
% 55.30/55.40 apply (zenon_L38_); trivial.
% 55.30/55.40 apply (zenon_or_s _ _ zenon_H13c); [ zenon_intro zenon_Hd1 | zenon_intro zenon_H13d ].
% 55.30/55.40 apply (zenon_L39_); trivial.
% 55.30/55.40 apply (zenon_or_s _ _ zenon_H13d); [ zenon_intro zenon_Hd8 | zenon_intro zenon_H13e ].
% 55.30/55.40 apply (zenon_L41_); trivial.
% 55.30/55.40 apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_He0 | zenon_intro zenon_H13f ].
% 55.30/55.40 apply (zenon_L42_); trivial.
% 55.30/55.40 apply (zenon_or_s _ _ zenon_H13f); [ zenon_intro zenon_He3 | zenon_intro zenon_H140 ].
% 55.30/55.40 apply (zenon_L43_); trivial.
% 55.30/55.40 apply (zenon_or_s _ _ zenon_H140); [ zenon_intro zenon_He6 | zenon_intro zenon_H141 ].
% 55.30/55.40 apply (zenon_L44_); trivial.
% 55.30/55.40 apply (zenon_or_s _ _ zenon_H141); [ zenon_intro zenon_H142 | zenon_intro zenon_H108 ].
% 55.30/55.40 apply (zenon_L328_); trivial.
% 55.30/55.40 apply (zenon_L54_); trivial.
% 55.30/55.40 apply (zenon_L546_); trivial.
% 55.30/55.40 apply (zenon_L351_); trivial.
% 55.30/55.40 apply (zenon_or_s _ _ zenon_H64d); [ zenon_intro zenon_H413 | zenon_intro zenon_H443 ].
% 55.30/55.40 apply (zenon_L418_); trivial.
% 55.30/55.40 apply (zenon_L468_); trivial.
% 55.30/55.40 apply (zenon_notand_s _ _ zenon_H658); [ zenon_intro zenon_H48c | zenon_intro zenon_H659 ].
% 55.30/55.40 apply (zenon_or_s _ _ zenon_H63b); [ zenon_intro zenon_H127 | zenon_intro zenon_H64c ].
% 55.30/55.40 apply (zenon_L58_); trivial.
% 55.30/55.40 apply (zenon_or_s _ _ zenon_H64c); [ zenon_intro zenon_H64e | zenon_intro zenon_H64d ].
% 55.30/55.40 apply (zenon_and_s _ _ zenon_H64e). zenon_intro zenon_H514. zenon_intro zenon_H64f.
% 55.30/55.40 apply (zenon_and_s _ _ zenon_H64f). zenon_intro zenon_H499. zenon_intro zenon_H650.
% 55.30/55.40 apply (zenon_and_s _ _ zenon_H650). zenon_intro zenon_H481. zenon_intro zenon_H651.
% 55.30/55.40 apply (zenon_and_s _ _ zenon_H651). zenon_intro zenon_H395. zenon_intro zenon_H652.
% 55.30/55.40 apply (zenon_and_s _ _ zenon_H652). zenon_intro zenon_H654. zenon_intro zenon_H653.
% 55.30/55.40 apply (zenon_or_s _ _ zenon_H654); [ zenon_intro zenon_H49d | zenon_intro zenon_H51 ].
% 55.30/55.40 apply (zenon_or_s _ _ zenon_H36e); [ zenon_intro zenon_H244 | zenon_intro zenon_H36f ].
% 55.30/55.40 apply (zenon_L126_); trivial.
% 55.30/55.40 apply (zenon_or_s _ _ zenon_H36f); [ zenon_intro zenon_H371 | zenon_intro zenon_H370 ].
% 55.30/55.40 apply (zenon_and_s _ _ zenon_H371). zenon_intro zenon_H292. zenon_intro zenon_H372.
% 55.30/55.40 apply (zenon_and_s _ _ zenon_H372). zenon_intro zenon_H2a6. zenon_intro zenon_H373.
% 55.30/55.40 apply (zenon_and_s _ _ zenon_H373). zenon_intro zenon_H375. zenon_intro zenon_H374.
% 55.30/55.40 apply (zenon_and_s _ _ zenon_H374). zenon_intro zenon_H29e. zenon_intro zenon_H376.
% 55.30/55.40 apply (zenon_and_s _ _ zenon_H376). zenon_intro zenon_H378. zenon_intro zenon_H377.
% 55.30/55.40 apply (zenon_and_s _ _ zenon_H377). zenon_intro zenon_H37a. zenon_intro zenon_H379.
% 55.30/55.40 apply (zenon_and_s _ _ zenon_H379). zenon_intro zenon_H37c. zenon_intro zenon_H37b.
% 55.30/55.40 apply (zenon_or_s _ _ zenon_H37a); [ zenon_intro zenon_H473 | zenon_intro zenon_H1a7 ].
% 55.30/55.40 apply (zenon_or_s _ _ zenon_H37c); [ zenon_intro zenon_H23f | zenon_intro zenon_H202 ].
% 55.30/55.40 apply (zenon_or_s _ _ zenon_H37b); [ zenon_intro zenon_H20d | zenon_intro zenon_H1c3 ].
% 55.30/55.40 apply (zenon_or_s _ _ zenon_H245); [ zenon_intro zenon_H147 | zenon_intro zenon_H254 ].
% 55.30/55.40 apply (zenon_L60_); trivial.
% 55.30/55.40 apply (zenon_or_s _ _ zenon_H254); [ zenon_intro zenon_H164 | zenon_intro zenon_H255 ].
% 55.30/55.40 apply (zenon_L66_); trivial.
% 55.30/55.40 apply (zenon_or_s _ _ zenon_H255); [ zenon_intro zenon_H197 | zenon_intro zenon_H256 ].
% 55.30/55.40 apply (zenon_L558_); trivial.
% 55.30/55.40 apply (zenon_or_s _ _ zenon_H256); [ zenon_intro zenon_H199 | zenon_intro zenon_H257 ].
% 55.30/55.40 apply (zenon_L77_); trivial.
% 55.30/55.40 apply (zenon_or_s _ _ zenon_H257); [ zenon_intro zenon_H259 | zenon_intro zenon_H258 ].
% 55.30/55.40 apply (zenon_L560_); trivial.
% 55.30/55.40 apply (zenon_or_s _ _ zenon_H258); [ zenon_intro zenon_H1a5 | zenon_intro zenon_H262 ].
% 55.30/55.40 apply (zenon_L80_); trivial.
% 55.30/55.40 apply (zenon_or_s _ _ zenon_H262); [ zenon_intro zenon_H1ae | zenon_intro zenon_H263 ].
% 55.30/55.40 apply (zenon_L83_); trivial.
% 55.30/55.40 apply (zenon_or_s _ _ zenon_H263); [ zenon_intro zenon_H212 | zenon_intro zenon_H264 ].
% 55.30/55.40 apply (zenon_L161_); trivial.
% 55.30/55.40 apply (zenon_or_s _ _ zenon_H264); [ zenon_intro zenon_H220 | zenon_intro zenon_H265 ].
% 55.30/55.40 apply (zenon_L110_); trivial.
% 55.30/55.40 apply (zenon_or_s _ _ zenon_H265); [ zenon_intro zenon_H222 | zenon_intro zenon_H266 ].
% 55.30/55.40 apply (zenon_L111_); trivial.
% 55.30/55.40 apply (zenon_or_s _ _ zenon_H266); [ zenon_intro zenon_H225 | zenon_intro zenon_H267 ].
% 55.30/55.40 apply (zenon_L113_); trivial.
% 55.30/55.40 apply (zenon_or_s _ _ zenon_H267); [ zenon_intro zenon_H22d | zenon_intro zenon_H268 ].
% 55.30/55.40 apply (zenon_L114_); trivial.
% 55.30/55.40 apply (zenon_or_s _ _ zenon_H268); [ zenon_intro zenon_H230 | zenon_intro zenon_H269 ].
% 55.30/55.40 apply (zenon_L115_); trivial.
% 55.30/55.40 apply (zenon_or_s _ _ zenon_H269); [ zenon_intro zenon_H232 | zenon_intro zenon_H26a ].
% 55.30/55.40 apply (zenon_L116_); trivial.
% 55.30/55.40 apply (zenon_or_s _ _ zenon_H26a); [ zenon_intro zenon_H240 | zenon_intro zenon_H242 ].
% 55.30/55.40 apply (zenon_L166_); trivial.
% 55.30/55.40 apply (zenon_L125_); trivial.
% 55.30/55.40 apply (zenon_or_s _ _ zenon_H245); [ zenon_intro zenon_H147 | zenon_intro zenon_H254 ].
% 55.30/55.40 apply (zenon_L60_); trivial.
% 55.30/55.40 apply (zenon_or_s _ _ zenon_H254); [ zenon_intro zenon_H164 | zenon_intro zenon_H255 ].
% 55.30/55.40 apply (zenon_L66_); trivial.
% 55.30/55.40 apply (zenon_or_s _ _ zenon_H255); [ zenon_intro zenon_H197 | zenon_intro zenon_H256 ].
% 55.30/55.40 apply (zenon_L558_); trivial.
% 55.30/55.40 apply (zenon_or_s _ _ zenon_H256); [ zenon_intro zenon_H199 | zenon_intro zenon_H257 ].
% 55.30/55.40 apply (zenon_L77_); trivial.
% 55.30/55.40 apply (zenon_or_s _ _ zenon_H257); [ zenon_intro zenon_H259 | zenon_intro zenon_H258 ].
% 55.30/55.40 apply (zenon_L560_); trivial.
% 55.30/55.40 apply (zenon_or_s _ _ zenon_H258); [ zenon_intro zenon_H1a5 | zenon_intro zenon_H262 ].
% 55.30/55.40 apply (zenon_L80_); trivial.
% 55.30/55.40 apply (zenon_or_s _ _ zenon_H262); [ zenon_intro zenon_H1ae | zenon_intro zenon_H263 ].
% 55.30/55.40 apply (zenon_L83_); trivial.
% 55.30/55.40 apply (zenon_or_s _ _ zenon_H263); [ zenon_intro zenon_H212 | zenon_intro zenon_H264 ].
% 55.30/55.40 apply (zenon_L167_); trivial.
% 55.30/55.40 apply (zenon_or_s _ _ zenon_H264); [ zenon_intro zenon_H220 | zenon_intro zenon_H265 ].
% 55.30/55.40 apply (zenon_L110_); trivial.
% 55.30/55.40 apply (zenon_or_s _ _ zenon_H265); [ zenon_intro zenon_H222 | zenon_intro zenon_H266 ].
% 55.30/55.40 apply (zenon_L111_); trivial.
% 55.30/55.40 apply (zenon_or_s _ _ zenon_H266); [ zenon_intro zenon_H225 | zenon_intro zenon_H267 ].
% 55.30/55.40 apply (zenon_L113_); trivial.
% 55.30/55.40 apply (zenon_or_s _ _ zenon_H267); [ zenon_intro zenon_H22d | zenon_intro zenon_H268 ].
% 55.30/55.40 apply (zenon_L114_); trivial.
% 55.30/55.40 apply (zenon_or_s _ _ zenon_H268); [ zenon_intro zenon_H230 | zenon_intro zenon_H269 ].
% 55.30/55.40 apply (zenon_L115_); trivial.
% 55.30/55.40 apply (zenon_or_s _ _ zenon_H269); [ zenon_intro zenon_H232 | zenon_intro zenon_H26a ].
% 55.30/55.40 apply (zenon_L116_); trivial.
% 55.30/55.40 apply (zenon_or_s _ _ zenon_H26a); [ zenon_intro zenon_H240 | zenon_intro zenon_H242 ].
% 55.30/55.40 apply (zenon_L166_); trivial.
% 55.30/55.40 apply (zenon_L125_); trivial.
% 55.30/55.40 apply (zenon_or_s _ _ zenon_H245); [ zenon_intro zenon_H147 | zenon_intro zenon_H254 ].
% 55.30/55.40 apply (zenon_L60_); trivial.
% 55.30/55.40 apply (zenon_or_s _ _ zenon_H254); [ zenon_intro zenon_H164 | zenon_intro zenon_H255 ].
% 55.30/55.40 apply (zenon_L66_); trivial.
% 55.30/55.40 apply (zenon_or_s _ _ zenon_H255); [ zenon_intro zenon_H197 | zenon_intro zenon_H256 ].
% 55.30/55.40 apply (zenon_L564_); trivial.
% 55.30/55.40 apply (zenon_or_s _ _ zenon_H256); [ zenon_intro zenon_H199 | zenon_intro zenon_H257 ].
% 55.30/55.40 apply (zenon_L77_); trivial.
% 55.30/55.40 apply (zenon_or_s _ _ zenon_H257); [ zenon_intro zenon_H259 | zenon_intro zenon_H258 ].
% 55.30/55.40 apply (zenon_L560_); trivial.
% 55.30/55.40 apply (zenon_or_s _ _ zenon_H258); [ zenon_intro zenon_H1a5 | zenon_intro zenon_H262 ].
% 55.30/55.40 apply (zenon_L80_); trivial.
% 55.30/55.40 apply (zenon_or_s _ _ zenon_H262); [ zenon_intro zenon_H1ae | zenon_intro zenon_H263 ].
% 55.30/55.40 apply (zenon_L83_); trivial.
% 55.30/55.40 apply (zenon_or_s _ _ zenon_H263); [ zenon_intro zenon_H212 | zenon_intro zenon_H264 ].
% 55.30/55.40 apply (zenon_L169_); trivial.
% 55.30/55.40 apply (zenon_or_s _ _ zenon_H264); [ zenon_intro zenon_H220 | zenon_intro zenon_H265 ].
% 55.30/55.40 apply (zenon_L110_); trivial.
% 55.30/55.40 apply (zenon_or_s _ _ zenon_H265); [ zenon_intro zenon_H222 | zenon_intro zenon_H266 ].
% 55.30/55.40 apply (zenon_L111_); trivial.
% 55.30/55.40 apply (zenon_or_s _ _ zenon_H266); [ zenon_intro zenon_H225 | zenon_intro zenon_H267 ].
% 55.30/55.40 apply (zenon_L113_); trivial.
% 55.30/55.40 apply (zenon_or_s _ _ zenon_H267); [ zenon_intro zenon_H22d | zenon_intro zenon_H268 ].
% 55.30/55.40 apply (zenon_L114_); trivial.
% 55.30/55.40 apply (zenon_or_s _ _ zenon_H268); [ zenon_intro zenon_H230 | zenon_intro zenon_H269 ].
% 55.30/55.40 apply (zenon_L115_); trivial.
% 55.30/55.40 apply (zenon_or_s _ _ zenon_H269); [ zenon_intro zenon_H232 | zenon_intro zenon_H26a ].
% 55.30/55.40 apply (zenon_L116_); trivial.
% 55.30/55.40 apply (zenon_or_s _ _ zenon_H26a); [ zenon_intro zenon_H240 | zenon_intro zenon_H242 ].
% 55.30/55.40 apply (zenon_L166_); trivial.
% 55.30/55.40 apply (zenon_L125_); trivial.
% 55.30/55.40 apply (zenon_L532_); trivial.
% 55.30/55.40 apply (zenon_or_s _ _ zenon_H370); [ zenon_intro zenon_H335 | zenon_intro zenon_H363 ].
% 55.30/55.40 apply (zenon_L260_); trivial.
% 55.30/55.40 apply (zenon_L307_); trivial.
% 55.30/55.40 apply (zenon_L24_); trivial.
% 55.30/55.40 apply (zenon_or_s _ _ zenon_H64d); [ zenon_intro zenon_H413 | zenon_intro zenon_H443 ].
% 55.30/55.40 apply (zenon_L418_); trivial.
% 55.30/55.40 apply (zenon_L468_); trivial.
% 55.30/55.40 apply (zenon_notand_s _ _ zenon_H659); [ zenon_intro zenon_H65b | zenon_intro zenon_H65a ].
% 55.30/55.40 cut (((h2 (e10)) = (op2 (e21) (e21))) = ((h2 (op1 (e11) (e11))) = (op2 (h2 (e11)) (h2 (e11))))).
% 55.30/55.40 intro zenon_D_pnotp.
% 55.30/55.40 apply zenon_H65b.
% 55.30/55.40 rewrite <- zenon_D_pnotp.
% 55.30/55.40 exact zenon_H26c.
% 55.30/55.40 cut (((op2 (e21) (e21)) = (op2 (h2 (e11)) (h2 (e11))))); [idtac | apply NNPP; zenon_intro zenon_H65c].
% 55.30/55.40 cut (((h2 (e10)) = (h2 (op1 (e11) (e11))))); [idtac | apply NNPP; zenon_intro zenon_H65d].
% 55.30/55.40 congruence.
% 55.30/55.40 elim (classic ((h2 (op1 (e11) (e11))) = (h2 (op1 (e11) (e11))))); [ zenon_intro zenon_H65e | zenon_intro zenon_H65f ].
% 55.30/55.40 cut (((h2 (op1 (e11) (e11))) = (h2 (op1 (e11) (e11)))) = ((h2 (e10)) = (h2 (op1 (e11) (e11))))).
% 55.30/55.40 intro zenon_D_pnotp.
% 55.30/55.40 apply zenon_H65d.
% 55.30/55.40 rewrite <- zenon_D_pnotp.
% 55.30/55.40 exact zenon_H65e.
% 55.30/55.40 cut (((h2 (op1 (e11) (e11))) = (h2 (op1 (e11) (e11))))); [idtac | apply NNPP; zenon_intro zenon_H65f].
% 55.30/55.40 cut (((h2 (op1 (e11) (e11))) = (h2 (e10)))); [idtac | apply NNPP; zenon_intro zenon_H660].
% 55.30/55.40 congruence.
% 55.30/55.40 cut (((op1 (e11) (e11)) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H14].
% 55.30/55.40 congruence.
% 55.30/55.40 apply zenon_H14. apply sym_equal. exact zenon_H13.
% 55.30/55.40 apply zenon_H65f. apply refl_equal.
% 55.30/55.40 apply zenon_H65f. apply refl_equal.
% 55.30/55.40 cut (((e21) = (h2 (e11)))); [idtac | apply NNPP; zenon_intro zenon_H661].
% 55.30/55.40 cut (((e21) = (h2 (e11)))); [idtac | apply NNPP; zenon_intro zenon_H661].
% 55.30/55.40 congruence.
% 55.30/55.40 apply zenon_H661. apply sym_equal. exact zenon_H270.
% 55.30/55.40 apply zenon_H661. apply sym_equal. exact zenon_H270.
% 55.30/55.40 apply (zenon_notand_s _ _ zenon_H65a); [ zenon_intro zenon_H4a2 | zenon_intro zenon_H662 ].
% 55.30/55.40 apply (zenon_or_s _ _ zenon_H63b); [ zenon_intro zenon_H127 | zenon_intro zenon_H64c ].
% 55.30/55.40 apply (zenon_L58_); trivial.
% 55.30/55.40 apply (zenon_or_s _ _ zenon_H64c); [ zenon_intro zenon_H64e | zenon_intro zenon_H64d ].
% 55.30/55.40 apply (zenon_and_s _ _ zenon_H64e). zenon_intro zenon_H514. zenon_intro zenon_H64f.
% 55.30/55.40 apply (zenon_and_s _ _ zenon_H64f). zenon_intro zenon_H499. zenon_intro zenon_H650.
% 55.30/55.40 apply (zenon_and_s _ _ zenon_H650). zenon_intro zenon_H481. zenon_intro zenon_H651.
% 55.30/55.40 apply (zenon_and_s _ _ zenon_H651). zenon_intro zenon_H395. zenon_intro zenon_H652.
% 55.30/55.40 apply (zenon_and_s _ _ zenon_H652). zenon_intro zenon_H654. zenon_intro zenon_H653.
% 55.30/55.40 apply (zenon_and_s _ _ zenon_H653). zenon_intro zenon_H656. zenon_intro zenon_H655.
% 55.30/55.40 apply (zenon_and_s _ _ zenon_H655). zenon_intro zenon_H3c0. zenon_intro zenon_H3c1.
% 55.30/55.40 apply (zenon_or_s _ _ zenon_H654); [ zenon_intro zenon_H49d | zenon_intro zenon_H51 ].
% 55.30/55.40 apply (zenon_or_s _ _ zenon_H656); [ zenon_intro zenon_H28d | zenon_intro zenon_Hc3 ].
% 55.30/55.40 apply (zenon_or_s _ _ zenon_H3c0); [ zenon_intro zenon_H101 | zenon_intro zenon_Hd3 ].
% 55.30/55.40 apply (zenon_or_s _ _ zenon_H3c1); [ zenon_intro zenon_H383 | zenon_intro zenon_He8 ].
% 55.30/55.40 apply (zenon_or_s _ _ zenon_H128); [ zenon_intro zenon_H2b | zenon_intro zenon_H134 ].
% 55.30/55.40 apply (zenon_L5_); trivial.
% 55.30/55.40 apply (zenon_or_s _ _ zenon_H134); [ zenon_intro zenon_H4f | zenon_intro zenon_H135 ].
% 55.30/55.40 apply (zenon_L12_); trivial.
% 55.30/55.40 apply (zenon_or_s _ _ zenon_H135); [ zenon_intro zenon_H77 | zenon_intro zenon_H136 ].
% 55.30/55.40 apply (zenon_L586_); trivial.
% 55.30/55.40 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_H89 | zenon_intro zenon_H137 ].
% 55.30/55.40 apply (zenon_L316_); trivial.
% 55.30/55.40 apply (zenon_or_s _ _ zenon_H137); [ zenon_intro zenon_Hb6 | zenon_intro zenon_H138 ].
% 55.30/55.40 apply (zenon_L598_); trivial.
% 55.30/55.40 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H139 ].
% 55.30/55.40 apply (zenon_L32_); trivial.
% 55.30/55.40 apply (zenon_or_s _ _ zenon_H139); [ zenon_intro zenon_Hc8 | zenon_intro zenon_H13a ].
% 55.30/55.40 apply (zenon_L35_); trivial.
% 55.30/55.40 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_Hcd | zenon_intro zenon_H13b ].
% 55.30/55.40 apply (zenon_L321_); trivial.
% 55.30/55.40 apply (zenon_or_s _ _ zenon_H13b); [ zenon_intro zenon_Hcf | zenon_intro zenon_H13c ].
% 55.30/55.40 apply (zenon_L38_); trivial.
% 55.30/55.40 apply (zenon_or_s _ _ zenon_H13c); [ zenon_intro zenon_Hd1 | zenon_intro zenon_H13d ].
% 55.30/55.40 apply (zenon_L39_); trivial.
% 55.30/55.40 apply (zenon_or_s _ _ zenon_H13d); [ zenon_intro zenon_Hd8 | zenon_intro zenon_H13e ].
% 55.30/55.40 apply (zenon_L41_); trivial.
% 55.30/55.40 apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_He0 | zenon_intro zenon_H13f ].
% 55.30/55.40 apply (zenon_L42_); trivial.
% 55.30/55.40 apply (zenon_or_s _ _ zenon_H13f); [ zenon_intro zenon_He3 | zenon_intro zenon_H140 ].
% 55.30/55.40 apply (zenon_L43_); trivial.
% 55.30/55.40 apply (zenon_or_s _ _ zenon_H140); [ zenon_intro zenon_He6 | zenon_intro zenon_H141 ].
% 55.30/55.40 apply (zenon_L44_); trivial.
% 55.30/55.40 apply (zenon_or_s _ _ zenon_H141); [ zenon_intro zenon_H142 | zenon_intro zenon_H108 ].
% 55.30/55.40 apply (zenon_L328_); trivial.
% 55.30/55.40 apply (zenon_L54_); trivial.
% 55.30/55.40 apply (zenon_or_s _ _ zenon_H128); [ zenon_intro zenon_H2b | zenon_intro zenon_H134 ].
% 55.30/55.40 apply (zenon_L5_); trivial.
% 55.30/55.40 apply (zenon_or_s _ _ zenon_H134); [ zenon_intro zenon_H4f | zenon_intro zenon_H135 ].
% 55.30/55.40 apply (zenon_L12_); trivial.
% 55.30/55.40 apply (zenon_or_s _ _ zenon_H135); [ zenon_intro zenon_H77 | zenon_intro zenon_H136 ].
% 55.30/55.40 apply (zenon_L586_); trivial.
% 55.30/55.40 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_H89 | zenon_intro zenon_H137 ].
% 55.30/55.40 apply (zenon_L329_); trivial.
% 55.30/55.40 apply (zenon_or_s _ _ zenon_H137); [ zenon_intro zenon_Hb6 | zenon_intro zenon_H138 ].
% 55.30/55.40 apply (zenon_L598_); trivial.
% 55.30/55.40 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H139 ].
% 55.30/55.40 apply (zenon_L32_); trivial.
% 55.30/55.40 apply (zenon_or_s _ _ zenon_H139); [ zenon_intro zenon_Hc8 | zenon_intro zenon_H13a ].
% 55.30/55.40 apply (zenon_L35_); trivial.
% 55.30/55.40 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_Hcd | zenon_intro zenon_H13b ].
% 55.30/55.40 apply (zenon_L331_); trivial.
% 55.30/55.40 apply (zenon_or_s _ _ zenon_H13b); [ zenon_intro zenon_Hcf | zenon_intro zenon_H13c ].
% 55.30/55.40 apply (zenon_L38_); trivial.
% 55.30/55.40 apply (zenon_or_s _ _ zenon_H13c); [ zenon_intro zenon_Hd1 | zenon_intro zenon_H13d ].
% 55.30/55.40 apply (zenon_L39_); trivial.
% 55.30/55.40 apply (zenon_or_s _ _ zenon_H13d); [ zenon_intro zenon_Hd8 | zenon_intro zenon_H13e ].
% 55.30/55.40 apply (zenon_L41_); trivial.
% 55.30/55.40 apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_He0 | zenon_intro zenon_H13f ].
% 55.30/55.40 apply (zenon_L42_); trivial.
% 55.30/55.40 apply (zenon_or_s _ _ zenon_H13f); [ zenon_intro zenon_He3 | zenon_intro zenon_H140 ].
% 55.30/55.40 apply (zenon_L43_); trivial.
% 55.30/55.40 apply (zenon_or_s _ _ zenon_H140); [ zenon_intro zenon_He6 | zenon_intro zenon_H141 ].
% 55.30/55.40 apply (zenon_L44_); trivial.
% 55.30/55.40 apply (zenon_or_s _ _ zenon_H141); [ zenon_intro zenon_H142 | zenon_intro zenon_H108 ].
% 55.30/55.40 apply (zenon_L328_); trivial.
% 55.30/55.40 apply (zenon_L54_); trivial.
% 55.30/55.40 apply (zenon_or_s _ _ zenon_H3c1); [ zenon_intro zenon_H383 | zenon_intro zenon_He8 ].
% 55.30/55.40 apply (zenon_or_s _ _ zenon_H128); [ zenon_intro zenon_H2b | zenon_intro zenon_H134 ].
% 55.30/55.40 apply (zenon_L5_); trivial.
% 55.30/55.40 apply (zenon_or_s _ _ zenon_H134); [ zenon_intro zenon_H4f | zenon_intro zenon_H135 ].
% 55.30/55.40 apply (zenon_L12_); trivial.
% 55.30/55.40 apply (zenon_or_s _ _ zenon_H135); [ zenon_intro zenon_H77 | zenon_intro zenon_H136 ].
% 55.30/55.40 apply (zenon_L612_); trivial.
% 55.30/55.40 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_H89 | zenon_intro zenon_H137 ].
% 55.30/55.40 apply (zenon_L316_); trivial.
% 55.30/55.40 apply (zenon_or_s _ _ zenon_H137); [ zenon_intro zenon_Hb6 | zenon_intro zenon_H138 ].
% 55.30/55.40 apply (zenon_L598_); trivial.
% 55.30/55.40 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H139 ].
% 55.30/55.40 apply (zenon_L32_); trivial.
% 55.30/55.40 apply (zenon_or_s _ _ zenon_H139); [ zenon_intro zenon_Hc8 | zenon_intro zenon_H13a ].
% 55.30/55.40 apply (zenon_L35_); trivial.
% 55.30/55.40 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_Hcd | zenon_intro zenon_H13b ].
% 55.30/55.40 apply (zenon_L321_); trivial.
% 55.30/55.40 apply (zenon_or_s _ _ zenon_H13b); [ zenon_intro zenon_Hcf | zenon_intro zenon_H13c ].
% 55.30/55.40 apply (zenon_L38_); trivial.
% 55.30/55.40 apply (zenon_or_s _ _ zenon_H13c); [ zenon_intro zenon_Hd1 | zenon_intro zenon_H13d ].
% 55.30/55.40 apply (zenon_L39_); trivial.
% 55.30/55.40 apply (zenon_or_s _ _ zenon_H13d); [ zenon_intro zenon_Hd8 | zenon_intro zenon_H13e ].
% 55.30/55.40 apply (zenon_L41_); trivial.
% 55.30/55.40 apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_He0 | zenon_intro zenon_H13f ].
% 55.30/55.40 apply (zenon_L42_); trivial.
% 55.30/55.40 apply (zenon_or_s _ _ zenon_H13f); [ zenon_intro zenon_He3 | zenon_intro zenon_H140 ].
% 55.30/55.40 apply (zenon_L43_); trivial.
% 55.30/55.40 apply (zenon_or_s _ _ zenon_H140); [ zenon_intro zenon_He6 | zenon_intro zenon_H141 ].
% 55.30/55.40 apply (zenon_L44_); trivial.
% 55.30/55.40 apply (zenon_or_s _ _ zenon_H141); [ zenon_intro zenon_H142 | zenon_intro zenon_H108 ].
% 55.30/55.40 apply (zenon_L328_); trivial.
% 55.30/55.40 apply (zenon_L54_); trivial.
% 55.30/55.40 apply (zenon_or_s _ _ zenon_H128); [ zenon_intro zenon_H2b | zenon_intro zenon_H134 ].
% 55.30/55.40 apply (zenon_L5_); trivial.
% 55.30/55.40 apply (zenon_or_s _ _ zenon_H134); [ zenon_intro zenon_H4f | zenon_intro zenon_H135 ].
% 55.30/55.40 apply (zenon_L12_); trivial.
% 55.30/55.40 apply (zenon_or_s _ _ zenon_H135); [ zenon_intro zenon_H77 | zenon_intro zenon_H136 ].
% 55.30/55.40 apply (zenon_L612_); trivial.
% 55.30/55.40 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_H89 | zenon_intro zenon_H137 ].
% 55.30/55.40 apply (zenon_L329_); trivial.
% 55.30/55.40 apply (zenon_or_s _ _ zenon_H137); [ zenon_intro zenon_Hb6 | zenon_intro zenon_H138 ].
% 55.30/55.40 apply (zenon_L598_); trivial.
% 55.30/55.40 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H139 ].
% 55.30/55.40 apply (zenon_L32_); trivial.
% 55.30/55.40 apply (zenon_or_s _ _ zenon_H139); [ zenon_intro zenon_Hc8 | zenon_intro zenon_H13a ].
% 55.30/55.40 apply (zenon_L35_); trivial.
% 55.30/55.40 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_Hcd | zenon_intro zenon_H13b ].
% 55.30/55.40 apply (zenon_L331_); trivial.
% 55.30/55.40 apply (zenon_or_s _ _ zenon_H13b); [ zenon_intro zenon_Hcf | zenon_intro zenon_H13c ].
% 55.30/55.40 apply (zenon_L38_); trivial.
% 55.30/55.40 apply (zenon_or_s _ _ zenon_H13c); [ zenon_intro zenon_Hd1 | zenon_intro zenon_H13d ].
% 55.30/55.40 apply (zenon_L39_); trivial.
% 55.30/55.40 apply (zenon_or_s _ _ zenon_H13d); [ zenon_intro zenon_Hd8 | zenon_intro zenon_H13e ].
% 55.30/55.40 apply (zenon_L41_); trivial.
% 55.30/55.40 apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_He0 | zenon_intro zenon_H13f ].
% 55.30/55.40 apply (zenon_L42_); trivial.
% 55.30/55.40 apply (zenon_or_s _ _ zenon_H13f); [ zenon_intro zenon_He3 | zenon_intro zenon_H140 ].
% 55.30/55.40 apply (zenon_L43_); trivial.
% 55.30/55.40 apply (zenon_or_s _ _ zenon_H140); [ zenon_intro zenon_He6 | zenon_intro zenon_H141 ].
% 55.30/55.40 apply (zenon_L44_); trivial.
% 55.30/55.40 apply (zenon_or_s _ _ zenon_H141); [ zenon_intro zenon_H142 | zenon_intro zenon_H108 ].
% 55.30/55.40 apply (zenon_L328_); trivial.
% 55.30/55.40 apply (zenon_L54_); trivial.
% 55.30/55.40 apply (zenon_L351_); trivial.
% 55.30/55.40 apply (zenon_L24_); trivial.
% 55.30/55.40 apply (zenon_or_s _ _ zenon_H64d); [ zenon_intro zenon_H413 | zenon_intro zenon_H443 ].
% 55.30/55.40 apply (zenon_L418_); trivial.
% 55.30/55.40 apply (zenon_L468_); trivial.
% 55.30/55.40 apply (zenon_notand_s _ _ zenon_H662); [ zenon_intro zenon_H4b1 | zenon_intro zenon_H663 ].
% 55.30/55.40 apply (zenon_or_s _ _ zenon_H63b); [ zenon_intro zenon_H127 | zenon_intro zenon_H64c ].
% 55.30/55.40 apply (zenon_L58_); trivial.
% 55.30/55.40 apply (zenon_or_s _ _ zenon_H64c); [ zenon_intro zenon_H64e | zenon_intro zenon_H64d ].
% 55.30/55.40 apply (zenon_and_s _ _ zenon_H64e). zenon_intro zenon_H514. zenon_intro zenon_H64f.
% 55.30/55.40 apply (zenon_and_s _ _ zenon_H64f). zenon_intro zenon_H499. zenon_intro zenon_H650.
% 55.30/55.40 apply (zenon_and_s _ _ zenon_H650). zenon_intro zenon_H481. zenon_intro zenon_H651.
% 55.30/55.40 apply (zenon_and_s _ _ zenon_H651). zenon_intro zenon_H395. zenon_intro zenon_H652.
% 55.30/55.40 apply (zenon_and_s _ _ zenon_H652). zenon_intro zenon_H654. zenon_intro zenon_H653.
% 55.30/55.40 apply (zenon_and_s _ _ zenon_H653). zenon_intro zenon_H656. zenon_intro zenon_H655.
% 55.30/55.40 apply (zenon_and_s _ _ zenon_H655). zenon_intro zenon_H3c0. zenon_intro zenon_H3c1.
% 55.30/55.40 apply (zenon_or_s _ _ zenon_H656); [ zenon_intro zenon_H28d | zenon_intro zenon_Hc3 ].
% 55.30/55.40 apply (zenon_or_s _ _ zenon_H3c0); [ zenon_intro zenon_H101 | zenon_intro zenon_Hd3 ].
% 55.30/55.40 apply (zenon_or_s _ _ zenon_H3c1); [ zenon_intro zenon_H383 | zenon_intro zenon_He8 ].
% 55.30/55.40 apply (zenon_or_s _ _ zenon_H128); [ zenon_intro zenon_H2b | zenon_intro zenon_H134 ].
% 55.30/55.40 apply (zenon_L5_); trivial.
% 55.30/55.40 apply (zenon_or_s _ _ zenon_H134); [ zenon_intro zenon_H4f | zenon_intro zenon_H135 ].
% 55.30/55.40 apply (zenon_L12_); trivial.
% 55.30/55.40 apply (zenon_or_s _ _ zenon_H135); [ zenon_intro zenon_H77 | zenon_intro zenon_H136 ].
% 55.30/55.40 apply (zenon_and_s _ _ zenon_H77). zenon_intro zenon_H57. zenon_intro zenon_H78.
% 55.30/55.40 apply (zenon_and_s _ _ zenon_H78). zenon_intro zenon_H121. zenon_intro zenon_Hda.
% 55.30/55.40 apply (zenon_and_s _ _ zenon_Hda). zenon_intro zenon_Hdc. zenon_intro zenon_Hdb.
% 55.30/55.40 apply (zenon_and_s _ _ zenon_Hdb). zenon_intro zenon_Hde. zenon_intro zenon_Hdd.
% 55.30/55.40 apply (zenon_and_s _ _ zenon_Hdd). zenon_intro zenon_Hd5. zenon_intro zenon_Hdf.
% 55.30/55.40 apply (zenon_or_s _ _ zenon_Hdc); [ zenon_intro zenon_Hb5 | zenon_intro zenon_H85 ].
% 55.30/55.40 apply (zenon_or_s _ _ zenon_Hd5); [ zenon_intro zenon_Hd7 | zenon_intro zenon_Hd7 ].
% 55.30/55.40 apply (zenon_L662_); trivial.
% 55.30/55.40 apply (zenon_L662_); trivial.
% 55.30/55.40 apply (zenon_L676_); trivial.
% 55.30/55.40 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_H89 | zenon_intro zenon_H137 ].
% 55.30/55.40 apply (zenon_L316_); trivial.
% 55.30/55.40 apply (zenon_or_s _ _ zenon_H137); [ zenon_intro zenon_Hb6 | zenon_intro zenon_H138 ].
% 55.30/55.40 apply (zenon_and_s _ _ zenon_Hb6). zenon_intro zenon_H4e. zenon_intro zenon_Hb8.
% 55.30/55.40 apply (zenon_and_s _ _ zenon_Hb8). zenon_intro zenon_Hb9. zenon_intro zenon_H2e.
% 55.30/55.40 apply (zenon_and_s _ _ zenon_H2e). zenon_intro zenon_H30. zenon_intro zenon_H2f.
% 55.30/55.40 apply (zenon_and_s _ _ zenon_H2f). zenon_intro zenon_Hbb. zenon_intro zenon_Hba.
% 55.30/55.40 apply (zenon_and_s _ _ zenon_Hba). zenon_intro zenon_Hbc. zenon_intro zenon_Haa.
% 55.30/55.40 apply (zenon_or_s _ _ zenon_H30); [ zenon_intro zenon_H31 | zenon_intro zenon_H31 ].
% 55.30/55.40 apply (zenon_L721_); trivial.
% 55.30/55.40 apply (zenon_L721_); trivial.
% 55.30/55.40 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H139 ].
% 55.30/55.40 apply (zenon_L32_); trivial.
% 55.30/55.40 apply (zenon_or_s _ _ zenon_H139); [ zenon_intro zenon_Hc8 | zenon_intro zenon_H13a ].
% 55.30/55.40 apply (zenon_L35_); trivial.
% 55.30/55.40 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_Hcd | zenon_intro zenon_H13b ].
% 55.30/55.40 apply (zenon_L321_); trivial.
% 55.30/55.40 apply (zenon_or_s _ _ zenon_H13b); [ zenon_intro zenon_Hcf | zenon_intro zenon_H13c ].
% 55.30/55.40 apply (zenon_L38_); trivial.
% 55.30/55.40 apply (zenon_or_s _ _ zenon_H13c); [ zenon_intro zenon_Hd1 | zenon_intro zenon_H13d ].
% 55.30/55.40 apply (zenon_L39_); trivial.
% 55.30/55.40 apply (zenon_or_s _ _ zenon_H13d); [ zenon_intro zenon_Hd8 | zenon_intro zenon_H13e ].
% 55.30/55.40 apply (zenon_L41_); trivial.
% 55.30/55.40 apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_He0 | zenon_intro zenon_H13f ].
% 55.30/55.40 apply (zenon_L42_); trivial.
% 55.30/55.40 apply (zenon_or_s _ _ zenon_H13f); [ zenon_intro zenon_He3 | zenon_intro zenon_H140 ].
% 55.30/55.40 apply (zenon_L43_); trivial.
% 55.30/55.40 apply (zenon_or_s _ _ zenon_H140); [ zenon_intro zenon_He6 | zenon_intro zenon_H141 ].
% 55.30/55.40 apply (zenon_L44_); trivial.
% 55.30/55.40 apply (zenon_or_s _ _ zenon_H141); [ zenon_intro zenon_H142 | zenon_intro zenon_H108 ].
% 55.30/55.40 apply (zenon_L328_); trivial.
% 55.30/55.40 apply (zenon_L54_); trivial.
% 55.30/55.40 apply (zenon_or_s _ _ zenon_H128); [ zenon_intro zenon_H2b | zenon_intro zenon_H134 ].
% 55.30/55.40 apply (zenon_L5_); trivial.
% 55.30/55.40 apply (zenon_or_s _ _ zenon_H134); [ zenon_intro zenon_H4f | zenon_intro zenon_H135 ].
% 55.30/55.40 apply (zenon_L12_); trivial.
% 55.30/55.40 apply (zenon_or_s _ _ zenon_H135); [ zenon_intro zenon_H77 | zenon_intro zenon_H136 ].
% 55.30/55.40 apply (zenon_and_s _ _ zenon_H77). zenon_intro zenon_H57. zenon_intro zenon_H78.
% 55.30/55.40 apply (zenon_and_s _ _ zenon_H78). zenon_intro zenon_H121. zenon_intro zenon_Hda.
% 55.30/55.40 apply (zenon_and_s _ _ zenon_Hda). zenon_intro zenon_Hdc. zenon_intro zenon_Hdb.
% 55.30/55.40 apply (zenon_and_s _ _ zenon_Hdb). zenon_intro zenon_Hde. zenon_intro zenon_Hdd.
% 55.30/55.40 apply (zenon_and_s _ _ zenon_Hdd). zenon_intro zenon_Hd5. zenon_intro zenon_Hdf.
% 55.30/55.40 apply (zenon_or_s _ _ zenon_Hd5); [ zenon_intro zenon_Hd7 | zenon_intro zenon_Hd7 ].
% 55.30/55.40 apply (zenon_L727_); trivial.
% 55.30/55.40 apply (zenon_L727_); trivial.
% 55.30/55.40 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_H89 | zenon_intro zenon_H137 ].
% 55.30/55.40 apply (zenon_L329_); trivial.
% 55.30/55.40 apply (zenon_or_s _ _ zenon_H137); [ zenon_intro zenon_Hb6 | zenon_intro zenon_H138 ].
% 55.30/55.40 apply (zenon_L709_); trivial.
% 55.30/55.40 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H139 ].
% 55.30/55.40 apply (zenon_L32_); trivial.
% 55.30/55.40 apply (zenon_or_s _ _ zenon_H139); [ zenon_intro zenon_Hc8 | zenon_intro zenon_H13a ].
% 55.30/55.40 apply (zenon_L35_); trivial.
% 55.30/55.40 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_Hcd | zenon_intro zenon_H13b ].
% 55.30/55.40 apply (zenon_L331_); trivial.
% 55.30/55.40 apply (zenon_or_s _ _ zenon_H13b); [ zenon_intro zenon_Hcf | zenon_intro zenon_H13c ].
% 55.30/55.40 apply (zenon_L38_); trivial.
% 55.30/55.40 apply (zenon_or_s _ _ zenon_H13c); [ zenon_intro zenon_Hd1 | zenon_intro zenon_H13d ].
% 55.30/55.40 apply (zenon_L39_); trivial.
% 55.30/55.40 apply (zenon_or_s _ _ zenon_H13d); [ zenon_intro zenon_Hd8 | zenon_intro zenon_H13e ].
% 55.30/55.40 apply (zenon_L41_); trivial.
% 55.30/55.40 apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_He0 | zenon_intro zenon_H13f ].
% 55.30/55.40 apply (zenon_L42_); trivial.
% 55.30/55.40 apply (zenon_or_s _ _ zenon_H13f); [ zenon_intro zenon_He3 | zenon_intro zenon_H140 ].
% 55.30/55.40 apply (zenon_L43_); trivial.
% 55.30/55.40 apply (zenon_or_s _ _ zenon_H140); [ zenon_intro zenon_He6 | zenon_intro zenon_H141 ].
% 55.30/55.40 apply (zenon_L44_); trivial.
% 55.30/55.40 apply (zenon_or_s _ _ zenon_H141); [ zenon_intro zenon_H142 | zenon_intro zenon_H108 ].
% 55.30/55.40 apply (zenon_L328_); trivial.
% 55.30/55.40 apply (zenon_L54_); trivial.
% 55.30/55.40 apply (zenon_L710_); trivial.
% 55.30/55.40 apply (zenon_L351_); trivial.
% 55.30/55.40 apply (zenon_or_s _ _ zenon_H64d); [ zenon_intro zenon_H413 | zenon_intro zenon_H443 ].
% 55.30/55.40 apply (zenon_L418_); trivial.
% 55.30/55.40 apply (zenon_L468_); trivial.
% 55.30/55.40 apply (zenon_notand_s _ _ zenon_H663); [ zenon_intro zenon_H4d9 | zenon_intro zenon_H664 ].
% 55.30/55.40 apply (zenon_or_s _ _ zenon_H63b); [ zenon_intro zenon_H127 | zenon_intro zenon_H64c ].
% 55.30/55.40 apply (zenon_L58_); trivial.
% 55.30/55.40 apply (zenon_or_s _ _ zenon_H64c); [ zenon_intro zenon_H64e | zenon_intro zenon_H64d ].
% 55.30/55.40 apply (zenon_and_s _ _ zenon_H64e). zenon_intro zenon_H514. zenon_intro zenon_H64f.
% 55.30/55.40 apply (zenon_and_s _ _ zenon_H64f). zenon_intro zenon_H499. zenon_intro zenon_H650.
% 55.30/55.40 apply (zenon_and_s _ _ zenon_H650). zenon_intro zenon_H481. zenon_intro zenon_H651.
% 55.30/55.40 apply (zenon_and_s _ _ zenon_H651). zenon_intro zenon_H395. zenon_intro zenon_H652.
% 55.30/55.40 apply (zenon_and_s _ _ zenon_H652). zenon_intro zenon_H654. zenon_intro zenon_H653.
% 55.30/55.40 apply (zenon_and_s _ _ zenon_H653). zenon_intro zenon_H656. zenon_intro zenon_H655.
% 55.30/55.40 apply (zenon_and_s _ _ zenon_H655). zenon_intro zenon_H3c0. zenon_intro zenon_H3c1.
% 55.30/55.40 apply (zenon_or_s _ _ zenon_H3c1); [ zenon_intro zenon_H383 | zenon_intro zenon_He8 ].
% 55.30/55.40 apply (zenon_or_s _ _ zenon_H128); [ zenon_intro zenon_H2b | zenon_intro zenon_H134 ].
% 55.30/55.40 apply (zenon_L5_); trivial.
% 55.30/55.40 apply (zenon_or_s _ _ zenon_H134); [ zenon_intro zenon_H4f | zenon_intro zenon_H135 ].
% 55.30/55.40 apply (zenon_L12_); trivial.
% 55.30/55.40 apply (zenon_or_s _ _ zenon_H135); [ zenon_intro zenon_H77 | zenon_intro zenon_H136 ].
% 55.30/55.40 apply (zenon_L734_); trivial.
% 55.30/55.40 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_H89 | zenon_intro zenon_H137 ].
% 55.30/55.40 apply (zenon_L316_); trivial.
% 55.30/55.40 apply (zenon_or_s _ _ zenon_H137); [ zenon_intro zenon_Hb6 | zenon_intro zenon_H138 ].
% 55.30/55.40 apply (zenon_L742_); trivial.
% 55.30/55.40 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H139 ].
% 55.30/55.40 apply (zenon_L32_); trivial.
% 55.30/55.40 apply (zenon_or_s _ _ zenon_H139); [ zenon_intro zenon_Hc8 | zenon_intro zenon_H13a ].
% 55.30/55.40 apply (zenon_L35_); trivial.
% 55.30/55.40 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_Hcd | zenon_intro zenon_H13b ].
% 55.30/55.40 apply (zenon_L321_); trivial.
% 55.30/55.40 apply (zenon_or_s _ _ zenon_H13b); [ zenon_intro zenon_Hcf | zenon_intro zenon_H13c ].
% 55.30/55.40 apply (zenon_L38_); trivial.
% 55.30/55.40 apply (zenon_or_s _ _ zenon_H13c); [ zenon_intro zenon_Hd1 | zenon_intro zenon_H13d ].
% 55.30/55.40 apply (zenon_L39_); trivial.
% 55.30/55.40 apply (zenon_or_s _ _ zenon_H13d); [ zenon_intro zenon_Hd8 | zenon_intro zenon_H13e ].
% 55.30/55.40 apply (zenon_L41_); trivial.
% 55.30/55.40 apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_He0 | zenon_intro zenon_H13f ].
% 55.30/55.40 apply (zenon_L42_); trivial.
% 55.30/55.40 apply (zenon_or_s _ _ zenon_H13f); [ zenon_intro zenon_He3 | zenon_intro zenon_H140 ].
% 55.30/55.40 apply (zenon_L43_); trivial.
% 55.30/55.40 apply (zenon_or_s _ _ zenon_H140); [ zenon_intro zenon_He6 | zenon_intro zenon_H141 ].
% 55.30/55.40 apply (zenon_L44_); trivial.
% 55.30/55.40 apply (zenon_or_s _ _ zenon_H141); [ zenon_intro zenon_H142 | zenon_intro zenon_H108 ].
% 55.30/55.40 apply (zenon_L328_); trivial.
% 55.30/55.40 apply (zenon_L54_); trivial.
% 55.30/55.40 apply (zenon_or_s _ _ zenon_H128); [ zenon_intro zenon_H2b | zenon_intro zenon_H134 ].
% 55.30/55.40 apply (zenon_L5_); trivial.
% 55.30/55.40 apply (zenon_or_s _ _ zenon_H134); [ zenon_intro zenon_H4f | zenon_intro zenon_H135 ].
% 55.30/55.40 apply (zenon_L12_); trivial.
% 55.30/55.40 apply (zenon_or_s _ _ zenon_H135); [ zenon_intro zenon_H77 | zenon_intro zenon_H136 ].
% 55.30/55.40 apply (zenon_L734_); trivial.
% 55.30/55.40 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_H89 | zenon_intro zenon_H137 ].
% 55.30/55.40 apply (zenon_L329_); trivial.
% 55.30/55.40 apply (zenon_or_s _ _ zenon_H137); [ zenon_intro zenon_Hb6 | zenon_intro zenon_H138 ].
% 55.30/55.40 apply (zenon_L742_); trivial.
% 55.30/55.40 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H139 ].
% 55.30/55.40 apply (zenon_L32_); trivial.
% 55.30/55.40 apply (zenon_or_s _ _ zenon_H139); [ zenon_intro zenon_Hc8 | zenon_intro zenon_H13a ].
% 55.30/55.40 apply (zenon_L35_); trivial.
% 55.30/55.40 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_Hcd | zenon_intro zenon_H13b ].
% 55.30/55.40 apply (zenon_L331_); trivial.
% 55.30/55.40 apply (zenon_or_s _ _ zenon_H13b); [ zenon_intro zenon_Hcf | zenon_intro zenon_H13c ].
% 55.30/55.40 apply (zenon_L38_); trivial.
% 55.30/55.40 apply (zenon_or_s _ _ zenon_H13c); [ zenon_intro zenon_Hd1 | zenon_intro zenon_H13d ].
% 55.30/55.40 apply (zenon_L39_); trivial.
% 55.30/55.40 apply (zenon_or_s _ _ zenon_H13d); [ zenon_intro zenon_Hd8 | zenon_intro zenon_H13e ].
% 55.30/55.40 apply (zenon_L41_); trivial.
% 55.30/55.40 apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_He0 | zenon_intro zenon_H13f ].
% 55.30/55.40 apply (zenon_L42_); trivial.
% 55.30/55.40 apply (zenon_or_s _ _ zenon_H13f); [ zenon_intro zenon_He3 | zenon_intro zenon_H140 ].
% 55.30/55.40 apply (zenon_L43_); trivial.
% 55.30/55.40 apply (zenon_or_s _ _ zenon_H140); [ zenon_intro zenon_He6 | zenon_intro zenon_H141 ].
% 55.30/55.40 apply (zenon_L44_); trivial.
% 55.30/55.40 apply (zenon_or_s _ _ zenon_H141); [ zenon_intro zenon_H142 | zenon_intro zenon_H108 ].
% 55.30/55.40 apply (zenon_L328_); trivial.
% 55.30/55.40 apply (zenon_L54_); trivial.
% 55.30/55.40 apply (zenon_or_s _ _ zenon_H64d); [ zenon_intro zenon_H413 | zenon_intro zenon_H443 ].
% 55.30/55.40 apply (zenon_L418_); trivial.
% 55.30/55.40 apply (zenon_L468_); trivial.
% 55.30/55.40 apply (zenon_notand_s _ _ zenon_H664); [ zenon_intro zenon_H4e9 | zenon_intro zenon_H665 ].
% 55.30/55.40 apply (zenon_or_s _ _ zenon_H63b); [ zenon_intro zenon_H127 | zenon_intro zenon_H64c ].
% 55.30/55.40 apply (zenon_L58_); trivial.
% 55.30/55.40 apply (zenon_or_s _ _ zenon_H64c); [ zenon_intro zenon_H64e | zenon_intro zenon_H64d ].
% 55.30/55.40 apply (zenon_and_s _ _ zenon_H64e). zenon_intro zenon_H514. zenon_intro zenon_H64f.
% 55.30/55.40 apply (zenon_and_s _ _ zenon_H64f). zenon_intro zenon_H499. zenon_intro zenon_H650.
% 55.30/55.40 apply (zenon_and_s _ _ zenon_H650). zenon_intro zenon_H481. zenon_intro zenon_H651.
% 55.30/55.40 apply (zenon_and_s _ _ zenon_H651). zenon_intro zenon_H395. zenon_intro zenon_H652.
% 55.30/55.40 apply (zenon_and_s _ _ zenon_H652). zenon_intro zenon_H654. zenon_intro zenon_H653.
% 55.30/55.40 apply (zenon_and_s _ _ zenon_H653). zenon_intro zenon_H656. zenon_intro zenon_H655.
% 55.30/55.40 apply (zenon_and_s _ _ zenon_H655). zenon_intro zenon_H3c0. zenon_intro zenon_H3c1.
% 55.30/55.40 apply (zenon_or_s _ _ zenon_H3c0); [ zenon_intro zenon_H101 | zenon_intro zenon_Hd3 ].
% 55.30/55.40 apply (zenon_or_s _ _ zenon_H3c1); [ zenon_intro zenon_H383 | zenon_intro zenon_He8 ].
% 55.30/55.40 apply (zenon_or_s _ _ zenon_H128); [ zenon_intro zenon_H2b | zenon_intro zenon_H134 ].
% 55.30/55.40 apply (zenon_L5_); trivial.
% 55.30/55.40 apply (zenon_or_s _ _ zenon_H134); [ zenon_intro zenon_H4f | zenon_intro zenon_H135 ].
% 55.30/55.40 apply (zenon_L12_); trivial.
% 55.30/55.40 apply (zenon_or_s _ _ zenon_H135); [ zenon_intro zenon_H77 | zenon_intro zenon_H136 ].
% 55.30/55.40 apply (zenon_L756_); trivial.
% 55.30/55.40 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_H89 | zenon_intro zenon_H137 ].
% 55.30/55.40 apply (zenon_L316_); trivial.
% 55.30/55.40 apply (zenon_or_s _ _ zenon_H137); [ zenon_intro zenon_Hb6 | zenon_intro zenon_H138 ].
% 55.30/55.40 apply (zenon_L770_); trivial.
% 55.30/55.40 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H139 ].
% 55.30/55.40 apply (zenon_L32_); trivial.
% 55.30/55.40 apply (zenon_or_s _ _ zenon_H139); [ zenon_intro zenon_Hc8 | zenon_intro zenon_H13a ].
% 55.30/55.40 apply (zenon_L35_); trivial.
% 55.30/55.40 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_Hcd | zenon_intro zenon_H13b ].
% 55.30/55.40 apply (zenon_L321_); trivial.
% 55.30/55.40 apply (zenon_or_s _ _ zenon_H13b); [ zenon_intro zenon_Hcf | zenon_intro zenon_H13c ].
% 55.30/55.40 apply (zenon_L38_); trivial.
% 55.30/55.40 apply (zenon_or_s _ _ zenon_H13c); [ zenon_intro zenon_Hd1 | zenon_intro zenon_H13d ].
% 55.30/55.40 apply (zenon_L39_); trivial.
% 55.30/55.40 apply (zenon_or_s _ _ zenon_H13d); [ zenon_intro zenon_Hd8 | zenon_intro zenon_H13e ].
% 55.30/55.40 apply (zenon_L41_); trivial.
% 55.30/55.40 apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_He0 | zenon_intro zenon_H13f ].
% 55.30/55.40 apply (zenon_L42_); trivial.
% 55.30/55.40 apply (zenon_or_s _ _ zenon_H13f); [ zenon_intro zenon_He3 | zenon_intro zenon_H140 ].
% 55.30/55.40 apply (zenon_L43_); trivial.
% 55.30/55.40 apply (zenon_or_s _ _ zenon_H140); [ zenon_intro zenon_He6 | zenon_intro zenon_H141 ].
% 55.30/55.40 apply (zenon_L44_); trivial.
% 55.30/55.40 apply (zenon_or_s _ _ zenon_H141); [ zenon_intro zenon_H142 | zenon_intro zenon_H108 ].
% 55.30/55.40 apply (zenon_L328_); trivial.
% 55.30/55.40 apply (zenon_L54_); trivial.
% 55.30/55.40 apply (zenon_or_s _ _ zenon_H128); [ zenon_intro zenon_H2b | zenon_intro zenon_H134 ].
% 55.30/55.40 apply (zenon_L5_); trivial.
% 55.30/55.40 apply (zenon_or_s _ _ zenon_H134); [ zenon_intro zenon_H4f | zenon_intro zenon_H135 ].
% 55.30/55.40 apply (zenon_L12_); trivial.
% 55.30/55.40 apply (zenon_or_s _ _ zenon_H135); [ zenon_intro zenon_H77 | zenon_intro zenon_H136 ].
% 55.30/55.40 apply (zenon_L756_); trivial.
% 55.30/55.40 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_H89 | zenon_intro zenon_H137 ].
% 55.30/55.40 apply (zenon_L329_); trivial.
% 55.30/55.40 apply (zenon_or_s _ _ zenon_H137); [ zenon_intro zenon_Hb6 | zenon_intro zenon_H138 ].
% 55.30/55.40 apply (zenon_L770_); trivial.
% 55.30/55.40 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H139 ].
% 55.30/55.40 apply (zenon_L32_); trivial.
% 55.30/55.40 apply (zenon_or_s _ _ zenon_H139); [ zenon_intro zenon_Hc8 | zenon_intro zenon_H13a ].
% 55.30/55.40 apply (zenon_L35_); trivial.
% 55.30/55.40 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_Hcd | zenon_intro zenon_H13b ].
% 55.30/55.40 apply (zenon_L321_); trivial.
% 55.30/55.40 apply (zenon_or_s _ _ zenon_H13b); [ zenon_intro zenon_Hcf | zenon_intro zenon_H13c ].
% 55.30/55.40 apply (zenon_L38_); trivial.
% 55.30/55.40 apply (zenon_or_s _ _ zenon_H13c); [ zenon_intro zenon_Hd1 | zenon_intro zenon_H13d ].
% 55.30/55.40 apply (zenon_L39_); trivial.
% 55.30/55.40 apply (zenon_or_s _ _ zenon_H13d); [ zenon_intro zenon_Hd8 | zenon_intro zenon_H13e ].
% 55.30/55.40 apply (zenon_L41_); trivial.
% 55.30/55.40 apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_He0 | zenon_intro zenon_H13f ].
% 55.30/55.40 apply (zenon_L42_); trivial.
% 55.30/55.40 apply (zenon_or_s _ _ zenon_H13f); [ zenon_intro zenon_He3 | zenon_intro zenon_H140 ].
% 55.30/55.40 apply (zenon_L43_); trivial.
% 55.30/55.40 apply (zenon_or_s _ _ zenon_H140); [ zenon_intro zenon_He6 | zenon_intro zenon_H141 ].
% 55.30/55.40 apply (zenon_L44_); trivial.
% 55.30/55.40 apply (zenon_or_s _ _ zenon_H141); [ zenon_intro zenon_H142 | zenon_intro zenon_H108 ].
% 55.30/55.40 apply (zenon_L328_); trivial.
% 55.30/55.40 apply (zenon_L54_); trivial.
% 55.30/55.40 apply (zenon_L771_); trivial.
% 55.30/55.40 apply (zenon_or_s _ _ zenon_H64d); [ zenon_intro zenon_H413 | zenon_intro zenon_H443 ].
% 55.30/55.40 apply (zenon_L418_); trivial.
% 55.30/55.40 apply (zenon_L468_); trivial.
% 55.30/55.40 apply (zenon_notand_s _ _ zenon_H665); [ zenon_intro zenon_H4f4 | zenon_intro zenon_H666 ].
% 55.30/55.40 apply (zenon_or_s _ _ zenon_H63b); [ zenon_intro zenon_H127 | zenon_intro zenon_H64c ].
% 55.30/55.40 apply (zenon_L58_); trivial.
% 55.30/55.40 apply (zenon_or_s _ _ zenon_H64c); [ zenon_intro zenon_H64e | zenon_intro zenon_H64d ].
% 55.30/55.40 apply (zenon_and_s _ _ zenon_H64e). zenon_intro zenon_H514. zenon_intro zenon_H64f.
% 55.30/55.40 apply (zenon_and_s _ _ zenon_H64f). zenon_intro zenon_H499. zenon_intro zenon_H650.
% 55.30/55.40 apply (zenon_and_s _ _ zenon_H650). zenon_intro zenon_H481. zenon_intro zenon_H651.
% 55.30/55.40 apply (zenon_and_s _ _ zenon_H651). zenon_intro zenon_H395. zenon_intro zenon_H652.
% 55.30/55.40 apply (zenon_and_s _ _ zenon_H652). zenon_intro zenon_H654. zenon_intro zenon_H653.
% 55.30/55.40 apply (zenon_and_s _ _ zenon_H653). zenon_intro zenon_H656. zenon_intro zenon_H655.
% 55.30/55.40 apply (zenon_and_s _ _ zenon_H655). zenon_intro zenon_H3c0. zenon_intro zenon_H3c1.
% 55.30/55.40 apply (zenon_or_s _ _ zenon_H3c0); [ zenon_intro zenon_H101 | zenon_intro zenon_Hd3 ].
% 55.30/55.40 apply (zenon_or_s _ _ zenon_H3c1); [ zenon_intro zenon_H383 | zenon_intro zenon_He8 ].
% 55.30/55.40 apply (zenon_or_s _ _ zenon_H128); [ zenon_intro zenon_H2b | zenon_intro zenon_H134 ].
% 55.30/55.40 apply (zenon_L5_); trivial.
% 55.30/55.40 apply (zenon_or_s _ _ zenon_H134); [ zenon_intro zenon_H4f | zenon_intro zenon_H135 ].
% 55.30/55.40 apply (zenon_L12_); trivial.
% 55.30/55.40 apply (zenon_or_s _ _ zenon_H135); [ zenon_intro zenon_H77 | zenon_intro zenon_H136 ].
% 55.30/55.40 apply (zenon_L797_); trivial.
% 55.30/55.40 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_H89 | zenon_intro zenon_H137 ].
% 55.30/55.40 apply (zenon_L316_); trivial.
% 55.30/55.40 apply (zenon_or_s _ _ zenon_H137); [ zenon_intro zenon_Hb6 | zenon_intro zenon_H138 ].
% 55.30/55.40 apply (zenon_L819_); trivial.
% 55.30/55.40 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H139 ].
% 55.30/55.40 apply (zenon_L32_); trivial.
% 55.30/55.40 apply (zenon_or_s _ _ zenon_H139); [ zenon_intro zenon_Hc8 | zenon_intro zenon_H13a ].
% 55.30/55.40 apply (zenon_L35_); trivial.
% 55.30/55.40 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_Hcd | zenon_intro zenon_H13b ].
% 55.30/55.40 apply (zenon_L321_); trivial.
% 55.30/55.40 apply (zenon_or_s _ _ zenon_H13b); [ zenon_intro zenon_Hcf | zenon_intro zenon_H13c ].
% 55.30/55.40 apply (zenon_L38_); trivial.
% 55.30/55.40 apply (zenon_or_s _ _ zenon_H13c); [ zenon_intro zenon_Hd1 | zenon_intro zenon_H13d ].
% 55.30/55.40 apply (zenon_L39_); trivial.
% 55.30/55.40 apply (zenon_or_s _ _ zenon_H13d); [ zenon_intro zenon_Hd8 | zenon_intro zenon_H13e ].
% 55.30/55.40 apply (zenon_L41_); trivial.
% 55.30/55.40 apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_He0 | zenon_intro zenon_H13f ].
% 55.30/55.40 apply (zenon_L42_); trivial.
% 55.30/55.40 apply (zenon_or_s _ _ zenon_H13f); [ zenon_intro zenon_He3 | zenon_intro zenon_H140 ].
% 55.30/55.40 apply (zenon_L43_); trivial.
% 55.30/55.40 apply (zenon_or_s _ _ zenon_H140); [ zenon_intro zenon_He6 | zenon_intro zenon_H141 ].
% 55.30/55.40 apply (zenon_L44_); trivial.
% 55.30/55.40 apply (zenon_or_s _ _ zenon_H141); [ zenon_intro zenon_H142 | zenon_intro zenon_H108 ].
% 55.30/55.40 apply (zenon_L328_); trivial.
% 55.30/55.40 apply (zenon_L54_); trivial.
% 55.30/55.40 apply (zenon_or_s _ _ zenon_H128); [ zenon_intro zenon_H2b | zenon_intro zenon_H134 ].
% 55.30/55.40 apply (zenon_L5_); trivial.
% 55.30/55.40 apply (zenon_or_s _ _ zenon_H134); [ zenon_intro zenon_H4f | zenon_intro zenon_H135 ].
% 55.30/55.40 apply (zenon_L12_); trivial.
% 55.30/55.40 apply (zenon_or_s _ _ zenon_H135); [ zenon_intro zenon_H77 | zenon_intro zenon_H136 ].
% 55.30/55.40 apply (zenon_L797_); trivial.
% 55.30/55.40 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_H89 | zenon_intro zenon_H137 ].
% 55.30/55.40 apply (zenon_L329_); trivial.
% 55.30/55.40 apply (zenon_or_s _ _ zenon_H137); [ zenon_intro zenon_Hb6 | zenon_intro zenon_H138 ].
% 55.30/55.40 apply (zenon_L819_); trivial.
% 55.30/55.40 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H139 ].
% 55.30/55.40 apply (zenon_L32_); trivial.
% 55.30/55.40 apply (zenon_or_s _ _ zenon_H139); [ zenon_intro zenon_Hc8 | zenon_intro zenon_H13a ].
% 55.30/55.40 apply (zenon_L35_); trivial.
% 55.30/55.40 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_Hcd | zenon_intro zenon_H13b ].
% 55.30/55.40 apply (zenon_L331_); trivial.
% 55.30/55.40 apply (zenon_or_s _ _ zenon_H13b); [ zenon_intro zenon_Hcf | zenon_intro zenon_H13c ].
% 55.30/55.40 apply (zenon_L38_); trivial.
% 55.30/55.40 apply (zenon_or_s _ _ zenon_H13c); [ zenon_intro zenon_Hd1 | zenon_intro zenon_H13d ].
% 55.30/55.40 apply (zenon_L39_); trivial.
% 55.30/55.40 apply (zenon_or_s _ _ zenon_H13d); [ zenon_intro zenon_Hd8 | zenon_intro zenon_H13e ].
% 55.30/55.40 apply (zenon_L41_); trivial.
% 55.30/55.40 apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_He0 | zenon_intro zenon_H13f ].
% 55.30/55.40 apply (zenon_L42_); trivial.
% 55.30/55.40 apply (zenon_or_s _ _ zenon_H13f); [ zenon_intro zenon_He3 | zenon_intro zenon_H140 ].
% 55.30/55.40 apply (zenon_L43_); trivial.
% 55.30/55.40 apply (zenon_or_s _ _ zenon_H140); [ zenon_intro zenon_He6 | zenon_intro zenon_H141 ].
% 55.30/55.40 apply (zenon_L44_); trivial.
% 55.30/55.40 apply (zenon_or_s _ _ zenon_H141); [ zenon_intro zenon_H142 | zenon_intro zenon_H108 ].
% 55.30/55.40 apply (zenon_L328_); trivial.
% 55.30/55.40 apply (zenon_L54_); trivial.
% 55.30/55.40 apply (zenon_or_s _ _ zenon_H3c1); [ zenon_intro zenon_H383 | zenon_intro zenon_He8 ].
% 55.30/55.40 apply (zenon_or_s _ _ zenon_H128); [ zenon_intro zenon_H2b | zenon_intro zenon_H134 ].
% 55.30/55.40 apply (zenon_L5_); trivial.
% 55.30/55.40 apply (zenon_or_s _ _ zenon_H134); [ zenon_intro zenon_H4f | zenon_intro zenon_H135 ].
% 55.30/55.40 apply (zenon_L12_); trivial.
% 55.30/55.40 apply (zenon_or_s _ _ zenon_H135); [ zenon_intro zenon_H77 | zenon_intro zenon_H136 ].
% 55.30/55.40 apply (zenon_L820_); trivial.
% 55.30/55.40 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_H89 | zenon_intro zenon_H137 ].
% 55.30/55.40 apply (zenon_L316_); trivial.
% 55.30/55.40 apply (zenon_or_s _ _ zenon_H137); [ zenon_intro zenon_Hb6 | zenon_intro zenon_H138 ].
% 55.30/55.40 apply (zenon_L843_); trivial.
% 55.30/55.40 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H139 ].
% 55.30/55.40 apply (zenon_L32_); trivial.
% 55.30/55.40 apply (zenon_or_s _ _ zenon_H139); [ zenon_intro zenon_Hc8 | zenon_intro zenon_H13a ].
% 55.30/55.40 apply (zenon_L35_); trivial.
% 55.30/55.40 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_Hcd | zenon_intro zenon_H13b ].
% 55.30/55.40 apply (zenon_L321_); trivial.
% 55.30/55.40 apply (zenon_or_s _ _ zenon_H13b); [ zenon_intro zenon_Hcf | zenon_intro zenon_H13c ].
% 55.30/55.40 apply (zenon_L38_); trivial.
% 55.30/55.40 apply (zenon_or_s _ _ zenon_H13c); [ zenon_intro zenon_Hd1 | zenon_intro zenon_H13d ].
% 55.30/55.40 apply (zenon_L39_); trivial.
% 55.30/55.40 apply (zenon_or_s _ _ zenon_H13d); [ zenon_intro zenon_Hd8 | zenon_intro zenon_H13e ].
% 55.30/55.40 apply (zenon_L41_); trivial.
% 55.30/55.40 apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_He0 | zenon_intro zenon_H13f ].
% 55.30/55.40 apply (zenon_L42_); trivial.
% 55.30/55.40 apply (zenon_or_s _ _ zenon_H13f); [ zenon_intro zenon_He3 | zenon_intro zenon_H140 ].
% 55.30/55.40 apply (zenon_L43_); trivial.
% 55.30/55.40 apply (zenon_or_s _ _ zenon_H140); [ zenon_intro zenon_He6 | zenon_intro zenon_H141 ].
% 55.30/55.40 apply (zenon_L44_); trivial.
% 55.30/55.40 apply (zenon_or_s _ _ zenon_H141); [ zenon_intro zenon_H142 | zenon_intro zenon_H108 ].
% 55.30/55.40 apply (zenon_L328_); trivial.
% 55.30/55.40 apply (zenon_L54_); trivial.
% 55.30/55.40 apply (zenon_or_s _ _ zenon_H128); [ zenon_intro zenon_H2b | zenon_intro zenon_H134 ].
% 55.30/55.40 apply (zenon_L5_); trivial.
% 55.30/55.40 apply (zenon_or_s _ _ zenon_H134); [ zenon_intro zenon_H4f | zenon_intro zenon_H135 ].
% 55.30/55.40 apply (zenon_L12_); trivial.
% 55.30/55.40 apply (zenon_or_s _ _ zenon_H135); [ zenon_intro zenon_H77 | zenon_intro zenon_H136 ].
% 55.30/55.40 apply (zenon_L820_); trivial.
% 55.30/55.40 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_H89 | zenon_intro zenon_H137 ].
% 55.30/55.40 apply (zenon_L329_); trivial.
% 55.30/55.40 apply (zenon_or_s _ _ zenon_H137); [ zenon_intro zenon_Hb6 | zenon_intro zenon_H138 ].
% 55.30/55.40 apply (zenon_L843_); trivial.
% 55.30/55.40 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H139 ].
% 55.30/55.40 apply (zenon_L32_); trivial.
% 55.30/55.40 apply (zenon_or_s _ _ zenon_H139); [ zenon_intro zenon_Hc8 | zenon_intro zenon_H13a ].
% 55.30/55.40 apply (zenon_L35_); trivial.
% 55.30/55.40 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_Hcd | zenon_intro zenon_H13b ].
% 55.30/55.40 apply (zenon_L331_); trivial.
% 55.30/55.40 apply (zenon_or_s _ _ zenon_H13b); [ zenon_intro zenon_Hcf | zenon_intro zenon_H13c ].
% 55.30/55.40 apply (zenon_L38_); trivial.
% 55.30/55.40 apply (zenon_or_s _ _ zenon_H13c); [ zenon_intro zenon_Hd1 | zenon_intro zenon_H13d ].
% 55.30/55.40 apply (zenon_L39_); trivial.
% 55.30/55.40 apply (zenon_or_s _ _ zenon_H13d); [ zenon_intro zenon_Hd8 | zenon_intro zenon_H13e ].
% 55.30/55.40 apply (zenon_L41_); trivial.
% 55.30/55.40 apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_He0 | zenon_intro zenon_H13f ].
% 55.30/55.40 apply (zenon_L42_); trivial.
% 55.30/55.40 apply (zenon_or_s _ _ zenon_H13f); [ zenon_intro zenon_He3 | zenon_intro zenon_H140 ].
% 55.30/55.40 apply (zenon_L43_); trivial.
% 55.30/55.40 apply (zenon_or_s _ _ zenon_H140); [ zenon_intro zenon_He6 | zenon_intro zenon_H141 ].
% 55.30/55.40 apply (zenon_L44_); trivial.
% 55.30/55.40 apply (zenon_or_s _ _ zenon_H141); [ zenon_intro zenon_H142 | zenon_intro zenon_H108 ].
% 55.30/55.40 apply (zenon_L328_); trivial.
% 55.30/55.40 apply (zenon_L54_); trivial.
% 55.30/55.40 apply (zenon_or_s _ _ zenon_H64d); [ zenon_intro zenon_H413 | zenon_intro zenon_H443 ].
% 55.30/55.40 apply (zenon_L418_); trivial.
% 55.30/55.40 apply (zenon_L468_); trivial.
% 55.30/55.40 apply (zenon_notand_s _ _ zenon_H666); [ zenon_intro zenon_H505 | zenon_intro zenon_H667 ].
% 55.30/55.40 apply (zenon_or_s _ _ zenon_H63b); [ zenon_intro zenon_H127 | zenon_intro zenon_H64c ].
% 55.30/55.40 apply (zenon_L58_); trivial.
% 55.30/55.40 apply (zenon_or_s _ _ zenon_H64c); [ zenon_intro zenon_H64e | zenon_intro zenon_H64d ].
% 55.30/55.40 apply (zenon_and_s _ _ zenon_H64e). zenon_intro zenon_H514. zenon_intro zenon_H64f.
% 55.30/55.40 apply (zenon_and_s _ _ zenon_H64f). zenon_intro zenon_H499. zenon_intro zenon_H650.
% 55.30/55.40 apply (zenon_and_s _ _ zenon_H650). zenon_intro zenon_H481. zenon_intro zenon_H651.
% 55.30/55.40 apply (zenon_and_s _ _ zenon_H651). zenon_intro zenon_H395. zenon_intro zenon_H652.
% 55.30/55.40 apply (zenon_and_s _ _ zenon_H652). zenon_intro zenon_H654. zenon_intro zenon_H653.
% 55.30/55.40 apply (zenon_and_s _ _ zenon_H653). zenon_intro zenon_H656. zenon_intro zenon_H655.
% 55.30/55.40 apply (zenon_and_s _ _ zenon_H655). zenon_intro zenon_H3c0. zenon_intro zenon_H3c1.
% 55.30/55.40 apply (zenon_or_s _ _ zenon_H3c0); [ zenon_intro zenon_H101 | zenon_intro zenon_Hd3 ].
% 55.30/55.40 apply (zenon_or_s _ _ zenon_H3c1); [ zenon_intro zenon_H383 | zenon_intro zenon_He8 ].
% 55.30/55.40 apply (zenon_or_s _ _ zenon_H128); [ zenon_intro zenon_H2b | zenon_intro zenon_H134 ].
% 55.30/55.40 apply (zenon_L5_); trivial.
% 55.30/55.40 apply (zenon_or_s _ _ zenon_H134); [ zenon_intro zenon_H4f | zenon_intro zenon_H135 ].
% 55.30/55.40 apply (zenon_L12_); trivial.
% 55.30/55.40 apply (zenon_or_s _ _ zenon_H135); [ zenon_intro zenon_H77 | zenon_intro zenon_H136 ].
% 55.30/55.40 apply (zenon_L895_); trivial.
% 55.30/55.40 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_H89 | zenon_intro zenon_H137 ].
% 55.30/55.40 apply (zenon_L316_); trivial.
% 55.30/55.40 apply (zenon_or_s _ _ zenon_H137); [ zenon_intro zenon_Hb6 | zenon_intro zenon_H138 ].
% 55.30/55.40 apply (zenon_and_s _ _ zenon_Hb6). zenon_intro zenon_H4e. zenon_intro zenon_Hb8.
% 55.30/55.40 apply (zenon_and_s _ _ zenon_Hb8). zenon_intro zenon_Hb9. zenon_intro zenon_H2e.
% 55.30/55.40 apply (zenon_or_s _ _ zenon_H36e); [ zenon_intro zenon_H244 | zenon_intro zenon_H36f ].
% 55.30/55.40 apply (zenon_L126_); trivial.
% 55.30/55.40 apply (zenon_or_s _ _ zenon_H36f); [ zenon_intro zenon_H371 | zenon_intro zenon_H370 ].
% 55.30/55.40 apply (zenon_and_s _ _ zenon_H371). zenon_intro zenon_H292. zenon_intro zenon_H372.
% 55.30/55.40 apply (zenon_and_s _ _ zenon_H372). zenon_intro zenon_H2a6. zenon_intro zenon_H373.
% 55.30/55.40 apply (zenon_and_s _ _ zenon_H373). zenon_intro zenon_H375. zenon_intro zenon_H374.
% 55.30/55.40 apply (zenon_and_s _ _ zenon_H374). zenon_intro zenon_H29e. zenon_intro zenon_H376.
% 55.30/55.40 apply (zenon_and_s _ _ zenon_H376). zenon_intro zenon_H378. zenon_intro zenon_H377.
% 55.30/55.40 apply (zenon_and_s _ _ zenon_H377). zenon_intro zenon_H37a. zenon_intro zenon_H379.
% 55.30/55.40 apply (zenon_and_s _ _ zenon_H379). zenon_intro zenon_H37c. zenon_intro zenon_H37b.
% 55.30/55.40 apply (zenon_or_s _ _ zenon_H37a); [ zenon_intro zenon_H473 | zenon_intro zenon_H1a7 ].
% 55.30/55.40 apply (zenon_or_s _ _ zenon_H37c); [ zenon_intro zenon_H23f | zenon_intro zenon_H202 ].
% 55.30/55.40 apply (zenon_or_s _ _ zenon_H37b); [ zenon_intro zenon_H20d | zenon_intro zenon_H1c3 ].
% 55.30/55.40 apply (zenon_or_s _ _ zenon_H245); [ zenon_intro zenon_H147 | zenon_intro zenon_H254 ].
% 55.30/55.40 apply (zenon_L60_); trivial.
% 55.30/55.40 apply (zenon_or_s _ _ zenon_H254); [ zenon_intro zenon_H164 | zenon_intro zenon_H255 ].
% 55.30/55.40 apply (zenon_L66_); trivial.
% 55.30/55.40 apply (zenon_or_s _ _ zenon_H255); [ zenon_intro zenon_H197 | zenon_intro zenon_H256 ].
% 55.30/55.40 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_H18f. zenon_intro zenon_H198.
% 55.30/55.40 apply (zenon_and_s _ _ zenon_H198). zenon_intro zenon_H293. zenon_intro zenon_H227.
% 55.30/55.40 apply (zenon_and_s _ _ zenon_H227). zenon_intro zenon_H229. zenon_intro zenon_H228.
% 55.30/55.40 apply (zenon_and_s _ _ zenon_H228). zenon_intro zenon_H22b. zenon_intro zenon_H22a.
% 55.30/55.40 apply (zenon_and_s _ _ zenon_H22a). zenon_intro zenon_H224. zenon_intro zenon_H22c.
% 55.30/55.40 apply (zenon_or_s _ _ zenon_H229); [ zenon_intro zenon_H21f | zenon_intro zenon_H1db ].
% 55.30/55.40 apply (zenon_L897_); trivial.
% 55.30/55.40 apply (zenon_or_s _ _ zenon_H224); [ zenon_intro zenon_H1d1 | zenon_intro zenon_H1d1 ].
% 55.30/55.40 apply (zenon_L898_); trivial.
% 55.30/55.40 apply (zenon_L898_); trivial.
% 55.30/55.40 apply (zenon_or_s _ _ zenon_H256); [ zenon_intro zenon_H199 | zenon_intro zenon_H257 ].
% 55.30/55.40 apply (zenon_L77_); trivial.
% 55.30/55.40 apply (zenon_or_s _ _ zenon_H257); [ zenon_intro zenon_H259 | zenon_intro zenon_H258 ].
% 55.30/55.40 apply (zenon_L900_); trivial.
% 55.30/55.40 apply (zenon_or_s _ _ zenon_H258); [ zenon_intro zenon_H1a5 | zenon_intro zenon_H262 ].
% 55.30/55.40 apply (zenon_L80_); trivial.
% 55.30/55.40 apply (zenon_or_s _ _ zenon_H262); [ zenon_intro zenon_H1ae | zenon_intro zenon_H263 ].
% 55.30/55.40 apply (zenon_L83_); trivial.
% 55.30/55.40 apply (zenon_or_s _ _ zenon_H263); [ zenon_intro zenon_H212 | zenon_intro zenon_H264 ].
% 55.30/55.40 apply (zenon_L161_); trivial.
% 55.30/55.40 apply (zenon_or_s _ _ zenon_H264); [ zenon_intro zenon_H220 | zenon_intro zenon_H265 ].
% 55.30/55.40 apply (zenon_L110_); trivial.
% 55.30/55.40 apply (zenon_or_s _ _ zenon_H265); [ zenon_intro zenon_H222 | zenon_intro zenon_H266 ].
% 55.30/55.40 apply (zenon_L111_); trivial.
% 55.30/55.40 apply (zenon_or_s _ _ zenon_H266); [ zenon_intro zenon_H225 | zenon_intro zenon_H267 ].
% 55.30/55.40 apply (zenon_L113_); trivial.
% 55.30/55.40 apply (zenon_or_s _ _ zenon_H267); [ zenon_intro zenon_H22d | zenon_intro zenon_H268 ].
% 55.30/55.40 apply (zenon_L114_); trivial.
% 55.30/55.40 apply (zenon_or_s _ _ zenon_H268); [ zenon_intro zenon_H230 | zenon_intro zenon_H269 ].
% 55.30/55.40 apply (zenon_L115_); trivial.
% 55.30/55.40 apply (zenon_or_s _ _ zenon_H269); [ zenon_intro zenon_H232 | zenon_intro zenon_H26a ].
% 55.30/55.40 apply (zenon_L116_); trivial.
% 55.30/55.40 apply (zenon_or_s _ _ zenon_H26a); [ zenon_intro zenon_H240 | zenon_intro zenon_H242 ].
% 55.30/55.40 apply (zenon_L166_); trivial.
% 55.30/55.40 apply (zenon_L125_); trivial.
% 55.30/55.40 apply (zenon_or_s _ _ zenon_H245); [ zenon_intro zenon_H147 | zenon_intro zenon_H254 ].
% 55.30/55.40 apply (zenon_L60_); trivial.
% 55.30/55.40 apply (zenon_or_s _ _ zenon_H254); [ zenon_intro zenon_H164 | zenon_intro zenon_H255 ].
% 55.30/55.40 apply (zenon_L66_); trivial.
% 55.30/55.40 apply (zenon_or_s _ _ zenon_H255); [ zenon_intro zenon_H197 | zenon_intro zenon_H256 ].
% 55.30/55.40 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_H18f. zenon_intro zenon_H198.
% 55.30/55.40 apply (zenon_and_s _ _ zenon_H198). zenon_intro zenon_H293. zenon_intro zenon_H227.
% 55.30/55.40 apply (zenon_and_s _ _ zenon_H227). zenon_intro zenon_H229. zenon_intro zenon_H228.
% 55.30/55.40 apply (zenon_and_s _ _ zenon_H228). zenon_intro zenon_H22b. zenon_intro zenon_H22a.
% 55.30/55.40 apply (zenon_and_s _ _ zenon_H22a). zenon_intro zenon_H224. zenon_intro zenon_H22c.
% 55.30/55.40 apply (zenon_or_s _ _ zenon_H229); [ zenon_intro zenon_H21f | zenon_intro zenon_H1db ].
% 55.30/55.40 apply (zenon_L897_); trivial.
% 55.30/55.40 apply (zenon_or_s _ _ zenon_H224); [ zenon_intro zenon_H1d1 | zenon_intro zenon_H1d1 ].
% 55.30/55.40 apply (zenon_L901_); trivial.
% 55.30/55.40 apply (zenon_L901_); trivial.
% 55.30/55.40 apply (zenon_or_s _ _ zenon_H256); [ zenon_intro zenon_H199 | zenon_intro zenon_H257 ].
% 55.30/55.40 apply (zenon_L77_); trivial.
% 55.30/55.40 apply (zenon_or_s _ _ zenon_H257); [ zenon_intro zenon_H259 | zenon_intro zenon_H258 ].
% 55.30/55.40 apply (zenon_L900_); trivial.
% 55.30/55.40 apply (zenon_or_s _ _ zenon_H258); [ zenon_intro zenon_H1a5 | zenon_intro zenon_H262 ].
% 55.30/55.40 apply (zenon_L80_); trivial.
% 55.30/55.40 apply (zenon_or_s _ _ zenon_H262); [ zenon_intro zenon_H1ae | zenon_intro zenon_H263 ].
% 55.30/55.40 apply (zenon_L83_); trivial.
% 55.30/55.40 apply (zenon_or_s _ _ zenon_H263); [ zenon_intro zenon_H212 | zenon_intro zenon_H264 ].
% 55.30/55.40 apply (zenon_L167_); trivial.
% 55.30/55.40 apply (zenon_or_s _ _ zenon_H264); [ zenon_intro zenon_H220 | zenon_intro zenon_H265 ].
% 55.30/55.40 apply (zenon_L110_); trivial.
% 55.30/55.40 apply (zenon_or_s _ _ zenon_H265); [ zenon_intro zenon_H222 | zenon_intro zenon_H266 ].
% 55.30/55.40 apply (zenon_L111_); trivial.
% 55.30/55.40 apply (zenon_or_s _ _ zenon_H266); [ zenon_intro zenon_H225 | zenon_intro zenon_H267 ].
% 55.30/55.40 apply (zenon_L113_); trivial.
% 55.30/55.40 apply (zenon_or_s _ _ zenon_H267); [ zenon_intro zenon_H22d | zenon_intro zenon_H268 ].
% 55.30/55.40 apply (zenon_L114_); trivial.
% 55.30/55.40 apply (zenon_or_s _ _ zenon_H268); [ zenon_intro zenon_H230 | zenon_intro zenon_H269 ].
% 55.30/55.40 apply (zenon_L115_); trivial.
% 55.30/55.40 apply (zenon_or_s _ _ zenon_H269); [ zenon_intro zenon_H232 | zenon_intro zenon_H26a ].
% 55.30/55.40 apply (zenon_L116_); trivial.
% 55.30/55.40 apply (zenon_or_s _ _ zenon_H26a); [ zenon_intro zenon_H240 | zenon_intro zenon_H242 ].
% 55.30/55.40 apply (zenon_L166_); trivial.
% 55.30/55.40 apply (zenon_L125_); trivial.
% 55.30/55.40 apply (zenon_L903_); trivial.
% 55.30/55.40 apply (zenon_L532_); trivial.
% 55.30/55.40 apply (zenon_or_s _ _ zenon_H370); [ zenon_intro zenon_H335 | zenon_intro zenon_H363 ].
% 55.30/55.40 apply (zenon_L260_); trivial.
% 55.30/55.40 apply (zenon_L307_); trivial.
% 55.30/55.40 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H139 ].
% 55.30/55.40 apply (zenon_L32_); trivial.
% 55.30/55.40 apply (zenon_or_s _ _ zenon_H139); [ zenon_intro zenon_Hc8 | zenon_intro zenon_H13a ].
% 55.30/55.40 apply (zenon_L35_); trivial.
% 55.30/55.40 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_Hcd | zenon_intro zenon_H13b ].
% 55.30/55.40 apply (zenon_L321_); trivial.
% 55.30/55.40 apply (zenon_or_s _ _ zenon_H13b); [ zenon_intro zenon_Hcf | zenon_intro zenon_H13c ].
% 55.30/55.40 apply (zenon_L38_); trivial.
% 55.30/55.40 apply (zenon_or_s _ _ zenon_H13c); [ zenon_intro zenon_Hd1 | zenon_intro zenon_H13d ].
% 55.30/55.40 apply (zenon_L39_); trivial.
% 55.30/55.40 apply (zenon_or_s _ _ zenon_H13d); [ zenon_intro zenon_Hd8 | zenon_intro zenon_H13e ].
% 55.30/55.40 apply (zenon_L41_); trivial.
% 55.30/55.40 apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_He0 | zenon_intro zenon_H13f ].
% 55.30/55.40 apply (zenon_L42_); trivial.
% 55.30/55.40 apply (zenon_or_s _ _ zenon_H13f); [ zenon_intro zenon_He3 | zenon_intro zenon_H140 ].
% 55.30/55.40 apply (zenon_L43_); trivial.
% 55.30/55.40 apply (zenon_or_s _ _ zenon_H140); [ zenon_intro zenon_He6 | zenon_intro zenon_H141 ].
% 55.30/55.40 apply (zenon_L44_); trivial.
% 55.30/55.40 apply (zenon_or_s _ _ zenon_H141); [ zenon_intro zenon_H142 | zenon_intro zenon_H108 ].
% 55.30/55.40 apply (zenon_L328_); trivial.
% 55.30/55.40 apply (zenon_L54_); trivial.
% 55.30/55.40 apply (zenon_L932_); trivial.
% 55.30/55.40 apply (zenon_or_s _ _ zenon_H3c1); [ zenon_intro zenon_H383 | zenon_intro zenon_He8 ].
% 55.30/55.40 apply (zenon_or_s _ _ zenon_H128); [ zenon_intro zenon_H2b | zenon_intro zenon_H134 ].
% 55.30/55.40 apply (zenon_L5_); trivial.
% 55.30/55.40 apply (zenon_or_s _ _ zenon_H134); [ zenon_intro zenon_H4f | zenon_intro zenon_H135 ].
% 55.30/55.40 apply (zenon_L12_); trivial.
% 55.30/55.40 apply (zenon_or_s _ _ zenon_H135); [ zenon_intro zenon_H77 | zenon_intro zenon_H136 ].
% 55.30/55.40 apply (zenon_L938_); trivial.
% 55.30/55.40 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_H89 | zenon_intro zenon_H137 ].
% 55.30/55.40 apply (zenon_L316_); trivial.
% 55.30/55.40 apply (zenon_or_s _ _ zenon_H137); [ zenon_intro zenon_Hb6 | zenon_intro zenon_H138 ].
% 55.30/55.40 apply (zenon_and_s _ _ zenon_Hb6). zenon_intro zenon_H4e. zenon_intro zenon_Hb8.
% 55.30/55.40 apply (zenon_and_s _ _ zenon_Hb8). zenon_intro zenon_Hb9. zenon_intro zenon_H2e.
% 55.30/55.40 apply (zenon_or_s _ _ zenon_H36e); [ zenon_intro zenon_H244 | zenon_intro zenon_H36f ].
% 55.30/55.40 apply (zenon_L126_); trivial.
% 55.30/55.40 apply (zenon_or_s _ _ zenon_H36f); [ zenon_intro zenon_H371 | zenon_intro zenon_H370 ].
% 55.30/55.40 apply (zenon_and_s _ _ zenon_H371). zenon_intro zenon_H292. zenon_intro zenon_H372.
% 55.30/55.40 apply (zenon_and_s _ _ zenon_H372). zenon_intro zenon_H2a6. zenon_intro zenon_H373.
% 55.30/55.40 apply (zenon_and_s _ _ zenon_H373). zenon_intro zenon_H375. zenon_intro zenon_H374.
% 55.30/55.40 apply (zenon_and_s _ _ zenon_H374). zenon_intro zenon_H29e. zenon_intro zenon_H376.
% 55.30/55.40 apply (zenon_and_s _ _ zenon_H376). zenon_intro zenon_H378. zenon_intro zenon_H377.
% 55.30/55.40 apply (zenon_and_s _ _ zenon_H377). zenon_intro zenon_H37a. zenon_intro zenon_H379.
% 55.30/55.40 apply (zenon_and_s _ _ zenon_H379). zenon_intro zenon_H37c. zenon_intro zenon_H37b.
% 55.30/55.40 apply (zenon_or_s _ _ zenon_H37a); [ zenon_intro zenon_H473 | zenon_intro zenon_H1a7 ].
% 55.30/55.40 apply (zenon_or_s _ _ zenon_H37c); [ zenon_intro zenon_H23f | zenon_intro zenon_H202 ].
% 55.30/55.40 apply (zenon_or_s _ _ zenon_H37b); [ zenon_intro zenon_H20d | zenon_intro zenon_H1c3 ].
% 55.30/55.40 apply (zenon_or_s _ _ zenon_H245); [ zenon_intro zenon_H147 | zenon_intro zenon_H254 ].
% 55.30/55.40 apply (zenon_L60_); trivial.
% 55.30/55.40 apply (zenon_or_s _ _ zenon_H254); [ zenon_intro zenon_H164 | zenon_intro zenon_H255 ].
% 55.30/55.40 apply (zenon_L66_); trivial.
% 55.30/55.40 apply (zenon_or_s _ _ zenon_H255); [ zenon_intro zenon_H197 | zenon_intro zenon_H256 ].
% 55.30/55.40 apply (zenon_L941_); trivial.
% 55.30/55.40 apply (zenon_or_s _ _ zenon_H256); [ zenon_intro zenon_H199 | zenon_intro zenon_H257 ].
% 55.30/55.40 apply (zenon_L77_); trivial.
% 55.30/55.40 apply (zenon_or_s _ _ zenon_H257); [ zenon_intro zenon_H259 | zenon_intro zenon_H258 ].
% 55.30/55.40 apply (zenon_L900_); trivial.
% 55.30/55.40 apply (zenon_or_s _ _ zenon_H258); [ zenon_intro zenon_H1a5 | zenon_intro zenon_H262 ].
% 55.30/55.40 apply (zenon_L80_); trivial.
% 55.30/55.40 apply (zenon_or_s _ _ zenon_H262); [ zenon_intro zenon_H1ae | zenon_intro zenon_H263 ].
% 55.30/55.40 apply (zenon_L83_); trivial.
% 55.30/55.40 apply (zenon_or_s _ _ zenon_H263); [ zenon_intro zenon_H212 | zenon_intro zenon_H264 ].
% 55.30/55.40 apply (zenon_L161_); trivial.
% 55.30/55.40 apply (zenon_or_s _ _ zenon_H264); [ zenon_intro zenon_H220 | zenon_intro zenon_H265 ].
% 55.30/55.40 apply (zenon_L110_); trivial.
% 55.30/55.40 apply (zenon_or_s _ _ zenon_H265); [ zenon_intro zenon_H222 | zenon_intro zenon_H266 ].
% 55.30/55.40 apply (zenon_L111_); trivial.
% 55.30/55.40 apply (zenon_or_s _ _ zenon_H266); [ zenon_intro zenon_H225 | zenon_intro zenon_H267 ].
% 55.30/55.40 apply (zenon_L113_); trivial.
% 55.30/55.40 apply (zenon_or_s _ _ zenon_H267); [ zenon_intro zenon_H22d | zenon_intro zenon_H268 ].
% 55.30/55.40 apply (zenon_L114_); trivial.
% 55.30/55.40 apply (zenon_or_s _ _ zenon_H268); [ zenon_intro zenon_H230 | zenon_intro zenon_H269 ].
% 55.30/55.40 apply (zenon_L115_); trivial.
% 55.30/55.40 apply (zenon_or_s _ _ zenon_H269); [ zenon_intro zenon_H232 | zenon_intro zenon_H26a ].
% 55.30/55.40 apply (zenon_L116_); trivial.
% 55.30/55.40 apply (zenon_or_s _ _ zenon_H26a); [ zenon_intro zenon_H240 | zenon_intro zenon_H242 ].
% 55.30/55.40 apply (zenon_L166_); trivial.
% 55.30/55.40 apply (zenon_L125_); trivial.
% 55.30/55.40 apply (zenon_or_s _ _ zenon_H245); [ zenon_intro zenon_H147 | zenon_intro zenon_H254 ].
% 55.30/55.40 apply (zenon_L60_); trivial.
% 55.30/55.40 apply (zenon_or_s _ _ zenon_H254); [ zenon_intro zenon_H164 | zenon_intro zenon_H255 ].
% 55.30/55.40 apply (zenon_L66_); trivial.
% 55.30/55.40 apply (zenon_or_s _ _ zenon_H255); [ zenon_intro zenon_H197 | zenon_intro zenon_H256 ].
% 55.30/55.40 apply (zenon_L941_); trivial.
% 55.30/55.40 apply (zenon_or_s _ _ zenon_H256); [ zenon_intro zenon_H199 | zenon_intro zenon_H257 ].
% 55.30/55.40 apply (zenon_L77_); trivial.
% 55.30/55.40 apply (zenon_or_s _ _ zenon_H257); [ zenon_intro zenon_H259 | zenon_intro zenon_H258 ].
% 55.30/55.40 apply (zenon_L900_); trivial.
% 55.30/55.40 apply (zenon_or_s _ _ zenon_H258); [ zenon_intro zenon_H1a5 | zenon_intro zenon_H262 ].
% 55.30/55.40 apply (zenon_L80_); trivial.
% 55.30/55.40 apply (zenon_or_s _ _ zenon_H262); [ zenon_intro zenon_H1ae | zenon_intro zenon_H263 ].
% 55.30/55.40 apply (zenon_L83_); trivial.
% 55.30/55.40 apply (zenon_or_s _ _ zenon_H263); [ zenon_intro zenon_H212 | zenon_intro zenon_H264 ].
% 55.30/55.40 apply (zenon_L167_); trivial.
% 55.30/55.40 apply (zenon_or_s _ _ zenon_H264); [ zenon_intro zenon_H220 | zenon_intro zenon_H265 ].
% 55.30/55.40 apply (zenon_L110_); trivial.
% 55.30/55.40 apply (zenon_or_s _ _ zenon_H265); [ zenon_intro zenon_H222 | zenon_intro zenon_H266 ].
% 55.30/55.40 apply (zenon_L111_); trivial.
% 55.30/55.40 apply (zenon_or_s _ _ zenon_H266); [ zenon_intro zenon_H225 | zenon_intro zenon_H267 ].
% 55.30/55.40 apply (zenon_L113_); trivial.
% 55.30/55.40 apply (zenon_or_s _ _ zenon_H267); [ zenon_intro zenon_H22d | zenon_intro zenon_H268 ].
% 55.30/55.40 apply (zenon_L114_); trivial.
% 55.30/55.40 apply (zenon_or_s _ _ zenon_H268); [ zenon_intro zenon_H230 | zenon_intro zenon_H269 ].
% 55.30/55.40 apply (zenon_L115_); trivial.
% 55.30/55.40 apply (zenon_or_s _ _ zenon_H269); [ zenon_intro zenon_H232 | zenon_intro zenon_H26a ].
% 55.30/55.40 apply (zenon_L116_); trivial.
% 55.30/55.40 apply (zenon_or_s _ _ zenon_H26a); [ zenon_intro zenon_H240 | zenon_intro zenon_H242 ].
% 55.30/55.40 apply (zenon_L166_); trivial.
% 55.30/55.40 apply (zenon_L125_); trivial.
% 55.30/55.40 apply (zenon_L903_); trivial.
% 55.30/55.40 apply (zenon_L532_); trivial.
% 55.30/55.40 apply (zenon_or_s _ _ zenon_H370); [ zenon_intro zenon_H335 | zenon_intro zenon_H363 ].
% 55.30/55.40 apply (zenon_L260_); trivial.
% 55.30/55.40 apply (zenon_L307_); trivial.
% 55.30/55.40 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H139 ].
% 55.30/55.40 apply (zenon_L32_); trivial.
% 55.30/55.40 apply (zenon_or_s _ _ zenon_H139); [ zenon_intro zenon_Hc8 | zenon_intro zenon_H13a ].
% 55.30/55.40 apply (zenon_L35_); trivial.
% 55.30/55.40 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_Hcd | zenon_intro zenon_H13b ].
% 55.30/55.40 apply (zenon_L402_); trivial.
% 55.30/55.40 apply (zenon_or_s _ _ zenon_H13b); [ zenon_intro zenon_Hcf | zenon_intro zenon_H13c ].
% 55.30/55.40 apply (zenon_L38_); trivial.
% 55.30/55.40 apply (zenon_or_s _ _ zenon_H13c); [ zenon_intro zenon_Hd1 | zenon_intro zenon_H13d ].
% 55.30/55.40 apply (zenon_L39_); trivial.
% 55.30/55.40 apply (zenon_or_s _ _ zenon_H13d); [ zenon_intro zenon_Hd8 | zenon_intro zenon_H13e ].
% 55.30/55.40 apply (zenon_L41_); trivial.
% 55.30/55.40 apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_He0 | zenon_intro zenon_H13f ].
% 55.30/55.40 apply (zenon_L42_); trivial.
% 55.30/55.40 apply (zenon_or_s _ _ zenon_H13f); [ zenon_intro zenon_He3 | zenon_intro zenon_H140 ].
% 55.30/55.40 apply (zenon_L43_); trivial.
% 55.30/55.40 apply (zenon_or_s _ _ zenon_H140); [ zenon_intro zenon_He6 | zenon_intro zenon_H141 ].
% 55.30/55.40 apply (zenon_L44_); trivial.
% 55.30/55.40 apply (zenon_or_s _ _ zenon_H141); [ zenon_intro zenon_H142 | zenon_intro zenon_H108 ].
% 55.30/55.40 apply (zenon_L328_); trivial.
% 55.30/55.40 apply (zenon_L54_); trivial.
% 55.30/55.40 apply (zenon_or_s _ _ zenon_H128); [ zenon_intro zenon_H2b | zenon_intro zenon_H134 ].
% 55.30/55.40 apply (zenon_L5_); trivial.
% 55.30/55.40 apply (zenon_or_s _ _ zenon_H134); [ zenon_intro zenon_H4f | zenon_intro zenon_H135 ].
% 55.30/55.40 apply (zenon_L12_); trivial.
% 55.30/55.40 apply (zenon_or_s _ _ zenon_H135); [ zenon_intro zenon_H77 | zenon_intro zenon_H136 ].
% 55.30/55.40 apply (zenon_L938_); trivial.
% 55.30/55.40 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_H89 | zenon_intro zenon_H137 ].
% 55.30/55.40 apply (zenon_L329_); trivial.
% 55.30/55.40 apply (zenon_or_s _ _ zenon_H137); [ zenon_intro zenon_Hb6 | zenon_intro zenon_H138 ].
% 55.30/55.40 apply (zenon_L931_); trivial.
% 55.30/55.40 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H139 ].
% 55.30/55.40 apply (zenon_L32_); trivial.
% 55.30/55.40 apply (zenon_or_s _ _ zenon_H139); [ zenon_intro zenon_Hc8 | zenon_intro zenon_H13a ].
% 55.30/55.40 apply (zenon_L35_); trivial.
% 55.30/55.40 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_Hcd | zenon_intro zenon_H13b ].
% 55.30/55.40 apply (zenon_L321_); trivial.
% 55.30/55.40 apply (zenon_or_s _ _ zenon_H13b); [ zenon_intro zenon_Hcf | zenon_intro zenon_H13c ].
% 55.30/55.40 apply (zenon_L38_); trivial.
% 55.30/55.40 apply (zenon_or_s _ _ zenon_H13c); [ zenon_intro zenon_Hd1 | zenon_intro zenon_H13d ].
% 55.30/55.40 apply (zenon_L39_); trivial.
% 55.30/55.40 apply (zenon_or_s _ _ zenon_H13d); [ zenon_intro zenon_Hd8 | zenon_intro zenon_H13e ].
% 55.30/55.40 apply (zenon_L41_); trivial.
% 55.30/55.40 apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_He0 | zenon_intro zenon_H13f ].
% 55.30/55.40 apply (zenon_L42_); trivial.
% 55.30/55.40 apply (zenon_or_s _ _ zenon_H13f); [ zenon_intro zenon_He3 | zenon_intro zenon_H140 ].
% 55.30/55.40 apply (zenon_L43_); trivial.
% 55.30/55.40 apply (zenon_or_s _ _ zenon_H140); [ zenon_intro zenon_He6 | zenon_intro zenon_H141 ].
% 55.30/55.40 apply (zenon_L44_); trivial.
% 55.30/55.40 apply (zenon_or_s _ _ zenon_H141); [ zenon_intro zenon_H142 | zenon_intro zenon_H108 ].
% 55.30/55.40 apply (zenon_L328_); trivial.
% 55.30/55.40 apply (zenon_L54_); trivial.
% 55.30/55.40 apply (zenon_or_s _ _ zenon_H64d); [ zenon_intro zenon_H413 | zenon_intro zenon_H443 ].
% 55.30/55.40 apply (zenon_L418_); trivial.
% 55.30/55.40 apply (zenon_L468_); trivial.
% 55.30/55.40 apply (zenon_notand_s _ _ zenon_H667); [ zenon_intro zenon_H51a | zenon_intro zenon_H668 ].
% 55.30/55.40 apply (zenon_or_s _ _ zenon_H186); [ zenon_intro zenon_H16b | zenon_intro zenon_H187 ].
% 55.30/55.40 apply (zenon_L942_); trivial.
% 55.30/55.40 apply (zenon_or_s _ _ zenon_H187); [ zenon_intro zenon_H171 | zenon_intro zenon_H188 ].
% 55.30/55.40 apply (zenon_L69_); trivial.
% 55.30/55.40 apply (zenon_or_s _ _ zenon_H188); [ zenon_intro zenon_H178 | zenon_intro zenon_H17f ].
% 55.30/55.40 apply (zenon_L70_); trivial.
% 55.30/55.40 apply (zenon_L71_); trivial.
% 55.30/55.40 apply (zenon_notand_s _ _ zenon_H668); [ zenon_intro zenon_H522 | zenon_intro zenon_H669 ].
% 55.30/55.40 apply (zenon_or_s _ _ zenon_H63b); [ zenon_intro zenon_H127 | zenon_intro zenon_H64c ].
% 55.30/55.40 apply (zenon_L58_); trivial.
% 55.30/55.40 apply (zenon_or_s _ _ zenon_H64c); [ zenon_intro zenon_H64e | zenon_intro zenon_H64d ].
% 55.30/55.40 apply (zenon_and_s _ _ zenon_H64e). zenon_intro zenon_H514. zenon_intro zenon_H64f.
% 55.30/55.40 apply (zenon_and_s _ _ zenon_H64f). zenon_intro zenon_H499. zenon_intro zenon_H650.
% 55.30/55.40 apply (zenon_and_s _ _ zenon_H650). zenon_intro zenon_H481. zenon_intro zenon_H651.
% 55.30/55.40 apply (zenon_and_s _ _ zenon_H651). zenon_intro zenon_H395. zenon_intro zenon_H652.
% 55.30/55.40 apply (zenon_and_s _ _ zenon_H652). zenon_intro zenon_H654. zenon_intro zenon_H653.
% 55.30/55.40 apply (zenon_and_s _ _ zenon_H653). zenon_intro zenon_H656. zenon_intro zenon_H655.
% 55.30/55.40 apply (zenon_and_s _ _ zenon_H655). zenon_intro zenon_H3c0. zenon_intro zenon_H3c1.
% 55.30/55.40 apply (zenon_or_s _ _ zenon_H656); [ zenon_intro zenon_H28d | zenon_intro zenon_Hc3 ].
% 55.30/55.40 apply (zenon_or_s _ _ zenon_H3c0); [ zenon_intro zenon_H101 | zenon_intro zenon_Hd3 ].
% 55.30/55.40 apply (zenon_or_s _ _ zenon_H3c1); [ zenon_intro zenon_H383 | zenon_intro zenon_He8 ].
% 55.30/55.40 apply (zenon_or_s _ _ zenon_H128); [ zenon_intro zenon_H2b | zenon_intro zenon_H134 ].
% 55.30/55.40 apply (zenon_L5_); trivial.
% 55.30/55.40 apply (zenon_or_s _ _ zenon_H134); [ zenon_intro zenon_H4f | zenon_intro zenon_H135 ].
% 55.30/55.40 apply (zenon_L12_); trivial.
% 55.30/55.40 apply (zenon_or_s _ _ zenon_H135); [ zenon_intro zenon_H77 | zenon_intro zenon_H136 ].
% 55.30/55.40 apply (zenon_and_s _ _ zenon_H77). zenon_intro zenon_H57. zenon_intro zenon_H78.
% 55.30/55.40 apply (zenon_and_s _ _ zenon_H78). zenon_intro zenon_H121. zenon_intro zenon_Hda.
% 55.30/55.40 apply (zenon_and_s _ _ zenon_Hda). zenon_intro zenon_Hdc. zenon_intro zenon_Hdb.
% 55.30/55.40 apply (zenon_and_s _ _ zenon_Hdb). zenon_intro zenon_Hde. zenon_intro zenon_Hdd.
% 55.30/55.40 apply (zenon_and_s _ _ zenon_Hdd). zenon_intro zenon_Hd5. zenon_intro zenon_Hdf.
% 55.30/55.40 apply (zenon_or_s _ _ zenon_Hd5); [ zenon_intro zenon_Hd7 | zenon_intro zenon_Hd7 ].
% 55.30/55.40 apply (zenon_L971_); trivial.
% 55.30/55.40 apply (zenon_L971_); trivial.
% 55.30/55.40 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_H89 | zenon_intro zenon_H137 ].
% 55.30/55.40 apply (zenon_L316_); trivial.
% 55.30/55.40 apply (zenon_or_s _ _ zenon_H137); [ zenon_intro zenon_Hb6 | zenon_intro zenon_H138 ].
% 55.30/55.40 apply (zenon_and_s _ _ zenon_Hb6). zenon_intro zenon_H4e. zenon_intro zenon_Hb8.
% 55.30/55.40 apply (zenon_and_s _ _ zenon_Hb8). zenon_intro zenon_Hb9. zenon_intro zenon_H2e.
% 55.30/55.40 apply (zenon_and_s _ _ zenon_H2e). zenon_intro zenon_H30. zenon_intro zenon_H2f.
% 55.30/55.40 apply (zenon_and_s _ _ zenon_H2f). zenon_intro zenon_Hbb. zenon_intro zenon_Hba.
% 55.30/55.40 apply (zenon_and_s _ _ zenon_Hba). zenon_intro zenon_Hbc. zenon_intro zenon_Haa.
% 55.30/55.40 apply (zenon_or_s _ _ zenon_H30); [ zenon_intro zenon_H31 | zenon_intro zenon_H31 ].
% 55.30/55.40 apply (zenon_L980_); trivial.
% 55.30/55.40 apply (zenon_L980_); trivial.
% 55.30/55.40 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H139 ].
% 55.30/55.40 apply (zenon_L32_); trivial.
% 55.30/55.40 apply (zenon_or_s _ _ zenon_H139); [ zenon_intro zenon_Hc8 | zenon_intro zenon_H13a ].
% 55.30/55.40 apply (zenon_L35_); trivial.
% 55.30/55.40 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_Hcd | zenon_intro zenon_H13b ].
% 55.30/55.40 apply (zenon_L321_); trivial.
% 55.30/55.40 apply (zenon_or_s _ _ zenon_H13b); [ zenon_intro zenon_Hcf | zenon_intro zenon_H13c ].
% 55.30/55.40 apply (zenon_L38_); trivial.
% 55.30/55.40 apply (zenon_or_s _ _ zenon_H13c); [ zenon_intro zenon_Hd1 | zenon_intro zenon_H13d ].
% 55.30/55.40 apply (zenon_L39_); trivial.
% 55.30/55.40 apply (zenon_or_s _ _ zenon_H13d); [ zenon_intro zenon_Hd8 | zenon_intro zenon_H13e ].
% 55.30/55.40 apply (zenon_L41_); trivial.
% 55.30/55.40 apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_He0 | zenon_intro zenon_H13f ].
% 55.30/55.40 apply (zenon_L42_); trivial.
% 55.30/55.40 apply (zenon_or_s _ _ zenon_H13f); [ zenon_intro zenon_He3 | zenon_intro zenon_H140 ].
% 55.30/55.40 apply (zenon_L43_); trivial.
% 55.30/55.40 apply (zenon_or_s _ _ zenon_H140); [ zenon_intro zenon_He6 | zenon_intro zenon_H141 ].
% 55.30/55.40 apply (zenon_L44_); trivial.
% 55.30/55.40 apply (zenon_or_s _ _ zenon_H141); [ zenon_intro zenon_H142 | zenon_intro zenon_H108 ].
% 55.30/55.40 apply (zenon_L328_); trivial.
% 55.30/55.40 apply (zenon_L54_); trivial.
% 55.30/55.40 apply (zenon_L958_); trivial.
% 55.30/55.40 apply (zenon_L960_); trivial.
% 55.30/55.40 apply (zenon_L351_); trivial.
% 55.30/55.40 apply (zenon_or_s _ _ zenon_H64d); [ zenon_intro zenon_H413 | zenon_intro zenon_H443 ].
% 55.30/55.40 apply (zenon_L418_); trivial.
% 55.30/55.40 apply (zenon_L468_); trivial.
% 55.30/55.40 apply (zenon_notand_s _ _ zenon_H669); [ zenon_intro zenon_H534 | zenon_intro zenon_H66a ].
% 55.30/55.40 apply (zenon_or_s _ _ zenon_H63b); [ zenon_intro zenon_H127 | zenon_intro zenon_H64c ].
% 55.30/55.40 apply (zenon_L58_); trivial.
% 55.30/55.40 apply (zenon_or_s _ _ zenon_H64c); [ zenon_intro zenon_H64e | zenon_intro zenon_H64d ].
% 55.30/55.40 apply (zenon_and_s _ _ zenon_H64e). zenon_intro zenon_H514. zenon_intro zenon_H64f.
% 55.30/55.40 apply (zenon_and_s _ _ zenon_H64f). zenon_intro zenon_H499. zenon_intro zenon_H650.
% 55.30/55.40 apply (zenon_and_s _ _ zenon_H650). zenon_intro zenon_H481. zenon_intro zenon_H651.
% 55.30/55.40 apply (zenon_and_s _ _ zenon_H651). zenon_intro zenon_H395. zenon_intro zenon_H652.
% 55.30/55.40 apply (zenon_and_s _ _ zenon_H652). zenon_intro zenon_H654. zenon_intro zenon_H653.
% 55.30/55.40 apply (zenon_and_s _ _ zenon_H653). zenon_intro zenon_H656. zenon_intro zenon_H655.
% 55.30/55.40 apply (zenon_and_s _ _ zenon_H655). zenon_intro zenon_H3c0. zenon_intro zenon_H3c1.
% 55.30/55.40 apply (zenon_or_s _ _ zenon_H3c0); [ zenon_intro zenon_H101 | zenon_intro zenon_Hd3 ].
% 55.30/55.40 apply (zenon_or_s _ _ zenon_H3c1); [ zenon_intro zenon_H383 | zenon_intro zenon_He8 ].
% 55.30/55.40 apply (zenon_or_s _ _ zenon_H128); [ zenon_intro zenon_H2b | zenon_intro zenon_H134 ].
% 55.30/55.40 apply (zenon_L5_); trivial.
% 55.30/55.40 apply (zenon_or_s _ _ zenon_H134); [ zenon_intro zenon_H4f | zenon_intro zenon_H135 ].
% 55.30/55.40 apply (zenon_L12_); trivial.
% 55.30/55.40 apply (zenon_or_s _ _ zenon_H135); [ zenon_intro zenon_H77 | zenon_intro zenon_H136 ].
% 55.30/55.40 apply (zenon_L1011_); trivial.
% 55.30/55.40 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_H89 | zenon_intro zenon_H137 ].
% 55.30/55.40 apply (zenon_L316_); trivial.
% 55.30/55.40 apply (zenon_or_s _ _ zenon_H137); [ zenon_intro zenon_Hb6 | zenon_intro zenon_H138 ].
% 55.30/55.40 apply (zenon_L1026_); trivial.
% 55.30/55.40 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H139 ].
% 55.30/55.40 apply (zenon_L32_); trivial.
% 55.30/55.40 apply (zenon_or_s _ _ zenon_H139); [ zenon_intro zenon_Hc8 | zenon_intro zenon_H13a ].
% 55.30/55.40 apply (zenon_L35_); trivial.
% 55.30/55.40 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_Hcd | zenon_intro zenon_H13b ].
% 55.30/55.40 apply (zenon_L321_); trivial.
% 55.30/55.40 apply (zenon_or_s _ _ zenon_H13b); [ zenon_intro zenon_Hcf | zenon_intro zenon_H13c ].
% 55.30/55.40 apply (zenon_L38_); trivial.
% 55.30/55.40 apply (zenon_or_s _ _ zenon_H13c); [ zenon_intro zenon_Hd1 | zenon_intro zenon_H13d ].
% 55.30/55.40 apply (zenon_L39_); trivial.
% 55.30/55.40 apply (zenon_or_s _ _ zenon_H13d); [ zenon_intro zenon_Hd8 | zenon_intro zenon_H13e ].
% 55.30/55.40 apply (zenon_L41_); trivial.
% 55.30/55.40 apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_He0 | zenon_intro zenon_H13f ].
% 55.30/55.40 apply (zenon_L42_); trivial.
% 55.30/55.40 apply (zenon_or_s _ _ zenon_H13f); [ zenon_intro zenon_He3 | zenon_intro zenon_H140 ].
% 55.30/55.40 apply (zenon_L43_); trivial.
% 55.30/55.40 apply (zenon_or_s _ _ zenon_H140); [ zenon_intro zenon_He6 | zenon_intro zenon_H141 ].
% 55.30/55.40 apply (zenon_L44_); trivial.
% 55.30/55.40 apply (zenon_or_s _ _ zenon_H141); [ zenon_intro zenon_H142 | zenon_intro zenon_H108 ].
% 55.30/55.40 apply (zenon_L328_); trivial.
% 55.30/55.40 apply (zenon_L54_); trivial.
% 55.30/55.40 apply (zenon_or_s _ _ zenon_H128); [ zenon_intro zenon_H2b | zenon_intro zenon_H134 ].
% 55.30/55.40 apply (zenon_L5_); trivial.
% 55.30/55.40 apply (zenon_or_s _ _ zenon_H134); [ zenon_intro zenon_H4f | zenon_intro zenon_H135 ].
% 55.30/55.40 apply (zenon_L12_); trivial.
% 55.30/55.40 apply (zenon_or_s _ _ zenon_H135); [ zenon_intro zenon_H77 | zenon_intro zenon_H136 ].
% 55.30/55.40 apply (zenon_L1011_); trivial.
% 55.30/55.40 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_H89 | zenon_intro zenon_H137 ].
% 55.30/55.40 apply (zenon_L329_); trivial.
% 55.30/55.40 apply (zenon_or_s _ _ zenon_H137); [ zenon_intro zenon_Hb6 | zenon_intro zenon_H138 ].
% 55.30/55.40 apply (zenon_L1026_); trivial.
% 55.30/55.40 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H139 ].
% 55.30/55.40 apply (zenon_L32_); trivial.
% 55.30/55.40 apply (zenon_or_s _ _ zenon_H139); [ zenon_intro zenon_Hc8 | zenon_intro zenon_H13a ].
% 55.30/55.40 apply (zenon_L35_); trivial.
% 55.30/55.40 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_Hcd | zenon_intro zenon_H13b ].
% 55.30/55.40 apply (zenon_L331_); trivial.
% 55.30/55.40 apply (zenon_or_s _ _ zenon_H13b); [ zenon_intro zenon_Hcf | zenon_intro zenon_H13c ].
% 55.30/55.40 apply (zenon_L38_); trivial.
% 55.30/55.40 apply (zenon_or_s _ _ zenon_H13c); [ zenon_intro zenon_Hd1 | zenon_intro zenon_H13d ].
% 55.30/55.40 apply (zenon_L39_); trivial.
% 55.30/55.40 apply (zenon_or_s _ _ zenon_H13d); [ zenon_intro zenon_Hd8 | zenon_intro zenon_H13e ].
% 55.30/55.40 apply (zenon_L41_); trivial.
% 55.30/55.40 apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_He0 | zenon_intro zenon_H13f ].
% 55.30/55.40 apply (zenon_L42_); trivial.
% 55.30/55.40 apply (zenon_or_s _ _ zenon_H13f); [ zenon_intro zenon_He3 | zenon_intro zenon_H140 ].
% 55.30/55.40 apply (zenon_L43_); trivial.
% 55.30/55.40 apply (zenon_or_s _ _ zenon_H140); [ zenon_intro zenon_He6 | zenon_intro zenon_H141 ].
% 55.30/55.40 apply (zenon_L44_); trivial.
% 55.30/55.40 apply (zenon_or_s _ _ zenon_H141); [ zenon_intro zenon_H142 | zenon_intro zenon_H108 ].
% 55.30/55.40 apply (zenon_L328_); trivial.
% 55.30/55.40 apply (zenon_L54_); trivial.
% 55.30/55.40 apply (zenon_L1060_); trivial.
% 55.30/55.40 apply (zenon_or_s _ _ zenon_H64d); [ zenon_intro zenon_H413 | zenon_intro zenon_H443 ].
% 55.30/55.40 apply (zenon_L418_); trivial.
% 55.30/55.40 apply (zenon_L468_); trivial.
% 55.30/55.40 apply (zenon_notand_s _ _ zenon_H66a); [ zenon_intro zenon_H53a | zenon_intro zenon_H66b ].
% 55.30/55.40 apply (zenon_or_s _ _ zenon_H63b); [ zenon_intro zenon_H127 | zenon_intro zenon_H64c ].
% 55.30/55.40 apply (zenon_L58_); trivial.
% 55.30/55.40 apply (zenon_or_s _ _ zenon_H64c); [ zenon_intro zenon_H64e | zenon_intro zenon_H64d ].
% 55.30/55.40 apply (zenon_and_s _ _ zenon_H64e). zenon_intro zenon_H514. zenon_intro zenon_H64f.
% 55.30/55.40 apply (zenon_and_s _ _ zenon_H64f). zenon_intro zenon_H499. zenon_intro zenon_H650.
% 55.30/55.40 apply (zenon_and_s _ _ zenon_H650). zenon_intro zenon_H481. zenon_intro zenon_H651.
% 55.30/55.40 apply (zenon_and_s _ _ zenon_H651). zenon_intro zenon_H395. zenon_intro zenon_H652.
% 55.30/55.40 apply (zenon_and_s _ _ zenon_H652). zenon_intro zenon_H654. zenon_intro zenon_H653.
% 55.30/55.40 apply (zenon_and_s _ _ zenon_H653). zenon_intro zenon_H656. zenon_intro zenon_H655.
% 55.30/55.40 apply (zenon_and_s _ _ zenon_H655). zenon_intro zenon_H3c0. zenon_intro zenon_H3c1.
% 55.30/55.40 apply (zenon_or_s _ _ zenon_H3c1); [ zenon_intro zenon_H383 | zenon_intro zenon_He8 ].
% 55.30/55.40 apply (zenon_L1082_); trivial.
% 55.30/55.40 apply (zenon_or_s _ _ zenon_H128); [ zenon_intro zenon_H2b | zenon_intro zenon_H134 ].
% 55.30/55.40 apply (zenon_L5_); trivial.
% 55.30/55.40 apply (zenon_or_s _ _ zenon_H134); [ zenon_intro zenon_H4f | zenon_intro zenon_H135 ].
% 55.30/55.40 apply (zenon_L12_); trivial.
% 55.30/55.40 apply (zenon_or_s _ _ zenon_H135); [ zenon_intro zenon_H77 | zenon_intro zenon_H136 ].
% 55.30/55.40 apply (zenon_L1071_); trivial.
% 55.30/55.40 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_H89 | zenon_intro zenon_H137 ].
% 55.30/55.40 apply (zenon_L329_); trivial.
% 55.30/55.40 apply (zenon_or_s _ _ zenon_H137); [ zenon_intro zenon_Hb6 | zenon_intro zenon_H138 ].
% 55.30/55.40 apply (zenon_L1081_); trivial.
% 55.30/55.40 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H139 ].
% 55.30/55.40 apply (zenon_L32_); trivial.
% 55.30/55.40 apply (zenon_or_s _ _ zenon_H139); [ zenon_intro zenon_Hc8 | zenon_intro zenon_H13a ].
% 55.30/55.40 apply (zenon_L35_); trivial.
% 55.30/55.40 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_Hcd | zenon_intro zenon_H13b ].
% 55.30/55.40 apply (zenon_L331_); trivial.
% 55.30/55.40 apply (zenon_or_s _ _ zenon_H13b); [ zenon_intro zenon_Hcf | zenon_intro zenon_H13c ].
% 55.30/55.40 apply (zenon_L38_); trivial.
% 55.30/55.40 apply (zenon_or_s _ _ zenon_H13c); [ zenon_intro zenon_Hd1 | zenon_intro zenon_H13d ].
% 55.30/55.40 apply (zenon_L39_); trivial.
% 55.30/55.40 apply (zenon_or_s _ _ zenon_H13d); [ zenon_intro zenon_Hd8 | zenon_intro zenon_H13e ].
% 55.30/55.40 apply (zenon_L41_); trivial.
% 55.30/55.40 apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_He0 | zenon_intro zenon_H13f ].
% 55.30/55.40 apply (zenon_L42_); trivial.
% 55.30/55.40 apply (zenon_or_s _ _ zenon_H13f); [ zenon_intro zenon_He3 | zenon_intro zenon_H140 ].
% 55.30/55.40 apply (zenon_L43_); trivial.
% 55.30/55.40 apply (zenon_or_s _ _ zenon_H140); [ zenon_intro zenon_He6 | zenon_intro zenon_H141 ].
% 55.30/55.40 apply (zenon_L44_); trivial.
% 55.30/55.40 apply (zenon_or_s _ _ zenon_H141); [ zenon_intro zenon_H142 | zenon_intro zenon_H108 ].
% 55.30/55.40 apply (zenon_L328_); trivial.
% 55.30/55.40 apply (zenon_L54_); trivial.
% 55.30/55.40 apply (zenon_or_s _ _ zenon_H64d); [ zenon_intro zenon_H413 | zenon_intro zenon_H443 ].
% 55.30/55.40 apply (zenon_L418_); trivial.
% 55.30/55.40 apply (zenon_L468_); trivial.
% 55.30/55.40 apply (zenon_notand_s _ _ zenon_H66b); [ zenon_intro zenon_H66d | zenon_intro zenon_H66c ].
% 55.30/55.40 apply (zenon_notor_s _ _ zenon_H66d). zenon_intro zenon_H26b. zenon_intro zenon_H66e.
% 55.30/55.40 apply (zenon_L127_); trivial.
% 55.30/55.40 apply (zenon_notand_s _ _ zenon_H66c); [ zenon_intro zenon_H670 | zenon_intro zenon_H66f ].
% 55.30/55.40 apply (zenon_notor_s _ _ zenon_H670). zenon_intro zenon_H672. zenon_intro zenon_H671.
% 55.30/55.40 apply (zenon_notor_s _ _ zenon_H671). zenon_intro zenon_H27c. zenon_intro zenon_H673.
% 55.30/55.40 exact (zenon_H27c zenon_H270).
% 55.30/55.40 apply (zenon_notand_s _ _ zenon_H66f); [ zenon_intro zenon_H674 | zenon_intro zenon_H548 ].
% 55.30/55.40 apply (zenon_notor_s _ _ zenon_H674). zenon_intro zenon_H676. zenon_intro zenon_H675.
% 55.30/55.40 apply (zenon_notor_s _ _ zenon_H675). zenon_intro zenon_H678. zenon_intro zenon_H677.
% 55.30/55.40 apply (zenon_notor_s _ _ zenon_H677). zenon_intro zenon_H44e. zenon_intro zenon_H679.
% 55.30/55.40 apply (zenon_L469_); trivial.
% 55.30/55.40 apply (zenon_L1083_); trivial.
% 55.30/55.40 Qed.
% 55.30/55.40 % SZS output end Proof
% 55.30/55.40 (* END-PROOF *)
% 55.30/55.40 nodes searched: 1894696
% 55.30/55.40 max branch formulas: 2405
% 55.30/55.40 proof nodes created: 40551
% 55.30/55.40 formulas created: 1171668
% 55.30/55.40
%------------------------------------------------------------------------------